Documentation

Module urban_sarca_lib

Urban Green SARCA library includes functions usable for quick estimation of radioactive deposition of the surface.

urban_sarca_lib.contBiomass(depo, IF)[source]

Radiaoctive contamination of biomass

System Message: WARNING/2 ((Bq.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • depo – Total radioactive deposition

    System Message: WARNING/2 ((Bq.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • IF – Interception Factor (rel.)

Returns

Radioactive contamination of biomass

System Message: WARNING/2 ((Bq.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

urban_sarca_lib.contMass(cont_biomass, fresh_biomass)[source]

Calculation radioactive contamination of fresh vegetation mass

System Message: WARNING/2 ((Bq.kg^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • cont_biomass – Radioactive deposition on biomass

    System Message: WARNING/2 ((Bq.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • fresh_biomass – Amount of fresh biomass of vegetation

    System Message: WARNING/2 ((t.ha^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Fresh vegetation mass radioactive contamination

System Message: WARNING/2 ((Bq.kg^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

urban_sarca_lib.contSoil(depo, IF)[source]

Radiaoctive contamination of soil

System Message: WARNING/2 ((Bq.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • depo – Total radioactive deposition

    System Message: WARNING/2 ((Bq.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • IF – Interception Factor (rel.)

Returns

Radioactive contamination of soil

System Message: WARNING/2 ((Bq.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

urban_sarca_lib.hygLimit(cont_mass, hyg_lim=1000)[source]

Mask for hygienic limit of biomass radioactive contamination exceeding.

Parameters
  • cont_mass – Fresh vegetation mass radioactive contamination

    System Message: WARNING/2 ((Bq.kg^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • hyg_lim – Hygienic limit of mass radioactive contamination

    System Message: WARNING/2 ((Bq.kg^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    . Default value is 1000

    System Message: WARNING/2 ((Bq.kg^{-1}))

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    according to Czech law.

Returns

Mask for hygienic limit of biomass radioactive contamination exceeding.

urban_sarca_lib.interceptFactor(LAI, precip, fresh_biomass, k=1.0, S=0.2)[source]

Interception factor for both dry and wet deposition of radionuclides.

Parameters
  • LAI – Leaf Area Index (unitless)

  • k – Constant of radionuclide: I = 0.5, Sr and Ba = 2.0, Cs and another radionuclides = 1.0

  • precip – Precipitation amount (mm) for period of deposition (ca 24 hours after radiation accident).

  • fresh_biomass – Amount of fresh biomass

    System Message: WARNING/2 ((t.ha^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • S – Mean thickness of water film at plant leaves (mm). Default S = 0.2 mm

Returns

Interception Factor (rel.)

urban_sarca_lib.referLevel(depo, rl_dict)[source]

Mask of radioactive deposition for reference levels (categories) defined by tresholds.

Parameters
  • depo – Total radioactive deposition

    System Message: WARNING/2 ((Bq.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • rl_dict – Dictionary with reference level tresholds

    System Message: WARNING/2 ((Bq.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    and their keys (RL 1, RL 2, …).

Returns

Mask of radioactive deposition for reference levels.

Module SEBCS_lib

Module SEBCS_lib is library of SEBCS software (Brom 2020) designed for geographical and remotely sensed purposes, mainly for analysis of energy balance of the surface. Some methods are used within Urban Green SARCA software.

class SEBCS_lib.GeoIO[source]

Class includes functions for reading of geotransformation features from raster and for writing ne rasters from numpy arrays.

arrayToRast(arrays, names, prj, gtransf, EPSG, out_folder, driver_name='GTiff', out_file_name=None, multiband=False)[source]

Export numpy 2D arrays to multiband or singleband raster files. Following common raster formats are accepted for export:

  • ENVI .hdr labeled raster format

  • Erdas Imagine (.img) raster format

  • Idrisi raster format (.rst)

  • TIFF / BigTIFF / GeoTIFF (.tif) raster format

  • PCI Geomatics Database File (.pix) raster format

Parameters
  • arrays (numpy.ndarray, list) – Numpy array or list of arrays for export to raster.

  • names (str, list) – Name or list of names of the exported bands (in case of multiband raster) or particular rasters (in case of singleband rasters).

  • prj (str) – Projection information of the exported raster (dataset).

  • gtransf (tuple) – The affine transformation coefficients.

  • EPSG (int) – EPSG Geodetic Parameter Set code.

  • out_folder (str) – Path to folder where the raster(s) will be created.

  • driver_name (str) – GDAL driver. ‘GTiff’ is default.

  • out_file_name (str) – Name of exported multiband raster.

  • multiband (bool) – Option of multiband raster creation.

Returns

Raster singleband or multiband file(s)

Return type

raster

lyrsExtent(in_lyrs_list)[source]

Check differences between size of the input layers. Function compares rasters only on basis of number of columns and rows.

Parameters

in_lyrs_list (list) – List of layers (Numpy 2D arrays).

Returns

True

static rasterToArray(layer)[source]

Conversion of raster layer to numpy array.

Parameters

layer (str) – Path to raster layer.

Returns

raster file converted to numpy array

Return type

numpy.ndarray

readGeo(rast)[source]

Reading geographical information from raster using GDAL.

Parameters

rast (str) – Path to raster file in GDAL accepted format.

Returns

The affine transformation coefficients.

Return type

tuple

Returns

Projection information of the raster (dataset).

Return type

str

Returns

Pixel width (m) on X axis.

Return type

float

Returns

Pixel height (m) on Y axis.

Return type

float

Returns

EPSG Geodetic Parameter Set code.

Return type

int

class SEBCS_lib.HeatFluxes[source]

Calculation of heat fluxes and heat balance features from spectral and thermal spatial data and meteorological measurements. The class contains a set of methods for calculation heat balance, e.g. ground heat flux, sensible heat flux, latent heat flux, evaporative fraction, omega factor (decoupling coefficient), surface resistance for water vapour transfer etc. Calculation for both aerodynamic and gradient method is included.

aeroEF(LE, Rn, G)[source]

Evaporative fraction calculated using aerodynamic method (rel.).

Parameters
  • LE (numpy.ndarray) – Latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

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  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Evaporative fraction (rel.)

Return type

numpy.ndarray

bowen(flux_H, LE)[source]

Bowen ratio according to Bowen (1926)

Parameters
  • flux_H (numpy.ndarray) – Sensible heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • LE (numpy.ndarray) – Latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Bowen ratio (unitless)

Return type

numpy.ndarray

cwsi(LEp, ra, rc, E_Z_sat, e_Z, rho, delta, gamma, cp=1012)[source]

Crop Water Stress Index calculated according to Jackson et al. ( 1981, 1988).

Parameters
  • LEp (numpy.ndarray) – Potential evaporation latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

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  • rc – Surface resistance for water vapour transfer

    System Message: WARNING/2 ((s.m^{-1}))

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  • E_Z_sat (numpy.ndarray) – Saturated water vapour pressure (kPa).

  • e_Z (numpy.ndarray) – Water vapour pressure (kPa).

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

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  • delta (numpy.ndarray) – Delta function

    System Message: WARNING/2 ((kPa.K^{-1}))

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  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

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    .

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

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Returns

Crop Water Stress Index (CWSI)

Return type

numpy.ndarray

fluxHAer(ra, rho, dT, cp=1012.0)[source]

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

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calculated using aerodynamic method.

Parameters
  • ra (numpy.ndarray) – Aerodynamic resistance for heat and momentum transfer

    System Message: WARNING/2 ((s.m^{-1}))

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    calculated according to Thom (1975)

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

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  • dT (numpy.ndarray) – Temperature gradient calculated according to SEBAL (Bastiaanssen et al. 1998)

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

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  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

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Returns

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

fluxLE(Rn, G, flux_H)[source]

Latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • flux_H (numpy.ndarray) – Sensible heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

fluxLE_EQ(Rn, G, delta, gamma)[source]

Equilibrium evaporation rate

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters
  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • delta (numpy.ndarray) – Delta function

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

Returns

Equilibrium evaporation latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Return type

numpy.ndarray

fluxLE_PT(LE_eq, alpha=1.26)[source]

Evaporation from wet surface according to Priestley-Taylor (1972).

Parameters
  • LE_eq (numpy.ndarray) – Equilibrium evaporation latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • alpha (float) – Priestley-Taylor alpha.

Returns

Latent heat flux for wet surface calculated by Priestley-Taylor

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

fluxLE_p(Rn, G, delta, VPD, ra, gamma, rho, cp=1012.0)[source]

Latent heat flux for potential evapotranspiration according to Penman (1948)

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters
  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • delta (numpy.ndarray) – Delta function

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • VPD (numpy.ndarray) – Water vapour pressure in air (kPa)

  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Potential evaporation latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Return type

numpy.ndarray

fluxLE_ref(Rn, G, ta, ts, U, Rh, DMT, veg_type='short', cp=1012.0)[source]

Latent heat flux for reference evapotranspiration according to FAO56 method (Allen et al. 1998, ASCE-ET 2000)

Parameters
  • Rn (numpy.ndarray, float) – Rn: Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray, float) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta – Air temperature measured at meteostation at approx. 2 m.

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type ta: numpy.ndarray, float :param ts: Surface temperature measured at meteostation at approx. 2 m.

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:param U: Wind speed measured at meteostation

System Message: WARNING/2 ((m.s^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type U: numpy.ndarray, float :param Rh: Relative humidity (%) :type Rh: numpy.ndarray, float :param DMT: Digital model of terrain or altitude (m a.s.l.) :type DMT: numpy.ndarray, float :param veg_type: Type of vegetation - “short” or “tall” :type veg_type: str :param cp: Thermal heat capacity of dry air

System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type cp: float

Returns

Latent heat flux for reference evapotranspiration.

Return type

numpy.ndarray, float

References

Allen, R. et al., 1998. Crop Evapotranspiration: Guidelines for Computing Crop Water Requirements. United Nations Food and Agriculture Organization, Irrigation and Drainage Paper 56, Rome, Italy. 300 pp. *ASCE-ET 2000: ASCE’s Standardized Reference Evapotranspiration Equation. National Irrigation Symposium in Phoenix, Arizona, US.

gamma_x(rcp, ra, gamma)[source]

Psychrometric constant corrected on the rcp and ra according to Jackson et al. (1981, 1988).

Parameters
  • rcp (numpy.ndarray) – Surface resistance for water vapour transfer for potential evapotranspiration

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

Returns

Psychrometric constant corrected on the rcp and ra according to Jackson et al. (1981, 1988)

System Message: WARNING/2 ((kPa.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

..

Return type

numpy.ndarray

gradEF(ts, ta, mask=None)[source]

Evaporative fraction calculated from gradient method according to Suleiman and Crago (2004).

Parameters
  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray, float) – Air temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • mask – Mask of the area of interest. Number of rows and columns

should be the same. Format (1, 0) or (1, nan). :type mask: numpy.ndarray

Returns

Evaporative fraction (rel.)

Return type

numpy.ndarray

gradH(LE, Rn, G)[source]

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

calculated using gradient method.

Parameters
  • LE (numpy.ndarray) – Latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

gradLE(EF, Rn, G)[source]

Latent heat flux calculated using gradient method

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters
  • EF – Evaporative fraction (rel.)

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

groundFlux(ndvi, Rn, ts, albedo)[source]

Ground heat flux according to Bastiaanssen et al. (1998)

Parameters
  • ndvi (numpy.ndarray) – NDVI spectral vegetation index (unitless)

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • albedo (numpy.ndarray) – Albedo (rel.)

Returns

Ground heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

heatFluxes(Rn, G, ts, ta, method='aero', Uz=None, h_eff=None, LAI=None, z0m=None, z0h=None, rho=None, disp=None, mask=None, air_pressure=101.3, Z=200.0, cp=1012, L=- 10000.0, n_iter=10, a=1.0, b=0.667, c=5.0, d=0.35, kappa=0.41, gravit=9.81)[source]

Function provides a calculation for heat fluxes, aerodynimc resistance of surface and friction velocity for three different methods: 1. “aero” - Aerodynamic method based on Monin-Obukhov theory 2. “sebal” - Method based on SEBAL approach provided by

Bastiaanssen et al.

param disp

param Rn

Total net radiation

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

type Rn

numpy.ndarray

param G

Ground heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

type G

numpy.ndarray

param ts

Surface temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

type ts

numpy.ndarray

param ta

Air temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

type ta

numpy.ndarray, float

param method

Method of heat fluxes calculation:

  • aero - Aerodynamic method based on calculation

of ra using approach proposed by Thom (1975)

  • SEBAL - SEBAL method proposed by Bastiaanssen et al. (1998)

  • grad - Gradient method proposed by Suleiman and Crago (2004)

type method

str

param Uz

Wind speed measured on meteostation at level Z_st

System Message: WARNING/2 ((m.s^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

type Uz

float, numpy.ndarray

param h_eff

Effective height of vegetation cover

type h_eff

numpy.ndarray, float

param LAI

Leaf area index

System Message: WARNING/2 ((m^{2}.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

param z0m

Aerodynamic roughness of the surface for momentum

transfer (m) :type z0m: numpy.ndarray :param z0h: Aerodynamic roughness of the surface for heat transfer (m) :type z0h: numpy.ndarray :param rho: Volumetric dry air density

System Message: WARNING/2 ((kg.m^{-3}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type rho: numpy.ndarray, float :param disp: Zero plane displacement (m) :type disp: numpy.ndarray, float :param mask: Mask of the area of interest. Number of rows and columns should be the same. Format (1, 0) or (1, nan). :type mask: numpy.ndarray :param air_pressure: Air pressure at level Z (kPa) :type air_pressure: float, numpy.ndarray :param Z: Blending height (m) :type Z: float :param cp: Thermal heat capacity of dry air

System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type cp: float :param L: Initial Monin-Obukhov lenght (m). :type L: float :param n_iter: Number of iteration in stability coefficient calculation. :type n_iter: int :param a: Constant for stability parameters calculation (Beljaars and Holtslag, 1991) :type a: float :param b: Constant for stability parameters calculation (Beljaars and Holtslag, 1991) :type b: float :param c: Constant for stability parameters calculation (Beljaars and Holtslag, 1991) :type c: float :param d: Constant for stability parameters calculation (Beljaars and Holtslag, 1991) :type d: float :param kappa: von Karman constant. Default 0.41 :type kappa: float :param gravit: Gravitation forcing (m/s2). Default 9.81 :type gravit: float

returns

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

rtype

numpy.ndarray

returns

Latent heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

rtype

numpy.ndarray

returns

Evaporative fraction (rel.)

rtype

numpy.ndarray

returns

Latent heat flux for equilibrium evaporation :math:`(W.m^{

-2})` :rtype: numpy.ndarray :returns: Latent heat flux for Priestley-Taylor evaporation

System Message: WARNING/2 (( W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:rtype: numpy.ndarray :returns: Aerodynamic resistance for heat and momentum transfer

System Message: WARNING/2 (( s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:rtype: numpy.ndarray :returns: Friction velocity

System Message: WARNING/2 ((m.s^{-1}))

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References

Bastiaanssen, W.G.M., Menenti, M., Feddes, R.A., Holtslag, A.A.M., 1998. A remote sensing surface energy balance algorithm for land ( SEBAL). 1. Formulation. Journal of Hydrology 212–213, 198–212. https://doi.org/10.1016/S0022-1694(98)00253-4

Beljaars, A.C.M., Holtslag, A.A.M., 1991. Flux Parametrization over Land Surfaces for Atmospheric Models. Journal of Applied Meteorology 30, 327–341. https://doi.org/10.1175/1520-0450( 1991)030<0327:FPOLSF>2.0.CO;2

Suleiman, A., Crago, R., 2004. Hourly and Daytime Evapotranspiration from Grassland Using Radiometric Surface Temperatures. Agronomy Journal 96, 384–390. https://doi.org/10.2134/agronj2004.3840

Thom, A.S., 1975. Momentum, mass and heat exchange of plant communities, in: Monteith, J.L. (Ed.), Vegetation and the Atmosphere, Vol. 1 Principles. Academic Press, London, pp. 57–110.

intensityE(LE, latent)[source]

Evaporation intensity in

System Message: WARNING/2 (mmol.m^{-2}.s^{-1})

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.

Parameters
  • LE (numpy.ndarray) – Latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

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  • latent (numpy.ndarray) – Latent heat of water evaporation

    System Message: WARNING/2 ((J.g^{-1}))

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    .

Returns

Intensity of water evaporation

System Message: WARNING/2 ((mmol.m^{-2}.s^{-1}))

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.

Return type

numpy.ndarray

omega(LE, LE_p)[source]

Omega factor (Decoupling coefficient) according to Jarvis and McNaughton (1985)

Parameters
  • LE (numpy.ndarray) – Latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

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  • LE_p (numpy.ndarray) – Potential evaporation latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

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Returns

Omega factor (unitless)

Return type

numpy.ndarray

References:

Jarvis, P., McNaughton, K., 1986. Stomatal Control of Transpiration: Scaling Up from Leaf to Region, in: Advances in Ecological Research. Elsevier, pp. 1–49.

rcp(E_Z_sat, e_Z, rho, LE_p, ra, gamma, cp=1012.0)[source]

Surface resistance for water vapour transfer for potential evapotranspiration

System Message: WARNING/2 ((s.m^{-1}))

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.

Parameters
  • E_Z_sat (numpy.ndarray) – Saturated water vapour pressure (kPa).

  • e_Z (numpy.ndarray) – Water vapour pressure (kPa).

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

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  • LE_p (numpy.ndarray) – Potential evaporation latent heat flux

    System Message: WARNING/2 ((W.m^{-2}))

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  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

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  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Surface resistance for water vapour transfer for potential evapotranspiration

System Message: WARNING/2 ((s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Return type

numpy.ndarray

rs(delta, gamma, omega, ra)[source]

Surface resistance for water vapour transfer

System Message: WARNING/2 ((s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • delta (numpy.ndarray) – Delta function

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • gamma (numpy.ndarray) – Psychrometric constant

    System Message: WARNING/2 ((kPa.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • omega (numpy.ndarray) – Decoupling coefficient (rel.)

  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Surface resistance for water vapour transfer

System Message: WARNING/2 ((s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

class SEBCS_lib.MeteoFeatures[source]

Calculation of basic meteorological features and miscellaneous variables.

airDensity(ta)[source]

Volumetric dry air density

System Message: WARNING/2 ((kg.m^{-3}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters

ta (numpy.ndarray, float) – Air temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Volumetric dry air density

System Message: WARNING/2 ((kg.m^{-3}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray, float

airPress(ta, DMT, Z=200.0, P0=101.325, adiabatic=0.0065)[source]

Atmospheric air pressure at level Z (kPa)

Parameters
  • ta (numpy.ndarray, float) – Air temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • DMT (numpy.ndarray, float) – Digital elevation model or altitude (m)

  • Z (float) – Height of measurement above surface (m)

  • P0 (float) – Sea level air pressure (kPa)

  • adiabatic (float) – Adiabatic lapse rate

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

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Returns

Air pressure at level Z (kPa)

Return type

numpy.ndarray, float

airTemp(ta_st, st_altitude, DMT, adiabatic=0.0065)[source]

Conversion of air temperature calculated from temperature data and digital elevation model

System Message: WARNING/2 ((\SI{}\degreeCelsius))

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to spatial near to ground temperature or temperature at different altitude.

Parameters

ta_st – Air temperature measured on meteostation :math:`(SI{

}degreeCelsius)` :type ta_st: float :param st_altitude: Meteostation altitude (m a.s.l.) :type st_altitude: float :param DMT: Digital elevation model (m) or altitude for calculation of ta value. :type DMT: numpy.ndarray, float :param adiabatic: Adiabatic lapse rate

System Message: WARNING/2 ((\SI{}\degreeCelsius))

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. Default = 0.0065

System Message: WARNING/2 (\SI{}\degreeCelsius.m^{-1})

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

:type adiabatic: float :return: Spatial air temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

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:rtype: numpy.ndarray, float

airTemperatureBlending(ta_surface, Z=200.0, Z_st=2.0, adiabatic=0.0065)[source]

Conversion of spatial air temperature measured for near surface level to level Z above the surface. This approach is usually used for calculation of air temperature at blending height (mixing layer).

Parameters

ta_surface – Spatial air temperature for near ground level (

Z_st;

System Message: WARNING/2 (\SI{}\degreeCelsius))

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:type ta_surface: :param Z: Height of a level which is used for calculation. Default value corresponds with “blending” height or height of mixing layer. Default is 200 m above surface. :type Z: float :param Z_st: Height of air temperature measurement (m) :type Z_st: float :param adiabatic: Adiabatic lapse rate

System Message: WARNING/2 ((\SI{}\degreeCelsius))

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. Default = 0.0065

System Message: WARNING/2 (\SI{}\degreeCelsius.m^{-1})

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:type adiabatic: float :return:

delta(ts, ta)[source]

Slope of water vapour pressure gradient to temperature gradient - delta function

System Message: WARNING/2 ((kPa.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

. Calculation according to Jackson et al. (1998).

Parameters
  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

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  • ta (numpy.ndarray, float) – Air temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

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Returns

Slope of water vapour pressure gradient to temperature gradient - delta function

System Message: WARNING/2 ((kPa.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

emissivity(red, ndvi)[source]

Surface emissivity calculated according to Sobrino et al. (2004) NDVI Treshold Method.

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • ndvi (numpy.ndarray) – Spectral vegetation index NDVI (unitless)

Returns

Surface emissivity (rel.)

Return type

numpy.ndarray

gamma(airP, latent, cp=1012.0)[source]

Psychrometric constant

System Message: WARNING/2 ((kPa.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters
  • airP (numpy.ndarray, float) – Atmospheric pressure (kPa)

  • latent – Latent heat for water vapour exchange

    System Message: WARNING/2 ((J.g^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Psychrometric constant

System Message: WARNING/2 ((kPa.K^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray, float

latent(ta)[source]

Latent heat for the water vapour exchange

System Message: WARNING/2 ((J.g^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Parameters

ta (numpy.ndarray, float) – Air temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Latent heat for the water vapour exchange

System Message: WARNING/2 ((J.g^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray, float

satVapourPress(ta)[source]

Saturated water vapour pressure (kPa) calculated using Magnus-Tetens equation.

Parameters

ta (numpy.ndarray, float) – Air temperature

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Saturated water vapour pressure (kPa)

Return type

numpy.ndarray, float

surfaceTemperature(tir_band, emissivity=1.0, emis_rule='No')[source]

Correction of surface temperature on emissivity. :param tir_band: Layer of surface temperature

System Message: WARNING/2 ((\SI{ }\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

. :type tir_band: numpy.ndarray :param emissivity: Layer of emissivity (rel.). :type emissivity: numpy.ndarray :param emis_rule: Setting if the correction will be done or not.

No is default.

Returns

Layer of corrected surface temperature :math:`(SI{

}degreeCelsius)`. :rtype: numpy.ndarray

vapourPress(E_sat, Rh)[source]

Water vapour pressure in air (kPa).

Parameters
  • E_sat (numpy.ndarray, float) – Saturated water vapour pressure (kPa)

  • Rh (numpy.ndarray, float) – Relative humidity of air (%)

Returns

Water vapour pressure in air (kPa)

Return type

numpy.ndarray, float

vpd(E_sat, e_abs)[source]

Water vapour pressure deficit (kPa).

Parameters
  • E_sat (numpy.array, float) – Saturated water vapour pressure (kPa)

  • e_abs (numpy.array, float) – Water vapour pressure in air (kPa)

Returns

Water vapour pressure deficit (kPa)

Return type

numpy.ndarray, float

class SEBCS_lib.SolarRadBalance[source]

Class contains functions for calculation of solar radiation balance and topographic features: incident radiation in dependence on surface geometry, slope of terrain, aspect of terrain, albedo, longwave radiation fluxes and atmospheric emissivity, shortwave radiation reflectance and total net radiation

albedo(band_red, band_nir, sat_type='L8', band_blue=None, band_green=None, band_sw1=None, band_sw2=None)[source]

Calculation of Albedo according to data type (satellite data type) or data availability. Albedo can be calculated using Landsat data or using any data including RED and NIR band. For the Landsat 8 data Olmedo method is used, for tle Landsat 4, 5 and 7 Tasumi approach is used. If only RED and NIR bands are available, Brom method is used.

Parameters
  • band_red (numpy.ndarray) – Red band (rel.)

  • band_nir (numpy.ndarray) – NIR band (rel.)

  • sat_type (str) –

    Type of Landsat satellite:

    • L5 - Landsat 4 TM, 5 TM or Landsat 7 ETM+

    • L8 - Landsat 8 OLI/TIRS

  • band_blue (numpy.ndarray) – Blue band (rel.)

  • band_green (numpy.ndarray) – Green band (rel.)

  • band_sw1 (numpy.ndarray) – SWIR1 band on ca 1.61

    System Message: WARNING/2 (\mu m)

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    (rel.)

  • band_sw2 (numpy.ndarray) – SWIR2 band on ca 2.2

    System Message: WARNING/2 (\mu m)

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    (rel.)

Returns

Albedo (rel.)

Return type

numpy.ndarray

References:

G.F. Olmedo, S. Ortega-Farias, D. Fonseca-Luengo, D. de la Fuente-Saiz, F.F. Peñailillo 2018: Water: actual evapotranspiration with energy balance models. R Package Version 0.6 (2017)

Tasumi, M., Allen, R.G., Trezza, R., 2008. At-Surface Reflectance and Albedo from Satellite for Operational Calculation of Land Surface Energy Balance. Journal of Hydrologic Engineering 13, 51–63. https://doi.org/10.1061/(ASCE)1084-0699(2008)13:2(51).

Duffková, R., Brom, J., Žížala, D., Zemek, F., Procházka, J., Nováková, E., Zajíček, A., Kvítek, T., 2012. Určení infiltračních oblastí pomocí vodního stresu vegetace na základě dálkového průzkumu Země a pozemních měření. Certifikovaná metodika. VÚMOP, v.v.i., Praha.

albedoBrom(ndvi, msavi, c_a=0.08611, c_b=0.894716, c_c=5.558657, c_d=- 0.11829, c_e=- 1.9818, c_f=- 4.50339, c_g=- 11.4625, c_h=7.461454, c_i=5.299396, c_j=4.76657, c_k=- 2.3127, c_l=- 3.42739)[source]

Albedo (rel.) calculated according to Duffková and Brom et al. (2012)

Parameters
  • ndvi (numpy.array) – Normalized Difference Vegetation Index (-)

  • msavi – Modified Soil Adjusted Vegetation Index (-) according to Gao et al. 1996.

  • c_a (float) – constant. Default a = 0.08611

  • c_b (float) – constant. Default a = 0.894716

  • c_c (float) – constant. Default a = 5.558657

  • c_d (float) – constant. Default a = -0.11829

  • c_e (float) – constant. Default a = -1.9818

  • c_f (float) – constant. Default a = -4.50339

  • c_g (float) – constant. Default a = -11.4625

  • c_h (float) – constant. Default a = 7.461454

  • c_i (float) – constant. Default a = 5.299396

  • c_j (float) – constant. Default a = 4.76657

  • c_k (float) – constant. Default a = -2.3127

  • c_l (float) – constant. Default a = -3.42739

Returns

Albedo (rel.)

Return type

numpy.ndarray

References:

Duffková, R., Brom, J., Žížala, D., Zemek, F., Procházka, J., Nováková, E., Zajíček, A., Kvítek, T., 2012. Určení infiltračních oblastí pomocí vodního stresu vegetace na základě dálkového průzkumu Země a pozemních měření. Certifikovaná metodika. VÚMOP, v.v.i., Praha.

albedoLandsat(blue, green, red, nir, swir1, swir2, sat_type='L8')[source]

Albedo (rel.) calculated for Landsat satellite sensors. Albedo for Landsat 4 TM, 5 TM and Landsat 7 ETM+ is calculated according to Tasumi et al. (2008). Albedo for Landsat 8 OLI/TIRS is calculated according to Olmeo et al. (2017). Albedo is computed with spectral reflectance bands on relative scale (0 to 1).

Note: This algorithm might be used with another data from different devices, however a comparable spectral data (bands) should be used.

Parameters
  • blue (numpy.ndarray) – Blue band (rel.)

  • green (numpy.ndarray) – Green band (rel.)

  • red (numpy.ndarray) – Red band (rel.)

  • nir (numpy.ndarray) – NIR band (rel.)

  • swir1 (numpy.ndarray) – SWIR1 band on ca 1.61

    System Message: WARNING/2 (\mu m)

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    (rel.)

  • swir2 (numpy.ndarray) – SWIR2 band on ca 2.2

    System Message: WARNING/2 (\mu m)

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    (rel.)

  • sat_type (str) –

    Type of Landsat satellite:

    • L5 - Landsat 4 TM, 5 TM or Landsat 7 ETM+

    • L8 - Landsat 8 OLI/TIRS

Returns

Albedo (rel.)

Return type

numpy.ndarray

References:

G.F. Olmedo, S. Ortega-Farias, D. Fonseca-Luengo, D. de la Fuente-Saiz, F.F. Peñailillo 2018: Water: actual evapotranspiration with energy balance models. R Package Version 0.6 (2017)

Tasumi, M., Allen, R.G., Trezza, R., 2008. At-Surface Reflectance and Albedo from Satellite for Operational Calculation of Land Surface Energy Balance. Journal of Hydrologic Engineering 13, 51–63. https://doi.org/10.1061/(ASCE)1084-0699(2008)13:2(51).

atmEmissivity(e_Z, ta)[source]

Atmospheric emissivity calculated according to Idso (see Brutsaert 1982).

Parameters
  • e_Z (numpy.ndarray, float) – Atmospheric water vapour pressure (kPa)

  • ta (numpy.ndarray, float) – Air temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Air emissivity (rel.)

Return type

numpy.ndarray, float

downRL(ta, emis_a)[source]

Funtion calculates downward flux of longwave radiation

System Message: WARNING/2 ((W.m^{ -2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • ta (numpy.ndarray, float) – Air temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • emis_a (numpy.ndarray, float) – Air emissivity (rel.)

Return RL_in

Downward flux of longwave radiation

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Rtype RL_in

numpy.ndarray, float

netRad(Rs_in_corr, Rs_out, RL_in, RL_out)[source]

Total net radiation.

Parameters
  • Rs_in_corr (numpy.ndarray) – Incomming global (shortwave) radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • Rs_out (numpy.ndarray) – Outgoing (reflected) shortwave radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • RL_in (numpy.ndarray) – Incomming (downward) longwave radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • RL_out (numpy.ndarray) – Outgoing (upward) longwave radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Total net radiation flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

outRL(ts, emiss)[source]

Upward flux of longwave radiation

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • emiss (numpy.ndarray) – Surface emissivity (rel.)

Returns

Upward flux of longwave radiation

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

reflectRs(Rs_in_corr, albedo)[source]

Amount of shortwave radiation reflected from surface

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Parameters
  • Rs_in_corr (numpy.ndarray) – Incomming global radiation corrected on DEM

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • albedo (numpy.ndarray) – Surface albedo (rel.)

Returns

Amount of reflected global radiation

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

slopeAspect(DMT, x_size, y_size)[source]

Slope and aspect of terrain (DMT) in degrees.

Parameters
  • DMT (numpy.ndarray) – Digital model of terrain (m a.s.l.)

  • x_size (float) – Size of pixel in x axis (m)

  • y_size (float) – Size of pixel in y axis (m)

Returns

Slope of the terrain

System Message: WARNING/2 ((\SI{}\degree))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

Returns

Aspect of the terrain

System Message: WARNING/2 ((\SI{}\degree))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

solarInTopo(Rs_in, slope, aspect, latitude, longitude, date_acq, time_acq)[source]

Calculation of incident shortwave solar radiation flux according to the solar geometry, position (latitude and longitude) and shape of surface (slope and orientation). Flux of the solar energy

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

is calculated on basis of the measured global radiation using pyranometer (incomming global radiation). Diffuse part of radiation is not separated in calculation.

Parameters
  • Rs_in (float) – Global radiation measured by pyranometer

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • slope (numpy.ndarray) – Slope of the terrain

    System Message: WARNING/2 ((\SI{}\degree))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

    .

  • aspect (numpy.ndarray) – Orientation of the terrain

    System Message: WARNING/2 ((\SI{}\degree))

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    .

  • latitude (float) – Mean latitude of the data in decimal degrees

  • longitude (float) – Mean longitude of the data in decimal degrees

  • date_acq (datetime.date) – Date of data acquisition in iso format (‘YYYY-mm-dd’)

  • time_acq (datetime.time) – Time in GMT in datetime.time format (‘HH:MM:SS.SS’)

Returns

Incident shortwave radiation

System Message: WARNING/2 ((W.m^{-2}))

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corrected on the terrain and solar geometry.

Return type

numpy.ndarray

class SEBCS_lib.VegIndices[source]

Calculation of vegetation indices from spectral data.

LAI(red, nir, method=2)[source]

Leaf Area Index (LAI) calculated according to several methods.

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

  • method (int) –

    Method of LAI calculation:

    • 0: Pôças

    • 1: Bastiaanssen

    • 2: Jafaar (default)

    • 3: Anderson

    • 4: vineyard

    • 5: Carrasco

    • 6: Turner

    • 7: Haboudane

    • 8: Brom (experimental)

Returns

Leaf Area Index (LAI)

System Message: WARNING/2 ((m^2.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

References

Anderson, M., Neale, C., Li, F., Norman, J., Kustas, W., Jayanthi, H., Chavez, J., 2004. Upscaling ground observations of vegetation water content, canopy height, and leaf area index during SMEX02 using aircraft and Landsat imagery. Remote Sensing of Environment 92, 447–464. https://doi.org/10.1016/j.rse.2004.03.019

Bastiaanssen, W.G.M., Menenti, M., Feddes, R.A., Holtslag, A.A.M., 1998. A remote sensing surface energy balance algorithm for land ( SEBAL). 1. Formulation. Journal of Hydrology 212–213, 198–212. https://doi.org/10.1016/S0022-1694(98)00253-4

Carrasco-Benavides, M., Ortega-Farías, S., Lagos, L., Kleissl, J., Morales-Salinas, L., Kilic, A., 2014. Parameterization of the Satellite-Based Model (METRIC) for the Estimation of Instantaneous Surface Energy Balance Components over a Drip-Irrigated Vineyard. Remote Sensing 6, 11342–11371. https://doi.org/10.3390/rs61111342

Jaafar, H.H., Ahmad, F.A., 2019. Time series trends of Landsat-based ET using automated calibration in METRIC and SEBAL: The Bekaa Valley, Lebanon. Remote Sensing of Environment S0034425718305947. https://doi.org/10.1016/j.rse.2018.12.033

Pôças, I., Paço, T.A., Cunha, M., Andrade, J.A., Silvestre, J., Sousa, A., Santos, F.L., Pereira, L.S., Allen, R.G., 2014. Satellite-based evapotranspiration of a super-intensive olive orchard: Application of METRIC algorithms. Biosystems Engineering 128, 69–81. https://doi.org/10.1016/j.biosystemseng.2014.06.019

Turner, D.P., Cohen, W.B., Kennedy, R.E., Fassnacht, K.S., Briggs, J.M., 1999. Relationships between Leaf Area Index and Landsat TM Spectral Vegetation Indices across Three Temperate Zone Sites. Remote Sensing of Environment 70, 52–68. https://doi.org/10.1016/S0034-4257(99)00057-7

biomass_sat(ndvi)[source]

Calculation of amount of fresh biomass from satellite data. NDVI is used for estimation

System Message: WARNING/2 ((t.ha^{-1}))

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Parameters

ndvi – Normalized Difference Vegetation Index (NDVI).

Returns

Amount of fresh biomass

System Message: WARNING/2 ((t.ha^{-1}))

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fractVegCover(ndvi)[source]

Fractional vegetation cover layer - Fc.

Parameters

ndvi (numpy.ndarray) – Normalized Difference Vegetation Index - NDVI (unitless)

Returns

Fractional vegetation cover layer - Fc (unitless)

Return type

numpy.ndarray

vegHeight(h_min, h_max, msavi)[source]

Height of effective vegetation cover (m) derived from MSAVI index according to Gao et al. (2011).

Parameters
  • h_min (numpy.ndarray) – Maximal height of vegetation cover (m)

  • h_max (numpy.ndarray) – Minimal height of vegetation cover (m)

  • msavi (numpy.ndarray) – Modified Soil Adjusted Vegetation Index (MSAVI)

Returns

Effective vegetation cover height (m)

Return type

numpy.ndarray

References

Gao, Z.Q., Liu, C.S., Gao, W., Chang, N.-B., 2011. A coupled remote sensing and the Surface Energy Balance with Topography Algorithm (SEBTA) to estimate actual evapotranspiration over heterogeneous terrain. Hydrol. Earth Syst. Sci. 15, 119–139. https://doi.org/10.5194/hess-15-119-2011

viMSAVI(red, nir)[source]

Modified Soil Adjusted Vegetation Index - MSAVI (Qi et al. 1994).

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

Returns

Modified Soil Adjusted Vegetation Index - SAVI (unitless)

Return type

numpy.ndarray

References

Qi, J., Chehbouni, A., Huete, A.R., Kerr, Y.H., Sorooshian, S., 1994. A modified soil adjusted vegetation index. Remote Sensing of Environment 48, 119–126. https://doi.org/10.1016/0034-4257(94)90134-1

viNDMI(nir, swir1)[source]

Normalized Vegetation Moisture Index - NDMI.

Parameters
  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

  • swir1 – Spectral reflectance in SWIR region (approx. 1.61

    System Message: WARNING/2 (\mu{m})

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    (rel.)

Returns

Normalized Vegetation Moisture Index - NDMI (unitless)

Return type

numpy.ndarray

viNDVI(red, nir)[source]

Normalized Difference Vegetation Index - NDVI.

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

Returns

Normalized Difference Vegetation Index - NDVI (unitless)

Return type

numpy.ndarray

viOSAVI(red, nir, L=0.16)[source]

Optimized Soil Adjusted Vegetation Index - OSAVI (Rondeaux et al. ( 1996)).

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

  • L (float) – Parameter L. Default L=0.5

Returns

Soil Adjusted Vegetation Index - OSAVI (unitless)

Return type

numpy.ndarray

References

Rondeaux G., Steven M., Baret F. (1996): Optimisation of soil-adjusted vegetation indices Remote Sensing of Environment, 55 (1996), pp. 95-107

viRDVI(red, nir)[source]

Renormalized Difference Vegetation Index - RDVI (Roujean and Breon, 1995).

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

Returns

RDVI

Return type

numpy.ndarray

References

Roujean, J.-L., Breon, F.-M., 1995. Estimating PAR absorbed by vegetation from bidirectional reflectance measurements. Remote Sensing of Environment 51, 375–384. https://doi.org/10.1016/0034-4257(94)00114-3

viSAVI(red, nir, L=0.5)[source]

Soil Adjusted Vegetation Index - SAVI (Huete, 1988).

Parameters
  • red (numpy.ndarray) – Spectral reflectance in RED region (rel.)

  • nir (numpy.ndarray) – Spectral reflectance in NIR region (rel.)

  • L (float) – Parameter L. Default L=0.5

Returns

Soil Adjusted Vegetation Index - SAVI (unitless)

Return type

numpy.ndarray

References

Huete A.R. (1988): A soil-adjusted vegetation index (SAVI) Remote Sensing of Environment 27, 47-57.

class SEBCS_lib.WindStability[source]

Atmospheric stability calculation. Class includes methods for calculation of boundary layer stability, friction velocity and aerodynamic resistance of the surface. Methods for calculation of stability parameters for both aerodynamic and gradient methods are included. Methods for SEBAL procedure are also used. Some another features are included.

aeroSEBAL(Uz, ta, ts, z0m, Rn, G, rho, niter=10, Z=200, z1=0.1, z2=2, cp=1012.0, kappa=0.41, mask=None)[source]

Calculation of sensible heat flux and surface aerodynamic resistance according to Bastiaanssen et al. (1998).

Parameters
  • Uz (numpy.ndarray) – Wind speed at level Z

    System Message: WARNING/2 ((m.s^{-1}))

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  • ta (numpy.ndarray) – Air temperature at blending height

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

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  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • z0m (numpy.ndarray) – Surface roughness for momentum transfer (m)

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • niter (int) – Number of iteration

  • Z (float (Numpy array)) – Blending height (mixing layer height) (m). Default 200 m.

  • z1 (float) – First height above zero plane displacement (m)

  • z2 (float) – Second height above zero plane displacement (m)

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • kappa (float) – von Karman constant. Default 0.41

  • mask – Mask of the area of interest. Number of rows and columns

should be the same. Format (1, 0) or (1, nan). :type mask: numpy.ndarray

Returns

Aerodynamic resistance for heat transfer

System Message: WARNING/2 ((s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

calculated according to SEBAL (Bastiaanssen et al. 1998)

Return type

numpy.ndarray

Returns

Sensible heat flux

System Message: WARNING/2 ((W.m^{-2}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

calculated according to SEBAL (Bastiaanssen et al. 1998)

Return type

numpy.ndarray

static coefX(Z, L)[source]

X coefficient for atmospheric stability calculation.

Parameters
  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • L (numpy.ndarray) – Monin-Obukhov length (m)

Returns

X coefficient for atmospheric stability calculation

Return type

numpy.ndarray

static coef_a(t_wet, cb)[source]

Coefficient a calculated from temperature gradient.

Parameters
  • t_wet (numpy.ndarray) – Temperature for wet surface

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cb (numpy.ndarray) – Coefficient b calculated from temperature gradient

Returns

Coefficient a calculated from temperature gradient

Return type

numpy.ndarray

static coef_b(t_dry, t_wet, t_max, ta)[source]

Coefficient b calculated from temperature gradient.

Parameters
  • t_dry (float, numpy.ndarray) – Temperature for dry surface derived from the surface temperature layer

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • t_wet (float, numpy.ndarray) – Temperature for wet surface derived from the surface temperature layer

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • t_max (numpy.ndarray) – Maximal surface temperature calculated from energy balance

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray) – Air temperature at level Z

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Coefficient a calculated from temperature gradient

Return type

numpy.ndarray

dT(ts, ta, Rn, G, ra, rho, cp=1012.0, mask=None)[source]

Temperature gradient calculated according to SEBAL (Bastiaanssen et al. 1998).

Parameters
  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray) – Air temperature at level Z

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ra (numpy.ndarray) – Aerodynamic resistance

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • mask – Mask of the area of interest. Number of rows and columns

should be the same. Format (1, 0) or (1, nan). :type mask: numpy.ndarray :return: Temperature difference dT calculated according to Bastiaanssen (1998) :rtype: numpy.ndarray

static dryT(ts, mask=None)[source]

Extraction of temperature for dry surface with no evaporation.

Parameters
  • ts (numpy.ndarray) – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • mask – Mask of the area of interest. Number of rows and columns

should be the same. Format (1, 0) or (1, nan). :type mask: numpy.ndarray

Returns

Temperature of dry surface derived from surface temperature layer.

Return type

float

static frictVelo(Uz, z0m, disp=0.0, Z=200.0, psi_m=0, kappa=0.41)[source]

Friction velocity of wind speed

System Message: WARNING/2 ((m.s^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

corrected on atmospheric stability.

Parameters
  • disp (numpy.ndarray, float) –

  • Uz (numpy.ndarray) – Wind speed at Z level

    System Message: WARNING/2 ((m.s^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • z0m (numpy.ndarray, float) – Surface roughness for momentum transfer (m)

  • disp – Zero plane displacement (m)

  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • psi_m (numpy.ndarray) – Stability parameter for momentum transfer. Defaul 0.

  • kappa (float) – von Karman constant. Default 0.41

Returns

Friction velocity

System Message: WARNING/2 ((m.s^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

static lengthMO(frict, ts, flux_H=None, rho=None, t_virt=None, cp=1012, kappa=0.41, gravit=9.81)[source]

Monin-Obukhov length (m)

Parameters
  • frict (numpy.ndarray) – Friction velocity

    System Message: WARNING/2 ((m.s^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ts (numpy.ndarray) – Surface temperature (C degree)

  • flux_H (numpy.ndarray) – Sensible heat flux (W.m2)

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • t_virt (numpy.ndarray) – Virtual temperature

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • kappa (float) – von Karman constant. Default 0.41

  • gravit (float) – Gravitation forcing (m/s2). Default 9.81

Returns

Monin-Obukhov length (m)

Return type

numpy.ndarray

static maxT(Rn, G, ra, ta, rho, cp=1012.0)[source]

Maximal surface temperature calculated on physical basis (K).

Parameters
  • Rn (numpy.ndarray) – Total net radiation

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • G (numpy.ndarray) – Ground heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ra (numpy.ndarray) – Aerodynamic resistance for heat transfer

    System Message: WARNING/2 ((s.m^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray) – Air temperature at level Z

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Maximal surface temperature calculated from energy balance equation

System Message: WARNING/2 ((\SI{}\degreeCelsius))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

static psiH(L, X, Z=200, a=1.0, b=0.667, c=5.0, d=0.35)[source]

Calculation of stability parameter for heat transfer (-) according to Beljaars et Holstag (1991) for stable conditions and Liu et al. (2007) for unstable and neutral conditions.

Parameters
  • L (numpy.ndarray) – Monin-Obukhov length (m)

  • X (numpy.ndarray) – X coefficient for stability calculation

  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • a (float) – Coefficient. Default a = 1.0

  • b (float) – Coefficient. Default b = 0.667

  • c (float) – Coefficient. Defalt c = 5.0

  • d (float) – Coefficient. Default d = 0.35

Returns

Stability parameter for momentum transfer (-)

Return type

numpy.ndarray

static psiM(L, X, Z=200, a=1.0, b=0.667, c=5.0, d=0.35)[source]

Calculation of stability parameter for momentum transfer (-) according to Beljaars et Holstag (1991) for stable conditions and Liu et al. (2007) for unstable and neutral conditions.

Parameters
  • L (numpy.ndarray) – Monin-Obukhov length (m)

  • X (numpy.ndarray) – X coefficient for stability calculation

  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • a (float) – Coefficient. Default a = 1.0

  • b (float) – Coefficient. Default b = 0.667

  • c (float) – Coefficient. Defalt c = 5.0

  • d (float) – Coefficient. Default d = 0.35

Returns

Stability parameter for momentum transfer (-)

Return type

numpy.ndarray

static raGrad(flux_H, rho, ts, ta, cp=1012)[source]

Aerodynamic resistance for heat and momentum transfer (s.m^{-1}) calculated from conversion of sensible heat flux equation.

Parameters
  • flux_H (numpy.ndarray) – Sensible heat flux

    System Message: WARNING/2 ((W.m^{-2}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • rho (numpy.ndarray) – Specific air density

    System Message: WARNING/2 ((g.m^{-3}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ts – Surface temperature

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray) – Air temperature at level Z

    System Message: WARNING/2 ((\SI{}\degreeCelsius))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • cp (float) – Thermal heat capacity of dry air

    System Message: WARNING/2 ((K.kg^{-1}.K^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Returns

Aerodynamic resistance for gradient model

System Message: WARNING/2 ((s.m^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

Return type

numpy.ndarray

static raSEBAL(frict, psiH_z1, psiH_z2, z1=0.1, z2=2.0, kappa=0.41)[source]

Calculation of surface aerodynamic resistance for heat transfer based on SEBAL approach (Bastiaanssen, 1998).

Parameters
  • frict (numpy.ndarray) – Friction velocity

    System Message: WARNING/2 ((m.s^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • psiH_z1 (numpy.ndarray) – Stability parameter for momentum transfer (-) at level z1

  • psiH_z2 (numpy.ndarray) – Stability parameter for momentum transfer (-) at level z2

  • z1 (float) – First height above zero plane displacement (m)

  • z2 (float) – Second height above zero plane displacement (m)

  • kappa (float) – von Karman constant. Default 0.41

Returns

Aerodynamic resistance for heat transfer based on SEBAL approach (Bastiaanssen, 1998).

Return type

numpy.ndarray

static raThom(Uz, z0m, z0h, disp=0.0, psi_m=0.0, psi_h=0.0, Z=200.0, kappa=0.41)[source]

Aerodynamic resistance for heat and momentum transfer (s.m-1) calculated according to Thom (1975).

Parameters
  • disp (numpy.ndarray, float) –

  • Uz (numpy.ndarray) – Wind speed at level Z

    System Message: WARNING/2 ((m.s^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • z0m (numpy.ndarray) – Surface roughness for momentum transfer (m)

  • z0h (numpy.ndarray) – Surface roughness for heat transfer (m)

  • disp – Zero plane displacement (m)

  • psi_m (numpy.ndarray) – Stability parameter for momentum transfer (-). Default is 0.

  • psi_h (numpy.ndarray) – Stability parameter for heat transfer (-) Default is 0.

  • Z (float (Numpy array)) – Blending height (mixing layer height) (m). Default 200 m.

  • kappa (float) – von Karman constant. Default 0.41

Return ra

Aerodynamic resistance for heat and momentum transfer (s.m-1) calculated according to Thom (1975)

Rtype ra

numpy.ndarray

References

Thom, A.S., 1975. Momentum, mass and heat exchange of plant communities, in: Monteith, J.L. (Ed.), Vegetation and the Atmosphere, Vol. 1 Principles. Academic Press, London, pp. 57–110.

stabCoef(Uz, ta, ts, z0m, z0h, disp=0, Z=200, L=- 10000.0, n_iter=10, a=1.0, b=0.667, c=5.0, d=0.35, kappa=0.41, gravit=9.81)[source]

Stability parameters calculation using iterative procedure described by Itier (1980).

Parameters
  • disp (numpy.ndarray, float) –

  • Uz (numpy.ndarray) – Wind speed at level Z

    System Message: WARNING/2 ((m.s^{-1}))

    latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

  • ta (numpy.ndarray) – Air temperature at Z level (K, C degrees)

  • ts (numpy.ndarray) – Surface temperature (K, C degrees)

  • z0m (numpy.ndarray) – Surface roughness for momentum transfer (m)

  • z0h (numpy.ndarray) – Surface roughness for heat transfer (m)

  • disp – Zero plane displacement (m)

  • Z (float (Numpy array)) – Blending height (mixing layer height) (m). Default 200 m.

  • L (float) – Initial value of Monin-Obukhov length (m). Default -10000.0

  • n_iter (int) – Number of iteration

  • a (float) – Coefficient. Default a = 1.0

  • b (float) – Coefficient. Default b = 0.667

  • c (float) – Coefficient. Defalt c = 5.0

  • d (float) – Coefficient. Default d = 0.35

  • kappa (float) – von Karman constant. Default 0.41

  • gravit (float) – Gravitation forcing (m/s2). Default 9.81

Returns

Stability parameter for momentum transfer (-)

Return type

numpy.ndarray

Returns

Stability parameter for heat transfer (-)

Return type

numpy.ndarray

Returns

Friction velocity

System Message: WARNING/2 ((m.s^{-1}))

latex exited with error [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2022/dev/Debian) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-01-21> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2021/10/04 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/anyfontsize/anyfontsize.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/bm.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mathtools/mhsetup.sty)) ! LaTeX Error: File `siunitx.sty' not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: sty) Enter file name: ! Emergency stop. <read *> l.14 ^^M No pages of output. Transcript written on math.log.

.

Return type

numpy.ndarray

Returns

Monin-Obukhov length (m)

Return type

numpy.ndarray

static virtTemp(ta, ts, z0h, disp=0.0, Z=200, psi_h=0, kappa=0.41)[source]

Virtual temperature (K) corrected on atmospheric stability.

Parameters
  • disp (numpy.ndarray, float) –

  • ta (numpy.ndarray) – Air temperature at Z level (K, C degrees)

  • ts (numpy.ndarray) – Surface temperature (K, C degrees)

  • z0h (numpy.ndarray) – Surface roughness for heat transfer (m)

  • disp – Zero plane displacement (m)

  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • psi_h (numpy.ndarray) – Stability parameter for heat transfer, Default 0.

  • kappa (float) – von Karman constant. Default 0.41

Returns

Virtual temperature (K)

Return type

numpy.ndarray

static wetT(ta)[source]

Surface temperature for wet surface. In this case surface temperature for wet surface is equal to air temperature. This statement follows from imagine that the LE = Rn - G and thus H is close to zero.

Parameters

ta (numpy.ndarray) – Air temperature at level Z

System Message: WARNING/2 ((\SI{}\degreeCelsius))

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Returns

Temperature of wet surface.

Return type

numpy.ndarray

static windSpeedZ(U, Z=200.0, Z_st=2.0, h_st=0.12, ws_homog=1)[source]

Wind speed recalculated to height Z according to logarithmic law (Gao et al. 2011). The results can contain simple number, homogenous or heterogenous matrix of data (Numpy array).

Parameters
  • U (float, numpy.ndarray) – Wind speed measured on meteostation at level Z_st

    System Message: WARNING/2 ((m.s^{-1}))

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    .

  • Z (float) – Blending height (mixing layer height) (m). Default 200 m.

  • Z_st (float) – Height of wind speed measurement (m). Default 2 m.

  • h_st (float) – Height of vegetation cover under meteostation (m). Default value is 0.12 m which corresponds with reference cover used for meteostations.

  • ws_homog – Indicates if the result matrix contains uniform

result (mean value of wind speed for the area) or if the results includes heterogeneity of input data (each pixel is calculated separately). 0 - homogenous, 1 - heterogenous :type ws_homog: int :return: Wind speed at mixing layer

System Message: WARNING/2 ((m.s^{-1}))

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:rtype: float, numpy.ndarray

References

Gao, Z.Q., Liu, C.S., Gao, W., Chang, N.B., 2011. A coupled remote sensing and the Surface Energy Balance with Topography Algorithm (SEBTA) to estimate actual evapotranspiration over heterogeneous terrain. Hydrol. Earth Syst. Sci. 15, 119–139. https://doi.org/10.5194/hess-15-119-2011

static z0h(z0m)[source]

Aerodynamic roughness of the surface for heat transfer (m) calculated according to Thom (1975).

Parameters

z0m (numpy.ndarray, float) – Aerodynamic roughness of the surface for momentum transfer (m)

Returns

Aerodynamic roughness of the surface for heat transfer (m)

Return type

numpy.ndarray, float

References

Thom, A.S., 1975. Momentum, mass and heat exchange of plant communities, in: Monteith, J.L. (Ed.), Vegetation and the Atmosphere, Vol. 1 Principles. Academic Press, London, pp. 57–110.

static z0m(h_eff, LAI)[source]

Aerodynamic roughness of the surface for momentum transfer (m). z0m is calculated according to Tasumi (2003) for vegetation cover lower tha 1 m and according to Thom (1975) for vegetation cover higher than 1 m. The lowest value of z0m is 0.005, which is typical value for agricultural bare soils (Allen et al. 2007)

Parameters
  • h_eff (numpy.ndarray) – Effective vegetation cover height (m)

  • LAI (numpy.ndarray) – Leaf Area Index

Returns

Aerodynamic roughness of the surface for momentum transfer (m)

Return type

numpy.ndarray

References

Allen, R.G., Tasumi, M., Trezza, R., 2007. Satellite-Based Energy Balance for Mapping Evapotranspiration with Internalized Calibration (METRIC)—Model. J. Irrig. Drain Eng. 133, 380–394. https://doi.org/10.1061/(ASCE)0733-9437(2007)133:4(380)

Tasumi, M., 2003. Progress in Operational Estimation of Regional Evapotranspiration Using Satellite Imagery (Ph.D. Thesis). University of Idaho, Moscow, Idaho.

Thom, A.S., 1975. Momentum, mass and heat exchange of plant communities, in: Monteith, J.L. (Ed.), Vegetation and the Atmosphere, Vol. 1 Principles. Academic Press, London, pp. 57–110.

static zeroPlaneDis(h_eff)[source]

Zero plane displacement (m) calculated according to Thom (1975).

Parameters

h_eff (numpy.ndarray) – Effective vegetation cover height (m)

Returns

Zero plane displacement (m)

Return type

numpy.ndarray

References

Thom, A.S., 1975. Momentum, mass and heat exchange of plant communities, in: Monteith, J.L. (Ed.), Vegetation and the Atmosphere, Vol. 1 Principles. Academic Press, London, pp. 57–110.