A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation
A comprehensive assessment of the partitioning of precipitation (<i>P</i>) into evapotranspiration (<i>E</i>) and runoff (<i>Q</i>) is of major importance for a wide range of socio-economic sectors. For climatological averages, the Budyko framework provides a simp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2016-06-01
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| Series: | Hydrology and Earth System Sciences |
| Online Access: | http://www.hydrol-earth-syst-sci.net/20/2195/2016/hess-20-2195-2016.pdf |
| _version_ | 1831841698280374272 |
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| author | P. Greve L. Gudmundsson B. Orlowsky S. I. Seneviratne |
| author_facet | P. Greve L. Gudmundsson B. Orlowsky S. I. Seneviratne |
| author_sort | P. Greve |
| collection | DOAJ |
| description | A comprehensive assessment of the partitioning of precipitation (<i>P</i>) into
evapotranspiration (<i>E</i>) and runoff (<i>Q</i>) is of major importance for a wide
range of socio-economic sectors. For climatological averages, the Budyko
framework provides a simple first-order relationship to estimate water
availability represented by the ratio <i>E</i> / <i>P</i> as a function of the
aridity index (<i>E</i><sub>p</sub>∕<i>P</i>, with <i>E</i><sub>p</sub> denoting potential
evaporation). However, the Budyko framework is limited to steady-state
conditions, being a result of assuming negligible storage change in the
land–water balance. Processes leading to changes in the terrestrial water storage
at any spatial and/or temporal scale are hence not represented. Here we
propose an analytically derived modification of the Budyko framework
including a new parameter explicitly representing additional water available
to evapotranspiration besides instantaneous precipitation. The modified
framework is comprehensively analyzed, showing that the additional parameter
leads to a rotation of the original water supply limit. We further evaluate
the new formulation in an example application at mean seasonal timescales,
showing that the extended framework is able to represent conditions in which
monthly to annual evapotranspiration exceeds monthly to annual precipitation. |
| first_indexed | 2024-12-23T06:34:33Z |
| format | Article |
| id | doaj.art-a9e6bdc9cd894dc09ae1cfe6f0a3aaa4 |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-12-23T06:34:33Z |
| publishDate | 2016-06-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-a9e6bdc9cd894dc09ae1cfe6f0a3aaa42022-12-21T17:56:51ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382016-06-012062195220510.5194/hess-20-2195-2016A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitationP. Greve0L. Gudmundsson1B. Orlowsky2S. I. Seneviratne3Institute for Atmospheric and Climate Science, ETH Zurich, Zurich, SwitzerlandInstitute for Atmospheric and Climate Science, ETH Zurich, Zurich, SwitzerlandInstitute for Atmospheric and Climate Science, ETH Zurich, Zurich, SwitzerlandInstitute for Atmospheric and Climate Science, ETH Zurich, Zurich, SwitzerlandA comprehensive assessment of the partitioning of precipitation (<i>P</i>) into evapotranspiration (<i>E</i>) and runoff (<i>Q</i>) is of major importance for a wide range of socio-economic sectors. For climatological averages, the Budyko framework provides a simple first-order relationship to estimate water availability represented by the ratio <i>E</i> / <i>P</i> as a function of the aridity index (<i>E</i><sub>p</sub>∕<i>P</i>, with <i>E</i><sub>p</sub> denoting potential evaporation). However, the Budyko framework is limited to steady-state conditions, being a result of assuming negligible storage change in the land–water balance. Processes leading to changes in the terrestrial water storage at any spatial and/or temporal scale are hence not represented. Here we propose an analytically derived modification of the Budyko framework including a new parameter explicitly representing additional water available to evapotranspiration besides instantaneous precipitation. The modified framework is comprehensively analyzed, showing that the additional parameter leads to a rotation of the original water supply limit. We further evaluate the new formulation in an example application at mean seasonal timescales, showing that the extended framework is able to represent conditions in which monthly to annual evapotranspiration exceeds monthly to annual precipitation.http://www.hydrol-earth-syst-sci.net/20/2195/2016/hess-20-2195-2016.pdf |
| spellingShingle | P. Greve L. Gudmundsson B. Orlowsky S. I. Seneviratne A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation Hydrology and Earth System Sciences |
| title | A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| title_full | A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| title_fullStr | A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| title_full_unstemmed | A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| title_short | A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| title_sort | two parameter budyko function to represent conditions under which evapotranspiration exceeds precipitation |
| url | http://www.hydrol-earth-syst-sci.net/20/2195/2016/hess-20-2195-2016.pdf |
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