期刊
GEOPHYSICAL RESEARCH LETTERS
卷 42, 期 6, 页码 1781-1790出版社
AMER GEOPHYSICAL UNION
DOI: 10.1002/2015GL063511
关键词
Budyko functions; complementary relationship; generating function
资金
- National Natural Science Foundation of China [91125018]
- National Key Science and Technology Project Fund from the Ministry of Science and Technology (MOST) during the Twelfth 5 year Project [2013BAB05B03]
- Research and Development Special Fund for Public Welfare Industry of the Ministry of Water Research in China [201301081]
The Budyko hypothesis states that the ratio of the actual evapotranspiration over precipitation (E/P) is fundamentally related to the ratio of the potential evapotranspiration over precipitation (E-0/P). A number of Budyko functions have been proposed to describe such a relationship between E-0/P and E/P. There is, however, no simple method to generate Budyko functions that meet the water and energy constraints. This study showed analytically that for any Budyko function, the sum of elasticity of evapotranspiration with respect to potential evapotranspiration and that with respect to precipitation is equal to unity. This complementary relationship for sensitivity of evapotranspiration has important implications for evaluating hydrologic impact of change in climate and/or catchment characteristics. More importantly, this study found a function that is monotonically increasing with simple limiting properties. This function can be used to generate numerous valid Budyko functions and can also be used to test the validity of the existing Budyko functions.
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