2014
DOI: 10.1002/2014wr015451
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An error analysis of the Budyko hypothesis for assessing the contribution of climate change to runoff

Abstract: Many previous studies have evaluated the hydrologic response to climate change using the firstorder approximation (first-order Taylor expansion) of the Mezentsev-Choudhury-Yang equation (formulating the Budyko hypothesis), which has a parameter n representing catchment characteristics. However, no studies have paid attention to the error due to the first-order approximation. This study therefore estimates this error to improve the theoretical framework for assessing the contribution of climate change to runoff… Show more

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Cited by 85 publications
(49 citation statements)
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“…Then, a group of scholars used elasticity analysis in climate sensitivity analyses during the 1990s (Schaake and Waggoner, ; Kuhnel et al, ; Dooge, ; Dooge et al, ). The elastic coefficients represent the degree to which the response rate varies between multiple elements in a multi‐variable problem (Yang et al, ; Brikowski, ). Multiple regression models can be used to evaluate elasticity coefficients of multiple factors in response to addition of a single additional factor (Ma et al, ).…”
Section: Methodssupporting
confidence: 92%
“…Then, a group of scholars used elasticity analysis in climate sensitivity analyses during the 1990s (Schaake and Waggoner, ; Kuhnel et al, ; Dooge, ; Dooge et al, ). The elastic coefficients represent the degree to which the response rate varies between multiple elements in a multi‐variable problem (Yang et al, ; Brikowski, ). Multiple regression models can be used to evaluate elasticity coefficients of multiple factors in response to addition of a single additional factor (Ma et al, ).…”
Section: Methodssupporting
confidence: 92%
“…(16) for the third order is equal to 3 % of the second order according to Yang et al (2014b). The relative error (RE) of attribution method to investigate the contribution of snow ratio change is estimated as…”
Section: Error Analysis Of Attribution Methodsmentioning
confidence: 99%
“…Many previous studies with the Budyko framework have separated a time series into two periods to estimate changes in hydrologic conditions between the two periods, either with observations (Jiang et al, 2015;Liang and Liu, 2014;Liu and McVicar, 2012;Xu et al, 2014;Yang H. et al, 2014;Zhang X. et al, 2014) or using modelled data . Most of these studies have been applied at single basins (Donohue et al, 2011;Jiang et al, 2015;Liang and Liu, 2014;Liu and McVicar, 2012;Roderick and Farquhar, 2011;Xu et al, 2014;Zhang X. et al, 2014) or multiple basins within a single region: USA (Chen et al, 2013;Wang and Hejazi, 2011;Carmona et al, 2014;Istanbulluoglu et al, 2012), Australia (Donohue et al, 2010(Donohue et al, , 2012Teng et al, 2012), China (Yang D. et al, 2007(Yang D. et al, , 2009Yang and Yang, 2011;Yang H. et al, 2014;Cong et al, 2015;Xiong and Guo, 2012;Yu et al, 2013) and Europe (Velde et al, 2014;Oudin et al, 2008).…”
Section: Introductionmentioning
confidence: 99%
“…Most of these studies have been applied at single basins (Donohue et al, 2011;Jiang et al, 2015;Liang and Liu, 2014;Liu and McVicar, 2012;Roderick and Farquhar, 2011;Xu et al, 2014;Zhang X. et al, 2014) or multiple basins within a single region: USA (Chen et al, 2013;Wang and Hejazi, 2011;Carmona et al, 2014;Istanbulluoglu et al, 2012), Australia (Donohue et al, 2010(Donohue et al, , 2012Teng et al, 2012), China (Yang D. et al, 2007(Yang D. et al, , 2009Yang and Yang, 2011;Yang H. et al, 2014;Cong et al, 2015;Xiong and Guo, 2012;Yu et al, 2013) and Europe (Velde et al, 2014;Oudin et al, 2008). The global scale studies have also been conducted but mainly focusing on the development of the Budyko functional forms (Koster and Suarez, 1999;Zhang L. et al, 2001;Arora, 2002) and their parameters (Li et al, 2013;Williams et al, 2012).…”
Section: Introductionmentioning
confidence: 99%