Articles | Volume 20, issue 12 
            
                
                    
            
            
            https://doi.org/10.5194/hess-20-4857-2016
                    © Author(s) 2016. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-20-4857-2016
                    © Author(s) 2016. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
Matching the Budyko functions with the complementary evaporation relationship: consequences for the drying power of the air and the Priestley–Taylor coefficient
Jean-Paul Lhomme
                                            IRD, UMR LISAH, 2 Place Viala, 34060 Montpellier, France
                                        
                                    Roger Moussa
CORRESPONDING AUTHOR
                                            
                                    
                                            INRA, UMR LISAH, 2 Place Viala, 34060 Montpellier, France
                                        
                                    Viewed
                        
                            Total article views: 2,877 (including HTML, PDF, and XML)
                        
                            
                                
                                
                            
                                
                                
                            
                        
                        
                            Cumulative views and downloads 
                                         (calculated since 23 May 2016)
                        
                        
                            
                                
                            
                    
        
                    
                    | HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 1,814 | 958 | 105 | 2,877 | 503 | 125 | 158 | 
- HTML: 1,814
 - PDF: 958
 - XML: 105
 - Total: 2,877
 - Supplement: 503
 - BibTeX: 125
 - EndNote: 158
 
                        
                            Total article views: 2,247 (including HTML, PDF, and XML)
                        
                            
                                
                                
                            
                                
                                
                            
                        
                        
                            Cumulative views and downloads 
                                         (calculated since 09 Dec 2016)
                        
                        
                            
                                
                            
                    
                    
                    | HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 1,453 | 711 | 83 | 2,247 | 266 | 101 | 135 | 
- HTML: 1,453
 - PDF: 711
 - XML: 83
 - Total: 2,247
 - Supplement: 266
 - BibTeX: 101
 - EndNote: 135
 
                        
                            Total article views: 630 (including HTML, PDF, and XML)
                        
                            
                                
                                
                            
                                
                                
                            
                        
                        
                            Cumulative views and downloads 
                                         (calculated since 23 May 2016)
                        
                        
                            
                                
                            
                    
        
                
            | HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 361 | 247 | 22 | 630 | 237 | 24 | 23 | 
- HTML: 361
 - PDF: 247
 - XML: 22
 - Total: 630
 - Supplement: 237
 - BibTeX: 24
 - EndNote: 23
 
Cited
14 citations as recorded by crossref.
- Applicability of the complementary relationship of evapotranspiration for heterogeneous vegetation cover at boundary and plot scales C. Fu et al. 10.1016/j.ejrh.2024.102117
 - Analysis of runoff variation and driving mechanism in Huangfuchuan River Basin in the middle reaches of the Yellow River, China X. Huang & L. Qiu 10.1007/s13201-022-01753-w
 - A Hybrid Framework for Simulating Actual Evapotranspiration in Data-Deficient Areas: A Case Study of the Inner Mongolia Section of the Yellow River Basin X. Jiang et al. 10.3390/rs15092234
 - Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. 10.3390/w14203315
 - Trends in the Frequency of Water and Heat Stress in Mid-Latitude North America since 1980 A. Tashie 10.3390/meteorology1020009
 - Global climate-driven trade-offs between the water retention and cooling benefits of urban greening M. Cuthbert et al. 10.1038/s41467-022-28160-8
 - Predicting the flocculation kinetics of fine particles in a turbulent flow using a Budyko-type model Z. Zhu 10.1007/s11356-022-21518-x
 - New perspective about application of extended Budyko formula in arid irrigation district with shallow groundwater H. Chen et al. 10.1016/j.jhydrol.2019.124496
 - Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. 10.5194/hess-26-5955-2022
 - Improvement in the blending the evaporation precipitation ratio with complementary principle function for daily evaporation estimation Q. Wu et al. 10.1016/j.jhydrol.2024.131170
 - Revisiting a Two‐Parameter Budyko Equation With the Complementary Evaporation Principle for Proper Consideration of Surface Energy Balance D. Kim & J. Chun 10.1029/2021WR030838
 - Exploring the relationships between warm-season precipitation, potential evaporation, and “apparent” potential evaporation at site scale X. Chen & S. Buchberger 10.5194/hess-22-4535-2018
 - Blending the Evaporation Precipitation Ratio With the Complementary Principle Function for the Prediction of Evaporation L. Zhang & W. Brutsaert 10.1029/2021WR029729
 - Estimates of the Priestley-Taylor coefficient based on FLUXNET data at multiple spatiotemporal scales J. Wang et al. 10.1016/j.jhydrol.2024.130636
 
14 citations as recorded by crossref.
- Applicability of the complementary relationship of evapotranspiration for heterogeneous vegetation cover at boundary and plot scales C. Fu et al. 10.1016/j.ejrh.2024.102117
 - Analysis of runoff variation and driving mechanism in Huangfuchuan River Basin in the middle reaches of the Yellow River, China X. Huang & L. Qiu 10.1007/s13201-022-01753-w
 - A Hybrid Framework for Simulating Actual Evapotranspiration in Data-Deficient Areas: A Case Study of the Inner Mongolia Section of the Yellow River Basin X. Jiang et al. 10.3390/rs15092234
 - Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. 10.3390/w14203315
 - Trends in the Frequency of Water and Heat Stress in Mid-Latitude North America since 1980 A. Tashie 10.3390/meteorology1020009
 - Global climate-driven trade-offs between the water retention and cooling benefits of urban greening M. Cuthbert et al. 10.1038/s41467-022-28160-8
 - Predicting the flocculation kinetics of fine particles in a turbulent flow using a Budyko-type model Z. Zhu 10.1007/s11356-022-21518-x
 - New perspective about application of extended Budyko formula in arid irrigation district with shallow groundwater H. Chen et al. 10.1016/j.jhydrol.2019.124496
 - Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. 10.5194/hess-26-5955-2022
 - Improvement in the blending the evaporation precipitation ratio with complementary principle function for daily evaporation estimation Q. Wu et al. 10.1016/j.jhydrol.2024.131170
 - Revisiting a Two‐Parameter Budyko Equation With the Complementary Evaporation Principle for Proper Consideration of Surface Energy Balance D. Kim & J. Chun 10.1029/2021WR030838
 - Exploring the relationships between warm-season precipitation, potential evaporation, and “apparent” potential evaporation at site scale X. Chen & S. Buchberger 10.5194/hess-22-4535-2018
 - Blending the Evaporation Precipitation Ratio With the Complementary Principle Function for the Prediction of Evaporation L. Zhang & W. Brutsaert 10.1029/2021WR029729
 - Estimates of the Priestley-Taylor coefficient based on FLUXNET data at multiple spatiotemporal scales J. Wang et al. 10.1016/j.jhydrol.2024.130636
 
Latest update: 03 Nov 2025
Short summary
            The Budyko functions are matched with the complementary evaporation relationship. We show that there is a functional dependence between the Budyko functions and the drying power of the air. Examining the case where potential evaporation is calculated by means of a Priestley–Taylor type equation with a varying coefficient, we show that this coefficient should have a specified value as a function of the Budyko shape parameter and the aridity index.
            The Budyko functions are matched with the complementary evaporation relationship. We show that...