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.
Research article
| 
09 Dec 2016
Research article |
| 09 Dec 2016
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
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Cited
15 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. https://doi.org/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 https://doi.org/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. https://doi.org/10.3390/rs15092234
- Simulation of Actual Evapotranspiration and Its Multiple-Timescale Attribution Analysis in the Upper Reaches of the Jinsha River, China J. Wang & G. Ji https://doi.org/10.3390/w17233350
- Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. https://doi.org/10.3390/w14203315
- Trends in the Frequency of Water and Heat Stress in Mid-Latitude North America since 1980 A. Tashie https://doi.org/10.3390/meteorology1020009
- Global climate-driven trade-offs between the water retention and cooling benefits of urban greening M. Cuthbert et al. https://doi.org/10.1038/s41467-022-28160-8
- Predicting the flocculation kinetics of fine particles in a turbulent flow using a Budyko-type model Z. Zhu https://doi.org/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. https://doi.org/10.1016/j.jhydrol.2019.124496
- Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. https://doi.org/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. https://doi.org/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 https://doi.org/10.1029/2021WR030838
- Exploring the relationships between warm-season precipitation, potential evaporation, and “apparent” potential evaporation at site scale X. Chen & S. Buchberger https://doi.org/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 https://doi.org/10.1029/2021WR029729
- Estimates of the Priestley-Taylor coefficient based on FLUXNET data at multiple spatiotemporal scales J. Wang et al. https://doi.org/10.1016/j.jhydrol.2024.130636
15 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. https://doi.org/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 https://doi.org/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. https://doi.org/10.3390/rs15092234
- Simulation of Actual Evapotranspiration and Its Multiple-Timescale Attribution Analysis in the Upper Reaches of the Jinsha River, China J. Wang & G. Ji https://doi.org/10.3390/w17233350
- Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. https://doi.org/10.3390/w14203315
- Trends in the Frequency of Water and Heat Stress in Mid-Latitude North America since 1980 A. Tashie https://doi.org/10.3390/meteorology1020009
- Global climate-driven trade-offs between the water retention and cooling benefits of urban greening M. Cuthbert et al. https://doi.org/10.1038/s41467-022-28160-8
- Predicting the flocculation kinetics of fine particles in a turbulent flow using a Budyko-type model Z. Zhu https://doi.org/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. https://doi.org/10.1016/j.jhydrol.2019.124496
- Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. https://doi.org/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. https://doi.org/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 https://doi.org/10.1029/2021WR030838
- Exploring the relationships between warm-season precipitation, potential evaporation, and “apparent” potential evaporation at site scale X. Chen & S. Buchberger https://doi.org/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 https://doi.org/10.1029/2021WR029729
- Estimates of the Priestley-Taylor coefficient based on FLUXNET data at multiple spatiotemporal scales J. Wang et al. https://doi.org/10.1016/j.jhydrol.2024.130636
Saved (final revised paper)
Latest update: 03 Jun 2026
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...
