Articles | Volume 20, issue 2
https://doi.org/10.5194/hess-20-589-2016
© 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-20-589-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
03 Feb 2016
Research article |
| 03 Feb 2016
A scaling approach to Budyko's framework and the complementary relationship of evapotranspiration in humid environments: case study of the Amazon River basin
A. M. Carmona
CORRESPONDING AUTHOR
Department of Geosciences and Environment, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia
G. Poveda
Department of Geosciences and Environment, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia
M. Sivapalan
Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA
Department of Geography and Geographic Information Science, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA
S. M. Vallejo-Bernal
Department of Geosciences and Environment, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia
E. Bustamante
Department of Mathematics, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia
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Cited
25 citations as recorded by crossref.
- Changing the retention properties of catchments and their influence on runoff under climate change H. Yang et al. 10.1088/1748-9326/aadd32
- Application of Budyko framework to irrigation districts in China under various climatic conditions H. Chen et al. 10.1002/hyp.14542
- Large‐Scale Controls of the Surface Water Balance Over Land: Insights From a Systematic Review and Meta‐Analysis R. Padrón et al. 10.1002/2017WR021215
- Different Influences of Vegetation Greening on Regional Water-Energy Balance under Different Climatic Conditions D. Zhang et al. 10.3390/f9070412
- Atmosphere-Land Bridge between the Pacific and Tropical North Atlantic SST’s through the Amazon River basin during the 2005 and 2010 droughts A. Builes-Jaramillo et al. 10.1063/1.5020502
- A novel evapotranspiration downscaling approach based on dynamic sensitive parameters and deep learning in the grassland lacking historical measurements M. Li et al. 10.1016/j.ecolind.2025.113839
- Estimación del balance hídrico de la región Pacífica Colombiana M. Velásquez Restrepo & G. Poveda Jaramillo 10.15446/dyna.v86n208.73587
- Conjoint Analysis of Surface and Atmospheric Water Balances in the Andes‐Amazon System A. Builes‐Jaramillo & G. Poveda 10.1029/2017WR021338
- Uncertainty of runoff sensitivity to climate change in the Amazon River basin A. Carmona et al. 10.1111/nyas.14515
- Changes of the aridity index in Europe from 1950 to 2019 Z. Bešt́áková et al. 10.1007/s00704-022-04266-3
- Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. 10.3390/w14203315
- Matching the Budyko functions with the complementary evaporation relationship: consequences for the drying power of the air and the Priestley–Taylor coefficient J. Lhomme & R. Moussa 10.5194/hess-20-4857-2016
- Variability of soil moisture proxies and hot days across the climate regimes of Australia A. Holmes et al. 10.1002/2017GL073793
- Landscape configuration mediates hydrology and nonpoint source pollution under climate change and agricultural expansion L. Li et al. 10.1016/j.ecolind.2021.107959
- A Framework for Validation of Remotely Sensed Precipitation and Evapotranspiration Based on the Budyko Hypothesis A. Koppa & M. Gebremichael 10.1002/2017WR020593
- Assessing impacts of climate change and human activities on the abnormal correlation between actual evaporation and atmospheric evaporation demands in southeastern China H. Bai et al. 10.1016/j.scs.2020.102075
- The Predictability of Annual Evapotranspiration and Runoff in Humid and Nonhumid Catchments over China: Comparison and Quantification T. Wang et al. 10.1175/JHM-D-17-0165.1
- Using the Budyko Framework for Calibrating a Global Hydrological Model P. Greve et al. 10.1029/2019WR026280
- Spatial Differentiation of the Maximum River Runoff Synchronicity in the Warta River Catchment, Poland A. Perz et al. 10.3390/w12061782
- Scaling properties reveal regulation of river flows in the Amazon through a “forest reservoir” J. Salazar et al. 10.5194/hess-22-1735-2018
- 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
- Large scale spatially explicit modeling of blue and green water dynamics in a temperate mid-latitude basin L. Du et al. 10.1016/j.jhydrol.2018.02.071
- Relation of El Niño and La Niña phenomena to precipitation, evapotranspiration and temperature in the Amazon basin M. Moura et al. 10.1016/j.scitotenv.2018.09.242
- Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. 10.5194/hess-26-5955-2022
- A framework for disaggregating remote-sensing cropland into rainfed and irrigated classes at continental scale A. Owusu et al. 10.1016/j.jag.2023.103607
25 citations as recorded by crossref.
- Changing the retention properties of catchments and their influence on runoff under climate change H. Yang et al. 10.1088/1748-9326/aadd32
- Application of Budyko framework to irrigation districts in China under various climatic conditions H. Chen et al. 10.1002/hyp.14542
- Large‐Scale Controls of the Surface Water Balance Over Land: Insights From a Systematic Review and Meta‐Analysis R. Padrón et al. 10.1002/2017WR021215
- Different Influences of Vegetation Greening on Regional Water-Energy Balance under Different Climatic Conditions D. Zhang et al. 10.3390/f9070412
- Atmosphere-Land Bridge between the Pacific and Tropical North Atlantic SST’s through the Amazon River basin during the 2005 and 2010 droughts A. Builes-Jaramillo et al. 10.1063/1.5020502
- A novel evapotranspiration downscaling approach based on dynamic sensitive parameters and deep learning in the grassland lacking historical measurements M. Li et al. 10.1016/j.ecolind.2025.113839
- Estimación del balance hídrico de la región Pacífica Colombiana M. Velásquez Restrepo & G. Poveda Jaramillo 10.15446/dyna.v86n208.73587
- Conjoint Analysis of Surface and Atmospheric Water Balances in the Andes‐Amazon System A. Builes‐Jaramillo & G. Poveda 10.1029/2017WR021338
- Uncertainty of runoff sensitivity to climate change in the Amazon River basin A. Carmona et al. 10.1111/nyas.14515
- Changes of the aridity index in Europe from 1950 to 2019 Z. Bešt́áková et al. 10.1007/s00704-022-04266-3
- Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances F. Paz Pellat et al. 10.3390/w14203315
- Matching the Budyko functions with the complementary evaporation relationship: consequences for the drying power of the air and the Priestley–Taylor coefficient J. Lhomme & R. Moussa 10.5194/hess-20-4857-2016
- Variability of soil moisture proxies and hot days across the climate regimes of Australia A. Holmes et al. 10.1002/2017GL073793
- Landscape configuration mediates hydrology and nonpoint source pollution under climate change and agricultural expansion L. Li et al. 10.1016/j.ecolind.2021.107959
- A Framework for Validation of Remotely Sensed Precipitation and Evapotranspiration Based on the Budyko Hypothesis A. Koppa & M. Gebremichael 10.1002/2017WR020593
- Assessing impacts of climate change and human activities on the abnormal correlation between actual evaporation and atmospheric evaporation demands in southeastern China H. Bai et al. 10.1016/j.scs.2020.102075
- The Predictability of Annual Evapotranspiration and Runoff in Humid and Nonhumid Catchments over China: Comparison and Quantification T. Wang et al. 10.1175/JHM-D-17-0165.1
- Using the Budyko Framework for Calibrating a Global Hydrological Model P. Greve et al. 10.1029/2019WR026280
- Spatial Differentiation of the Maximum River Runoff Synchronicity in the Warta River Catchment, Poland A. Perz et al. 10.3390/w12061782
- Scaling properties reveal regulation of river flows in the Amazon through a “forest reservoir” J. Salazar et al. 10.5194/hess-22-1735-2018
- 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
- Large scale spatially explicit modeling of blue and green water dynamics in a temperate mid-latitude basin L. Du et al. 10.1016/j.jhydrol.2018.02.071
- Relation of El Niño and La Niña phenomena to precipitation, evapotranspiration and temperature in the Amazon basin M. Moura et al. 10.1016/j.scitotenv.2018.09.242
- Linking the complementary evaporation relationship with the Budyko framework for ungauged areas in Australia D. Kim et al. 10.5194/hess-26-5955-2022
- A framework for disaggregating remote-sensing cropland into rainfed and irrigated classes at continental scale A. Owusu et al. 10.1016/j.jag.2023.103607
Saved (preprint)
Latest update: 21 Aug 2025
Short summary
We study a 3-D generalization of Budyko's framework that captures the interdependence among actual and potential evapotranspiration and precipitation. We demonstrate that Budyko-type equations present an inconsistency in humid environments, which we overcome by proposing a physically consistent power law that incorporates the complementary relationship of evapotranspiration into the Budyko curve. Evidence of space-time symmetry and signs of co-evolution of catchments are also found in Amazonia.
We study a 3-D generalization of Budyko's framework that captures the interdependence among...
