Articles | Volume 24, issue 5
https://doi.org/10.5194/hess-24-2269-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-24-2269-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
A review of the complementary principle of evaporation: from the original linear relationship to generalized nonlinear functions
Songjun Han
CORRESPONDING AUTHOR
State Key Laboratory of Simulation and Regulation of Water Cycle in
River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
Fuqiang Tian
State Key Laboratory of Hydro-science and Engineering, Tsinghua
University, Beijing 100084, China
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49 citations as recorded by crossref.
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- Power‐Function Expansion of the Polynomial Complementary Relationship of Evaporation J. Szilagyi et al. 10.1029/2022WR033095
- Investigating Climate Change Effects on Evapotranspiration and Groundwater Recharge of the Nile Delta Aquifer, Egypt M. Eltarabily et al. 10.3390/w15030572
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- Sigmoid Generalized Complementary Equation for Evaporation Over Wet Surfaces: A Nonlinear Modification of the Priestley‐Taylor Equation S. Han et al. 10.1029/2020WR028737
- Expected Changes in Evaporation in the Taiga Zone of European Russia in the XXI Century E. Nadyozhina et al. 10.1134/S0097807823700033
- Complementary Relationship for evaporation performance at different spatial and temporal scales R. Crago et al. 10.1016/j.jhydrol.2022.127575
- A Graphical Interpretation of the Rescaled Complementary Relationship for Evapotranspiration R. Crago & R. Qualls 10.1029/2020WR028299
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- Comment on: “A review of the complementary principle of evaporation: from the original linear relationship to generalized nonlinear functions” by Han and Tian (2020) R. Crago et al. 10.5194/hess-25-63-2021
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- Abrupt Change of the Generalized Complementary Relationship of Evaporation Over Irrigated Double Cropping North China Plain With East Asian Monsoon S. Han et al. 10.1029/2022WR033902
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- Improved global evapotranspiration estimates using proportionality hypothesis-based water balance constraints J. Fu et al. 10.1016/j.rse.2022.113140
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- Connotation analysis of parameters in the generalized nonlinear advection aridity model H. Zhou et al. 10.1016/j.agrformet.2021.108343
- Sensitivity Analysis of the Maximum Entropy Production Method to Model Evaporation in Boreal and Temperate Forests P. Isabelle et al. 10.1029/2020GL091919
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- On the thermodynamic foundations of the complementary relationship of evaporation J. Szilagyi 10.1016/j.jhydrol.2020.125916
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- Shifting from homogeneous to heterogeneous surfaces in estimating terrestrial evapotranspiration: Review and perspectives Y. Liu et al. 10.1007/s11430-020-9834-y
- Evaluating the Drought Code for lowland taiga of Interior Alaska using eddy covariance measurements E. Miller et al. 10.1071/WF22165
- Application of a multiple model integration framework for mapping evapotranspiration with high spatial–temporal resolution in the Haihe River Basin, China Y. Chen et al. 10.1016/j.ecolind.2022.109661
- High Spatiotemporal Estimation of Reservoir Evaporation Water Loss by Integrating Remote-Sensing Data and the Generalized Complementary Relationship Y. Li et al. 10.3390/rs16081320
49 citations as recorded by crossref.
- Long‐term mean changes in actual evapotranspiration over China under climate warming and the attribution analysis within the Budyko framework T. Su et al. 10.1002/joc.7293
- Optimization of Linear Algebra Core Function Framework on Multicore Processors Z. Fang 10.2478/amns.2022.2.0148
- Calibration‐Free Complementary Relationship Estimates Terrestrial Evapotranspiration Globally N. Ma et al. 10.1029/2021WR029691
- Estimation of daily evapotranspiration in gully area scrub ecosystems on Loess Plateau of China based on multisource observation data F. Guo et al. 10.1016/j.ecolind.2023.110671
- Wet-environment Evapotranspiration and Precipitation Standardized Index (WEPSI) for drought assessment and monitoring A. Khoshnazar et al. 10.2166/nh.2022.062
- At which timescale does the complementary principle perform best in evaporation estimation? L. Wang et al. 10.5194/hess-25-375-2021
- Should two-parameter generalized complementary models for evaporation be simplified to single-parameter? A pairwise evaluation over grassland and forest sites S. Han et al. 10.1016/j.agrformet.2024.110209
- Contrasting Land and Atmospheric Controls on the Generalized Complementary Relationship of Evaporation Over Grasslands and Forests S. Han et al. 10.1029/2023WR035501
- Comparison of formulating apparent potential evaporation with pan measurements and Penman methods L. Wang et al. 10.1016/j.jhydrol.2020.125816
- Estimating land evapotranspiration from potential evapotranspiration constrained by soil water at daily scale Z. Liu 10.1016/j.scitotenv.2022.155327
- Power‐Function Expansion of the Polynomial Complementary Relationship of Evaporation J. Szilagyi et al. 10.1029/2022WR033095
- Investigating Climate Change Effects on Evapotranspiration and Groundwater Recharge of the Nile Delta Aquifer, Egypt M. Eltarabily et al. 10.3390/w15030572
- The Evaporation on the Tibetan Plateau Stops Increasing in the Recent Two Decades L. Wang et al. 10.1029/2022JD037377
- Sigmoid Generalized Complementary Equation for Evaporation Over Wet Surfaces: A Nonlinear Modification of the Priestley‐Taylor Equation S. Han et al. 10.1029/2020WR028737
- Expected Changes in Evaporation in the Taiga Zone of European Russia in the XXI Century E. Nadyozhina et al. 10.1134/S0097807823700033
- Complementary Relationship for evaporation performance at different spatial and temporal scales R. Crago et al. 10.1016/j.jhydrol.2022.127575
- A Graphical Interpretation of the Rescaled Complementary Relationship for Evapotranspiration R. Crago & R. Qualls 10.1029/2020WR028299
- Combining the FAO-56 method and the complementary principle to partition the evapotranspiration of typical plantations and grasslands in the Chinese Loess Plateau C. Fu et al. 10.1016/j.agwat.2024.108734
- Comment on: “A review of the complementary principle of evaporation: from the original linear relationship to generalized nonlinear functions” by Han and Tian (2020) R. Crago et al. 10.5194/hess-25-63-2021
- What is the Priestley–Taylor wet-surface evaporation parameter? Testing four hypotheses R. Crago et al. 10.5194/hess-27-3205-2023
- Constraining the power-function complementary relationship with a steady-state Budyko equation for predicting terrestrial evapotranspiration globally D. Kim et al. 10.1016/j.agrformet.2023.109808
- Potential Evaporation and the Complementary Relationship Z. Tu et al. 10.1029/2022WR033763
- 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
- Trade‐Offs Between Spatial and Temporal Accuracy of Complementary Relationship Models for Evaporation in an Ungauged Basin X. Zhang et al. 10.1029/2022WR034222
- Comparative evaluation of four actual evapotranspiration models over different ecosystems and climate zones in China M. Yuan et al. 10.2166/wcc.2024.724
- Hydraulic Responses of Railway Embankments Using Coupled Moisture-Heat Flow Modeling: Effects of Fill Materials and Climate Conditions H. Li et al. 10.1007/s40999-022-00797-y
- Simulation of Pan-Evaporation Using Penman and Hamon Equations and Artificial Intelligence Techniques A. Ghumman et al. 10.3390/w13060793
- Abrupt Change of the Generalized Complementary Relationship of Evaporation Over Irrigated Double Cropping North China Plain With East Asian Monsoon S. Han et al. 10.1029/2022WR033902
- Determination of the asymmetric parameter in complementary relations of evaporation in alpine grasslands of the Tibetan Plateau L. Wang et al. 10.1016/j.jhydrol.2021.127306
- Improved global evapotranspiration estimates using proportionality hypothesis-based water balance constraints J. Fu et al. 10.1016/j.rse.2022.113140
- Determinants of the Asymmetric Parameter in the Generalized Complementary Principle of Evaporation L. Wang et al. 10.1029/2019WR026570
- Closing the Feedback of Evapotranspiration on the Atmospheric Evaporation Demand Based on a Complementary Relationship T. Li et al. 10.3390/atmos13091431
- Evaluation of alternative two-source remote sensing models in partitioning of land evapotranspiration H. Chen et al. 10.1016/j.jhydrol.2021.126029
- Evaluating the complementary relationship to calculate evapotranspiration by using multiple models in a humid lowland region, Southeast China R. Yan & J. Gao 10.1016/j.agrformet.2021.108645
- Connotation analysis of parameters in the generalized nonlinear advection aridity model H. Zhou et al. 10.1016/j.agrformet.2021.108343
- Sensitivity Analysis of the Maximum Entropy Production Method to Model Evaporation in Boreal and Temperate Forests P. Isabelle et al. 10.1029/2020GL091919
- Combining the Generalized Complementary Relationship and the Modified Priestley-Taylor Equation to estimate and partition the evapotranspiration of typical plantations and grasslands in the Loess Plateau of China C. Fu et al. 10.1016/j.agwat.2023.108420
- Assessing the impact of urbanization on urban evapotranspiration and its components using a novel four-source energy balance model H. Chen et al. 10.1016/j.agrformet.2022.108853
- CAMELE: Collocation-Analyzed Multi-source Ensembled Land Evapotranspiration Data C. Li et al. 10.5194/essd-16-1811-2024
- On the thermodynamic foundations of the complementary relationship of evaporation J. Szilagyi 10.1016/j.jhydrol.2020.125916
- Investigating the ability of deep learning on actual evapotranspiration estimation in the scarcely observed region X. Wang et al. 10.1016/j.jhydrol.2022.127506
- Assessment of Different Complementary-Relationship-Based Models for Estimating Actual Terrestrial Evapotranspiration in the Frozen Ground Regions of the Qinghai-Tibet Plateau C. Shang et al. 10.3390/rs14092047
- Comparison of the Efficiencies of the Prognostic Generalized Complementary Functions on Evaporation Estimation L. Wang et al. 10.1029/2023JD038683
- Benchmarking large-scale evapotranspiration estimates: A perspective from a calibration-free complementary relationship approach and FLUXCOM N. Ma et al. 10.1016/j.jhydrol.2020.125221
- Derivation of an exponential complementary function with physical constraints for land surface evaporation estimation B. Gao & X. Xu 10.1016/j.jhydrol.2020.125623
- Shifting from homogeneous to heterogeneous surfaces in estimating terrestrial evapotranspiration: Review and perspectives Y. Liu et al. 10.1007/s11430-020-9834-y
- Evaluating the Drought Code for lowland taiga of Interior Alaska using eddy covariance measurements E. Miller et al. 10.1071/WF22165
- Application of a multiple model integration framework for mapping evapotranspiration with high spatial–temporal resolution in the Haihe River Basin, China Y. Chen et al. 10.1016/j.ecolind.2022.109661
- High Spatiotemporal Estimation of Reservoir Evaporation Water Loss by Integrating Remote-Sensing Data and the Generalized Complementary Relationship Y. Li et al. 10.3390/rs16081320
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Short summary
The complementary principle is an important methodology for estimating actual evaporation by using routinely observed meteorological variables. This review summaries its 56-year development, focusing on how related studies have shifted from adopting a symmetric linear complementary relationship to employing generalized nonlinear functions. We also compare the polynomial and sigmoid types of generalized complementary functions and discuss their future development.
The complementary principle is an important methodology for estimating actual evaporation by...