Articles | Volume 24, issue 5
https://doi.org/10.5194/hess-24-2269-2020
https://doi.org/10.5194/hess-24-2269-2020
Review article
 | 
08 May 2020
Review article |  | 08 May 2020

A review of the complementary principle of evaporation: from the original linear relationship to generalized nonlinear functions

Songjun Han and Fuqiang Tian

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Cited articles

Ai, Z., Wang, Q., Yang, Y., Manevski, K., Zhao, X., and Eer, D.: Estimation of land-surface evaporation at four forest sites across Japan with the new nonlinear complementary method, Scient. Rep., 7, 17793, https://doi.org/10.1038/s41598-017-17473-0, 2017. 
Ali, M. F. and Mawdsley, J. A.: Comparison of two recent models for estimating actual evapotranspiration using only recorded data, J. Hydrol., 93, 257–276, 1987. 
Allen, R. G., Pereira, L. S., Raes, D., and Smith, M.: Crop evapotranspiration: Guidelines for computing crop water requirements. FAO irrigation and drainage paper No. 56, FAO irrigation and drainage paper No. 56, Food and Agricultural Organization of the UN, Rome, Italy, 1998. 
Aminzadeh, M., Roderick, M. L., and Or, D.: A generalized complementary relationship between actual and potential evaporation defined by a reference surface temperature, Water Resour. Res., 52, 385–406, https://doi.org/10.1002/2015wr017969, 2016. 
Anayah, F. M. and Kaluarachchi, J. J.: Improving the complementary methods to estimate evapotranspiration under diverse climatic and physical conditions, Hydrol. Earth Syst. Sci., 18, 2049–2064, https://doi.org/10.5194/hess-18-2049-2014, 2014. 
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.