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 and Roger Moussa
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Revised manuscript under review for HESS
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Cited articles
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.
Bouchet, R.: Evapotranspiration réelle et potentielle, signification climatique, IAHS Publ., 62, 134–142, 1963 (in French).
Brutsaert, W.: A generalized complementary principle with physical constraints for land-surface evaporation, Water Resour. Res., 51, 8087–8093, https://doi.org/10.1002/2015WR017720, 2015.
Budyko, M. I.: Climate and life, Academic Press, Orlando, FL, 508 pp., 1974.
Carmona, A. M., Poveda, G., Sivapalan, M., Vallejo-Bernal, S. M., and Bustamante, E.: A scaling approach to Budyko's framework and the complementary relationship of evapotranspiration in humid environments: case study of the Amazon River basin, Hydrol. Earth Syst. Sci., 20, 589–603, https://doi.org/10.5194/hess-20-589-2016, 2016.
Choudhury, B. J.: Evaluation of an empirical equation for annual evaporation using field observations and results from a biophysical model, J. Hydrol., 216, 99–110, https://doi.org/10.1016/S0022-1694(98)00293-5, 1999.
Donohue, R. J., Roderick, M. L., and McVicar, T. R.: On the importance of including vegetation dynamics in Budyko's hydrological model, Hydrol. Earth Syst. Sci., 11, 983–995, https://doi.org/10.5194/hess-11-983-2007, 2007.
Du, C., Sun, F., Yu, J., Liu, X., and Chen, Y.: New interpretation of the role of water balance in an extended Budyko hypothesis in arid regions, Hydrol. Earth Syst. Sci., 20, 393–409, https://doi.org/10.5194/hess-20-393-2016, 2016.
Fu, B. P.: On the calculation of evaporation from land surface, Sci. Atmos. Sin., 5, 23–31, 1981 (in Chinese).
Gerrits, A. M. J., Savenije, H. H. G., Veling, E. J. M., and Pfister, L.: Analytical derivation of the Budyko curve based on rainfall characteristics and a simple evaporation model, Water Resour. Res., 45, W04403, https://doi.org/10.1029/2008WR007308, 2009.
Greve, P., Gudmundsson, L., Orlowsky, B., and Seneviratne, S. I.: A two-parameter Budyko function to represent conditions under which evapotranspiration exceeds precipitation, Hydrol. Earth Syst. Sci., 20, 2195–2205, https://doi.org/10.5194/hess-20-2195-2016, 2016.
Han, S., Hu, H., and Tian, F.: A nonlinear function approach for the normalized complementary relationship evaporation model, Hydrol. Process., 26, 3973–3981, https://doi.org/ 10.1002/hyp.8414, 2012.
Kahler, D. M. and Brutsaert, W.: Complementary relationship between daily evaporation in the environment and pan evaporation, Water Resour. Res., 42, W05413, https://doi.org/10.1029/2005WR004541, 2006.
Lebecherel, L., Andréassian, V., and Perrin, C.: On regionalizing the Turc–Mezentsev water balance formula, Water Resour. Res., 49, 7508–7517, https://doi.org/10.1002/2013WR013575, 2013.
Lhomme, J.-P.: Towards a rational definition of potential evaporation, Hydrol. Earth Syst. Sci., 1, 257–264, https://doi.org/10.5194/hess-1-257-1997, 1997a.
Lhomme, J.-P.: An examination of the Priestley–Taylor equation using a convective boundary layer model, Water Resour. Res., 33, 2571–2578, 1997b.
Li, D., Pan, M., Cong, Z., Zhang, L., and Wood, E.: Vegetation control on water and energy balance within the Budyko framework, Water Resour. Res., 49, 969–976, https://doi.org/10.1002/wrcr.20107, 2013.
Lintner, B. R., Gentine, P., Findell, K. L., and Salvucci, G. D.: The Budyko and complementary relationships in an idealized model of large-scale land–atmosphere coupling, Hydrol. Earth Syst. Sci., 19, 2119–2131, https://doi.org/10.5194/hess-19-2119-2015, 2015.
Mallick, K., Jarvis, A., Fisher, J. B., Tu, K. P., Boegh, E., and Niyogi, D.: Latent heat flux and canopy conductance based on Penman-Monteith, Priestley–Taylor equation, and Bouchet's complementary hypothesis, J. Hydrometeor., 14, 419–442, https://doi.org/10.1175/JHM-D-12-0117.1, 2013.
Mezentsev, V.: More on the computation of total evaporation, Meteorol. Gidrol., 5, 24–26, 1955 (in Russian).
Morton, F. I.: Operational estimates of areal evapotranspiration and their significance to the science and practice of hydrology, J. Hydrol., 66, 1–76, 1983.
Pettijohn, J. C. and Salvucci, G. D.: A new two-dimensional physical basis for the complementary relation between terrestrial and pan evaporation, J. Hydrometeorol., 10, 565–574, https://doi.org/10.1175/2008JHM1026.1, 2009.
Szilagyi, J. and Jozsa, J.: Complementary relationship of evaporation and the mean annual water-energy balance, Water Resour. Res., 45, W09201, https://doi.org/10.1029/2009WR008129, 2009.
Szilagyi, J., Crago, R., and Qualls, R. J.: Testing the generalized complementary relationship of evaporation with continental-scale long-term water-balance data, J. Hydrol., 540, 914–922, https://doi.org/10.1016/j.jhydrol.2016.07.001, 2016.
Turc, L.: Le bilan d'eau des sols: relations entre les précipitations, l'évaporation et l'écoulement, Ann. Agron., Série A(5), 491–595, 1954.
Wang, D., Zhao, J., Tang, Y., and Sivapalan, M.: A thermodynamic interpretation of Budyko and L'vovich formulations of annual water balance: proportionality hypothesis and maximum entropy production, Water Resour. Res., 51, 3007–3016, https://doi.org/10.1002/2014WR016857, 2015.
Xu, C. Y. and Singh, V. P.: Evaluation of three complementary relationship evapotranspiration models by water balance approach to estimate actual regional evapotranspiration in different climatic regions, J. Hydrol., 308, 105–121, https://doi.org/10.1016/j.jhydrol.2004.10.024, 2005.
Yang, D., Sun, F., Liu, Z., Cong, Z., and Lei, Z.: Interpreting the complementary relationship in non-humid environments based on the Budyko and Penman hypotheses, Geophys. Res. Lett., 33, L18402, https://doi.org/10.1029/2006GL027657, 2006.
Yang, D., Sun, F., Liu, Z., Cong, Z., Ni, G., and Lei, Z.: Analyzing spatial and temporal variability of annual water-energy balance in nonhumid regions of China using the Budyko hypothesis, Water Resour. Res., 43, W04426, https://doi.org/10.1029/2006WR005224, 2007.
Yang, D., Shao, W., Yeh, P. J. F., Yang, H., Kanae, S., and Oki, T.: Impact of vegetation coverage on regional water balance in the nonhumid regions of China, Water Resour. Res., 45, W00A14, https://doi.org/10.1029/2008WR006948, 2009.
Yang, H., Yang, D., Lei, Z., and Sun, F.: New analytical derivation of the mean annual water-energy balance equation, Water Resour. Res., 44, W03410, https://doi.org/10.1029/2007WR006135, 2008.
Yang, H., Qi, J., Xu, X., Yang, D., and Lv, H.: The regional variation in climate elasticity and climate contribution to runoff across China, J. Hydrol., 517, 607–616, https://doi.org/10.1016/j.jhydrol.2014.05.062, 2014.
Zhang, L., Hickel, K., Dawes, W. R., Chiew, F. H. S., Western, A. W., and Briggs, P. R.: A rational function approach for estimating mean annual evapotranspiration, Water Resour. Res., 40, W02502, https://doi.org/10.1029/2003WR002710, 2004.
Zhang, L., Potter, N., Hickel, K., Zhang, Y., and Shao, Q.: Water balance modeling over variable time scales based on the Budyko framework – Model development and testing, J. Hydrol., 360, 117–131, https://doi.org/10.1016/j.jhydrol.2008.07.021, 2008.
Zhou, S., Yu, B., Huang, Y., and Wang, G.: The complementary relationship and generation of the Budyko functions, Geophys. Res. Lett., 42, 1781–1790, https://doi.org/10.1002/2015GL063511, 2015.