Articles | Volume 20, issue 12
Research article
12 Dec 2016
Research article |  | 12 Dec 2016

The Budyko functions under non-steady-state conditions

Roger Moussa and Jean-Paul Lhomme

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Cited articles

Alley, W. M.: On the treatment of evapotranspiration, soil moisture accounting, and aquifer recharge in monthly water balance models, Water Resour. Res., 20, 1137–1149, 1984.
Andréassian, V., Mander, Ü., and Pae, T.: The Budyko hypothesis before Budyko: The hydrological legacy of Evald Oldekop, J. Hydrol., 535, 386–391,, 2016.
Budyko, M. I.: Climate and life, Academic Press, Orlando, FL, 508 pp., 1974.
Carmona, A., Sivapalan, M., Yaeger, M. A., and Poveda, G.: Regional patterns of interannual variability of catchment water balances across the continental U.S.: A Budyko framework, Water Resour. Res., 50, 9177–9193,, 2014.
Chen, X., Alimohammadi, N., and Wang, D.: Modeling interannual variability of seasonal evaporation and storage change based on the extended Budyko framework, Water Resour. Res., 49, 6067–6078,, 2013.
Short summary
A new physically based formulation is proposed to extend the Budyko framework under non-steady-state conditions, taking into account the change in water storage. The new formulation, which introduces an additional parameter, represents a generic framework applicable to any Budyko function at various time steps. It is compared to other formulations from the literature and the analytical solution of Greve et al. (2016) appears to be a particular case.