Abstract The Budyko framework was firstly developed to estimate actual evaporation as a function of precipitation and the aridity index at steady state conditions. Based on this framework, the water storage change in the watershed is assumed to be negligible at large spatial and temporal scales. However, steady state conditions are not valid for many watersheds worldwide or at finer temporal or spatial scales. Accordingly, the application of the Budyko framework has become challenging for these situations. Therefore, many researchers have tried to extend the Budyko framework for non-steady state conditions. The aim of this study is to provide a review of the extended equations and to discuss using the Budyko framework in a changing world. While the extended equations are more complex than the original ones, they still require little data. Thus, the Budyko framework, either the original or the extended can be a very useful tool for hydrological modeling with lots of applications, especially in data scarce regions.

中文翻译：

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Budyko 框架；对非稳态条件

摘要 Budyko 框架首先被开发用于估计实际蒸发量作为稳定状态条件下降水和干旱指数的函数。基于这个框架，流域的蓄水量变化被假定在大的空间和时间尺度上可以忽略不计。然而，稳态条件对于世界范围内的许多流域或更精细的时间或空间尺度并不适用。因此，对于这些情况，Budyko 框架的应用变得具有挑战性。因此，许多研究人员试图将 Budyko 框架扩展到非稳态条件。本研究的目的是回顾扩展方程并讨论在不断变化的世界中使用 Budyko 框架。虽然扩展方程比原始方程更复杂，但它们仍然需要很少的数据。因此，