Abstract The complementary principle provides a simple method for estimating land surface evaporation using standard meteorological observations and has received increasing attention in recent years. In this study, we propose an exponential generalized complementary function that satisfies the physical boundary conditions and constraints proposed by Brutsaert (2015). With one adjustable parameter, the new exponential function is validated using observations from 21 FLUXNET stations, and the results show that the exponential function can efficiently simulate actual daily evaporation. A comparison between the exponential function and the polynomial function proposed in previous studies suggests that the exponential function can improve the accuracy, reasonableness and flexibility of land surface evaporation estimation. Overall, the exponential function provides a new method for estimating land surface evaporation and may enhance our understanding of the complementary principle.

中文翻译：

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推导具有物理约束的地表蒸发估算的指数互补函数

摘要 互补原理为利用标准气象观测估算地表蒸发提供了一种简单的方法，近年来受到越来越多的关注。在这项研究中，我们提出了满足 Brutsaert (2015) 提出的物理边界条件和约束的指数广义互补函数。通过一个可调参数，新的指数函数通过来自 21 个 FLUXNET 站的观测得到验证，结果表明指数函数可以有效地模拟实际的日蒸发量。指数函数与以往研究中提出的多项式函数的比较表明，指数函数可以提高地表蒸发估算的准确性、合理性和灵活性。全面的，