基于局部和全局优化的流域概念模型定标

Abdulnoor A.Jazim
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摘要

许多与水资源相关的问题都需要优化问题的解决。优化问题可能相当困难,例如许多概念分水岭模型的校准。概念流域模型是利用在自然或野外实验中观测到的水文变量之间的经验关系建立的。自动校准的成功主要取决于优化方法的选择。大多数早期校准流域模型的尝试都是基于局部搜索优化方法。局部优化方法不能处理流域模型标定中存在的多区域吸引、多局部最优、不敏感和参数相互依赖等问题。因此,必须采用能够处理这些不同困难的全局优化程序。本文采用一种局部搜索优化方法和一种全局搜索方法对一个简单的十参数降雨径流模型进行参数标定。局部搜索方法是著名的Rosenbrock直接搜索方法;全局搜索方法是新发展的shuffle Complex Evolution (SCE)方法。结果表明,Shuffle Complex Evolution优化方法优于Rosenbrok的直接搜索方法。结果证实了许多流域建模者的发现,即Rosenbrock的方法依赖于初始搜索点的选择。它进一步补充说,Rosenbrock的方法只有在初始搜索点在真正的最优参数集的5%以内时才有效。结果表明,适当选择优化方法可以提高获得唯一且概念上真实的参数估计的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Calibration of Watershed Conceptual Models Using Local and Global ptimization
Many issues related to water resources require the solution of optimization problems. Optimization problems can be quite difficult such as the calibration of many conceptual watershed models. Conceptual watershed models are formulated using empirical relationships between hydrological variables observed in nature or field experiments .The success of automatic calibration depends mainly on the choice of optimization method. Most early attempts to calibrate watershed models have been based on local-search optimization methods. Local optimization methods are not designed to handle the presence of multiple regions of attraction, multi-local optima, insensitivities and parameter interdependencies, and other problems encountered in the calibration of watersheds models. It is therefore imperative that global optimization procedures that are capable of dealing with these various difficulties be employed. In this study, one local search optimization method and one global search method are used to calibrate the parameters a simple tenparameter rainfall-runoff model. The local search method is the well-known Rosenbrock's direct search method; the global search method is the newly developed Shuffled Complex Evolution (SCE) method . The results revealed that Shuffle Complex Evolution optimization method is more superior to Rosenbrok’s direct search method. The results confirmed the finding of many watershed modellers about the dependency of Rosenbrock’s method on the choice of initial search points. It further adds that Rosenbrock’s method is only effective when the initial search points are taken within 5 % or less from the true optimum parameter set. The results indicate that a proper choice of optimization methods can enhance the possibility of obtaining unique and conceptually realistic parameter estimate.
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