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Rainfall-Runoff Response in Self-Similar River Networks ——a Study of a Recursive Replacement Algorithm of Function

自相似河网的降雨-径流响应——一种函数递归迭代算法


提出一种函数递归迭代算法,应用于具有分形特征河流的降水-径流响应计算,对2种严格的自相似河网分别导出递归方程;采用这种函数递归迭代算法,用在中国东北辽河小流域上测量的降雨-径流2组数据,分析森林对大流域径流的影响,结果表明,森林对小流域的有利影响在大流域中不仅保持,而且还得到进一步加强。

An approach was proposed for calculating the rainfall-runoff responses in the fractal geometry, and it was established by using a recursive replacement algorithm of function (RRF) to two types of the strict self-similar river networks (SSN). In order to estimating the hydrologic responses, two sets of recursive equations were developed for two types of the SSNs, T1 and T2, respectively. To verify the RRF algorithm, two groups of data measured in the small catchments of Liaohe river in northeast China were used to examine influences of forests on the runoff of large watershed. According to the simulation of RRF, the favourable influences of forests in the small catchment on the runoff are not only maintained, but also further strengthened by the self-similar river networks.


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