Abstract:

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.

Key words: recursive algorithm, vespouse function, self-similar, rainfall-runoff response, scale transformation