General Coding Method on Random Self-Similar Tree Composed of Multiple Basic Patterns

Abstract

This work discusses the random self-similar tree generation by employing multiple basic patterns, and investigates the character code and standardization algorithm for multiple basic patterns. With reference to the wide range of various basic patterns in natural shapes, the general coding method and the corresponding algorithm to calculate the topological distance is developed for random self-similar tree with multiple basic patterns. To assess the adaptability of the process, the general coding method is applied to transfer the generated river network to a code series and the corresponding algorithm for calculating topological distance of the links is used to determine the width function of the pattern. Finally, the width-function based geomorphologic instantaneous unit hydrograph (WF-GIUH) model is then applied to estimate the runoff of the Po-bridge watershed in northern Taiwan. The results reveal that the random self-similar tree with multiple basic patterns proposed in this study can be implemented successfully to calculate hydrologic responses. . Downloaded from www.worldscientific.com by YALE UNIVERSITY on 02/02/15. For personal use only. Fractals 2009.17:283-298. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 02/02/15. For personal use only. Fractals 2009.17:283-298. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 02/02/15. For personal use only.