The Coding of Separately Random Fractal Patterns and Its Applications to River Network Simulations
Date Issued
2004
Date
2004
Author(s)
Hung, Chun-Po
DOI
zh-TW
Abstract
This study proposes an analytical method for coding random self-similar river networks as a series of numbers, and investigates the corresponding algorithm that calculates the topological and the geometric distances from the code series. A process for generating fractal patterns, with various probabilities of generating particular pattern links, as in separately random self-similar generation or separately random fractals, is proposed, based on the wide range of stochastic characteristics of natural patterns. The coding method is applied to generate random self-similar river networks and the corresponding algorithm for calculating the geometric distances of the links is employed to determine the width function of the river networks, and thus evaluates the adaptability of the process. 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 imply that the separately random self-similar generating algorithm can be used successfully to calculate hydrological responses in a river basin.
Subjects
自相似
隨機碎形
編碼
河網
寬度函數
Self-similar
Width function
Random fractals
River network
Coding method
Type
thesis
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