Horton Law and Fractal Nature of Branching Networks

Based on Horton law,this paper proposes the property of tip set of branching networks which is more significant in actual works,and the self-similar dimension of tip set is obtained.Then multifractal nature of tip set of branching networks with two different branching lenghth ratios is described,and its f(α)～α spectrum as well as D_q～q spectrum are analysised qualitatively.Finally,their significance in the real river networks are discussed.