河道配列の統計則に関する基礎的研究

Abstract

The geometric structure of channel distribution in a river basin is a basic characte-ristic for the mathematical analysis of flood runoff as intensive hydrologic phenomenaand for the quantitative evaluation of long range variations in configuration of riverbasin and runoff pattern in physical geography.This paper treats with the stochastic process of the formation of channel distributionin a river basin under the action of external agency through the mathematical analysisof a model obtained in terms of the concept of stream orders in quantitative geomorp-hology, the theory of geometric network and the probabilitistic approach.The mathematical analysis discloses the probabilitistic characteristics of geometricquantities composing the channel distribution, and it is concluded that the channeldistribution converges to three statistical laws under the equilibrium conditon.The present approach will be a real contribution to the theoretical procedure inquantitative geoinorphology and will play an important role in macroscopic water prob.Lems.