A PROOF OF THE HORTON LAW OF STREAM NUMBERS FOR THE TOKUNAGA MODEL OF RIVER NETWORKS-Reference-Cited by-同舟云学术

A PROOF OF THE HORTON LAW OF STREAM NUMBERS FOR THE TOKUNAGA MODEL OF RIVER NETWORKS

Published:2008-09 Issue:03 Volume:16 Page:227-233
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

MCCONNELL MEGAN¹,GUPTA VIJAY K.¹²

Affiliation:

1. Department of Civil, Environmental and Architectural Engineering, University of Colorado-Boulder, Boulder, CO 80309, USA

2. Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado-Boulder, Boulder, CO 80309, USA

Abstract

The Horton laws of stream numbers and magnitudes are proved in the limit of large network order for the broad class of Tokunaga model of river networks. Tokunaga model is built on the assumption of mean self-similarity in the side tributary structure, and an additional assumption of Tokunaga self-similarity, which is supported by data from real networks. Tokunaga model is gaining increasing recognition in the recent literature, because data supports several predictions of the model.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X08003958

Reference22 articles.

1. Infinite Topologically Random Channel Networks

3. The Theory of Branching Processes

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