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

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

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and

VIJAY K. GUPTA

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

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

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https://doi.org/10.1142/S0218348X08003958Cited by:22 (Source: Crossref)

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.

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