Area-slope relation in a simple erosion model

We discuss area-slope relation of a landform evolved by a simple lattice model of an erosion process. Observing a steady state of the model, where river networks on the surface are stationary, we present the relation between the power exponent of the area-slope relation and the parameters of the ero...

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Bibliographic Details
Published in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 64; no. 2 Pt 2; p. 027103
Main Author: Inaoka, H
Format: Journal Article
Language:English
Published: United States 01-08-2001
Online Access:Get full text
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Summary:We discuss area-slope relation of a landform evolved by a simple lattice model of an erosion process. Observing a steady state of the model, where river networks on the surface are stationary, we present the relation between the power exponent of the area-slope relation and the parameters of the erosion process of the model. We show how to determine the parameters of the erosion process from observations of landform by making use of the area-slope relation. This method may be useful for morphological simulations of the landforms.
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ISSN:1539-3755
1063-651X
1095-3787
DOI:10.1103/PhysRevE.64.027103