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 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.
Inaoka
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Graduate School of Frontier Sciences, The University of Tokyo, Japan.