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Continuum Model for River Networks

Achille Giacometti·Amos Maritan·Jayanth R. Banavar
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Abstract

The effects of erosion, avalanching and random precipitation are captured in a simple stochastic partial differential equation for modelling the evolution of river networks. Our model leads to a self-organized structured landscape and to abstraction and piracy of the smaller tributaries as the evolution proceeds. An algebraic distribution of the average basin areas and a power law relationship between the drainage basin area and the river length are found.

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Achille Giacometti, Amos Maritan, Jayanth R. Banavar. 1995-05-26. Continuum Model for River Networks. https://doi.org/10.1103/physrevlett.75.577

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