A non-Markovian model of rill erosion
Probability
2009-11-22 v2 Geophysics
Abstract
We introduce a new model for rill erosion. We start with a network similar to that in the Discrete Web and instantiate a dynamics which makes the process highly non-Markovian. The behavior of nodes in the streams is similar to the behavior of Polya urns with time-dependent input. In this paper we use a combination of rigorous arguments and simulation results to show that the model exhibits many properties of rill erosion; in particular, nodes which are deeper in the network tend to switch less quickly.
Keywords
Cite
@article{arxiv.0810.1483,
title = {A non-Markovian model of rill erosion},
author = {Michael Damron and C. L. Winter},
journal= {arXiv preprint arXiv:0810.1483},
year = {2009}
}
Comments
26 pages, 9 figures, reference added, acknowledgments added