A non-Markovian model of rill erosion

Michael Damron, C Larrabee Winter

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We introduce a new model for rill erosion. We start with a network similar to that in the Discrete Web [7, 11] 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.

Original languageEnglish (US)
Pages (from-to)731-753
Number of pages23
JournalNetworks and Heterogeneous Media
Volume4
Issue number4
DOIs
StatePublished - 2009
Externally publishedYes

Fingerprint

Erosion
Pólya Urn
Vertex of a graph
Switch
Switches
Tend
Model
Simulation

Keywords

  • Dynamical discrete web
  • Erosion
  • Exchangeability
  • Pólya urn
  • Rill erosion

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Engineering(all)
  • Computer Science Applications

Cite this

A non-Markovian model of rill erosion. / Damron, Michael; Winter, C Larrabee.

In: Networks and Heterogeneous Media, Vol. 4, No. 4, 2009, p. 731-753.

Research output: Contribution to journalArticle

Damron, Michael ; Winter, C Larrabee. / A non-Markovian model of rill erosion. In: Networks and Heterogeneous Media. 2009 ; Vol. 4, No. 4. pp. 731-753.
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