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 language | English (US) |
|---|---|
| Pages (from-to) | 731-753 |
| Number of pages | 23 |
| Journal | Networks and Heterogeneous Media |
| Volume | 4 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2009 |
| Externally published | Yes |
Keywords
- Dynamical discrete web
- Erosion
- Exchangeability
- Pólya urn
- Rill erosion
ASJC Scopus subject areas
- Statistics and Probability
- General Engineering
- Computer Science Applications
- Applied Mathematics