Spatial models for species area curves


Journal Article

The relationship between species number and area is an old problem in biology. We propose here an interacting particle system - the multitype voter model with mutation - as a mathematical model to study this problem. We analyze the species area curves of this model as the mutation rate α tends to zero. We obtain two basic types of behavior depending on the size of the spatial region under consideration. If the region is a square with area α-r, r > 1, then, for small α, the number of species is of order α1r(log α)2, whereas if r < 1, the number of species is bounded.

Full Text

Duke Authors

Cited Authors

  • Bramson, M; Cox, JT; Durrett, R

Published Date

  • January 1, 1996

Published In

Volume / Issue

  • 24 / 4

Start / End Page

  • 1727 - 1751

International Standard Serial Number (ISSN)

  • 0091-1798

Digital Object Identifier (DOI)

  • 10.1214/aop/1041903204

Citation Source

  • Scopus