Spatial models for species area curves
成果类型：
Article
署名作者：
Bramson, M; Cox, JT; Durrett, R
署名单位：
Syracuse University; Cornell University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1996
页码：
1727-1751
关键词：
摘要：
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 alpha 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 alpha(-r), r > 1, then, for small alpha, the number of species is of order alpha(1-r)(log alpha)(2), whereas if r < 1, the number of species is bounded.