A spatial model for the abundance of species
成果类型：
Article
署名作者：
Bramson, M; Cox, JT; Durrett, RR
署名单位：
University of Minnesota System; University of Minnesota Twin Cities; Syracuse University; Cornell University; Cornell University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1998
页码：
658-709
关键词：
摘要：
The voter model, with mutations occurring at a positive rate alpha, has a unique equilibrium distribution. We investigate the logarithms of the relative abundance of species for these distributions in d greater than or equal to 2. We show that, as alpha --> 0, the limiting distribution is right triangular in d = 2 and uniform in d greater than or equal to 3. We also obtain more detailed results for the histograms that biologists use to estimate the underlying density functions.