Mass extinctions: An alternative to the Allee effect
成果类型：
Article
署名作者：
Schinazi, RB
署名单位：
University of Colorado System; University of Colorado at Colorado Springs
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/105051604000000819
发表日期：
2005
页码：
984-991
关键词：
摘要：
We introduce a spatial stochastic process on the lattice Z(d) to model mass extinctions. Each site of the lattice may host a flock of up to N individuals. Each individual may give birth to a new individual at the same site at rate 0 until the maximum of N individuals has been reached at the site. Once the flock reaches N individuals, then, and only then, it starts giving birth on each of the 2d neighboring sites at rate; lambda(N). Finally, disaster strikes at rate 1, that is, the whole flock disappears. Our model shows that, at least in theory, there is a critical maximum flock size above which a species is certain to disappear and below which it may survive.