Stochasticity, invasions, and branching random walks

被引:39
|
作者
Kot, M [1 ]
Medlock, J [1 ]
Reluga, T [1 ]
Walton, DB [1 ]
机构
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
关键词
branching random walks; integrodifference equations; fat-tailed kernels; dispersal; biological invasions;
D O I
10.1016/j.tpb.2004.05.005
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals. For density-independent branching random walks, demographic stochasticity can produce extinction. Demographic stochasticity does not, however, reduce the overall asymptotic speed of invasion or preclude continually accelerating invasions. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:175 / 184
页数:10
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