English

Minimizing the population extinction risk by migration

Populations and Evolution 2015-06-03 v4 Statistical Mechanics

Abstract

Many populations in nature are fragmented: they consist of local populations occupying separate patches. A local population is prone to extinction due to the shot noise of birth and death processes. A migrating population from another patch can dramatically delay the extinction. What is the optimal migration rate that minimizes the extinction risk of the whole population? Here we answer this question for a connected network of model habitat patches with different carrying capacities.

Keywords

Cite

@article{arxiv.1201.5204,
  title  = {Minimizing the population extinction risk by migration},
  author = {Michael Khasin and Baruch Meerson and Evgeniy Khain and Leonard M. Sander},
  journal= {arXiv preprint arXiv:1201.5204},
  year   = {2015}
}

Comments

7 pages, 3 figures, accepted for publication in PRL, appendix contains supplementary material

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