2012/01/31 by Michael Khasin, Baruch Meerson, Evgeniy Khain +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · Social Sciences · #Biological dispersal #Biology #Demography #Diffusion and Search Dynamics #Ecology #Evolutionary Game Theory and Cooperation #Extinction (optical mineralogy) #Extinction probability #Habitat #Local extinction #Paleontology #Population #Population size #Stochastic processes and statistical mechanics #cond-mat.stat-mech #q-bio.PE
paper · pdf · doi:10.1103/physrevlett.109.138104
published as Phys. Rev. Lett. 109, 138104 (2012) · 7 pages, 3 figures, accepted for publication in PRL, appendix contains supplementary material
arxiv created 2012/08/22 · openalex publication_date 2012/09/27 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.