Minimizing the population extinction risk by migration
Michael Khasin, Baruch Meerson, Evgeniy Khain, Leonard M. Sander
TL;DR
This paper investigates how to optimally set migration rates in a network of habitat patches to minimize the risk of population extinction, considering local stochastic extinctions and migration effects.
Contribution
It provides a mathematical framework to determine the optimal migration rate in a network of patches with varying capacities to reduce extinction risk.
Findings
Optimal migration rate depends on network structure and patch capacities.
Migration can significantly delay local and global extinctions.
The model guides conservation strategies for fragmented populations.
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.
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