Dynamics of sexual populations structured by a space variable and a phenotypical trait

Sepideh Mirrahimi and Raoul, Gaël

Theoretical Population Biology, 2013, vol. 84, issue C, 87-103

Abstract: We study sexual populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. Departing from an infinitesimal model, we perform an asymptotic limit to derive the system introduced in Kirkpatrick and Barton (1997). We then perform a further simplification to obtain a simple model. Thanks to this simpler equation, we can describe rigorously the dynamics of the population. In particular, we provide an explicit estimate of the invasion speed, or extinction speed of the species. Numerical computations show that this simple model provides a good approximation of the original infinitesimal model, and in particular describes quite well the evolution of the species’ range.

Keywords: Gene flow; Biological invasions; Structured populations (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:84:y:2013:i:c:p:87-103

DOI: 10.1016/j.tpb.2012.12.003

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