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| It is widely acknowledged that adaptation of quantitative (i.e. polygenic) traits plays a key role in the establishment and spread of invasive species, but few theoretical studies of such adaptation exist. Here we study reaction-diffusion systems (due to Kirkpatrick and Barton) and related, but more general, integrodifference systems governing the joint evolution of population density, trait mean and variance in a spatially heterogeneous environment. We describe conditions under which maladaptation contributes to extinction or range pinning or adaptation promotes the propagation of a traveling wave of invasion. |
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