Competition between fast- and slow-diffusing species in non-homogeneous environments

Simone Pigolotti; Roberto Benzi

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arXiv · 1601.06943

Competition between fast- and slow-diffusing species in non-homogeneous environments

Simone Pigolotti·Roberto Benzi

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Abstract

We study an individual-based model in which two spatially-distributed species, characterized by different diffusivities, compete for resources. We consider three different ecological settings. In the first, diffusing faster has a cost in terms of reproduction rate. In the second case, resources are not uniformly distributed in space. In the third case, the two species are transported by a fluid flow. In all these cases, at varying the parameters, we observe a transition from a regime in which diffusing faster confers an effective selective advantage to one in which it constitutes a disadvantage. We analytically estimate the magnitude of this advantage (or disadvantage) and test it by measuring fixation probabilities in simulations of the individual-based model. Our results provide a framework to quantify evolutionary pressure for increased or decreased dispersal in a given environment.

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Simone Pigolotti, Roberto Benzi. 2016-01-26. Competition between fast- and slow-diffusing species in non-homogeneous environments. https://arxiv.org/abs/1601.06943

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