Simone Pigolotti, Roberto Benzi, Prasad Perlekar Mogens H. Jensen, Federico Toschi, David R. Nelson
We study an individual based model describing competition in space between two different alleles. Although the model is similar in spirit to classic models of spatial population genetics such as the stepping stone model, here however space is continuous and the total density of competing individuals fluctuates due to demographic stochasticity. By means of analytics and numerical simulations, we study the behavior of fixation probabilities, fixation times, and heterozygosity, in a neutral setting and in cases where the two species can compete or cooperate. We argue that this model is a natural starting point to describe more complex situations, most notably competition in marine environments where individuals are transported by fluid flows.
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http://arxiv.org/abs/1208.4973
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