Growth, competition and cooperation in spatial population genetics
Abstract
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. By concluding with examples in which individuals are transported by fluid flows, we argue that this model is a natural choice to describe competition in marine environments.
Cite
@article{arxiv.1208.4973,
title = {Growth, competition and cooperation in spatial population genetics},
author = {Simone Pigolotti and Roberto Benzi and Prasad Perlekar Mogens H. Jensen and Federico Toschi and David R. Nelson},
journal= {arXiv preprint arXiv:1208.4973},
year = {2015}
}
Comments
29 pages, 14 figures; revised version including a section with results in the presence of fluid flows