title: 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.
authors.affiliation: Dept. de Fisica i Eng. Nuclear, Universitat Politecnica de Catalunya Edif. GAIA, Rambla Sant Nebridi s/n, 08222 Terrassa, Barcelona, Spain. simone.pigolotti@gmail.com
authors.forename: S
authors.initials: S
authors.lastname: Pigolotti
authors.forename: R
authors.initials: R
authors.lastname: Benzi
authors.forename: P
authors.initials: P
authors.lastname: Perlekar
authors.forename: M H
authors.initials: MH
authors.lastname: Jensen
authors.forename: F
authors.initials: F
authors.lastname: Toschi
authors.forename: D R
authors.initials: DR
authors.lastname: Nelson
mesh_terms: D003710:Demography; D005828:Genetics, Population; D006579:Heterozygote; D008386:Marine Biology; D008962:Models, Theoretical; D013269:Stochastic Processes