Growth, competition and cooperation in spatial population genetics
arXiv:1208.4973 · doi:10.1016/j.tpb.2012.12.002
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.
29 pages, 14 figures; revised version including a section with results in the presence of fluid flows
References in corpus (6)
- Selective sweeps in growing microbial colonies
- What ecological factors shape species-area curves in neutral models?
- Population dynamics in compressible flows
- Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition
- Invasive advance of an advantageous mutation: nucleation theory
- Discreteness effects in a reacting system of particles with finite interaction radius
Cited by in corpus (24)
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- Stationary solutions for metapopulation Moran models with mutation and selection
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- Motion, fixation probability and the choice of an evolutionary process
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- Survival in Branching Cellular Populations
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- Fixation in Competing Populations: Diffusion and Strategies for Survival
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