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Growth, competition and cooperation in spatial population genetics

Author

Listed:
  • Pigolotti, S.
  • Benzi, R.
  • Perlekar, P.
  • Jensen, M.H.
  • Toschi, F.
  • Nelson, D.R.

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.

Suggested Citation

  • Pigolotti, S. & Benzi, R. & Perlekar, P. & Jensen, M.H. & Toschi, F. & Nelson, D.R., 2013. "Growth, competition and cooperation in spatial population genetics," Theoretical Population Biology, Elsevier, vol. 84(C), pages 72-86.
    • Handle: RePEc:eee:thpobi:v:84:y:2013:i:c:p:72-86
    DOI: 10.1016/j.tpb.2012.12.002
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    References listed on IDEAS

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    1. Doering, Charles R. & Mueller, Carl & Smereka, Peter, 2003. "Interacting particles, the stochastic Fisher–Kolmogorov–Petrovsky–Piscounov equation, and duality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 243-259.
    2. Frey, Erwin, 2010. "Evolutionary game theory: Theoretical concepts and applications to microbial communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4265-4298.
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    Cited by:

    1. Lavrentovich, Maxim O. & Nelson, David R., 2015. "Survival probabilities at spherical frontiers," Theoretical Population Biology, Elsevier, vol. 102(C), pages 26-39.
    2. Bryant, Adam S. & Lavrentovich, Maxim O., 2022. "Survival in branching cellular populations," Theoretical Population Biology, Elsevier, vol. 144(C), pages 13-23.

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