ArticleProceedings of the National Academy of Sciences of the United States of America2015
Stochastic game dynamics under demographic fluctuations.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 31 papers.
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31 citing papers in PubMed.
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- Fine scale diversity in the lava: genetic and phenotypic diversity in small populations of Arctic charr Salvelinus alpinus.BMC ecology and evolution · 2024Article
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- Equilibria and oscillations in cheat-cooperator dynamics.Evolution letters · 2023Article
- Reproductive variance can drive behavioral dynamics.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
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- Elevational changes in the bacterial community composition and potential functions in a Tibetan grassland.Frontiers in microbiology · 2022Article
- Stochasticity in host-parasitoid models informs mechanisms regulating population dynamics.Scientific reports · 2021Article
- Stochastic dynamics of predator-prey interactions.PloS one · 2021Article
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- Why is cyclic dominance so rare?eLife · 2020Article
- Fine-scale barriers to connectivity across a fragmented South-East Asian landscape in six songbird species.Evolutionary applications · 2020Article
- Resist or perish: Fate of a microbial population subjected to a periodic presence of antimicrobial.PLoS computational biology · 2020Article
- Diffusion approximation for an age-class-structured population under viability and fertility selection with application to fixation probability of an advantageous mutant.Journal of mathematical biology · 2019Article
- Neighborhood size-effects shape growing population dynamics in evolutionary public goods games.Communications biology · 2019Article
Corrections and comments
- Erratum issued
Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Frequency-dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency-dependent selection, the average fitness of the population may increase or decrease based on interactions between individuals within the population. This should be reflected in fluctuations of the population size even in constant environments. Here, we propose a stochastic model that naturally combines these two evolutionary ingredients by assuming frequency-dependent competition between different types in an individual-based model. In contrast to previous game theoretic models, the carrying capacity of the population, and thus the population size, is determined by pairwise competition of individuals mediated by evolutionary games and demographic stochasticity. In the limit of infinite population size, the averaged stochastic dynamics is captured by deterministic competitive Lotka-Volterra equations. In small populations, demographic stochasticity may instead lead to the extinction of the entire population. Because the population size is driven by fitness in evolutionary games, a population of cooperators is less prone to go extinct than a population of defectors, whereas in the usual systems of fixed size the population would thrive regardless of its average payoff.
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