ArticleJournal of the Royal Society, Interface2014
Fixation in finite populations evolving in fluctuating environments.
Article in Journal of the Royal Society, Interface, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
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Who cites it
25 citing papers in PubMed.
- Fixation Probabilities of Mutant Alleles in an Ecological Context.bioRxiv : the preprint server for biology · 2026Article
- Evolution of cooperation guided by the coexistence of imitation learning and reinforcement learning.Scientific reports · 2025Article
- Collective cooperative intelligence.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Cultural tightness and resilience against environmental shocks in nonindustrial societies.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Mutant fate in spatially structured populations on graphs: Connecting models to experiments.PLoS computational biology · 2024Article
- Frequent asymmetric migrations suppress natural selection in spatially structured populations.PNAS nexus · 2023Article
- Evolution in fluctuating environments: A generic modular approach.Evolution; international journal of organic evolution · 2022Article
- The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review.Journal of the Royal Society, Interface · 2022Review
- Learning enables adaptation in cooperation for multi-player stochastic games.Journal of the Royal Society, Interface · 2020Article
- Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments.Journal of mathematical biology · 2020Article
- Evolutionary dynamics with game transitions.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Environmental spatial and temporal variability and its role in non-favoured mutant dynamics.Journal of the Royal Society, Interface · 2019Article
- Seasonal payoff variations and the evolution of cooperation in social dilemmas.Scientific reports · 2019Article
- Bet-hedging strategies in expanding populations.PLoS computational biology · 2019Article
- Fixation probabilities for the Moran process in evolutionary games with two strategies: graph shapes and large population asymptotics.Journal of mathematical biology · 2019Article
- Neighborhood size-effects shape growing population dynamics in evolutionary public goods games.Communications biology · 2019Article
- Eco-evolutionary dynamics of a population with randomly switching carrying capacity.Journal of the Royal Society, Interface · 2018Article
- Noise-induced stabilization and fixation in fluctuating environment.Scientific reports · 2018Article
- How successful are mutants in multiplayer games with fluctuating environments? Sojourn times, fixation and optimal switching.Royal Society open science · 2018Article
- Biology-Culture Co-evolution in Finite Populations.Scientific reports · 2018Article
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3 authors.
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Abstract
The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment. The population dynamics are driven by birth and death events. The rates of these events may vary in time depending on the state of the environment, which follows an independent Markov process. We develop a general theory for the fixation probability of a mutant in a population of wild-types, and for mean unconditional and conditional fixation times. We apply our theory to evolutionary games for which the payoff structure varies in time. The mutant can exploit the environmental noise; a dynamic environment that switches between two states can lead to a probability of fixation that is higher than in any of the individual environmental states. We provide an intuitive interpretation of this surprising effect. We also investigate stationary distributions when mutations are present in the dynamics. In this regime, we find two approximations of the stationary measure. One works well for rapid switching, the other for slowly fluctuating environments.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.