ArticleJournal of mathematical biology2021
Fixation probabilities in evolutionary dynamics under weak selection.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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36 citing papers in PubMed.
- Hyperedge approximation for stochastic processes on higher-order networks.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
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- Emergent frequency-dependent selection predicts mutation outcomes in complex ecological communities.bioRxiv : the preprint server for biology · 2026Article
- On the optimal integration of intelligent agents into network systems to steer cooperation.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Public goods games on any population structure.Science advances · 2026Article
- Individual incentives that promote collective intelligence.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Promoters of cooperation in evolutionary games.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- A multi-agent reinforcement learning framework for exploring dominant strategies in iterated and evolutionary games.Nature communications · 2025Article
- Behavioral alignment in social networks.National science review · 2025Article
- Colonization times in Moran process on graphs.PLoS computational biology · 2025Article
- Evolutionary dynamics of behavioral motivations for cooperation.Nature communications · 2025Article
- Graph-structured populations elucidate the role of deleterious mutations in long-term evolution.Nature communications · 2025Article
- Matrix games between full siblings in Mendelian populations.PloS one · 2025Article
- Survival cost sharing among altruistic full siblings in Mendelian population.BMC ecology and evolution · 2024Article
- The evolution of social behaviors and risk preferences in settings with uncertainty.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Evolutionary graph theory beyond single mutation dynamics: on how network-structured populations cross fitness landscapes.Genetics · 2024Article
- The speed of neutral evolution on graphs.Journal of the Royal Society, Interface · 2024Article
- A theory of evolutionary dynamics on any complex population structure reveals stem cell niche architecture as a spatial suppressor of selection.Nature communications · 2024Article
- Multiscale selection in spatially structured populations.Proceedings. Biological sciences · 2024Article
- Nonlinear social evolution and the emergence of collective action.PNAS nexus · 2024Article
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2 authors.
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Abstract
In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as it depends on the mutation's effect on the organism as well as the population's spatial structure, mating patterns, and other factors. In this study, we consider weak selection, which means that the mutation's effect on the organism is small. We obtain a weak-selection perturbation expansion of a mutant's fixation probability, from an arbitrary initial configuration of mutant and resident types. Our results apply to a broad class of stochastic evolutionary models, in which the size and spatial structure are arbitrary (but fixed). The problem of whether selection favors a given trait is thereby reduced from exponential to polynomial complexity in the population size, when selection is weak. We conclude by applying these methods to obtain new results for evolutionary dynamics on graphs.
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