ArticlePLoS computational biology2020
Limits on amplifiers of natural selection under death-Birth updating.
Article in PLoS computational biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers.
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31 citing papers in PubMed.
- Mixed updating in structured populations.PLoS computational biology · 2026Article
- Coupling with opinion dynamics promotes prosocial behavior in multilayer networks.PLoS computational biology · 2026Article
- Environment heterogeneity creates fast amplifiers of natural selection in graph-structured populations.Nature communications · 2026Article
- Maintaining diversity in structured populations.PNAS nexus · 2025Article
- Colonization times in Moran process on graphs.PLoS computational biology · 2025Article
- Graph-structured populations elucidate the role of deleterious mutations in long-term evolution.Nature communications · 2025Article
- The effects of herding and dispersal behaviour on the evolution of cooperation on complete networks.Journal of mathematical biology · 2024Article
- Mutant fate in spatially structured populations on graphs: Connecting models to experiments.PLoS computational biology · 2024Article
- Fixation times on directed graphs.PLoS computational biology · 2024Article
- Evolutionary graph theory beyond single mutation dynamics: on how network-structured populations cross fitness landscapes.Genetics · 2024Article
- Amplifiers of selection for the Moran process with both Birth-death and death-Birth updating.PLoS computational biology · 2024Article
- Experimental evidence that network topology can accelerate the spread of beneficial mutations.Evolution letters · 2023Article
- Evolutionary dynamics of mutants that modify population structure.Journal of the Royal Society, Interface · 2023Article
- Frequent asymmetric migrations suppress natural selection in spatially structured populations.PNAS nexus · 2023Article
- Fixation probability in evolutionary dynamics on switching temporal networks.Journal of mathematical biology · 2023Article
- Self-loops in evolutionary graph theory: Friends or foes?PLoS computational biology · 2023Article
- Fixation dynamics on hypergraphs.PLoS computational biology · 2023Article
- Spectral dynamics of guided edge removals and identifying transient amplifiers for death-Birth updating.Journal of mathematical biology · 2023Article
- Categorizing update mechanisms for graph-structured metapopulations.Journal of the Royal Society, Interface · 2023Article
- Suppressors of fixation can increase average fitness beyond amplifiers of selection.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
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Abstract
The fixation probability of a single mutant invading a population of residents is among the most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are population structures that increase the fixation probability of advantageous mutants, compared to well-mixed populations. Extensive studies have shown that many amplifiers exist for the Birth-death Moran process, some of them substantially increasing the fixation probability or even guaranteeing fixation in the limit of large population size. On the other hand, no amplifiers are known for the death-Birth Moran process, and computer-assisted exhaustive searches have failed to discover amplification. In this work we resolve this disparity, by showing that any amplification under death-Birth updating is necessarily bounded and transient. Our boundedness result states that even if a population structure does amplify selection, the resulting fixation probability is close to that of the well-mixed population. Our transience result states that for any population structure there exists a threshold r⋆ such that the population structure ceases to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally, we also extend the above results to δ-death-Birth updating, which is a combination of Birth-death and death-Birth updating. On the positive side, we identify population structures that maintain amplification for a wide range of values r and δ. These results demonstrate that amplification of natural selection depends on the specific mechanisms of the evolutionary process.
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