ArticleRoyal Society open science2019
Environmental fitness heterogeneity in the Moran process.
Article in Royal Society open science, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Environment heterogeneity creates fast amplifiers of natural selection in graph-structured populations.Nature communications · 2026Article
- The effect of the fitness gradient on fixation probability.Nature communications · 2026Article
- Maintaining diversity in structured populations.PNAS nexus · 2025Article
- Fixation times on directed graphs.PLoS computational biology · 2024Article
- 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
- The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.PLoS computational biology · 2021Article
- The Moran process on 2-chromatic graphs.PLoS computational biology · 2020Article
- Adversity and cooperation in heterogeneous pairs.Scientific reports · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Many mathematical models of evolution assume that all individuals experience the same environment. Here, we study the Moran process in heterogeneous environments. The population is of finite size with two competing types, which are exposed to a fixed number of environmental conditions. Reproductive rate is determined by both the type and the environment. We first calculate the condition for selection to favour the mutant relative to the resident wild-type. In large populations, the mutant is favoured if and only if the mutant's spatial average reproductive rate exceeds that of the resident. But environmental heterogeneity elucidates an interesting asymmetry between the mutant and the resident. Specifically, mutant heterogeneity suppresses its fixation probability; if this heterogeneity is strong enough, it can even completely offset the effects of selection (including in large populations). By contrast, resident heterogeneity has no effect on a mutant's fixation probability in large populations and can amplify it in small populations.
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