ArticleGenetics2011
On the fixation process of a beneficial mutation in a variable environment.
Article in Genetics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 67 papers.
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Who cites it
67 citing papers in PubMed.
- Fixation Probabilities of Mutant Alleles in an Ecological Context.bioRxiv : the preprint server for biology · 2026Article
- Slow spatial migration can help eradicate cooperative antimicrobial resistance in time-varying environments.PLoS computational biology · 2026Article
- Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics.Journal of mathematical biology · 2026Article
- Article
- Article
- The adaptive state determines the impact of mutations on evolving populations.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Graph-structured populations elucidate the role of deleterious mutations in long-term evolution.Nature communications · 2025Article
- Asynchronous abundance fluctuations can drive giant genotype frequency fluctuations.Nature ecology & evolution · 2025Article
- Unlocking the potential of experimental evolution to study drug resistance in pathogenic fungi.npj antimicrobials and resistance · 2024Review
- Asynchronous abundance fluctuations can drive giant genotype frequency fluctuations.bioRxiv : the preprint server for biology · 2024Article
- Coupled environmental and demographic fluctuations shape the evolution of cooperative antimicrobial resistance.Journal of the Royal Society, Interface · 2023Article
- Evolutionary rescue on genotypic fitness landscapes.Journal of the Royal Society, Interface · 2023Article
- A theory of oligogenic adaptation of a quantitative trait.Genetics · 2023Article
- Solving the stochastic dynamics of population growth.Ecology and evolution · 2023Article
- A stochastic analysis of the interplay between antibiotic dose, mode of action, and bacterial competition in the evolution of antibiotic resistance.PLoS computational biology · 2023Article
- Evolutionary rescue in a fluctuating environment: periodic versus quasi-periodic environmental changes.Proceedings. Biological sciences · 2023Article
- The phoenix hypothesis of speciation.Proceedings. Biological sciences · 2022Article
- A theory of resistance to multiplexed gene drive demonstrates the significant role of weakly deleterious natural genetic variation.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Hybrid fitness effects modify fixation probabilities of introgressed alleles.G3 (Bethesda, Md.) · 2022Article
- Time to fixation in changing environments.Genetics · 2021Article
7 more citing papers are in PubMed but not listed here.
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2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A population that adapts to gradual environmental change will typically experience temporal variation in its population size and the selection pressure. On the basis of the mathematical theory of inhomogeneous branching processes, we present a framework to describe the fixation process of a single beneficial allele under these conditions. The approach allows for arbitrary time-dependence of the selection coefficient s(t) and the population size N(t), as may result from an underlying ecological model. We derive compact analytical approximations for the fixation probability and the distribution of passage times for the beneficial allele to reach a given intermediate frequency. We apply the formalism to several biologically relevant scenarios, such as linear or cyclic changes in the selection coefficient, and logistic population growth. Comparison with computer simulations shows that the analytical results are accurate for a large parameter range, as long as selection is not very weak.
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