Bridging Wright–Fisher and Moran models
The Wright-Fisher model and the Moran model are both widely used in population genetics. They describe the time evolution of the frequency of an allele in a well-mixed population with fixed size. We propose a simple and tractable model which bridges the Wright-Fisher and the Moran descriptions. We assume that a fixed fraction of the population is updated at each discrete time step. In this model, we determine the fixation probability of a mutant and its average fixation and extinction times, under the diffusion approximation. We further study the associated coalescent process, which converges to Kingman's coalescent, and we calculate effective population sizes. We generalize our model, first by taking into account fluctuating updated fractions or individual lifetimes, and then by incorporating selection on the lifetime as well as on the reproductive fitness.
Authors
- Anne‐Florence Bitbol (ORCID: https://orcid.org/0000-0003-1020-494X)
- Alia Abbara (ORCID: https://orcid.org/0000-0002-5353-8993)
- Arthur Alexandre (ORCID: https://orcid.org/0009-0001-5687-3463)
- Claude Loverdo (ORCID: https://orcid.org/0000-0002-0888-1717)
- Cecilia Fruet (ORCID: https://orcid.org/0009-0000-1260-0351)
Institutions
- SIB Swiss Institute of Bioinformatics (CH)
- Centre National de la Recherche Scientifique (FR)
- Sorbonne Université (FR)
- Laboratoire Jean Perrin (FR)
- Institut de Biologie Paris-Seine (FR)
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- Journal of Theoretical Biology
- Published
- 2024-12-19
- DOI
- https://doi.org/10.1016/j.jtbi.2024.112030
- Citations
- 5
- Primary Topic
- Evolutionary Game Theory and Cooperation
- Type
- article
- Field-Weighted Citation Impact
- 5.66
Funders
- Chan Zuckerberg Initiative
- Agence Nationale de la Recherche
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Horizon 2020 Framework Programme
- European Research Council
- Horizon 2020
- H2020 European Research Council