Haldane’s formula in Cannings models: the case of moderately strong selection
- For a class of Cannings models we prove Haldane’s formula, π(sN)∼2sNρ2, for the fixation probability of a single beneficial mutant in the limit of large population size N and in the regime of moderately strong selection, i.e. for sN∼N−b and 0<b<1/2. Here, sN is the selective advantage of an individual carrying the beneficial type, and ρ2 is the (asymptotic) offspring variance. Our assumptions on the reproduction mechanism allow for a coupling of the beneficial allele’s frequency process with slightly supercritical Galton–Watson processes in the early phase of fixation.
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| Author: | Florin Boenkost, Adrián González Casanova SoberónORCiDGND, Cornelia Pokalyuk, Anton WakolbingerGND |
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| URN: | urn:nbn:de:hebis:30:3-590279 |
| DOI: | https://doi.org/10.1007/s00285-021-01698-9 |
| ISSN: | 1432-1416 |
| ISSN: | 0303-6812 |
| Parent Title (German): | Journal of Mathematical Biology |
| Publisher: | Springer |
| Place of publication: | Berlin ; Heidelberg ; New York |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/12/06 |
| Date of first Publication: | 2021/12/06 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2022/03/17 |
| Tag: | Branching process approximation; Cannings model; Directional selection; Probability of fixation |
| Volume: | 83 |
| Issue: | 70 |
| Page Number: | 31 |
| HeBIS-PPN: | 494723807 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung 4.0 |
