On the fixation probability of an advantageous allele in a population with skewed offspring distribution
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916375817093120 |
|---|---|
| author | Birkner, Matthias Boenkost, Florin Dahmer, Iulia Pokalyuk, Cornelia |
| author_facet | Birkner, Matthias Boenkost, Florin Dahmer, Iulia Pokalyuk, Cornelia |
| contents | Consider an advantageous allele that arises in a haploid population of size $N$ evolving in continuous time according to a skewed reproduction mechanism, which generates under neutrality genealogies lying in the domain of attraction of a Beta$(2-α, α)$-coalescent for $α\in (1,2)$. We prove in a setting of moderate selection that the fixation probability $π_N$ of the advantageous allele is asymptotically equal to $α^{1/(α-1)} s_N^{1/(α-1)} $ , where $s_N$ is the selection strength of the advantageous allele. Our proof uses duality with a suitable $Λ$-ancestral selection graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09045 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the fixation probability of an advantageous allele in a population with skewed offspring distribution Birkner, Matthias Boenkost, Florin Dahmer, Iulia Pokalyuk, Cornelia Probability Primary: 60J95, Secondary: 60J28, 92D15, 60J90 Consider an advantageous allele that arises in a haploid population of size $N$ evolving in continuous time according to a skewed reproduction mechanism, which generates under neutrality genealogies lying in the domain of attraction of a Beta$(2-α, α)$-coalescent for $α\in (1,2)$. We prove in a setting of moderate selection that the fixation probability $π_N$ of the advantageous allele is asymptotically equal to $α^{1/(α-1)} s_N^{1/(α-1)} $ , where $s_N$ is the selection strength of the advantageous allele. Our proof uses duality with a suitable $Λ$-ancestral selection graph. |
| title | On the fixation probability of an advantageous allele in a population with skewed offspring distribution |
| topic | Probability Primary: 60J95, Secondary: 60J28, 92D15, 60J90 |
| url | https://arxiv.org/abs/2310.09045 |