Friday, September 17, 2021 - 09:00 in ZOOM - Video Conference
An analogue of Haldane's formula when the variance asymptotically is infinite
A talk in the Keine Reihe series by
Matthias Birkner
| Abstract: |
Haldane's classical formula approximates the fixation probability of a single beneficial allele with (small) selective advantage $s$ in a large haploid population as $2s/\sigma^2$, where $\sigma^2$ is the individual offspring variance. By contrast, we consider a family of models for populations of size $N$ where individual offspring numbers have tail exponent $-\alpha$ with $1<\alpha<2$, in particular, they have
(asymptotically as $N$ diverges) infinite variance. It turns out that then there is a regime where the fixation probability is proportional to $s^(1/(\alpha-1))$. We also investigate the time scale on which fixation occurs.
Based on work in progress with Iulia Dahmer and Bjarki Eldon.
Registration vi via email to popgen.conference@techfak.de
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