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Rare events and stochastic tunneling in a two-locus system with recombination | | Alexander Altland
; Andrej Fischer
; Joachim Krug
; Ivan G. Szendro
; | | Date: |
8 Dec 2010 | | Abstract: | We study the evolution of a population in a two-locus genotype space, in
which the negative effects of two single mutations are overcompensated in a
high fitness double mutant. We discuss how the interplay of finite population
size, $N$, and sexual recombination at rate $r$ affects the escape times
$t_mathrm{esc}$ to the double mutant. For small populations demographic noise
generates massive fluctuations in $t_mathrm{esc}$. The mean escape time varies
non-monotonically with $r$, and grows exponentially as $ln t_{mathrm{esc}}
sim N(r - r^ast)^{3/2}$ beyond a critical value $r^ast$. | | Source: | arXiv, 1012.1808 | | Services: | Forum | Review | PDF | Favorites | |
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