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The Behaviour of F-statistics over Time

Li, S.; Wiuf, C.

2022-08-26 genetics
10.1101/2022.08.25.505252 bioRxiv
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We study the behaviour of the F2-statistic and Fst-statistic, respectively, over time in a Wright-Fisher model with mutation and migration. We give precise conditions for when the F2-statistic is non-monotonic, that is, increases over time until a certain point and then starts decreasing. We show that even for small population sizes, the two statistics are well approximated by population size scaled expressions.

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