Abstract
AbstractWe 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.
Publisher
Cold Spring Harbor Laboratory
Reference29 articles.
1. R.A. Fisher . The genetical theory of natural selection. Oxford: Clarendon, 1930.
2. Evolution in mendelian populations
3. J.F. Crow and M. Kimura . An introduction to population genetics theory. New York, Evanston and London: Harper and Row, 1970.
4. W.J. Ewens . Mathematical Population Genetics 1: I. Theoretical Introduction. Springer Science and Business Media, 2004.
5. S. Karlin and H. M. Taylor . A Course in Stochastic Processes. Wiley, New York, NY, 1980.