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. Author manuscript; available in PMC: 2016 Jun 23.
Published in final edited form as: Theor Popul Biol. 2014 Dec 23;100C:88–97. doi: 10.1016/j.tpb.2014.12.004

Table 3.

Comparison of exact solution (E) for the variances of population gene frequencies in a 100-stone stepping-stone model for n = 100, m = 0.001, m = 0.1, N = 250, and = 0.2 with the approximations of this paper (F1 and F2). Approximation F1 uses the value of σ2 averaged over all populations. Approximation F2 uses a value of σ2 calculated for that population. As the migration pattern is symmetric, only values for the first half of the lattice are shown.

population E F1 F2
1 0.01900 0.01968 0.01870
2 0.01691 0.01744 0.01679
3 0.01534 0.01575 0.01532
4 0.01416 0.01447 0.01419
5 0.01328 0.01351 0.01333
10 0.01126 0.01139 0.01129
20 0.01066 0.01061 0.01066
30 0.01062 0.01057 0.01062
40 0.01062 0.01057 0.01062
50 0.01062 0.01057 0.01062