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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 4.

Exact solution and two approximations for the correlations of population gene frequencies for n = 10, m∞ = 0.001, m = 0.1, N = 25, and pĖ„ = 0.2. Within each nondiagonal cell, the uppermost value is the exact solution, the next two values our F1 and F2 approximations, and the lower value is Maruyama's reflecting-boundary approximation, from Table 4 of his 1970b paper.

1 2 3 4 5 6 7 8 9 10
1 1.0
2 0.9292 1.0
0.9286
0.9290
0.9410
3 0.8607 0.9223 1.0 Exact
0.8600 0.9223 F1
0.8611 0.9225 F2
0.8795 0.9264 M
4 0.7931 0.8499 0.9171 1.0
0.7924 0.8499 0.9174
0.7940 0.8504 0.9175
0.8175 0.8586 0.9209
5 0.7287 0.7808 0.8424 0.9139 1.0
0.7279 0.7807 0.8428 0.9144
0.7297 0.7814 0.8430 0.9144
0.7541 0.7928 0.8496 0.9177
6 0.6690 0.7167 0.7731 0.8386 0.9128 1.0
0.6679 0.7164 0.7734 0.8392 0.9134
0.6696 0.7170 0.7736 0.8392 0.9134
0.6971 0.7315 0.7834 0.8455 0.9166
7 0.6152 0.6589 0.7106 0.7705 0.8386 0.9139 1.0
0.6136 0.6581 0.7105 0.7709 0.8392 0.9144
0.6149 0.6585 0.7106 0.7709 0.8392 0.9144
0.6427 0.6756 0.7233 0.7804 0.8455 0.9177
8 0.5676 0.6080 0.6555 0.7106 0.7731 0.8424 0.9171 1.0
0.5655 0.6065 0.6548 0.7105 0.7734 0.8428 0.9174
0.5662 0.6066 0.6548 0.7106 0.7736 0.8430 0.9175
0.5974 0.6268 0.6709 0.7233 0.7834 0.8496 0.9209
9 0.5265 0.5639 0.6080 0.6589 0.7167 0.7808 0.8499 0.9223 1.0
0.5238 0.5618 0.6065 0.6581 0.7164 0.7807 0.8499 0.9223
0.5240 0.5618 0.6066 0.6585 0.7170 0.7814 0.8504 0.9225
0.5571 0.5855 0.6268 0.6756 0.7315 0.7928 0.8586 0.9264
10 0.4916 0.5265 0.5676 0.6152 0.6690 0.7287 0.7931 0.8607 0.9292 1.0
0.4883 0.5238 0.5655 0.6136 0.6679 0.7279 0.7924 0.8600 0.9286
0.4883 0.5240 0.5662 0.6149 0.6696 0.7297 0.7940 0.8611 0.9290
0.5321 0.5571 0.5974 0.6427 0.6971 0.7541 0.8175 0.8795 0.9410