Table 1.

Comparison of exact solution (E) for the variances of population gene frequencies in a 10-stone stepping-stone model for n = 10, m_∞ = 0.001, m = 0.1, N = 25, and p̄ = 0.2 with the approximations of this paper (F1 and F2), Maruyama's reflecting-boundary approximation (M), and Fleming and Su's (1974) approximation. 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 symmetrical, only the values for populations 1-5 are shown.

population	E	F1	F2	M	FS
1	0.1281	0.1046	0.0961	0.0982	0.0811
2	0.1161	0.0946	0.0922	0.0928	0.0720
3	0.1121	0.0877	0.0892	0.0879	0.0665
4	0.1107	0.0834	0.0872	0.0857	0.0634
5	0.1103	0.0814	0.0862	0.0846	0.0619