Figure 2.

The mean $A\left(K\right)$ of the upper bound on $F_{\mathrm{ST}}$ over the interval $M\in \left[1/2,1\right),$ as a function of the number of subpopulations K. $A\left(K\right)$ is computed from Equation 8 (black line). The approximation $\stackrel{\sim }{A}\left(K\right)$ is computed from Equation 9 (gray dashed line). A numerical computation of the relative error of the approximation as a function of K, $\left|A\left(K\right)-\stackrel{\sim }{A}\left(K\right)\right|/A\left(K\right),$ finds that the maximal error for $2\le K\le 1000$ is 0.00174, achieved when $K=2.$ The x-axis is plotted on a logarithmic scale.