Fig. 1.

Graphical representation of the linear-logit approximation scheme in the single-locus case. Properly rescaled moments of a certain order can be used to approximate moments of higher order. a) Moments of the Beta distribution with α = β = 0.1 for order n = 30, 31, and 32. The x-axis shows respective frequency of A alleles in the sample represented by the respective moment. b) Same moments as panel (a), but only frequencies between 0.2 and 0.8 are shown to highlight the differences and the decreasing trend. c) The moments for order n = 30 and n = 31 are rescaled by $\frac{31}{33}$ and $\frac{32}{33}$, respectively and approximate the moments for n = 32 well. d) Performing approximations in the logit-space increases the resolution near zero.