Kolmogorov-Smirnov Test
Cumulative pairwise distribution curves for the Kolmogorov-Smirnov test

     Curves are given for the summary three-population model: SG+NL (Southern Gulf of St Lawrence + Newfoundland / Labrador Ice Front) versus GS (Greenland Sea) versus WS (White Sea). Within each population, all pairwise SNP differences among individuals are counted. The running count of differences up to any number of pairwise differences (X-axis) is plotted against the cumulative fraction of the total number of pairwise differences at that count (Y-axis). This gives a plot of the accumulation of differences over time.

    Curves for younger populations (cf. Greenland Sea) are displaced to the left and upward: most of the differences are relatively smaller and therefore achieved more recently. Curves for older populations (cf. White Sea) are displaced to the right and downward: most of the differences are relatively larger, and were established longer ago. The qualitative comparison of of the relative age of populations is their left-to-right order at a cumulative 50% of comparisons. The statistical test is a non-parametric Kolmogorov-Smirnov test of the maximum vertical offset of each pair of curves. In essence, the maximum is compared with the mean difference.

    Diversity in the Jan Mayen Is. population is youngest, consistent with its recovery from over-hunting in the early 20th century. Diversity in the White Sea population is the oldest, consistent with a long-term establishment. The Newfoundland / Gulf population is intermediate and smooth, indicating a steady increase in diversity since it's founding.


Figure © from Carr et al. 2015;Text © 2024 by Steven M Carr