Similarity to Jewish populations of linear combinations of pairs of populations. (a) The highest-ranking population pairs for each Jewish population according to the minimal allele-sharing genetic distance between the Jewish population and the most similar linear combination of the population pair. The Y-axis indicates the genetic distance to a Jewish population of each pair, measured using the most similar linear combination for the pair. (b) Genetic similarity to a Jewish population (one minus genetic distance) of a linear combination of two populations, as a function of the coefficients in the linear combination. For each Jewish population, the plot shows only the population pair with the most similar linear combination to the Jewish population. The coefficients of the linear combination that produced the greatest similarity were 0.44 and 0.56 for French and Palestinians as the highest-ranking pair of the Turkish Jews (similarity 0.8359), 0.45 and 0.55 for French and Palestinians as the highest-ranking pair of the Moroccan Jews (similarity 0.8240), 0.50 and 0.50 for French and Turkish Jews as the highest-ranking pair of the Ashkenazi Jews (similarity 0.8233), and 0.42 and 0.58 for Sardinians and Palestinians as the highest-ranking pair of the Tunisian Jews (similarity 0.8070).