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The Interpretation of Population Structure by F-Statistics with Special Regard to Systems of Mating

Sewall Wright
Evolution
Vol. 19, No. 3 (Sep., 1965), pp. 395-420
DOI: 10.2307/2406450
Stable URL: http://www.jstor.org/stable/2406450
Page Count: 26
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The Interpretation of Population Structure by F-Statistics with Special Regard to Systems of Mating
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Abstract

The general conclusion of part I is that the theoretical correlation between representatives of a locus in gametes, uniting or otherwise, relative to one or another array of such representatives (F-statistics), gives a broader basis for comparison of population structures, including progress in fixation, than does the alternative concept: the probability of identity of such representatives by origin. One reason is that correlations vary from -1 to +1 while probabilities vary only from 0 to +1. The probability concept gives, however, a very useful supplementary interpretation where applicable. The relation of the basic set of F-statistics, FIT, FIS, FST, to variances within populations is discussed in part II and applications to diverse patterns of population structure are reviewed (the island model with or without selective differences, isolation by distance in continuous populations under balancing of local inbreeding and dispersion, uniformly distributed clusters under a similar balance, selective clines, breeds of livestock). In part III, these F-statistics are applied to systems of mating in populations of given small size, in which consanguine mating is either avoided as much as possible, or pursued as much as is possible without any disruption of the group. The apparently paradoxical result obtained by Kimura and Crow that heterozygosis declines more rapidly under the former than under the latter is discussed from the standpoint of these statistics. These systems have been found to agree in one respect, the ultimate proportion of recombinant lines in the race between fixation and recombination among lines starting from double heterozygotes.

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