Multivariate analysis of genetic variation

Abstract

Multiple factor analysis was used to interpret geographical variation of gene frequencies. Allelic frequencies at three loci (two esterase loci, Esr and Esh, and a malic dehydrogenase locus) from ants (Pogonomyrmex barbatus) collected throughout Texas and reported by Johnsonet al. (1969) were reexamined for patterns of correlation with five environmental measurements: mean January temperature, mean July temperature, mean annual precipitation, elevation, and annual growing season. These measurements and the associated gene frequencies at each sampling location were subjected to factor analysis. Variables highly correlated with the same factor were hypothesized to be causally related. Both orthogonal and oblique rotations of the factor solution provided four factors with essentially the same interpretation. Variation at the Esh locus was associated with a continuum from cold-wet to hot-dry. Variation at the Mdh locus and some of that at the Esr locus was related to the severity of winter months. Other allelic frequencies at the Esr locus had high correlations with a third factor which seemed to be independent of the environmental measurements. None of the allelic frequencies had high correlations with the fourth factor which was interpretable as an altitudinal gradient.