Worldwide pattern of multilocus structure in barley determined by discrete log-linear multivariate analyses

Abstract

Data from the electrophoretic assay for seven enzyme loci of 1,032 accessions of cultivated barley, Hordeum vulgare L., from the USDA world barley collection were analyzed for multilocus structure using discrete log-linear multivariate techniques. Three major steps were involved in the analysis: (i) identification and elimination of terms that have inconsequential effects in multilocus association; (ii) construction of a log-linear model that best describes the complete multilocus structure of the genetic system; and (iii) evaluation of each of the association terms included in the model. The results of analyses of two subsets of loci show that the multilocus genetic system of cultivated barley, including loci located on different chromosomes, is organized into hierarchically structured complexes of loci. Multilocus structure differs in various geographical regions of the world. The structure of barleys from Southwest Asia, the putative center of origin for cultivated barley, is intermediate for both subsets of loci. Differences increased progressively across the Eurasian-African landmasses in each direction with increasing distance from Southwest Asia, with the consequence that the barleys from West Europe, East Asia, and Ethiopia are maximally different from those of Southwest Asia and Middle South Asia.