Abstract
A mathematical relationship between the coefficient of gene diversity as derived from average single locus statistics and Smouse and Spielman's multi-locus measure is established under the assumption of linkage equilibrium in a substructured population. A formula for estimating the average time of split of subpopulations from such gene diversity is also derived for the multi-locus criterion. Unlike the estimate derived for single-locus criterion, this estimate does not explicitely depend on the number of subpopulations. The method is illustrated with data on allozyme studies from the South American Indian populations.