For neutral, additive quantitative characters, the amount of additive genetic variance within and
among populations is predictable from Wright's FST, the effective population size and the
mutational variance. The structure of quantitative genetic variance in a subdivided metapopulation
can be predicted from results from coalescent theory, thereby allowing single-locus results to
predict quantitative genetic processes. The expected total amount of additive genetic variance in a
metapopulation of diploid individual is given by 2Neσ2m
(1 + FST), where FST is Wright's among-population fixation index, Ne is the eigenvalue effective size of the metapopulation, and σ2m is the
mutational variance. The expected additive genetic variance within populations is given by
2Neσ2e(1 − FST),
and the variance among demes is given by
These results are general with respect to the types of population structure involved.
Furthermore, the dimensionless measure of the quantitative genetic variance among populations,
QST, is shown to be generally equal to FST for
the neutral additive model. Thus, for all population structures, a value of QST greater than FST for
neutral loci is evidence for spatially divergent evolution by natural selection.