A marker-based method for studying quantitative genetic characters in
natural populations is presented and evaluated. The method involves re
gressing quantitative trait similarity on marker-estimated relatedness
between individuals. A procedure is first given for estimating the na
rrow sense heritability and additive genetic correlations among traits
, incorporating shared environments. Estimation of the actual variance
of relatedness is required for heritability, but not for genetic corr
elations. The approach is then extended to include isolation by distan
ce of environments, dominance, and shared levels of inbreeding. Invest
igations of statistical properties show that good estimates do not req
uire great marker polymorphism, but rather require significant variati
on of actual relatedness; optimal allocation generally favors sampling
many individuals at the expense of assaying fewer marker loci; when r
elatedness declines with physical distance, it is optimal to restrict
comparisons to within a certain distance; the power to estimate shared
environments and inbreeding effects is reasonable, but estimates of d
ominance variance may be difficult under certain patterns of relations
hip; and any linkage of markers to quantitative trait loci does not ca
use significant problems. This marker-based method makes possible stud
ies with long-lived organisms or with organisms difficult to culture,
and opens the possibility that quantitative trait expression in natura
l environments can be analyzed in an unmanipulative way.