Parents often have important influences on their offspring's traits an
d/or fitness (i.e., maternal or paternal effects). When offspring fitn
ess is determined by the joint influences of offspring and parental tr
aits, selection may favor particular combinations that generate high o
ffspring fitness. We show that this epistasis for fitness between the
parental and offspring genotypes can result in the evolution of their
joint distribution, generating genetic correlations between the parent
al and offspring characters. This phenomenon can be viewed as a coadap
tive process in which offspring genotypes evolve to function with the
parentally provided environment and, in turn, the genes for this envir
onment become associated with specific offspring genes adapted to it.
To illustrate this point, we present two scenarios in which selection
on offspring alone alters the correlation between a maternal and an of
fspring character. We use a quantitative genetic maternal effect model
combined with a simple quadratic model of fitness to examine changes
in the linkage disequilibrium between the maternal and offspring genot
ypes. In the first scenario, stabilizing selection on a maternally aff
ected offspring character results in a genetic correlation that is opp
osite in sign to the maternal effect. In the second scenario, directio
nal selection on an offspring trait that shows a nonadditive maternal
effect can result in selection for positive covariances between the tr
aits. This form of selection also results in increased genetic variati
on in maternal and offspring characters, and may, in the extreme case,
promote host-race formation or speciation. This model provides a poss
ible evolutionary explanation for the ubiquity of large genetic correl
ations between maternal and offspring traits, and suggests that this p
attern of coinheritance may reflect functional relationships between t
hese characters (i.e., functional integration).