Species with paternal care show less exaggerated sexual ornamentation
than those in which males do not care, although direct benefits from p
aternal care can vastly exceed the indirect benefits of mate choice. W
hether condition-dependent handicaps can signal parenting ability is c
ontroversial. The good-parent process predicts the evolution of honest
signals of parental investment, whereas the differential-allocation m
odel suggests a trade-off between the attractiveness of a mate and his
care-provisioning. I show that both alternatives can arise from optim
al allocations to advertisement, parental investment and future reprod
uctive value of the male, and that the male's marginal fitness gain fr
om multiple matings determines which option should apply. The marginal
gain is diminishing if opportunities for polygyny or extra-pair copul
ations are limited. Advertisement is then expected to be modest and ho
nest, indicating genetic quality and condition-dependent parental inve
stment simultaneously. Increasing marginal gains are likely to be rela
ted to cases where genetic quality has a significant influence on offs
pring fitness. This alternative leads to differential allocation with
stronger advertisement, more frequent extra-pair copulations, and dimi
nished male care. Reliability is also reduced if allocation benefits h
ave thresholds, e.g. if there is a minimum body condition required for
survival, or if females use a polygyny-threshold strategy of mate cho
ice.