A method of finding the optimal selected proportions within large indi
vidual families s derived. The method identifies family contributions
which maximize genetic gain at a given diversity and selected proporti
on (or rather suggests an optimum combination of these three entities)
. The population considered is a number of large unrelated families wi
th normal within-family variation. The optimally selected proportion o
f members from a family is dependent on the average breeding value of
the family, the average selected proportion, the diversity, the herita
bility and the intraclass correlation for the family type. A numerical
example is given.