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A Simple Model to Deal with Sire by Treatment Interactions When Sires Are Related

Station de Genetique Quantitative and Appliquee, Institut National Recherche Agronomique, Jouy-en-Josas, 78350, France

C. R. Henderson¹

University of Illinois, Urbana 61801

ABSTRACT

The assumption that var(hs) =

is not valid when sires are related. A more logical assumption is that the variance is

. This result is derived from the use of an equivalent multiple-trait model. This procedure was extended to a more complicated model involving treatments and random herds within treatments. A small simulation trial demonstrated that

is underestimated if the

model is used when the true model should be

.

¹ Department of Animal Sciences.