In a series of papers, alternative models for QTL detection in livestock ar
e proposed and their properties evaluated using simulations. This first pap
er describes the basic model used, applied to independent half-sib families
, with marker phenotypes measured for a two or three generation pedigree an
d quantitative trait phenotypes measured only for the last generation. Hypo
theses are given and the formulae for calculating the likelihood are fully
described. Different alternatives to this basic model were studied, includi
ng variation in the performance modelling and consideration of full-sib fam
ilies. Their main features are discussed here and their influence on the re
sult illustrated by means of a numerical example. (C) Inra/Elsevier, Paris.