M. Dorendorf et al., INFLUENCE OF LONG-TERM SELECTION AND EFFECTIVE POPULATION-SIZE IN VARIANCE COMPONENT ESTIMATION - COMPARISION OF 3 MODELS WITH SIMULATED DATA, Archiv fur Tierzucht, 41(5), 1998, pp. 505-514
For a concrete data set the variance components can not be estimated w
ith an animal model, because the individual phenotypic values can not
be assigned uniquely to the animals within a full-sib group. The sire
dam model and the random animal model are two potential models for var
iance component estimation. At the random animal model the measured ph
enotypic values are assigned randomly to the animals within a full-sib
group. Then the variance components are estimated by an animal model.
On simulated data sets the influence of long term selection and effec
tive population size on the estimations with different models are inve
stigated. The animal model is used for comparison. The variance compon
ent estimation of this model (means over 50 replications, Ne=20,40,80)
is independent of the population size and the number of generations.
For a small population size (Ne less than or equal to 80) and long ter
m selection a good conformity is shown between random animal model and
animal model, where the difference increases when effective populatio
n size increases and the difference decreases when the number of gener
ations increases. The random animal model shows a better conformity wh
en selection is going on over 20 and more generations for all variance
components with an animal model than sire dam model does. These advan
tages will become smaller or gets lost when effective population size
increases for all variance components except environmental variance.