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Logo of gseBioMed CentralBiomed Central Web Sitesearchsubmit a manuscriptregisterthis articleGenetics, Selection, Evolution : GSEJournal Front Page
 
Genet Sel Evol. 2005; 37(1): 57–81.
Published online Jan 15, 2005. doi:  10.1186/1297-9686-37-1-57
PMCID: PMC2697247
The advantage of factorial mating under selection is uncovered by deterministically predicted rates of inbreeding
Anders Christian Sørensen,corresponding author1,2,3 Peer Berg,2 and John A Woolliams1
1Roslin Institute (Edinburgh), Roslin, Midlothian, EH25 9PS, UK
2Department of Animal Breeding and Genetics, Danish Institute of Agricultural Science, PO Box 50, 8830 Tjele, Denmark
3Department of Large Animal Sciences, Royal Veterinary and Agricultural University, Ridebanevej 12, 1870 Frederiksberg C, Denmark
corresponding authorCorresponding author.
Anders Christian Sørensen: AndersC.Sorensen/at/agrsci.dk
Received October 14, 2003; Accepted August 18, 2004.
Abstract
Rates of inbreeding (ΔF) in selected populations were predicted using the framework of long-term genetic contributions and validated against stochastic simulations. Deterministic predictions decomposed ΔF into four components due to: finite population size, directional selection, covariance of genetic contribution of mates, and deviation of variance of family size from that expected from a Poisson distribution. Factorial (FM) and hierarchical (HM) mating systems were compared under mass and sib-index selection. Prediction errors were in most cases for ΔF less than 10% and for rate of gain less than 5%. ΔF was higher with index than mass selection. ΔF was lower with FM than HM in all cases except random selection. FM reduced the variance of the average breeding value of the mates of an individual. This reduced the impact of the covariance of contributions of mates on ΔF. Thus, contributions of mates were less correlated with FM than HM, causing smaller deviations of converged contributions from the optimum contributions. With index selection, FM also caused a smaller variance of number of offspring selected from each parent. This reduced variance of family size reduced ΔF further. FM increases the flexibility in breeding schemes for achieving the optimum genetic contributions.
Keywords: mating system, inbreeding, selection, prediction, genetic contribution
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