2001
DOI: 10.1017/s0016672301005079
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Minimization of rate of inbreeding for small populations with overlapping generations

Abstract: SummaryWe propose a method that minimizes the rate of inbreeding (∆F ) for small unselected populations with overlapping generations and several reproductive age classes. It minimizes the increase in coancestry of parents and optimizes the contribution of each selection candidate. The carrying capacity of the population is limited to a fixed number of animals per year. When survival rate equalled 100 %, only animals from the oldest age class were selected, which maximized the number of parents per generation, … Show more

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Cited by 60 publications
(70 citation statements)
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References 17 publications
(16 reference statements)
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“…Simianer, 2005). Therefore, it would be indispensable to apply breeding strategies such as optimum contribution selection (Jean-Jacques et al, 2004;Hinrichs et al, 2006), minimizing inbreeding and maximizing genetic diversity (Sonesson and Meuwissen, 2001;Ferná ndez et al, 2003;Haile-Mariam et al, 2007) in each Guernsey population, with an urgent attention needed to maintain genetic diversity of the GCN and GUS populations.…”
Section: Discussionmentioning
confidence: 99%
“…Simianer, 2005). Therefore, it would be indispensable to apply breeding strategies such as optimum contribution selection (Jean-Jacques et al, 2004;Hinrichs et al, 2006), minimizing inbreeding and maximizing genetic diversity (Sonesson and Meuwissen, 2001;Ferná ndez et al, 2003;Haile-Mariam et al, 2007) in each Guernsey population, with an urgent attention needed to maintain genetic diversity of the GCN and GUS populations.…”
Section: Discussionmentioning
confidence: 99%
“…What happens computationally is that the Lagrangian multiplier, λ 0 , becomes zero when all animals have the same EBV and the equations for the optimal contributions cannot be solved (since they require dividing by λ 0 ). If this was the case, the simulation program called the minimisation routine presented in [22], which was modified here to handle discrete generations.…”
Section: Optimum Contribution Selection Methods (Oc)mentioning
confidence: 99%
“…Irrespective of the size of a breeding program, GS will have less buildup of inbreeding over time because the strategy can explain some of the variation due to Mendelian sampling hence minimize co-selection of siblings (Daetwyler et al, 2007). In addition, accumulation of inbreeding can be minimized by increasing the nucleus size and minimizing co-ancestry in the parents (Meuwissen, 1997;Sonesson and Meuwissen, 2001). Increasing the nucleus size with GS is relatively easier than with PT because an increase in nucleus size for PT must be accompanied by an increase in the size of the CRC population.…”
Section: Practical Considerationsmentioning
confidence: 99%