Making decisions about the optimal selection environment using Gibbs sampling

D.P. Gwaze, John Woolliams

Research output: Contribution to journalArticlepeer-review

Abstract

The use of Gibbs sampling in making decisions about the optimal selection environment was demonstrated. Marginal posterior distributions of the efficiency of selection across sites were obtained using the Gibbs sampler, a Bayesian method, from which the probability that the efficiency of selection lay between specified values and the variance of the distribution were computed, providing a lot of information on which to make decisions regarding the location of genetic tests. The heritability, genetic correlations and efficiencies of selection estimated using REML and Gibbs sampling were similar. However, the latter approach showed that the point estimates of the efficiencies of selection were subject to substantial error. The decision regarding selection at maturity was consistent with that obtained using point estimates from REML, but Gibbs sampling allowed the efficiencies of selection to be interpreted with more confidence. The decision regarding early selection differed from that based on REML point estimates. Generally, the decisions to make early selections at site B for planting at both site B and A, and to make selections at maturity at each individual site, were robust to different priors in the Gibbs sampling.
Original languageUndefined/Unknown
Pages (from-to)63-69
Number of pages7
JournalTAG Theoretical and Applied Genetics
Volume103
Issue number1
Publication statusPublished - 2001

Keywords

  • Gibbs sampling REML Bayesian analysis selection efficiency bayesian-analysis litter size pine age models

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