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Implementation of a Bayesian analysis of a selection experiment is illustrated using litter size [total number of piglets born (TNB)] in Danish Yorkshire pigs. Other traits studied include average litter weight at birth (WTAB) and proportion of piglets born dead (PRBD). Response to selection for TNB was analyzed with a number of models, which differed in their level of hierarchy, in their prior distributions, and in the parametric form of the likelihoods. A model assessment study favored a particular form of an additive genetic model. With this model, the Monte Carlo estimate of the 95% probability interval of response to selection was (0.23; 0.60), with a posterior mean of 0.43 piglets. WTAB showed a correlated response of −7.2 g, with a 95% probability interval equal to (−33.1; 18.9). The posterior mean of the genetic correlation between TNB and WTAB was −0.23 with a 95% probability interval equal to (−0.46; −0.01). PRBD was studied informally; it increases with larger litters, when litter size is &amp;gt;7 piglets born. A number of methodological issues related to the Bayesian model assessment study are discussed, as well as the genetic consequences of inferring response to selection using additive genetic models.

Bayesian Analysis of Response to Selection: A Case Study Using Litter Size in Danish Yorkshire Pigs