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Volume 46, issue 1
Arch. Anim. Breed., 46, 85–91, 2003
https://doi.org/10.5194/aab-46-85-2003
© Author(s) 2003. This work is distributed under
the Creative Commons Attribution 3.0 License.
Arch. Anim. Breed., 46, 85–91, 2003
https://doi.org/10.5194/aab-46-85-2003
© Author(s) 2003. This work is distributed under
the Creative Commons Attribution 3.0 License.

  10 Oct 2003

10 Oct 2003

An algorithm for genetic variance estimation of reproductive traits under a threshold model

K. Molinski1, M. Szydlowski2, T. Szwaczkowski2, A. Dobek1, and E. Skotarczak1 K. Molinski et al.
  • 1Department of Mathematical and Statistical Methods, August Cieszkowski Agricultural University of Pozna, Wojska Polskiego 28 str., 60-637 Pozna, Poland
  • 2Department of Genetics and Animal Breeding, August Cieszkowski Agricultural University of Pozna, Wołyńska 33 str., 60-637 Pozna, Poland

Abstract. Some binary traits are determined by a large number of loci. The standard approach, in this case, is to model an unobservable variable (liability) with a fixed threshold. We present a method for the estimation of the genetic additive variance component under a threshold animal model with fixed effects included. The method can be applied to data with repeated measurement per animal. The unknown parameters of the model have been estimated by Gibbs sampling. The numerical properties of the method are investigated on simulated data for a large real pedigree of breeding stock of laying hens. The algorithm shows good mixing properties, producing consistent estimates from many distinct runs. The application of the method is exemplified on fertility data recorded for the same pedigree.

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