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Genetics Selection Evolution

Open Access

Predicting observed and latent responses to BLUP selection involving logistic variates

Genetics Selection Evolution200032:265

Received: 19 May 1999

Accepted: 31 January 2000

Published: 15 May 2000


Multivariate BLUPs can be derived when data are a mixture of continuous traits and observed discrete traits controlled by logistic latent traits. Algorithms were developed for predicting discrete responses to BLUP selection, and latent responses when the selection process included additional culling on scores. These algorithms were Taylor expansions using well-known expressions such as the probabilities and the two first moments of the truncated multinormal distribution, after appropriate re-parametrizations. They were compared to very accurate quadrature integrations. The test examples were suggested by a situation found in chickens where selection can involve body weight and leg deformity described by two logistic latent variates. Quadratic Taylor expansions generally provided a good accuracy. Therefore, they could be recommended when quadrature methods are too demanding, e.g., for complex breeding schemes.



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Authors’ Affiliations

Station de génétique quantitative et appliquée, Institut national de la recherche agronomique, Jouy-en-Josas Cedex, France
Station de recherches avicoles, Institut national de la recherche agronomique, Nouzilly, France


© INRA, EDP Sciences 2000