Short communication: Recursive model approach to traits defined as ratios: Genetic parameters and breeding values |
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Authors: | J Jamrozik J Johnston PG Sullivan F Miglior |
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Affiliation: | 2. Centre for Genetic Improvement of Livestock, Department of Animal Biosciences, University of Guelph, Guelph, Ontario, Canada, N1G 2W1 |
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Abstract: | A novel method for analysis of ratio traits (Y2/Y1) is proposed. Utilizing a recursive modeling approach, a proxy for Y2/Y1 can be postulated as Y2 – λ × Y1 (i.e., Y2 adjusted for the effect of Y1), where λ is a structural parameter describing an effect of change in phenotype of Y2 caused by the phenotype of Y1. Estimates of parameters (direct effect parameters) for the recursive model Y1 → Y2 can be derived from parameters of an equivalent 2-trait mixed effects model for Y1 and Y2, using linear (location) and quadratic (dispersion) transformations. The method is illustrated with an application for milk fat (protein) content, calculated as a ratio of fat (protein) and milk yields (kg), in the context of genetic parameters estimation and genetic evaluation via the Canadian test-day model for production traits. Results indicated the potential usefulness of the proposed approach for analysis of any Y2/Y1 (or Y2 adjusted for the effect of Y1) type of trait utilizing standard multiple-trait modeling techniques for Y1 and Y2. |
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Keywords: | genetic parameters ratio traits recursive model |
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