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Covariance functions and random regression models for cow weight in beef cattle
J A Arango1, L V Cundiff, L D Van Vleck
1Department of Animal Science, University of Nebraska, Lincoln 68583-0908, USA.
Journal of Animal Science
|February 3, 2004
Summary
Covariance function-random regression models accurately estimated cow weights, revealing increasing variances with age. These models offer a better approximation for predicting additive genetic effects in cattle breeding programs.
Area of Science:
- Animal Breeding and Genetics
- Quantitative Genetics
- Statistical Genetics
Background:
- Accurate estimation of genetic parameters for traits like body weight is crucial for effective selection in beef cattle.
- Traditional repeatability models may not fully capture the complex age-related changes in variance and covariance of cow weights.
Purpose of the Study:
- To evaluate cow weights using covariance function-random regression models (CF-RRM) to better understand genetic and environmental influences across different ages.
- To compare the performance of CF-RRM with traditional bivariate and repeatability models for estimating genetic parameters.
Main Methods:
- Analysis of 61,798 cow weights from Angus, Hereford, and F1 crosses using REML and CF-RRM with Legendre polynomials.
- Modeling fixed effects (age, season, year, pregnancy) and random effects (additive genetic, permanent environmental) for regression coefficients.
- Investigating different orders of polynomial fit for random regression coefficients and modeling temporary environmental effects for variance heterogeneity.
Main Results:
- Estimates of all variances increased with age, and results for older ages differed from traditional bivariate models.
- Heritability estimates ranged from 0.38 to 0.78, showing fluctuations, particularly at extreme ages.
- Genetic correlations were generally high, with the lowest estimate (0.70) between the most extreme ages.
Conclusions:
- CF-RRM provide a more flexible and accurate approach than repeatability models for analyzing cow weights across ages.
- While CF-RRM are superior, a repeatability model may serve as a practical approximation for predicting additive genetic effects in breeding programs.
- The findings highlight the importance of age-specific genetic parameter estimation for optimizing selection strategies in beef cattle.