By Mrode, R. (Eds.)
This publication includes 17 chapters that describe using statistical analyses and types to estimate, examine and evaluate the genetic parameters, breeding price and function characteristics of cattle. every one bankruptcy comprises the theories and genuine program of the techniques. The ebook has been compiled from quite a few courses and event within the topic sector and from involvement in numerous nationwide review schemes over the past 14 years. appropriate references are integrated to point resources of a few of the fabrics. to be had In Print
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Additional info for Linear models for the prediction of animal breeding values
3. The MME can account for selection if based on a linear function of y (Henderson, 1975) and there is no selection on information not included in the data. The use of these MME for the prediction of breeding values and estimation of fixed effects under an animal model is presented in the next section. 1 for the pre-weaning gain (WWG) of beef calves (calves assumed to be reared under the same management conditions). The objective is to estimate the effects of sex and predict breeding values for all 40 = 2.
4) Note that the MME may not be of full rank, usually due to dependency in the coefficient matrix for fixed environmental effects. 6). 3) are usually of full rank since V is usually positive definite and Xb is invariant to the choice of constraint. 2. The solutions to the MME give the BLUE of k′b and 36 Chapter 3 BLUP of a under certain assumptions, especially when data span several generations and may be subject to selection. These assumptions are: 1. 2). With the infinitesimal model, changes in genetic variance resulting from selection, such as gametic disequilibrium (negative covariance between frequencies of genes at different loci), or from inbreeding and genetic drift, are accounted for in the MME through the inclusion of the relationship matrix (Sorensen and Kennedy, 1983), as well as assortative mating (Kemp, 1985).
Note that in calculating n2(j), it has been assumed that progeny j has no offspring. 2. 167. This is different from the breeding value reported from solving the MME as the granddaughter information (calf 7) has not been included. 3 Accuracy of evaluations The accuracy (r) of predictions is the correlation between true and predicted breeding values. However, in dairy cattle evaluations, the accuracy of evaluations is usually expressed in terms of reliability, which is the squared correlation between true and predicted breeding values (r 2).