This paper is only available as a PDF. To read, Please Download here.
Abstract
Models for BLUP of matings under a nonadditive genetic model were derived for two equivalent models. These models were, first, an animal model with missing data on dams and, second, a sire-maternal grandsire model. The second model results in a marked decrease in the order of the mixed model equations and produces predictions identical to those of the animal model. The sire-maternal grandsire model first predicts merits of mating groups. Then a back solution can be used to predict individuals within mating groups. Also, minimum variance quadratic unbiased estimation for the sire-maternal grandsire model was found to produce the same estimates as those obtained employing the animal model for minimum variance quadratic unbiased estimation.
References
- Specific combining abilities among dairy sires.J. Dairy Sci. 1965; 48: 1096
- Mate selection by selection index theory.Theor. Appl. Genet. 1980; 57: 267
- An extension of the concept of partitioning hereditary covariance for analyses of covariance among selections when epistasis is present.Genetics. 1954; 39: 859
- Estimation of changes in herd environment.J. Dairy Sci. 1949; 32 (Abstr.): 706
- Best linear unbiased predictions of breeding values not in the model for records.J. Dairy Sci. 1977; 60: 783
- ANOVA, MIVQUE, REML, and ML algorithms for estimation of variances and covariances. Statistics: An appraisal.in: David H.A. David H.T. Proc. 50th Anniv. Conf. Iowa State Univ. Press, Ames1984
- Best linear unbiased prediction of nonadditive genetic merits in noninbred populations.J. Anim. Sci. 1984; 60: 111
- MIVQUE and REML estimation of additive and nonadditive genetic variances.J. Anim. Sci. 1985; 61: 113
- Equivalent linear models to reduce computations.J. Dairy Sci. 1985; 68: 2267
- Mixed model methodology for farm and ranch beef cattle testing programs.J. Anim. Sci. 1980; 51: 1277
- Minimum variance quadratic unbiased estimation of variance components.J. Multivar. Anal. 1971; 2: 445
- Coefficients of inbreeding and relationship.Am. Nat. 1922; 56: 330
Article info
Publication history
Accepted:
February 14,
1989
Received:
October 6,
1988
Identification
Copyright
© 1989 American Dairy Science Association. Published by Elsevier Inc.
User license
Elsevier user license | How you can reuse
Elsevier's open access license policy

Elsevier user license
Permitted
For non-commercial purposes:
- Read, print & download
- Text & data mine
- Translate the article
Not Permitted
- Reuse portions or extracts from the article in other works
- Redistribute or republish the final article
- Sell or re-use for commercial purposes
Elsevier's open access license policy