Summary
A procedure for genetic evaluation with field data is proposed for situations in which there is mixed major gene and polygenic inheritance and the major genotype membership of some or of all individuals is unknown. Location parameters (fixed environmental, major genotype and polygenic effects), major genotype frequencies and variance components are estimated by the modal values of joint and marginal posterior distributions. The method is described for continuous and discontinuous data as well as for univariate and multivariate evaluations. Results from a simulation study are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Berger JO (1985) Statistical decision theory and Bayesian analysis. Springer, Berlin Heidelberg New York Tokyo, 217 pp
Bonney GE (1984) On the statistical determination of major gene mechanisms in continuous human traits: Regressive models. Am J Med Genet 18: 731
Bonney GE (1986) Regressive logistic models for familial disease and other binary traits. Biometrics 42:611
Box GEP, Tiao GC (1973) Bayesian inference in statistical analysis. Addison-Wesley, Reading, Mass, 588 pp
Elston RC, Stewart J (1971) A general model for the genetic analysis of pedigree data. Hum Hered 21:523
Falconer DS (1965) The inheritance of liability to certain diseases estimated from the incidence among relatives. Ann Hum Genet 29:51
Foulley JL, Calomiti S, Gianola D (1982) Ecriture des équations du BLUP multicaractères. Genet Sel Evol 14:309
Foulley JL, Gianola D, Planchenault D (1986) Sire evaluation with uncertain paternity. Genet Sel Evol 19:83
Foulley JL, Gianola D, Im S (1987 a) Genetic evaluation of traits distributed as poisson binomial with reference to reproductive characters. Theor Appl Genet 17:870
Foulley JL, Gianola D, Im S, Hoeschele I (1987 b) Empirical Bayes estimation of parameters for n polygenic binary traits. Genet Sel Evol 19:197
Geysser S (1982) Bayesian Discrimination. In: Krishnaiah R, Kananl L (eds) Handbook of statistics, vol 2. Amsterdam, North-Holland, pp 101–120
Gianola D, Foulley JL (1983) Sire evaluation of ordered categorial data with a threshold model. Genet Sel Evol 15:201
Gianola D, Fernando RL (1986) Bayesian methods in animal breeding theory. J Anim Sci 63:217
Gianola D, Foulley JL, Fernando RL (1986) Prediction of breeding values when variances are not known. In: Dickerson GE, Johnson RK (eds) Proc 3rd World Congr Genet Appl Liv Prod Agric Commun. University of Nebraska, Lincoln, Neb, XII:356
Gianola D, Im S, Fernando RL, Foulley JL (1988) Mixed model methodology and the Box-Cox theory of transformations: A Bayesian approach. In: Gianola D, Hammond K (eds) Advances in statistical methods for genetic improvement of livestock. Springer, Berlin Heidelberg New York (in press)
Hanset R (1982) Major genes in animal production, examples and perspectives: cattle and pigs. In: 2nd World Congr Genet Appl Liv Prod, vol VI. Publicaciones Agrarias, Madrid (Spain), p 439
Harville DA, Mee RW (1984) A mixed model procedure for analyzing ordered categorial data. Biometrics 40:393
Henderson CR (1973) Sire evaluation and genetic trends. Proc Anim Breed Genet Symp in honor of Dr JL Lush, Blacksburg, Virginia, July 29, 1972, 10–41, ASAS-ADSA. Champaign, Ill
Hoeschele I (1988) Statistical techniques for detection of major genes in animal breeding data. Submitted to Theor Appl Genet
Hoeschele I, Foulley JL, Colleau JJ, Gianola D (1986) Genetic evaluation for multiple binary responses. Genet Sel Evol 18:299
Hoeschele I, Gianola D, Foulley JL (1987) Estimation of variance components with quasi-continuous data using Bayesian methods. J Anim Breed Genet 104:334
Kennedy NJ, Gentle JE (1980) Statistical computing. Marcel Dekker, New York Basel, 591 pp
Morton NE, McLean CJ (1974) Analysis of family resemblance. III. Complex segregation of quantitative traits. Am J Hum Genet 26:489
Roberts RC, Smith C (1982) Genes with large effects-theoretical aspects in livestock breeding. In: 2nd World Congr Genet Appl Liv Prod, vol VI. Publicaciones Agrarias, Madrid (Spain), p 420
Searle SR (1971) Linear models. Wiley and Sons, New York
Titterington DM, Smith AFM, Makov UE (1985) Statistical analysis of finite mixture distributions. Wiley and Sons, Chichester New York Brisbane Toronto Singapore, 243 pp
Author information
Authors and Affiliations
Additional information
Communicated by D. Van Vleck
Journal Paper No. J-12728 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 1901
Rights and permissions
About this article
Cite this article
Hoeschele, I. Genetic evaluation with data presenting evidence of mixed major gene and polygenic inheritance. Theoret. Appl. Genetics 76, 81–92 (1988). https://doi.org/10.1007/BF00288836
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00288836