Redesigning Animal Agriculture

Infinitesimal Model
y = Xb + Z1u + e
2
Var(u) = Asu Henderson, 1975
Systems Biology
Dimension Reduction
y = Xb + Wα + e
W =
Cov(X) = KΛΛT T
KΛ X −½
Chiaromonte & Matinelli, 2002
(leukemia, humans)
Fig. 5.1. Diagrammatic representation of data integration approaches.
Precision Animal Breeding 77
Mixed-Inheritance Model
y = Xb + Z1u + Z2q + e
Fernando and Grossman, 1989
Many authors and species
NB: Segregation Variance Issues
Phenotype
+ Pedigree
Gene
(protein/metabolite)
Expression
ANOVA Model
y = Xb + Z3g + e
References
Phenotype
+ Marker
Cui and Churchill, 2003; Reverter et al., 2004, 2005a,b
ANOVA Model
y = Xb + Z 2q + e
Many authors and species
Segregation Analysis
IBD Probabilities
Henshall et al., 2001
Genetical Genomics
y = Xb + Z2q + e
Schadt et al., 2003 (mice)
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Barendse, W. (2005b) The transition from quantitative trait loci to diagnostic test in cattle and other livestock.
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Kessler, M., Kirkpatrick, B.W., Konfortov, B., Kostia, S., Kuhn, C., Martin Burriel, I., McGraw, R.A.,
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density genetic linkage map of the bovine Genome. Mammalian Genome 8, 21–28.
Beckman, J.S. and Soller, M. (1983) Restriction fragment length polymorphisms in genetic improvement:
methodologies, mapping and costs. Theoretical and Applied Genetics 67, 35–43.
Beckman, J.S. and Soller, M. (1988) Detection of linkage between marker loci and loci affecting quantitative
traits in crosses between segregating populations. Theoretical and Applied Genetics 76, 228–236.
Bishop, M.D., Kappes, S.M., Keele, J.W., Stone, R.T., Sunden, S.L.F., Hawkins, G.A., Salinas Toldo, S., Fries, R.,
Grosz, M.D., Yoo, J. and Beattie, C.W. (1994) A genetic linkage map for cattle. Genetics 136, 619–639.