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Computing connectedness among management groups under an animal model

Published online by Cambridge University Press:  24 November 2017

R.A. Mrode
Affiliation:
Milk Marketing Board, Thames Ditton, Surrey, KT7 0EL
G.J.T. Swanson
Affiliation:
Milk Marketing Board, Thames Ditton, Surrey, KT7 0EL
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Extract

In any genetic evaluation procedure connectedness among animals in different management groups (herds) is important in order to account for genetic differences among management groups. Kennedy and Trus (1991) mentioned that under an animal model (IAM), connections occur through the relationship matrix (A). They showed that connectedness can be measured in terms of the proportionate contribution of genes from one herd to the other. This is achieved by computing X1ZTQ, where X and Z are matrices that assign records to herds and animals respectively, Q a matrix that assigns ancestors of animals with records to a single genetic group and T is a lower triangular matrix derived from A, such that A = TDT1 , with D a diagonal matrix. In practice the calculation of T may not be feasible with large number of animals because of memory requirements.

Type
Dairy Production
Copyright
Copyright © The British Society of Animal Production 1992

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References

Kennedy, B.W. and Trus, D (1991) measures of connectedness among management units under an animal model. J. Daily Sci 74: 159 (Suppl.l)Google Scholar
Mrode, R.A., Swanson, G J.T. and Bellamy, H.J., (1992) Genetic parameters and trends for production traits in Jersey Island heifers. British Soc. Anim. Prod. Proc. Winter 1991 (In press)Google Scholar