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Use of the numerator relationship matrix in genetic analysis of autopolyploid species
Citation
Kerr, R and Li, L and Tier, B and Dutkowski, GW and McRae, TA, Use of the numerator relationship matrix in genetic analysis of autopolyploid species, Theoretical and Applied Genetics, 124, (7) pp. 1271-1282. ISSN 0040-5752 (2012) [Refereed Article]
Copyright Statement
Copyright 2012 Springer-Verlag
DOI: doi:10.1007/s00122-012-1785-y
Abstract
Mixed models incorporating the inverse of a numerator relationship matrix (NRM) are widely used to estimate genetic parameters and to predict breeding values in animal breeding. A simple and quick method to directly calculate the inverse of the NRM has been historically developed for diploid animal species. Mixed models are less used in plant breeding partly because the existing method for diploids is not applicable to autopolyploid species. This is because of the phenomenon of double reduction and the possibility that gametes carry alleles which are identical by descent. This paper generalises the NRM and its inverse for autopolyploid species, so it can be easily incorporated into their genetic analysis. The technique proposed is to first calculate the kinship coefficient matrix and its inverse as a precursor to calculating the NRM and its inverse. This allows the NRM to be calculated for populations containing individuals of mixed ploidy levels. This generalization can also accommodate uncertain parentage by generating the "average" relationship matrix. The possibility that non-inbred parents can produce inbred progeny (double reduction) is also discussed. Rules are outlined that are applicable for any level of ploidy. Examples of use of the matrix are provided using simulated pedigrees. © 2012 Springer-Verlag.
Item Details
Item Type: | Refereed Article |
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Keywords: | potatoes, ploidy, breeding, quantitative genetics |
Research Division: | Agricultural, Veterinary and Food Sciences |
Research Group: | Horticultural production |
Research Field: | Horticultural crop improvement (incl. selection and breeding) |
Objective Division: | Plant Production and Plant Primary Products |
Objective Group: | Horticultural crops |
Objective Field: | Field grown vegetable crops |
UTAS Author: | Kerr, R (Dr Richard Kerr) |
UTAS Author: | Dutkowski, GW (Mr Greg Dutkowski) |
ID Code: | 83523 |
Year Published: | 2012 |
Web of Science® Times Cited: | 18 |
Deposited By: | Plant Science |
Deposited On: | 2013-03-15 |
Last Modified: | 2017-11-03 |
Downloads: | 0 |
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