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Title: Use of the numerator relationship matrix in genetic analysis of autopolyploid species
Contributor(s): Kerr, Richard J (author); Li, Li  (author)orcid ; Tier, Bruce  (author); Dutkowski, Gregory W (author); McRae, Thomas A (author)
Publication Date: 2012
DOI: 10.1007/s00122-012-1785-y
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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.
Publication Type: Journal Article
Source of Publication: Theoretical and Applied Genetics, 124(7), p. 1271-1282
Publisher: Springer
Place of Publication: Germany
ISSN: 1432-2242
Fields of Research (FoR) 2008: 070602 Horticultural Crop Improvement (Selection and Breeding)
060412 Quantitative Genetics (incl Disease and Trait Mapping Genetics)
Fields of Research (FoR) 2020: 300406 Crop and pasture improvement (incl. selection and breeding)
310506 Gene mapping
Socio-Economic Objective (SEO) 2008: 820215 Vegetables
820299 Horticultural Crops not elsewhere classified
Socio-Economic Objective (SEO) 2020: 260512 Protected vegetable crops
260505 Field grown vegetable crops
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Appears in Collections:Animal Genetics and Breeding Unit (AGBU)
Journal Article

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