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On the approximation of interaction effect models by Hadamard powers of the additive genomic relationship

Author: Martini, J.W.R.
Author: Toledo, F.H.
Author: Crossa, J.
Year: 2020
ISSN: 0040-5809 (Print)
URI: https://hdl.handle.net/10883/20764
Format: PDF
Language: English
Publisher: Elsevier
Copyright: CIMMYT manages Intellectual Assets as International Public Goods. The user is free to download, print, store and share this work. In case you want to translate or create any other derivative work and share or distribute such translation/derivative work, please contact CIMMYT-Knowledge-Center@cgiar.org indicating the work you want to use and the kind of use you intend; CIMMYT will contact you with the suitable license for that purpose.
Type: Article
Place of Publication: USA
Pages: 16-23
Volume: 132
DOI: 10.1016/j.tpb.2020.01.004
Description: Whole genome epistasis models with interactions between different loci can be approximated by genomic relationship models based on Hadamard powers of the additive genomic relationship. We illustrate that the quality of this approximation reduces when the degree of interaction d increases. Moreover, considering relationship models defined as weighted sum of interactions of different degree, we investigate the impact of this decreasing quality of approximation of the summands on the approximation of the weighted sum. Our results indicate that these approximations remain on a reliable level, but their quality reduces when the weights of interactions of higher degrees do not decrease quickly.
Agrovoc: GENE INTERACTION
Agrovoc: GENOMICS
Agrovoc: MODELS
Related Datasets: https://www.genetics.org/content/186/2/713.supplemental
Journal: Theoretical Population Biology


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    Genetic Resources including germplasm collections, wild relatives, genotyping, genomics, and IP

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