Title

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

Author

Johannes Martini

Fernando Henrique Toledo

Jose Crossa

Access level

Open Access

Summary or 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.

Publish date

2020

Publication type

Article

Information Resource

Format

application/pdf

Language

English

Audience

Researchers

Source repository

Repositorio Institucional de Publicaciones Multimedia del CIMMYT

Downloads

0

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