International Maize and Wheat Improvement Center (CIMMYT), Mexico.
International Maize and Wheat Improvement Center (CIMMYT), Mexico.
Theor Popul Biol. 2020 Apr;132:16-23. doi: 10.1016/j.tpb.2020.01.004. Epub 2020 Jan 25.
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.
全基因组上位性模型，包括不同位点间的相互作用，可用基于加性基因组关系Hadamard 幂的基因组关系模型来近似。我们说明，当相互作用的程度 d 增加时，这种近似的质量会降低。此外，我们还考虑了定义为不同程度相互作用的加权和的关系模型，研究了这种近似项质量降低对加权和的近似的影响。结果表明，这些近似仍然处于可靠水平，但当较高程度相互作用的权重没有快速下降时，它们的质量会降低。
