The correlation of substitution effects across populations and generations in the presence of nonadditive functional gene action
| Autor: | Carolina A Garcia-Baccino, Andres Legarra, Yvonne C. J. Wientjes, Zulma G. Vitezica |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
QTL
Population Genetic distance Quantitative trait locus Biology Animal Breeding and Genomics 03 medical and health sciences Genotype Fokkerij en Genomica Allele Gene–environment interaction education Allele frequency Dominance 030304 developmental biology 0303 health sciences education.field_of_study 0402 animal and dairy science 04 agricultural and veterinary sciences Quantitative genetics 040201 dairy & animal science Evolutionary biology WIAS Epistasis Inbreeding Substitution effects |
| Zdroj: | Genetics 219 (2021) 4 Genetics, 219(4) |
| ISSN: | 0016-6731 |
| Popis: | Allele substitution effects at quantitative trait loci (QTL) are part of the basis of quantitative genetics theory and applications such as association analysis and genomic prediction. In presence of non-additive functional gene action, substitution effects are not constant across populations. We develop an original approach to model the difference in substitution effects across populations as first order Taylor series expansion from a "focal" population. This expansion involves the difference in allele frequencies and second-order statistical effects (additive by additive and dominance). The change in allele frequencies is a function of relationships (or genetic distances) across populations. As a result, it is possible to estimate the correlation of substitution effects across two populations using three elements: magnitudes of additive, dominance and additive by additive variance; relationships across populations (similar to Fst indexes); and functions of heterozygosities at the markers. Similarly, the theory applies as well to distinct generations in a population, in which case the distance across generations is a function of increase of inbreeding. Using published estimates of the needed parameters, we estimate the correlation between substitution effects to be around 0.60 for distinct breeds and higher than 0.9 for generations closer than 5. Simulation results confirmed our derivations although our estimators tended to underestimate the correlation. Our derivations are useful to understand the difficulty in predicting across populations, to forecast the possibility of prediction across populations, and we suggest that they can be useful to disentangle genotype by environment interaction from genotype by genotype interaction. |
| Databáze: | OpenAIRE |
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