Genomic selection models for directional dominance: an example for litter size in pigs

Abstract Background The quantitative genetics theory argues that inbreeding depression and heterosis are founded on the existence of directional dominance. However, most procedures for genomic selection that have included dominance effects assumed prior symmetrical distributions. To address this, tw...

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Main Authors: Luis Varona, Andrés Legarra, William Herring, Zulma G. Vitezica
Format: Article
Language:deu
Published: BMC 2018-01-01
Series:Genetics Selection Evolution
Online Access:http://link.springer.com/article/10.1186/s12711-018-0374-1
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author Luis Varona
Andrés Legarra
William Herring
Zulma G. Vitezica
author_facet Luis Varona
Andrés Legarra
William Herring
Zulma G. Vitezica
author_sort Luis Varona
collection DOAJ
description Abstract Background The quantitative genetics theory argues that inbreeding depression and heterosis are founded on the existence of directional dominance. However, most procedures for genomic selection that have included dominance effects assumed prior symmetrical distributions. To address this, two alternatives can be considered: (1) assume the mean of dominance effects different from zero, and (2) use skewed distributions for the regularization of dominance effects. The aim of this study was to compare these approaches using two pig datasets and to confirm the presence of directional dominance. Results Four alternative models were implemented in two datasets of pig litter size that consisted of 13,449 and 11,581 records from 3631 and 2612 sows genotyped with the Illumina PorcineSNP60 BeadChip. The models evaluated included (1) a model that does not consider directional dominance (Model SN), (2) a model with a covariate b for the average individual homozygosity (Model SC), (3) a model with a parameter λ that reflects asymmetry in the context of skewed Gaussian distributions (Model AN), and (4) a model that includes both b and λ (Model Full). The results of the analysis showed that posterior probabilities of a negative b or a positive λ under Models SC and AN were higher than 0.99, which indicate positive directional dominance. This was confirmed with the predictions of inbreeding depression under Models Full, SC and AN, that were higher than in the SN Model. In spite of differences in posterior estimates of variance components between models, comparison of models based on LogCPO and DIC indicated that Model SC provided the best fit for the two datasets analyzed. Conclusions Our results confirmed the presence of positive directional dominance for pig litter size and suggested that it should be taken into account when dominance effects are included in genomic evaluation procedures. The consequences of ignoring directional dominance may affect predictions of breeding values and can lead to biased prediction of inbreeding depression and performance of potential mates. A model that assumes Gaussian dominance effects that are centered on a non-zero mean is recommended, at least for datasets with similar features to those analyzed here.
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spelling doaj.art-a552c7655c51475885c57ee1e2f8cf152022-12-21T22:27:19ZdeuBMCGenetics Selection Evolution1297-96862018-01-0150111310.1186/s12711-018-0374-1Genomic selection models for directional dominance: an example for litter size in pigsLuis Varona0Andrés Legarra1William Herring2Zulma G. Vitezica3Departamento de Anatomía, Embriología y Genética Animal, Universidad de ZaragozaINRA, GenPhySE (Génétique, Physiologie et Systèmes d’Elevage)PIC North AmericaINP, ENSAT, GenPhySE (Génétique, Physiologie et Systèmes d’Elevage), Université de ToulouseAbstract Background The quantitative genetics theory argues that inbreeding depression and heterosis are founded on the existence of directional dominance. However, most procedures for genomic selection that have included dominance effects assumed prior symmetrical distributions. To address this, two alternatives can be considered: (1) assume the mean of dominance effects different from zero, and (2) use skewed distributions for the regularization of dominance effects. The aim of this study was to compare these approaches using two pig datasets and to confirm the presence of directional dominance. Results Four alternative models were implemented in two datasets of pig litter size that consisted of 13,449 and 11,581 records from 3631 and 2612 sows genotyped with the Illumina PorcineSNP60 BeadChip. The models evaluated included (1) a model that does not consider directional dominance (Model SN), (2) a model with a covariate b for the average individual homozygosity (Model SC), (3) a model with a parameter λ that reflects asymmetry in the context of skewed Gaussian distributions (Model AN), and (4) a model that includes both b and λ (Model Full). The results of the analysis showed that posterior probabilities of a negative b or a positive λ under Models SC and AN were higher than 0.99, which indicate positive directional dominance. This was confirmed with the predictions of inbreeding depression under Models Full, SC and AN, that were higher than in the SN Model. In spite of differences in posterior estimates of variance components between models, comparison of models based on LogCPO and DIC indicated that Model SC provided the best fit for the two datasets analyzed. Conclusions Our results confirmed the presence of positive directional dominance for pig litter size and suggested that it should be taken into account when dominance effects are included in genomic evaluation procedures. The consequences of ignoring directional dominance may affect predictions of breeding values and can lead to biased prediction of inbreeding depression and performance of potential mates. A model that assumes Gaussian dominance effects that are centered on a non-zero mean is recommended, at least for datasets with similar features to those analyzed here.http://link.springer.com/article/10.1186/s12711-018-0374-1
spellingShingle Luis Varona
Andrés Legarra
William Herring
Zulma G. Vitezica
Genomic selection models for directional dominance: an example for litter size in pigs
Genetics Selection Evolution
title Genomic selection models for directional dominance: an example for litter size in pigs
title_full Genomic selection models for directional dominance: an example for litter size in pigs
title_fullStr Genomic selection models for directional dominance: an example for litter size in pigs
title_full_unstemmed Genomic selection models for directional dominance: an example for litter size in pigs
title_short Genomic selection models for directional dominance: an example for litter size in pigs
title_sort genomic selection models for directional dominance an example for litter size in pigs
url http://link.springer.com/article/10.1186/s12711-018-0374-1
work_keys_str_mv AT luisvarona genomicselectionmodelsfordirectionaldominanceanexampleforlittersizeinpigs
AT andreslegarra genomicselectionmodelsfordirectionaldominanceanexampleforlittersizeinpigs
AT williamherring genomicselectionmodelsfordirectionaldominanceanexampleforlittersizeinpigs
AT zulmagvitezica genomicselectionmodelsfordirectionaldominanceanexampleforlittersizeinpigs