Optimizing fully-efficient two-stage models for genomic selection using open-source software

Abstract Genomic-assisted breeding has transitioned from theoretical concepts to practical applications in breeding. Genomic selection (GS) predicts genomic breeding values (GEBV) using dense genetic markers. Single-stage models predict GEBVs from phenotypic observations in one step, fully accountin...

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Main Authors: Javier Fernández-González, Julio Isidro y Sánchez
Format: Article
Language:English
Published: BMC 2025-02-01
Series:Plant Methods
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Online Access:https://doi.org/10.1186/s13007-024-01318-9
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author Javier Fernández-González
Julio Isidro y Sánchez
author_facet Javier Fernández-González
Julio Isidro y Sánchez
author_sort Javier Fernández-González
collection DOAJ
description Abstract Genomic-assisted breeding has transitioned from theoretical concepts to practical applications in breeding. Genomic selection (GS) predicts genomic breeding values (GEBV) using dense genetic markers. Single-stage models predict GEBVs from phenotypic observations in one step, fully accounting for the entire variance-covariance structure among genotypes, but face computational challenges. Two-stage models, preferred for their simplicity and efficiency, first calculate adjusted genotypic means accounting for spatial variation within each environment, then use these means to predict GEBVs. However, unweighted (UNW) two-stage models assume independent errors among adjusted means, neglecting correlations among estimation errors. Here, we show that fully-efficient two-stage models perform similarly to UNW models for randomized complete block designs but substantially better for augmented designs. Our simulation studies demonstrate the impact of the fully-efficient methodology on prediction accuracy across different implementations and scenarios. Incorporating non-additive effects and augmented designs significantly improved accuracy, emphasizing the synergy between design and model strategy. Consistent performance requires the estimation error covariance to be incorporated into a random effect (Full_R model) rather than into the residuals. Our results suggest that the fully-efficient methodology, particularly the Full_R model, should be more prevalent, especially as GS increases the appeal of sparse designs. We also provide a comprehensive theoretical background and open-source R code, enhancing understanding and facilitating broader adoption of fully-efficient two-stage models in GS. Here, we offer insights into the practical applications of fully-efficient models and their potential to increase genetic gain, demonstrating a $$13.80\%$$ 13.80 % improvement after five selection cycles when moving from UNW to Full_R models.
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spelling doaj-art-aec0522c9e854ab5b8f700d5b2ec70462025-02-09T12:38:44ZengBMCPlant Methods1746-48112025-02-0121112410.1186/s13007-024-01318-9Optimizing fully-efficient two-stage models for genomic selection using open-source softwareJavier Fernández-González0Julio Isidro y Sánchez1Centro de Biotecnologia y Genómica de Plantas (CBGP, UPM-INIA) - Universidad Politécnica de Madrid (UPM) - Instituto Nacional de Investigación y Tecnologia Agraria y Alimentaria (INIA)Centro de Biotecnologia y Genómica de Plantas (CBGP, UPM-INIA) - Universidad Politécnica de Madrid (UPM) - Instituto Nacional de Investigación y Tecnologia Agraria y Alimentaria (INIA)Abstract Genomic-assisted breeding has transitioned from theoretical concepts to practical applications in breeding. Genomic selection (GS) predicts genomic breeding values (GEBV) using dense genetic markers. Single-stage models predict GEBVs from phenotypic observations in one step, fully accounting for the entire variance-covariance structure among genotypes, but face computational challenges. Two-stage models, preferred for their simplicity and efficiency, first calculate adjusted genotypic means accounting for spatial variation within each environment, then use these means to predict GEBVs. However, unweighted (UNW) two-stage models assume independent errors among adjusted means, neglecting correlations among estimation errors. Here, we show that fully-efficient two-stage models perform similarly to UNW models for randomized complete block designs but substantially better for augmented designs. Our simulation studies demonstrate the impact of the fully-efficient methodology on prediction accuracy across different implementations and scenarios. Incorporating non-additive effects and augmented designs significantly improved accuracy, emphasizing the synergy between design and model strategy. Consistent performance requires the estimation error covariance to be incorporated into a random effect (Full_R model) rather than into the residuals. Our results suggest that the fully-efficient methodology, particularly the Full_R model, should be more prevalent, especially as GS increases the appeal of sparse designs. We also provide a comprehensive theoretical background and open-source R code, enhancing understanding and facilitating broader adoption of fully-efficient two-stage models in GS. Here, we offer insights into the practical applications of fully-efficient models and their potential to increase genetic gain, demonstrating a $$13.80\%$$ 13.80 % improvement after five selection cycles when moving from UNW to Full_R models.https://doi.org/10.1186/s13007-024-01318-9Two-stage modelsFully-efficientVariance-covarianceOpen-sourceWeighted regressionGenomic prediction
spellingShingle Javier Fernández-González
Julio Isidro y Sánchez
Optimizing fully-efficient two-stage models for genomic selection using open-source software
Plant Methods
Two-stage models
Fully-efficient
Variance-covariance
Open-source
Weighted regression
Genomic prediction
title Optimizing fully-efficient two-stage models for genomic selection using open-source software
title_full Optimizing fully-efficient two-stage models for genomic selection using open-source software
title_fullStr Optimizing fully-efficient two-stage models for genomic selection using open-source software
title_full_unstemmed Optimizing fully-efficient two-stage models for genomic selection using open-source software
title_short Optimizing fully-efficient two-stage models for genomic selection using open-source software
title_sort optimizing fully efficient two stage models for genomic selection using open source software
topic Two-stage models
Fully-efficient
Variance-covariance
Open-source
Weighted regression
Genomic prediction
url https://doi.org/10.1186/s13007-024-01318-9
work_keys_str_mv AT javierfernandezgonzalez optimizingfullyefficienttwostagemodelsforgenomicselectionusingopensourcesoftware
AT julioisidroysanchez optimizingfullyefficienttwostagemodelsforgenomicselectionusingopensourcesoftware