Predicting the accuracy of genomic predictions

Abstract Background Mathematical models are needed for the design of breeding programs using genomic prediction. While deterministic models for selection on pedigree-based estimates of breeding values (PEBV) are available, these have not been fully developed for genomic selection, with a key missing...

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Main Authors: Jack C. M. Dekkers, Hailin Su, Jian Cheng
Format: Article
Language:deu
Published: BMC 2021-06-01
Series:Genetics Selection Evolution
Online Access:https://doi.org/10.1186/s12711-021-00647-w
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spelling doaj-a773e6cee4244b01baa28ea904c4405b2021-07-04T11:36:12ZdeuBMCGenetics Selection Evolution1297-96862021-06-0153112310.1186/s12711-021-00647-wPredicting the accuracy of genomic predictionsJack C. M. Dekkers0Hailin Su1Jian Cheng2Department of Animal Science, Iowa State UniversityDepartment of Animal Science, Iowa State UniversityDepartment of Animal Science, Iowa State UniversityAbstract Background Mathematical models are needed for the design of breeding programs using genomic prediction. While deterministic models for selection on pedigree-based estimates of breeding values (PEBV) are available, these have not been fully developed for genomic selection, with a key missing component being the accuracy of genomic EBV (GEBV) of selection candidates. Here, a deterministic method was developed to predict this accuracy within a closed breeding population based on the accuracy of GEBV and PEBV in the reference population and the distance of selection candidates from their closest ancestors in the reference population. Methods The accuracy of GEBV was modeled as a combination of the accuracy of PEBV and of EBV based on genomic relationships deviated from pedigree (DEBV). Loss of the accuracy of DEBV from the reference to the target population was modeled based on the effective number of independent chromosome segments in the reference population (M e ). Measures of M e derived from the inverse of the variance of relationships and from the accuracies of GEBV and PEBV in the reference population, derived using either a Fisher information or a selection index approach, were compared by simulation. Results Using simulation, both the Fisher and the selection index approach correctly predicted accuracy in the target population over time, both with and without selection. The index approach, however, resulted in estimates of M e that were less affected by heritability, reference size, and selection, and which are, therefore, more appropriate as a population parameter. The variance of relationships underpredicted M e and was greatly affected by selection. A leave-one-out cross-validation approach was proposed to estimate required accuracies of EBV in the reference population. Aspects of the methods were validated using real data. Conclusions A deterministic method was developed to predict the accuracy of GEBV in selection candidates in a closed breeding population. The population parameter M e that is required for these predictions can be derived from an available reference data set, and applied to other reference data sets and traits for that population. This method can be used to evaluate the benefit of genomic prediction and to optimize genomic selection breeding programs.https://doi.org/10.1186/s12711-021-00647-w
collection DOAJ
language deu
format Article
sources DOAJ
author Jack C. M. Dekkers
Hailin Su
Jian Cheng
spellingShingle Jack C. M. Dekkers
Hailin Su
Jian Cheng
Predicting the accuracy of genomic predictions
Genetics Selection Evolution
author_facet Jack C. M. Dekkers
Hailin Su
Jian Cheng
author_sort Jack C. M. Dekkers
title Predicting the accuracy of genomic predictions
title_short Predicting the accuracy of genomic predictions
title_full Predicting the accuracy of genomic predictions
title_fullStr Predicting the accuracy of genomic predictions
title_full_unstemmed Predicting the accuracy of genomic predictions
title_sort predicting the accuracy of genomic predictions
publisher BMC
series Genetics Selection Evolution
issn 1297-9686
publishDate 2021-06-01
description Abstract Background Mathematical models are needed for the design of breeding programs using genomic prediction. While deterministic models for selection on pedigree-based estimates of breeding values (PEBV) are available, these have not been fully developed for genomic selection, with a key missing component being the accuracy of genomic EBV (GEBV) of selection candidates. Here, a deterministic method was developed to predict this accuracy within a closed breeding population based on the accuracy of GEBV and PEBV in the reference population and the distance of selection candidates from their closest ancestors in the reference population. Methods The accuracy of GEBV was modeled as a combination of the accuracy of PEBV and of EBV based on genomic relationships deviated from pedigree (DEBV). Loss of the accuracy of DEBV from the reference to the target population was modeled based on the effective number of independent chromosome segments in the reference population (M e ). Measures of M e derived from the inverse of the variance of relationships and from the accuracies of GEBV and PEBV in the reference population, derived using either a Fisher information or a selection index approach, were compared by simulation. Results Using simulation, both the Fisher and the selection index approach correctly predicted accuracy in the target population over time, both with and without selection. The index approach, however, resulted in estimates of M e that were less affected by heritability, reference size, and selection, and which are, therefore, more appropriate as a population parameter. The variance of relationships underpredicted M e and was greatly affected by selection. A leave-one-out cross-validation approach was proposed to estimate required accuracies of EBV in the reference population. Aspects of the methods were validated using real data. Conclusions A deterministic method was developed to predict the accuracy of GEBV in selection candidates in a closed breeding population. The population parameter M e that is required for these predictions can be derived from an available reference data set, and applied to other reference data sets and traits for that population. This method can be used to evaluate the benefit of genomic prediction and to optimize genomic selection breeding programs.
url https://doi.org/10.1186/s12711-021-00647-w
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