A function accounting for training set size and marker density to model the average accuracy of genomic prediction.
Prediction of genomic breeding values is of major practical relevance in dairy cattle breeding. Deterministic equations have been suggested to predict the accuracy of genomic breeding values in a given design which are based on training set size, reliability of phenotypes, and the number of independ...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2013-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC3855218?pdf=render |
| _version_ | 1819113871961489408 |
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| author | Malena Erbe Birgit Gredler Franz Reinhold Seefried Beat Bapst Henner Simianer |
| author_facet | Malena Erbe Birgit Gredler Franz Reinhold Seefried Beat Bapst Henner Simianer |
| author_sort | Malena Erbe |
| collection | DOAJ |
| description | Prediction of genomic breeding values is of major practical relevance in dairy cattle breeding. Deterministic equations have been suggested to predict the accuracy of genomic breeding values in a given design which are based on training set size, reliability of phenotypes, and the number of independent chromosome segments ([Formula: see text]). The aim of our study was to find a general deterministic equation for the average accuracy of genomic breeding values that also accounts for marker density and can be fitted empirically. Two data sets of 5'698 Holstein Friesian bulls genotyped with 50 K SNPs and 1'332 Brown Swiss bulls genotyped with 50 K SNPs and imputed to ∼600 K SNPs were available. Different k-fold (k = 2-10, 15, 20) cross-validation scenarios (50 replicates, random assignment) were performed using a genomic BLUP approach. A maximum likelihood approach was used to estimate the parameters of different prediction equations. The highest likelihood was obtained when using a modified form of the deterministic equation of Daetwyler et al. (2010), augmented by a weighting factor (w) based on the assumption that the maximum achievable accuracy is [Formula: see text]. The proportion of genetic variance captured by the complete SNP sets ([Formula: see text]) was 0.76 to 0.82 for Holstein Friesian and 0.72 to 0.75 for Brown Swiss. When modifying the number of SNPs, w was found to be proportional to the log of the marker density up to a limit which is population and trait specific and was found to be reached with ∼20'000 SNPs in the Brown Swiss population studied. |
| first_indexed | 2024-12-22T04:36:18Z |
| format | Article |
| id | doaj.art-a8840cdc845a4bccb53296bfc484ee28 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-22T04:36:18Z |
| publishDate | 2013-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-a8840cdc845a4bccb53296bfc484ee282022-12-21T18:38:53ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-01812e8104610.1371/journal.pone.0081046A function accounting for training set size and marker density to model the average accuracy of genomic prediction.Malena ErbeBirgit GredlerFranz Reinhold SeefriedBeat BapstHenner SimianerPrediction of genomic breeding values is of major practical relevance in dairy cattle breeding. Deterministic equations have been suggested to predict the accuracy of genomic breeding values in a given design which are based on training set size, reliability of phenotypes, and the number of independent chromosome segments ([Formula: see text]). The aim of our study was to find a general deterministic equation for the average accuracy of genomic breeding values that also accounts for marker density and can be fitted empirically. Two data sets of 5'698 Holstein Friesian bulls genotyped with 50 K SNPs and 1'332 Brown Swiss bulls genotyped with 50 K SNPs and imputed to ∼600 K SNPs were available. Different k-fold (k = 2-10, 15, 20) cross-validation scenarios (50 replicates, random assignment) were performed using a genomic BLUP approach. A maximum likelihood approach was used to estimate the parameters of different prediction equations. The highest likelihood was obtained when using a modified form of the deterministic equation of Daetwyler et al. (2010), augmented by a weighting factor (w) based on the assumption that the maximum achievable accuracy is [Formula: see text]. The proportion of genetic variance captured by the complete SNP sets ([Formula: see text]) was 0.76 to 0.82 for Holstein Friesian and 0.72 to 0.75 for Brown Swiss. When modifying the number of SNPs, w was found to be proportional to the log of the marker density up to a limit which is population and trait specific and was found to be reached with ∼20'000 SNPs in the Brown Swiss population studied.http://europepmc.org/articles/PMC3855218?pdf=render |
| spellingShingle | Malena Erbe Birgit Gredler Franz Reinhold Seefried Beat Bapst Henner Simianer A function accounting for training set size and marker density to model the average accuracy of genomic prediction. PLoS ONE |
| title | A function accounting for training set size and marker density to model the average accuracy of genomic prediction. |
| title_full | A function accounting for training set size and marker density to model the average accuracy of genomic prediction. |
| title_fullStr | A function accounting for training set size and marker density to model the average accuracy of genomic prediction. |
| title_full_unstemmed | A function accounting for training set size and marker density to model the average accuracy of genomic prediction. |
| title_short | A function accounting for training set size and marker density to model the average accuracy of genomic prediction. |
| title_sort | function accounting for training set size and marker density to model the average accuracy of genomic prediction |
| url | http://europepmc.org/articles/PMC3855218?pdf=render |
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