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      The effects of training population design on genomic prediction accuracy in wheat

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          Abstract

          Genomic selection offers several routes for increasing the genetic gain or efficiency of plant breeding programmes. In various species of livestock, there is empirical evidence of increased rates of genetic gain from the use of genomic selection to target different aspects of the breeder’s equation. Accurate predictions of genomic breeding value are central to this, and the design of training sets is in turn central to achieving sufficient levels of accuracy. In summary, small numbers of close relatives and very large numbers of distant relatives are expected to enable predictions with higher accuracy. To quantify the effect of some of the properties of training sets on the accuracy of genomic selection in crops, we performed an extensive field-based winter wheat trial. In summary, this trial involved the construction of 44 F 2:4 bi- and tri-parental populations, from which 2992 lines were grown on four field locations and yield was measured. For each line, genotype data were generated for 25 K segregating SNP markers. The overall heritability of yield was estimated to 0.65, and estimates within individual families ranged between 0.10 and 0.85. Genomic prediction accuracies of yield BLUEs were 0.125–0.127 using two different cross-validation approaches and generally increased with training set size. Using related crosses in training and validation sets generally resulted in higher prediction accuracies than using unrelated crosses. The results of this study emphasise the importance of the training panel design in relation to the genetic material to which the resulting prediction model is to be applied.

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          The online version of this article (10.1007/s00122-019-03327-y) contains supplementary material, which is available to authorized users.

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          Accuracy of Predicting the Genetic Risk of Disease Using a Genome-Wide Approach

          Background The prediction of the genetic disease risk of an individual is a powerful public health tool. While predicting risk has been successful in diseases which follow simple Mendelian inheritance, it has proven challenging in complex diseases for which a large number of loci contribute to the genetic variance. The large numbers of single nucleotide polymorphisms now available provide new opportunities for predicting genetic risk of complex diseases with high accuracy. Methodology/Principal Findings We have derived simple deterministic formulae to predict the accuracy of predicted genetic risk from population or case control studies using a genome-wide approach and assuming a dichotomous disease phenotype with an underlying continuous liability. We show that the prediction equations are special cases of the more general problem of predicting the accuracy of estimates of genetic values of a continuous phenotype. Our predictive equations are responsive to all parameters that affect accuracy and they are independent of allele frequency and effect distributions. Deterministic prediction errors when tested by simulation were generally small. The common link among the expressions for accuracy is that they are best summarized as the product of the ratio of number of phenotypic records per number of risk loci and the observed heritability. Conclusions/Significance This study advances the understanding of the relative power of case control and population studies of disease. The predictions represent an upper bound of accuracy which may be achievable with improved effect estimation methods. The formulae derived will help researchers determine an appropriate sample size to attain a certain accuracy when predicting genetic risk.
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            Genomic Selection in Wheat Breeding using Genotyping-by-Sequencing

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              Changes in genetic selection differentials and generation intervals in US Holstein dairy cattle as a result of genomic selection.

              Seven years after the introduction of genomic selection in the United States, it is now possible to evaluate the impact of this technology on the population. Selection differential(s) (SD) and generation interval(s) (GI) were characterized in a four-path selection model that included sire(s) of bulls (SB), sire(s) of cows (SC), dam(s) of bulls (DB), and dam(s) of cows (DC). Changes in SD over time were estimated for milk, fat, and protein yield; somatic cell score (SCS); productive life (PL); and daughter pregnancy rate (DPR) for the Holstein breed. In the period following implementation of genomic selection, dramatic reductions were seen in GI, especially the SB and SC paths. The SB GI reduced from ∼7 y to less than 2.5 y, and the DB GI fell from about 4 y to nearly 2.5 y. SD were relatively stable for yield traits, although modest gains were noted in recent years. The most dramatic response to genomic selection was observed for the lowly heritable traits DPR, PL, and SCS. Genetic trends changed from close to zero to large and favorable, resulting in rapid genetic improvement in fertility, lifespan, and health in a breed where these traits eroded over time. These results clearly demonstrate the positive impact of genomic selection in US dairy cattle, even though this technology has only been in use for a short time. Based on the four-path selection model, rates of genetic gain per year increased from ∼50-100% for yield traits and from threefold to fourfold for lowly heritable traits.
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                Author and article information

                Contributors
                John.Hickey@roslin.ed.ac.uk
                Journal
                Theor Appl Genet
                Theor. Appl. Genet
                TAG. Theoretical and Applied Genetics. Theoretische Und Angewandte Genetik
                Springer Berlin Heidelberg (Berlin/Heidelberg )
                0040-5752
                1432-2242
                19 March 2019
                19 March 2019
                2019
                : 132
                : 7
                : 1943-1952
                Affiliations
                [1 ]ISNI 0000 0004 1936 7988, GRID grid.4305.2, The Roslin Institute and Royal (Dick) School of Veterinary Studies, , The University of Edinburgh, ; Easter Bush, Midlothian, Scotland UK
                [2 ]ISNI 0000 0004 0383 6532, GRID grid.17595.3f, The John Bingham Laboratory, , NIAB, ; Huntingdon Road, Cambridge, CB3 0LE UK
                [3 ]GRID grid.420737.5, KWS UK Ltd, ; 56 Church Street, Hertfordshire, SG8 7RE UK
                [4 ]RAGT UK, Grange Rd, Saffron Walden, CB10 1TA UK
                [5 ]GRID grid.420923.e, Limagrain UK Ltd, ; Rothwell, Market Rasen, Lincolnshire, LN7 6DT UK
                [6 ]Elsoms Wheat Limited, Pinchbeck Road, Spalding, Linconshire, PE11 1QG UK
                [7 ]IMplant Consultancy Ltd., Chelmsford, UK
                Author notes

                Communicated by Albrecht E. Melchinger.

                Article
                3327
                10.1007/s00122-019-03327-y
                6588656
                30888431
                9855c42b-045e-4832-8bcb-201d505b59b1
                © The Author(s) 2019

                Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

                History
                : 15 October 2018
                : 11 March 2019
                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100000268, Biotechnology and Biological Sciences Research Council;
                Award ID: BB/L022141/1
                Award ID: BB/L020467/1
                Categories
                Original Article
                Custom metadata
                © Springer-Verlag GmbH Germany, part of Springer Nature 2019

                Genetics
                Genetics

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