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      Multienvironment genomic variance decomposition analysis of open-pollinated Interior spruce ( Picea glauca x engelmannii)

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          Abstract

          The advantages of open-pollinated (OP) family testing over controlled crossing (i.e., structured pedigree) are the potential to screen and rank a large number of parents and offspring with minimal cost and efforts; however, the method produces inflated genetic parameters as the actual sibling relatedness within OP families rarely meets the half-sib relatedness assumption. Here, we demonstrate the unsurpassed utility of OP testing after shifting the analytical mode from pedigree- (ABLUP) to genomic-based (GBLUP) relationship using phenotypic tree height (HT) and wood density (WD) and genotypic (30k SNPs) data for 1126 38-year-old Interior spruce ( Picea glauca (Moench) Voss x P. engelmannii Parry ex Engelm.) trees, representing 25 OP families, growing on three sites in Interior British Columbia, Canada. The use of the genomic realized relationship permitted genetic variance decomposition to additive, dominance, and epistatic genetic variances, and their interactions with the environment, producing more accurate narrow-sense heritability and breeding value estimates as compared to the pedigree-based counterpart. The impact of retaining (random folding) vs. removing (family folding) genetic similarity between the training and validation populations on the predictive accuracy of genomic selection was illustrated and highlighted the former caveats and latter advantages. Moreover, GBLUP models allowed breeding value prediction for individuals from families that were not included in the developed models, which was not possible with the ABLUP. Response to selection differences between the ABLUP and GBLUP models indicated the presence of systematic genetic gain overestimation of 35 and 63% for HT and WD, respectively, mainly caused by the inflated estimates of additive genetic variance and individuals’ breeding values given by the ABLUP models. Extending the OP genomic-based models from single to multisite made the analysis applicable to existing OP testing programs.

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          Introduction to Quantitative Genetics

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            Coefficients of Inbreeding and Relationship

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              Increased accuracy of artificial selection by using the realized relationship matrix.

              Dense marker genotypes allow the construction of the realized relationship matrix between individuals, with elements the realized proportion of the genome that is identical by descent (IBD) between pairs of individuals. In this paper, we demonstrate that by replacing the average relationship matrix derived from pedigree with the realized relationship matrix in best linear unbiased prediction (BLUP) of breeding values, the accuracy of the breeding values can be substantially increased, especially for individuals with no phenotype of their own. We further demonstrate that this method of predicting breeding values is exactly equivalent to the genomic selection methodology where the effects of quantitative trait loci (QTLs) contributing to variation in the trait are assumed to be normally distributed. The accuracy of breeding values predicted using the realized relationship matrix in the BLUP equations can be deterministically predicted for known family relationships, for example half sibs. The deterministic method uses the effective number of independently segregating loci controlling the phenotype that depends on the type of family relationship and the length of the genome. The accuracy of predicted breeding values depends on this number of effective loci, the family relationship and the number of phenotypic records. The deterministic prediction demonstrates that the accuracy of breeding values can approach unity if enough relatives are genotyped and phenotyped. For example, when 1000 full sibs per family were genotyped and phenotyped, and the heritability of the trait was 0.5, the reliability of predicted genomic breeding values (GEBVs) for individuals in the same full sib family without phenotypes was 0.82. These results were verified by simulation. A deterministic prediction was also derived for random mating populations, where the effective population size is the key parameter determining the effective number of independently segregating loci. If the effective population size is large, a very large number of individuals must be genotyped and phenotyped in order to accurately predict breeding values for unphenotyped individuals from the same population. If the heritability of the trait is 0.3, and N(e)=100, approximately 12474 individuals with genotypes and phenotypes are required in order to predict GEBVs of un-phenotyped individuals in the same population with an accuracy of 0.7 [corrected].
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                Author and article information

                Contributors
                omnia.gamal@alumni.ubc.ca
                b.ratcliffe@gmail.com
                klapste.j@gmail.com
                porth@mail.ubc.ca
                charles.chen@okstate.edu
                y.el-kassaby@ubc.ca
                Journal
                Mol Breed
                Mol. Breed
                Molecular Breeding
                Springer Netherlands (Dordrecht )
                1380-3743
                1572-9788
                15 February 2018
                15 February 2018
                2018
                : 38
                : 3
                : 26
                Affiliations
                [1 ]ISNI 0000 0001 2288 9830, GRID grid.17091.3e, Department of Forest and Conservation Sciences, Faculty of Forestry, , University of British Columbia, ; Vancouver, BC V6T 1Z4 Canada
                [2 ]ISNI 0000 0001 2260 6941, GRID grid.7155.6, Pharmacognosy Department, Faculty of Pharmacy, , Alexandria University, ; Alexandria, Egypt
                [3 ]ISNI 0000 0001 2238 631X, GRID grid.15866.3c, Department of Genetics and Physiology of Forest Trees, Faculty of Forestry and Wood Sciences, , Czech University of Life Sciences Prague, ; Kamycka 129, 165 21 Prague 6, Czech Republic
                [4 ]ISNI 0000 0004 1936 9203, GRID grid.457328.f, Present Address: Scion (New Zealand Forest Research Institute Ltd.), ; 49 Sala Street, Whakarewarewa, Rotorua, 3046 New Zealand
                [5 ]ISNI 0000 0004 1936 8390, GRID grid.23856.3a, Present Address: Départment des Sciences du Bois et de la Forêt, Faculté de Foresterie, de Géographie et Géomatique, , Université Laval, ; Quebec City, QC G1V 0A6 Canada
                [6 ]ISNI 0000 0001 0721 7331, GRID grid.65519.3e, Department of Biochemistry and Molecular Biology, , Oklahoma State University, ; Stillwater, OK 74078-3035 USA
                Author information
                http://orcid.org/0000-0002-4887-8977
                Article
                784
                10.1007/s11032-018-0784-3
                5814545
                29491726
                8c56d44d-c60c-445f-ba31-acf16f11cab2
                © The Author(s) 2018

                Open Access This 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
                : 25 April 2017
                : 29 January 2018
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                © Springer Science+Business Media B.V., part of Springer Nature 2018

                Animal science & Zoology
                open-pollinated families,interior spruce,multienvironment,genetic variance decomposition,pedigree- and marker-based relationships

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