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determine the estimated genomic breeding values of the bread wheat advanced breeding population, an experiment was conducted in alpha lattice design in three replications with 50 lines and cultivars at Chardavol Research Station of Ilam Agricultural Research and Education and Natural Resources Center for two years. Analysis of variance simple and combined for bread wheat quantitative and bread-making qualitative traits was performed. Except for grain per spike, yield and grain per spikelet traits the remaining results were significant. Genotype × year interaction on DHE, DMA, protein content, FN., ZN. and SDS were also significant. The broad heritability percentage of FN, ZN, Height, grain per spike, spikelet per spike, spike weight, yield, spike per square meter, grain per spike, TKW, SDS, DHE, protein and DMA 85.96, 54.99, 53.43, 50.06, 43.5, 41.15, 40.15, 39.03, 38.26, 36.69, 32.89, 30.04, 30.04 and 15.31 was respectively. According to the correlation results, grain per spike, grain per spikelet, spike weight and TKW as four main indices in selection of high yielding lines and appropriate baking quality in breeding programs for normal irrigation were introduced. Lines and cultivars were classified into different groups in terms of kinship and genetic distance and subgroup of lines 4, 17, 29 and 32 had the highest yield and the best quality. In order to detect, determine, genotyping SNP markers, classify and calculate breeding values, ddRAD-Seq method and NextSeq TM 500 Illumina ® platform were used. The mean Phred quality score for all individuals was 30 and out of 178811846 sequencing reads, 150108678 correct reads and an average of 2207480 reads per line was produced. The highest alignment rate was for genome B and the lowest genome D. The total number of correct SNPs recalled for 50% of the missing data were 3342, of which 1322, 1253 and 767were on the B, A and D genomes respectively. The highest SNPs on the 2B and 3B and the lowest on 4D chromosomes were identified. The highest marker density was found on the 2B and 4B and the lowest on 4D chromosomes, and also a highly significant regression relationship was found between marker density and chromosome size in the three genomes. The best statistical methods to estimate genomic breeding value in average two-year yield, TKW, spike weight, spikelet per spike, grains per spike, spike per square meter, DHE, DMA, height, protein, FN and ZN were Bayes RR, EN, Bayes RR, RF, Lasso, BayesA, Bayes RR, BayesA, BayesB, Bayes Lasso, Bayes RR and EN, respectively and no model fitted for grain per spiklet and SDS. There was a direct inverse relationship between trait heritability and prediction accuracy and the ratio of prediction accuracy to heritability for yield, TKW, spike weight, grain per spikelet, spikelet per spike, grain in spike, spike per square meter, DHE, DMA, height, protein, FN, ZN and SDS were 60, 38, 48, 0, 24, 30, 12, 40, 138, 36, 78, 34, 44 and zero respectively. The results showed that in breeding programs can be used genomic selection for improving DMA, protein and yield traits and in order to implementing genomic selection in different traits in addition to trait and statistical method should pay attention to contribute each one of the components of variance including genotype, environment and interaction that accounted for the amount of total variation. The amount of response to selection in genomic, phenotypic and integrated phenotypic and genomic selection strategies were 0.098, 0.163 and 0.181 t / ha, respectively, which is equivalent to an increase of 4, 7 and 8% in relation to the mean population respectively. The integrated phenotypic and genomics selection showed the highest response to selection in relation to phenotypic selection that was more than 11 percent. Significant distribution of SNP markers on genomes A, B and C were 63, 42 and 26, respectively. Loci identified on the chromosomes in this study and similar to those in other investigations for yield; 1D, 1B, 3B, 5A, 7A and 7D, TKW; 2B, 3B, 4A, 5A, 5B, 7B and 7D , grain per spikelet; 2A and 6A, grain per spike; 2A, 5B and 6A, spike per square meter; 6D, DMA; 2D, 2A,
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