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Potapova NA, Zlobin AS, Leonova IN, Salina EA, Tsepilov YA. The BLUP method in evaluation of breeding values of Russian spring wheat lines using micro- and macroelements in seeds. Vavilovskii Zhurnal Genet Selektsii 2024; 28:456-462. [PMID: 39027122 PMCID: PMC11253017 DOI: 10.18699/vjgb-24-51] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/29/2023] [Revised: 03/06/2024] [Accepted: 03/12/2023] [Indexed: 07/20/2024] Open
Abstract
Genomic selection is a technology that allows for the determination of the genetic value of varieties of agricultural plants and animal breeds, based on information about genotypes and phenotypes. The measured breeding value (BV) for varieties and breeds in relation to the target trait allows breeding stages to be thoroughly planned and the parent forms suitable for crossing to be chosen. In this work, the BLUP method was used to assess the breeding value of 149 Russian varieties and introgression lines (4 measurements for each variety or line, 596 phenotypic points) of spring wheat according to the content of seven chemical elements in the grain - K, Ca, Mg, Mn, Fe, Zn, Cu. The quality of the evaluation of breeding values was assessed using cross-validation, when the sample was randomly divided into five parts, one of which was chosen as a test population. The following average values of the Pearson correlation were obtained for predicting the concentration of trace elements: K - 0.67, Ca - 0.61, Mg - 0.4, Mn - 0.5, Fe - 0.38, Zn - 0.46, Cu - 0.48. Out of the 35 models studied, the p-value was below the nominal significant threshold (p-value < 0.05) for 28 models. For 11 models, the p-value was significant after correction for multiple testing (p-value < 0.001). For Ca and K, four out of five models and for Mn two out of five models had a p-value below the threshold adjusted for multiple testing. For 30 varieties that showed the best varietal values for Ca, K and Mn, the average breeding value was 296.43, 785.11 and 4.87 mg/kg higher, respectively, than the average breeding value of the population. The results obtained show the relevance of the application of genomic selection models even in such limited-size samples. The models for K, Ca and Mn are suitable for assessing the breeding value of Russian wheat varieties based on these characteristics.
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Affiliation(s)
- N A Potapova
- Kurchatov Genomic Center of ICG SB RAS, Novosibirsk, Russia Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia Lopukhin Federal Research and Clinical Center of Physical-Chemical Medicine of Federal Medical-Biological Agency, Moscow, Russia
| | - A S Zlobin
- Kurchatov Genomic Center of ICG SB RAS, Novosibirsk, Russia
| | - I N Leonova
- Institute of Cytology and Genetics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
| | - E A Salina
- Kurchatov Genomic Center of ICG SB RAS, Novosibirsk, Russia
| | - Y A Tsepilov
- Kurchatov Genomic Center of ICG SB RAS, Novosibirsk, Russia
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Wang H, Bernardo A, St Amand P, Bai G, Bowden RL, Guttieri MJ, Jordan KW. Skim exome capture genotyping in wheat. THE PLANT GENOME 2023; 16:e20381. [PMID: 37604795 DOI: 10.1002/tpg2.20381] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/14/2023] [Revised: 07/12/2023] [Accepted: 07/29/2023] [Indexed: 08/23/2023]
Abstract
Next-generation sequencing (NGS) technology advancements continue to reduce the cost of high-throughput genome-wide genotyping for breeding and genetics research. Skim sequencing, which surveys the entire genome at low coverage, has become feasible for quantitative trait locus (QTL) mapping and genomic selection in various crops. However, the genome complexity of allopolyploid crops such as wheat (Triticum aestivum L.) still poses a significant challenge for genome-wide genotyping. Targeted sequencing of the protein-coding regions (i.e., exome) reduces sequencing costs compared to whole genome re-sequencing and can be used for marker discovery and genotyping. We developed a method called skim exome capture (SEC) that combines the strengths of these existing technologies and produces targeted genotyping data while decreasing the cost on a per-sample basis compared to traditional exome capture. Specifically, we fragmented genomic DNA using a tagmentation approach, then enriched those fragments for the low-copy genic portion of the genome using commercial wheat exome baits and multiplexed the sequencing at different levels to achieve desired coverage. We demonstrated that for a library of 48 samples, ∼7-8× target coverage was sufficient for high-quality variant detection. For higher multiplexing levels of 528 and 1056 samples per library, we achieved an average coverage of 0.76× and 0.32×, respectively. Combining these lower coverage SEC sequencing data with genotype imputation using a customized wheat practical haplotype graph database that we developed, we identified hundreds of thousands of high-quality genic variants across the genome. The SEC method can be used for high-resolution QTL mapping, genome-wide association studies, genomic selection, and other downstream applications.
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Affiliation(s)
- Hongliang Wang
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Amy Bernardo
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Paul St Amand
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Guihua Bai
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Robert L Bowden
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Mary J Guttieri
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
| | - Katherine W Jordan
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Center for Grain and Animal Health Research, Manhattan, Kansas, USA
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Niehoff T, Pook T, Gholami M, Beissinger T. Imputation of low-density marker chip data in plant breeding: Evaluation of methods based on sugar beet. THE PLANT GENOME 2022; 15:e20257. [PMID: 36258672 DOI: 10.1002/tpg2.20257] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/29/2022] [Accepted: 08/02/2022] [Indexed: 06/16/2023]
Abstract
Low-density genotyping followed by imputation reduces genotyping costs while still providing high-density marker information. An increased marker density has the potential to improve the outcome of all applications that are based on genomic data. This study investigates techniques for 1k to 20k genomic marker imputation for plant breeding programs with sugar beet (Beta vulgaris L. ssp. vulgaris) as an example crop, where these are realistic marker numbers for modern breeding applications. The generally accepted 'gold standard' for imputation, Beagle 5.1, was compared with the recently developed software AlphaPlantImpute2 which is designed specifically for plant breeding. For Beagle 5.1 and AlphaPlantImpute2, the imputation strategy as well as the imputation parameters were optimized in this study. We found that the imputation accuracy of Beagle could be tremendously improved (0.22 to 0.67) by tuning parameters, mainly by lowering the values for the parameter for the effective population size and increasing the number of iterations performed. Separating the phasing and imputation steps also improved accuracies when optimized parameters were used (0.67 to 0.82). We also found that the imputation accuracy of Beagle decreased when more low-density lines were included for imputation. AlphaPlantImpute2 produced very high accuracies without optimization (0.89) and was generally less responsive to optimization. Overall, AlphaPlantImpute2 performed relatively better for imputation whereas Beagle was better for phasing. Combining both tools yielded the highest accuracies.
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Affiliation(s)
- Tobias Niehoff
- Animal Breeding and Genomics, Wageningen Univ. & Research, Postbox 338, 6700AH, Wageningen, The Netherlands
- Dep. of Crop Sciences, Division of Plant Breeding Methodology, Univ. of Göttingen, Göttingen, 37075, Germany
| | - Torsten Pook
- Animal Breeding and Genomics, Wageningen Univ. & Research, Postbox 338, 6700AH, Wageningen, The Netherlands
- Dep. of Animal Sciences, Animal Breeding and Genetics Group, Univ. of Göttingen, Göttingen, 37075, Germany
- Center for Integrated Breeding Research, Univ. of Göttingen, Göttingen, 37075, Germany
| | - Mahmood Gholami
- RD-SBCE-BTA, KWS SAAT SE & Co. KGaA, Grimsehlstr. 31, Einbeck, 37574, Germany
| | - Timothy Beissinger
- Dep. of Crop Sciences, Division of Plant Breeding Methodology, Univ. of Göttingen, Göttingen, 37075, Germany
- Center for Integrated Breeding Research, Univ. of Göttingen, Göttingen, 37075, Germany
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Yang N, Ovenden B, Baxter B, McDonald MC, Solomon PS, Milgate A. Multi-stage resistance to Zymoseptoria tritici revealed by GWAS in an Australian bread wheat diversity panel. FRONTIERS IN PLANT SCIENCE 2022; 13:990915. [PMID: 36352863 PMCID: PMC9637935 DOI: 10.3389/fpls.2022.990915] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/11/2022] [Accepted: 10/03/2022] [Indexed: 06/16/2023]
Abstract
Septoria tritici blotch (STB) has been ranked the third most important wheat disease in the world, threatening a large area of wheat production. Although major genes play an important role in the protection against Zymoseptoria tritici infection, the lifespan of their resistance unfortunately is very short in modern wheat production systems. Combinations of quantitative resistance with minor effects, therefore, are believed to have prolonged and more durable resistance to Z. tritici. In this study, new quantitative trait loci (QTLs) were identified that are responsible for seedling-stage resistance and adult-plant stage resistance (APR). More importantly was the characterisation of a previously unidentified QTL that can provide resistance during different stages of plant growth or multi-stage resistance (MSR). At the seedling stage, we discovered a new isolate-specific QTL, QSt.wai.1A.1. At the adult-plant stage, the new QTL QStb.wai.6A.2 provided stable and consistent APR in multiple sites and years, while the QTL QStb.wai.7A.2 was highlighted to have MSR. The stacking of multiple favourable MSR alleles was found to improve resistance to Z. tritici by up to 40%.
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Affiliation(s)
- Nannan Yang
- NSW Department of Primary Industries, Wagga Wagga Agricultural Institute, Wagga Wagga, NSW, Australia
| | - Ben Ovenden
- NSW Department of Primary Industries, Wagga Wagga Agricultural Institute, Wagga Wagga, NSW, Australia
| | - Brad Baxter
- NSW Department of Primary Industries, Wagga Wagga Agricultural Institute, Wagga Wagga, NSW, Australia
| | - Megan C. McDonald
- University of Birmingham, School of Biosciences, Birmingham, West Midlands, United Kingdom
| | - Peter S. Solomon
- Division of Plant Sciences, Research School of Biology, The Australian National University, Canberra, ACT, Australia
| | - Andrew Milgate
- NSW Department of Primary Industries, Wagga Wagga Agricultural Institute, Wagga Wagga, NSW, Australia
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Chen L, Yang S, Araya S, Quigley C, Taliercio E, Mian R, Specht JE, Diers BW, Song Q. Genotype imputation for soybean nested association mapping population to improve precision of QTL detection. TAG. THEORETICAL AND APPLIED GENETICS. THEORETISCHE UND ANGEWANDTE GENETIK 2022; 135:1797-1810. [PMID: 35275252 PMCID: PMC9110473 DOI: 10.1007/s00122-022-04070-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/08/2021] [Accepted: 02/25/2022] [Indexed: 06/14/2023]
Abstract
KEY MESSAGE Software for high imputation accuracy in soybean was identified. Imputed dataset could significantly reduce the interval of genomic regions controlling traits, thus greatly improve the efficiency of candidate gene identification. Genotype imputation is a strategy to increase marker density of existing datasets without additional genotyping. We compared imputation performance of software BEAGLE 5.0, IMPUTE 5 and AlphaPlantImpute and tested software parameters that may help to improve imputation accuracy in soybean populations. Several factors including marker density, extent of linkage disequilibrium (LD), minor allele frequency (MAF), etc., were examined for their effects on imputation accuracy across different software. Our results showed that AlphaPlantImpute had a higher imputation accuracy than BEAGLE 5.0 or IMPUTE 5 tested in each soybean family, especially if the study progeny were genotyped with an extremely low number of markers. LD extent, MAF and reference panel size were positively correlated with imputation accuracy, a minimum number of 50 markers per chromosome and MAF of SNPs > 0.2 in soybean line were required to avoid a significant loss of imputation accuracy. Using the software, we imputed 5176 soybean lines in the soybean nested mapping population (NAM) with high-density markers of the 40 parents. The dataset containing 423,419 markers for 5176 lines and 40 parents was deposited at the Soybase. The imputed NAM dataset was further examined for the improvement of mapping quantitative trait loci (QTL) controlling soybean seed protein content. Most of the QTL identified were at identical or at similar position based on initial and imputed datasets; however, QTL intervals were greatly narrowed. The resulting genotypic dataset of NAM population will facilitate QTL mapping of traits and downstream applications. The information will also help to improve genotyping imputation accuracy in self-pollinated crops.
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Affiliation(s)
- Linfeng Chen
- Soybean Genomics and Improvement Laboratory, United States Department of Agriculture, Agricultural Research Service, Beltsville Agricultural Research Center, Beltsville, MD, 20705, USA
- National Center for Soybean Improvement, Key Laboratory of Biology and Genetic Improvement of Soybean, Ministry of Agriculture, State Key Laboratory of Crop Genetics and Germplasm Enhancement, Jiangsu Collaborative Innovation Center for Modern Crop Production, College of Agriculture, Soybean Research Institute, Nanjing Agricultural University, Nanjing, 210095, China
| | - Shouping Yang
- National Center for Soybean Improvement, Key Laboratory of Biology and Genetic Improvement of Soybean, Ministry of Agriculture, State Key Laboratory of Crop Genetics and Germplasm Enhancement, Jiangsu Collaborative Innovation Center for Modern Crop Production, College of Agriculture, Soybean Research Institute, Nanjing Agricultural University, Nanjing, 210095, China.
| | - Susan Araya
- Soybean Genomics and Improvement Laboratory, United States Department of Agriculture, Agricultural Research Service, Beltsville Agricultural Research Center, Beltsville, MD, 20705, USA
| | - Charles Quigley
- Soybean Genomics and Improvement Laboratory, United States Department of Agriculture, Agricultural Research Service, Beltsville Agricultural Research Center, Beltsville, MD, 20705, USA
| | - Earl Taliercio
- Soybean and Nitrogen Fixation Research, USDA-ARS, Raleigh, NC, 27607, USA
| | - Rouf Mian
- Soybean and Nitrogen Fixation Research, USDA-ARS, Raleigh, NC, 27607, USA
| | - James E Specht
- Department of Agronomy and Horticulture, University of Nebraska, Lincoln, NE, 68583, USA
| | - Brian W Diers
- Department of Crop Sciences, National Soybean Research Center, University of Illinois, 1101 West Peabody Drive, Urbana, IL, 61801, USA
| | - Qijian Song
- Soybean Genomics and Improvement Laboratory, United States Department of Agriculture, Agricultural Research Service, Beltsville Agricultural Research Center, Beltsville, MD, 20705, USA.
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6
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Genotyping, the Usefulness of Imputation to Increase SNP Density, and Imputation Methods and Tools. METHODS IN MOLECULAR BIOLOGY (CLIFTON, N.J.) 2022; 2467:113-138. [PMID: 35451774 DOI: 10.1007/978-1-0716-2205-6_4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Imputation has become a standard practice in modern genetic research to increase genome coverage and improve accuracy of genomic selection and genome-wide association study as a large number of samples can be genotyped at lower density (and lower cost) and, imputed up to denser marker panels or to sequence level, using information from a limited reference population. Most genotype imputation algorithms use information from relatives and population linkage disequilibrium. A number of software for imputation have been developed originally for human genetics and, more recently, for animal and plant genetics considering pedigree information and very sparse SNP arrays or genotyping-by-sequencing data. In comparison to human populations, the population structures in farmed species and their limited effective sizes allow to accurately impute high-density genotypes or sequences from very low-density SNP panels and a limited set of reference individuals. Whatever the imputation method, the imputation accuracy, measured by the correct imputation rate or the correlation between true and imputed genotypes, increased with the increasing relatedness of the individual to be imputed with its denser genotyped ancestors and as its own genotype density increased. Increasing the imputation accuracy pushes up the genomic selection accuracy whatever the genomic evaluation method. Given the marker densities, the most important factors affecting imputation accuracy are clearly the size of the reference population and the relationship between individuals in the reference and target populations.
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Keeble-Gagnère G, Pasam R, Forrest KL, Wong D, Robinson H, Godoy J, Rattey A, Moody D, Mullan D, Walmsley T, Daetwyler HD, Tibbits J, Hayden MJ. Novel Design of Imputation-Enabled SNP Arrays for Breeding and Research Applications Supporting Multi-Species Hybridization. FRONTIERS IN PLANT SCIENCE 2021; 12:756877. [PMID: 35003156 PMCID: PMC8728019 DOI: 10.3389/fpls.2021.756877] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/11/2021] [Accepted: 10/27/2021] [Indexed: 05/26/2023]
Abstract
Array-based single nucleotide polymorphism (SNP) genotyping platforms have low genotype error and missing data rates compared to genotyping-by-sequencing technologies. However, design decisions used to create array-based SNP genotyping assays for both research and breeding applications are critical to their success. We describe a novel approach applicable to any animal or plant species for the design of cost-effective imputation-enabled SNP genotyping arrays with broad utility and demonstrate its application through the development of the Illumina Infinium Wheat Barley 40K SNP array Version 1.0. We show that the approach delivers high quality and high resolution data for wheat and barley, including when samples are jointly hybridised. The new array aims to maximally capture haplotypic diversity in globally diverse wheat and barley germplasm while minimizing ascertainment bias. Comprising mostly biallelic markers that were designed to be species-specific and single-copy, the array permits highly accurate imputation in diverse germplasm to improve the statistical power of genome-wide association studies (GWAS) and genomic selection. The SNP content captures tetraploid wheat (A- and B-genome) and Aegilops tauschii Coss. (D-genome) diversity and delineates synthetic and tetraploid wheat from other wheat, as well as tetraploid species and subgroups. The content includes SNP tagging key trait loci in wheat and barley, as well as direct connections to other genotyping platforms and legacy datasets. The utility of the array is enhanced through the web-based tool, Pretzel (https://plantinformatics.io/) which enables the content of the array to be visualized and interrogated interactively in the context of numerous genetic and genomic resources to be connected more seamlessly to research and breeding. The array is available for use by the international wheat and barley community.
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Affiliation(s)
| | - Raj Pasam
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
| | - Kerrie L. Forrest
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
| | - Debbie Wong
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
| | | | | | | | | | | | | | - Hans D. Daetwyler
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
- School of Applied Systems Biology, La Trobe University, Bundoora, VIC, Australia
| | - Josquin Tibbits
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
| | - Matthew J. Hayden
- Agriculture Victoria, AgriBio, Centre for AgriBioscience, Bundoora, VIC, Australia
- School of Applied Systems Biology, La Trobe University, Bundoora, VIC, Australia
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Juma RU, Bartholomé J, Thathapalli Prakash P, Hussain W, Platten JD, Lopena V, Verdeprado H, Murori R, Ndayiragije A, Katiyar SK, Islam MR, Biswas PS, Rutkoski JE, Arbelaez JD, Mbute FN, Miano DW, Cobb JN. Identification of an Elite Core Panel as a Key Breeding Resource to Accelerate the Rate of Genetic Improvement for Irrigated Rice. RICE (NEW YORK, N.Y.) 2021; 14:92. [PMID: 34773509 PMCID: PMC8590642 DOI: 10.1186/s12284-021-00533-5] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/22/2021] [Accepted: 10/29/2021] [Indexed: 06/13/2023]
Abstract
Rice genetic improvement is a key component of achieving and maintaining food security in Asia and Africa in the face of growing populations and climate change. In this effort, the International Rice Research Institute (IRRI) continues to play a critical role in creating and disseminating rice varieties with higher productivity. Due to increasing demand for rice, especially in Africa, there is a strong need to accelerate the rate of genetic improvement for grain yield. In an effort to identify and characterize the elite breeding pool of IRRI's irrigated rice breeding program, we analyzed 102 historical yield trials conducted in the Philippines during the period 2012-2016 and representing 15,286 breeding lines (including released varieties). A mixed model approach based on the pedigree relationship matrix was used to estimate breeding values for grain yield, which ranged from 2.12 to 6.27 t·ha-1. The rate of genetic gain for grain yield was estimated at 8.75 kg·ha-1 year-1 (0.23%) for crosses made in the period from 1964 to 2014. Reducing the data to only IRRI released varieties, the rate doubled to 17.36 kg·ha-1 year-1 (0.46%). Regressed against breeding cycle the rate of gain for grain yield was 185 kg·ha-1 cycle-1 (4.95%). We selected 72 top performing lines based on breeding values for grain yield to create an elite core panel (ECP) representing the genetic diversity in the breeding program with the highest heritable yield values from which new products can be derived. The ECP closely aligns with the indica 1B sub-group of Oryza sativa that includes most modern varieties for irrigated systems. Agronomic performance of the ECP under multiple environments in Asia and Africa confirmed its high yield potential. We found that the rate of genetic gain for grain yield found in this study was limited primarily by long cycle times and the direct introduction of non-improved material into the elite pool. Consequently, the current breeding scheme for irrigated rice at IRRI is based on rapid recurrent selection among highly elite lines. In this context, the ECP constitutes an important resource for IRRI and NAREs breeders to carefully characterize and manage that elite diversity.
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Affiliation(s)
- Roselyne U Juma
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- Kenya Agricultural and Livestock Research Organization, 50100-169, Kakamega, Kenya
| | - Jérôme Bartholomé
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines.
- AGAP Institut, CIRAD, INRA, Montpellier SupAgro, Univ Montpellier, Montpellier, France.
| | - Parthiban Thathapalli Prakash
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
| | - Waseem Hussain
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
| | - John D Platten
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
| | - Vitaliano Lopena
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
| | - Holden Verdeprado
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
| | - Rosemary Murori
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- International Rice Research Institute (IRRI) C/O ILRI, Old Naivasha Road, PO Box 30709, 00100, Nairobi, Kenya
| | - Alexis Ndayiragije
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- Institiuto de Investigação de Moçambique (IIAM), Av. das FPLM nr 2698, Recinto do IIAM, Maputo, Mozambique
| | - Sanjay Kumar Katiyar
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- International Rice Research Institute, South Asia Hub, ICRISAT, Hyderabad, 502324, India
| | - Md Rafiqul Islam
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- Bangladesh Office, International Rice Research Institute (IRRI), Dhaka, Bangladesh
| | - Partha S Biswas
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- Plant Breeding Division, Bangladesh Rice Research Institute (BRRI), Gazipur, Bangladesh
| | - Jessica E Rutkoski
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- University of Illinois at Urbana-Champaign, Urbana, USA, Illinois
| | - Juan D Arbelaez
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines
- University of Illinois at Urbana-Champaign, Urbana, USA, Illinois
| | - Felister N Mbute
- Department of Plant Science and Crop Protection, University of Nairobi, PO Box 29053, 00625, Kangemi, Kenya
| | - Douglas W Miano
- Department of Plant Science and Crop Protection, University of Nairobi, PO Box 29053, 00625, Kangemi, Kenya
| | - Joshua N Cobb
- Rice Breeding Innovations Platform, International Rice Research Institute, 1301 Los Baños, Metro, DAPO Box 7777, Manila, Philippines.
- RiceTec. Inc, PO Box 1305, Alvin, TX, 77512, USA.
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9
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Jordan KW, Bradbury PJ, Miller ZR, Nyine M, He F, Fraser M, Anderson J, Mason E, Katz A, Pearce S, Carter AH, Prather S, Pumphrey M, Chen J, Cook J, Liu S, Rudd JC, Wang Z, Chu C, Ibrahim AMH, Turkus J, Olson E, Nagarajan R, Carver B, Yan L, Taagen E, Sorrells M, Ward B, Ren J, Akhunova A, Bai G, Bowden R, Fiedler J, Faris J, Dubcovsky J, Guttieri M, Brown-Guedira G, Buckler E, Jannink JL, Akhunov ED. Development of the Wheat Practical Haplotype Graph Database as a Resource for Genotyping Data Storage and Genotype Imputation. G3-GENES GENOMES GENETICS 2021; 12:6423995. [PMID: 34751373 PMCID: PMC9210282 DOI: 10.1093/g3journal/jkab390] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/11/2021] [Accepted: 10/21/2021] [Indexed: 12/04/2022]
Abstract
To improve the efficiency of high-density genotype data storage and imputation in bread wheat (Triticum aestivum L.), we applied the Practical Haplotype Graph (PHG) tool. The Wheat PHG database was built using whole-exome capture sequencing data from a diverse set of 65 wheat accessions. Population haplotypes were inferred for the reference genome intervals defined by the boundaries of the high-quality gene models. Missing genotypes in the inference panels, composed of wheat cultivars or recombinant inbred lines genotyped by exome capture, genotyping-by-sequencing (GBS), or whole-genome skim-seq sequencing approaches, were imputed using the Wheat PHG database. Though imputation accuracy varied depending on the method of sequencing and coverage depth, we found 92% imputation accuracy with 0.01× sequence coverage, which was slightly lower than the accuracy obtained using the 0.5× sequence coverage (96.6%). Compared to Beagle, on average, PHG imputation was ∼3.5% (P-value < 2 × 10−14) more accurate, and showed 27% higher accuracy at imputing a rare haplotype introgressed from a wild relative into wheat. We found reduced accuracy of imputation with independent 2× GBS data (88.6%), which increases to 89.2% with the inclusion of parental haplotypes in the database. The accuracy reduction with GBS is likely associated with the small overlap between GBS markers and the exome capture dataset, which was used for constructing PHG. The highest imputation accuracy was obtained with exome capture for the wheat D genome, which also showed the highest levels of linkage disequilibrium and proportion of identity-by-descent regions among accessions in the PHG database. We demonstrate that genetic mapping based on genotypes imputed using PHG identifies SNPs with a broader range of effect sizes that together explain a higher proportion of genetic variance for heading date and meiotic crossover rate compared to previous studies.
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Affiliation(s)
- Katherine W Jordan
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA.,USDA-ARS, Hard Winter Wheat Genetics Research Unit, Manhattan, KS, 66502, USA
| | - Peter J Bradbury
- USDA-ARS, Plant Soil and Nutrition Research Unit, Ithaca, NY, 14853, USA
| | - Zachary R Miller
- Institute for Genomic Diversity, Cornell University, Ithaca, NY, 14853, USA
| | - Moses Nyine
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA
| | - Fei He
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA
| | - Max Fraser
- Department of Agronomy and Plant Genetics, University of Minnesota, St. Paul, MN, 55108, USA
| | - Jim Anderson
- Department of Agronomy and Plant Genetics, University of Minnesota, St. Paul, MN, 55108, USA
| | - Esten Mason
- Department of Soil and Crop Sciences, Colorado State University, Fort Collins, CO, 80521, USA
| | - Andrew Katz
- Department of Soil and Crop Sciences, Colorado State University, Fort Collins, CO, 80521, USA
| | - Stephen Pearce
- Department of Soil and Crop Sciences, Colorado State University, Fort Collins, CO, 80521, USA
| | - Arron H Carter
- Department of Crop and Soil Sciences, Washington State University, Pullman, WA, 99164, USA
| | - Samuel Prather
- Department of Crop and Soil Sciences, Washington State University, Pullman, WA, 99164, USA
| | - Michael Pumphrey
- Department of Crop and Soil Sciences, Washington State University, Pullman, WA, 99164, USA
| | - Jianli Chen
- Department of Plant Sciences, University of Idaho, Aberdeen, ID, 83210, USA
| | - Jason Cook
- Department of Plant Sciences and Plant Pathology, Montana State University, Bozeman, MT, 59717, USA
| | - Shuyu Liu
- Department of Soil and Crop Sciences, Texas A&M AgriLife Research, Amarillo, TX, 79106, USA
| | - Jackie C Rudd
- Department of Soil and Crop Sciences, Texas A&M AgriLife Research, Amarillo, TX, 79106, USA
| | - Zhen Wang
- Department of Soil and Crop Sciences, Texas A&M AgriLife Research, Amarillo, TX, 79106, USA
| | - Chenggen Chu
- Department of Soil and Crop Sciences, Texas A&M AgriLife Research, Amarillo, TX, 79106, USA
| | - Amir M H Ibrahim
- Department of Soil and Crop Sciences, Texas A&M AgriLife Research, Amarillo, TX, 79106, USA
| | - Jonathan Turkus
- Department of Plant, Soil and Microbial Sciences, Michigan State University, East Lansing, MI, 48824, USA
| | - Eric Olson
- Department of Plant, Soil and Microbial Sciences, Michigan State University, East Lansing, MI, 48824, USA
| | - Ragupathi Nagarajan
- Department of Plant and Soil Sciences, Oklahoma State University, Stillwater, OK, 74075, USA
| | - Brett Carver
- Department of Plant and Soil Sciences, Oklahoma State University, Stillwater, OK, 74075, USA
| | - Liuling Yan
- Department of Plant and Soil Sciences, Oklahoma State University, Stillwater, OK, 74075, USA
| | - Ellie Taagen
- Institute for Genomic Diversity, Cornell University, Ithaca, NY, 14853, USA
| | - Mark Sorrells
- Institute for Genomic Diversity, Cornell University, Ithaca, NY, 14853, USA
| | - Brian Ward
- USDA-ARS, Plant Science Research Unit, Raleigh, NC, 27695, USA
| | - Jie Ren
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA.,Integrative Genomics Facility, Kansas State University, Manhattan, KS, 66506 USA
| | - Alina Akhunova
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA.,Integrative Genomics Facility, Kansas State University, Manhattan, KS, 66506 USA
| | - Guihua Bai
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Manhattan, KS, 66502, USA
| | - Robert Bowden
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Manhattan, KS, 66502, USA
| | - Jason Fiedler
- USDA-ARS, Cereal Crops Research Unit, Fargo, ND, 58102, USA
| | - Justin Faris
- USDA-ARS, Cereal Crops Research Unit, Fargo, ND, 58102, USA
| | - Jorge Dubcovsky
- Department of Plant Sciences, University of California-Davis, Davis, CA, 95616, USA
| | - Mary Guttieri
- USDA-ARS, Hard Winter Wheat Genetics Research Unit, Manhattan, KS, 66502, USA
| | | | - Ed Buckler
- USDA-ARS, Plant Soil and Nutrition Research Unit, Ithaca, NY, 14853, USA
| | - Jean-Luc Jannink
- USDA-ARS, Plant Soil and Nutrition Research Unit, Ithaca, NY, 14853, USA
| | - Eduard D Akhunov
- Department of Plant Pathology, Kansas State University, Manhattan, KS, 66506, USA
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10
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Vasumathy SK, Alagu M. SSR marker-based genetic diversity analysis and SNP haplotyping of genes associating abiotic and biotic stress tolerance, rice growth and development and yield across 93 rice landraces. Mol Biol Rep 2021; 48:5943-5953. [PMID: 34319545 DOI: 10.1007/s11033-021-06595-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2021] [Accepted: 07/24/2021] [Indexed: 10/20/2022]
Abstract
BACKGROUND As rice is the staple food for more than half of the world's population, enhancing grain yield irrespective of the variable climatic conditions is indispensable. Many traditionally cultivated rice landraces are well adapted to severe environmental conditions and have high genetic diversity that could play an important role in crop improvement. METHODS AND RESULTS The present study revealed a high level of genetic diversity among the unexploited rice landraces cultivated by the farmers of Kerala. Twelve polymorphic markers detected a total of seventy- seven alleles with an average of 6.416 alleles per locus. Polymorphic Information Content (PIC) value ranged from 0.459 to 0.809, and to differentiate the rice genotypes, RM 242 was found to be the most appropriate marker with a high value of 0.809. The current study indicated that the rice landraces are highly diverse with higher values of the adequate number of alleles, PIC, and Shannon information index. Utilizing these informative SSR markers for future molecular characterization and population genetic studies in rice landraces are advisable. Haplotypes are sets of genomic regions within a chromosome inherited together, and haplotype-based breeding is a promising strategy for designing next-generation rice varieties. Here, haplotype analysis explored 270 haplotype blocks and 775 haplotypes from all the chromosomes of landraces under study. The number of SNPs in each haplotype block ranged from two to 28. Haplotypes of genes related to biotic and abiotic stress tolerance, yield-enhancing, and growth and development in rice landraces were also elucidated in the current study. CONCLUSIONS The present investigation revealed the genetic diversity of rice landraces and the haplotype analysis will open the way for genome-wide association studies, QTL identification, and marker-assisted selection in the unexplored rice landraces collected from Kerala.
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Affiliation(s)
| | - Manickavelu Alagu
- Department of Genomic Science, Central University of Kerala, Periye, Kasaragod, Kerala, 671316, India.
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11
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Nyine M, Adhikari E, Clinesmith M, Aiken R, Betzen B, Wang W, Davidson D, Yu Z, Guo Y, He F, Akhunova A, Jordan KW, Fritz AK, Akhunov E. The Haplotype-Based Analysis of Aegilops tauschii Introgression Into Hard Red Winter Wheat and Its Impact on Productivity Traits. FRONTIERS IN PLANT SCIENCE 2021; 12:716955. [PMID: 34484280 PMCID: PMC8416154 DOI: 10.3389/fpls.2021.716955] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/29/2021] [Accepted: 07/20/2021] [Indexed: 05/13/2023]
Abstract
The introgression from wild relatives have a great potential to broaden the availability of beneficial allelic diversity for crop improvement in breeding programs. Here, we assessed the impact of the introgression from 21 diverse accessions of Aegilops tauschii, the diploid ancestor of the wheat D genome, into 6 hard red winter wheat cultivars on yield and yield component traits. We used 5.2 million imputed D genome SNPs identified by the whole-genome sequencing of parental lines and the sequence-based genotyping of introgression population, including 351 BC1F3:5 lines. Phenotyping data collected from the irrigated and non-irrigated field trials revealed that up to 23% of the introgression lines (ILs) produce more grain than the parents and check cultivars. Based on 16 yield stability statistics, the yield of 12 ILs (3.4%) was stable across treatments, years, and locations; 5 of these lines were also high yielding lines, producing 9.8% more grain than the average yield of check cultivars. The most significant SNP- and haplotype-trait associations were identified on chromosome arms 2DS and 6DL for the spikelet number per spike (SNS), on chromosome arms 2DS, 3DS, 5DS, and 7DS for grain length (GL) and on chromosome arms 1DL, 2DS, 6DL, and 7DS for grain width (GW). The introgression of haplotypes from A. tauschii parents was associated with an increase in SNS, which was positively correlated with a heading date (HD), whereas the haplotypes from hexaploid wheat parents were associated with an increase in GW. We show that the haplotypes on 2DS associated with an increase in the spikelet number and HD are linked with multiple introgressed alleles of Ppd-D1 identified by the whole-genome sequencing of A. tauschii parents. Meanwhile, some introgressed haplotypes exhibited significant pleiotropic effects with the direction of effects on the yield component traits being largely consistent with the previously reported trade-offs, there were haplotype combinations associated with the positive trends in yield. The characterized repertoire of the introgressed haplotypes derived from A. tauschii accessions with the combined positive effects on yield and yield component traits in elite germplasm provides a valuable source of alleles for improving the productivity of winter wheat by optimizing the contribution of component traits to yield.
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Affiliation(s)
- Moses Nyine
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Elina Adhikari
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Marshall Clinesmith
- Department of Agronomy, Kansas State University, Manhattan, KS, United States
| | - Robert Aiken
- Department of Agronomy, Kansas State University, Manhattan, KS, United States
| | - Bliss Betzen
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Wei Wang
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Dwight Davidson
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Zitong Yu
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Yuanwen Guo
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Fei He
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
| | - Alina Akhunova
- Integrated Genomics Facility, Kansas State University, Manhattan, KS, United States
| | - Katherine W. Jordan
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
- United States Department of Agriculture, Agricultural Research Service Hard Winter Wheat Genetics Research Unit, Manhattan, KS, United States
| | - Allan K. Fritz
- Department of Agronomy, Kansas State University, Manhattan, KS, United States
| | - Eduard Akhunov
- Department of Plant Pathology, Kansas State University, Manhattan, KS, United States
- *Correspondence: Eduard Akhunov
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12
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Genomic Patterns of Introgression in Interspecific Populations Created by Crossing Wheat with Its Wild Relative. G3-GENES GENOMES GENETICS 2020; 10:3651-3661. [PMID: 32737066 PMCID: PMC7534432 DOI: 10.1534/g3.120.401479] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
Introgression from wild relatives is a valuable source of novel allelic diversity for breeding. We investigated the genomic patterns of introgression from Aegilops tauschii, the diploid ancestor of the wheat D genome, into winter wheat (Triticum aestivum) cultivars. The population of 351 BC1F3:5 lines was selected based on phenology from crosses between six hexaploid wheat lines and 21 wheat-Ae. tauschii octoploids. SNP markers developed for this population and a diverse panel of 116 Ae. tauschii accessions by complexity-reduced genome sequencing were used to detect introgression based on the identity-by-descent analysis. Overall, introgression frequency positively correlated with recombination rate, with a high incidence of introgression at the ends of chromosomes and low in the pericentromeric regions, and was negatively related to sequence divergence between the parental genomes. Reduced introgression in the pericentromeric low-recombining regions spans nearly 2/3 of each chromosome arm, suggestive of the polygenic nature of introgression barriers that could be associated with multilocus negative epistasis between the alleles of wild and cultivated wheat. On the contrary, negative selection against the wild allele of Tg, controlling free-threshing trait and located in the high-recombining chromosomal region, led to reduced introgression only within ∼10 Mbp region around Tg. These results are consistent with the effect of selection on linked variation described by the Hill-Robertson effect, and offer insights into the introgression population development for crop improvement to maximize retention of introgressed diversity across entire genome.
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13
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Rahimi Y, Bihamta MR, Taleei A, Alipour H, Ingvarsson PK. Genome-wide association study of agronomic traits in bread wheat reveals novel putative alleles for future breeding programs. BMC PLANT BIOLOGY 2019; 19:541. [PMID: 31805861 PMCID: PMC6896361 DOI: 10.1186/s12870-019-2165-4] [Citation(s) in RCA: 55] [Impact Index Per Article: 11.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2019] [Accepted: 11/26/2019] [Indexed: 05/22/2023]
Abstract
BACKGROUND Identification of loci for agronomic traits and characterization of their genetic architecture are crucial in marker-assisted selection (MAS). Genome-wide association studies (GWAS) have increasingly been used as potent tools in identifying marker-trait associations (MTAs). The introduction of new adaptive alleles in the diverse genetic backgrounds may help to improve grain yield of old or newly developed varieties of wheat to balance supply and demand throughout the world. Landraces collected from different climate zones can be an invaluable resource for such adaptive alleles. RESULTS GWAS was performed using a collection of 298 Iranian bread wheat varieties and landraces to explore the genetic basis of agronomic traits during 2016-2018 cropping seasons under normal (well-watered) and stressed (rain-fed) conditions. A high-quality genotyping by sequencing (GBS) dataset was obtained using either all original single nucleotide polymorphism (SNP, 10938 SNPs) or with additional imputation (46,862 SNPs) based on W7984 reference genome. The results confirm that the B genome carries the highest number of significant marker pairs in both varieties (49,880, 27.37%) and landraces (55,086, 28.99%). The strongest linkage disequilibrium (LD) between pairs of markers was observed on chromosome 2D (0.296). LD decay was lower in the D genome, compared to the A and B genomes. Association mapping under two tested environments yielded a total of 313 and 394 significant (-log10 P >3) MTAs for the original and imputed SNP data sets, respectively. Gene ontology results showed that 27 and 27.5% of MTAs of SNPs in the original set were located in protein-coding regions for well-watered and rain-fed conditions, respectively. While, for the imputed data set 22.6 and 16.6% of MTAs represented in protein-coding genes for the well-watered and rain-fed conditions, respectively. CONCLUSIONS Our finding suggests that Iranian bread wheat landraces harbor valuable alleles that are adaptive under drought stress conditions. MTAs located within coding genes can be utilized in genome-based breeding of new wheat varieties. Although imputation of missing data increased the number of MTAs, the fraction of these MTAs located in coding genes were decreased across the different sub-genomes.
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Affiliation(s)
- Yousef Rahimi
- Department of Agronomy and Plant Breeding, Faculty of Agriculture, University of Tehran, Karaj, Iran
- Linnean Centre for Plant Biology, Department of Plant Biology, Swedish University of Agricultural Sciences, Uppsala, Sweden
| | - Mohammad Reza Bihamta
- Department of Agronomy and Plant Breeding, Faculty of Agriculture, University of Tehran, Karaj, Iran.
| | - Alireza Taleei
- Department of Agronomy and Plant Breeding, Faculty of Agriculture, University of Tehran, Karaj, Iran
| | - Hadi Alipour
- Department of Plant Breeding and Biotechnology, Faculty of Agriculture, Urmia University, Urmia, Iran
| | - Pär K Ingvarsson
- Linnean Centre for Plant Biology, Department of Plant Biology, Swedish University of Agricultural Sciences, Uppsala, Sweden
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14
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Ballesta P, Maldonado C, Pérez-Rodríguez P, Mora F. SNP and Haplotype-Based Genomic Selection of Quantitative Traits in Eucalyptus globulus. PLANTS 2019; 8:plants8090331. [PMID: 31492041 PMCID: PMC6783840 DOI: 10.3390/plants8090331] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/25/2019] [Revised: 09/02/2019] [Accepted: 09/03/2019] [Indexed: 01/02/2023]
Abstract
Eucalyptus globulus (Labill.) is one of the most important cultivated eucalypts in temperate and subtropical regions and has been successfully subjected to intensive breeding. In this study, Bayesian genomic models that include the effects of haplotype and single nucleotide polymorphisms (SNP) were assessed to predict quantitative traits related to wood quality and tree growth in a 6-year-old breeding population. To this end, the following markers were considered: (a) ~14 K SNP markers (SNP), (b) ~3 K haplotypes (HAP), and (c) haplotypes and SNPs that were not assigned to a haplotype (HAP-SNP). Predictive ability values (PA) were dependent on the genomic prediction models and markers. On average, Bayesian ridge regression (BRR) and Bayes C had the highest PA for the majority of traits. Notably, genomic models that included the haplotype effect (either HAP or HAP-SNP) significantly increased the PA of low-heritability traits. For instance, BRR based on HAP had the highest PA (0.58) for stem straightness. Consistently, the heritability estimates from genomic models were higher than the pedigree-based estimates for these traits. The results provide additional perspectives for the implementation of genomic selection in Eucalyptus breeding programs, which could be especially beneficial for improving traits with low heritability.
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Affiliation(s)
- Paulina Ballesta
- Institute of Biological Sciences, University of Talca, 2 Norte 685, Talca 3460000, Chile.
| | - Carlos Maldonado
- Institute of Biological Sciences, University of Talca, 2 Norte 685, Talca 3460000, Chile.
| | - Paulino Pérez-Rodríguez
- Colegio de Postgraduados, Statistics and Computer Sciences, Montecillos, Edo. de México 56230, Mexico.
| | - Freddy Mora
- Institute of Biological Sciences, University of Talca, 2 Norte 685, Talca 3460000, Chile.
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