Free Standard AU & NZ Shipping For All Book Orders Over $80!
Register      Login
Animal Production Science Animal Production Science Society
Food, fibre and pharmaceuticals from animals
RESEARCH ARTICLE

Effect of minor allele frequency and density of single nucleotide polymorphism marker arrays on imputation performance and prediction ability using the single-step genomic Best Linear Unbiased Prediction in a simulated beef cattle population

Juan Diego Rodríguez https://orcid.org/0000-0002-6349-5966 A * , Elisa Peripolli https://orcid.org/0000-0002-0962-6603 A , Marisol Londoño-Gil https://orcid.org/0000-0001-6522-5567 A , Rafael Espigolan https://orcid.org/0000-0003-2586-1643 B , Raysildo Barbosa Lôbo https://orcid.org/0000-0001-6016-5817 C , Rodrigo López-Correa https://orcid.org/0000-0003-3191-5054 D , Ignacio Aguilar https://orcid.org/0000-0002-1038-4752 E and Fernando Baldi https://orcid.org/0000-0003-4094-2011 A
+ Author Affiliations
- Author Affiliations

A Faculdade de Ciências Agrarias e Veterinárias, Departamento de Zootecnia, Universidade Estadual Paulista (Unesp), Jaboticabal, 14884-900, Brazil.

B Faculdade de Zootecnia e Engenharia de Alimentos, Departamento de Medicina Veterinária, Universidade de São Paulo (Usp), Pirassununga, 13535-900, Brazil.

C Associação Nacional de Criadores e Pesquisadores, Ribeirão Preto, Brazil.

D Facultad de Veterinaria, Departamento de Genética y Mejoramiento Animal, Universidad de la República, Montevideo, Uruguay.

E Instituto Nacional de Investigación Agropecuaria, Montevideo, Uruguay.

* Correspondence to: juan.diego@unesp.br

Handling Editor: Kim Bunter

Animal Production Science 63(9) 844-852 https://doi.org/10.1071/AN21581
Submitted: 1 December 2021  Accepted: 1 March 2023   Published: 4 April 2023

© 2023 The Author(s) (or their employer(s)). Published by CSIRO Publishing

Abstract

Context: In beef cattle populations, there is little evidence regarding the minimum number of genetic markers needed to obtain reliable genomic prediction and imputed genotypes.

Aims: This study aimed to evaluate the impact of single nucleotide polymorphism (SNP) marker density and minor allele frequency (MAF), on genomic predictions and imputation performance for high and low heritability traits using the single-step genomic Best Linear Unbiased Prediction methodology (ssGBLUP) in a simulated beef cattle population.

Methods: The simulated genomic and phenotypic data were obtained through QMsim software. 735 293 SNPs markers and 7000 quantitative trait loci (QTL) were randomly simulated. The mutation rate (10−5), QTL effects distribution (gamma distribution with shape parameter = 0.4) and minor allele frequency (MAF ≥ 0.02) of markers were used for quality control. A total of 335k SNPs (high density, HD) and 1000 QTLs were finally considered. Densities of 33 500 (35k), 16 750 (16k), 4186 (4k) and 2093 (2k) SNPs were customised through windows of 10, 20, 80 and 160 SNPs by chromosome, respectively. Three marker selection criteria were used within windows: (1) informative markers with MAF values close to 0.5 (HI); (2) less informative markers with the lowest MAF values (LI); (3) markers evenly distributed (ED). We evaluated the prediction of the high-density array and of 12 scenarios of customised SNP arrays, further the imputation performance of them. The genomic predictions and imputed genotypes were obtained with Blupf90 and FImpute software, respectively, and statistics parameters were applied to evaluate the accuracy of genotypes imputed. The Pearson’s correlation, the coefficient of regression, and the difference between genomic predictions and true breeding values were used to evaluate the prediction ability (PA), inflation (b), and bias (d), respectively.

Key results: Densities above 16k SNPs using HI and ED criteria displayed lower b, higher PA and higher imputation accuracy. Consequently, similar values of PA, b and d were observed with the use of imputed genotypes. The LI criterion with densities higher than 35k SNPs, showed higher PA and similar predictions using imputed genotypes, however lower b and quality of imputed genotypes were observed.

Conclusion: The results obtained showed that at least 5% of HI or ED SNPs available in the HD array are necessary to obtain reliable genomic predictions and imputed genotypes.

Implications: The development of low-density customised arrays based on criteria of MAF and even distribution of SNPs, might be a cost-effective and feasible approach to implement genomic selection in beef cattle.

Keywords: bias, bovine, customised SNP arrays, genomic selection, imputation accuracy, inflation, MAF, simulation.


References

Aguilar I, Misztal I, Johnson DL, Legarra A, Tsuruta S, Lawlor TJ (2010) Hot topic: a unified approach to utilize phenotypic, full pedigree, and genomic information for genetic evaluation of Holstein final score. Journal of Dairy Science 93, 743–752.
Hot topic: a unified approach to utilize phenotypic, full pedigree, and genomic information for genetic evaluation of Holstein final score.Crossref | GoogleScholarGoogle Scholar |

Aguilar I, Misztal I, Tsuruta S, Legarra A, Wang H, Aguilar I, Misztal I, Tsuruta S, Legarra A, Wang H (2014) PREGSF90-POSTGSF90: Computational tools for the implementation of single-step genomic selection and genome-wide association with ungenotyped individuals in BLUPF90 programs. In ‘Proceedings, 10th World congress of genetics applied to livestock production, Vancouver, BC, Canada.’ (American Society of Animal Science)

Aliloo H, Mrode R, Okeyo AM, Ni G, Goddard ME, Gibson JP (2018a) The feasibility of using low-density marker panels for genotype imputation and genomic prediction of crossbred dairy cattle of East Africa. Journal of Dairy Science 101, 9108–9127.
The feasibility of using low-density marker panels for genotype imputation and genomic prediction of crossbred dairy cattle of East Africa.Crossref | GoogleScholarGoogle Scholar |

Aliloo H, Mrode R, Okeyo M, Ojango J, Dessie T, Rege E, Goddard M, Gibson J (2018b) Optimal design of low density marker panels for genotype imputation. In ‘Proceedings of the world congress on genetics applied to livestock production’. vol. 11, p. 146. Available at http://www.wcgalp.org/proceedings/2018/optimal-design-low-density-marker-panels-genotype-imputation

Barjasteh S, Dashab GR, Rokouei M, Shariati MM, Vafaye Valleh M (2020) Comparing different marker densities and various reference populations using pedigree-marker Best Linear Unbiased Prediction (BLUP) model. Iranian Journal of Applied Animal Science 10, 231–239.

Bernardes PA, Nascimento GB, Savegnago RP, Buzanskas ME, Watanabe RN, de Almeida Regitano LC, Coutinho LL, Gondro C, Munari DP (2019) Evaluation of imputation accuracy using the combination of two high-density panels in Nelore beef cattle. Scientific Reports 9, 17920
Evaluation of imputation accuracy using the combination of two high-density panels in Nelore beef cattle.Crossref | GoogleScholarGoogle Scholar |

Berry DP, Mcclure MC, Mullen MP (2014) Within- and across-breed imputation of high-density genotypes in dairy and beef cattle from medium-and low-density genotypes. Journal of Animal Breeding and Genetics 131, 165–172.
Within- and across-breed imputation of high-density genotypes in dairy and beef cattle from medium-and low-density genotypes.Crossref | GoogleScholarGoogle Scholar |

Berry DP, Mchugh N, Randles S, Wall E, Mcdermott K, Sargolzaei M, O’brien AC (2018) Imputation of non-genotyped sheep from the genotypes of their mates and resulting progeny. Animal 12, 191–198.
Imputation of non-genotyped sheep from the genotypes of their mates and resulting progeny.Crossref | GoogleScholarGoogle Scholar |

Boichard D, Chung H, Dassonneville R, David X, Eggen A, Fritz S, Gietzen KJ, Hayes BJ, Lawley CT, Sonstegard TS, van Tassell CP, VanRaden PM, Viaud-Martinez KA, Wiggans GR, Bovine LD Consortium (2012) Design of a bovine low-density snp array optimized for imputation. PLoS ONE 7, e34130
Design of a bovine low-density snp array optimized for imputation.Crossref | GoogleScholarGoogle Scholar |

BREEDPLAN (2022) Sell stock with confidence. BREEDPLAN. Available at https://breedplan.une.edu.au/

Brito FV, Neto JB, Sargolzaei M, Cobuci JA, Schenkel FS (2011) Accuracy of genomic selection in simulated populations mimicking the extent of linkage disequilibrium in beef cattle. BMC Genetics 12, 80
Accuracy of genomic selection in simulated populations mimicking the extent of linkage disequilibrium in beef cattle.Crossref | GoogleScholarGoogle Scholar |

Carvalheiro R, Boison SA, Neves HHR, Sargolzaei M, Schenkel FS, Utsunomiya YT, O’Brien AMP, Sölkner J, McEwan JC, van Tassell CP, Sonstegard TS, Garcia JF (2014) Accuracy of genotype imputation in Nelore cattle. Genetics Selection Evolution 46, 69
Accuracy of genotype imputation in Nelore cattle.Crossref | GoogleScholarGoogle Scholar |

Chen CY, Misztal I, Aguilar I, Legarra A, Muir WM (2011) Effect of different genomic relationship matrices on accuracy and scale. Journal of Animal Science 89, 2673–2679.
Effect of different genomic relationship matrices on accuracy and scale.Crossref | GoogleScholarGoogle Scholar |

Daetwyler HD, Pong-Wong R, Villanueva B, Woolliams JA (2010) The impact of genetic architecture on genome-wide evaluation methods. Genetics 185, 1021–1031.
The impact of genetic architecture on genome-wide evaluation methods.Crossref | GoogleScholarGoogle Scholar |

Dassonneville R, Fritz S, Ducrocq V, Boichard D (2012) Short communication: imputation performances of 3 low-density marker panels in beef and dairy cattle. Journal of Dairy Science 95, 4136–4140.
Short communication: imputation performances of 3 low-density marker panels in beef and dairy cattle.Crossref | GoogleScholarGoogle Scholar |

de Lima LG, de Souza NOB, Rios RR, de Melo BA, dos Santos LTA, Silva KM, Murphy TW, Fraga AB (2020) Advances in molecular genetic techniques applied to selection for litter size in goats (Capra hircus): a review. Journal of Applied Animal Research 48, 38–44.
Advances in molecular genetic techniques applied to selection for litter size in goats (Capra hircus): a review.Crossref | GoogleScholarGoogle Scholar |

de los Campos G, Hickey JM, Pong-Wong R, Daetwyler HD, Calus MPL (2013) Whole-genome regression and prediction methods applied to plant and animal breeding. Genetics 193, 327–345.
Whole-genome regression and prediction methods applied to plant and animal breeding.Crossref | GoogleScholarGoogle Scholar |

Garrick DJ, Taylor JF, Fernando RL (2009) Deregressing estimated breeding values and weighting information for genomic regression analyses. Genetics Selection Evolution 41, 55
Deregressing estimated breeding values and weighting information for genomic regression analyses.Crossref | GoogleScholarGoogle Scholar |

Goddard M (2009) Genomic selection: prediction of accuracy and maximisation of long term response. Genetica 136, 245–257.
Genomic selection: prediction of accuracy and maximisation of long term response.Crossref | GoogleScholarGoogle Scholar |

Goddard ME (2017) Can we make genomic selection 100% accurate? Journal of Animal Breeding and Genetics 134, 287–288.
Can we make genomic selection 100% accurate?Crossref | GoogleScholarGoogle Scholar |

Goddard ME, Hayes BJ (2009) Mapping genes for complex traits in domestic animals and their use in breeding programmes. Nature Reviews Genetics 10, 381–391.
Mapping genes for complex traits in domestic animals and their use in breeding programmes.Crossref | GoogleScholarGoogle Scholar |

Goddard ME, Hayes BJ, Meuwissen THE (2011) Using the genomic relationship matrix to predict the accuracy of genomic selection. Journal of Animal Breeding and Genetics 128, 409–421.
Using the genomic relationship matrix to predict the accuracy of genomic selection.Crossref | GoogleScholarGoogle Scholar |

Hayes B, Goddard ME (2001) The distribution of the effects of genes affecting quantitative traits in livestock. Genetics Selection Evolution 33, 209–229.
The distribution of the effects of genes affecting quantitative traits in livestock.Crossref | GoogleScholarGoogle Scholar |

Hayes BJ, Bowman PJ, Daetwyler HD, Kijas JW, van der Werf JHJ (2012) Accuracy of genotype imputation in sheep breeds. Animal Genetics 43, 72–80.
Accuracy of genotype imputation in sheep breeds.Crossref | GoogleScholarGoogle Scholar |

He S, Wang S, Fu W, Ding X, Zhang Q (2015) Imputation of missing genotypes from low- to high-density SNP panel in different population designs. Animal Genetics 46, 1–7.
Imputation of missing genotypes from low- to high-density SNP panel in different population designs.Crossref | GoogleScholarGoogle Scholar |

Henderson CR (1949) Estimation of changes in herd environment. Journal of Dairy Science 32, 706

Judge MM, Kearney JF, McClure MC, Sleator RD, Berry DP (2016) Evaluation of developed low-density genotype panels for imputation to higher density in independent dairy and beef cattle populations. Journal of Animal Science 94, 949–962.
Evaluation of developed low-density genotype panels for imputation to higher density in independent dairy and beef cattle populations.Crossref | GoogleScholarGoogle Scholar |

Kranjčevičová A, Kašná E, Brzáková M, Přibyl J, Vostrý L (2019) Impact of reference population size and marker density on accuracy of population imputation. Czech Journal of Animal Science 64, 405–410.
Impact of reference population size and marker density on accuracy of population imputation.Crossref | GoogleScholarGoogle Scholar |

Lee SH, Clark S, van der Werf JHJ (2017) Estimation of genomic prediction accuracy from reference populations with varying degrees of relationship. PLoS ONE 12, e0189775
Estimation of genomic prediction accuracy from reference populations with varying degrees of relationship.Crossref | GoogleScholarGoogle Scholar |

Legarra A, Reverter A (2018) Semi-parametric estimates of population accuracy and bias of predictions of breeding values and future phenotypes using the LR method. Genetics Selection Evolution 50, 53
Semi-parametric estimates of population accuracy and bias of predictions of breeding values and future phenotypes using the LR method.Crossref | GoogleScholarGoogle Scholar |

Legarra A, Aguilar I, Misztal I (2009) A relationship matrix including full pedigree and genomic information. Journal of Dairy Science 92, 4656–4663.
A relationship matrix including full pedigree and genomic information.Crossref | GoogleScholarGoogle Scholar |

Liu Y, Xu L, Wang Z, Xu L, Chen Y, Zhang L, Xu L, Gao X, Gao H, Zhu B, Li J (2019) Genomic prediction and association analysis with models including dominance effects for important traits in Chinese simmental beef cattle. Animals 9, 1055
Genomic prediction and association analysis with models including dominance effects for important traits in Chinese simmental beef cattle.Crossref | GoogleScholarGoogle Scholar |

Lopez BI, Lee SH, Shin DH, Oh JD, Chai HH, Park W, Park JE, Lim D (2020) Accuracy of genomic evaluation using imputed high-density genotypes for carcass traits in commercial Hanwoo population. Livestock Science 241, 104256
Accuracy of genomic evaluation using imputed high-density genotypes for carcass traits in commercial Hanwoo population.Crossref | GoogleScholarGoogle Scholar |

Ma P, Lund MS, Nielsen US, Aamand GP, Su G (2015) Single-step genomic model improved reliability and reduced the bias of genomic predictions in Danish Jersey. Journal of Dairy Science 98, 9026–9034.
Single-step genomic model improved reliability and reduced the bias of genomic predictions in Danish Jersey.Crossref | GoogleScholarGoogle Scholar |

Meuwissen THE, Hayes BJ, Goddard ME (2001) Prediction of total genetic value using genome-wide dense marker maps. Genetics 157, 1819–1829.
Prediction of total genetic value using genome-wide dense marker maps.Crossref | GoogleScholarGoogle Scholar |

Meuwissen T, Hayes B, Goddard M (2013) Accelerating improvement of livestock with genomic selection. Annual Review of Animal Biosciences 1, 221–237.
Accelerating improvement of livestock with genomic selection.Crossref | GoogleScholarGoogle Scholar |

Meuwissen THE, Svendsen M, Solberg T, Ødegård J (2015) Genomic predictions based on animal models using genotype imputation on a national scale in Norwegian Red cattle. Genetics Selection Evolution 47, 79
Genomic predictions based on animal models using genotype imputation on a national scale in Norwegian Red cattle.Crossref | GoogleScholarGoogle Scholar |

Meuwissen T, Hayes B, Goddard M (2016) Genomic selection: a paradigm shift in animal breeding. Animal Frontiers 6, 6–14.
Genomic selection: a paradigm shift in animal breeding.Crossref | GoogleScholarGoogle Scholar |

Misztal I, Tsuruta S, Strabel T, Auvray B, Druet T, Lee DH (2002) BLUPF90 and related programs (BGF90). In ‘7th world congress on genetics applied to livestock production, 19–23 August 2002, Montpellier, France’. Available at http://www.wcgalp.org/system/files/proceedings/2002/blupf90-and-related-programs-bgf90.pdf

Misztal I, Legarra A, Aguilar I (2009) Computing procedures for genetic evaluation including phenotypic, full pedigree, and genomic information. Journal of Dairy Science 92, 4648–4655.
Computing procedures for genetic evaluation including phenotypic, full pedigree, and genomic information.Crossref | GoogleScholarGoogle Scholar |

Misztal I, Lourenco D, Legarra A (2020) Current status of genomic evaluation. Journal of Animal Science 98, skaa101
Current status of genomic evaluation.Crossref | GoogleScholarGoogle Scholar |

Moghaddar N, Gore KP, Daetwyler HD, Hayes BJ, van der Werf JHJ (2015) Accuracy of genotype imputation based on random and selected reference sets in purebred and crossbred sheep populations and its effect on accuracy of genomic prediction. Genetics Selection Evolution 47, 97
Accuracy of genotype imputation based on random and selected reference sets in purebred and crossbred sheep populations and its effect on accuracy of genomic prediction.Crossref | GoogleScholarGoogle Scholar |

Mulder HA, Calus MPL, Druet T, Schrooten C (2012) Imputation of genotypes with low-density chips and its effect on reliability of direct genomic values in Dutch Holstein cattle. Journal of Dairy Science 95, 876–889.
Imputation of genotypes with low-density chips and its effect on reliability of direct genomic values in Dutch Holstein cattle.Crossref | GoogleScholarGoogle Scholar |

Nordbø Ø, Gjuvsland AB, Eikje LS, Meuwissen T (2019) Level-biases in estimated breeding values due to the use of different SNP panels over time in ssGBLUP. Genetics Selection Evolution 51, 76
Level-biases in estimated breeding values due to the use of different SNP panels over time in ssGBLUP.Crossref | GoogleScholarGoogle Scholar |

O’Brien AC, Judge MM, Fair S, Berry DP (2019) High imputation accuracy from informative low-to-medium density single nucleotide polymorphism genotypes is achievable in sheep. Journal of Animal Science 97, 1550–1567.
High imputation accuracy from informative low-to-medium density single nucleotide polymorphism genotypes is achievable in sheep.Crossref | GoogleScholarGoogle Scholar |

Pimentel ECG, Edel C, Emmerling R, Götz KU (2015) How imputation errors bias genomic predictions. Journal of Dairy Science 98, 4131–4138.
How imputation errors bias genomic predictions.Crossref | GoogleScholarGoogle Scholar |

Pocrnic I, Lourenco DAL, Masuda Y, Legarra A, Misztal I (2016) The dimensionality of genomic information and its effect on genomic prediction. Genetics 203, 573
The dimensionality of genomic information and its effect on genomic prediction.Crossref | GoogleScholarGoogle Scholar |

Rolf MM, Taylor JF, Schnabel RD, McKay SD, McClure MC, Northcutt SL, Kerley MS, Weaber RL (2010) Impact of reduced marker set estimation of genomic relationship matrices on genomic selection for feed efficiency in Angus cattle. BMC Genetics 11, 24
Impact of reduced marker set estimation of genomic relationship matrices on genomic selection for feed efficiency in Angus cattle.Crossref | GoogleScholarGoogle Scholar |

Salvian M, Moreira GCM, Silveira RMF, Reis ÂP, D’auria BD, Pilonetto F, Gervásio IC, Ledur MC, Coutinho LL, Spangler ML, Mourão GB (2023) Estimation of breeding values using different densities of SNP to inform kinship in broiler chickens. Livestock Science 267, 105124
Estimation of breeding values using different densities of SNP to inform kinship in broiler chickens.Crossref | GoogleScholarGoogle Scholar |

Sargolzaei M, Schenkel FS (2009) QMSim: a large-scale genome simulator for livestock. Bioinformatics 25, 680–681.
QMSim: a large-scale genome simulator for livestock.Crossref | GoogleScholarGoogle Scholar |

Sargolzaei M, Chesnais JP, Schenkel FS (2014) A new approach for efficient genotype imputation using information from relatives. BMC Genomics 15, 478
A new approach for efficient genotype imputation using information from relatives.Crossref | GoogleScholarGoogle Scholar |

Silva RMO, Fragomeni BO, Lourenco DAL, Magalhães AFB, Irano N, Carvalheiro R, Canesin RC, Mercadante MEZ, Boligon AA, Baldi FS, Misztal I, Albuquerque LG (2016) Accuracies of genomic prediction of feed efficiency traits using different prediction and validation methods in an experimental Nelore cattle population. Journal of Animal Science 94, 3613–3623.
Accuracies of genomic prediction of feed efficiency traits using different prediction and validation methods in an experimental Nelore cattle population.Crossref | GoogleScholarGoogle Scholar |

Silveira LS, Lima LP, Nascimento M, Nascimento ACC, Silva FF (2020) Regression trees in genomic selection for carcass traits in pigs. Genetics and Molecular Research 19, GMR18498
Regression trees in genomic selection for carcass traits in pigs.Crossref | GoogleScholarGoogle Scholar |

Snelling WM, Chiu R, Schein JE, Hobbs M, Abbey CA, Adelson DL, Aerts J, Bennett GL, Bosdet IE, Boussaha M, Brauning R, Caetano AR, Costa MM, Crawford AM, Dalrymple BP, Eggen A, Everts-van der Wind A, Floriot S, Gautier M, Gill CA, Green RD, Holt R, Jann O, Jones SJ, Kappes SM, Keele JW, Jong PJ de, Larkin DM, Lewin HA, McEwan JC, McKay S, Marra MA, Mathewson CA, Matukumalli LK, Moore SS, Murdoch B, Nicholas FW, Osoegawa K, Roy A, Salih H, Schibler L, Schnabel RD, Silveri L, Skow LC, Smith TP, Sonstegard TS, Taylor JF, Tellam R, Van Tassell CP, Williams JL, Womack JE, Wye NH, Yang G, Zhao S, Consortium the IBBM (2007) A physical map of the bovine genome. Genome Biology 8, R165
A physical map of the bovine genome.Crossref | GoogleScholarGoogle Scholar |

VanRaden PM (2008) Efficient methods to compute genomic predictions. Journal of Dairy Science 91, 4414–4423.
Efficient methods to compute genomic predictions.Crossref | GoogleScholarGoogle Scholar |

VanRossum G, Drake FL (2009) ‘Python 3 Reference Manual.’ (CreateSpace: Scotts Valley, CA)

Wang J (2014) Marker-based estimates of relatedness and inbreeding coefficients: An assessment of current methods. Journal of Evolutionary Biology 27, 518–530.
Marker-based estimates of relatedness and inbreeding coefficients: An assessment of current methods.Crossref | GoogleScholarGoogle Scholar |

Wang Y, Lin G, Li C, Stothard P (2016) Genotype imputation methods and their effects on genomic predictions in cattle. Springer Science Reviews 4, 79–98.
Genotype imputation methods and their effects on genomic predictions in cattle.Crossref | GoogleScholarGoogle Scholar |

Wang Q, Yu Y, Li F, Zhang X, Xiang J (2017) Predictive ability of genomic selection models for breeding value estimation on growth traits of Pacific white shrimp Litopenaeus vannamei. Chinese Journal of Oceanology and Limnology 35, 1221–1229.
Predictive ability of genomic selection models for breeding value estimation on growth traits of Pacific white shrimp Litopenaeus vannamei.Crossref | GoogleScholarGoogle Scholar |

Wang X, Su G, Hao D, Lund MS, Kadarmideen HN (2020) Comparisons of improved genomic predictions generated by different imputation methods for genotyping by sequencing data in livestock populations. Journal of Animal Science and Biotechnology 11, 3
Comparisons of improved genomic predictions generated by different imputation methods for genotyping by sequencing data in livestock populations.Crossref | GoogleScholarGoogle Scholar |

Weigel KA, de los Campos G, Vazquez AI, Rosa GJM, Gianola D, van Tassell CP (2010) Accuracy of direct genomic values derived from imputed single nucleotide polymorphism genotypes in Jersey cattle. Journal of Dairy Science 93, 5423–5435.
Accuracy of direct genomic values derived from imputed single nucleotide polymorphism genotypes in Jersey cattle.Crossref | GoogleScholarGoogle Scholar |

Wu XL, Xu J, Feng G, Wiggans GR, Taylor JF, He J, Qian C, Qiu J, Simpson B, Walker J, Bauck S (2016) Optimal design of low-density SNP arrays for genomic prediction: Algorithm and applications. PLoS ONE 11, e0161719
Optimal design of low-density SNP arrays for genomic prediction: Algorithm and applications.Crossref | GoogleScholarGoogle Scholar |

Zhang H, Yin L, Wang M, Yuan X, Liu X (2019) Factors affecting the accuracy of genomic selection for agricultural economic traits in maize, cattle, and pig populations. Frontiers in Genetics 10, 189
Factors affecting the accuracy of genomic selection for agricultural economic traits in maize, cattle, and pig populations.Crossref | GoogleScholarGoogle Scholar |

Zhu B, Zhang JJ, Niu H, Guan L, Guo P, Xu LY, Chen Y, Zhang LP, Gao HJ, Gao X, Li JY (2017) Effects of marker density and minor allele frequency on genomic prediction for growth traits in Chinese Simmental beef cattle. Journal of Integrative Agriculture 16, 911–920.
Effects of marker density and minor allele frequency on genomic prediction for growth traits in Chinese Simmental beef cattle.Crossref | GoogleScholarGoogle Scholar |