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Table 2 Number of eigenvalues explaining 90, 95 or 98% of the variance for genomic relationship matrices

From: Incorporation of causative quantitative trait nucleotides in single-step GBLUP

Option

Number of eigenvalues

100 QTN

1000 QTN

90% eigenvalue

95% eigenvalue

98% eigenvalue

90% eigenvalue

95% eigenvalue

98% eigenvalue

60 k

8496

12,185

16,978

8502

12,192

16,984

60 K-BL5

9553

13,787

19,111

9560

13,796

19,120

60 K-GWAS3

4571

7537

13,139

4757

7704

13,230

60 K-QTN-BL5

9553

13,788

19,112

9563

13,806

19,136

60 k-QTN-BL5-TRUEd

76

1803

5093

469

1942

5140

60 k-QTN10-BL5-TRUEa,b,d

4054

8972

15,886

7482

13,320

19,918

60 K-QTN-BL5-GWAS3

4082

7084

12,880

4627

7594

13,186

QTN

88

94

98

793

872

930

QTN-BL5c

94

122

7639

863

980

7925

QTN-BL1c

89

95

127

806

888

995

  1. Options used to construct the genomic relation matrix: 60 k non-coding SNPs (60 k), all causative QTN (QTN), the top 10% causative SNPs (QTN10), blending at 5% (BL5) or 1% (BL1), weighted by the 3rd iteration of the single-step GWAS (GWAS3), and weighted by true QTN effects (TRUE) for datasets with 100 or 1000 causative QTN
  2. a10 eigenvalues explained 76% of the variance of \({\mathbf{G}}\) for the 100-QTN scenario
  3. b100 eigenvalues explained 71% of the variance of \({\mathbf{G}}\)
  4. cEigenvalues after number of QTN (100 or 1000) had values approaching 0 (below 10E−4)
  5. dSimulated true weights for QTN and a constant equal to the minimum QTN value for SNPs