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Table 2 Estimated genomic and metabolomic variances for malting quality traits using GBLUP and MGBLUP

From: Metabolomic-genomic prediction can improve prediction accuracy of breeding values for malting quality traits in barley

Trait

GBLUP

MGBLUP

\(\overline{G}{\sigma }_{g}^{2}\)( \({h}^{2}\))

Total

\(\overline{G} {\sigma }_{g,1}^{2}\) (\({h}_{d}^{2}\))

\(\overline{Q}{\sigma }_{u}^{2}\)(\({c}_{m}^{2}\))

Total

\({h}_{m}^{2}\)

\({h}^{2}\)

FS

0.014 (0.06)

0.236

0.005 (0.01)

0.345 (0.67)

0.516

0.17

0.12

EY

0.29 (0.17)

1.68

0.22 (0.07)

1.65 (0.52)

3.17

0.23

0.19

WC

0.14 (0.28)

0.50

0.04 (0.01)

3.15 (0.95)

3.32

0.28

0.28

BG

2625 (0.23)

11,636

348 (0.00)

111,868 (0.96)

116,102

0.27

0.27

WV

0.0004 (0.15)

0.0025

0.0001 (0.01)

0.0156 (0.91)

0.0170

0.25

0.24

  1. GBLUP  genomic best linear unbiased prediction, MGBLUP  metabolomic-genomic best linear unbiased prediction, FS  filtering speed, EY  extract yield, WC  wort color, BG  beta-glucan, WV  wort viscosity
  2. \(\overline{G}{\sigma }_{g}^{2}\): estimated genomic variance for GBLUP (\({h}^{2}\) is the heritability estimate for GBLUP, i.e. proportion of total phenotypic variance); total: total phenotypic variance (GBLUP); \(\overline{G} {\sigma }_{g,1}^{2}\): estimated direct genomic variance for MGBLUP (\({h}_{d}^{2}\) is the estimated direct heritability for MGBLUP, i.e. proportion of total phenotypic variance); \(\overline{Q}{\sigma }_{u}^{2}\): estimated metabolomic variance for MGBLUP (\({c}_{m}^{2}\) is the estimated metabolomic variance ratio for MGBLUP, i.e. proportion of total phenotypic variance); total: total phenotypic variance (MGBLUP); \({h}_{m}^{2}\): estimated heritability of metabolomic intensities; \({h}^{2}\): estimated heritability for MGBLUP, \({h}^{2}={c}_{m}^{2}{h}_{m}^{2}+{h}_{d}^{2}\). Standard errors on estimates are in Additional file 2: Tables S1 and S2)