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Table 5 Estimated variance components for survival time for lines B1 and BD, using pedigree relationships

From: Genomic prediction of survival time in a population of brown laying hens showing cannibalistic behavior

Variance component

Line B1

Line BD

\({{\hat{\varvec{\upsigma }}}}_{{\mathbf{e}}}^{{\bf 2}}\)

8885 ± 99

10,350 ± 156

\(\hat{\varvec{\sigma }}_{c}^{{\bf 2}}\)

1084 ± 72

1403 ± 118

\({{\hat{\varvec{\upsigma }}}}_{{{\mathbf{A}}_{{\mathbf{T}}} }}^{{\bf 2}}\)

1912 ± 244

2700 ± 424

\(\hat{\varvec{\sigma }}_{P}^{{\bf 2}}\)

10,446 ± 115

12,428 ± 189

\({{\hat{\varvec{\upsigma}}}}_{{{\bar{\mathbf{P}}}_{{{\mathbf{off}}}} }}^{{\bf 2}}\)

1327 ± 56

1280 ± 80

\({\hat{\mathbf{T}}}^{{\bf 2}}\)

0.18 ± 0.02

0.22 ± 0.03

  1. \({{\hat{\varvec{\upsigma}}}}_{{{\mathbf{A}}_{{\mathbf{T}}} }}^{{\bf 2}} = 4{{\hat{\varvec{\upsigma}}}}_{{\mathbf{u}}}^{{\bf 2}}\) is the total additive genetic variance, including both direct and the indirect components [43]
  2. \({{\hat{\varvec{\upsigma} }}}_{{{\bar{\mathbf{P}}}_{{{\mathbf{off}}}} }}^{{\bf 2}}\) is the variance of the mean progeny phenotype among sires. Its standard error is computed as \({{\hat{\varvec{\upsigma} }}}_{{{\bar{\mathbf{P}}}_{{{\mathbf{off}}}} }}^{{\bf 2}} \sqrt {\frac{2}{n - 1}}\), n denoting the number of sires
  3. \({\hat{\mathbf{T}}}^{{\bf 2}} = {{\hat{\varvec{\upsigma}}}}_{{{\mathbf{A}}_{{\mathbf{T}}} }}^{{\bf 2}} /{\hat{\varvec{\sigma }}}_{P}^{{\bf 2}}\) represents total additive genetic variance as a proportion of the phenotypic variance
  4. \(\hat{\varvec{\sigma }}_{P}^{{\bf 2}} = 4{{\hat{\varvec{\upsigma}}}}_{{\mathbf{u}}}^{{\bf 2}} + \hat{\varvec{\sigma }}_{c}^{{\bf 2}} + {{\hat{\varvec{\upsigma}}}}_{{\mathbf{e}}}^{{\bf 2}}\) where \(\hat{\varvec{\sigma }}_{c}^{{\bf 2}}\) is the cage variance and \({{\hat{\varvec{\upsigma}}}}_{{\mathbf{e}}}^{{\bf 2}}\) is the residual variance