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Table 6 Statisticsa of marginal posterior distributions for heritability estimates at − 0.75, − 0.5, + 0.5 and + 0.75 sd of the explanatory covariates, and of differences in estimates of heritabilities (\(\varvec{h}^{2}\)) and of genetic (\(\varvec{\sigma}_{\varvec{a}}^{2}\)) and phenotypic (\(\varvec{\sigma}_{\varvec{P}}^{2}\)) variances at − 0.75 and + 0.75 sd of the explanatory covariatesb

From: Genetic parameters and expected responses to selection for components of feed efficiency in a Duroc pig line

 

\(h_{@ - 0.75}^{2}\)

\(h_{@ - 0.5}^{2}\)

\(h_{@ + 0.55}^{2}\)

\(h_{@ + 0.75}^{2}\)

Estimated differences between parameters at − 0.75 and + 0.75 sd units

\(h^{2}\)

\(\sigma_{a}^{2}\)

\(\sigma_{P}^{2}\)

\({\text{MW}}\)

       

Mean

0.20

0.17

0.10

0.10

0.10

9001

− 2383

sd

0.04

0.04

0.05

0.05

0.06

6077

4278

HPD

0.12; 0.27

0.10; 0.24

0.01; 0.19

0.01; 0.19

− 0.02;0.20

− 3243;19,668

− 10,965;5913

Pr| \(\hat{p}\) |>0c

1.00

1.00

1.00

1.00

0.94

0.92

0.29

\({\text{WG}}\)

       

Mean

0.08

0.09

0.17

0.19

− 0.11

− 9600

4076

Sd

0.04

0.04

0.04

0.04

0.04

3492

2960

HPD

0.01;0.15

0.01;0.16

0.09;0.24

0.11;0.27

− 0.18;− 0.04

− 16,662;− 3027

− 1620;9978

Pr| \(\hat{p}\) |>0c

1.00

1.00

1.00

1.00

0.01

0.02

0.92

\({\text{FG}}\)

       

Mean

0.10

0.11

0.16

0.18

− 0.08

− 6690

2375

Sd

0.05

0.05

0.04

0.04

0.04

3832

2606

HPD

0.01;0.18

0.02;0.18

0.08;0.23

0.10;0.25

− 0.15;0.00

− 13,959;581

− 2763;7462

Pr| \(\hat{p}\) |>0c

1.00

1.00

1.00

1.00

0.02

0.04

0.82

  1. \({\text{MW}}\) = mean metabolic weight; \({\text{WG}}\) = weight gain; \({\text{FG}}\) = back fat thickness gain
  2. aMean, standard deviation, highest posterior density (HPD) intervals, probability of the parameter to be higher than zero (Pr| \(\hat{p}\) | > 0)
  3. bFor each covariate assessed along its range, the other ones were kept at their average, i.e. at zero
  4. c Pr| \(\hat{p}\) | > 0 is only relevant for the differences between parameters, prior assumptions of the heritabilities force this quantity to be equal to 1