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Table 3 Parameter estimates (standard errors in brackets) from bivariate classical and a social genetic effects models for average daily gain (g/day) in gilts and boars as separate traits

From: Social genetic effects for growth in pigs differ between boars and gilts

Component

Model

Classical

Social

Boars

Gilts

Boars

Gilts

\({\upsigma}_{{{\mathbf{A}}_{\text{D}} }}^{2}\)

2883.4 (232.7)

2389.2 (163.9)

2868.9 (233.3)

2508.7 (164.5)

\({\upsigma}_{{{\mathbf{A}}_{\text{S}} }}^{2}\)

  

13.8 (5.8)

9.3 (3.9)

\({\upsigma}_{{{\mathbf{A}}_{\text{DS}} }}\)

  

− 7.58 (31.1)

− 34.0 (20.8)

\({\upsigma}_{g}^{2}\)

1111.0 (64.2)

1038.0 (42.1)

979.0 (87.6)

989.3 (57.4)

\({\upsigma}_{l}^{2}\)

930.9 (75.7)

724.1 (44.8)

927.3 (75.6)

722.5 (44.8)

\({\upsigma}_{{{\mathbf{A}}_{\text{Db}} {\mathbf{A}}_{\text{Dg}} }}\)

  

2368.6 (163.4)

 

\({\upsigma}_{{{\mathbf{A}}_{\text{Db}} {\mathbf{A}}_{\text{Sg}} }}\)

  

− 35.65 (23.42)

 

\({\upsigma}_{{{\mathbf{A}}_{\text{Dg}} {\mathbf{A}}_{\text{Sb}} }}\)

  

− 11.9 (28.2)

 

\({\upsigma}_{{{\mathbf{A}}_{\text{Sb}} {\mathbf{A}}_{\text{Sg}} }}\)

  

3.45 (3.5)

 

\({\upsigma}_{{l_{{{\text{b}},{\text{g}}}} }}\)

657.0 (44.5)

 

654.5 (44.5)

 

\({\upsigma}_{e}^{2}\)

8270.0 (141.6)

5903.4 (92.6)

8263.8 (142.8)

5877.6 (94.1)

\(h^{2} /{\text{T}}^{2}\)

0.219 (0.012)

0.238 (0.016)

0.320 (0.020)

0.273 (0.014)

\({\upsigma}_{TBV}^{2}\)

  

4286.2 (263.76)

2795.2 (140.2)

\(r_{{{\mathbf{A}}_{\text{Db}} ,{\mathbf{A}}_{\text{Dg}} }}\)

0.883 (0.02)

 

0.882 (0.02)

 

\(r_{{{\mathbf{A}}_{\text{D}} ,{\mathbf{A}}_{\text{S}} }}\)

  

− 0.038 (0.157)

− 0.222 (0.140)

\(r_{{{\mathbf{A}}_{\text{Sb}} ,{\mathbf{A}}_{\text{Sg}} }}\)

  

0.304 (0.304)

 

\(r_{{{\mathbf{A}}_{\text{Db}} ,{\mathbf{A}}_{\text{Sg}} }}\)

  

− 0.218 (0.144)

 

\(r_{{{\mathbf{A}}_{\text{Dg}} ,{\mathbf{A}}_{\text{Sb}} }}\)

  

− 0.064 (0.152)

 

\(\Delta {\text{LogL}}\)

  

10.3 (P = 0.17)

 
  1. \({\upsigma}_{{{\mathbf{A}}_{\text{D}} }}^{2}\) = direct genetic variance
  2. \({\upsigma}_{{{\mathbf{A}}_{\text{S}} }}^{2}\) = social genetic variance
  3. \({\upsigma}_{{{\mathbf{A}}_{\text{DS}} }}\) = direct-social covariance
  4. \({\upsigma}_{g}^{2}\) = variance of group
  5. \({\upsigma}_{l}^{2}\) = variance of litter
  6. \({\upsigma}_{e}^{2}\) = residual variance
  7. \({\upsigma}_{{{\mathbf{A}}_{\text{Db}} {\mathbf{A}}_{\text{Dg}} }}\) = covariance between direct effects in boars and gilts
  8. \({\upsigma}_{{{\mathbf{A}}_{\text{Db}} {\mathbf{A}}_{\text{Sg}} }}\) = covariance between direct effects in boars and social effects in gilts
  9. \({\upsigma}_{{{\mathbf{A}}_{\text{Dg}} {\mathbf{A}}_{\text{Sb}} }}\) = covariance between direct effects in gilts and social effects in boars
  10. \({\upsigma}_{{{\mathbf{A}}_{\text{Sb}} {\mathbf{A}}_{\text{Sg}} }}\) = covariance between social effects in boars and gilts
  11. h2 = heritability
  12. T2 = total heritable variation
  13. \({\upsigma}_{TBV}^{2}\) = variance of the total breeding value
  14. \(r_{{{\mathbf{A}}_{\text{Db}} ,{\mathbf{A}}_{\text{Dg}} }}\) = genetic correlation between direct effects in boars and gilts
  15. \(r_{{{\mathbf{A}}_{\text{D}} ,{\mathbf{A}}_{\text{S}} }}\) = genetic correlation between direct and social genetic effects
  16. \(r_{{{\mathbf{A}}_{\text{Sb}} ,{\mathbf{A}}_{\text{Sg}} }}\) = genetic correlation between social effects in boars and gilts
  17. \(r_{{{\mathbf{A}}_{\text{Db}} ,{\mathbf{A}}_{\text{Sg}} }}\) = genetic correlation between direct effects for boars and social for gilts
  18. \(r_{{{\mathbf{A}}_{\text{Dg}} ,{\mathbf{A}}_{\text{Sb}} }}\) = genetic correlation between direct effects for gilts and social for boars
  19. \(\Delta {\text{LogL}}\) = reduction in − 2Log Likelihood compared to the classical model
  20. P values from a likelihood ratio test with 7 degrees of freedom in parentheses