Table 6 Estimates of variance components and genetic parameters for weaning weight (the best model is shown in bold).

From: Improvement in genetic evaluation of quantitative traits in sheep by enriching genetic model with dominance effects

Model

\(\:{\sigma\:}_{a}^{2}\)

\(\:{\sigma\:}_{d}^{2}\)

\(\:{\sigma\:}_{c}^{2}\)

\(\:{\sigma\:}_{m}^{2}\)

\(\:{\sigma\:}_{a.m}\)

\(\:{\sigma\:}_{e}^{2}\)

\(\:{\sigma\:}_{p}^{2}\)

\(\:{h}_{a}^{2}\)

\(\:{h}_{d}^{2}\)

\(\:{h}_{c}^{2}\)

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

e2

ra, m

AIC

1

4.551

    

16.750

21.302

0.21 ± 0.03

   

0.78 ± 0.02

 

14637.48

2

4.550

2.697

   

14.115

21.346

0.21 ± 0.02

0.13 ± 0.07

  

0.66 ± 0.07

 

14636.69

3

1.632

 

3.032

  

16.048

20.713

0.08 ± 0.03

 

0.15 ± 0.01

 

0.78 ± 0.02

 

14559.81

4

1.629

3.114

3.045

  

13.005

20.794

0.08 ± 0.02

0.15 ± 0.07

0.15 ± 0.01

 

0.62 ± 0.07

 

14558.33

5

1.252

  

3.277

 

16.847

21.377

0.06 ± 0.02

  

0.15 ± 0.02

0.79 ± 0.02

 

14585.06

6

1.249

3.054

 

3.296

 

13.860

21.640

0.06 ± 0.02

0.14 ± 0.06

 

0.15 ± 0.02

0.65 ± 0.07

 

14583.73

7

1.240

  

3.244

0.036

16.855

21.378

0.06 ± 0.02

  

0.15 ± 0.02

0.79 ± 0.02

0.02 ± 0.17

14586.06

8

1.235

3.055

 

3.253

0.047

13.870

21.641

0.06 ± 0.02

0.14 ± 0.06

 

0.15 ± 0.02

0.65 ± 0.07

0.02 ± 0.19

14584.73

9

1.431

 

2.666

0.478

 

16.153

20.729

0.07 ± 0.02

 

0.13 ± 0.01

0.02 ± 0.01

0.78 ± 0.02

 

14559.49

10

1.428

3.117

2.678

0.479

 

13.106

20.811

0.07 ± 0.02

0.15 ± 0.06

0.13 ± 0.01

0.02 ± 0.01

0.63 ± 0.07

 

14558.01

11

1.315

 

2.648

0.336

0.208

16.227

20.736

0.06 ± 0.02

 

0.13 ± 0.01

0.02 ± 0.01

0.78 ± 0.02

0.31 ± 0.27

14560.29

12

1.355

3.134

2.660

0.327

0.221

13.168

20.818

0.06 ± 0.02

0.15 ± 0.06

0.13 ± 0.01

0.02 ± 0.01

0.64 ± 0.07

0.34 ± 0.40

14558.79

  1. \(\:{\sigma\:}_{a}^{2}\)= additive genetic variance;\(\:\:{\sigma\:}_{d}^{2}\)= dominance genetic variance;\(\:\:{\sigma\:}_{c}^{2}\)= maternal permanent environmental variance;\(\:\:{\sigma\:}_{m}^{2}\)= maternal genetic variance; \(\:{\sigma\:}_{a.m}\)= direct-maternal additive genetic covariance; \(\:{\sigma\:}_{e}^{2}\)= residual variance; \(\:{\sigma\:}_{p}^{2}\)= phenotypic variance;\(\:\:{h}_{a}^{2}\)= additive heritability; \(\:{h}_{d}^{2}\)= dominance heritability; \(\:\:{h}_{c}^{2}\)= maternal permanent environmental effect, \(\:{h}_{m}^{2}\)= maternal heritability; e2: ratio of residual variance to phenotypic variance; ra, m= direct-maternal additive genetic correlation; AIC= Akaike’s information criterion.