Skip to main content

Table 7 Additive genetic variance (\(\varvec{\sigma}_{\varvec{a}}^{2}\)), litter variance (\(\varvec{\sigma}_{\varvec{u}}^{2}\)), residual variance (\(\varvec{\sigma}_{\varvec{e}}^{2}\)), and heritabilities for each breed for PB and CB performance, and genetic correlation between purebred and CB pigs (\(\varvec{r}_{{\varvec{PC}}}\)), estimated for each trait using the BOAa, G bA , and G cB models

From: Genomic evaluation for a three-way crossbreeding system considering breed-of-origin of alleles

Model

Breed

\({\varvec{\upsigma}}_{{{{\bf a}}_{{{{\bf PB}}}} }}^{2}\)

\({\varvec{\upsigma}}_{{{{\bf u}}_{{{{\bf PB}}}} }}^{2}\)

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

\(\varvec{h}_{{{{\bf PB}}}}^{2}\)

\({\varvec{\upsigma}}_{{{{\bf a}}_{{{{\bf CB}}}} }}^{2}\)

\({\varvec{\upsigma}}_{{{{\bf u}}_{{{{\bf CB}}}} }}^{2}\) *

\({\varvec{\upsigma}}_{{{{\bf e}}_{{{{\bf CB}}}} }}^{2}\) *

\(\varvec{h}_{{{{\bf CB}}}}^{2}\)

\({{\bf r}}_{{{{\bf pc}}}}\)

ADG

BOA

S

2699

2925

6124

0.23

2316

853

4192

0.34**

0.50

 

LR

2165

2291

3778

0.26

3566

   

0.62

 

LW

2123

1595

4602

0.26

2258

   

0.57

GA

S

3386

2850

6068

0.28

2053*

258

3576

0.35

0.52

 

LR

2461

2282

3718

0.29

    

0.31

 

LW

2336

1563

4595

0.28

    

0.61

GB

S

2775

2846

6082

0.24

2261*

262

3592

0.37

0.52

 

LR

2248

2287

3703

0.27

    

0.30

 

LW

2154

1640

4568

0.26

    

0.59

BF

BOA

S

0.82

0.55

1.27

0.31

1.90

0.88

3.96

0.38**

0.74

 

LR

1.09

0.60

1.73

0.32

3.74

   

0.67

 

LW

1.33

0.86

1.67

0.34

4.16

   

0.58

GA

S

1.18

0.55

1.26

0.40

2.18*

0.33

3.32

0.37

0.73

 

LR

1.38

0.59

1.71

0.38

    

0.72

 

LW

1.57

0.85

1.64

0.39

    

0.65

GB

S

0.98

0.54

1.26

0.35

2.40*

0.34

3.34

0.39

0.69

 

LR

1.26

0.59

1.70

0.35

    

0.70

 

LW

1.44

0.85

1.64

0.37

    

0.62

LD

BOA

S

10.59

6.00

8.43

0.42

11.59

3.20

31.45

0.24**

0.53

 

LR

5.72

3.00

6.65

0.37

7.23

   

0.58

 

LW

6.04

3.55

6.93

0.37

12.86

   

0.53

GA

S

12.78

5.93

8.41

0.47

9.05*

0.11

28.89

0.24

0.57

 

LR

6.58

2.98

6.60

0.41

    

0.57

 

LW

6.82

3.56

6.89

0.40

    

0.68

GB

S

10.58

5.87

8.33

0.43

10.00*

0.05

28.89

0.26

0.55

 

LR

5.82

2.97

6.57

0.38

    

0.56

 

LW

6.09

3.55

6.86

0.37

    

0.62

  1. S Synthetic boar, LR Landrace, LW Large White, CB three-way crossbred pigs
  2. ADG average daily gain, BF back fat thickness, LD loin depth
  3. aBOA model, model with breed-specific relationship matrices
  4. b \({\text{G}}_{\text{A}}\) model, model with genomic relationship matrix by allele frequencies obtained across the genotyped population
  5. c \({\text{G}}_{\text{B}}\) model, model with genomic relationship matrix by breed-specific allele frequencies
  6. * Average from the three bivariate models
  7. ** (0.5\(\upsigma_{{{\text{a}}_{\text{S}} }}^{2}\) + 0.25\(\upsigma_{{{\text{a}}_{\text{LR}} }}^{2}\) + 0.25\(\upsigma_{{{\text{a}}_{\text{LW}} }}^{2}\))/(0.5\(\upsigma_{{{\text{a}}_{\text{S}} }}^{2}\) + 0.25\(\upsigma_{{{\text{a}}_{\text{LR}} }}^{2}\) + 0.25\(\upsigma_{{{\text{a}}_{\text{LW}} }}^{2}\) + \(\upsigma_{{{\text{u}}_{\text{CB}} }}^{2}\)* + \(\upsigma_{{{\text{e}}_{\text{CB}} }}^{2}\)*)