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Table 2 Heritability estimates based on models including or not inbreeding and non-additive genetic effects

From: Investigating the impact of non-additive genetic effects in the estimation of variance components and genomic predictions for heat tolerance and performance traits in crossbred and purebred pig populations

Trait

Modela

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

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

\({h}_{aa}^{2}\)

\({h}_{ad}^{2}\)

\({h}_{dd}^{2}\)

T1

MA

0.0327 ± 0.0146

-

-

-

-

MAI

0.0318 ± 0.0146

-

-

-

-

MAE

0.0130 ± 0.0157

-

0.1277 ± 0.0642

-

-

MAIE

0.0116 ± 0.0157

-

0.1288 ± 0.0642

-

-

MAD

0.0327 ± 0.0147

6.12 × 10−08 ± 0.0232

-

-

-

MAID

0.0318 ± 0.0147

6.12 × 10−08 ± 0.0232

-

-

-

MADE1

0.0130 ± 0.0157

5.77 × 10−08 ± 0.0000

0.1277 ± 0.0642

-

-

MAIDE1

0.0116 ± 0.0157

6.77 × 10−08 ± 0.0241

0.1288 ± 0.0652

-

-

MADE2

0.0130 ± 0.0160

6.23 × 10−08 ± 0.0247

0.1277 ± 0.0743

6.82 × 10−07 ± 0.1535

-

MAIDE2

0.0116 ± 0.0160

6.23 × 10−08 ± 0.0247

0.1288 ± 0.0743

6.82 × 10−07 ± 0.1536

-

MADE3

0.0130 ± 0.0160

5.85 × 10−08 ± 0.0249

0.1277 ± 0.0743

3.20 × 10−07 ± 0.2644

7.96 × 10−07 ± 0.2910

MAIDE3

0.0116 ± 0.0160

5.79 × 10−08 ± 0.0248

0.1288 ± 0.0743

2.97 × 10−07 ± 0.2646

8.35 × 10−07 ± 0.2913

T2

MA

0.2697 ± 0.0263

-

-

-

-

MAI

0.2696 ± 0.0264

-

-

-

-

MAE

0.2095 ± 0.0300

-

0.2433 ± 0.0698

-

-

MAIE

0.2083 ± 0.0301

-

0.2453 ± 0.0700

-

-

MAD

0.2680 ± 0.0265

0.0205 ± 0.0219

-

-

-

MAID

0.2680 ± 0.0265

0.0205 ± 0.0219

-

-

-

MADE1

0.2087 ± 0.0299

0.0185 ± 0.0217

0.2417 ± 0.0700

-

-

MAIDE1

0.2071 ± 0.0301

0.0193 ± 0.0219

0.2441 ± 0.0701

-

-

MADE2

0.2086 ± 0.0301

0.0185 ± 0.0222

0.2417 ± 0.0775

8.50 × 10−07 ± 0.1390

-

MAIDE2

0.2071 ± 0.0302

0.0193 ± 0.0223

0.2441 ± 0.0776

8.47 × 10−07 ± 0.1391

-

MADE3

0.2086 ± 0.0301

0.0185 ± 0.0224

0.2417 ± 0.0775

8.50 × 10−07 ± 0.2355

1.10 × 10−06 ± 0.2698

MAIDE3

0.2071 ± 0.0302

0.0193 ± 0.0225

0.2441 ± 0.0776

8.47 × 10−07 ± 0.2357

1.10 × 10−06 ± 0.2703

T3

MA

0.2083 ± 0.0253

-

-

-

-

MAI

0.2071 ± 0.0253

-

-

-

-

MAE

0.1161 ± 0.0255

-

0.4309 ± 0.0663

-

-

MAIE

0.1144 ± 0.0254

-

0.4319 ± 0.0663

-

-

MAD

0.2058 ± 0.0254

0.0206 ± 0.0230

-

-

-

MAID

0.2045 ± 0.0253

0.0215 ± 0.0231

-

-

-

MADE1

0.1161 ± 0.0255

1.22 × 10−07 ± 0.0210

0.4309 ± 0.0669

-

-

MAIDE1

0.1144 ± 0.0254

1.59 × 10−07 ± 0.0211

0.4319 ± 0.0669

-

-

MADE2

0.1254 ± 0.0258

2.89 × 10−08 ± 0.0222

0.2821 ± 0.0769

0.5037 ± 0.1373

-

MAIDE2

0.1238 ± 0.0257

3.41 × 10−08 ± 0.0222

0.2835 ± 0.0769

0.5022 ± 0.1375

-

MADE3

0.1263 ± 0.0257

2.10 × 10−10 ± 0.0216

0.2946 ± 0.0759

0.0932 ± 0.2235

0.4859 ± 0.2068

MAIDE3b

-

-

-

-

-

T4

MA

0.3338 ± 0.0263

-

-

-

-

MAI

0.3338 ± 0.0263

-

-

-

-

MAE

0.3071 ± 0.0304

-

0.0911 ± 0.0574

-

-

MAIE

0.3069 ± 0.0304

-

0.0922 ± 0.0575

-

-

MAD

0.3333 ± 0.0263

0.0112 ± 0.0164

-

-

-

MAID

0.3333 ± 0.0263

0.0114 ± 0.0164

-

-

-

MADE1

0.3080 ± 0.0304

0.0068 ± 0.0161

0.0867 ± 0.0581

-

-

MAIDE1

0.3079 ± 0.0304

0.0069 ± 0.0162

0.0876 ± 0.0582

-

-

MADE2

0.3080 ± 0.0306

0.0068 ± 0.0165

0.0867 ± 0.0656

6.06 × 10−08 ± 0.1172

-

MAIDE2

0.3079 ± 0.0306

0.0069 ± 0.0165

0.0876 ± 0.0657

6.05 × 10−08 ± 0.1173

-

MADE3

0.3080 ± 0.0306

0.0068 ± 0.0166

0.0867 ± 0.0656

9.57 × 10−07 ± 0.1856

1.24 × 10−06 ± 0.2251

MAIDE3

0.3079 ± 0.0306

0.0069 ± 0.0166

0.0876 ± 0.0657

9.56 × 10−07 ± 0.1860

1.24 × 10−06 ± 0.2256

T5

MA

0.3744 ± 0.0264

-

-

-

-

MAI

0.3752 ± 0.0264

-

-

-

-

MAE

0.3301 ± 0.0309

-

0.1553 ± 0.0584

-

-

MAIE

0.3311 ± 0.0310

-

0.1543 ± 0.0585

-

-

MAD

0.3727 ± 0.0265

0.0491 ± 0.0187

-

-

-

MAID

0.3732 ± 0.0265

0.0453 ± 0.0187

-

-

-

MADE1

0.3362 ± 0.0309

0.0437 ± 0.0186

0.1299 ± 0.0590

-

-

MAIDE1

0.3362 ± 0.0309

0.0397 ± 0.0186

0.1317 ± 0.0591

-

-

MADE2

0.3362 ± 0.0310

0.0437 ± 0.0190

0.1299 ± 0.0666

3.36 × 10−07 ± 0.1166

-

MAIDE2

0.3362 ± 0.0311

0.0397 ± 0.0189

0.1317 ± 0.0667

3.55 × 10−07 ± 0.1166

-

MADE3

0.3362 ± 0.0311

0.0437 ± 0.0190

0.1299 ± 0.0666

3.33 × 10−07 ± 0.1860

1.02 × 10−06 ± 0.2256

MAIDE3

0.3362 ± 0.0311

0.0397 ± 0.0190

0.1317 ± 0.0667

3.58 × 10−07 ± 0.1862

1.02 × 10−06 ± 0.2151

  1. \({h}_{a}^{2}\): additive heritability or narrow-sense heritability
  2. \({h}_{d}^{2}\): dominance variance ratio
  3. \({h}_{aa}^{2}\): epistatic additive-by-additive variance ratio
  4. \({h}_{ad}^{2}\): epistatic additive-by-dominance variance ratio
  5. \({h}_{dd}^{2}\): epistatic dominance-by-dominance variance ratio
  6. aMA: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\varvec{\upepsilon }\); MAI: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\varvec{\upepsilon }\); MAE: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MAIE: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MAD: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\textbf{Zd}+\varvec{\upepsilon }\); MAID: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\varvec{\upepsilon }\); MADE1: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MAIDE1: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MADE2: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\textbf{Z}{\varvec{e}}_{\textbf{ad}}+\varvec{\upepsilon }\); MAIDE2: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\textbf{Z}{\varvec{e}}_{\textbf{ad}}+\varvec{\upepsilon }\); MADE3: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\textbf{Z}{\varvec{e}}_{\textbf{ad}}+\textbf{Z}{\varvec{e}}_{\textbf{dd}}+\varvec{\upepsilon }\); MAIDE3:\(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\textbf{Z}{\varvec{e}}_{\textbf{ad}}+\textbf{Z}{\varvec{e}}_{\textbf{dd}}+\varvec{\upepsilon }\)
  7. bModel MAIDE3 did not converge for T3.
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