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Table 6 Heritability estimates and variance ratios considering models fitting non-additive genetic effects for heat tolerance indicators

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

Traita

Modelb

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

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

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

\(\widehat{{\sigma }_{d}^{2}}/\widehat{{\sigma }_{g}^{2}}\)

\(\widehat{{\sigma }_{aa}^{2}}/\widehat{{\sigma }_{g}^{2}}\)

TVall

MAIpe

0.1266 ± 0.0203

-

-

-

-

MAIDpe

0.1248 ± 0.0211

0.0102 ± 0.0285

-

0.0753 ± 0.1990

-

MAIDEpe

0.1239 ± 0.0232

0.0096 ± 0.0290

0.0062 ± 0.0670

0.0686 ± 0.2038

0.0442 ± 0.4633

MAIEpe

0.1249 ± 0.0229

-

0.0102 ± 0.0660

-

0.0754 ± 0.4577

TV4days

MAIpe

0.1982 ± 0.0310

-

-

-

-

MAIDpe

0.1944 ± 0.0323

0.0206 ± 0.0441

-

0.0959 ± 0.1898

-

MAIDEpe

0.1944 ± 0.0323

0.0206 ± 0.0441

0.0000 ± 0.0000

0.0959 ± 0.1898

0.0000 ± 0.0000

MAIEpe

0.1982 ± 0.0310

-

0.0000 ± 0.0000

-

0.0000 ± 0.0000

TES

MAIpe

0.039 ± 0.0083

-

-

-

-

MAIDpe

0.039 ± 0.0083

0.0000 ± 0.0000

 

0.0000 ± 0.0000

-

MAIDEpe

0.039 ± 0.0083

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

MAIEpe

0.039 ± 0.0083

-

0.0000 ± 0.0000

-

0.0000 ± 0.0000

TSS

MAIpe

0.0575 ± 0.0126

-

-

-

-

MAIDpe

0.0564 ± 0.0132

0.0058 ± 0.0211

-

0.0925 ± 0.3148

-

MAIDEpe

0.0564 ± 0.0132

0.0058 ± 0.0211

0.0000 ± 0.0000

0.0925 ± 0.3148

0.0000 ± 0.0000

MAIEpe

0.0575 ± 0.0126

-

0.0000 ± 0.0000

-

0.0000 ± 0.0000

TRS

MAIpe

0.0601 ± 0.0134

-

-

-

-

MAIDpe

0.0601 ± 0.0134

0.0000 ± 0.0000

-

0.0000 ± 0.0000

 

MAIDEpe

0.0601 ± 0.0134

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

MAIEpe

0.0601 ± 0.0134

-

0.0000 ± 0.0000

 

0.0000 ± 0.0000

TTS

MAIpe

0.051 ± 0.0119

-

-

-

-

MAIDpe

0.0501 ± 0.0124

0.0038 ± 0.0174

-

0.0708 ± 0.3052

-

MAIDEpe

0.0501 ± 0.0124

0.0038 ± 0.0174

0.0000 ± 0.0000

0.0708 ± 0.3052

0.0000 ± 0.0000

MAIEpe

0.0501 ± 0.0119

-

0.0000 ± 0.0000

-

0.0000 ± 0.0000

RR

MAIpe

0.0634 ± 0.0126

-

-

-

-

MAIDpe

0.0634 ± 0.0126

0.0000 ± 0.0000

-

0.0000 ± 0.0000

-

MAIDEpe

0.0634 ± 0.0126

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

0.0000 ± 0.0000

MAIEpe

0.0634 ± 0.0126

-

0.0000 ± 0.0000

 

0.0000 ± 0.0000

PS

MAIpe

0.0535 ± 0.0176

-

-

 

-

MAIDpe

0.0526 ± 0.0185

0.0042 ± 0.0286

-

0.0744 ± 0.4744

-

MAIDEpe

0.0290 ± 0.0198

0.0000 ± 0.0000

0.1342 ± 0.0689

0.0000 ± 0.0000

0.8222 ± 0.1527

MAIEpe

0.0290 ± 0.0198

-

0.1342 ± 0.0689

-

0.8222 ± 0.1527

HD

MAI

0.2629 ± 0.0535

-

-

-

-

MAID

0.2494 ± 0.0567

0.0662 ± 0.0869

-

0.2097 ± 0.2335

-

MAIDE1

0.1928 ± 0.0641

0.0356 ± 0.0875

0.4232 ± 0.2468

0.0546 ± 0.1338

0.6495 ± 0.2020

MAIE

0.1964 ± 0.0632

-

0.4493 ± 0.2419

-

0.6959 ± 0.1617

  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. \(\widehat{{\sigma }_{d}^{2}}/\widehat{{\sigma }_{g}^{2}}\): ratio of the total genetic variance explained by dominance
  5. \(\widehat{{\sigma }_{aa}^{2}}/\widehat{{\sigma }_{g}^{2}}\): ratio of the total genetic variance explained by additive-by-additive epistasis
  6. aTVall: all measures (every 10 min) of vaginal temperatures during four days (°C); TV4days: four-time measures of vaginal temperatures during four days (°C); TES: ear skin temperature; TSS: shoulder skin temperature; TRS: rump skin temperature; TTS: tail skin temperature; RR: respiration rate; PS: panting score; HD: hair density.
  7. b MAIpe: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zpe}+\varvec{\upepsilon }\); MAIEpe: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zpe}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MAIDpe: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zpe}+\textbf{Zd}+\varvec{\upepsilon }\); MAIDEpe: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\textbf{Zpe}+\varvec{\upepsilon }\); MAI: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\varvec{\upepsilon }\); MAIE: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\); MAID: \(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\varvec{\upepsilon }\); MAIDE1:\(\textbf{y}=\textbf{X}\varvec{\upbeta }+\textbf{fb}+\textbf{Za}+\textbf{Zd}+\textbf{Z}{\varvec{e}}_{\textbf{aa}}+\varvec{\upepsilon }\)