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Table 2 Estimates of variance components for the intercept and slope for all the models with homogenous (RNM1) and heterogeneous (RNM2) residual variances

From: Genotype-by-environment interactions for reproduction, body composition, and growth traits in maternal-line pigs based on single-step genomic reaction norms

Traits

RNM1

RNM2

AICa

a

pe

ce

a

pe

ce

TNBb

1.0325

0.3011

0.9173

0.3490

0.1146

0.0327

1.0024

0.2533

0.7903

0.1294

0.1132

0.0199

950,276.38

0.7150

0.1718

0.9999

0.1328

0.9999

0.0932

0.6020

0.1766

0.9989

0.0212

0.9976

0.0035

948,339.79

NBA

0.8056

0.1612

0.7395

0.2975

0.0913

0.0203

0.8014

0.1620

0.6462

0.1199

0.0882

0.0185

936,031.17

0.4290

0.1754

0.7592

0.2076

0.3627

0.0344

0.4247

0.1816

0.3273

0.2078

0.3178

0.0382

935,390.49

NW

0.2806

− 0.0360

0.1117

− 0.0289

0.1428

− 0.0902

0.2804

− 0.0353

0.1005

0.0164

0.1447

− 0.0892

38,228.143

− 0.9935

0.0047

− 0.3316

0.0679

− 0.9999

0.0570

− 0.9866

0.0046

0.1839

0.0788

− 0.9999

0.0550

8228.26

WW

0.1988

0.0415

−

−

0.9854

− 0.0040

0.1348

− 0.0184

−

−

0.9831

− 0.0014

100,784.49

0.5099

0.0334

−

−

− 0.5599

0.0001

− 0.3686

0.0185

−

−

− 0.2317

0.0000

100,780.17

OW

102.570

31.4820

−

 

32.7150

0.7261

56.9330

8.9481

− 

− 

33.0810

0.3088

790,691.03

0.9776

10.110

−

−

0.9915

0.0164

0.9423

1.5838

−

−

0.9985

0.0029

790,366.96

ND

10.5220

0.4543

−

−

3.4842

1.0041

10.3670

0.8726

−

−

3.4046

1.0458

127,475.18

0.9409

0.0222

−

−

9989

0.2900

0.9855

0.0756

−

−

0.9977

0.3227

127,497.83

BF

7.3740

0.5134

−

−

1.2345

− 0.2079

7.3650

0.5051

−

−

1.2332

− 0.2083

109,070.95

0.5726

0.1090

−

−

− 0.9994

0.0351

0.5668

0.1078

−

−

− 0.9937

0.0356

109,072.95

  1. TNB, total number of piglets born; NBA, number of piglets born alive; NW, number of piglets weaned; WW, weaning weight (kg); OW, off-test weight (kg); MD, ultrasound muscle depth (mm); BF, ultrasound backfat thickness (mm)
  2. a, animal (additive genetic) effect; pe, animal permanent environmental effect across parities; ce, litter effect
  3. aThe two Akaike Information Criterion (AIC) values are referred to RNM1 and RNM2, respectively
  4. bIn the 2 × 2 block between every trait and random effect, the diagonals, upper triangular and lower triangular represent additive genetic variance, covariance and genetic correlation for the intercept and slope coefficients, respectively. The residual variances for both models (RNM1 and RNM2) are in Additional file 1: Table S3