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Table 1 Estimates of variance (block-diagonals), covariance (upper triangular blocks; in italic) and correlation (lower triangular blocks; in bold) among coefficients of reaction norm models (RNM) for the additive genetic effect of post-weaning weight gain (kg) in Nellore cattle, along with residual variance estimates and Akaike (AIC) and Bayesian (BIC) information criteria

From: Unraveling genetic sensitivity of beef cattle to environmental variation under tropical conditions

Modela Coefficientb b0 b1 b2 b3 b4 ec npd AICe BIC5
RNM_homo b0 (int) 129.73 48.64     223.18 4 3,560,790 3,560,838
b1 (slp) 0.96 19.79     
RNM_hete b0 (int) 89.80 16.33     5.55 5 3,559,272 (− 1518) 3,559,332 (− 1506)
b1 (slp) 0.86 3.99     0.23  
RNM_quad b0 (int) 95.90 11.53 − 6.75    5.58 9 3,558,581 (− 2209) 3,558,689 (− 2149)
b1 (slp) 0.40 8.72 2.13    0.24  
b2 (qdr) − 0.50 0.52 1.92    − 0.06  
RNM_l-l b0 (int) 102.86 24.97 − 1.00    5.60 9 3,558,765 (− 2025) 3,558,873 (− 1965)
b1 (slp1) 0.89 7.69 0.71    0.32  
b2 (slp2) − 0.02 0.06 16.71    0.16  
RNM_q-q b0 (int) 98.03 24.51 − 3.27 − 1.55 0.82 5.55 20 3,558,372 (− 2418) 3,558,611 (− 2227)
b1 (slp1) 0.31 64.15 25.80 − 33.82 17.93 0.06  
b2 (qdr1) − 0.09 0.91 12.50 − 14.09 7.59 − 0.18  
b3 (slp2) − 0.02 − 0.48 − 0.45 78.93 − 28.23 0.20  
b4 (qdr2) 0.02 0.66 0.63 − 0.93 11.63 − 0.01  
  1. aRNM_homo: linear homoscedastic; RNM_hete: linear heteroscedastic; RNM_quad: quadratic heteroscedastic; RNM_l-l: spline linear–linear heteroscedastic; RNM_q-q: spline quadratic–quadratic heteroscedastic
  2. bb0–b4 coefficients of the RNM for the additive genetic random effect [int: intercept; slp: slope; qdr: quadratic; slp1(2): slope segment 1(2); qdr1(2): quadratic segment 1(2)]
  3. cResidual variance (RNM_homo) or residual coefficients associated with parameters of heteroscedastic RNM that were modeled using a log-residual function [25]
  4. dNumber of estimated parameters
  5. eNumbers in parenthesis refer to difference in comparison with RNM_homo
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