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Table 6 The best model selected in 100 replicates according to Akaike’s information criterion and effect of the number of offspring for different true genetic models

From: Estimation of genetic variance for macro- and micro-environmental sensitivity using double hierarchical generalized linear models

NO True genetic model True parameters Nb of times model selected based on AIC
σ A v 2 σ A sl 2 Macro–micro Macro Micro Simple
100 Macro–micro 0.1 0.05 99 1 0 0
  Macro 0 0.05 5 95 0 0
  Micro 0.1 0 3 1 94 2
  Simple 0 0 1 4 5 90
50 Macro–micro 0.1 0.05 63 27 8 2
  Macro 0 0.05 7 87 1 5
  Micro 0.1 0 4 1 71 24
  Simple 0 0 1 1 3 95
  1. NO = number of offspring per sire, “Macro–micro” = model accounting for both macro- and micro-environmental sensitivities; “Macro” = model with only macro-environmental sensitivity; “Micro” = model with only micro-environmental sensitivity; “Simple” = model without macro- and micro environmental sensitivities and only a genetic effect for the phenotype; σ A int 2 = additive genetic variance of breeding value for intercept (true value = 0.3); σ A sl 2 = additive genetic variance of breeding value for slope (= macro-environmental sensitivity), σ A v 2 = additive genetic variance for environmental variance (= micro-environmental sensitivity), ρ A int , A v = ρ A int , A sl = ρ A sl , A v = 0.