Table 3 Phenotypic (r p ) and environmental (r e ) correlations between body weight (BW), ultrasound area of breast meat (BM) and hen-house egg production (HHP) from a tri-variate analysis with varying weights (λ) on the pedigree-based relationship matrix (A) and on Forni’s (G F ) or VanRaden’s (G V ) relationship matrix
From: A predictive assessment of genetic correlations between traits in chickens using markers
Regularization parameter (λ) | \(r_{{e \left( {BW,BM} \right)}}\) | \(r_{{e \left( {BW,HHP} \right)}}\) | \(r_{{e \left( {BM,HHP} \right)}}\) | \(r_{{P \left( {BW,BM} \right)}}\) | \(r_{{P \left( {BW,HHP} \right)}}\) | \(r_{{P \left( {BM,HHP} \right)}}\) |
|---|---|---|---|---|---|---|
G F | ||||||
Unscaled | ||||||
A (λ = 0) | 0.480 (0.034) | −0.026 (0.058) | −0.010 (0.063) | 0.480 (0.023) | −0.066 (0.036) | −0.065 (0.039) |
λ = 0.20 | 0.481 (0.036) | −0.023 (0.059) | −0.003 (0.064) | 0.479 (0.023) | −0.067 (0.037) | −0.065 (0.039) |
λ = 0.40 | 0.482 (0.035) | −0.034 (0.057) | −0.011 (0.061) | 0.479 (0.023) | −0.065 (0.037) | −0.063 (0.039) |
λ = 0.60 | 0.482 (0.033) | −0.047 (0.053) | −0.020 (0.057) | 0.479 (0.023) | −0.062 (0.036) | −0.061 (0.039) |
λ = 0.80 | 0.481 (0.031) | −0.058 (0.049) | −0.028 (0.053) | 0.479 (0.023) | −0.059 (0.036) | −0.059 (0.038) |
G (λ = 1) | 0.479 (0.029) | −0.068 (0.045) | −0.035 (0.049) | 0.479 (0.023) | −0.059 (0.036) | −0.062 (0.038) |
Scaled | ||||||
λ = 0.20 | 0.484 (0.035) | −0.022 (0.059) | −0.006 (0.064) | 0.479 (0.024) | −0.074 (0.039) | −0.073 (0.041) |
λ = 0.40 | 0.484 (0.036) | −0.024 (0.059) | −0.006 (0.063) | 0.478 (0.027) | −0.079 (0.042) | −0.080 (0.045) |
λ = 0.60 | 0.485 (0.035) | −0.034 (0.057) | −0.012 (0.061) | 0.477 (0.031) | −0.080 (0.047) | −0.084 (0.049) |
λ = 0.80 | 0.484 (0.033) | −0.050 (0.052) | −0.062 (0.078) | 0.477 (0.035) | −0.072 (0.052) | −0.084 (0.055) |
G (λ = 1) | 0.479 (0.029) | −0.068 (0.045) | −0.035 (0.049) | 0.481 (0.038) | −0.052 (0.056) | −0.082 (0.059) |
G V | ||||||
Unscaled | ||||||
λ = 0.20 | 0.480 (0.036) | −0.033 (0.058) | −0.004 (0.063) | 0.480 (0.023) | −0.066 (0.037) | −0.066 (0.039) |
λ = 0.40 | 0.480 (0.035) | −0.046 (0.055) | −0.011 (0.059) | 0.480 (0.023) | −0.064 (0.036) | −0.064 (0.039) |
λ = 0.60 | 0.479 (0.033) | −0.060 (0.051) | −0.018 (0.055) | 0.480 (0.023) | −0.061 (0.036) | −0.063 (0.039) |
λ = 0.80 | 0.476 (0.030) | −0.070 (0.047) | −0.024 (0.051) | 0.481 (0.023) | −0.059 (0.036) | −0.062 (0.038) |
G (λ = 1) | 0.474 (0.028) | −0.079 (0.044) | −0.030 (0.047) | 0.481 (0.023) | −0.060 (0.036) | −0.065 (0.038) |
Scaled | ||||||
λ = 0.20 | 0.484 (0.036) | −0.030 (0.059) | −0.006 (0.063) | 0.479 (0.024) | −0.070 (0.037) | −0.071 (0.040) |
λ = 0.40 | 0.483 (0.035) | −0.043 (0.056) | −0.010 (0.060) | 0.479 (0.024) | −0.069 (0.038) | −0.072 (0.041) |
λ = 0.60 | 0.482 (0.033) | −0.057 (0.053) | −0.018 (0.056) | 0.479 (0.025) | −0.066 (0.039) | −0.072 (0.041) |
λ = 0.80 | 0.478 (0.031) | −0.070 (0.048) | −0.025 (0.051) | 0.481 (0.025) | −0.061 (0.039) | −0.072 (0.042) |
G (λ = 1) | 0.474 (0.028) | −0.078 (0.044) | −0.030 (0.047) | 0.483 (0.025) | −0.056 (0.039) | −0.073 (0.042) |