Anim Biosci > Volume 31(1); 2018 > Article |
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Model | Equation |
---|---|
Gompertz | W(t) = αe−βe−γt |
von Bertalanffy | W(t) = α(1 − βe−γt)3 |
Logistic | W(t) = α/(1 + βe−γt) |
Model | Parameter | R2 | Convergence property | Convergence weight | ||
---|---|---|---|---|---|---|
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α±SE (g) | β±SE (wk) | γ±SE (wk) | ||||
Gompertz | 2,798.9±76.2 | 3.562±0.04 | 0.102±0.003 | 99.55 | 2 | 48 |
von Bertalanffy | 3,755.4±168.7 | 0.750±0.00 | 0.061±0.003 | 99.57 | 30 | 138 |
Logistic | 2,076.3±27.5 | 16.09±0.41 | 0.222±0.004 | 99.45 | 1 | 3 |
α, asymptotic live body weight (g); β, the log-function for the proportion of the asymptotic mature weight to be gain after birth (wk); γ, constant scale that is proportional to the overall growth rate (wk); R2 is the coefficient of determination; Convergence properties can be defined as the number of chickens which the model is not converged; Convergence weight can be defined as the number of chickens for which the converged weight at 20 weeks of age is 5 times heavier than actual weight.
Trait | N | Mean | SE | Min. | Max. |
---|---|---|---|---|---|
UT | |||||
α (g) | 557 | 2,180.20 | 22.4 | 1,111.70 | 4,653.10 |
β (wk) | 560 | 19.52 | 0.34 | 8.79 | 53.82 |
γ (wk) | 567 | 0.23 | 0.01 | 0.14 | 0.35 |
NLT | |||||
α (g) | 567 | 7.66 | 0.01 | 7.01 | 8.44 |
β (wk) | 560 | 2.90 | 0.02 | 2.17 | 3.99 |
Trait1) | n | Mean±SD | Va | Ve | h2±SE |
---|---|---|---|---|---|
GR0–2 | 578 | 105.36±23.49 | 102.77 | 121.68 | 0.458±0.117 |
GR2–4 | 584 | 122.88±48.84 | 179.90 | 497.08 | 0.266±0.098 |
GR4–6 | 584 | 161.22±66.29 | 164.87 | 859.48 | 0.161±0.078 |
GR6–8 | 583 | 180.44±71.82 | 406.03 | 1,334.34 | 0.233±0.090 |
GR8–10 | 581 | 160.32±69.04 | 352.10 | 3,667.61 | 0.088±0.058 |
GR10–12 | 582 | 223.75±93.35 | 336.88 | 5,453.45 | 0.058±0.056 |
GR12–14 | 582 | 188.05±90.38 | 246.74 | 5,626.51 | 0.042±0.046 |
GR14–16 | 576 | 209.20±77.20 | 584.16 | 3,964.95 | 0.128±0.067 |
GR16–18 | 582 | 206.44±109.64 | 326.57 | 4,537.18 | 0.067±0.050 |
GR18–20 | 583 | 191.15±72.89 | 258.98 | 4,314.20 | 0.057±0.052 |
α | 575 | 2,178.9±528.1 | 0.005 | 0.019 | 0.211±0.084 |
β | 568 | 19.49±8.09 | 0.010 | 0.029 | 0.249±0.091 |
γ | 565 | 0.230±0.032 | 6.16e-05 | 5.84e-04 | 0.095±0.060 |
n, number of animals analyzed; Mean±SD, mean with standard deviation; Va, additive genetic component; Ve, residual variance component; h2±SE, heritability with standard error.
1) GR0–2, weight gain from hatch to 2 weeks of age; GR2–4, weight gain from 2 to 4 weeks of age; GR4–6, weight gain from 4 to 6 weeks of age; GR6–8, weight gain from 6 to 8 weeks of age; GR8–10, weight gain from 8 to 10 weeks of age; GR10–12, weight gain from 10 to 12 weeks of age; GR12–14, weight gain from 12 to 14 weeks of age; GR14–16, weight gain from 14 to 16 weeks of age; GR16–18, weight gain from 16 to 18 weeks of age; GR18–20, weight gain from 18 to 20 weeks of age; α, asymptotic live body weight (gram); β, inflection point at which 50% of the asymptotic weight is realized (wk), γ, a constant scale that is proportional to the overall growth rate (wk).
Trait2) | GR0–2 | GR2–4 | GR4–6 | GR6–8 | GR8–10 | GR10–12 | GR12–14 | GR14–16 | GR16–18 | GR18–20 | α | β | γ |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
GR0–2 | - | 0.434 | 0.723 | 0.545 | 0.615 | 0.717 | −0.258 | −0.140 | 0.050 | 0.130 | 0.063 | −0.667 | 0.198 |
GR2–4 | 0.808 | - | 0.742 | 0.550 | 0.502 | 0.706 | 0.295 | −0.300 | −0.527 | −0.241 | −0.298 | −0.657 | 0.654 |
GR4–6 | 0.754 | 0.812 | - | 0.920 | 0.652 | 0.939 | 0.993 | 0.270 | 0.611 | −0.517 | 0.177 | −0.393 | 0.540 |
GR6–8 | 0.743 | 0.777 | 0.799 | - | 0.417 | 0.971 | 0.083 | 0.208 | 0.198 | −0.228 | 0.288 | −0.264 | 0.987 |
GR8–10 | 0.213 | 0.224 | 0.216 | 0.208 | - | 0.981 | 0.507 | 0.143 | 0.329 | −0.235 | −0.277 | −0.485 | 0.671 |
GR10–12 | 0.401 | 0.456 | 0.498 | 0.504 | −0.011 | - | 0.730 | 0.605 | 0.416 | −0.385 | 0.687 | 0.214 | 0.542 |
GR12–14 | −0.05 | −0.03 | −0.024 | 0.002 | 0.190 | 0.079 | - | 0.780 | 0.850 | −0.277 | 0.936 | - | 0.183 |
GR14–16 | 0.188 | 0.192 | 0.244 | 0.220 | 0.280 | 0.224 | 0.228 | - | 0.888 | −0.271 | 0.772 | 0.369 | −0.210 |
GR16–18 | −0.298 | −0.314 | −0.365 | −0.371 | 0.223 | −0.060 | 0.367 | 0.194 | - | 0.021 | 0.930 | 0.723 | −0.543 |
GR18–20 | 0.115 | 0.021 | 0.099 | 0.099 | 0.091 | 0.140 | 0.150 | 0.193 | 0.190 | - | 0.584 | 0.311 | −0.968 |
α | 0.399 | 0.463 | 0.576 | 0.581 | 0.251 | 0.483 | 0.031 | 0.014 | 0.550 | −0.335 | - | 0.528 | −0.388 |
β | −0.590 | −0.665 | −0.624 | −0.569 | 0.096 | −0.071 | 0.475 | 0.231 | 0.649 | 0.190 | 0.696 | - | −0.370 |
γ | 0.073 | 0.021 | 0.006 | 0.005 | 0.297 | 0.219 | 0.544 | 0.542 | 0.711 | 0.514 | −0.560 | −0.264 | - |
1) Genetic correlations are above the diagonal and phenotypic correlations are below the diagonal, Traits: weight gain traits and growth curve parameter traits.
2) GR0–2, weight gain from hatch to 2 weeks of age; GR2–4, weight gain from 2 to 4 weeks of age; GR4–6, weight gain from 4 to 6 weeks of age; GR6–8, weight gain from 6 to 8 weeks of age; GR8–10, weight gain from 8 to 10 weeks of age; GR10–12, weight gain from 10 to 12 weeks of age; GR12–14, weight gain from 12 to 14 weeks of age; GR14–16, weight gain from 14 to 16 weeks of age; GR16–18, weight gain from 16 to 18 weeks of age; GR18–20, weight gain from 18 to 20 weeks of age; α, asymptotic live body weight (g); β, inflection point at which 50% of the asymptotic weight is realized (wk); γ, constant scale that is proportional to the overall growth rate (wk).
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