Table 2. Parameters estimates for the nine growth models (standard errors in parentheses).
Models | |||||||||
---|---|---|---|---|---|---|---|---|---|
Parameters Estimates | H1 | Cubic | H2 | Log-logistic | Weibull | H3 | Gompertz | Logistic | Exponential |
M | 5.67 × 106** (0.63 × 106) | n/a | 7.08 × 106** (1.50 × 106) | 4.49 × 108 (5.49 × 109) | −7.54 × 106 (5.43 × 106) | 0.02 × 106 (0.1 × 106) | 5.86 × 107 (2.51 × 107) | 3.50 × 106** (0.22 × 106) | 0.06 × 106** (0.01 × 106) |
α | 404.25 (325.29) | 16.91** (1.85) | 448.57 (316.57) | 4.47 × 106 (5.32 × 107) | −7.57 × 106 (5.54 × 106) | −6.02 (0.13 × 106) | 7.78** (0.25) | 121.23** (13.58) | −0.07** (0.38 × 102) |
β | 8.58 × 10−2** (0.98 × 10−2) | 131.49 (149.15) | 29.10 × 10−2 (15.58 × 10−2) | 2.58** (0.10) | −1.18 × 10−5 (1.50 × 10−5) | −1.9 (2.5) | 1.87 × 10−2** (0.21 × 10−2) | 0.10**(0.51 × 10−2) | −5.31 × 10−4 (4.42 × 10−4) |
γ | 1404.25 (8.58 × 10−2) | 1198.24 (3419.6) | 10.75 ** (0.11) | n/a | 2.58** 0.16 | 0.30 (0.18) | n/a | n/a | n/a |
Θ | n/a | 26436.9 (21128.2) | n/a | n/a | n/a | -6.76 (0.14 × 106) | n/a | n/a | n/a |
AICC | 1092.90 | 1093.96 | 1094.29 | 1161.53 | 1109.76 | 1113.85 | 1116.63 | 1161.53 | 1222.51 |
MSE | 1.22 × 109 | 1.25 × 109 | 1.25 × 109 | 4.70 × 109 | 1.69 × 109 | 1.78 × 109 | 1.98 × 109 | 4.70 × 109 | 1.51 × 1010 |
R2 | 0.9982 | 0.9982 | 0.9982 | 0.9932 | 0.9976 | 0.9975 | 0.9971 | 0.9932 | 0.9781 |
Note:
p<0.05,
p<0.001