Modeling Nile Tilapia Heterogeneous Growth under Different Stocking Densities during Pre-Grow-Out Stage

Table 4

Quantiles, parameters, estimate, standard error, and t statistic of modified models in heterogeneous scenario for tilapia Oreochromis niloticus growth.

Models	Quantiles	Parameters	Estimate	Standard error	t Statistic
von Bertalanffy	0.05	α0; α1; α2	0.1749; 0.0254; 0.0123	6897.75; 0.01; 0.01	0.42; 5.39; 0.84
	0.15	α0; α1; α2	0.1806; 0.0247; 0.0091	11922.30; 0.00; 0.00	0.65; 11.46; 1.46
	0.25	α0; α1; α2	0.2000; 0.0269; 0.0106	7745.88; 0.00; 0.00	0.86; 16.01; 1.89
	0.50	α0; α1; α2	0.3270; 0.0326; 0.0316	315.83; 0.00; 0.00	3.49; 17.98; 5.05
	0.75	α0; α1; α2	0.2971; 0.0328; 0.0232	1160.61; 0.00; 0.00	1.81; 14.47; 3.06
	0.85	α0; α1; α2	0.3716; 0.0367; 0.0353	315.34; 0.00; 0.00	3.70; 18.40; 5.14
	0.95	α0; α1; α2	0.5021; 0.0430; 0.0545	280.58; 0.01; 0.01	2.79; 8.50; 2.95
Logistic 1	0.05	α0; α1; α2	1.0510; 0.1404; 0.0100	3.63; 0.02; 0.52	28.85; 6.52; 2.04
	0.15	α0; α1; α2	0.6866; 0.1204; 0.0058	2.83; 0.02; 0.25	41.84; 7.29; 2.70
	0.25	α0; α1; α2	0.6600; 0.1192; 0.0052	2.50; 0.02; 0.22	50.38; 7.82; 2.99
	0.50	α0; α1; α2	0.7363; 0.1303; 0.0049	3.35; 0.02; 0.24	44.02; 7.85; 3.01
	0.75	α0; α1; α2	0.9016; 0.1521; 0.0050	5.14; 0.01; 0.23	34.90; 10.82; 3.85
	0.85	α0; α1; α2	1.6741; 0.1909; 0.0085	4.56; 0.01; 0.33	43.05; 16.55; 5.02
	0.95	α0; α1; α2	4.2535; 0.2449; 0.0188	6.21; 0.02; 1.86	36.38; 10.31; 2.29
Gompertz	0.05	α0; α1; α2	5.2550; 0.1725; 1.0877	4.07; 0.02; 0.37	30.76; 10.47; 2.94
	0.15	α0; α1; α2	6.3795; 0.1782; 1.2999	2.47; 0.01; 0.28	54.90; 17.40; 4.69
	0.25	α0; α1; α2	5.3211; 0.1699; 1.0682	2.86; 0.01; 0.21	50.86; 18.68; 5.19
	0.50	α0; α1; α2	6.8542; 0.1871; 1.3369	3.29; 0.01; 0.29	51.25; 17.78; 4.66
	0.75	α0; α1; α2	5.3795; 0.1833; 1.0143	5.22; 0.01; 0.22	38.52; 18.16; 4.61
	0.85	α0; α1; α2	5.3080; 0.1868; 0.9851	8.07; 0.01; 0.22	27.11; 15.19; 4.40
	0.95	α0; α1; α2	8.6631; 0.2134; 1.5713	8.75; 0.01; 0.38	28.33; 15.86; 4.17

Note: α₀, α₁, α₂, and β₁ are parameters within each growth function.