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

Table 5

Validation of the modified models in heterogeneous scenario for tilapia Oreochromis niloticus growth.

Models

Statistics

Quantiles at treatment 1

Quantiles at treatment 2

Quantiles at treatment 3

0.05

0.15

0.25

0.5

0.75

0.85

0.95

0.05

0.15

0.25

0.5

0.75

0.85

0.95

0.05

0.15

0.25

0.5

0.75

0.85

0.95

von Bertalanffy

R^2; RMSE; U; U^m; U^s; U^c

0.98; 10.55; 0.16; 0.40; 0.54; 0.13

0.98; 9.78; 0.12; 0.41; 0.48; 0.17

0.98; 10.31; 0.11; 0.49; 0.38; 0.17

0.99; 8.48; 0.09; 0.33; 0.44; 0.29

0.98; 15.83; 0.11; 0.63; 0.28; 0.13

0.98; 16.46; 0.11; 0.61; 0.25; 0.17

0.99; 24.37; 0.12; 0.74; 0.22; 0.07

0.99; 6.34; 0.13; 0.29; 0.63; 0.16

0.98; 4.46; 0.08; 0.17; 0.35; 0.52

0.98; 4.48; 0.08; 0.18; 0.31; 0.55

0.98; 4.32; 0.07; 0.01; 0.00; 0.99

0.98; 5.54; 0.07; 0.17; 0.16; 0.69

0.99; 6.14; 0.07; 0.25; 0.27; 0.52

0.96; 10.22; 0.11; 0.19; 0.13; 0.70

0.99; 3.20; 0.06; 0.64; 0.13; 0.25

0.99; 5.08; 0.07; 0.66; 0.25; 0.12

0.99; 4.99; 0.07; 0.64; 0.26; 0.13

0.99; 7.71; 0.10; 0.61; 0.37; 0.07

0.99; 5.98; 0.08; 0.50; 0.47; 0.08

0.99; 6.60; 0.08; 0.55; 0.39; 0.11

0.99; 7.18; 0.10; 0.33; 0.62; 0.13

Logistic 1

R^2; RMSE; U; U^m; U^s; U^c

0.72; 19.88; 0.28; 0.40; 0.03; 0.57

0.78; 18.59; 0.26; 0.25; 0.11; 0.65

0.81; 18.11; 0.24; 0.20; 0.12; 0.69

0.86; 18.18; 0.21; 0.19; 0.15; 0.69

0.95; 11.45; 0.12; 0.11; 0.20; 0.72

0.96; 11.59; 0.11; 0.12; 0.12; 0.78

0.98; 9.50; 0.08; 0.04; 0.09; 0.89

0.94; 9.71; 0.12; 0.65; 0.00; 0.35

0.95; 9.50; 0.11; 0.66; 0.00; 0.34

0.96; 8.94; 0.10; 0.59; 0.01; 0.41

0.98; 5.89; 0.08; 0.39; 0.04; 0.57

0.98; 7.80; 0.10; 0.25; 0.51; 0.31

0.99; 15.61; 0.16; 0.54; 0.47; 0.05

0.96; 26.04; 0.24; 0.60; 0.38; 0.07

0.98; 7.02; 0.10; 0.77; 0.09; 0.15

0.98; 7.72; 0.09; 0.77; 0.09; 0.15

0.98; 7.05; 0.09; 0.73; 0.07; 0.21

0.99; 2.13; 0.04; 0.36; 0.01; 0.64

0.99; 8.90; 0.12; 0.63; 0.40; 0.02

0.99; 17.97; 0.26; 0.63; 0.41; 0.01

0.99; 28.44; 0.39; 0.70; 0.34; 0.00

Gompertz

R^2; RMSE; U; U^m; U^s; U^c

0.80; 23.68; 0.23; 0.66; 0.00; 0.34

0.78; 24.51; 0.24; 0.57; 0.01; 0.43

0.82; 23.62; 0.22; 0.56; 0.00; 0.44

0.85; 24.39; 0.20; 0.55; 0.01; 0.44

0.94; 16.54; 0.12; 0.52; 0.02; 0.47

0.95; 28.18; 0.12; 0.79; 0.04; 0.18

0.97; 11.40; 0.09; 0.28; 0.05; 0.69

0.95; 9.80; 0.11; 0.72; 0.00; 0.28

0.95; 11.01; 0.11; 0.72; 0.00; 0.28

0.96; 10.42; 0.11; 0.68; 0.00; 0.32

0.97; 7.37; 0.09; 0.47; 0.04; 0.50

0.97; 7.35; 0.11; 0.01; 0.49; 0.56

0.98; 10.34; 0.13; 0.25; 0.61; 0.22

0.96; 15.91; 0.16; 0.41; 0.44; 0.21

0.97; 5.06; 0.08; 0.72; 0.01; 0.27

0.97; 5.29; 0.08; 0.67; 0.00; 0.33

0.97; 5.23; 0.08; 0.58; 0.01; 0.42

0.99; 3.74; 0.08; 0.09; 0.66; 0.33

0.99; 7.63; 0.12; 0.50; 0.53; 0.04

0.99; 11.12; 0.17; 0.55; 0.48; 0.03

0.99; 17.10; 0.20; 0.70; 0.33; 0.01

Note: R² = coefficient of determination; RMSE = root-mean-square error; U = Theil’s coefficient of inequality; U^m = proportion of mean; U^s = proportion of variance; U^c = proportion of covariance.