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Table 3 shows a summary of the equations of some of the models used. The best fits were attained using exponential family curves.

Table 3

Models satisfactorily run using NLME modelling

ModelEquationPseudo-R2AIC
Samples
Undiluted riverSewage 1:10,000All samples
Logistic-exponential  0.979, 2,028.175 0.884, 423.043 0.992, 10,408.31 
Antoine expanded  0.978, 2,038.338 0.882, 420.887 0.995, 9,712.877 
Gompertz  0.975, 2,065.705 0.882, 425.045 0.994, 10,065.73 
Monomolecular  0.970, 2,105.637 0.882, 422.698 0.994, 10,044.56 
Modified Hoerl  0.970, 2,106.003 0.872, 433.002 0.993, 10,177.52 
Heat capacity  0.968, 2,117.821 0.866, 437.514 0.972, 11,622.05 
Root  0.967, 2,126.023 0.883, 422.362 0.993, 10,289.25 
Saturation growth  0.949, 2,221.43 0.877, 427.617 0.990, 10,535.48 
Asymptotic regression  0.828, 2,494.799 0.828, 463.960 0.970, 11,702.63 
3rd Polynomic  0.752, 2,558.244 0.666, 527.072 0.673, 14,024.45 
ModelEquationPseudo-R2AIC
Samples
Undiluted riverSewage 1:10,000All samples
Logistic-exponential  0.979, 2,028.175 0.884, 423.043 0.992, 10,408.31 
Antoine expanded  0.978, 2,038.338 0.882, 420.887 0.995, 9,712.877 
Gompertz  0.975, 2,065.705 0.882, 425.045 0.994, 10,065.73 
Monomolecular  0.970, 2,105.637 0.882, 422.698 0.994, 10,044.56 
Modified Hoerl  0.970, 2,106.003 0.872, 433.002 0.993, 10,177.52 
Heat capacity  0.968, 2,117.821 0.866, 437.514 0.972, 11,622.05 
Root  0.967, 2,126.023 0.883, 422.362 0.993, 10,289.25 
Saturation growth  0.949, 2,221.43 0.877, 427.617 0.990, 10,535.48 
Asymptotic regression  0.828, 2,494.799 0.828, 463.960 0.970, 11,702.63 
3rd Polynomic  0.752, 2,558.244 0.666, 527.072 0.673, 14,024.45 

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