A Mathematical Model for Variable Chlorine Decay Rates in Water Distribution Systems

Table 1

Results of Monte Carlo simulation: error of estimation E for different ranges of molar concentration of reactants and reaction rates.

	K10, X10	K20, X20	K50, X50	K100, X100	K200, X200	K500, X500	K1000, X1000
Average error, E	12.68	12.28	12.53	12.53	12.63	12.44	12.61
Standard deviation	8.68	8.67	8.68	8.76	8.79	8.73	8.84
Geometric mean of errors, E	8.98	NA	NA	NA	8.85	8.79	NA
Harmonic mean of errors, E	3.25	1.54	3.12	0.65	0.03	2.83	2.64
Maximum error, E	54.99	54.73	56.69	56.73	59.75	50.56	59.70
Minimum error, E	0.02	0.00	0.02	0.00	0.00	0.01	0.01

Geometric mean calculation invalidated by presence of zero in the data as is noticed in the last row of this table.