IWA Publishing

The following tables (Tables 4–7) show the comparison between the proposed method, the QMMP + kNN, Holt–Winters, ANN, and Naïve method, for the flow meters p10012, p10017, p10025, p10031 of the Barcelona network.

Table 4

Performance assessment in terms of MSE, MAE, MAPE, RMSE, with the methods QMMP, Holt–Winters, ANN, and Naïve of flow meter p10012

Method	MSE	MAE	MAPE	RMSE
BM	0.0098	0.0727	25.30%	0.0991
ANN	0.0108	0.0767	22.21%	0.1042
Holt–Winters	0.0156	0.0757	19.20%	0.1078
QMMP + kNN	0.0073	0.0603	15.30%	0.0790
Naïve	0.0137	0.0844	36.4%	0.1173

Method	MSE	MAE	MAPE	RMSE
BM	0.0098	0.0727	25.30%	0.0991
ANN	0.0108	0.0767	22.21%	0.1042
Holt–Winters	0.0156	0.0757	19.20%	0.1078
QMMP + kNN	0.0073	0.0603	15.30%	0.0790
Naïve	0.0137	0.0844	36.4%	0.1173

View Large

Table 5

Performance assessment in terms of MSE, MAE, MAPE, RMSE, with the methods QMMP, Holt–Winters, ANN, and Naïve of flow meter p10025

Method	MSE	MAE	MAPE	RMSE
BM	0.0069	0.0656	17.57%	0.0034
ANN	0.1198	0.2302	30.44%	0.3461
Holt–Winters	1.7455	0.0992	26.57%	0.1631
QMMP + kNN	0.0081	0.0738	19.77%	0.0869
Naïve	0.0117	0.0773	23.09%	0.108333

Method	MSE	MAE	MAPE	RMSE
BM	0.0069	0.0656	17.57%	0.0034
ANN	0.1198	0.2302	30.44%	0.3461
Holt–Winters	1.7455	0.0992	26.57%	0.1631
QMMP + kNN	0.0081	0.0738	19.77%	0.0869
Naïve	0.0117	0.0773	23.09%	0.108333

View Large

Table 6

Performance assessment in terms of MSE, MAE, MAPE, RMSE, with the methods QMMP, Holt–Winters, ANN, and Naïve of flow meter p10031

Method	MSE	MAE	MAPE	RMSE
BM	0.0076	0.0661	14.17%	0.0872247
ANN	0.0131	0.0845	19.32%	0.1144
Holt–Winters	0.0083	0.0660	14.16%	0.0882
QMMP + kNN	0.0136	0.0863	18.51%	0.1159
Naïve	0.0128	0.0810	17.37%	0.11349

Method	MSE	MAE	MAPE	RMSE
BM	0.0076	0.0661	14.17%	0.0872247
ANN	0.0131	0.0845	19.32%	0.1144
Holt–Winters	0.0083	0.0660	14.16%	0.0882
QMMP + kNN	0.0136	0.0863	18.51%	0.1159
Naïve	0.0128	0.0810	17.37%	0.11349

View Large

Table 7

Performance assessment in terms of MSE, MAE, MAPE, RMSE, with the methods QMMP, Holt–Winters, ANN, and Naïve of flow meter 10017

Method	MSE	MAE	MAPE	RMSE
BM	0.0033	0.0452	11.90%	0.0579
ANN	0.0063	0.0762	15.71%	0.0793
Holt–Winters	0.0016	0.0253	6.64%	0.0340
QMMP + kNN	0.0015	0.0238	5.83%	0.0310
Naïve	0.0087	0.0697	18.35%	0.0935

Method	MSE	MAE	MAPE	RMSE
BM	0.0033	0.0452	11.90%	0.0579
ANN	0.0063	0.0762	15.71%	0.0793
Holt–Winters	0.0016	0.0253	6.64%	0.0340
QMMP + kNN	0.0015	0.0238	5.83%	0.0310
Naïve	0.0087	0.0697	18.35%	0.0935

View Large

This Feature Is Available To Subscribers Only