IWA Publishing

Skip to Main Content

Table 2

Performances of different models in the training, validation, and testing periods (the results are the mean of 50 calibrations, and the best models are in bold)

Station	Model	Training			Validation			Testing
Station	Model	RMSE (m)	MAE (m)	MAPE (%)	RMSE (m)	MAE (m)	MAPE (%)	RMSE (m)	MAE (m)	MAPE (%)	r
Guanchong	HA	0.167	0.126	159.0				0.190	0.153	130.3	0.952
	EMD-NARX	0.076	0.055	79.7	0.084	0.064	45.8	0.120	0.094	99.6	0.977
	EEMD-NARX	0.041	0.031	43.0	0.061	0.044	28.5	0.075	0.058	57.8	0.991
	EWT-NARX	0.008	0.007	8.2	0.024	0.008	4.3	0.010	0.008	7.0	0.999
Xipaotai	HA	0.159	0.123	99.2				0.191	0.154	113.5	0.954
	EMD-NARX	0.078	0.059	57.9	0.072	0.055	36.3	0.142	0.113	72.8	0.967
	EEMD-NARX	0.040	0.031	27.9	0.056	0.042	24.9	0.062	0.048	36.6	0.995
	EWT-NARX	0.007	0.005	4.7	0.021	0.007	3.5	0.009	0.007	6.8	0.999
Huangjin	HA	0.160	0.127	75.4				0.178	0.141	51.2	0.944
	EMD-NARX	0.064	0.048	27.1	0.078	0.059	27.8	0.167	0.139	77.1	0.969
	EEMD-NARX	0.035	0.026	15.2	0.069	0.048	23.0	0.043	0.030	15.4	0.996
	EWT-NARX	0.006	0.004	2.9	0.017	0.006	2.8	0.014	0.011	4.2	0.999
Denglongshan	HA	0.147	0.118	121.3				0.163	0.128	105.4	0.951
	EMD-NARX	0.057	0.044	53.0	0.071	0.054	44.0	0.105	0.086	103.2	0.982
	EEMD-NARX	0.033	0.025	29.8	0.064	0.044	33.1	0.041	0.029	25.7	0.996
	EWT-NARX	0.005	0.004	4.9	0.015	0.006	4.4	0.008	0.006	6.9	0.999

Station	Model	Training			Validation			Testing
Station	Model	RMSE (m)	MAE (m)	MAPE (%)	RMSE (m)	MAE (m)	MAPE (%)	RMSE (m)	MAE (m)	MAPE (%)	r
Guanchong	HA	0.167	0.126	159.0				0.190	0.153	130.3	0.952
	EMD-NARX	0.076	0.055	79.7	0.084	0.064	45.8	0.120	0.094	99.6	0.977
	EEMD-NARX	0.041	0.031	43.0	0.061	0.044	28.5	0.075	0.058	57.8	0.991
	EWT-NARX	0.008	0.007	8.2	0.024	0.008	4.3	0.010	0.008	7.0	0.999
Xipaotai	HA	0.159	0.123	99.2				0.191	0.154	113.5	0.954
	EMD-NARX	0.078	0.059	57.9	0.072	0.055	36.3	0.142	0.113	72.8	0.967
	EEMD-NARX	0.040	0.031	27.9	0.056	0.042	24.9	0.062	0.048	36.6	0.995
	EWT-NARX	0.007	0.005	4.7	0.021	0.007	3.5	0.009	0.007	6.8	0.999
Huangjin	HA	0.160	0.127	75.4				0.178	0.141	51.2	0.944
	EMD-NARX	0.064	0.048	27.1	0.078	0.059	27.8	0.167	0.139	77.1	0.969
	EEMD-NARX	0.035	0.026	15.2	0.069	0.048	23.0	0.043	0.030	15.4	0.996
	EWT-NARX	0.006	0.004	2.9	0.017	0.006	2.8	0.014	0.011	4.2	0.999
Denglongshan	HA	0.147	0.118	121.3				0.163	0.128	105.4	0.951
	EMD-NARX	0.057	0.044	53.0	0.071	0.054	44.0	0.105	0.086	103.2	0.982
	EEMD-NARX	0.033	0.025	29.8	0.064	0.044	33.1	0.041	0.029	25.7	0.996
	EWT-NARX	0.005	0.004	4.9	0.015	0.006	4.4	0.008	0.006	6.9	0.999