Table 3 The results of the developed methods during the training stage in the validity phase.

Scenario	Method	Statistical indices				Method	Scenario	Statistical indices
Scenario	Method	NRMSE	R²	NSE	IA	Method	Scenario	NRMSE	R²	NSE	IA
I	MLR	0.121	0.615	0.615	0.868	GMDH	I	0.116	0.651	0.651	0.884
II		0.09	0.735	0.735	0.918		II	0.091	0.731	0.731	0.916
III		0.103	0.729	0.729	0.917		III	0.088	0.804	0.804	0.943
IV		0.099	0.798	0.798	0.941		IV	0.085	0.852	0.852	0.958
V		0.127	0.558	0.558	0.841		V	0.118	0.619	0.619	0.871
Avg		0.108	0.687	0.687	0.897		Avg	0.1	0.731	0.731	0.914
I	MLPNN	0.08	0.833	0.833	0.953	NGMDH-TFWO	I	0.105	0.713	0.713	0.909
II		0.07	0.842	0.842	0.956		II	0.083	0.775	0.775	0.933
III		0.069	0.88	0.88	0.967		III	0.093	0.78	0.777	0.93
IV		0.059	0.928	0.928	0.981		IV	0.088	0.846	0.841	0.957
V		0.097	0.744	0.744	0.923		V	0.121	0.601	0.601	0.862
Avg		0.075	0.845	0.845	0.956		Avg	0.098	0.743	0.741	0.918
I	ANFIS	0.078	0.839	0.723	0.922	CART	I	0.04	0.959	0.959	0.989
II		0.072	0.83	0.464	0.876		II	0.034	0.963	0.963	0.99
III		0.07	0.874	0.824	0.949		III	0.03	0.976	0.976	0.994
IV		0.063	0.918	0.793	0.936		IV	0.015	0.995	0.995	0.999
V		0.101	0.725	0.52	0.857		V	0.046	0.941	0.941	0.985
Avg		0.0768	0.8372	0.6648	0.908		Avg	0.033	0.967	0.967	0.992
I	LSTM	0.117	0.644	0.715	0.92	RF	I	0.021	0.989	0.989	0.997
II		0.09	0.747	0.678	0.928		II	0.019	0.988	0.988	0.997
III		0.095	0.767	0.816	0.944		III	0.017	0.992	0.992	0.998
IV		0.084	0.855	0.722	0.913		IV	0.013	0.997	0.996	0.999
V		0.121	0.599	0.567	0.873		V	0.025	0.984	0.983	0.996
Avg		0.101	0.722	0.7	0.916		Avg	0.019	0.99	0.989	0.997
I	LSTM-TFWO	0.092	0.78	0.78	0.935	XGBoost	I	0.009	0.998	0.998	1
II		0.084	0.771	0.771	0.931		II	0.007	0.998	0.998	1
III		0.082	0.827	0.827	0.952		III	0.006	0.999	0.999	1
IV		0.07	0.9	0.9	0.973		IV	0.004	1	1	1
V		0.105	0.697	0.697	0.904		V	0.009	0.998	0.998	0.999
Avg		0.087	0.795	0.795	0.939		Avg	0.007	0.999	0.999	1

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