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Table 4

Statistical parameters of the integrated pre-post-processing-meta-model approaches for selected stations

Model	Validation			Testing			Validation			Testing
Model	DC	RMSE	AIC	RMSE	DC	AIC	DC	RMSE	AIC	DC	RMSE	AIC
SPI 3	Tabriz						Urmia
WT-EEMD-NNEM	0.931	0.473	−59.159	0.915	0.511	−53.107	0.949	0.357	−113.68	0.932	0.371	−109.32
WT-EEMD-SLAM	0.904	0.482	−56.099	0.897	0.531	−50.360	0.923	0.390	−107.80	0.899	0.412	−100.05
	Ardabil						Makoo
WT-EEMD-NNEM	0.902	0.466	−65.422	0.891	0.511	−57.234	0.934	0.495	−104.21	0.914	0.516	−97.214
WT-EEMD-SLAM	0.890	0.518	−62.038	0.875	0.524	−49.254	0.908	0.535	−98.82	0.899	0.558	−87.418
SPI 9	Tabriz						Urmia
WT-EEMD-NNEM	0.967	0.325	−71.217	0.946	0.359	−70.124	0.988	0.297	−145.75	0.956	0.339	−128.14
WT-EEMD-SLAM	0.948	0.344	−69.922	0.936	0.375	−65.231	0.974	0.307	−139.53	0.936	0.350	−119.07
	Ardabil						Makoo
WT-EEMD-NNEM	0.963	0.415	−65.644	0.927	0.452	−55.218	0.954	0.422	−111.88	0.935	0.442	−99.218
WT-EEMD-SLAM	0.944	0.439	−64.450	0.918	0.473	−50.911	0.940	0.437	−109.84	0.916	0.467	−95.057
SPI 24	Tabriz						Urmia
WT-EEMD-NNEM	0.978	0.256	−106.14	0.952	0.283	−97.216	0.988	0.195	−151.89	0.953	0.231	−133.10
WT-EEMD-SLAM	0.967	0.271	−104.21	0.947	0.296	−90.004	0.973	0.202	−149.13	0.941	0.244	−130.11
	Ardabil						Makoo
WT-EEMD-NNEM	0.985	0.298	−92.629	0.973	0.334	−88.217	0.971	0.306	−160.47	0.951	0.324	−155.24
WT-EEMD-SLAM	0.975	0.316	−90.945	0.968	0.349	−81.114	0.951	0.320	−157.56	0.933	0.347	−150.10

Model	Validation			Testing			Validation			Testing
Model	DC	RMSE	AIC	RMSE	DC	AIC	DC	RMSE	AIC	DC	RMSE	AIC
SPI 3	Tabriz						Urmia
WT-EEMD-NNEM	0.931	0.473	−59.159	0.915	0.511	−53.107	0.949	0.357	−113.68	0.932	0.371	−109.32
WT-EEMD-SLAM	0.904	0.482	−56.099	0.897	0.531	−50.360	0.923	0.390	−107.80	0.899	0.412	−100.05
	Ardabil						Makoo
WT-EEMD-NNEM	0.902	0.466	−65.422	0.891	0.511	−57.234	0.934	0.495	−104.21	0.914	0.516	−97.214
WT-EEMD-SLAM	0.890	0.518	−62.038	0.875	0.524	−49.254	0.908	0.535	−98.82	0.899	0.558	−87.418
SPI 9	Tabriz						Urmia
WT-EEMD-NNEM	0.967	0.325	−71.217	0.946	0.359	−70.124	0.988	0.297	−145.75	0.956	0.339	−128.14
WT-EEMD-SLAM	0.948	0.344	−69.922	0.936	0.375	−65.231	0.974	0.307	−139.53	0.936	0.350	−119.07
	Ardabil						Makoo
WT-EEMD-NNEM	0.963	0.415	−65.644	0.927	0.452	−55.218	0.954	0.422	−111.88	0.935	0.442	−99.218
WT-EEMD-SLAM	0.944	0.439	−64.450	0.918	0.473	−50.911	0.940	0.437	−109.84	0.916	0.467	−95.057
SPI 24	Tabriz						Urmia
WT-EEMD-NNEM	0.978	0.256	−106.14	0.952	0.283	−97.216	0.988	0.195	−151.89	0.953	0.231	−133.10
WT-EEMD-SLAM	0.967	0.271	−104.21	0.947	0.296	−90.004	0.973	0.202	−149.13	0.941	0.244	−130.11
	Ardabil						Makoo
WT-EEMD-NNEM	0.985	0.298	−92.629	0.973	0.334	−88.217	0.971	0.306	−160.47	0.951	0.324	−155.24
WT-EEMD-SLAM	0.975	0.316	−90.945	0.968	0.349	−81.114	0.951	0.320	−157.56	0.933	0.347	−150.10