Improved Rainfall Prediction through Nonlinear Autoregressive Network with Exogenous Variables: A Case Study in Andes High Mountain Region

Appendix

	Labrado						Chirimachay
Lags	Model	1	2	3	4	5	1	2	3	4	5
L0	Ridge	Niño 1 + 2	Niño 3	ONI	WP	HURR	Niño 1 + 2	Niño 3	SOLAR	TNI	TSA
	Lasso	Niño 3	Niño 1 + 2	ONI	WP	NTA	Niño 3	Niño 1 + 2	ONI	SOLAR	TNI
L1	Ridge	Niño 1 + 2_1	NP_1	ONI	HURR_1	Rainfall_1	Rainfall_1	Niño 1 + 2_1	NP_1	HURR_1	TSA_1
	Lasso	Niño 1 + 2_1	NP_1	HURR_1	Rainfall_1	TSA_1	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_1	TSA_1
L2	Ridge	Niño 1 + 2_1	NP_1	Rainfall_1	Niño 1 + 2_2	HURR_1	Rainfall_1	NP_1	Niño 1 + 2_1	HURR_1	NAO_2
	Lasso	Niño 1 + 2_1	NP_1	HURR_1	Rainfall_1	GMSST_2	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_1	NAO_2
L3	Ridge	Niño 1 + 2_1	NP_1	Rainfall_1	Rainfall_3	SAHELRAIN_3	Rainfall_1	NP_1	Rainfall_3	Niño 1 + 2_1	NAO_2
	Lasso	Niño 1 + 2_1	NP_1	Rainfall_1	HURR_1	Rainfall_3	Niño 1 + 2_1	Rainfall_1	NP_1	NAO_2	Rainfall_3
L4	Ridge	NP_1	Niño 1 + 2_1	Rainfall_3	Rainfall_1	SAHELRAIN_3	Rainfall_1	Rainfall_3	NP_1	Niño 1 + 2_1	NAO_2
	Lasso	Niño 1 + 2_1	Rainfall_1	Niño 1 + 2_4	NP_1	Rainfall_3	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_1	Rainfall_3
L5	Ridge	Niño 1 + 2_1	Rainfall_1	Rainfall_3	NP_1	SAHELRAIN_3	Rainfall_1	Rainfall_3	NP_1	Niño 1 + 2_1	NAO_2
	Lasso	Niño 1 + 2_1	Niño 1 + 2_5	Rainfall_3	Rainfall_1	Niño 4_5	Niño 1 + 2_1	Rainfall_1	NP_1	Rainfall_3	NAO_2
L6	Ridge	Niño 1 + 2_1	Rainfall_3	Rainfall_1	SAHELRAIN_3	NP_1	Rainfall_1	Rainfall_6	Niño 1 + 2_1	Rainfall_3	NP_1
	Lasso	Niño 1 + 2_1	Niño 1 + 2_5	Rainfall_3	Rainfall_1	Niño 4_5	Niño 1 + 2_1	Rainfall_1	NP_1	Rainfall_6	Rainfall_3
L7	Ridge	HURR_7	Rainfall_1	Niño 1 + 2_1	Rainfall_3	NP_1	Rainfall_1	HURR_7	Rainfall_3	Rainfall_6	Niño 1 + 2_1
	Lasso	Niño 1 + 2_1	Niño 1 + 2_5	HURR_7	Rainfall_1	Rainfall_3	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_7	Rainfall_3
L8	Ridge	HURR_7	Niño 1 + 2_1	Rainfall_1	NP_1	Rainfall_3	Rainfall_1	HURR_7	Rainfall_3	Rainfall_6	Rainfall_8
	Lasso	Niño 1 + 2_1	Niño 1 + 2_5	HURR_7	Rainfall_3	Rainfall_1	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_7	Rainfall_8
L9	Ridge	HURR_7	SAHELRAIN_3	Rainfall_3	Rainfall_1	NP_1	Rainfall_1	HURR_7	Rainfall_6	Rainfall_8	Rainfall_3
	Lasso	Niño 1 + 2_1	Niño 1 + 2_5	HURR_7	Rainfall_3	Rainfall_1	Niño 1 + 2_1	Rainfall_1	HURR_7	NP_1	Rainfall_8
L10	Ridge	HURR_7	Rainfall_1	Niño 1 + 2_1	SAHELRAIN_3	NP_1	Rainfall_1	HURR_7	Rainfall_6	Niño 1 + 2_1	Rainfall_3
	Lasso	Niño 1 + 2_1	HURR_7	Rainfall_1	Rainfall_3	BEST_9	Niño 1 + 2_1	Rainfall_1	NP_1	HURR_7	Rainfall_8
L11	Ridge	HURR_7	Rainfall_3	SAHELRAIN_3	Rainfall_1	NP_1	Rainfall_1	Rainfall_11	HURR_7	Rainfall_6	Rainfall_8
	Lasso	Niño 1 + 2_1	HURR_7	Rainfall_3	Rainfall_1	SOI_11	Niño 1 + 2_1	Rainfall_1	Rainfall_11	HURR_7	NP_1
L12	Ridge	Rainfall_12	HURR_7	Rainfall_3	SAHELRAIN_3	NP_1	Rainfall_12	Rainfall_1	Rainfall_11	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	SOI_11	Rainfall_3	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L13	Ridge	Rainfall_12	HURR_7	Rainfall_3	NP_1	SAHELRAIN_3	Rainfall_12	Rainfall_1	Rainfall_11	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	Rainfall_3	SOI_11	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L14	Ridge	Rainfall_12	HURR_7	Rainfall_3	NP_1	Rainfall_1	Rainfall_1	Rainfall_12	Rainfall_11	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	Rainfall_3	SOI_11	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L15	Ridge	Rainfall_12	HURR_7	Rainfall_3	NP_1	Niño 1 + 2_1	Rainfall_12	Rainfall_11	Rainfall_1	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	NP_1	Rainfall_1	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	HURR_7
L16	Ridge	Rainfall_12	Rainfall_3	HURR_7	SAHELRAIN_3	SAHELRAIN_5	Rainfall_11	Rainfall_12	Rainfall_1	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	Rainfall_3	Rainfall_1	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L17	Ridge	Rainfall_12	HURR_7	NP_1	Niño 1 + 2_1	Rainfall_3	Rainfall_12	Rainfall_1	Rainfall_11	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	HURR_7	NP_1	Rainfall_1	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L18	Ridge	Rainfall_12	HURR_7	Rainfall_3	NP_1	Niño 1 + 2_1	Rainfall_12	Rainfall_11	Rainfall_1	HURR_7	Rainfall_6
	Lasso	Niño 1 + 2_1	Niño 1 + 2_18	Rainfall_12	NP_1	HURR_7	Niño 1 + 2_1	Rainfall_1	Rainfall_12	Rainfall_11	NP_1
L19	Ridge	Rainfall_3	Rainfall_12	SAHELRAIN_3	HURR_7	SAHELRAIN_5	Rainfall_12	Rainfall_11	Rainfall_1	HURR_19	Rainfall_6
	Lasso	Niño 1 + 2_1	Niño 1 + 2_18	Rainfall_12	NP_1	Rainfall_1	Niño 1 + 2_1	Rainfall_1	HURR_19	NP_1	Rainfall_12
L20	Ridge	Rainfall_12	Rainfall_3	HURR_7	HURR_19	SAHELRAIN_3	Rainfall_12	Rainfall_11	Rainfall_1	HURR_19	Rainfall_17
	Lasso	Niño 1 + 2_18	Niño 1 + 2_1	Rainfall_12	NP_1	Rainfall_1	Niño 1 + 2_1	Rainfall_1	HURR_19	Rainfall_12	Rainfall_11
L21	Ridge	Rainfall_12	Rainfall_3	HURR_7	SAHELRAIN_3	HURR_19	Rainfall_11	Rainfall_12	Rainfall_1	HURR_19	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_3	Rainfall_12	NP_1	HURR_7	Niño 1 + 2_1	Rainfall_1	HURR_19	Rainfall_11	Rainfall_12
L22	Ridge	Rainfall_12	Rainfall_3	HURR_7	HURR_19	SAHELRAIN_3	Rainfall_11	Rainfall_12	Rainfall_1	HURR_19	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_12	Niño 1 + 2_18	NP_1	Rainfall_3	Niño 1 + 2_1	Rainfall_1	HURR_19	Niño 3_16	NP_1
L23	Ridge	Rainfall_3	Rainfall_12	SAHELRAIN_3	HURR_7	AO_14	Rainfall_11	Rainfall_12	Rainfall_1	HURR_19	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_3	Rainfall_12	Niño 1 + 2_18	NP_1	Niño 1 + 2_1	Rainfall_1	Rainfall_11	Rainfall_12	HURR_19
L24	Ridge	Rainfall_3	SAHELRAIN_3	Rainfall_12	AO_14	SAHELRAIN_5	Rainfall_11	Rainfall_12	Rainfall_1	HURR_19	Rainfall_6
	Lasso	Niño 1 + 2_1	Rainfall_3	Rainfall_12	Niño 1 + 2_18	NP_1	Niño 1 + 2_1	Rainfall_1	HURR_19	Rainfall_11	Rainfall_12