Relationship between Monthly Rainfall in NW Peru and Tropical Sea Surface Temperature

Table 3

Variables and lags used in the linear and exponential models and correlations between modeled and observed rainfall in NW Peru.

Month	Parameters models	Correlation		Constant values
		Exponential model	Linear model	Exponential model (a-b)	Linear model (a–e)
December	𝑚^1 = April, 𝑚^2 = October, and 𝑚^3 = November	0.85	0.45	(0.8527); (7.2447𝑒−17)	(−31.2257); (56.6475); (−18.5818); (17.2338); (−627.7589)
January	𝑚^1 = April, 𝑚^2 = November, and 𝑚^3 = December	0.85	0.6	(0.8517); (5.7781𝑒−17)	(−23.9076) (222.6269) (−114.2665) (15.4083) (−3.0392𝑒+03)
February	𝑚^1= April, 𝑚^2 = October, and 𝑚^3 = August	0.78	0.42	(0.7845) (1.0589𝑒−16)	(−45.1209) (138.8208) (8.2054) (31.6697) (−3.5051𝑒+03)
March	𝑚^1 = July, 𝑚^2 = November, and 𝑚^3 = February	0.75	0.5	(0.7516) (−4.5024𝑒−17)	(−48.0442) (209.8999) (−59.8236) (16.5632) (−3.4925𝑒+03)
April	𝑚^1 = August, 𝑚^2 = October, and 𝑚^3 = February	0.82	0.48	(0.8219) (−3.0232𝑒−16)	(−35.4956) (74.0641) (39.4803) (66.5445) (−3.8771𝑒+03)
May	𝑚^1 = August, 𝑚^2 = February, and 𝑚^3 = March	0.85	0.43	(0.8493) (1.3529𝑒−16)	(−45.0423) (−56.2833) (78.6403) (46.9579) (−586.7617)