Comparative Analysis Between Precipitation in the District of Julcan and Precipitation in the Sinsicap District of the La Libertad Region, Peru as of 2023

Abstract

The objective of this investigation is to determine if the rain in the districts of Sinsicap and Julcán are same or different, with the purpose that any hydraulic work designed in one of the districts can be done in the other in a similar way, for which it used a comparative descriptive research design with a quantitative and retrospective approach.

The population that was used was the historical data found in the national water authority (ANA) from 1964 to 2018, and the average rainfall of both places was taken for processing.

The SPPS and Excel software were used for the exploratory analysis of the data and their normality was determined with the Shapiro-Wilk method and the Levene test to determine the equality of variances, after which the t statistic student was used for independent samples with a significance level of 95% to test the proposed hypothesis and it was determined that the rain in both places is the same.

On the other hand, the rain return periods in both districts were determined as specific objectives and then compared using the Gumbel distribution and it was concluded that they are different in both, despite the fact that the rain is the same.

A rain of 100 mm was used as a forecast for both districts; in Sinsicap there will probably be an event of this magnitude or greater in approximately 15.5 years, while in the district of Julcán it will probably occur in approximately 3 years.