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Article

Statistical Interdependence between Daily Precipitation and Extreme Daily Temperature in Regions of Mexico and Colombia

by
Álvaro Zabaleta-Ortega
1,
Teobaldis Mercado-Fernández
2,
Israel Reyes-Ramírez
1,
Fernando Angulo-Brown
3 and
Lev Guzmán-Vargas
1,*
1
Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Ciudad de México 07340, Mexico
2
Facultad de Ciencias Agrícolas, Universidad de Córdoba, Cra. 6 #77-305, Montería 230002, Colombia
3
Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ciudad de México 07738, Mexico
*
Author to whom correspondence should be addressed.
Entropy 2024, 26(7), 558; https://doi.org/10.3390/e26070558
Submission received: 8 May 2024 / Revised: 20 June 2024 / Accepted: 26 June 2024 / Published: 29 June 2024
(This article belongs to the Section Multidisciplinary Applications)

Abstract

We study the statistical interdependence between daily precipitation and daily extreme temperature for regions of Mexico (14 climatic stations, period 1960–2020) and Colombia (7 climatic stations, period 1973–2020) using linear (cross-correlation and coherence) and nonlinear (global phase synchronization index, mutual information, and cross-sample entropy) synchronization metrics. The information shared between these variables is relevant and exhibits changes when comparing regions with different climatic conditions. We show that precipitation and temperature records from La Mojana are characterized by high persistence, while data from Mexico City exhibit lower persistence (less memory). We find that the information exchange and the level of coupling between the precipitation and temperature are higher for the case of the La Mojana region (Colombia) compared to Mexico City (Mexico), revealing that regions where seasonal changes are almost null and with low temperature gradients (less local variability) tend to display higher synchrony compared to regions where seasonal changes are very pronounced. The interdependence characterization between precipitation and temperature represents a robust option to characterize and analyze the collective dynamics of the system, applicable in climate change studies, as well as in changes not easily identifiable in future scenarios.
Keywords: time series; precipitation; temperature; entropy; synchronization time series; precipitation; temperature; entropy; synchronization

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MDPI and ACS Style

Zabaleta-Ortega, Á.; Mercado-Fernández, T.; Reyes-Ramírez, I.; Angulo-Brown, F.; Guzmán-Vargas, L. Statistical Interdependence between Daily Precipitation and Extreme Daily Temperature in Regions of Mexico and Colombia. Entropy 2024, 26, 558. https://doi.org/10.3390/e26070558

AMA Style

Zabaleta-Ortega Á, Mercado-Fernández T, Reyes-Ramírez I, Angulo-Brown F, Guzmán-Vargas L. Statistical Interdependence between Daily Precipitation and Extreme Daily Temperature in Regions of Mexico and Colombia. Entropy. 2024; 26(7):558. https://doi.org/10.3390/e26070558

Chicago/Turabian Style

Zabaleta-Ortega, Álvaro, Teobaldis Mercado-Fernández, Israel Reyes-Ramírez, Fernando Angulo-Brown, and Lev Guzmán-Vargas. 2024. "Statistical Interdependence between Daily Precipitation and Extreme Daily Temperature in Regions of Mexico and Colombia" Entropy 26, no. 7: 558. https://doi.org/10.3390/e26070558

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