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Mathematical Problems in Engineering
Volume 2015, Article ID 629254, 7 pages
Research Article

Clustering of Rainfall Stations in RH-24 Mexico Region Using the Hurst Exponent in Semivariograms

1Instituto Tecnológico de Nuevo León, 67170 Guadalupe, NL, Mexico
2Universidad Autónoma de Nuevo León, 66451 San Nicolás de los Garza, NL, Mexico
3Tecnológico de Monterrey, 64849 Monterrey, NL, Mexico

Received 15 August 2015; Revised 14 November 2015; Accepted 23 November 2015

Academic Editor: Costas Panagiotakis

Copyright © 2015 Francisco Gerardo Benavides-Bravo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An important topic in the study of the time series behavior and, in particular, meteorological time series is the long-range dependence. This paper explores the behavior of rainfall variations in different periods, using long-range correlations analysis. Semivariograms and Hurst exponent were applied to historical data in different pluviometric stations of the Río Bravo-San Juan watershed, at the hydrographic RH-24 Mexico region. The database was provided by the Water National Commission (CONAGUA). Using the semivariograms, the Hurst exponent was obtained and used as an input to perform a cluster analysis of rainfall stations. Groups of homogeneous samples that might be useful in a regional frequency analysis were obtained through the process.