Spatial Variability of the Hurst Exponent for the Daily Scale Rainfall Series in the State of Zacatecas, Mexico

Spatial Variability of the Hurst Exponent for the Daily Scale Rainfall Series in the State of Zacatecas, Mexico

The structural pattern of rainfall data exhibits random fluctuations over time and space. Utilizing concepts of fractal theory, it has been possible to identify characteristics of rainfall data beyond simple statistical indicators of their randomness. The objective of this research was to identify t...

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Bibliographic Details
Published in:Journal of applied meteorology and climatology Vol. 52; no. 12; pp. 2771 - 2780
Main Authors: Valle, M. A. Velásquez, García, G. Medina, Cohen, Ignacio Sánchez, Oleschko, L. Klaudia, Corral, J. A. Ruiz, Korvin, Gabor
Format: Journal Article
Language:English
Published: Boston, MA American Meteorological Society 01-12-2013
Subjects:
Agricultural production
Altitude
Annual rainfall
Brownian motion
Daily rainfall
Drought
Earth, ocean, space
Exact sciences and technology
Expected values
Exponents
External geophysics
Fractal analysis
Fractals
Geography
Geophysics. Techniques, methods, instrumentation and models
Hydrologic data
Longitude
Meteorology
Missing data
Precipitation
Rain
Rainfall
Rainfall data
Software
Spatial variability
Spatial variations
Standard deviation
Time series
Water in the atmosphere (humidity, clouds, evaporation, precipitation)
Wavelet
Wavelet transforms
Weather stations
Mexico
Zacatecas Mexico
Climatology
rainfall
atmospheric precipitation
Time series
spatial variations
wavelet transformation
North America
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Summary:The structural pattern of rainfall data exhibits random fluctuations over time and space. Utilizing concepts of fractal theory, it has been possible to identify characteristics of rainfall data beyond simple statistical indicators of their randomness. The objective of this research was to identify the spatial variation of the Hurst exponent, extracted through standard wavelet techniques from time series of daily rainfall data in the state of Zacatecas, Mexico. The Hurst exponent was extracted for 26 locations using the reference techniques for auto-affine traces—in particular, the wavelets method. Results have shown that the Hurst exponents of rainfall time series are negatively influenced by altitude; thus, stations located at higher altitudes were characterized by Hurst exponents indicating more nonpersistent behavior. The trends among geographical variables (west longitude and latitude) and climatic parameters (annual rainfall and number of rainy days) and their relationship with the Hurst exponent were also analyzed.
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ISSN:1558-8424
1558-8432
DOI:10.1175/JAMC-D-13-0136.1