Classification of drought severity in contiguous USA during the past 21 years using fractal geometry

Abstract Drought is characterized by a moisture deficit that can adversely impact the environment, economy, and society. In North America, like many regions worldwide, predicting the timing of drought events is challenging. However, our novel study in climate research explores whether the Drought Mo...

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Main Authors: Sepideh Azizi, Tahmineh Azizi
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:EURASIP Journal on Advances in Signal Processing
Subjects:
Online Access:https://doi.org/10.1186/s13634-023-01094-z
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author Sepideh Azizi
Tahmineh Azizi
author_facet Sepideh Azizi
Tahmineh Azizi
author_sort Sepideh Azizi
collection DOAJ
description Abstract Drought is characterized by a moisture deficit that can adversely impact the environment, economy, and society. In North America, like many regions worldwide, predicting the timing of drought events is challenging. However, our novel study in climate research explores whether the Drought Monitor database exhibits fractal characteristics, represented by a single scaling exponent. This database categorizes drought areas by intensity, ranging from D0 (abnormally dry) to D4 (exceptional drought). Through vibration analysis using power spectral densities (PSD), we investigate the presence of power-law scaling in various statistical moments across different scales within the database. Our multi-fractal analysis estimates the multi-fractal spectrum for each category, and the Higuchi algorithm assesses the fractal complexity, revealing that D4 follows a multi-fractal pattern with a wide range of exponents, while D0 to D3 exhibit a mono-fractal nature with a narrower range of exponents.
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spelling doaj.art-125307565fdf4f4b899472dbf4375b852024-01-07T12:53:47ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61802024-01-012024111810.1186/s13634-023-01094-zClassification of drought severity in contiguous USA during the past 21 years using fractal geometrySepideh Azizi0Tahmineh Azizi1Department of Urban and Regional Planning, University of Illinois Urbana-ChampaignDepartment of Urban and Regional Planning, University of Illinois Urbana-ChampaignAbstract Drought is characterized by a moisture deficit that can adversely impact the environment, economy, and society. In North America, like many regions worldwide, predicting the timing of drought events is challenging. However, our novel study in climate research explores whether the Drought Monitor database exhibits fractal characteristics, represented by a single scaling exponent. This database categorizes drought areas by intensity, ranging from D0 (abnormally dry) to D4 (exceptional drought). Through vibration analysis using power spectral densities (PSD), we investigate the presence of power-law scaling in various statistical moments across different scales within the database. Our multi-fractal analysis estimates the multi-fractal spectrum for each category, and the Higuchi algorithm assesses the fractal complexity, revealing that D4 follows a multi-fractal pattern with a wide range of exponents, while D0 to D3 exhibit a mono-fractal nature with a narrower range of exponents.https://doi.org/10.1186/s13634-023-01094-zFractal geometryMulti-fractal analysisPower spectral densities (PSD)Fractal dimensionThe Drought Monitor database
spellingShingle Sepideh Azizi
Tahmineh Azizi
Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
EURASIP Journal on Advances in Signal Processing
Fractal geometry
Multi-fractal analysis
Power spectral densities (PSD)
Fractal dimension
The Drought Monitor database
title Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
title_full Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
title_fullStr Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
title_full_unstemmed Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
title_short Classification of drought severity in contiguous USA during the past 21 years using fractal geometry
title_sort classification of drought severity in contiguous usa during the past 21 years using fractal geometry
topic Fractal geometry
Multi-fractal analysis
Power spectral densities (PSD)
Fractal dimension
The Drought Monitor database
url https://doi.org/10.1186/s13634-023-01094-z
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