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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Format: | Article |
Language: | English |
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SpringerOpen
2024-01-01
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Series: | EURASIP Journal on Advances in Signal Processing |
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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. |
first_indexed | 2024-03-08T16:12:02Z |
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institution | Directory Open Access Journal |
issn | 1687-6180 |
language | English |
last_indexed | 2024-03-08T16:12:02Z |
publishDate | 2024-01-01 |
publisher | SpringerOpen |
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series | EURASIP Journal on Advances in Signal Processing |
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 |
work_keys_str_mv | AT sepidehazizi classificationofdroughtseverityincontiguoususaduringthepast21yearsusingfractalgeometry AT tahminehazizi classificationofdroughtseverityincontiguoususaduringthepast21yearsusingfractalgeometry |