Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh
Multifractal detrended fluctuation analysis (DFA) can extract multi-scaling behavior and measure long-range correlations in climatic time series. In this study, with the help of multifractal DFA, we investigated the scaling behavior of daily minimum/maximum temperatures during the years 1989–2019 fr...
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MDPI AG
2023-07-01
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author | Anxin Liu Zhihua Zhang M. James C. Crabbe Lipon Chandra Das |
author_facet | Anxin Liu Zhihua Zhang M. James C. Crabbe Lipon Chandra Das |
author_sort | Anxin Liu |
collection | DOAJ |
description | Multifractal detrended fluctuation analysis (DFA) can extract multi-scaling behavior and measure long-range correlations in climatic time series. In this study, with the help of multifractal DFA, we investigated the scaling behavior of daily minimum/maximum temperatures during the years 1989–2019 from 34 meteorological stations in Bangladesh. We revealed spatial patterns, topographic impacts and global warming impacts of long-range correlations embedded in small and large fluctuations in temperature time series. Meanwhile, we developed a multifractal DFA-based algorithm to dynamically determine thresholds to discriminate extreme and non-extreme events in climate systems and applied it to analyze the frequency and trends of temperature extremes in Bangladesh. Compared with widely-used percentile thresholds, the extreme climate events captured in our algorithm are more reliable since they are determined dynamically by the climate system itself. |
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format | Article |
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institution | Directory Open Access Journal |
issn | 2504-3110 |
language | English |
last_indexed | 2024-03-11T01:03:46Z |
publishDate | 2023-07-01 |
publisher | MDPI AG |
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series | Fractal and Fractional |
spelling | doaj.art-80db30544b1b497aa3368afab4d82f952023-11-18T19:26:13ZengMDPI AGFractal and Fractional2504-31102023-07-017754010.3390/fractalfract7070540Multifractal Features and Dynamical Thresholds of Temperature Extremes in BangladeshAnxin Liu0Zhihua Zhang1M. James C. Crabbe2Lipon Chandra Das3School of Mathematics, Shandong University, Jinan 250100, ChinaSchool of Mathematics, Shandong University, Jinan 250100, ChinaWolfson College, Oxford University, Oxford OX2 6UD, UKSchool of Mathematics, Shandong University, Jinan 250100, ChinaMultifractal detrended fluctuation analysis (DFA) can extract multi-scaling behavior and measure long-range correlations in climatic time series. In this study, with the help of multifractal DFA, we investigated the scaling behavior of daily minimum/maximum temperatures during the years 1989–2019 from 34 meteorological stations in Bangladesh. We revealed spatial patterns, topographic impacts and global warming impacts of long-range correlations embedded in small and large fluctuations in temperature time series. Meanwhile, we developed a multifractal DFA-based algorithm to dynamically determine thresholds to discriminate extreme and non-extreme events in climate systems and applied it to analyze the frequency and trends of temperature extremes in Bangladesh. Compared with widely-used percentile thresholds, the extreme climate events captured in our algorithm are more reliable since they are determined dynamically by the climate system itself.https://www.mdpi.com/2504-3110/7/7/540scaling behaviorsmall and large fluctuationsthresholds of climate extremesmultifractal detrended fluctuation analysis |
spellingShingle | Anxin Liu Zhihua Zhang M. James C. Crabbe Lipon Chandra Das Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh Fractal and Fractional scaling behavior small and large fluctuations thresholds of climate extremes multifractal detrended fluctuation analysis |
title | Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh |
title_full | Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh |
title_fullStr | Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh |
title_full_unstemmed | Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh |
title_short | Multifractal Features and Dynamical Thresholds of Temperature Extremes in Bangladesh |
title_sort | multifractal features and dynamical thresholds of temperature extremes in bangladesh |
topic | scaling behavior small and large fluctuations thresholds of climate extremes multifractal detrended fluctuation analysis |
url | https://www.mdpi.com/2504-3110/7/7/540 |
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