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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Main Authors: Anxin Liu, Zhihua Zhang, M. James C. Crabbe, Lipon Chandra Das
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/7/7/540
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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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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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