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A probe into the behaviour of total ozone time series through multifractal detrended fluctuation analysis

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Abstract

The present study reports a multifractal detrended fluctuation analysis (MF-DFA) of total ozone time series. Considering daily total ozone concentration (TOC) data ranging from 2015 to 2019, derived from Ozone Monitoring Instrument (OMI)/Aura observations, we have created a new profile by subtracting the trend. Subsequently, we have divided the profile \({X}_{i}\) into non-intersecting segments of equal time scale varying from 25 to 30. Fitting a second order polynomial, we have eliminated the local trend from each segment, and thereafter, we have computed the detrended variance. Finally, the multifractal behaviour has been identified, and the singularity spectra has helped us in obtaining the generalised Hurst exponent which in this case has come out to be greater than 0.5.

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Data availability

The total ozone concentration data have been obtained from OMDOAO3e: OMI/Aura Ozone (O3) DOAS Total Column L3.

Code availability

Computation has been carried out using Mathematica.

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Acknowledgements

The authors sincerely acknowledge the insightful comments from the anonymous reviewers. The total ozone concentration data have been obtained from https://giovanni.gsfc.nasa.gov/giovanni (downloaded on January 3, 2020).

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Authors and Affiliations

  1. Department of Mathematics, Amity University Kolkata, Major Arterial Road, Action Area II, New Town, Kolkata, 700135, India

    Sombit Chakraborty & Surajit Chattopadhyay

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  1. Sombit Chakraborty
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  2. Surajit Chattopadhyay
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Correspondence to Surajit Chattopadhyay.

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Chakraborty, S., Chattopadhyay, S. A probe into the behaviour of total ozone time series through multifractal detrended fluctuation analysis. Theor Appl Climatol 148, 671–677 (2022). https://doi.org/10.1007/s00704-022-03967-z

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