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Multifractal scaling properties of daily air temperature time series

Author

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  • Kalamaras, N.
  • Philippopoulos, K.
  • Deligiorgi, D.
  • Tzanis, C.G.
  • Karvounis, G.

Abstract

The aim of the current research study is to examine the scaling properties of the mean daily, maximum and minimum air temperature time series of a single coastal site, located at the island of Crete in Greece. The Multifractal Detrended Fluctuation Analysis (MF-DFA) is used to examine the time series long-term correlation and the singularity spectrum to estimate the multifractality degree. The analysis reveals that the daily temperature time series exhibit a multifractal behavior, are positive long-term correlated and that their multifractal structure is insensitive to local fluctuations with large magnitudes.

Suggested Citation

  • Kalamaras, N. & Philippopoulos, K. & Deligiorgi, D. & Tzanis, C.G. & Karvounis, G., 2017. "Multifractal scaling properties of daily air temperature time series," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 38-43.
  • Handle: RePEc:eee:chsofr:v:98:y:2017:i:c:p:38-43
    DOI: 10.1016/j.chaos.2017.03.003
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    1. Buldyrev, S.V. & Dokholyan, N.V. & Goldberger, A.L. & Havlin, S. & Peng, C.-K. & Stanley, H.E. & Viswanathan, G.M., 1998. "Analysis of DNA sequences using methods of statistical physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 430-438.
    2. Kavasseri, Rajesh G. & Nagarajan, Radhakrishnan, 2005. "A multifractal description of wind speed records," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 165-173.
    3. Yuan, Naiming & Fu, Zuntao & Mao, Jiangyu, 2010. "Different scaling behaviors in daily temperature records over China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4087-4095.
    4. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    5. Ivanova, K & Ausloos, M, 1999. "Application of the detrended fluctuation analysis (DFA) method for describing cloud breaking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 349-354.
    6. Koscielny-Bunde, Eva & Bunde, Armin & Havlin, Shlomo & Goldreich, Yair, 1996. "Analysis of daily temperature fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 393-396.
    7. Rehman, Shafiqur & El-Gebeily, Mohamed, 2009. "A study of Saudi climatic parameters using climatic predictability indices," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1055-1069.
    8. Lin, Guangxing & Chen, Xi & Fu, Zuntao, 2007. "Temporal–spatial diversities of long-range correlation for relative humidity over China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 585-594.
    9. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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    Cited by:

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    3. Josselin Garnier & Knut Solna, 2018. "Chaos and Order in the Bitcoin Market," Papers 1809.08403, arXiv.org, revised Apr 2019.
    4. Tzanis, Chris G. & Kalamaras, Nikolaos & Philippopoulos, Kostas & Deligiorgi, Despina, 2022. "The multifractal nature of dew point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
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    6. Grahovac, Danijel, 2020. "Multifractal processes: Definition, properties and new examples," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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    8. Santos, Fábio Sandro dos & Nascimento, Kerolly Kedma Felix do & Jale, Jader da Silva & Stosic, Tatijana & Marinho, Manoel H.N. & Ferreira, Tiago A.E., 2021. "Mixture distribution and multifractal analysis applied to wind speed in the Brazilian Northeast region," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
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