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Multifractality of global sea level heights in the satellite altimeter-era

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  • Gao, Meng
  • Zhang, Aidi
  • Zhang, Han
  • Pang, Yufei
  • Wang, Yueqi

Abstract

Sea level rise is the major concern of climate change research. Beside the positive trends, global sea levels also demonstrate a complex scaling behavior. In this study, multifractal analyses based on the multifractal detrended fluctuation analysis (MFDFA) method are conducted to the global sea level anomaly (SLA) time series in the altimeter-era since 1993. By eliminating the multifractality caused by finite-size effect, the effective multifractality is estimated as the degree of multifractality of SLA time series. The results of show that global SLA time series are multifractals rather than monofractals. Long range dependence was also heuristically demonstrated by both autocorrelation functions and multifractal spectrums, respectively. The complex spatial patterns of sea level changes and multifractality could be partly explained by different mechanisms such as thermal expansion, the shift of ocean currents, and river injections, which are all associated with global climate change.

Suggested Citation

  • Gao, Meng & Zhang, Aidi & Zhang, Han & Pang, Yufei & Wang, Yueqi, 2022. "Multifractality of global sea level heights in the satellite altimeter-era," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s037843712200588x
    DOI: 10.1016/j.physa.2022.127923
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    1. Sönke Dangendorf & Marta Marcos & Alfred Müller & Eduardo Zorita & Riccardo Riva & Kevin Berk & Jürgen Jensen, 2015. "Detecting anthropogenic footprints in sea level rise," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
    2. Zhan, Cun & Liang, Chuan & Zhao, Lu & Zhang, Yaling & Cheng, Long & Jiang, Shouzheng & Xing, Liwen, 2021. "Multifractal characteristics analysis of daily reference evapotranspiration in different climate zones of China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    3. Thomas Frederikse & Felix Landerer & Lambert Caron & Surendra Adhikari & David Parkes & Vincent W. Humphrey & Sönke Dangendorf & Peter Hogarth & Laure Zanna & Lijing Cheng & Yun-Hao Wu, 2020. "The causes of sea-level rise since 1900," Nature, Nature, vol. 584(7821), pages 393-397, August.
    4. Angélique Melet & Benoit Meyssignac & Rafael Almar & Gonéri Le Cozannet, 2018. "Under-estimated wave contribution to coastal sea-level rise," Nature Climate Change, Nature, vol. 8(3), pages 234-239, March.
    5. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.
    6. Sönke Dangendorf & Carling Hay & Francisco M. Calafat & Marta Marcos & Christopher G. Piecuch & Kevin Berk & Jürgen Jensen, 2019. "Persistent acceleration in global sea-level rise since the 1960s," Nature Climate Change, Nature, vol. 9(9), pages 705-710, September.
    7. 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.
    8. Barbosa, S.M. & Fernandes, M.J. & Silva, M.E., 2006. "Long-range dependence in North Atlantic sea level," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 725-731.
    9. Ivan D. Haigh & Thomas Wahl & Eelco J. Rohling & René M. Price & Charitha B. Pattiaratchi & Francisco M. Calafat & Sönke Dangendorf, 2014. "Timescales for detecting a significant acceleration in sea level rise," Nature Communications, Nature, vol. 5(1), pages 1-11, May.
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