IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v604y2022ics037843712200588x.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712200588X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127923?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhan, Cun & Liang, Chuan & Zhao, Lu & Jiang, Shouzheng & Niu, Kaijie & Zhang, Yaling, 2023. "Multifractal characteristics of multiscale drought in the Yellow River Basin, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhan, Cun & Liang, Chuan & Zhao, Lu & Jiang, Shouzheng & Niu, Kaijie & Zhang, Yaling, 2023. "Multifractal characteristics of multiscale drought in the Yellow River Basin, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    2. Li, Xing, 2021. "On the multifractal analysis of air quality index time series before and during COVID-19 partial lockdown: A case study of Shanghai, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    3. F. Cavalli & A. Naimzada & N. Pecora & M. Pireddu, 2021. "Market sentiment and heterogeneous agents in an evolutive financial model," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1189-1219, September.
    4. Chen, Wang & Wei, Yu & Lang, Qiaoqi & Lin, Yu & Liu, Maojuan, 2014. "Financial market volatility and contagion effect: A copula–multifractal volatility approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 289-300.
    5. Liu, Zhicao & Ye, Yong & Ma, Feng & Liu, Jing, 2017. "Can economic policy uncertainty help to forecast the volatility: A multifractal perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 181-188.
    6. Lee, Hojin & Chang, Woojin, 2015. "Multifractal regime detecting method for financial time series," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 117-129.
    7. Buonocore, R.J. & Aste, T. & Di Matteo, T., 2016. "Measuring multiscaling in financial time-series," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 38-47.
    8. Chen, Feier & Tian, Kang & Ding, Xiaoxu & Miao, Yuqi & Lu, Chunxia, 2016. "Finite-size effect and the components of multifractality in transport economics volatility based on multifractal detrending moving average method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1058-1066.
    9. Rodriguez-Romo, Suemi & Sosa-Herrera, Antonio, 2013. "Lacunarity and multifractal analysis of the large DLA mass distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3316-3328.
    10. Gui, Jun & Zheng, Zeyu & Fu, Dianzheng & Fu, Yang & Liu, Zhi, 2021. "Long-term correlations and multifractality of toll-free calls in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    11. Xiong, Gang & Zhang, Shuning & Yang, Xiaoniu, 2012. "The fractal energy measurement and the singularity energy spectrum analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6347-6361.
    12. Jun Taek Lee & Damian G. Kelty-Stephen, 2017. "Cascade-Driven Series with Narrower Multifractal Spectra Than Their Surrogates: Standard Deviation of Multipliers Changes Interactions across Scales," Complexity, Hindawi, vol. 2017, pages 1-8, January.
    13. Ruan, Qingsong & Zhang, Manqian & Lv, Dayong & Yang, Haiquan, 2018. "SAD and stock returns revisited: Nonlinear analysis based on MF-DCCA and Granger test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1009-1022.
    14. Yang, Yan-Hong & Xie, Wen-Jie & Li, Ming-Xia & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2017. "Statistical properties of user activity fluctuations in virtual worlds," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 271-278.
    15. Fernández-Martínez, M. & Sánchez-Granero, M.A. & Casado Belmonte, M.P. & Trinidad Segovia, J.E., 2020. "A note on power-law cross-correlated processes," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    16. Yao, Can-Zhong & Lin, Ji-Nan & Zheng, Xu-Zhou, 2017. "Coupling detrended fluctuation analysis for multiple warehouse-out behavioral sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 75-90.
    17. Cao, Guangxi & Xu, Longbing & Cao, Jie, 2012. "Multifractal detrended cross-correlations between the Chinese exchange market and stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4855-4866.
    18. Caraiani, Petre & Haven, Emmanuel, 2015. "Evidence of multifractality from CEE exchange rates against Euro," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 395-407.
    19. Liu, Chenggong & Shang, Pengjian & Feng, Guochen, 2017. "The high order dispersion analysis based on first-passage-time probability in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 1-9.
    20. Liu, Zhichao & Ma, Feng & Long, Yujia, 2015. "High and low or close to close prices? Evidence from the multifractal volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 50-61.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s037843712200588x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.