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The temporal correlation of fluctuation–variation in the non-stationary complex climate system

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  • Zhang, Xu
  • Huang, Tao
  • Wang, Chunping
  • Zeng, Chunhua

Abstract

In this article we mainly focus on the temporal correlation between the past dynamic fluctuations and the future motion of the dynamic variables in the climate system by means of a new temporal correlation function. When the complex climate system is assumed to be in the stationary states, that is, the dynamic effects of the non-stationary states are not considered, the above correlation is weak or even non-existent. Unexpectedly, a good correlation is shown when the dynamic effects of the non-stationary states are taken into account. Subsequently, we analyze the main factors contributing to these results and conclude that the small fluctuations make a major contribution to this. At the same time, we also find that this correlation function is somewhat stable over time scales. Finally, we extend our analysis by using the persistence probabilities. Knowing these is of key importance for the study of climate analysis and prediction.

Suggested Citation

  • Zhang, Xu & Huang, Tao & Wang, Chunping & Zeng, Chunhua, 2023. "The temporal correlation of fluctuation–variation in the non-stationary complex climate system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008743
    DOI: 10.1016/j.physa.2022.128316
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    1. Hao Gao & Weixin Yang & Jiawei Wang & Xiaoyun Zheng, 2020. "Analysis of the Effectiveness of Air Pollution Control Policies Based on Historical Evaluation and Deep Learning Forecast: A Case Study of Chengdu-Chongqing Region in China," Sustainability, MDPI, vol. 13(1), pages 1-28, December.
    2. X. F. Jiang & B. Zheng, 2012. "Anti-correlation and subsector structure in financial systems," Papers 1201.6418, arXiv.org.
    3. Ren, F. & Zheng, B. & Lin, H. & Wen, L.Y. & Trimper, S., 2005. "Persistence probabilities of the German DAX and Shanghai Index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 439-450.
    4. Máté Nagy & Zsuzsa Ákos & Dora Biro & Tamás Vicsek, 2010. "Hierarchical group dynamics in pigeon flocks," Nature, Nature, vol. 464(7290), pages 890-893, April.
    5. Mikhaylov, A.N. & Guseinov, D.V. & Belov, A.I. & Korolev, D.S. & Shishmakova, V.A. & Koryazhkina, M.N. & Filatov, D.O. & Gorshkov, O.N. & Maldonado, D. & Alonso, F.J. & Roldán, J.B. & Krichigin, A.V. , 2021. "Stochastic resonance in a metal-oxide memristive device," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    6. Zao Zhang & Yuan Dong, 2020. "Temperature Forecasting via Convolutional Recurrent Neural Networks Based on Time-Series Data," Complexity, Hindawi, vol. 2020, pages 1-8, March.
    7. Qiu, T. & Zheng, B. & Ren, F. & Trimper, S., 2007. "Statistical properties of German Dax and Chinese indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 387-398.
    8. Qingchen Liu & Xinyi Li & Tao Liu & Xiaojun Zhao, 2020. "Spatio-Temporal Correlation Analysis of Air Quality in China: Evidence from Provincial Capitals Data," Sustainability, MDPI, vol. 12(6), pages 1-21, March.
    9. Vasiliki Plerou & Parameswaran Gopikrishnan & Bernd Rosenow & Luis A. Nunes Amaral & H. Eugene Stanley, 1999. "Universal and non-universal properties of cross-correlations in financial time series," Papers cond-mat/9902283, arXiv.org.
    10. Jean-Philippe Bouchaud & Andrew Matacz & Marc Potters, 2001. "The leverage effect in financial markets: retarded volatility and market panic," Science & Finance (CFM) working paper archive 0101120, Science & Finance, Capital Fund Management.
    11. F. Ren & B. Zheng & H. Lin & L. Y. Wen & S. Trimper, 2005. "Persistence Probabilities of the German DAX and Shanghai Index," Papers nlin/0511048, arXiv.org.
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