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The prediction of non-stationary climate series based on empirical mode decomposition

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Abstract

This paper proposes a new approach which we refer to as “segregated prediction” to predict climate time series which are nonstationary. This approach is based on the empirical mode decomposition method (EMD), which can decompose a time signal into a finite and usually small number of basic oscillatory components. To test the capabilities of this approach, some prediction experiments are carried out for several climate time series. The experimental results show that this approach can decompose the nonstationarity of the climate time series and segregate nonlinear interactions between the different mode components, which thereby is able to improve prediction accuracy of these original climate time series.

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References

  • Casdagli, M. C., 1997: Recurrence plots revisited. Physica D, 108, 12–44.

    Article  Google Scholar 

  • Coughlin, K. T., and K. K. Tung, 2004: 11-year solar cycle in the stratosphere extracted by the empirical mode decomposition method. Adv. Space Res., 34, 323–329.

    Article  Google Scholar 

  • Eckmann, J. P., S. O. Kamphorst, and D. Ruelle, 1987: Recurrence plots of dynamical systems. Europhys Letter, 4, 973–977.

    Article  Google Scholar 

  • Grassberger, P., and I. Procaccia, 1983: Measuring the strangeness of strange attractors. Physica D, 9, 189–208.

    Article  Google Scholar 

  • Grassberger, P., and I. Procaccia, 1984: Dimensions and the entropies of the strange attractors from a fluctuating dynamics approach. Physica D, 13, 34–54.

    Article  Google Scholar 

  • Hegger, R., H. Kantz, L. Matassini, and T. Schreiber, 2000: Coping with nonstationarity by overembedding. Phys. Rev. Lett., 84, 4092–4095.

    Article  Google Scholar 

  • Huang, N. E., and Coauthors, 1998: The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis. Proc. Roy. Soc. Londen (A), 454, 903–995.

    Article  Google Scholar 

  • Rilling, G., P. Flandlin, and P. Goncalves, 2003: On empirical mode decomposition and its algorithms. IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing NSIP-03, Grado (I), 5pp.

  • Takens, F., 1981: Detecting Strange Attractors in Turbulence, Lecture Notes in Mathematics. Vol. 898, D. Rand and L.-S Young, Eds., Springer, 366–381.

  • Trenberth, K. E., 1990: Recent observed interdecadal climate changes in the northern hemisphere. Bull. Aerm. Meteor. Soc., 7, 988–993.

    Article  Google Scholar 

  • Tsonis, A. A., 1996: Widespread increases in low-frequency variability of precipitation over the past century. Nature, 382, 700–702.

    Article  Google Scholar 

  • Wan, S., G. Feng, G. Zhou, B. Wan, M. Qin, and X. Xu, 2005: Extracting useful information from the observations for the prediction based on EMD method. Acta Meteorologica Sinica, 63, 516–525.

    Google Scholar 

  • Wang, G. and P. Yang, 2005: A compound reconstructed prediction model for nonstationary climate process. International Journal of Climatology, 25, 1265–1277.

    Article  Google Scholar 

  • Yang, P., 1991: On the Chaotic Behavior and Predictability of the Real Atmosphere. Adv. Atmos. Sci., 8, 407–420.

    Article  Google Scholar 

  • Yang, P., and X. Zhou, 2005: On nonstationary behaviors and prediction theory of climate systems. Acta Meteorologica Sinica, 63, 556–570. (in Chinese)

    Google Scholar 

  • Yang, P., J. Bian, G. Wang, and X. Zhou, 2003: Hierarchies and nonstationarity in climate systems. Chinese Science Bulletin, 48, 2148–2154.

    Article  Google Scholar 

  • Yu, D., W. Lu, and R. Harrison, 1998: Space time-index plots for probing dynamical nonstationarity. Phys. Lett. (A), 250, 323–327.

    Article  Google Scholar 

  • Zeng, X., R. A. Pielke, and R. Eykholt, 1992: Estimating the fractal dimension and the predictability of the atmosphere. J. Atmos. Sci., 49, 649–659.

    Article  Google Scholar 

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Correspondence to Peicai Yang  (杨培才).

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Yang, P., Wang, G., Bian, J. et al. The prediction of non-stationary climate series based on empirical mode decomposition. Adv. Atmos. Sci. 27, 845–854 (2010). https://doi.org/10.1007/s00376-009-9128-x

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  • DOI: https://doi.org/10.1007/s00376-009-9128-x

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