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

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.

[1]  D. Ruelle,et al.  Recurrence Plots of Dynamical Systems , 1987 .

[2]  K. Coughlin,et al.  11-Year solar cycle in the stratosphere extracted by the empirical mode decomposition method , 2004 .

[3]  P. Grassberger,et al.  Dimensions and entropies of strange attractors from a fluctuating dynamics approach , 1984 .

[4]  On the chaotic behavior and predictability of the real atmosphere , 1991 .

[5]  A. Tsonis,et al.  Widespread increases in low-frequency variability of precipitation over the past century , 1996, Nature.

[6]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  Robert G. Harrison,et al.  Space time-index plots for probing dynamical nonstationarity , 1998 .

[8]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[9]  Schreiber,et al.  Coping with nonstationarity by overembedding , 2000, Physical review letters.

[10]  杨培才 On the Chaotic Behavior and Predictability of the Real Atmosphere , 1991 .

[11]  X. Zeng,et al.  Estimating the fractal dimension and the predictability of the atmosphere , 1992 .

[12]  Kevin E. Trenberth,et al.  Recent Observed Interdecadal Climate Changes in the Northern Hemisphere , 1990 .

[13]  F. Takens Detecting strange attractors in turbulence , 1981 .

[14]  M. Casdagli Recurrence plots revisited , 1997 .

[15]  Geli Wang,et al.  A compound reconstructed prediction model for nonstationary climate processes , 2005 .

[16]  Peicai Yang,et al.  Hierarchy and nonstationarity in climate systems: Exploring the prediction of complex systems , 2003 .

[17]  Gabriel Rilling,et al.  On empirical mode decomposition and its algorithms , 2003 .