Empirical mode decomposition analysis of climate changes with special reference to rainfall data

We have used empirical mode decomposition (EMD) method, which is especially well fitted for analyzing time-series data representing nonstationary and nonlinear processes. This method could decompose any time-varying data into a finite set of functions called “intrinsic mode functions” (IMFs). The EMD analysis successively extracts the IMFs with the highest local temporal frequencies in a recursive way. The extracted IMFs represent a set of successive low-pass spatial filters based entirely on the properties exhibited by the data. The IMFs are mutually orthogonal and more effective in isolating physical processes of various time scales. The results showed that most of the IMFs have normal distribution. Therefore, the energy density distribution of IMF samples satisfies χ2-distribution which is statistically significant. This study suggested that the recent global warming along with decadal climate variability contributes not only to the more extreme warm events, but also to more frequent, long lasting drought and flood.

[1]  Gabriel Rilling,et al.  Empirical mode decomposition as a filter bank , 2004, IEEE Signal Processing Letters.

[2]  Lamont-Doherty Earth Observatory Anomalous ENSO Occurrences : An Alternate View * , 1997 .

[3]  Richard G. Baraniuk,et al.  Empirical Mode Decomposition Based Frequency Attributes , 1999 .

[4]  D. Menicucci,et al.  Deriving the respiratory sinus arrhythmia from the heartbeat time series using empirical mode decomposition , 2003, q-bio/0310002.

[5]  N. Huang,et al.  A study of the characteristics of white noise using the empirical mode decomposition method , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  Shuo Ma,et al.  Signatures of the Seismic Source in EMD-Based Characterization of the 1994 Northridge, California, Earthquake Recordings , 2003 .

[7]  G. Pegram,et al.  Empirical Mode Decomposition in 2-D space and time: a tool for space-time rainfall analysis and nowcasting , 2005 .

[8]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[9]  Norden E. Huang,et al.  Comparison of interannual intrinsic modes in hemispheric sea ice covers and other geophysical parameters , 2003, IEEE Trans. Geosci. Remote. Sens..

[10]  S. S. Shen,et al.  Applications of Hilbert–Huang transform to non‐stationary financial time series analysis , 2003 .

[11]  Murray C. Peel,et al.  Identification of oscillations in historical global streamflow data using empirical mode decomposition. , 2005 .

[12]  G. Pegram,et al.  High resolution space–time modelling of rainfall: the “String of Beads” model , 2001 .

[13]  Carl Wunsch,et al.  The Interpretation of Short Climate Records, with Comments on the North Atlantic and Southern Oscillations , 1999 .

[14]  K. Coughlin,et al.  Eleven-year solar cycle signal throughout the lower atmosphere , 2004 .

[15]  N. E. Huang,et al.  A statistically significant periodicity in the Homestake solar neutrino data. , 1997 .

[16]  D. E. Harrison,et al.  Darwin sea level pressure, 1876–1996: Evidence for climate change? , 1997 .

[17]  A. Fedorov,et al.  Is El Nino changing? , 2000, Science.

[18]  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.

[19]  Upmanu Lall,et al.  Anomalous ENSO Occurrences: An Alternate View* , 1997 .

[20]  Martin Cooke,et al.  Modelling auditory processing and organisation , 1993, Distinguished dissertations in computer science.

[21]  Jason J. Levit,et al.  Multiscale Statistical Properties of a High-Resolution Precipitation Forecast , 2001 .

[22]  Norden E. Huang,et al.  A note on analyzing nonlinear and nonstationary ocean wave data , 2003 .

[23]  I. Zawadzki,et al.  Predictability of Precipitation from Continental Radar Images. Part III: Operational Nowcasting Implementation (MAPLE) , 2004 .