Independent component analysis of multivariate time series: Application to the tropical SST variability

With the aim of identifying the physical causes of variability of a given dynamical system, the geophysical community has made an extensive use of classical component extraction techniques such as principal component analysis (PCA) or rotational techniques (RT). We introduce a recently developed algorithm based on information theory: independent component analysis (ICA). This new technique presents two major advantages over classical methods. First, it aims at extracting statistically independent components where classical techniques search for decorrelated components (i.e., a weaker constraint). Second, the linear hypothesis for the mixture of components is not required. In this paper, after having briefly summarized the essentials of classical techniques, we present the new method in the context of geophysical time series analysis. We then illustrate the ICA algorithm by applying it to the study of the variability of the tropical sea surface temperature (SST), with a particular emphasis on the analysis of the links between El Nino Southern Oscillation (ENSO) and Atlantic SST variability. The new algorithm appears to be particularly efficient in describing the complexity of the phenomena and their various sources of variability in space and time.

[1]  Filipe Aires,et al.  Blind source separation in the presence of weak sources , 2000, Neural Networks.

[2]  Axel Timmermann,et al.  Detecting the Nonstationary Response of ENSO to Greenhouse Warming , 1999 .

[3]  David B. Stephenson,et al.  The “normality” of El Niño , 1999 .

[4]  Ngar-Cheung Lau,et al.  Remote Sea Surface Temperature Variations during ENSO: Evidence for a Tropical Atmospheric Bridge , 1999 .

[5]  B. Eder,et al.  A climatology of total ozone mapping spectrometer data using rotated principal component analysis , 1999 .

[6]  kwang-yul kim,et al.  A Comparison Study of EOF Techniques: Analysis of Nonstationary Data with Periodic Statistics , 1999 .

[7]  J. Servain,et al.  Relationship between the equatorial and meridional modes of climatic variability in the tropical Atlantic , 1999 .

[8]  Peter J. Webster,et al.  The annual cycle of persistence in the El Nño/Southern Oscillation , 1998 .

[9]  J. Wallace,et al.  On the structure and evolution of ENSO‐related climate variability in the tropical Pacific: Lessons from TOGA , 1998 .

[10]  M. Ghil,et al.  Trends, interdecadal and interannual oscillations in global sea-surface temperatures , 1998 .

[11]  Shun-ichi Amari,et al.  Natural Gradient Works Efficiently in Learning , 1998, Neural Computation.

[12]  Gustavo Deco,et al.  Nonlinear independent component analysis and multivariate time series analysis , 1997 .

[13]  Néstor Parga,et al.  Redundancy Reduction and Independent Component Analysis: Conditions on Cumulants and Adaptive Approaches , 1997, Neural Computation.

[14]  X. Zhang,et al.  Low-frequency oscillations in the Northern Hemisphere , 1997 .

[15]  Initialization and Predictability of a Coupled ENSO Forecast Model , 1997 .

[16]  D. Enfield,et al.  Tropical Atlantic sea surface temperature variability and its relation to El Niño‐Southern Oscillation , 1997 .

[17]  R. Sadourny,et al.  Interannual Rainfall Variability in North-East Brazil: Observation and Model Simulation , 1996 .

[18]  Robert Vautard,et al.  Long-Range Atmospheric Predictability Using Space–Time Principal Components , 1996 .

[19]  Andrzej Cichocki,et al.  A New Learning Algorithm for Blind Signal Separation , 1995, NIPS.

[20]  P. Terray Space-Time Structure of Monsoon Interannual Variability , 1995 .

[21]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[22]  Nathalie Delfosse,et al.  Adaptive blind separation of independent sources: A deflation approach , 1995, Signal Process..

[23]  M. Ghil,et al.  Interannual and Interdecadal Variability in 335 Years of Central England Temperatures , 1995, Science.

[24]  P. Delecluse,et al.  On the connection between the 1984 Atlantic warm event and the 1982–1983 ENSO , 1994 .

[25]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[26]  Ryuichi Kawamura,et al.  A rotated EOF analysis of global sea surface temperature variability with interannual and interdecadal scales , 1994 .

[27]  G. Plaut,et al.  Spells of Low-Frequency Oscillations and Weather Regimes in the Northern Hemisphere. , 1994 .

[28]  J. Nadal,et al.  Nonlinear neurons in the low-noise limit: a factorial code maximizes information transfer Network 5 , 1994 .

[29]  Gilles Burel,et al.  Blind separation of sources: A nonlinear neural algorithm , 1992, Neural Networks.

[30]  R. Vautard,et al.  Singular-spectrum analysis: a toolkit for short, noisy chaotic signals , 1992 .

[31]  Christian Jutten,et al.  Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture , 1991, Signal Process..

[32]  T. P. Barnett,et al.  The Interaction of Multiple Time Scales in the Tropical Climate System , 1991 .

[33]  E. Rasmusson,et al.  The biennial component of ENSO variability , 1990 .

[34]  Jean-Francois Cardoso,et al.  Source separation using higher order moments , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[35]  R. Vautard,et al.  Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series , 1989 .

[36]  P. Jones,et al.  An Extension of the TahitiDarwin Southern Oscillation Index , 1987 .

[37]  A. Barnston,et al.  Classification, seasonality and persistence of low-frequency atmospheric circulation patterns , 1987 .

[38]  Richard E. Blahut,et al.  Principles and practice of information theory , 1987 .

[39]  G. P. King,et al.  Extracting qualitative dynamics from experimental data , 1986 .

[40]  M. Richman,et al.  Rotation of principal components , 1986 .

[41]  P. Chu Time and space variability of rainfall and surface circulation in the northeast Brazil-tropical Atlantic sector , 1984 .

[42]  David M. Legler,et al.  Empirical Orthogonal Function Analysis of Wind Vectors over the Tropical Pacific Region , 1983 .

[43]  E. Rasmusson,et al.  Variations in Tropical Sea Surface Temperature and Surface Wind Fields Associated with the Southern Oscillation/El Niño , 1982 .

[44]  John D. Horel,et al.  A Rotated Principal Component Analysis of the Interannual Variability of the Northern Hemisphere 500 mb Height Field , 1981 .

[45]  Michael B. Richman,et al.  Obliquely Rotated Principal Components: An Improved Meteorological Map Typing Technique? , 1981 .

[46]  J. Namias Influence of northern hemisphere general circulation on drought in northeast Brazil , 1972 .

[47]  D. F. Morrison,et al.  Multivariate Statistical Methods , 1968 .

[48]  E. Lorenz SEASONAL AND IRREGULAR VARIATIONS OF THE NORTHERN HEMISPHERE SEA-LEVEL PRESSURE PROFILE , 1951 .