A Nonlinear Dynamical Perspective on Climate Prediction

Abstract A nonlinear dynamical perspective on climate prediction is outlined, based on a treatment of climate as the attractor of a nonlinear dynamical system D with distinct quasi-stationary regimes. The main application is toward anthropogenic climate change, considered as the response of D to a small-amplitude imposed forcing f. The primary features of this perspective can be summarized as follows. First, the response to f will be manifest primarily in terms of changes to the residence frequency associated with the quasi-stationary regimes. Second, the geographical structures of these regimes will be relatively insensitive to f. Third, the large-scale signal will be most strongly influenced by f in rather localized regions of space and time. In this perspective, the signal arising from f will be strongly dependent of D’s natural variability. A theoretical framework for the perspective is developed based on a singular vector decomposition of D’s tangent propagator. Evidence for the dyamical perspective ...

[1]  P. Webster,et al.  Monsoons: Processes, predictability, and the prospects for prediction , 1998 .

[2]  Eugenia Kalnay,et al.  Ensemble Forecasting at NMC: The Generation of Perturbations , 1993 .

[3]  Kevin E. Trenberth,et al.  The Definition of El Niño. , 1997 .

[4]  Franco Molteni,et al.  Predictability and finite‐time instability of the northern winter circulation , 1993 .

[5]  Philippe Courtier,et al.  Sensitivity of forecast errors to initial conditions , 1996 .

[6]  Gerrit Lohmann,et al.  Dynamics and predictability of Stommel’s box model. A phase-space perspective with implications for decadal climate variability , 1999 .

[7]  Brian F. Farrell,et al.  Generalized Stability Theory. Part II: Nonautonomous Operators , 1996 .

[8]  Louis J. Bajuk,et al.  Interpretation of Interdecadal Trends in Northern Hemisphere Surface Air Temperature , 1996 .

[9]  D. Gutzler,et al.  Interannual Variability of Wintertime Snow Cover across the Northern Hemisphere , 1992 .

[10]  Shigeo Yoden,et al.  A Relationship between Local Error Growth and Quasi-stationary States: Case Study in the Lorenz System , 1991 .

[11]  Prashant D. Sardeshmukh,et al.  The Optimal Growth of Tropical Sea Surface Temperature Anomalies , 1995 .

[12]  J. Angell,et al.  Variations and Trends in Tropospheric and Stratospheric Global Temperatures, 1958–87 , 1988 .

[13]  E. Rasmusson,et al.  The Southern Oscillation and El Niño , 1985 .

[14]  John M. Wallace,et al.  Is There Evidence of Multiple Equilibria in Planetary Wave Amplitude Statistics , 1994 .

[15]  Jan Barkmeijer,et al.  Perturbations that optimally trigger weather regimes , 1995 .

[16]  X. Cheng,et al.  Cluster Analysis of the Northern Hemisphere Wintertime 500-hPa Height Field: Spatial Patterns , 1993 .

[17]  Michael Ghil,et al.  Multiple flow regimes in the Northern Hemisphere winter. I - Methodology and hemispheric regimes. II - Sectorial regimes and preferred transitions , 1993 .

[18]  T. Palmer,et al.  Singular Vectors, Metrics, and Adaptive Observations. , 1998 .

[19]  Gilbert Strang,et al.  Introduction to applied mathematics , 1988 .

[20]  F. Molteni,et al.  A dynamical interpretation of the global response to Equatorial Pacific SST anomalies , 1993 .

[21]  Michael Ghil,et al.  Persistent Anomalies, Blocking and Variations in Atmospheric Predictability , 1985 .

[22]  Tim N. Palmer,et al.  Regimes in the wintertime circulation over northern extratropics. I: Observational evidence , 1990 .

[23]  J. Wallace,et al.  Teleconnections in the Geopotential Height Field during the Northern Hemisphere Winter , 1981 .

[24]  Roberto Buizza,et al.  The Singular-Vector Structure of the Atmospheric Global Circulation , 1995 .

[25]  Patterns of Interannual Variability in the Northern Hemisphere Wintertime 850 mb Temperature Field , 1988 .

[26]  J. Oerlemans An Objective Approach to Breaks in the Weather , 1978 .

[27]  H. Stommel,et al.  Thermohaline Convection with Two Stable Regimes of Flow , 1961 .

[28]  K. Fraedrich European grosswetter during the warm and cold extremes of the El Niñco/Southern Oscillation , 1990 .

[29]  J. Willebrand,et al.  Large-scale transport processes in oceans and atmosphere , 1986 .

[30]  James W. Hurrell,et al.  Decadal atmosphere-ocean variations in the Pacific , 1994 .

[31]  Leonard A. Smith The maintenance of uncertainty , 1997 .

[32]  T. Palmer,et al.  Sensitivity analysis of atmospheric low‐frequency variability , 1997 .

[33]  K. Trenberth,et al.  Satellite versus Surface Estimates of Air Temperature since 1979 , 1996 .

[34]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[35]  Mark A. Cane,et al.  A study of self-excited oscillations of the tropical ocean-atmosphere system , 1990 .

[36]  Keith Haines,et al.  Weather Regimes in the Pacific from a GCM , 1995 .

[37]  Gregory S. Duane,et al.  SYNCHRONIZED CHAOS IN EXTENDED SYSTEMS AND METEOROLOGICAL TELECONNECTIONS , 1997 .

[38]  J. Hurrell Influence of variations in extratropical wintertime teleconnections on northern hemisphere temperature , 1996 .

[39]  Michael Ghil,et al.  Large-Scale Weather Regimes and Local Climate over the Western United States , 1999 .

[40]  Tim N. Palmer,et al.  Decaying Singular Vectors and Their Impact on Analysis and Forecast Correction , 1998 .

[41]  S. Yamane,et al.  Predictability variation and quasi-stationary states in simple non-linear systems , 1997 .

[42]  O. Morton THE STORM IN THE MACHINE , 1998 .

[43]  Franco Molteni,et al.  Toward a dynamical understanding of planetary-scale flow regimes. , 1993 .

[44]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[45]  Bin Wang,et al.  Stochastic Dynamics of El Nino-Southern Oscillation* , 1999 .

[46]  A. Hannachi Low-Frequency Variability in a GCM: Three-Dimensional Flow Regimes and Their Dynamics , 1997 .

[47]  C. Leith Climate Response and Fluctuation Dissipation , 1975 .

[48]  K. Mo,et al.  Cluster analysis of multiple planetary flow regimes , 1988 .

[49]  J. Hurrell Decadal Trends in the North Atlantic Oscillation: Regional Temperatures and Precipitation , 1995, Science.

[50]  Tim N. Palmer,et al.  A study of the predictability of tropical Pacific SST in a coupled atmosphere-ocean model using singular vector analysis : The role of the annual cycle and the ENSO cycle , 1997 .

[51]  Robert Vautard,et al.  Multiple Weather Regimes over the North Atlantic: Analysis of Precursors and Successors , 1990 .

[52]  M. Hoerling,et al.  Specification of regional sea surface temperatures in atmospheric general circulation model simulations , 1998 .

[53]  J. Oortwijn Predictability of the Onset of Blocking and Strong Zonal Flow Regimes , 1998 .

[54]  Decadal variability in North Atlantic Weather Regimes , 1998 .

[55]  Franco Molteni,et al.  Long‐term fluctuations in the statistical properties of low‐frequency variability: Dynamical origin and predictability , 1998 .

[56]  R. Pierrehumbert,et al.  Dynamics of Weather Regimes: Quasi-Stationary Waves and Blocking. , 1982 .

[57]  P. Imkeller,et al.  Stochastic climate models , 2001 .

[58]  Randall M. Dole,et al.  Persistent Anomalies of the Extratropical Northern Hemisphere Wintertime Circulation: Geographical Distribution and Regional Persistence Characteristics , 1983 .

[59]  J. Wallace Observed Climatic Variability: Spatial Structure , 1996 .

[60]  M. Ghil,et al.  Multiple Flow Regimes in the Northern Hemisphere Winter. Part I: Methodology and Hemispheric Regimes , 1993 .

[61]  A. Timmermann,et al.  Northern hemispheric interdecadal variability : A coupled air-sea mode , 1998 .

[62]  Alfonso Sutera,et al.  On the Probability Density Distribution of Planetary-Scale Atmospheric Wave Amplitude , 1986 .

[63]  Temperature above the surface layer , 1995 .