Reduced models of atmospheric low-frequency variability: Parameter estimation and comparative performance

[1]  Michael Ghil,et al.  Climate dynamics and fluid mechanics: Natural variability and related uncertainties , 2008, 1006.2864.

[2]  S. Kravtsov.  2 Empirical model reduction and the modelling hierarchy in climate dynamics and the geosciences , 2009 .

[3]  Frank Kwasniok,et al.  Reduced Atmospheric Models Using Dynamically Motivated Basis Functions , 2007 .

[4]  V. Araújo.  Random Dynamical Systems , 2006, math/0608162.

[5]  Michael Ghil,et al.  Empirical mode reduction in a model of extratropical low-frequency variability , 2006 .

[6]  Michael Ghil,et al.  Multiple Regimes and Low-Frequency Oscillations in the Northern Hemisphere’s Zonal-Mean Flow , 2006 .

[7]  Andrew J. Majda,et al.  Low-Order Stochastic Mode Reduction for a Prototype Atmospheric GCM , 2006 .

[8]  Michael Ghil,et al.  Multilevel Regression Modeling of Nonlinear Processes: Derivation and Applications to Climatic Variability , 2005 .

[9]  Michael Ghil,et al.  A Hierarchy of Data-Based ENSO Models , 2005 .

[10]  Andrew J. Majda,et al.  Low-Order Stochastic Mode Reduction for a Realistic Barotropic Model Climate , 2005 .

[11]  Andrew J. Majda,et al.  Low-dimensional chaotic dynamics versus intrinsic stochastic noise: a paradigm model , 2004 .

[12]  Andrew J. Majda,et al.  Strategies for Model Reduction: Comparing Different Optimal Bases , 2004 .

[13]  Frank Kwasniok,et al.  Empirical Low-Order Models of Barotropic Flow , 2004 .

[14]  Andrew J. Majda,et al.  Systematic Strategies for Stochastic Mode Reduction in Climate , 2003 .

[15]  D. Hartmann,et al.  Eddy–Zonal Flow Feedback in the Northern Hemisphere Winter , 2003 .

[16]  Michael Ghil,et al.  Weather Regimes and Preferred Transition Paths in a Three-Level Quasigeostrophic Model. , 2003 .

[17]  Michael Ghil,et al.  Data Assimilation for a Coupled Ocean–Atmosphere Model. Part II: Parameter Estimation , 2008 .

[18]  M. Ghil,et al.  Multiple regimes and low‐frequency oscillations in the Southern Hemisphere's zonal‐mean flow , 2002 .

[19]  Andrew J. Majda,et al.  A priori tests of a stochastic mode reduction strategy , 2002 .

[20]  Michael Ghil,et al.  Data Assimilation for a Coupled Ocean–Atmosphere Model. Part I: Sequential State Estimation , 2002 .

[21]  Extratropical low‐frequency variability as a low‐dimensional problem. II: Stationarity and stability of large‐scale equilibria , 2002 .

[22]  Michael Ghil,et al.  “Waves” vs. “particles” in the atmosphere's phase space: A pathway to long-range forecasting? , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Michael Ghil,et al.  ADVANCED SPECTRAL METHODS FOR CLIMATIC TIME SERIES , 2002 .

[24]  A. Majdaa,et al.  A priori tests of a stochastic mode reduction strategy , 2002 .

[25]  A. Robertson.  Influence of Ocean–Atmosphere Interaction on the Arctic Oscillation in Two General Circulation Models , 2001 .

[26]  Andrew J. Majda,et al.  A mathematical framework for stochastic climate models , 2001 .

[27]  T. DelSole.  Optimally Persistent Patterns in Time-Varying Fields , 2001 .

[28]  A. O'Neill,et al.  Atmospheric multiple equilibria and non‐Gaussian behaviour in model simulations , 2001 .

[29]  Fabio D'Andrea,et al.  Extratropical low-frequency variability as a low-dimensional problem , 2001 .

[30]  Christopher R. Winkler,et al.  A Linear Model of Wintertime Low-Frequency Variability. Part I: Formulation and Forecast Skill , 2001 .

[31]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[32]  J. Wallace.  The climatological mean stationary waves: observational evidence , 2001 .

[33]  Michael Ghil,et al.  Solving problems with GCMs: General circulation models and their role in the climate modeling hierarchy , 2000 .

[34]  M. Ehrendorfer.  The Total Energy Norm in a Quasigeostrophic Model , 2000 .

[35]  M. Latif,et al.  Second Revision , 1999 .

[36]  John M. Wallace,et al.  North atlantic oscillatiodannular mode: Two paradigms—one phenomenon , 2000 .

[37]  C. Deser.  On the teleconnectivity of the “Arctic Oscillation” , 2000 .

[38]  W. Robinson.  A Baroclinic Mechanism for the Eddy Feedback on the Zonal Index , 2000 .

[39]  E. Sarachik,et al.  Empirically Derived Markov Models and Prediction of Tropical Pacific Sea Surface Temperature Anomalies , 2000 .

[40]  Vanden Eijnden E,et al.  Models for stochastic climate prediction. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[41]  Padhraic Smyth,et al.  Multiple Regimes in Northern Hemisphere Height Fields via MixtureModel Clustering* , 1999, Journal of the Atmospheric Sciences.

[42]  Ulrich Achatz,et al.  A Two-Layer Model with Empirical Linear Corrections and Reduced Order for Studies of Internal Climate Variability , 1999 .

[43]  Masahide Kimoto,et al.  Weather Regimes, Low-Frequency Oscillations, and Principal Patterns of Variability: A Perspective of Extratropical Low-Frequency Variability , 1999 .

[44]  Cécile Penland,et al.  Prediction of Tropical Atlantic Sea Surface Temperatures Using Linear Inverse Modeling , 1998 .

[45]  Michael Ghil,et al.  Extended Kalman filtering for vortex systems. Part II: Rankine vortices and observing-system design , 1998 .

[46]  Michael Ghil,et al.  Extended Kalman filtering for vortex systems. Part 1: Methodology and point vortices , 1998 .

[47]  Frank M. Selten,et al.  Baroclinic empirical orthogonal functions as basis functions in an atmospheric model , 1997 .

[48]  Eduardo Damasio Da Costa,et al.  A Qualitatively Realistic Low-Order Model of the Extratropical Low-Frequency Variability Built from Long Records of Potential Vorticity. , 1997 .

[49]  Michael Ghil,et al.  Advances in Sequential Estimation for Atmospheric and Oceanic Flows , 1997 .

[50]  Cécile Penland,et al.  A stochastic model of IndoPacific sea surface temperature anomalies , 1996 .

[51]  Frank Kwasniok,et al.  The reduction of complex dynamical systems using principal interaction patterns , 1996 .

[52]  Jonathan M. Lees,et al.  Robust estimation of background noise and signal detection in climatic time series , 1996 .

[53]  P. Malanotte‐Rizzoli.  Modern approaches to data assimilation in ocean modeling , 1996 .

[54]  W. Thacker,et al.  Combining data and a global primitive equation ocean general circulation model using the adjoint method , 1996 .

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

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

[57]  Brian F. Farrell,et al.  Stochastic dynamics of the midlatitude atmospheric jet , 1995 .

[58]  M. Cai,et al.  Interaction between the low‐ and high‐frequency transients in the Southern Hemisphere winter circulation , 1995 .

[59]  Frank M. Selten,et al.  An Efficient Description of the Dynamics of Barotropic Flow , 1995 .

[60]  G. Branstator.  Organization of Storm Track Anomalies by Recurring Low-Frequency Circulation Anomalies , 1995 .

[61]  Michael Ghil,et al.  Software expedites singular‐spectrum analysis of noisy time series , 1995, Eos, Transactions American Geophysical Union.

[62]  M. Mundt,et al.  Secondary instability, EOF reduction, and the transition to baroclinic chaos , 1994 .

[63]  W. Metz.  Singular Modes and Low-Frequency Atmospheric Variability , 1994 .

[64]  Michael Ghil,et al.  Advanced data assimilation in strongly nonlinear dynamical systems , 1994 .

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

[66]  Michael Ghil,et al.  Extended Kalman Filtering for Vortex Systems: An Example of Observing-System Design , 1994 .

[67]  P. Ioannou,et al.  Stochastic forcing of the linearized Navier–Stokes equations , 1993 .

[68]  D. Hartmann,et al.  Zonal Flow Vacillation and Eddy Forcing in a Simple GCM of the Atmosphere. , 1993 .

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

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

[71]  Michael Ghil,et al.  Forecasting Northern Hemisphere 700-mb Geopotential Height Anomalies Using Empirical Normal Modes , 1993 .

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

[73]  Michael Ghil,et al.  ADAPTIVE FILTERING AND PREDICTION OF NOISY MULTIVARIATE SIGNALS: AN APPLICATION TO SUBANNUAL VARIABILITY IN ATMOSPHERIC ANGULAR MOMENTUM , 1993 .

[74]  Grant Branstator,et al.  The Maintenance of Low-Frequency Atmospheric Anomalies , 1992 .

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

[76]  Michael Ghil,et al.  Intraseasonal oscillations in the global atmosphere. I - Northern Hemisphere and tropics , 1991 .

[77]  Michael Ghil,et al.  Intraseasonal Oscillations in the Global Atmosphere. Part II: Southern Hemisphere. , 1991 .

[78]  M. Ghil,et al.  Data assimilation in meteorology and oceanography , 1991 .

[79]  A. Robertson,et al.  Transient-Eddy Feedbacks Derived from Linear Theory and Observations , 1990 .

[80]  P. Courtier,et al.  Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations , 1990 .

[81]  D. Thomson.  Quadratic-inverse spectrum estimates: applications to palaeoclimatology , 1990, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[82]  Michael Ghil,et al.  Multiple Flow Regimes in the Northern Hemisphere Winter. Part II: Sectorial Regimes and Preferred Transitions , 1993 .

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

[84]  Cécile Penland,et al.  Random Forcing and Forecasting Using Principal Oscillation Pattern Analysis , 1989 .

[85]  A. Robertson,et al.  Three-Dimensional Linear Instability of Persistent Anomalous Large-Scale Flows. , 1989 .

[86]  Robert N. Miller,et al.  A Kalman Filter Analysis of Sea Level Height in the Tropical Pacific , 1989 .

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

[88]  R. Preisendorfer,et al.  Principal Component Analysis in Meteorology and Oceanography , 1988 .

[89]  K. Hasselmann.  PIPs and POPs: The reduction of complex dynamical systems using principal interaction and oscillation patterns , 1988 .

[90]  Y. Kushnir,et al.  Retrograding Wintertime Low-Frequency Disturbances over the North Pacific Ocean , 1987 .

[91]  Grant Branstator,et al.  A Striking Example of the Atmosphere's Leading Traveling Pattern , 1987 .

[92]  Michael Ghil,et al.  Statistics and Dynamics of Persistent Anomalies , 1987 .

[93]  L. Sirovich,et al.  Coherent structures and chaos: A model problem , 1987 .

[94]  M. Ghil.  Dynamics, Statistics and Predictability of Planetary Flow Regimes , 1987 .

[95]  S. Childress,et al.  Topics in geophysical fluid dynamics. Atmospheric dynamics, dynamo theory, and climate dynamics. , 1987 .

[96]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[97]  A. F. Smith,et al.  Statistical analysis of finite mixture distributions , 1986 .

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

[99]  Klaus Fraedrich,et al.  Estimating the Dimensions of Weather and Climate Attractors , 1986 .

[100]  Michael Ghil,et al.  An efficient algorithm for estimating noise covariances in distributed systems , 1985 .

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

[102]  Siegfried D. Schubert.  A Statistical-Dynamical Study of Empirically Determined Modes of Atmospheric Variability , 1985 .

[103]  L. Illari.  A Diagnostic Study of the Potential Vorticity in a Warm Blocking Anticyclone , 1984 .

[104]  G. Shutts.  The propagation of eddies in diffluent jetstreams: Eddy vorticity forcing of ‘blocking’ flow fields , 1983 .

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

[106]  R. P. Pearce,et al.  Large-Scale Dynamical Processes in the Atmosphere , 1983 .

[107]  C. Gardiner.  Handbook of Stochastic Methods , 1983 .

[108]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

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

[110]  D. Rand.  Dynamical Systems and Turbulence , 1982 .

[111]  S. Cohn,et al.  Applications of Estimation Theory to Numerical Weather Prediction , 1981 .

[112]  Michael Ghil,et al.  Dynamic Meteorology: Data Assimilation Methods , 1981 .

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

[114]  R. Mañé,et al.  On the dimension of the compact invariant sets of certain non-linear maps , 1981 .

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

[116]  J. Rinne,et al.  A spectral barotropic model in horizontal empirical orthogonal functions , 1975 .

[117]  P. Bélanger.  Estimation of noise covariance matrices for a linear time-varying stochastic process , 1972, Autom..

[118]  Thomas G. Kurtz,et al.  A limit theorem for perturbed operator semigroups with applications to random evolutions , 1973 .

[119]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[120]  Y. Sasaki.  SOME BASIC FORMALISMS IN NUMERICAL VARIATIONAL ANALYSIS , 1970 .

[121]  Harald Bergstriim.  Mathematical Theory of Probability and Statistics , 1966 .

[122]  J. B. McLeod,et al.  Applications of Functional Analysis in Mathematical Physics , 1964, The Mathematical Gazette.

[123]  R. Khas'minskii,et al.  Principle of Averaging for Parabolic and Elliptic Differential Equations and for Markov Processes with Small Diffusion , 1963 .

[124]  Hurd C. Willett,et al.  Thirty-day forecasting : a review of a ten-year experiment , 1953 .