Long‐term climate variability in a simple, nonlinear atmospheric model

A nonlinear, baroclinic, hemispheric, low-order model of the atmosphere with nonzonal orographic and zonal thermal forcings has been constructed. The model is used to investigate the long-term climate variability by running it over 1100 years. The model runs show a chaotic behavior in a realistic parameter range. With and without a seasonal cycle in the thermal forcing, the model generates decadal climate variations which are of the same order as interannual variations. The maximum variability is found in a broad range of periods between 3 and 44 years. Empirical orthogonal function analysis reveals that these fluctuations are predominantly caused by the interaction between the orographically excited standing wave and the mean zonal flow. The computed power spectra of the principal component time series stress the importance of the high-frequency transients in long-term climate variability.

[1]  J. Egger Point Vortices In A Low-Order Model of Barotropic Flow On the Sphere , 1992 .

[2]  Edward N. Lorenz,et al.  Irregularity: a fundamental property of the atmosphere* , 1984 .

[3]  R. P. Pearce,et al.  On the concept of available potential energy , 1978 .

[4]  J. Yorke,et al.  Chaotic behavior of multidimensional difference equations , 1979 .

[5]  Michael Ghil,et al.  Climate evolution in the Pliocene and Pleistocene from marine‐sediment records and simulations: Internal variability versus orbital forcing , 1993 .

[6]  Roger A. Pielke,et al.  Long-term variability of climate , 1994 .

[7]  P. James,et al.  Spatial Structure of Ultra-Low-Frequency Variability of the Flow In A Simple Atmospheric Circulation Model , 1992 .

[8]  James A. Yorke,et al.  Numerical solution of a generalized eigenvalue problem for even mappings , 1979 .

[9]  I. Shimada,et al.  A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .

[10]  J. Dutton The global thermodynamics of atmospheric motion , 1973 .

[11]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[12]  Edward N. Lorenz,et al.  Can chaos and intransitivity lead to interannual variability , 1990 .

[13]  J. Charney ON A PHYSICAL BASIS FOR NUMERICAL PREDICTION OF LARGE-SCALE MOTIONS IN THE ATMOSPHERE , 1949 .

[14]  P. Marquet,et al.  On the concept of exergy and available enthalpy: Application to atmospheric energetics , 1991, 1402.4610.

[15]  V. E. Wood Table errata: Handbook of mathematical functions with formulas, graphs, and mathematical tables (Nat. Bur. Standards, Washington, D.C., 1964) edited by M. Abramowitz and I. A. Stegun , 1969 .

[16]  H. Tennekes The General Circulation of Two-Dimensional Turbulent Flow on a Beta Plane , 1977 .

[17]  P. Mayewski,et al.  Greenland Ice Core Greenland Ice Core "Signal" Characteristics: An Expanded View of Climate Change , 1993 .

[18]  K. Haines Low-frequency variability in atmospheric middle latitudes , 1994 .

[19]  M. Loutre,et al.  Insolation and Earth's orbital periods , 1993 .