Bimodal behavior in the zonal mean flow of a baroclinic β-channel model

Journal of the Atmospheric Sciences

Volumn 62, Issue 6, 2005, Pages 1746-1769

  Kravtsov, Sergey ^a   Robertson, A W ^a,b   Ghil, M ^a,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Earth Institute   (United States)

^c LABORATOIRE DE MÉTÉOROLOGIE DYNAMIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; MATHEMATICAL MODELS; PRINCIPAL COMPONENT ANALYSIS; SENSITIVITY ANALYSIS; TROPICS;

EMPIRICAL ORTHOGONAL FUNCTION; EXTRATROPICAL ATMOSPHERIC VARIABILITY; ZONAL MEAN FLOW;

CLIMATOLOGY;

CLIMATE; MODELING;

BAROCLINIC MODE; CLIMATE MODELING;

EID: 23744516493     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS3443.1     Document Type: Article

References (83)

1. Akahori, K., and S. Yoden, 1997: Zonal flow vacillation and bimodality of baroclinic eddy life cycles in a simple global circulation model. J. Atmos. Sci., 54, 2349-2361.
2. Branstator, G. W., 1992: The maintenance of low-frequency atmospheric anomalies. J. Atmos. Sci., 49, 1924-1945.
3. Branstator, G. W., 1995: Organization of storm track anomalies by recurring low-frequency circulation anomalies. J. Atmos. Sci., 52, 207-226.
4. Branstator, G. W., and J. D. Opsteegh, 1989: Free solutions of the barotropic vorticity equation. J. Atmos. Sci., 46, 1799-1814.
5. Brunet, G., 1994: Empirical normal-mode analysis of atmospheric data. J. Atmos. Sci., 51, 932-952.
6. Cai, M., and H. M. Van den Dool, 1994: Dynamical decomposition of low- and high-frequency tendencies. J. Atmos. Sci., 51, 2086-2100.
7. Chang, K.-I., M. Ghil, K. Ide, and C.-C. A. Lai, 2001: Transition to aperiodic variability in a wind-driven double-gyre circulation model. J. Phys. Oceanogr., 31, 1260-1286.
8. Charney, J. G., and J. G. DeVore, 1979: Multiple flow equilibria in the atmosphere and blocking. J. Atmos. Sci., 36, 1205-1216.
9. Corti, S., A. Giannini, S. Tibaldi, and F. Molteni, 1997: Patterns of low-frequency variability in a three-level quasi-geostrophic model. Climate Dyn., 13, 883-904.
10. Crommelin, D. T., 2002: Homoclinic dynamics: A scenario for atmospheric ultra-low-frequency variability. J. Atmos. Sci., 59, 1533-1549.
11. Crommelin, D. T., 2003: Regime transitions and heteroclinic connections in a barotropic atmosphere. J. Atmos. Sci., 60, 229-246.
12. Da Costa, E., and R. Vautard, 1997: A qualitative realistic low-order model of the extratropical low-frequency variability built from long records of potential vorticity. J. Atmos. Sci., 54, 1064-1084.
13. Deser, C., 2000: On the teleconnectivity of the "Arctic Oscillation." Geophys. Res. Lett., 27, 779-782.
14. Farrell, B. F., and P. J. Ioannou, 1993: Stochastic forcing of the linearized Navier-Stokes equations. Phys. Fluids A, 5, 2600-2609.
15. Farrell, B. F., and P. J. Ioannou, 1995: Stochastic dynamics of the midlatitude atmospheric jet. J. Atmos. Sci., 52, 1642-1656.
16. Feldstein, S. B., 2000: Is interannual zonal mean flow variability simply climate noise? J. Climate, 13, 2356-2362.
17. Feldstein, S. B., and S. Lee, 1996: Mechanisms of zonal index variability in an aquaplanet GCM. J. Atmos. Sci., 53, 3541-3555.
18. Feldstein, S. B., and S. Lee, 1998: Is the atmospheric zonal index driven by an eddy feedback? J. Atmos. Sci., 55, 3077-3086.
19. Gardiner, C., 1983: Handbook of Stochastic Methods. Springer-Verlag, 442 pp.
20. Ghil, M., and S. Childress, 1987: Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory and Climate Dynamics. Springer-Verlag, 485 pp.
21. Ghil, M., and A. W. Robertson, 2000: Solving problems with GCMs: General circulation models and their role in the climate modeling hierarchy. General Circulation Model Development: Past, Present and Future, D. Randall, Ed., Academic Press, 285-325.
22. Ghil, M., and A. W. Robertson, 2002: "Waves" vs. "particles" in the atmosphere's phase space: A pathway to long-range forecasting? Proc. Natl. Acad. Sci., 99 (Suppl. 1), 2493-2500.
23. Ghil, M., Y. Feliks, and L. U. Sushama, 2002: Baroclinic and barotropic aspects of the wind-driven ocean circulation. Physica D, 167, 1-35.
24. Gill, A., 1982: Atmosphere-Ocean Dynamics. Academic Press, 662 pp.
25. Greatbatch, R. J., 1987: A model for the inertial recirculation of a gyre. J. Mar. Res., 45, 601-634.
26. Greatbatch, R. J., 1988: On the scaling of the inertial subgyres. Dyn. Atmos. Oceans, 11, 265-285.
27. Guckenheimer, J., and P. Holmes, 2002: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 2d ed. Springer-Verlag, 475 pp.
28. Hartmann, D. L., 1995: A PV view of zonal flow vacillation. J. Atmos. Sci., 52, 2561-2576.
29. Hartmann, D. L., and F. Lo, 1998: Wave-driven zonal flow vacillation in the Southern Hemisphere. J. Atmos. Sci., 55, 1303-1315.
30. Hurrel, J. E., 1995: Decadal trends in the North Atlantic Oscillation: Regional temperatures and precipitation. Science, 269, 676-679.
31. Illari, L., 1984: A diagnostic study of the potential vorticity in a warm blocking anticyclone. J. Atmos. Sci., 41, 3518-3526.
32. Itoh, H., and M. Kimoto, 1999: Weather regimes, low-frequency oscillations, and principal patterns of variability: A perspective of extratropical low-frequency variability. J. Atmos. Sci., 56, 2684-2705.
33. James, I. N., and L. J. Gray, 1986: Concerning the effect of surface drag on the circulation of a baroclinic planetary atmosphere. Quart. J. Roy. Meteor. Soc., 112, 1231-1250.
34. Kidson, J. W., and I. G. Watterson, 1999: The structure and predictability of the "high-latitude mode" in the CSIRO9 general circulation model. J. Atmos. Sci., 56, 3859-3873.
35. Kimoto, M., and M. Ghil, 1993: Multiple flow regimes in the Northern Hemisphere winter. Part II: Sectorial regimes and preferred transitions. J. Atmos. Sci., 50, 2645-2673.
36. Kimoto, M., F.-F. Jin, M. Watanabe, and N. Yasutomi, 2001: Zonal-eddy coupling and a neutral mode theory for the Arctic Oscillation. Geophys. Res. Lett., 28, 737-740.
37. Kondrashov, D., K. Ide, and M. Ghil, 2004: Weather regimes and preferred transition paths in a three-level quasigeostrophic model. J. Atmos. Sci., 61, 568-587.
38. Koo, S., 2002: Nonlinear aspects of atmospheric zonal-flow vacillation. Ph.D. thesis, University of California, Los Angeles, 163 pp.
39. Koo, S., and M. Ghil, 2002: Successive bifurcations in a simple model of atmospheric zonal-flow vacillation. Chaos, 12, 300-309.
40. Koo, S., A. W. Robertson, and M. Ghil, 2003: Multiple regimes and low-frequency oscillations in the Southern Hemisphere's zonal-mean flow. J. Geophys. Res., 107, 4596, doi:10.1029/2001JD001353.
41. Kravtsov, S., and A. W. Robertson, 2002: Midlatitude ocean-atmosphere interaction in an idealized coupled model. Climate Dyn., 19, 693-711.
42. Kravtsov, S., A. W. Robertson, and M. Ghil, 2003: Low-frequency variability in a baroclinic β channel with land-sea contrast. J. Atmos. Sci., 60, 2267-2293.
43. Lee, S., and S. B. Feldstein, 1996: Mechanisms of zonal index evolution in a two-layer model. J. Atmos. Sci., 53, 2232-2246.
44. Legras, B., and M. Ghil, 1985: Persistent anomalies, blocking and variations in atmospheric predictability. J. Atmos. Sci., 42, 433-471.
45. Lorenz, D. J., and D. L. Hartmann, 2001: Eddy-zonal flow feedback in the Southern Hemisphere. J. Atmos. Sci., 58, 3312-3327.
46. Lorenz, D. J., and D. L. Hartmann, 2003: Eddy-zonal flow feedback in the Northern Hemisphere winter. J. Climate, 16, 1212-1227.
47. Lorenz, E. N., 1963: The mechanics of vacillation. J. Atmos. Sci., 20, 448-464.
48. Marshall, J., and F. Molteni, 1993: Toward a dynamical understanding of atmospheric weather regimes. J. Atmos. Sci., 50, 1792-1818.
49. Marshall, J., and D. W. K. So, 1990: Thermal equilibration of planetary waves. J. Atmos. Sci., 47, 963-978.
50. McWilliams, J. C., 1977: A note on a consistent quasi-geostrophic model in a multiply connected domain. Dyn. Atmos. Oceans, 1, 427-441.
51. Meacham, S. P., 2000: Low-frequency variability in the wind-driven circulation. J. Phys. Oceanogr., 30, 269-293.
52. Metz, W., 1994: Singular modes and low-frequency atmospheric variability. J. Atmos. Sci., 51, 1740-1753.
53. Nadiga, B. T., and B. P. Luce, 2001: Global bifurcation of Shilnikov type in a double-gyre ocean model. J. Phys. Oceanogr., 31, 2669-2690.
54. Namias, J., 1953: Thirty-Day Forecasting: A Review of a Ten-Year Experiment. Meteor. Monogr., No. 6, Amer. Meteor. Soc., 83 pp.
55. North, G. R., T. L. Bell, R. F. Cahalan, and F. J. Moeng, 1982: Sampling errors in the estimation of empirical orthogonal functions. Mon. Wea. Rev., 110, 699-706.
56. Oppenheim, A. V., and R. W. Schafer, 1989: Discrete-Time Signal Processing. Prentice Hall, 879 pp.
57. Pedlosky, J., 1981: Resonant topographic waves in barotropic and baroclinic flows. J. Atmos. Sci., 38, 2626-2641.
58. Pedlosky, J., 1987: Geophysical Fluid Dynamics. 2d ed. Springer-Verlag, 621 pp.
59. Preisendorfer, R. W., 1988: Principal Component Analysis in Meteorology and Oceanography. Elsevier, 425 pp.
60. Reinhold, B. B., and R. T. Pierrehumbert, 1982: Dynamics of weather regimes: Quasi-stationary waves and blocking. Mon. Wea. Rev., 110, 1105-1145.
61. Robertson, A. W., 2001: Influence of ocean-atmosphere interaction on the Arctic Oscillation in two general circulation models. J. Climate, 14, 3240-3254.
62. Robertson, A. W., and W. Metz, 1989: Three-dimensional instability of persistent anomalous large-scale flows. J. Atmos. Sci., 46, 2783-2801.
63. Robertson, A. W., and W. Metz, 1990: Transient eddy feedbacks derived from linear theory and observations. J. Atmos. Sci., 47, 2743-2764.
64. Robinson, W., 1991: The dynamics of low-frequency variability in a simple model of the global atmosphere. J. Atmos. Sci., 48, 429-441.
65. Robinson, W., 1996: Does eddy feedback sustain variability in the zonal index? J. Atmos. Sci., 53, 3556-3569.
66. Robinson, W., 2000: A baroclinic mechanism for the eddy feedback on the zonal index. J. Atmos. Sci., 57, 415-422.
67. Schuss, Z., 1980: Theory and Applications of Stochastic Differential Equations. Wiley, 321 pp.
68. Shilnikov, L. P., 1965: A case of the existence of a denumerable set of periodic motions. Sov. Math. Dokl., 6, 163-166.
69. Shutts, G. J., 1983: The propagation of eddies in diffluent jet streams: Eddy vorticity forcing of blocking flow fields. Quart. J. Roy. Meteor. Soc., 109, 737-761.
70. Simonnet, E., M. Ghil, K. Ide, R. Temam, and S. Wang, 2003a: Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part I: Steady-state solutions. J. Phys. Oceanogr., 33, 712-728.
71. Simonnet, E., M. Ghil, K. Ide, R. Temam, and S. Wang, 2003b: Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions. J. Phys. Oceanogr., 33, 729-752.
72. Swanson, K. L., 2000: Stationary wave accumulation and generation of low-frequency variability on zonally varying flows. J. Atmos. Sci., 57, 2262-2280.
73. Thompson, D. W. J., and J. M. Wallace, 2000: Annular modes in the extratropical circulation. Part I: Month-to-month variability. J. Climate, 13, 1000-1016.
74. Thompson, D. W. J., J. M. Wallace, and G. C. Hegerl, 2000: Annular modes in the extratropical circulation. Part II: Trends. J. Climate, 13, 1018-1036.
75. Thorncroft, C. D., B. J. Hoskins, and M. E. McIntyre, 1993: Two paradigms of baroclinic-wave life-cycle behavior. Quart. J. Roy. Meteor. Soc., 119, 17-55.
76. Vautard, R., B. Legras, and M. Deque, 1988: On the source of midlatitude low-frequency variability. Part I: A statistical approach to persistence. J. Atmos. Sci., 45, 2811-2843.
77. Vautard, R., P. Yiou, and M. Ghil, 1992: Singular-spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D, 58, 95-126.
78. Wallace, J. M., 1983: The climatological mean stationary waves: Observational evidence. Large-Scale Dynamical Processes in the Atmosphere. B. J. Hoskins and R. P. Pearce, Eds., Academic Press, 27-53.
79. Wallace, J. M., 2000: North Atlantic Oscillation/annular mode: Two paradigms-One phenomenon. Quart. J. Roy. Meteor. Soc., 126, 791-805.
80. Watanabe, M., and F.-F. Jin, 2003: A moist baroclinic model: Coupled dynamical-convective response to El Niño. J. Climate, 16, 1121-1139.
81. Weeks, E. R., Y. Tian, J. S. Urbach, K. Ide, H. L. Swinney, and M. Ghil, 1997: Transitions between blocked and zonal flows in a rotating annulus with topography. Science, 278, 1598-1601.
82. Weisheimer, A., M. V. Kurgansky, K. Dethloff, and D. R. Handorf, 2003: Extratropical low-frequency variability in a three-level quasi-geostrophic atmospheric model with different spectral resolution. J. Geophys. Res., 108, 4171, doi:10.1029/2001JD001282.
83. Yu. J.-Y., and D. L. Hartmann, 1993: Zonal flow vacillation and eddy forcing in a simple GCM of the atmosphere. J. Atmos. Sci., 50, 3244-3259.