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    Large-scale, free Rossby waves in the atmosphere—an update

    Author:

    Roland A. Madden

    National Center for Atmospheric Research, Boulder, CO 80307-3000, US
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    Abstract

    The existence of free, or normal mode Rossbywaves has been known for 50 yr. Studies have indicated that they can affect the large-scale flow in important ways; nevertheless there has been little written on them during the last decade. Here, evidence of their presence in a 40-yr record of NCEP/NCAR Reanalysis data is presented. It provides a starting point from which other published observations based on varying data sets are summarized. In addition, literature pointing to their possible effects is summarized. This update is submitted in the hopes that it will reinvigorate interest that can increase our understanding of variations in the large scales.

    How to Cite: Madden, R.A., 2007. Large-scale, free Rossby waves in the atmosphere—an update. Tellus A: Dynamic Meteorology and Oceanography, 59(5), pp.571–590. DOI: http://doi.org/10.1111/j.1600-0870.2007.00257.x
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      Published on 01 Jan 2007
    Peer Reviewed
     CC BY 4.0
     Accepted on 14 May 2007            Submitted on 19 Nov 2006

    References

    1. Ahlquist , J. 1982 . Normal-mode global Rossby waves: theory and observations. J. Atmos. Sc i . 39 , 193 – 202 .  

    2. Ahlquist , J. 1985 . Climatology of normal-mode Rossby waves. J. Atmos. Sc i . 42 , 2059 – 2068 .  

    3. Barnett , T. P. 1983 . Interaction of the monsoon and Pacific trade wind system at interannual time scales. Part I: the equatorial zone. Mon. Wea. Re v . 111 , 756 – 773 .  

    4. Branstator , G. 1987 . A striking example of the atmosphere’s leading traveling pattern. J. Atmos. Sc i . 44 , 2310 – 2323 .  

    5. Branstator , G. and Held , I. 1995 . Westward propagating normal modes in the presence of stationary background waves. J. Atmos. Sc i . 52 , 247 – 262 .  

    6. Branstator , G. and Fredricksen , J. 2003 . The seasonal cycle of interannual variability and the dynamical imprint of the seasonally varying mean state. J. Atmos. Sc i . 60 , 1577 – 1592 .  

    7. Burpee , R. W. 1976 . Some features of global-scale 4-5 day waves. J. Atmos. Sc i . 33 , 2292 – 2299 .  

    8. Charney , J. G. and Eliassen , A. 1949 . Anumerical method for predicting the perturbations of the middle latitude westerlies . Tellus 1 ( 2 ), 38 – 54 .  

    9. Cheong , H.-B. and Kimura , R. 1997 . Excitation of the 5-Day wave by Antarctica. J. Atmos. Sc i . 54 , 87 – 102 .  

    10. Cheong , R-B. and Kimura , R. 2001 . Excitation of the 10-Day and 16-Day waves. J. Atmos. Sc i . 58 , 1129 – 1145 .  

    11. Clark , J. H. E. 1972 . The vertical propagation of forced atmospheric planetary. J. Atmos. Sc i . 29 , 1430 – 1473 .  

    12. Cressman , G. P. 1958 . Barotropic divergence and very long atmospheric waves. Mon. Wea. Re v . 86 , 293 – 297 .  

    13. Daley , R. and Williamson , D. L. 1985 . The existence of free Rossby waves during January 1979. J. Atmos. Sc i . 42 , 2121 – 2141 .  

    14. Daley , R. , Tribbia , J. and Williamson , D. L. 1981 . The excitation of large-scale free Rossby waves in numerical weather prediction. Mon. Wea. Re v . 109 , 1836 – 1861 .  

    15. Da Silva , A. and Lindzen , R. S. 1987 . A mechanism for excitation of ultralong Rossby waves. J. Atmos. Sc i . 44 , 3625 – 3639 .  

    16. Deland , R. 1964 . Traveling planetary waves . Tellus 16 , 271 – 273 .  

    17. Diky , L. A. 1965 . The terrestrial atmosphere as an oscillating system . kv. Atmos. Ocean Phys . 1 , 275 – 286 .  

    18. Diky , L. A. and Golitsyn , G. S. 1968 . Calculation of the Rossby wave velocities in the Earth’s atmosphere . Tellus 20 , 314 – 317 .  

    19. Elbern , H. and Speth , P. 1993 . Energy of Rossby waves as part of global atmospheric oscillations . Tellus 45A , 168 – 192 .  

    20. Eliasen , E. and Machenhauer , B. 1965 . A study of the fluctuations of atmospheric planetary flow patterns represented by spherical harmonics . Tellus 17 , 220 – 238 .  

    21. Eliasen , E. and Machenhauer , B. 1969 . On the observed large-scale atmospheric wave motions . Tellus 21 , 149 – 165 .  

    22. Eubanks , T. M. , Steppe , J. A. , Dickey , J. O. , Rosen , R. D. and Salstein , D. A. 1988 . Causes of rapid motinons of the Earth’s pole . Nature 134 , 115 – 119 .  

    23. Farrell , B. 1988 . Optimal excitation of neutral Rossby waves . J. Atmos. Res . 45 , 163 – 172 .  

    24. Ferranti , L. , Klinker , E. , Hollingsworth , A. and Hoskins , B. J. 2002 . Diagnosing of systematic forecast errors dependent on flow pattern . Q. J. R. MeteoroL Soc . 128 , 1623 – 1640 .  

    25. Forbes , J. M. , Hagan , M. E. , Miyahara , S. , Vial , F. , Manson , A. H. and co-authors. 1995 . Quasi 16-Day oscillation in the mesosphere and lower thermosphere, J. Geophys. Res . 100 , 9149 - 9163 .  

    26. Garcia , R. R. and Geisler , J. E. 1981 . Stochasic forcing of small-amplitude oscillations in the stratosphere. J. Atmos. Sc i . 38 , 2187 – 2197 .  

    27. Garcia , R. R. and Salby , M. L. 1987 . Transient response to localized episodic heating in the tropics. Part II: farfield behavior. J. Atmos. Sc i . 44 , 499 – 530 .  

    28. Geisler , J. E. 1974 . A numerical model of the sudden stratospheric warming mechanism . J. Geophys. Res . 79 , 4989 – 4999 .  

    29. Geisler , J. E. and Dickinson , R. E. 1975 . External Rossby modes on a plane with with realistic vertical wind shear. J. Atmos. Sc i . 32 , 2082 – 2093 .  

    30. Hamilton , K. 1985 . A possible relationship between tropical ocean temperatures and the observed amplitude of the atmospheric (1,1) Rossby normal mode . J. Geophys. Res . 90 , 8071 – 8074 .  

    31. Hamilton , K. 1987 . General circulation model simulation of the structure and energetics of atmospheric normal modes . Tellus 39A , 435 – 459 .  

    32. Haurwitz , B. 1940 . The motion of atmospheric diturbances on the spherical earth . J. Mar Res . 3 , 254 – 267 .  

    33. Hayashi , Y. 1974 . Spectral analysis of tropical disturbances appearing in a GFDL general circulation model. J. Atmos. Sc i . 31 , 180 – 218 .  

    34. Hayashi , Y. 1981 . Space-time cross spectral analysis using the maximum entropy method . J. Meteor Soc. Japan , 54 , 620 – 624 .  

    35. Hayashi , Y. and Golder , D. G. 1983 . Transient planetary waves simulated by GFDL spectral general circulation models. Part I: effects of mountains. J. Atmos. Sc i . 40 , 941 – 950 .  

    36. Heckley , W. A. and Gill , A. E. 1984 . Some simple analytical solutions to the problem of forced equatorial long waves . Q. J. R. MeteoroL Soc . 110 , 203 – 217 .  

    37. Hirooka , T. 1986 . Influence of normal mode Rossby waves on the mean field: interference with quasistationary waves. J. Atmos. Sc i . 43 , 2088 – 2097 .  

    38. Hirooka , T. 2000 . Normal mode Rossby waves as revealed by UARS/ISAMS observations. J. Atmos. Sc i . 57 , 1277 – 1285 .  

    39. Hirooka , T. and Hirota , I. 1985 . Normal mode Rossby waves observed in the upper stratosphere. Part II: second antisymetric modes of zonal wave numbers 1 and 2. J. Atmos. Sc i . 42 , 536 – 548 .  

    40. Hirooka , T. and Hirota , I. 1989 . Further evidence of normal mode Rossby waves . Pure AppL Geophys . 130 , 277 – 289 .  

    41. Hirota , I. 1971 Excitation of planetary Rossby waves in the winter strato-sphere by periodic forcing . J. Meteor Soc. Japan 49 , 439 – 449 .  

    42. Hirota , I. and Hirooka , T. 1984 . Normal mode Rossby waves observed in the upper stratosphere. Part I: first symmetric modes of zonal wavenumber 1 and 2. J. Atmos. Sc i . 41 , 1253 – 1267 .  

    43. Hollingsworth , A. , Arpe , K. , Tiedtke , M. , Capaldo , M. and Savijärvi , H. 1980 . The performance of a medium-range forecast model in winter - impact of physical parameterizations. Mon. Wea. Re v . 108 , 1736 – 1773 .  

    44. Horel , J. D. 1984 . Complex principal component analysis: theory and examples . J. Clim. AppL Meteor 23 , 1660– 1673 .  

    45. Horinouchi , T. and Yoden , S. 1996 . Excitation of transient waves by localized episodic heating in the tropics and their propagation into the middle atmosphere . J. Meteor Soc. Japan 74 , 189 – 210 .  

    46. Hough , S. S. 1898 . On the application of harmonic analysis o the dynamical theory of tides, 11, on the general integration of Laplace’s dynamical equations . Phil. Trans. Roy. Soc. Lond., Ser. A 191 , 139 – 185 .  

    47. Jenkins , G. M. and Watts , D. G. 1968 . Spectra/Analysis and its Applications . Holden-Day , San Francisco , 525pp .  

    48. Julian , P. R. 1975 . Comments on the determination of significance levels of the coherence statistic. J. Atmos. Sc i . 32 , 836 – 837 .  

    49. Kalnay , E. and co-authors 1996 . The NCEP/NCAR 40-year Reanalysis Project. Bull. Amer Meteor Soc . 77 , 437 - 471 .  

    50. Kasahara , A. 1976 . Normal modes of ultralong waves in the atmosphere. Mon. Wea. Re v . 104 , 669 – 690 .  

    51. Kasahara , A. 1980 . Effect of zonal flows on the free oscillations of a barotropic atmosphere. J. Atmos. Sc i . 37 , 917 – 929 .  

    52. Kubota , S. and Iida , M. 1954 . Statistical characteristics of atmospheric disturbances . Pap. MeteoroL Geophys . 5 , 22 – 34 .  

    53. Kushnir , Y. 1987 . Retrograding winter time low-frequency disturbance over the North Pacific Ocean. J. Atmos. Sc i . 44 , 2727 – 2742 .  

    54. Lamb , H. H. 1932 . Hydrodynamics, Dove,; NY , 738 pp .  

    55. Lambert , S. J. and Merilees , P. E. 1978 . A study of planetary wave errors in a spectral numerical prediction model . Atmos. Oceans 16 , 197 – 211 .  

    56. Lejenäs , H. and Döös , B. R. 1987 . The behavior of the stationary and traveling planetary-scale waves during blocking-a northern hemisphere data study . J. Meteor Soc. Japan 65 , 709 – 725 .  

    57. Lejenäs , H. and Madden , R. A. 1992 . Traveling planetary-scale waves and blocking. Mon. Wea. Re v . 120 , 2821 – 2830 .  

    58. Lejenäs , H. and Madden , R. A. 2000 . Mountain torques caused by normal-mode global Rossby waves, and the impact on atmospheric angular momentum. J. Atmos. Sc i . 57 , 1045 – 1051 .  

    59. Lindzen , R. S. 1967 . Planetary waves on 13 planes. Mon. Wea. Re v . 95 , 441 – 451 .  

    60. Lindzen , R. S. 1986 . Stationary planetary waves blocking, and interannual variability, in Advances in Geophysics 29 , 251 – 273 . Academic Press , London .  

    61. Lindzen , R. S. , Farrell , B. and Jacqmin , D. 1982 . Vacillations due to wave interference: applications to the atmosphere and to annulus experiments. J. Atmos. Sc i . 39 , 14 – 23 .  

    62. Lindzen , R. S. , Straus , D. M. and Katz , B. 1984 . An an observational study of large-scale atmospheric Rossby waves during FGGE. J. Atmos. Sc i . 41 , 1320 – 1335 .  

    63. Longuet-Higgins , M. S. 1968 . The eigenfunctions of Laplace’s tidal equations over a sphere . Phil. Trans. Roy. Soc. Lond., Ser A 262 , 511 – 607 .  

    64. Lorenz , E. N. 1969 . The predictability of flow which contains many scales of motion. J. Atmos. Sc i . 21 , 289 – 307 .  

    65. Madden , R. A. 1975 . Oscillations in the winter stratosphere. Part 2: the role of horizontal eddy heat transport and the interaction of transient and stationary planetary-scale waves. Mon. Wea. Re v . 103 , 717 – 729 .  

    66. Madden , R. A. 1978 . Further evidence of traveling planetary waves. J. Atmos. Sc i . 35 , 1605 – 1618 .  

    67. Madden , R. A. 1979 . Observations of large-scale traveling Rossby waves . Rev. Geophys. Space Phys . 17 , 1935 – 1949 .  

    68. Madden , R. A. 1983 . The effect of the interference of traveling and stationary waves on time variations of the large-scale circulation. J. Atmos. Sc i . 40 , 1110 – 1125 .  

    69. Madden , R. A. and Labitzke , K. 1981 . A free Rossby wave in the troposphere and stratosphere during January 1979 . J. Geophys. Res . 86 , 1247 – 1254 .  

    70. Madden , R. A. and Speth , P. 1995 . Estimates of the angular momentum, friction and mountain torques during 1987 – 1988 . J. Atmos. Sc i . 52 , 3681 – 3694 .  

    71. Manzini , E. and Hamilton , K. 1993 . Middle atmosphere traveling waves forced by latent and convective heating. J. Atmos. Sc i . 50 , 2180 – 2200 .  

    72. Margulis , M. 1893 . Luftbewegungen in einer rotierended spharoidschale. Sbet; Akad. Wiss. Wien 102 , 11 – 56 (in German) .  

    73. McIntyre , M. E. and Palmer , T. N. 1983 . Breaking planetary waves in the stratosphere . Nature 305 , 593 – 600  

    74. Miyoshi , Y. and Hirooka , T. 1999 . A numerical experiment of excitation of the 5-Day wave by a GCM. J. Atmos. Sc i . 56 , 1698 – 1707 .  

    75. Palmer , T. N. 1981 . Diagnostic study of a wavenumber-2 stratospheric sudden warming in a transformed Eulerian-mean formalism. J. Atmos. Sc i . 38 , 844 – 855  

    76. Platzman , G. 1968 . The Rossby wave . Q. J. R. Meteorl. Soc . 94 , 225 – 248 .  

    77. Ponte , R. M. 1997 . Nonequilibrium response of the global ocean to the 5-Day Rossby-Haurwitz wave in atmospheric surface pressure . J. Phys. Ocean . 27 , 2158 – 2168 .  

    78. Quiroz , R. 1987 . Traveling waves and regional transitions in blocking activity in the Northern Hemisphere. Mon. Wea. Re v . 115 , 919 – 935 .  

    79. Rossby , C.-G. 1949 . On the dispersion of planetary waves in a barotropic atmosphere . Tellus 1 , 54 – 58 .  

    80. Rossby , C.-G. , et al. 1939 . Relations between variations in the intensity of the zonal circulationof the atmosphere and the displacements of the semipermantent centers of action . J. Mar. Res . 2 , 38 – 55 .  

    81. Salby , M. L. 1981a . Rossby normal modes in nonuniform background configurations. Part I: simple nonuniformities. J. Atmos. Sc i . 38 , 1803 – 1826 .  

    82. Salby , M. L. 1981b . Rossby normal modes in nonuniform background configurations. Part II: equinox and solstice conditions. J. Atmos. Sc i . 38 , 1827 – 1840 .  

    83. Salby , M. L. 1981c . The 2-Day wave in the middle atmosphere: observations and theory . J. Geophys. Res . 86 , 9654 – 9660 .  

    84. Salby , M. L. 1984 . Survey of planetary-scale traveling waves: the theory and observations . Rev. Geophys. Space Phys . 22 , 209 – 236 .  

    85. Salby , M. L. and Garcia , R. R. 1987a . Vacillation induced by interference of stationary and traveling planetary waves. J. Atmos. Sc i . 44 , 2679 – 2711 .  

    86. Salby , M. L. and Garcia , R. R. 1987b . Transient response to localized episodic heating in the tropics. Part II: farfield behavior. J. Atmos. Sc i . 44 , 458 – 498 .  

    87. Smith , A. K. 1985 . Wave transience and wave-mean flow interaction caused by the interference of stationary and travaling waves. J. Atmos. Sc i . 42 , 529 – 535  

    88. Speth , P. and Madden , R. A. 1983 . Space-time spectral analyses of Northern Hemisphere geopotential heights. J. Atmos. Sc i . 40 , 1086 – 1100 .  

    89. Tsay , C.-Y. 1974 . Analysis of large-scale wave disturbances in the tropics simulated by an NCAR general circulation model. J. Atmos. Sc i . 31 , 330 – 339 .  

    90. Venne , D. E. 1989 . Normal-Mode Rossby waves observed in the wavenumber 1-5 geopotential fields of the stratosphere and troposphere. J. Atmos. Sc i . 46 , 1042 – 1056 .  

    91. Vincent , R. A. 1984 . MF/HF radar measurements of the dynamics of the mesopause region — a review . J. Atmos. Terr Phys . 46 , 961 – 974 .  

    92. von Storch , H. and Zwiers , F. W. 1999 . Statistical Analysis in Climate Research , Cambridge University Press , Cambridge , 484pp .  

    93. Wallace , J. M. and Dickinson , R. E. 1972 . Empirical orthogonal representation of time series in the frequency domain. Part I: theoretical considerations. J. App. Meteor . 11 , 887 - 892 .  

    94. Wallace , J. , Tibaldi , S. and Simmons , A. J. 1983 . Reduction of systematic forecast errors in the ECMWF model throughthe introduction of an envelope orography. Q. J. R. Meteorol. Soc . 109 , 683 - 917 .  

    95. Weber , R. O. and Madden , R. A. 1993 . Evidence of traveling external Rossby waves in the ECMWF analyses. J. Atmos. Sc i . 50 , 2994 – 3007 .  

    96. Wolff , P. M. 1958 . The error in numerical forecasts due to retrogression of the ultra-long waves. Mon. Wea. Re v . 86 , 245 – 250 .  

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