Abstract
This paper examines the non-linear kinetic energy interactions of the atmospheric ENSO and decadal oscillations over the Pacific. The calculations are based on a 54-year dataset of tropospheric winds from NCEP reanalysis. We verify that the decadal oscillations have two dominant modes, corresponding well to the pentadecadal and bidecadal modes reported in the literature. Energy interactions involving the range of decadal oscillations and the range of ENSO oscillations are considered in the context of kinetic energy exchanges in the frequency domain. We quantify the relative amplitudes and spatial structures of the quadratic and triplet terms of the kinetic energy exchanges over the Pacific and conclude that quadratic interactions with the mean flow are the dominant term in the kinetic-to-kinetic energy exchanges. Additionally, we show that triplet interactions provide a non-trivial contribution to the total. The interactions between the range of decadal oscillations and the range of ENSO oscillations are found to be the strongest near the regions of maximum oscillation amplitude and of the maximum oscillation amplitude gradient. Due to their similar spatial structures, the two dominant ENSO modes and the bidecadal mode are found to interact in a resonant way. The interactions among the range of ENSO modes and the range of decadal modes are found to strengthen the ENSO modes in the equatorial, subtropical and midlatitude belts, and to weaken the decadal modes in all but the equatorial belt.
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References
An S-I (2008) A mechanism for the multidecadal oscillation in the North Pacific. Theor Appl Climatol 91:77–84
An S-I, Kug J-S, Timmermann A, Kang I-S, Timm O (2007) The influence of ENSO on the generation of decadal variability in the North Pacific. J Clim 20:667–680
Barnett TP, Pierce DW, Latif M, Dommenget D, Saravanan R (1999) Interdecadal interactions between the tropics and midlatitudes in the Pacific basin. Geophys Res Lett 26:615–618
Chakraborty DR, Agarwal NK (1997) Frequency distribution of tropospheric triad energy interactions during summer monsoon 1988. Pure Appl Geophys 149:761–774
Chao Y, Ghil M, McWilliams JC (2000) Pacific interdecadal variability in this century’s sea surface temperatures. Geophys Res Lett 27:2261–2264
Chhak KC, DiLorenzo E, Schneider N, Cummins P (2009) Forcing of low-frequency ocean variability in the Northeast Pacific. J Clim 22:1255–1276
Frankignoul C, Muller P, Zorita E (1997) A simple model of the decadal response of the ocean to stochastic wind forcing. J Phys Ocanogr 27:1533–1546
Garreaud R, Battisti D (1999) Interannual (ENSO) and interdecadal (ENSO-like) variability in the Southern Hemisphere tropospheric circulation. J Clim 12:2113–2123
Hayashi Y (1980) Estimation of non-linear energy-transfer spectra by the cross-spectral method. J Atmos Sci 37:299–307
Kleeman R, McCreary JP Jr, Klinger BA (1999) A mechanism for generating ENSO decadal variability. Geophys Res Lett 26:1743–1746
Krishnamurti TN, Chakraborty DR (2005) The dynamics of phase locking. J Atmos Sci 62:2952–2964
Krishnamurti TN, Sinha MC, Misra V, Sharma OP (1998) Tropical/middle latitude interaction viewed via wave energy flux in frequency Domain. Dyn Atmos Oceans 27:383–412
Krishnamurti TN, Chakraborty DR, Cubukcu N, Stefanova L, Vijaya Kumar TSV (2003) A mechanism of the Madden-Julian Oscillation based on interactions in the frequency domain. Q J R Meteor Soc 129:2559–2590
Latif M, Barnett TP (1994) Causes of decadal climate variability over the North Pacific and North America. Science 266:634–637
Levitius S, Antonov JI, Boyer TP, Stephens C (2000) Warming of the world ocean. Science 287:2225–2229
Linsley BK, Wellington GM, Schrag DP (2000) Decadal sea surface temperature variability in the Subtropical South Pacific from 1726 to 1997 A. D. Science 290:1145–1146
Lorenz E (1955) Available potential energy and the maintenance of the general circulation. Tellus 7:157–167
Mantua NJ, Hare SR, Zhang Y, Wallace JM, Francis RC (1997) A Pacific interdecadal climate oscillation with impacts on salmon production. Bull Am Meteorol Soc 76:1069–1079
Minobe S (1997) 50–70 year oscillation over North Pacific and North America. Geophys Res Lett 24:683–686
Minobe S (1999) Resonance in bidecadal and pentadecadal climate oscillations over the North Pacific: role in climate regime shifts. Geophys Res Lett 26:855–858
Newman M, Compo GP, Alexander MA (2003) ENSO-forced variability of the Pacific decadal oscillation. J Clim 16:3853–3857
Rodgers KB, Friederichs P, Latif M (2004) Tropical Pacific Decadal variability and its relation to decadal modulation of ENSO. J Clim 19:3761–3774
Saltzman B (1957) Equations governing the energetics of the larger scales of atmospheric turbulence in the domain of wave number. J. Meteor 14:513–523
Schneider N, Cornuelle BD (2005) The forcing of the Pacific Decadal Oscillaion. J Clim 18:4355–4373
Sheng J, Derome J (1991) An observational study of the energy transfer between the seasonal mean flow and the transient eddies. Tellus 43A:128–144
Sheng J, Hayashi Y (1990a) Observed and simulated energy cycles in the frequency domain. J Atmos Sci 47:1243–1254
Sheng J, Hayashi Y (1990b) Estimation of atmospheric energetics in the frequency domain in the FGGE year. J Atmos Sci 47:1255–1268
Strong C, Magnusdottir G (2009) The role of tropospheric Rossby wave breaking in the Pacific Decadal Oscillation. J Clim 22:1819–1833
Wu L, Liu Z, Gallimore R, Jacob R, Lee D, Zhong Y (2003) Pacific decadal variability: the tropical Pacific mode and the North Pacific mode. J Clim 16:1101–1120
Zhang Y, Wallace JM, Battisti DS (1997) ENSO-like interdecadal variability: 1900–93. J Clim 10:1004–1020
Acknowledgments
Funding for this research was provided by NSF Grants ATM-0419618, ATM-0241517 and NOAA Grant NA16GP1365. Additional funding for this work was provided by DOE and the USDA. The authors would like to thank three anonymous reviewers for their thoughtful comments and suggestions that helped improve this manuscript.
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Stefanova, L., Krishnamurti, T.N. Kinetic energy exchanges between the time scales of ENSO and the Pacific decadal oscillation. Meteorol Atmos Phys 114, 95 (2011). https://doi.org/10.1007/s00703-011-0162-8
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DOI: https://doi.org/10.1007/s00703-011-0162-8