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Research Article

A simple theory for the modulation of tropical instability waves by ENSO and the annual cycle

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Pages 1-14 | Received 03 Oct 2018, Accepted 18 Aug 2019, Published online: 17 Dec 2019

References

  • Ashok, K., Behera, S. K., Rao, S. A., Weng, H. and Yamagata, T. 2007. El Niño Modoki and its possible teleconnection. J. Geophys. Res 112, C11007. doi:10.1029/2006JC003798
  • An, S.-I. 2008. Interannual variations of the tropical ocean in- stability wave and ENSO. J. Climate 21, 3680–3686. doi:10.1175/2008JCLI1701.1
  • Battisti, D. S. and Hirst, A. C. 1989. Interannual variability in the tropical atmosphere/ocean system: influence of the basic state and ocean geometry. J. Atmos. Sci. 46, 1687–1712. doi:10.1175/1520-0469(1989)046<1687:IVIATA>2.0.CO;2
  • Cane, M. A. and Zebiak, S. E. 1985. A theory for El Niño and the Southern Oscillation. Science 228, 1085–1087. doi:10.1126/science.228.4703.1085
  • Capotondi, A., Wittenberg, A. T., Newman, M., Di Lorenzo, E., Yu, J.-Y. and co-authors. 2015. Understanding ENSO diversity. Bull. Amer. Meteor. Soc. 96, 921–938. doi:10.1175/BAMS-D-13-00117.1
  • Cox, M. D. 1980. Generation and propagation of 30-day waves in a numerical model of the Pacific. J. Phys. Oceanogr. 10, 1168–1186. doi:10.1175/1520-0485(1980)010<1168:GAPODW>2.0.CO;2
  • De Elvira, A. R. and Lemke, P. 1982. A Langevin equation for stochastic climate models with periodic feedback and forcing variance. Tellus 34, 313–320. doi:10.1111/j.2153-3490.1982.tb01821.x
  • Düing, W., Hisard, P., Katz, E., Meincke, J., Miller, L. and co-authors. 1975. Meanders and long waves in the equatorial Atlantic. Nature 257, 280–284.,. doi:10.1038/257280a0
  • Eisenman, I., Yu, L. and Tziperman, E. 2005. Westerly wind bursts: ENSO’s tail rather than the dog?. J. Climate 18, 5224–5238. doi:10.1175/JCLI3588.1
  • Frankignoul, C. and Hasselmann, K. 1977. Stochastic climate models, Part II. Application to sea-surface temperature anomalies and thermocline variability. Tellus 29, 289–305.
  • Hansen, D. V. and Paul, C. A. 1984. Genesis and effects of long waves in the equatorial Pacific. J. Geophys. Res. 89, 10431–10440. doi:10.1029/JC089iC06p10431
  • Hasselmann, K. 1976. Stochastic climate models Part I. Theory. Tellus 28, 473–485.
  • Hendon, H. H., Wheeler, M. and Zhang, C. 2007. Seasonal dependence of the MJO–ENSO relationship. J. Climate 20, 531–543. doi:10.1175/JCLI4003.1
  • Im, S.-H., An, S.-I., Lengaigne, M. and Noh, Y. 2012. Seasonality of tropical instability waves and its feedback to the seasonal cycle in the tropical eastern pacific. The Scientific World Journal, 2012, 612048.
  • Jiang, N., Neelin, J. D. and Ghil, M. 1995. Quasi-quadrennial and quasi-biennial variability in the equatorial Pacific. Clim. Dyn. 12, 101–112. doi:10.1007/BF00223723
  • Jin, F.-F. and Neelin, J. D. 1993. Modes of interannual tropical ocean-atmosphere inter-action—a unified view. Part I: numerical results. J. Atmos. Sci. 50, 3477–3502. doi:10.1175/1520-0469(1993)050<3477:MOITOI>2.0.CO;2
  • Jin, F.-F., Neelin, J. D. and Ghil, M. 1994. El Niño on the Devil’s staircase: annual subharmonic steps to chaos. Science 264, 70. doi:10.1126/science.264.5155.70
  • Jin, F.-F., Neelin, J. D. and Ghil, M. 1996. El Niño/Southern oscillation and the annual cycle: subharmonic frequency-locking and aperiodicity. Physica D 98, 442–465. doi:10.1016/0167-2789(96)00111-X
  • Jin, F.-F. 1997. An equatorial ocean recharge paradigm for ENSO. Part I: conceptual model. J. Atmos. Sci. 54, 811–829. doi:10.1175/1520-0469(1997)054<0811:AEORPF>2.0.CO;2
  • Jin, F.-F. 1997. An equatorial ocean recharge paradigm for ENSO. Part II: a striped-down coupled model. J. Atmos. Sci. 54, 830–846. doi:10.1175/1520-0469(1997)054<0830:AEORPF>2.0.CO;2
  • Jin, F.-F., Lin, L., Timmermann, A. and Zhao, J. 2007. Ensemble-mean dynamics of the ENSO recharge oscillator under state-dependent stochastic forcing. Geophys. Res. Lett. 34, L0807.
  • Kessler, W. S. and Kleeman, R. 2000. Rectification of the Madden-Julian Oscillation into the ENSO cycle. J. Climate 13, 3560–3575. doi:10.1175/1520-0442(2000)013<3560:ROTMJO>2.0.CO;2
  • Kleeman, R. and Moore, A. M. 1997. A theory for the limitation of ENSO predictability due to stochastic atmospheric transients. J. Atmos. Sci. 54, 753–767. doi:10.1175/1520-0469(1997)054<0753:ATFTLO>2.0.CO;2
  • Kug, J.-S., Jin, F.-F., Sooraj, K. P. and Kang, I.-S. 2008. Evidence of the state-dependent atmospheric noise associated with ENSO. Geophy. Res. Lett. 35, L05701.
  • Kug, J.-S., Jin, F.-F. and An, S.-I. 2009. Two-types El Nino: Cold Tongue El Nino and Warm Pool El Nino. J. Climate 22, 1499–1515. doi:10.1175/2008JCLI2624.1
  • Kug, J.-S., Sooraj, K. P., Kim, D., Kang, I.-S., Jin, F.-F. and co-authors. 2009. Simulation of state-dependent high-frequency atmospheric variability associated with ENSO. Clim. Dyn. 32, 635–648., doi:10.1007/s00382-008-0434-2
  • Kutsuwada, K. and McPhaden, M. J. 2002. Intraseasonal variations in the upper equatorial Pacific Ocean prior to and during the 1997-98 El Niño. J. Phys. Oceanogr. 32, 1133–1149. doi:10.1175/1520-0485(2002)032<1133:IVITUE>2.0.CO;2
  • Legeckis, R. 1977. Long waves in the eastern equatorial Pacific Ocean: A view from a geostationary satellite. Science 197, 1179–1181. doi:10.1126/science.197.4309.1179
  • Lengaigne, M., Guilyardi, E., Boulanger, J. P., Menkes, C., Delecluse, P. and co-authors. 2004. Triggering of El Niño by westerly wind events in a coupled general circulation model. Clim. Dyn. 23, 601–620., doi:10.1007/s00382-004-0457-2
  • Luther, D. S. and Johnson, E. S. 1990. Eddy Energetics in the Upper Equatorial Pacific during the Hawaii-to-Tahiti Shuttle Experiment. J. Phys. Oceanogr. 20, 913–944., doi:10.1175/1520-0485(1990)020<0913:EEITUE>2.0.CO;2
  • Lyman, J. M., Johnson, G. C. and Kessler, W. S. 2007. Distinct 17- and 33-day tropical instability waves in subsurface observations. J. Phys. Oceanogr. 37, 855–872. doi:10.1175/JPO3023.1
  • McPhaden, M. J., Busalacchi, A. J., Cheney, R., Donguy, J.-R., Gage, K. S. and co-authors. 1998. The tropical ocean-global atmosphere (TOGA) observing system: a decade of progress. J. Geophys. Res. 103, 14169–14240., doi:10.1029/97JC02906
  • McPhaden, M. J. 2004. Evolution of the 2002/03 El Niño. Bull. Amer. Meteor. Soc. 85, 677–695. doi:10.1175/BAMS-85-5-677
  • Moore, A. M. and Kleeman, R. 1999. Stochastic forcing of ENSO by the intraseasonal oscillation. J. Climate 12, 1199–1220. doi:10.1175/1520-0442(1999)012<1199:SFOEBT>2.0.CO;2
  • Neelin, J. D., Battisti, D. S., Hirst, A. C., Jin, F.-F., Wakata, Y. and co-authors. 1998. ENSO theory. J. Geophys. Res. 103, 14261–14290., doi:10.1029/97JC03424
  • Penland, C. and Matrosova, L. 1994. A balance condition for stochastic numerical models with application to the El Niño‒Southern oscillation. J. Climate 7, 1352–1372. doi:10.1175/1520-0442(1994)007<1352:ABCFSN>2.0.CO;2
  • Penland, C. and Sardeshmukh, P. D. 1995. The optimal growth of tropical sea surface temperature anomalies. J. Climate 8, 1999–2024. doi:10.1175/1520-0442(1995)008<1999:TOGOTS>2.0.CO;2
  • Perigaud, C. M. and Cassou, C. 2000. Importance of oceanic decadal trends and westerly wind bursts for forecasting El Niño. Geophys. Res. Lett. 27, 389–392. doi:10.1029/1999GL010781
  • Philander, S. G. H. 1978. Instabilities of zonal equatorial currents: Part 2. J. Geophys. Res. 83, 3679–3682. doi:10.1029/JC083iC07p03679
  • Philander, S. G. H. and Niño, E. 1990. La Niña, and the Southern Oscillation. Academic Press, San Diego, pp 293.
  • Qiao, L. and Weisberg, R. H. 1995. Tropical instability wave kinematics: Observations from the tropical instability wave experiment. J. Geophys. Res. 100, 8677–8693. doi:10.1029/95JC00305
  • Reynolds, R. W., Liu, C., Smith, T. M., Chelton, D. B., Schlax, M. G. and co-authors. 2007. Daily high-resolution-blended analyses for sea surface temperature. J. Climate 20, 5473–5496., doi:10.1175/2007JCLI1824.1
  • Stein, K., Timmermann, A., Schneider, N., Jin, F.-F. and Stuecker, M. F. 2014. ENSO seasonal synchronization theory. J. Climate 27, 5285–5310. doi:10.1175/JCLI-D-13-00525.1
  • Stuecker, M. F., Timmermann, A., Jin, F.-F., McGregor, S. and Ren, H.-L. 2013. A combination mode of the annual cycle and the El Niño/Southern Oscillation. Nature Geosci. 6, 540–544. doi:10.1038/ngeo1826
  • Stuecker, M. F., Jin, F.-F. and Timmermann, A. 2015. El Nino-Southern Oscillation frequency cascade.. Proc. Natl. Acad. Sci. USA. 112, 13490–13495. doi:10.1073/pnas.1508622112
  • Stuecker, M. F., Timmermann, A., Jin, F.-F., Chikamoto, Y., Zhang, W. and co-authors. 2017. Revisiting ENSO/Indian Ocean Dipole phase relationships. Geophys. Res. Lett. 44, 2481–2492., doi:10.1002/2016GL072308
  • Suarez, M. J. and Schopf, P. S. 1988. A delayed action oscillator for ENSO. J. Atmos. Sci. 45, 3283–3287. doi:10.1175/1520-0469(1988)045<3283:ADAOFE>2.0.CO;2
  • Tang, Y. and Yu, B. 2008. MJO and its relationship to ENSO. J. Geophys. Res. 113, D14106. doi:10.1029/2007JD009230
  • Timmermann, A., An, S.-I., Kug, J.-S., Jin, F.-F., Cai, W. et al. 2018. El Niño Southern oscillation complexity. Nature 559, 535–545. doi:10.1038/s41586-018-0252-6
  • Tziperman, E., Stone, L., Cane, M. A. and Jarosh, H. 1994. El Niño chaos: overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator. Science 264, 72. doi:10.1126/science.264.5155.72
  • Wang, C. and Picaut, J. 2004. Understanding ENSO physics. A review in Earth’s climate: the ocean-atmosphere interactions. In: Geophysical Monograph Series (ed. C. Wang, S.-P. Xie and J. A. Carton) Vol. 147 AGU, Washington, D. C., 21–48 pp.
  • Wang, W. and McPhaden, M. J. 1999. The surface layer heat balance in the equatorial Pacific Ocean, Part I: Mean seasonal cycle. J. Phys. Oceanogr. 29, 1812–1831. doi:10.1175/1520-0485(1999)029<1812:TSLHBI>2.0.CO;2
  • Wang, W. and McPhaden, M. J. 2000. The surface layer heat balance in the equatorial Pacific ocean. Part II: interannual variability. J. Phys. Oceanogr. 30, 2989–3008. doi:10.1175/1520-0485(2001)031<2989:TSLHBI>2.0.CO;2
  • Wang, W. and McPhaden, M. J. 2001. Surface layer heat balance in the equatorial Pacific ocean during the 1997-98 El Niño and the 1998-99 La Niña. J. Climate 14, 3393–3407. doi:10.1175/1520-0442(2001)014<3393:SLTBIT>2.0.CO;2
  • Wilson, D. and Leetmaa, A. 1988. Acoustic Doppler current pro- filing in the equatorial Pacific in 1984. J. Geophys. Res. 93, 13947–13913 966. doi:10.1029/JC093iC11p13947
  • Yu, L., Weller, R. A. and Liu, T. W. 2003. Case analysis of a role of ENSO in regulating the generation of westerly wind bursts in the western equatorial Pacific. J. Geophys. Res 108, 3128. doi:10.1029/2002JC001498
  • Zhang, C. and Gottschalck, J. 2002. SST anomalies of ENSO and the Madden-Julian Oscillation in the equatorial Pacific. J. Climate 15, 2429–2445. doi:10.1175/1520-0442(2002)015<2429:SAOEAT>2.0.CO;2
  • Zhang, Q., Kumar, A., Xue, Y., Wang, W. and Jin, F.-F. 2007. Analysis of the ENSO Cycle in NCEP Coupled Forecast Model. J. Climate 20, 1265–1274. doi:10.1175/JCLI4062.1