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Interannual and interdecadal oscillation patterns in sea level

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Abstract

Relative sea-level height (RSLH) data at 213 tide-gauge stations have been analyzed on a monthly and an annual basis to study interannual and interdecadal oscillations, respectively. The main tools of the study are singular spectrum analysis (SSA) and multi-channel SSA (M-SSA). Very-low-frequency variability of RSLH was filtered by SSA to estimate the linear trend at each station. Global sea-level rise, after postglacial rebound corrections, has been found to equal 1.62±0.38 mm/y, by averaging over 175 stations which have a trend consistent with the neighboring ones. We have identified two dominant time scales of El Niño-Southern Oscillation (ENSO) variability, quasi-biennial and low-frequency, in the RSLH data at almost all stations. However, the amplitudes of both ENSO signals are higher in the equatorial Pacific and along the west coast of North America. RSLH data were interpolated along ocean coasts by latitudinal intervals of 5 or 10 degrees, depending on station density. Interannual variability was then examined by M-SSA in five regions: eastern Pacific (25°S–55°N at 10° resolution), western Pacific (35°S–45°N at 10°), equatorial Pacific (123°E–169°W, 6 stations), eastern Atlantic (30°S, 0°, and 30°N–70°N at 5°) and western Atlantic (50°S–50°N at 10°). Throughout the Pacific, we have found three dominant spatio-temporal oscillatory patterns, associated with time scales of ENSO variability; their periods are 2, 2.5–3 and 4–6 y. In the eastern Pacific, the biennial mode and the 6-y low-frequency mode propagate poleward. There is a southward propagation of low-frequency modes in the western Pacific RSLH, between 35°N and 5°S, but no clear propagation in the latitudes further south. However, equatorward propagation of the biennial signal is very clear in the Southern Hemisphere. In the equatorial Pacific, both the quasi-quadrennial and quasi-biennial modes at 10°N propagate westward. Strong and weak El Niño years are evident in the sea-level time series reconstructed from the quasi-biennial and low-frequency modes. Interannual variability with periods of 3 and 4–8 y is detected in the Atlantic RSLH data. In the eastern Atlantic region, we have found slow propagation of both modes northward and southward, away from 40–45°N. Interdecadal oscillations were studied using 81 stations with sufficiently long and continuous records. Most of these have variability at 9–13 and some at 18 y. Two significant eigenmode pairs, corresponding to periods of 11.6 and 12.8 y, are found in the eastern and western Atlantic ocean at latitudes 40°N–70°N and 10°N–50°N, respectively.

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References

  • Allen MR, Smith LA (1994) Investigating the origins and significance of low-frequency modes of climate variability. Geophys Res Lett 21:883–886

    Google Scholar 

  • Allen MR, Read PL, Smith LA (1992) Temperature time series? Nature 355:686

    Google Scholar 

  • Barnett TP (1983a) Recent changes in sea level and their possible causes. Clim Change 5:15–38

    Google Scholar 

  • Barnett TP (1983b) Interaction of the monsoon and Pacific trade wind system at interannual time scales. Part I: the equatorial zone. Mon Weather Rev 111:756–773

    Google Scholar 

  • Barnett TP (1984) Estimation of “global” sea level change: a problem of uniqueness. J Geophys Res 89:7980–7988

    Google Scholar 

  • Broomhead DS, King GP (1986a) Extracting qualitative dynamics from experimental data. Physica D 20:217–236

    Google Scholar 

  • Broomhead DS, King GP (1986b) On the qualitative analysis of experimental dynamical systems. In: Sarkar S (ed) Nonlinear phenomena and chaos. Adam Hilger, Bristol pp 113–144

    Google Scholar 

  • Cahalan RF (1983) EOF spectral estimation in climate analysis. Proc 2nd Int Meet Statisti Climatol, Lisbon, pp 4.5.1–4.5.7

  • Craddock JM, Flood CR (1969) Eigenvectors for representing the 500 mb geopotential surface over the Northern Hemisphere. Q J R Meteorol Soc 95:577–593

    Google Scholar 

  • Chelton DG, Davis RE (1982) Monthly mean sea level variability along the west coast of North America. J Phys Oceanogr 12:757–784

    Google Scholar 

  • Dettinger DD, Ghil M, Strong CM, Weibel W, Yiou P (1995) Software for singular spectrum analysis of noisy time series. Eos, Trans AGU

  • Douglas BC (1991) Global sea level rise. J Geophys Res 96:6981–6992

    Google Scholar 

  • Emery KO (1980) Relative sea levels from tide-gauge records. Proc Nat Acad Sci 77:6968–6972

    Google Scholar 

  • Enfield DB, Allen IS (1980) On the structure and dynamics of monthly mean sea level anomalies along the Pacific coast of North and South America. J Phys Oceanogr 10:557–578

    Google Scholar 

  • Fairbridge R, Krebs OR (1962) Sea level and Southern Oscillation. Geophys J R Astron Soc 6:532–545

    Google Scholar 

  • Ghil M, Mo K (1991a) Intraseasonal oscillations in the global atmosphere. Part I: Northern Hemisphere and tropics. J Atmos Sci 48:752–779

    Google Scholar 

  • Ghil M, Mo K (1991b) Intraseasonal oscillations in the global atmosphere. Part II: Southern Hemisphere. J Atmos Sci 48:780–789

    Google Scholar 

  • Ghil M, Vautard R (1991) Interdecadal oscillations and the warming trend in global temperature series. Nature 350:324–327

    Google Scholar 

  • Gornitz V, Lebedeff S, Hansen J (1982) Global sea level trends in the past century. Science 215:1611–1614

    Google Scholar 

  • Hasselmann K (1988) PIPS and POPS — a general formalism for the reduction of dynamical systems in terms of principal interaction patterns. J Geophys Res 93:11015–11021

    Google Scholar 

  • Hastenrath S (1976) Variations in low-latitude circulation and extreme climatic events in the tropical Americas. J Atmos Sci 33:202–215

    Google Scholar 

  • Horel JD (1984) Complex principal component analysis: theory and examples. J Clim Appl Meteorol 23:1660–1673

    Google Scholar 

  • Jacobs GA, Hurlburt HE, Kindle JC, Metzger EJ, Mitchell JL, Teague WJ, Wallcraft AJ (1994) Decade-scale trans-Pacific propagation and warming effects of an El Niño anomaly. Nature 370:360–363

    Google Scholar 

  • Jiang N, Neelin D, Ghil M (1992) Quasi-quadrennial and quasibiennial variability in COADS equatorial Pacific sea surface temperatures and surface zonal winds. Proc 17th Clim Diag Workshop, CAC/NOAH, pp 348–353

  • Jenkins GM, Watts DG (1968) Spectral analysis and its applications. Holden-Day, pp 258–317

  • Keppenne CL, Ghil M (1992) Adaptive spectral analysis and prediction of the southern oscillation index. J Geophys Res 97:20449–20454

    Google Scholar 

  • Kimoto M, Ghil M, Mo K (1991) Spatial structure of the 40-day oscillation in the Northern Hemisphere extratropics. Proc 8th Conf Waves Stabil Atmos Ocean, Am Meteorol Soc, Boston MA, pp 115–116

    Google Scholar 

  • Kuo C, Lindberg C, Thomson DJ (1990) Coherence established between atmospheric carbon dioxide and global temperature. Nature 343:709–713

    Google Scholar 

  • Levitus S (1990) Interpentadal variability of steric sea level and geopotential thickness of the North Atlantic ocean, 1970–74 versus 1955–59. J Geophys Res 95:5233–5238

    Google Scholar 

  • Lisitzin E (1974) Sea-level changes. Elsevier Oceanography Series 8, Elsevier Amsterdam, p 273

  • Livezey RE, Chen WY (1983) Statistical field significance and its determination by Monte Carlo techniques. Mon Weather Rev 111:46–59

    Article  Google Scholar 

  • Mann ME, Park J (1993) Spatial correlations of interdecadal variation in global surface temperatures. Geophys Res Lett 20:1055–1058

    Google Scholar 

  • Mitchum G, Lucas R (1990) Westward propagation of annual sea level and wind signals in the western Pacific Ocean. J Clim 3:1102–1110

    Google Scholar 

  • Munk WH, MacDonald GJF (1960) The rotation of the Earth. Cambridge University Press, Cambridge UK, p 323

    Google Scholar 

  • Munk WH, Cartwright DE (1966) Tidal spectroscopy and prediction. Philos Trans R Soc London 259:533–581

    Google Scholar 

  • Pares-Sierra A, O'Brien JJ (1989) The seasonal and interannual variability of the California current system: a numerical model. J Geophys Res 94:3159–3180

    Google Scholar 

  • Pazan SE, White WB (1986) Off-equatorial influence upon Pacific equatorial dynamic height variability during the 1982–83 El Niño/Southern Oscillation. J Geophys Res 96:22659–22671

    Google Scholar 

  • Peltier WR, Tusingham AM (1989) Global sea level rise and the greenhouse effect: might they be connected? Science 244:806–810

    Google Scholar 

  • Penland MC, Ghil M (1993) Forecasting Northern Hemisphere 700-mb geopotential height anomalies using empirical normal modes. Mon Weather Rev 121:2355–2372

    Google Scholar 

  • Penland MC, Ghil M, Weickmann K (1991) Adaptive filtering and maximum entropy spectra with application to changes in atmospheric angular momentum. J Geophys Res 96:22659–22671

    Google Scholar 

  • Plant G, Vautard R (1994) Spells of oscillations and weather regimes in the low-frequency dynamics of the Northern Hemisphere. J Atmos Sci 51:210–236

    Google Scholar 

  • Preisendorfer RW (1988) Principal component analysis in meteorology and oceanography. Mobley CD (ed) Elsevier Science, Amsterdam, pp 192–205

  • Quon C, Ghil M (1992) Multiple equilibria in thermosolutal convection due to salt-flux boundary conditions. J Fluid Mech 245:449–483

    Google Scholar 

  • Rasmusson EM, Wang X, Ropelewski CF (1990) The biennial component of ENSO variability. J Mar Syst 1:71–96

    Google Scholar 

  • Robertson A, Ma CC, Mechoso CR, Ghil M (1994a) Simulation of the tropical Pacific climate with a coupled ocean-atmosphere general circulation model. Part I: the seasonal cycle. J Clim (in press)

  • Robertson A, Ma CC, Ghil M, Mechoso CR (1994b) Simulation of the tropical Pacific climate with a coupled ocean-atmosphere general circulation model. Part II: interannual variability. J Clim (in press)

  • Roemmich D (1990) Sea level and thermal variability of the oceans. Sea-level change. National Academy Press, Washington D.C. pp 208–217

    Google Scholar 

  • Sezginer Y, Ghil M (1991) Interannual oscillations and sea-level rise. Proc 16th Clim Diag Workshop, CAC/NOAA, pp 237–240

  • Sturges W (1987) Large-scale coherence of sea level at very low frequencies. J Phys Oceanogr 17:2084–2094

    Google Scholar 

  • Thomson DJ (1982) Spectrum estimation and harmonic analysis. IEEE Proc 70:1055–1096

    Google Scholar 

  • Trupin A, Wahr J (1990) Spectroscopic analysis of global tide gauge sea level data. Geophys J Int 100:441–453

    Google Scholar 

  • Tushingham AM, Peltier WR (1991) ICE 3-G: a new global model of late Pleistocene deglaciation based upon geophysical predictions of post glacial relative sea level change. J Geophys Res 96:4497–4523

    Google Scholar 

  • Vautard R, Ghil M (1989) Singular spectrum analysis in nonlinear dynamics with application to paleoclimatic time series. Physica D 35:395–424

    Google Scholar 

  • Vautard R, Yiou P, Ghil M (1992) Singular spectrum analysis: a toolkit for short noisy chaotic time series. Physica D 58:95–126

    Google Scholar 

  • Walcott RI (1973) Structure of the Earth from glacio-isostatic rebound. Ann Rev Earth Planet Sci 1:15–37

    Google Scholar 

  • Weare BC, Nasstrom JS (1982) Examples of extended empirical orthogonal function analyses. Mon Weather Rev 110:481–485

    Google Scholar 

  • Weaver AJ, Sarachik ES, Marotzke J (1991) Freshwater flux forcing of decadal and interdecadal oceanic variability. Nature 353:836–838

    Google Scholar 

  • Wunsch C (1972) Bermuda sea level in relation to tides, weather, and baroclinic fluctuations. Rev Geophys Space Phys 10:1–49

    Google Scholar 

  • Wyrtki K, Leslie W (1980) The mean annual variation of sea level in the Pacific Ocean. University of Hawaii. HIG Report 80-5

  • Yiou P, Genthon C, Ghil M, Jouzel J, Le Treut H, Barnola JM, Lorius C, Korotkevitch YN (1991) High frequency paleovariability in climate and CO2 levels from Vostok ice core records. J Geophys Res 96:20365–20378

    Google Scholar 

Download references

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  1. Climate Dynamics Center, Department of Atmospheric Sciences and Institute of Geophysics & Planetary Physics, University of California, 90095-1565, Los Angeles, California

    Yurdanur Sezginer Unal & Michael Ghil

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  1. Yurdanur Sezginer Unal
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  2. Michael Ghil
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Sezginer Unal, Y., Ghil, M. Interannual and interdecadal oscillation patterns in sea level. Climate Dynamics 11, 255–278 (1995). https://doi.org/10.1007/BF00211679

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