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Forecasting sea level anomalies from TOPEX/Poseidon and Jason-1 satellite altimetry

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Abstract

This paper aims at the prediction of both global mean sea level anomalies (SLAs) and gridded SLA data in the east equatorial Pacific obtained from TOPEX/Poseidon and Jason-1 altimetric measurements. The first prediction technique (denoted as LS) is based on the extrapolation of a polynomial-harmonic deterministic least-squares model describing a linear trend, annual and semi-annual oscillations. The second prediction method (denoted as LS + AR) is a combination of the extrapolation of a polynomial-harmonic model with the autoregressive forecast of LS residuals. In the case of forecasting global mean SLA data, both techniques allow one to compute the predictions of comparable accuracy (root mean square error for 1-month in the future is of 0.5 cm). In the case of predicting gridded SLA data, the LS + AR prediction method gains significantly better prediction accuracy than the accuracy obtained by the LS technique during El Niño 1997/1998, La Niña 1998/1999 and during normal conditions.

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References

  • Akaike H (1971) Autoregressive model fitting for control. Ann Inst Stat Math 23: 163–180

    Article  Google Scholar 

  • Barbosa SM, Silva ME, Fernandes MJ (2006) Multivariate autoregressive modelling of sea level time series from TOPEX/Poseidon satellite altimetry. Nonlin Process Geophys 13: 177–184

    Article  Google Scholar 

  • Brockwell PJ, Davis RA (1996) Introduction to time series and forecasting. Springer, New York, p 420

    Google Scholar 

  • Chen JL, Wilson CR, Chambers DP, Nerem RS, Tapley BD (1998) Seasonal global water mass budget and mean sea level variations. Geophys Res Lett 25: 3555–3558

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Douglas BC (2001) Sea level change in the era of the recording tide gauge. In: Douglas BC, Kearney MS, Leatherman SP(eds) Sea level rise: history and consequences. Academic Press, San Diego, pp 37–64

    Chapter  Google Scholar 

  • Fu L-L, Christensen EJ, Yamarone CA Jr, Lefebvre M, Ménard Y, Dorrer M, Escudier P (1994) TOPEX/POSEIDON mission overview. J Geophys Res 99(C12): 24369–24381

    Article  Google Scholar 

  • Gornitz V, Lebedeff S (1987) Global sea-level changes during the past century. In: Nummedal A et al (ed) Sea-level fluctuation and coastal evolution. Soc Econ Paleontol Miner Spec Publ 41:3–16

  • Iz HB (2006) How do unmodeled systematic mean sea level variations affect long-term sea level trend estimates from tide gauge data? J Geod 80: 40–46

    Article  Google Scholar 

  • Knudsen P (1994) Global low harmonic degree models of the seasonal variability and residual ocean tide from TOPEX/POSEIDON data. J Geophys Res 99: 24643–24656

    Article  Google Scholar 

  • Kosek W (1995) Time variable band pass filter spectra of real and complex-valued polar motion series. Artif Satel J Planet Geod 30: 27–43

    Google Scholar 

  • Kosek W (2001) Long-term and short period global sea level changes from TOPEX/Poseidon altimetry. Artif Satel J Planet Geod 36: 71–84

    Google Scholar 

  • Lafon T (2005) JASON 1: lessons learned from the development and 1 year in orbit. Acta Astron 56: 45–49

    Article  Google Scholar 

  • Leuliette EW, Nerem RS, Mitchum GT (2004) Calibration of TOPEX/Poseidon and Jason Altimeter data to construct a continuous record of mean sea level change. Mar Geod 27: 79–94

    Article  Google Scholar 

  • Nerem RS, Schrama EJ, Kobylinsky CJ, Beckley BD (1994) A preliminary evaluation of ocean topography from the TOPEX/POSEIDON mission. J Geophys Res 99(C12): 24565–24583

    Article  Google Scholar 

  • Nerem RS, Chambers DP, Leuliette EW, Mitchum GT, Giese BS (1999) Variations in global mean sea level associated with the 1997-98 ENSO event: implications for measuring long term sea level change. Geophys Res Lett 26: 3005–3008

    Article  Google Scholar 

  • Neumaier A, Schneider T (2001) Estimation of parameters and eigenmodes of multivariate autoregressive models. ACM Trans Math Softw 27: 27–57

    Article  Google Scholar 

  • Niedzielski T, Kosek W (2005) Multivariate stochastic prediction of the global mean sea level anomalies based on TOPEX/Poseidon satellite altimetry. Artif Satel 40: 185–198

    Google Scholar 

  • Niedzielski T, Kosek W (2007) A required data span to detect sea level rise. In: Weintrit A(eds) Advances in marine navigation and safety of sea transportation. Gdynia Maritime Univeristy, Poland, pp 367–371

    Google Scholar 

  • Röske F (1997) Sea level forecasts using neural networks. Ocean dynam 49: 71–99

    Google Scholar 

  • Singleton RC (1969) An algorithm for computing the mixed radix fast Fourier transform. IEEE Trans Audio Electroacoust 17: 93–103

    Article  Google Scholar 

  • Tapley BD, Ries JC, Davis GW, Eanes RJ, Schutz BE, Shum CK, Watkins MM, Marshall JA, Nerem RS, Putney BH, Klosko SM, Luthcke SB, Pavlis D, Williamson RG, Zelensky NP (1994) Precision orbit determination for TOPEX/POSEIDON. J Geophys Res 99(C12): 24383–24404

    Article  Google Scholar 

  • Unal YS, Ghil M (1995) Interannual and interdecadal oscillation patterns in sea level. Clim Dynam 11: 255–278

    Article  Google Scholar 

  • Warrick RA, Le Provost C, Meier MF, Oerlemans J, Woodworth PL (1996) Changes in sea level. In: Houghton JT, Meira Filho LG, Callander BA, Harris N, Kattenberg A, Maskell K(eds) Climate change 1995. The science of climate change. Cambridge University Press, Cambridge, pp 361–405

    Google Scholar 

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Correspondence to Tomasz Niedzielski.

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Niedzielski, T., Kosek, W. Forecasting sea level anomalies from TOPEX/Poseidon and Jason-1 satellite altimetry. J Geod 83, 469–476 (2009). https://doi.org/10.1007/s00190-008-0254-5

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  • DOI: https://doi.org/10.1007/s00190-008-0254-5

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