Reconstructing sea level using cyclostationary empirical orthogonal functions

[1] Cyclostationary empirical orthogonal functions, derived from satellite altimetry, are combined with historical sea level measurements from tide gauges to reconstruct sea level fields from 1950 through 2009. Previous sea level reconstructions have utilized empirical orthogonal functions as basis functions, but by using cyclostationary empirical orthogonal functions and by addressing other aspects of the reconstruction procedure, an alternative sea level reconstruction can be computed. The procedure introduced here is capable of capturing the annual cycle and El Nino–Southern Oscillation (ENSO) signals back to 1950, with correlations between the reconstructed ENSO signal and common ENSO indices found to be over 0.9. The regional trends computed from the new reconstruction show good agreement with the trends obtained from the satellite altimetry, but some discrepancies are seen when comparing with previous sea level reconstructions over longer time periods. The computed rate of global mean sea level rise from the reconstructed time series is 1.97 mm/yr from 1950 to 2009 and 3.22 mm/yr from 1993 to 2009.

[1]  A. Cazenave,et al.  Two-dimensional reconstruction of past sea level (1950–2003) from tide gauge data and an Ocean General Circulation Model , 2009 .

[2]  S. Rahmstorf,et al.  Global sea level linked to global temperature , 2009, Proceedings of the National Academy of Sciences.

[3]  G. Meehl,et al.  Patterns of Indian Ocean sea-level change in a warming climate , 2010 .

[4]  Chul Eddy Chung,et al.  On the evolution of the annual cycle in the tropical Pacific , 2001 .

[5]  T. Schmith,et al.  A Surrogate Ensemble Study of Sea Level Reconstructions , 2009 .

[6]  A multiscale interaction model for the origin of the tropospheric QBO , 1995 .

[7]  G. North Empirical Orthogonal Functions and Normal Modes , 1984 .

[8]  R. Nerem Global Mean Sea Level Variations from TOPEX/POSEIDON Altimeter Data , 1995, Science.

[9]  D. Chambers,et al.  Low‐frequency variations in global mean sea level: 1950–2000 , 2002 .

[10]  F. LeMoine,et al.  A reassessment of global and regional mean sea level trends from TOPEX and Jason‐1 altimetry based on revised reference frame and orbits , 2007 .

[11]  M. Marcos,et al.  Comparison of Mediterranean sea level fields for the period 1961-2000 as given by a data reconstruction and a 3D model , 2009 .

[12]  G. Mitchum,et al.  An Anomalous Recent Acceleration of Global Sea Level Rise , 2009 .

[13]  G. Compo,et al.  Removing ENSO-Related Variations from the Climate Record , 2010 .

[14]  Interannual Variability of Patterns of Atmospheric Mass Distribution , 2005 .

[15]  Anny Cazenave,et al.  Present‐day sea level change: Observations and causes , 2004 .

[16]  H. Plag,et al.  Estimations of a global sea level trend: limitations from the structure of the PSMSL global sea level data set , 1993 .

[17]  E. Rasmusson,et al.  Meteorological Aspects of the El Ni�o/Southern Oscillation , 1983, Science.

[18]  Balaji Rajagopalan,et al.  Analyses of global sea surface temperature 1856–1991 , 1998 .

[19]  K. Lambeck,et al.  Estimates of the Regional Distribution of Sea Level Rise over the 1950–2000 Period , 2004 .

[20]  kwang-yul kim,et al.  A Comparison Study of EOF Techniques: Analysis of Nonstationary Data with Periodic Statistics , 1999 .

[21]  M. Cane,et al.  Reduced Space Optimal Interpolation of Historical Marine Sea Level Pressure: 1854–1992* , 2000 .

[22]  A. Cazenave,et al.  Reconstruction of past decades sea level using thermosteric sea level, tide gauge, satellite altimetry and ocean reanalysis data , 2008 .

[23]  Thomas M. Smith,et al.  Reconstruction of Historical Sea Surface Temperatures Using Empirical Orthogonal Functions , 1996 .

[24]  Bruce C. Douglas,et al.  Global sea level rise , 1991 .

[25]  C. Tai Accuracy assessment of widely used orbit error approximations in satellite altimetry , 1989 .

[26]  kwang-yul kim,et al.  EOFs of One-Dimensional Cyclostationary Time Series: Computations, Examples, and Stochastic Modeling , 1996 .

[27]  R. Nerem,et al.  Calibration of TOPEX/Poseidon and Jason Altimeter Data to Construct a Continuous Record of Mean Sea Level Change , 2004 .

[28]  S. George Philander,et al.  Geophysical Interplays. (Book Reviews: El Nino, La Nina, and the Southern Oscillation.) , 1990 .

[29]  L. Miller,et al.  Gyre‐scale atmospheric pressure variations and their relation to 19th and 20th century sea level rise , 2007 .

[30]  kwang-yul kim,et al.  EOFs of Harmonizable Cyclostationary Processes , 1997 .

[31]  K. Wolter,et al.  Measuring the strength of ENSO events: How does 1997/98 rank? , 1998 .

[32]  Swadhin K. Behera,et al.  El Niño Modoki and its possible teleconnection , 2007 .

[33]  E. Rasmusson,et al.  The biennial component of ENSO variability , 1990 .

[34]  Kwang-Yul Kim,et al.  The Effect of Signal-to-Noise Ratio on the Study of Sea Level Trends , 2011 .

[35]  N. White,et al.  A 20 th century acceleration in global sea-level rise , 2005 .

[36]  N. White,et al.  A 20th century acceleration in global sea‐level rise , 2006 .