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Probabilistic reanalysis of twentieth-century sea-level rise

An Erratum to this article was published on 08 November 2017

Abstract

Estimating and accounting for twentieth-century global mean sea-level (GMSL) rise is critical to characterizing current and future human-induced sea-level change. Several previous analyses of tide gauge records1,2,3,4,5,6—employing different methods to accommodate the spatial sparsity and temporal incompleteness of the data and to constrain the geometry of long-term sea-level change—have concluded that GMSL rose over the twentieth century at a mean rate of 1.6 to 1.9 millimetres per year. Efforts to account for this rate by summing estimates of individual contributions from glacier and ice-sheet mass loss, ocean thermal expansion, and changes in land water storage fall significantly short in the period before 19907. The failure to close the budget of GMSL during this period has led to suggestions that several contributions may have been systematically underestimated8. However, the extent to which the limitations of tide gauge analyses have affected estimates of the GMSL rate of change is unclear. Here we revisit estimates of twentieth-century GMSL rise using probabilistic techniques9,10 and find a rate of GMSL rise from 1901 to 1990 of 1.2 ± 0.2 millimetres per year (90% confidence interval). Based on individual contributions tabulated in the Fifth Assessment Report7 of the Intergovernmental Panel on Climate Change, this estimate closes the twentieth-century sea-level budget. Our analysis, which combines tide gauge records with physics-based and model-derived geometries of the various contributing signals, also indicates that GMSL rose at a rate of 3.0 ± 0.7 millimetres per year between 1993 and 2010, consistent with prior estimates from tide gauge records4. The increase in rate relative to the 1901–90 trend is accordingly larger than previously thought; this revision may affect some projections11 of future sea-level rise.

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Figure 1: Fit of the KS-based reconstruction of sea level to the tide gauge record.
Figure 2: Time series of GMSL for the period 1900–2010.
Figure 3: Comparison of mean GMSL rates for 1901–90.
Figure 4: Moving 15-year averages of GMSL rate estimated using the KS reconstruction of sea level across the entire interval 1901–2010.

References

  1. Douglas, B. C. Global sea rise: a redetermination. Surv. Geophys. 18, 279–292 (1997)

    Article  ADS  Google Scholar 

  2. Holgate, S. J. On the decadal rates of sea level change during the twentieth century. Geophys. Res. Lett. 34, L01602 (2007)

    Article  ADS  Google Scholar 

  3. Jevrejeva, S., Moore, J. C., Grinsted, A. & Woodworth, P. L. Recent global sea level acceleration started 200 years ago? Geophys. Res. Lett. 35, L08715 (2008)

    Article  ADS  Google Scholar 

  4. Church, J. A. & White, N. J. Sea level rise from the late 19th to the early 21st century. Surv. Geophys. 32, 585–602 (2011)

    Article  ADS  Google Scholar 

  5. Ray, R. D. & Douglas, B. C. Experiments in reconstructing twentieth-century sea levels. Prog. Oceanogr. 91, 496–515 (2011)

    Article  ADS  Google Scholar 

  6. Wenzel, M. & Schroeter, J. Reconstruction of regional mean sea level anomalies from tide gauges using neural networks. J. Geophys. Res. 115, C08013 (2010)

    Article  ADS  Google Scholar 

  7. Church, J. A. et al. in Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change (eds Stocker, T. F. et al.) Ch. 13 (Cambridge Univ. Press, 2013)

  8. Gregory, J. M. et al. Twentieth-century global mean sea level rise: is the whole greater than the sum of the parts? J. Clim. 26, 4476–4499 (2013)

    Article  ADS  Google Scholar 

  9. Hay, C. C., Morrow, E., Kopp, R. E. & Mitrovica, J. X. Estimating the sources of global sea level rise with data assimilation techniques. Proc. Natl Acad. Sci. USA 110, 3692–3699 (2013)

    Article  ADS  CAS  PubMed  Google Scholar 

  10. Kopp, R. E. Does the mid-Atlantic United States sea level acceleration hot spot reflect ocean dynamic variability? Geophys. Res. Lett. 40, 3981–3985 (2013)

    Article  ADS  Google Scholar 

  11. Rahmstorf, S. A semi-empirical approach to projecting future sea-level rise. Science 315, 368–370 (2007)

    Article  ADS  CAS  PubMed  Google Scholar 

  12. Ekman, M. The world’s longest continued series of sea level observations. Pure Appl. Geophys. 127, 73–77 (1988)

    Article  ADS  Google Scholar 

  13. Woodworth, P. L. High waters at Liverpool since 1768: the UK’s longest sea level record. Geophys. Res. Lett. 26, 1589–1592 (1999)

    Article  ADS  Google Scholar 

  14. Wöppelmann, G., Pouvreau, N., Coulomb, A., Simon, B. & Woodworth, P. L. Tide gauge datum continuity at Brest since 1711: France’s longest sea-level record. Geophys. Res. Lett. 35, http://dx.doi.org/10.1029/2008GL035783 (2008)

  15. Holgate, S. J. et al. New data systems and products at the permanent service for mean sea level. J. Coast. Res. 29, 493–504 (2013)

    Google Scholar 

  16. Peltier, W. R. & Tushingham, A. M. Global sea level rise and the greenhouse effect: might they be connected? Science 244, 806–810 (1989)

    Article  ADS  CAS  PubMed  Google Scholar 

  17. Davis, J. L. & Mitrovica, J. X. Glacial isostatic adjustment and the anomalous tide gauge record of eastern North America. Nature 379, 331–333 (1996)

    Article  ADS  CAS  Google Scholar 

  18. Woodward, R. On the form of position of mean sea level. US Geol. Surv. Bull. 48, 87–170 (1888)

    Google Scholar 

  19. Clark, J. A. & Lingle, C. S. Future sea level changes due to West Antarctic ice sheet fluctuations. Nature 269, 206–209 (1977)

    Article  ADS  Google Scholar 

  20. Mitrovica, J. X., Tamisiea, M. E., Davis, J. L. & Milne, G. A. Recent mass balance of polar ice sheets inferred from patterns of global sea-level change. Nature 409, 1026–1029 (2001)

    Article  ADS  CAS  PubMed  Google Scholar 

  21. Conrad, C. & Hager, B. H. Spatial variations in the rate of sea level rise caused by present day melting of glaciers and ice sheets. Geophys. Res. Lett. 24, 1503–1506 (1997)

    Article  ADS  CAS  Google Scholar 

  22. Kopp, R. E. et al. The impact of Greenland melt on local sea levels: a partially coupled analysis of dynamic and static equilibrium effects in idealized water hosing experiments. Clim. Change 103, 619–625 (2010)

    Article  ADS  Google Scholar 

  23. Rhein, M. et al. in Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change (eds Stocker, T. F. et al.) Ch. 3 (Cambridge Univ. Press, 2013)

  24. Permanent Service for Mean Sea Level (PSMSL). Tide gauge data. http://www.psmsl.org/data/obtaining/ (2014); retrieved 31 March 2014.

  25. Talbot, A., ed. Water Availability Issues for the St. Lawrence River: An Environmental Synthesis (Environment Canada, Montreal, 2006)

  26. Calafat, F. M., Chambers, D. P. & Tsimplis, M. N. On the ability of global sea level reconstructions to determine trends and variability. J. Geophys. Res. 119, 1572–1592 (2014)

    Article  ADS  Google Scholar 

  27. Christiansen, B., Schmith, T. & Thejll, P. A surrogate ensemble study of sea level reconstructions. J. Clim. 23, 4306–4326 (2010)

    Article  ADS  Google Scholar 

  28. Munk, W. Twentieth century sea level: an enigma. Proc. Natl Acad. Sci. USA 99, 6550–6555 (2002)

    Article  ADS  CAS  PubMed  Google Scholar 

  29. Nerem, R. S., Chambers, D. P., Choe, C. & Mitchum, G. T. Estimating mean sea level from the TOPEX and Jason altimeter missions. Mar. Geod. 33, 435–446 (2010)

    Article  Google Scholar 

  30. Woodworth, P. L. et al. Evidence for the accelerations of sea level on multi-decadal and century timescales. Int. J. Climatol. 29, 777–789 (2009)

    Article  Google Scholar 

  31. Mitrovica, J. X. & Davis, J. L. Present-day post-glacial sea level change far from the Late Pleistocene ice sheets: implications for recent analyses of tide gauge records. Geophys. Res. Lett. 22, 2529–2532 (1995)

    Article  ADS  Google Scholar 

  32. Taylor, K. E., Stouffer, R. J. & Meehl, G. A. An overview of CMIP5 and the experiment design. Bull. Am. Meteorol. Soc. 93, 485–498 (2012)

    Article  ADS  Google Scholar 

  33. Gelb, A., Kasper, J. F., Nash, R. A., Price, C. F. & Sutherland, A. A. in Applied Optimal Estimation (ed. Gelb, A. ) Ch. 5 (MIT Press, 1974)

    Google Scholar 

  34. Rauch, H. E., Tung, F. & Striebel, C. T. Maximum likelihood estimates of linear dynamic systems. Am. Inst. Aeronaut. Astronaut. J. 3, 1445–1450 (1965)

    Article  MathSciNet  Google Scholar 

  35. Rasmussen, C. E. & Williams, C. K. I. Gaussian Processes for Machine Learning (MIT Press, 2006)

    MATH  Google Scholar 

  36. Kaser, G., Cogley, J. G., Dyurgerov, M. B., Meier, M. F. & Ohmura, A. Mass balance of glaciers and ice caps: consensus estimates for 1961–2004. Geophys. Res. Lett. 33, L19501 (2006)

    Article  ADS  Google Scholar 

  37. Gregory, J. M. et al. Twentieth-century global mean sea level rise: is the whole greater than the sum of the parts? J. Clim. 26, 4476–4499 (2013)

    Article  ADS  Google Scholar 

  38. Kendall, R. A., Mitrovica, J. X. & Milne, G. A. On post-glacial sea level – II. Numerical formulation and comparative results on spherically symmetric models. Geophys. J. Int. 161, 679–706 (2005)

    Article  ADS  Google Scholar 

  39. Milne, G. A. & Mitrovica, J. X. Postglacial sea-level change on a rotating Earth. Geophys. J. Int. 133, 1–19 (1998)

    Article  ADS  Google Scholar 

  40. Mitrovica, J. X. et al. On the robustness of predictions of sea level fingerprints. Geophys. J. Int. 187, 729–742 (2011)

    Article  ADS  Google Scholar 

  41. Peltier, W. R. Global glacial isostasy and the surface of the ice-age Earth: the ICE-5G (VM2) model and GRACE. Annu. Rev. Earth Planet. Sci. 32, 111–149 (2004)

    Article  ADS  CAS  Google Scholar 

  42. Mitrovica, J. X. & Milne, G. A. On the origin of late Holocene sea-level highstands within equatorial ocean basins. Geophys. J. Int. 21, 2179–2190 (2002)

    Google Scholar 

  43. Church, J. A., White, N. J., Coleman, R., Lambeck, K. & Mitrovica, J. X. Estimates of the regional distribution of sea level rise over the 1950-2000 period. J. Clim. 17, 2609–2625 (2004)

    Article  ADS  Google Scholar 

  44. Tsimplis, M. N., Álvarez-Fanjul, E., Gomis, D., Fenoglio-Marc, L. & Pérez, B. Mediterranean Sea level trends: atmospheric pressure and wind contribution. Geophys. Res. Lett. 32, L20602 (2005)

    Article  ADS  Google Scholar 

  45. Gomis, D., Ruiz, S., Sotillo, M. G., Álvarez-Fanjul, E. & Terradas, J. Low frequency Mediterranean sea level variability: the contribution of atmospheric pressure and wind. Glob. Planet. Change 63, 215–229 (2008)

    Article  ADS  Google Scholar 

  46. Allan, R. & Ansell, T. A new globally complete monthly historical gridded mean sea level pressure dataset (HadSLP2): 1850–2004. J. Clim. 19, 5816–5842 (2006)

    Article  ADS  Google Scholar 

  47. Mehra, R. On the identification of variances and adaptive Kalman filtering. IEEE Trans. Automat. Contr. 15, 175–184 (1970)

    Article  MathSciNet  Google Scholar 

  48. Kopp, R. E. et al. The impact of Greenland melt on regional sea level: a partially coupled analysis of dynamic and static equilibrium effects in idealized water-hosing experiments. Clim. Change 103, 619–625 (2010)

    Article  ADS  Google Scholar 

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Acknowledgements

Tide gauge data were provided by PMSL (www.psmsl.org). This work was supported by US National Science Foundation grants ARC-1203414 and ARC-1203415, the New Jersey Sea Grant Consortium and the National Oceanic and Atmospheric Administration (NJSGC project 6410-0012), Rutgers University (R.E.K., C.C.H.), and Harvard University (J.X.M., C.C.H. and E.M.). We thank P. Woodworth for comments on earlier versions of this manuscript.

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Authors

Contributions

C.C.H. and E.M. developed the methodology and performed the analysis. R.E.K. and J.X.M. helped in the study design. All authors contributed to the discussion and writing of the manuscript.

Corresponding author

Correspondence to Carling C. Hay.

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The authors declare no competing financial interests.

Extended data figures and tables

Extended Data Figure 1 Illustrative sea-level fingerprints.

a, b, Normalized sea-level changes due to rapid melting of the Greenland Ice Sheet (a) and the West Antarctic Ice Sheet (b). The variable ‘normalized sea-level change’ on the colour scale is formally dimensionless, but may be interpreted as having the unit of metres of sea-level change per metre of the equivalent GMSL change associated with the melt event.

Extended Data Figure 2 The present-day rate of change of sea level in mm yr−1 due to GIA for a suite of Earth models.

a, b, Mean sea-level change (a) and standard deviation (b) computed from the output of 161 GIA model simulations (see text). In both frames, the colour scale saturates in the near field, which includes areas of post-glacial rebound and peripheral subsidence.

Extended Data Figure 3 Bootstrapping analysis of GMSL rate for 1901–90 obtained by sampling the global reconstruction of sea level.

Data points show the mean computed from a bootstrapping analysis of the 1901–90 GMSL rate as a function of the number of geographic sites used in the analysis (ranging from 25 to 600). Error bars, ±1s.d. Sites are obtained by randomly sampling the global KS reconstruction at a subset of tide gauge sites and introducing data gaps that are consistent with those that exist in the PSMSL database15. The analysis was repeated 100 times for each choice of the number of sites. Also shown (horizontal blue line and shading) is the 1901–90 rate and its 90% CI computed from the KS GMSL curve in Fig. 2 (1.2 ± 0.2 mm yr−1; Figs 2 and 3).

Extended Data Figure 4 Results of the KS analysis performed using a random subset of 450 tide gauges.

a, KS-estimated GMSL curve derived using a subset of 450 of the 622 tide gauge records discussed in the main text (blue line) and the reconstruction of Church and White4 (magenta line) and Jevrejeva et al.3 (red line). The shaded regions represent the 1σ certainty range. Panels bf show the KS reconstructions (black lines) at a representative set of 5 of the 122 sites that were not used in the estimation procedure. The observations are shown in red.

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Hay, C., Morrow, E., Kopp, R. et al. Probabilistic reanalysis of twentieth-century sea-level rise. Nature 517, 481–484 (2015). https://doi.org/10.1038/nature14093

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