The rate of global-mean sea-level rise since 1900 has varied over time, but the contributing factors are still poorly understood1. Previous assessments found that the summed contributions of ice-mass loss, terrestrial water storage and thermal expansion of the ocean could not be reconciled with observed changes in global-mean sea level, implying that changes in sea level or some contributions to those changes were poorly constrained2,3. Recent improvements to observational data, our understanding of the main contributing processes to sea-level change and methods for estimating the individual contributions, mean another attempt at reconciliation is warranted. Here we present a probabilistic framework to reconstruct sea level since 1900 using independent observations and their inherent uncertainties. The sum of the contributions to sea-level change from thermal expansion of the ocean, ice-mass loss and changes in terrestrial water storage is consistent with the trends and multidecadal variability in observed sea level on both global and basin scales, which we reconstruct from tide-gauge records. Ice-mass loss—predominantly from glaciers—has caused twice as much sea-level rise since 1900 as has thermal expansion. Mass loss from glaciers and the Greenland Ice Sheet explains the high rates of global sea-level rise during the 1940s, while a sharp increase in water impoundment by artificial reservoirs is the main cause of the lower-than-average rates during the 1970s. The acceleration in sea-level rise since the 1970s is caused by the combination of thermal expansion of the ocean and increased ice-mass loss from Greenland. Our results reconcile the magnitude of observed global-mean sea-level rise since 1900 with estimates based on the underlying processes, implying that no additional processes are required to explain the observed changes in sea level since 1900.
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The resulting global and basin-scale reconstructions, the time series of global and basin sea-level changes and its contributors, grids with local sea-level and solid-Earth deformation due to contemporary GRD effects, and the individual ensemble members are available at https://doi.org/10.5281/zenodo.3862995.
The codes to compute the ensemble of observed sea-level changes and contributing processes, and the post-processing routines to compute statistics and to generate the figures are available at https://github.com/thomasfrederikse/sealevelbudget_20c.
Oppenheimer, M. et al. in IPCC Special Report on the Ocean and Cryosphere in a Changing Climate (eds Pörtner, H.-O. et al.) Ch.4 (in the press).
Moore, J., Jevrejeva, S. & Grinsted, A. The historical global sea-level budget. Ann. Glaciol. 52, 8–14 (2011).
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).
Hay, C. C., Morrow, E., Kopp, R. E. & Mitrovica, J. X. Probabilistic reanalysis of twentieth-century sea-level rise. Nature 517, 481–484 (2015); erratum 552, 278 (2017).
Dangendorf, S. et al. Persistent acceleration in global sea-level rise since the 1960s. Nat. Clim. Change 9, 705–710 (2019).
Chambers, D. P., Merrifield, M. A. & Nerem, R. S. Is there a 60-year oscillation in global mean sea level? Geophys. Res. Lett. 39, L18607 (2012).
Munk, W. Twentieth century sea level: an enigma. Proc. Natl Acad. Sci. USA 99, 6550–6555 (2002).
Church, J. A. et al. Revisiting the Earth’s sea-level and energy budgets from 1961 to 2008. Geophys. Res. Lett. 38, L18601 (2011); erratum 40, 4066 (2013).
Frederikse, T., Jevrejeva, S., Riva, R. E. M. & Dangendorf, S. A consistent sea-level reconstruction and its budget on basin and global scales over 1958–2014. J. Clim. 31, 1267–1280 (2018).
WCRP Global Sea Level Budget Group. Global sea-level budget 1993–present. Earth Syst. Sci. Data 10, 1551–1590 (2018).
Cabanes, C. Sea level rise during past 40 years determined from satellite and in situ observations. Science 294, 840–842 (2001).
Miller, L. & Douglas, B. C. Mass and volume contributions to twentieth-century global sea level rise. Nature 428, 406–409 (2004).
Jevrejeva, S., Matthews, A. & Slangen, A. The twentieth-century sea level budget: recent progress and challenges. Surv. Geophys. 38, 295–307 (2017).
Kjeldsen, K. K. et al. Spatial and temporal distribution of mass loss from the Greenland Ice Sheet since ad 1900. Nature 528, 396–400 (2015).
Zanna, L., Khatiwala, S., Gregory, J. M., Ison, J. & Heimbach, P. Global reconstruction of historical ocean heat storage and transport. Proc. Natl Acad. Sci. USA 116, 1126–1131 (2019).
Parkes, D. & Marzeion, B. Twentieth-century contribution to sea-level rise from uncharted glaciers. Nature 563, 551–554 (2018).
Humphrey, V. & Gudmundsson, L. GRACE-REC: a reconstruction of climate-driven water storage changes over the last century. Earth Syst. Sci. Data 11, 1153–1170 (2019).
Marzeion, B., Leclercq, P. W., Cogley, J. G. & Jarosch, A. H. Brief Communication: Global reconstructions of glacier mass change during the 20th century are consistent. Cryosphere 9, 2399–2404 (2015).
Cheng, L., Abraham, J., Hausfather, Z. & Trenberth, K. E. How fast are the oceans warming? Science 363, 128–129 (2019).
Dangendorf, S. et al. Reassessment of 20th century global mean sea level rise. Proc. Natl Acad. Sci. USA 114, 5946–5951 (2017).
Zemp, M. et al. Global glacier mass changes and their contributions to sea-level rise from 1961 to 2016. Nature 568, 382–386 (2019); erratum 577, E9 (2020).
Adhikari, S. et al. What drives 20th century polar motion? Earth Planet. Sci. Lett. 502, 126–132 (2018).
The IMBIE team. Mass balance of the Antarctic Ice Sheet from 1992 to 2017. Nature 558, 219–222 (2018).
Bamber, J. L., Westaway, R. M., Marzeion, B. & Wouters, B. The land ice contribution to sea level during the satellite era. Environ. Res. Lett. 13, 063008 (2018); corrigendum 13, 099502 (2018).
Mouginot, J. et al. Forty-six years of Greenland Ice Sheet mass balance from 1972 to 2018. Proc. Natl Acad. Sci. USA 116, 9239–9244 (2019).
Chao, B. F., Wu, Y. H. & Li, Y. S. Impact of artificial reservoir water impoundment on global sea level. Science 320, 212–214 (2008).
Döll, P., Müller Schmied, H., Schuh, C., Portmann, F. T. & Eicker, A. Global-scale assessment of groundwater depletion and related groundwater abstractions: combining hydrological modeling with information from well observations and GRACE satellites. Wat. Resour. Res. 50, 5698–5720 (2014).
Wada, Y. et al. Fate of water pumped from underground and contributions to sea-level rise. Nat. Clim. Change 6, 777–780 (2016).
Watkins, M. M., Wiese, D. N., Yuan, D.-N., Boening, C. & Landerer, F. W. Improved methods for observing Earth’s time variable mass distribution with GRACE using spherical cap mascons. J. Geophys. Res. Solid Earth 120, 2648–2671 (2015).
Levitus, S. et al. World ocean heat content and thermosteric sea level change (0–2000 m), 1955–2010. Geophys. Res. Lett. 39, L10603 (2012).
Ishii, M. et al. Accuracy of global upper ocean heat content estimation expected from present observational data sets. Sci. Online Lett. Atmos. 13, 163–167 (2017).
Cheng, L. & Zhu, J. Benefits of CMIP5 multimodel ensemble in reconstructing historical ocean subsurface temperature variations. J. Clim. 29, 5393–5416 (2016).
Thompson, P. R., Hamlington, B. D., Landerer, F. W. & Adhikari, S. Are long tide gauge records in the wrong place to measure global mean sea level rise? Geophys. Res. Lett. 43, 10403–10411 (2016).
Beckley, B. D., Callahan, P. S., Hancock, D. W., Mitchum, G. T. & Ray, R. D. On the “cal-mode” correction to TOPEX satellite altimetry and its effect on the global mean sea level time series. J. Geophys. Res. Oceans 122, 8371–8384 (2017).
Gregory, J. M. et al. Concepts and terminology for sea level: mean, variability and change, both local and global. Surv. Geophys. 40, 1251–1289 (2019).
Durack, P. J., Wijffels, S. E. & Gleckler, P. J. Long-term sea-level change revisited: the role of salinity. Environ. Res. Lett. 9, 114017 (2014).
Mengel, M. et al. Future sea level rise constrained by observations and long-term commitment. Proc. Natl Acad. Sci. USA 113, 2597–2602 (2016).
Thompson, P. R. & Merrifield, M. A. A unique asymmetry in the pattern of recent sea level change. Geophys. Res. Lett. 41, 7675–7683 (2014).
Tamisiea, M. E. Ongoing glacial isostatic contributions to observations of sea level change. Geophys. J. Int. 186, 1036–1044 (2011).
Melini, D. & Spada, G. Some remarks on glacial isostatic adjustment modelling uncertainties. Geophys. J. Int. 218, 401–413 (2019).
Caron, L. et al. GIA model statistics for GRACE hydrology, cryosphere, and ocean science. Geophys. Res. Lett. 45, 2203–2212 (2018).
Peltier, W. R., Argus, D. F. & Drummond, R. Comment on “An assessment of the ICE-6G_C (VM5a) glacial isostatic adjustment model” by Purcell et al. J. Geophys. Res. Solid Earth 123, 2019–2028 (2018).
Wiese, D. N., Landerer, F. W. & Watkins, M. M. Quantifying and reducing leakage errors in the JPL RL05M GRACE mascon solution. Wat. Resour. Res. 52, 7490–7502 (2016).
Loomis, B. D., Rachlin, K. E., Wiese, D. N., Landerer, F. W. & Luthcke, S. B. Replacing GRACE/GRACE-FO C 30 with satellite laser ranging: impacts on Antarctic Ice Sheet mass change. Geophys. Res. Lett. 47, e2019GL085488 (2020).
Frederikse, T., Landerer, F. W. & Caron, L. The imprints of contemporary mass redistribution on local sea level and vertical land motion observations. Solid Earth 10, 1971–1987 (2019).
Pfeffer, W. T. et al. The Randolph Glacier Inventory: a globally complete inventory of glaciers. J. Glaciol. 60, 537–552 (2014).
Marzeion, B., Jarosch, A. H. & Hofer, M. Past and future sea-level change from the surface mass balance of glaciers. Cryosphere 6, 1295–1322 (2012).
Gardner, A. S. et al. A reconciled estimate of glacier contributions to sea level rise: 2003 to 2009. Science 340, 852–857 (2013).
Cook, A. J., Fox, A. J., Vaughan, D. G. & Ferrigno, J. G. Retreating glacier fronts on the Antarctic peninsula over the past half-century. Science 308, 541–544 (2005).
Smith, J. A. et al. Sub-ice-shelf sediments record history of twentieth-century retreat of Pine Island Glacier. Nature 541, 77–80 (2017).
Lehner, B. et al. High-resolution mapping of the world’s reservoirs and dams for sustainable river-flow management. Front. Ecol. Environ. 9, 494–502 (2011).
Lettenmaier, D. P. & Milly, P. C. D. Land waters and sea level. Nat. Geosci. 2, 452–454 (2009).
Wada, Y. et al. Past and future contribution of global groundwater depletion to sea-level rise. Geophys. Res. Lett. 39, L09402 (2012).
Wada, Y. et al. Recent changes in land water storage and its contribution to sea level variations. Surv. Geophys. 38, 131–152 (2017).
Tamisiea, M. E. et al. Impact of self-attraction and loading on the annual cycle in sea level. J. Geophys. Res. 115, C07004 (2010).
Adhikari, S., Ivins, E. R., Frederikse, T., Landerer, F. W. & Caron, L. Sea-level fingerprints emergent from GRACE mission data. Earth Syst. Sci. Data 11, 629–646 (2019).
Schaeffer, N. Efficient spherical harmonic transforms aimed at pseudospectral numerical simulations. Geochem. Geophys. Geosyst. 14, 751–758 (2013).
Milne, G. A. & Mitrovica, J. X. Postglacial sea-level change on a rotating Earth. Geophys. J. Int. 133, 1–19 (1998).
Wang, H. et al. Load Love numbers and Green’s functions for elastic Earth models PREM, iasp91, ak135, and modified models with refined crustal structure from Crust 2.0. Comput. Geosci. 49, 190–199 (2012).
Dziewonski, A. M. & Anderson, D. L. Preliminary reference Earth model. Phys. Earth Planet. Inter. 25, 297–356 (1981).
McDougall, T. J. & Barker, P. M. Getting Started with TEOS-10 and the Gibbs Seawater (GSW) Oceanographic Toolbox (SCOR/IAPSO WG127, 2011).
Cheng, L. et al. Improved estimates of ocean heat content from 1960 to 2015. Sci. Adv. 3, e1601545 (2017).
Roemmich, D. et al. On the future of Argo: a global, full-depth, multi-disciplinary array. Front. Mar. Sci. 6, 439 (2019).
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).
Permanent Service for Mean Sea Level (PSMSL). Tide Gauge Data (retrieved 29 April 2019); http://www.psmsl.org/data/obtaining/.
Hogarth, P. Preliminary analysis of acceleration of sea level rise through the twentieth century using extended tide gauge data sets (August 2014). J. Geophys. Res. Oceans 119, 7645–7659 (2014).
Woodworth, P. L. A note on the nodal tide in sea level records. J. Coast. Res. 280, 316–323 (2012).
Poli, P. et al. ERA-20C: an atmospheric reanalysis of the twentieth century. J. Clim. 29, 4083–4097 (2016).
Copernicus Climate Change Service (C3S). ERA5: Fifth Generation of ECMWF Atmospheric Reanalyses of the Global Climate (2019); https://doi.org/10.24381/cds.f17050d7.
Frederikse, T. & Gerkema, T. Multi-decadal variability in seasonal mean sea level along the North Sea coast. Ocean Sci. 14, 1491–1501 (2018).
Wöppelmann, G. & Marcos, M. Vertical land motion as a key to understanding sea level change and variability. Rev. Geophys. 54, 64–92 (2016).
Wöppelmann, G. et al. Evidence for a differential sea level rise between hemispheres over the twentieth century. Geophys. Res. Lett. 41, 1639–1643 (2014).
Kleinherenbrink, M., Riva, R. & Frederikse, T. A comparison of methods to estimate vertical land motion trends from GNSS and altimetry at tide gauge stations. Ocean Sci. 14, 187–204 (2018).
Blewitt, G., Hammond, W. & Kreemer, C. Harnessing the GPS data explosion for interdisciplinary science. Eos 99, https://doi.org/10.1029/2018EO104623 (2018).
Blewitt, G., Kreemer, C., Hammond, W. C. & Gazeaux, J. MIDAS robust trend estimator for accurate GPS station velocities without step detection. J. Geophys. Res. Solid Earth 121, 2054–2068 (2016).
Zlotnicki, V., Qu, Z. & Willis, J. MEaSUREs Gridded Sea Surface Height Anomalies Version 1812 (PODAAC, 2019); https://doi.org/10.5067/SLREF-CDRV2.
Bos, M. S., Fernandes, R. M. S., Williams, S. D. P. & Bastos, L. Fast error analysis of continuous GNSS observations with missing data. J. Geod. 87, 351–360 (2013).
Jevrejeva, S., Moore, J., Grinsted, A., Matthews, A. & Spada, G. Trends and acceleration in global and regional sea levels since 1807. Global Planet. Change 113, 11–22 (2014).
Church, J. A. & White, N. J. Sea-level rise from the late 19th to the early 21st century. Surv. Geophys. 32, 585–602 (2011).
Church, J. 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. et al.) Ch. 13, 1137–1216 (Cambridge Univ. Press, 2013).
Frederikse, T., Riva, R. E. M. & King, M. A. Ocean bottom deformation due to present-day mass redistribution and its impact on sea level observations. Geophys. Res. Lett. 44, 12306–12314 (2017).
Langbein, J. Noise in two-color electronic distance meter measurements revisited. J. Geophys. Res. Solid Earth 109, B04406 (2004).
All figures were made using Generic Mapping Tools (GMT). Parts of this research (T.F., F.L., S.A., L. Caron) were conducted at the Jet Propulsion Laboratory, which is operated for NASA under contract with the California Institute of Technology. S.D. acknowledges the University of Siegen for funding a research stay at JPL. L. Cheng is supported by National Key R&D Program of China (2017YFA0603200).
The authors declare no competing interests.
Peer review information Nature thanks Benoît Meyssignac and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Extended data figures and tables
Extended Data Fig. 1 Schematic overview of the computation of reconstructed sea level and the contributors.
Steps with a shaded background involve steps where each ensemble member is perturbed: for steps shown in bold, the estimate is drawn from a probability density function; for steps in italic, the estimate is randomly chosen from a pool of estimates. All the steps are repeated for each of the 5,000 ensemble members, until the final step, where all ensemble members are combined to estimate the mean and confidence interval of the global-mean and basin-mean sea-level budget and its components. Steps and arrows in orange refer to estimates of steric sea level, red refers to estimates of ocean mass, dark blue refers to GIA, light blue refers to tide-gauge observations, yellow refers to VLM, turquoise refers to satellite altimetry, and purple refers to the budget analysis. The global-mean steric reconstruction for 1900–2018 is from ref. 15.
All panels show observed GMSL and the sum of contributors from this study and other recent GMSL reconstructions4,5,8,20. a, Annual time series and their 90% confidence intervals. b, 30-year-average rates of the GMSL reconstructions. c, Linear trends over the time intervals indicated. The shaded regions denote the 90% confidence interval. The values are relative to the 2002–2018 mean.
a, The ocean basins (shading) and the regions (symbols) that belong to each basin. The shape of the region symbols denotes how the station is corrected for VLM; the size denotes the number of years for which the region provides data. The percentages in the legend show the relative size of the basin as a fraction of the sum of all basins. Each region consists of one tide-gauge station or multiple stations within a 10-km radius. b, The number of regions that provide data in a given year for each basin.
Extended Data Fig. 4 Linear trends in regional RSL due to ocean-mass changes, GIA and steric changes over three periods.
a, c, e, Local RSL trends due to contemporary GRD effects, for 1900–2018 (a), 1957–2018 (c) and 1993–2018 (e). b, RSL changes due to GIA. d, f, Local steric sea-level changes over 1957–2018 (d) and 1993–2018 (f). All trends show the ensemble-mean values. The colour scale varies between panels.
Extended Data Fig. 6 Central values of individual estimates and our composite final estimate of each barystatic contributor.
a, The glacier estimates; data from this study and refs. 16,18,21. M&D, missing and disappeared glaciers (as determined by ref. 16). b, The Greenland Ice Sheet estimates; data from refs. 14,18,21,24,25. GP, contribution from Greenland peripheral glaciers. c, The Antarctic Ice Sheet estimates; data from refs. 23,24. d, The TWS estimates; data from refs. 17,26,27,28,53. All estimates are shown relative to the average height over 2003–2005. The inset in each panel shows all the estimates over 2002–2018. Shaded areas indicate 90% confidence intervals.
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Frederikse, T., Landerer, F., Caron, L. et al. The causes of sea-level rise since 1900. Nature 584, 393–397 (2020). https://doi.org/10.1038/s41586-020-2591-3