Articles | Volume 9, issue 3
https://doi.org/10.5194/se-9-777-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-9-777-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
15 Jun 2018
Research article |
| 15 Jun 2018
| 15 Jun 2018
The glacial isostatic adjustment signal at present day in northern Europe and the British Isles estimated from geodetic observations and geophysical models
Delft University of Technology, Department of Geoscience and
Remote Sensing, Stevinweg 1, 2628 CN Delft, the Netherlands
Riccardo E. M. Riva
Delft University of Technology, Department of Geoscience and
Remote Sensing, Stevinweg 1, 2628 CN Delft, the Netherlands
Marcel Kleinherenbrink
Delft University of Technology, Department of Geoscience and
Remote Sensing, Stevinweg 1, 2628 CN Delft, the Netherlands
Thomas Frederikse
Delft University of Technology, Department of Geoscience and
Remote Sensing, Stevinweg 1, 2628 CN Delft, the Netherlands
Utrecht University, Institute for Marine and Atmospheric
Research, Princetonplein 5, 3584 CC Utrecht, the Netherlands
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Christine Masson, Stephane Mazzotti, and Philippe Vernant
Solid Earth, 10, 329–342, https://doi.org/10.5194/se-10-329-2019, https://doi.org/10.5194/se-10-329-2019, 2019
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Sergei Rudenko, Saskia Esselborn, Tilo Schöne, and Denise Dettmering
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A terrestrial reference frame (TRF) realization is a basis for precise orbit determination of Earth-orbiting artificial satellites and sea level studies. We investigate the impact of a switch from an older TRF realization (ITRF2008) to a new one (ITRF2014) on the quality of orbits of three altimetry satellites (TOPEX/Poseidon, Jason-1, and Jason-2) for 1992–2015, but especially from 2009 onwards, and on altimetry products computed using the satellite orbits derived using ITRF2014.
Cited articles
Altamimi, Z., Collilieux, X., and Métivier, L.: ITRF2008: an improved solution of the international terrestrial reference frame, J. Geodesy., 85, 457–473, https://doi.org/10.1007/s00190-011-0444-4, 2011.
Argus, D. F., Peltier, W. R., Drummond, R., and Moore, A. W.: The Antarctica component of postglacial rebound model ICE-6G_C (VM5a) based on GPS positioning, exposure age dating of ice thicknesses, and relative sea level histories, Geophys. J. Int., 198, 537–563, https://doi.org/10.1093/gji/ggu140, 2014.
Auriac, A., Whitehouse, P. L., Bentley, M. J., Patton, H., Lloyd, J. M., and Hubbard, A.: Glacial isostatic adjustment associated with the Barents Sea ice sheet: A modelling inter-comparison, Quaternary Sci. Rev., 147, 122–135, https://doi.org/10.1016/j.quascirev.2016.02.011, 2016.
Blewitt, G., Kreemer, C., Hammond, W. C., and Gazeaux, J.: MIDAS robust trend estimator for accurate GPS station velocities without step detection, J. Geophys. Res.-Sol. Ea., 121, 2054–2068, https://doi.org/10.1002/2015JB012552, 2016.
Bradley, S. L., Milne, G. A., Shennan, I., and Edwards, R.: An improved glacial isostatic adjustment model for the British Isles, J. Quaternary Sci., 26, 541–552, https://doi.org/10.1002/jqs.1481, 2011.
Chao, B. F., Wu, Y. H., and Li, Y. S.: Impact of artificial reservoir water impoundment on global sea level, Science, 320, 212–214, https://doi.org/10.1126/science.1154580, 2008.
Cheng, M. K., Tapley, B. D., and Ries, J. C.: Deceleration in the Earth's oblateness, J. Geophys. Res., 118, 740–747, https://doi.org/10.1002/jgrb.50058, 2013.
Dziewonski, A. M. and Anderson, D. L.: Preliminary reference Earth model, Phys. Earth Planet. In., 25, 297–356, 1981.
Farrell, W. E.: Deformation of the Earth by surface loads, Rev. Geophys. Space Ge., 10, 761–797, 1972.
Frederikse, T., Riva, R., Kleinherenbrink, M., Wada, Y., van den Broeke, M., and Marzeion, B.: Closing the sea level budget on a regional scale: Trends and variability on the Northwestern European continental shelf, Geophys. Res. Lett., 43, 10864–10872, https://doi.org/10.1002/2016GL070750, 2016.
Gardner, A. S., Moholdt, G., Cogley, J. G., Wouters, B., Arendt, A. A., Wahr, J., Berthier, E., Hock, R., Pfeffer, W. T., Kaser, G., Ligtenberg, S. R. M., Bolch, T., Sharp, M. J., Hagen, J. O., van den Broeke, M. R., and Paul, F.: A reconciled estimate of glacier contributions to sea level rise: 2003 to 2009, Science, 340, 852–857, https://doi.org/10.1126/science.1234532, 2013.
Gunter, B. C., Didova, O., Riva, R. E. M., Ligtenberg, S. R. M., Lenaerts, J. T. M., King, M. A., van den Broeke, M. R., and Urban, T.: Empirical estimation of present-day Antarctic glacial isostatic adjustment and ice mass change, The Cryosphere, 8, 743–760, https://doi.org/10.5194/tc-8-743-2014, 2014.
Herring, T., King, R., and McClusky, S.: Introduction to GAMIT/GLOBK release 10.4, Technical Report, Massachusetts Institute of Technology, Cambridge, USA, 2011.
Hill, E. M., Davis, J. L., Tamisiea, M. E., and Lidberg, M.: Combination of geodetic observations and models for glacial isostatic adjustment fields in Fennoscandia, J. Geophys. Res., 115, B07403, https://doi.org/10.1029/2009JB006967, 2010.
Hughes, A. L. C., Gyllencreutz, R., Lohne, Ø. S., Mangerud, J., and Svendsen, J. I.: The last Eurasian ice sheets – a chronological database and time-slice reconstruction, DATED-1, Boreas, 45, 1–45, https://doi.org/10.1111/bor.12142, 2016.
Jin, S., Zhang, T. Y., and Zou, F.: Glacial density and GIA in Alaska estimated from ICESat, GPS and GRACE measurements, J. Geophys. Res., 122, 76–90, https://doi.org/10.1002/2016JF003926, 2016.
Kierulf, H. P., Steffen, H., Simpson, M. J. R., Lidberg, M., Wu, P., and Wang, H.: A GPS velocity field for Fennoscandia and a consistent comparison to glacial isostatic adjustment models, J. Geophys. Res., 119, 6613–6629, https://doi.org/10.1002/2013JB010889, 2014.
Klees, R., Revtova, E. A., Gunter, B. C., Ditmar, P., Oudman, E., Winsemius, H. C., and Savenije, H. H. G.: The design of an optimal filter for monthly GRACE gravity models, Geophys. J. Int., 175, 417–432, https://doi.org/10.1111/j.1365-246X.2008.03922.x, 2008.
Kooi, H., Johnston, P., Lambeck, K., Smither, C., Molendijk, R.: Geological causes of recent ( ∼ 100 yr) vertical land movement in the Netherlands, Tectonophysics, 299, 297–316, 1998.
Kuchar, J., Milne, G., Hubbard, A., Patton, H., Bradley, S., Shennan, I., and Edwards, R.: Evaluation of a numerical model of the British–Irish ice sheet using relative sea-level data: implications for the interpretation of trimline observations, J. Quaternary Sci., 27, 597–605, https://doi.org/10.1002/jqs.2552, 2012.
Lambeck, K., Smither, C., and Johnston, P.:Sea-level change, glacial rebound and mantle viscosity for northern Europe, Geophys. J. Int., 177, 102–144, 1998.
Lambeck, K., Purcell, A., Zhao, J., and Svensson, N.-O.: The Scandinavian ice sheet: from MIS 4 to the end of the last glacial maximum, Boreas, 39, 410–435, https://doi.org/10.1111/j.1502-3885.2010.00140.x, 2010.
Lidberg, M., Johansson, J. M., Scherneck, H.-G., and Milne, G. A.: Recent results based on continuous GPS observations of the GIA process in Fennoscandia from BIFROST, J. Geodyn., 50, 8–18, https://doi.org/10.1016/j.jog.2009.11.010, 2010.
Marzeion, B., Jarosch, A. H., and Hofer, M.: Past and future sea-level change from the surface mass balance of glaciers, The Cryosphere, 6, 1295–1322, https://doi.org/10.5194/tc-6-1295-2012, 2012.
Marzeion, B., Leclercq, P. W., Cogley, J. G., and Jarosch, A. H.: Brief Communication: Global reconstructions of glacier mass change during the 20th century are consistent, The Cryosphere, 9, 2399–2404, https://doi.org/10.5194/tc-9-2399-2015, 2015.
Mémin, A., Spada, G., Boy, J.-P., Rogister, Y., and Hinderer, J.: Decadal geodetic variations in Ny-Ålesund (Svalbard): role of past and present ice-mass changes, Geophys. J. Int., 198, 285–297, https://doi.org/10.1093/gji/ggu134, 2014.
Milne, G. A., Davis, J. L, Mitrovica, J. X., Scherneck, H.-G., Johansson, J. M., Vermeer, M., and Koivula, H.: Space-geodetic constraints on glacial isostatic adjustment in Fennoscandia, Science, 291, 2381–2385, 2001.
Müller, J., Naeimi, M., Gitlein, O., Timmen, L., and Denker, H.: A land uplift model in Fennoscandia combining GRACE and absolute gravimetry data, Phys. Chem. Earth, 53–54, 54–60, https://doi.org/10.1016/j.pce.2010.12.006, 2012.
Noël, B., van de Berg, W. J., van Meijgaard, E., Kuipers Munneke, P., van de Wal, R. S. W., and van den Broeke, M. R.: Evaluation of the updated regional climate model RACMO2.3: summer snowfall impact on the Greenland Ice Sheet, The Cryosphere, 9, 1831–1844, https://doi.org/10.5194/tc-9-1831-2015, 2015.
Patton, H., Hubbard, A., Andreassen, K., Auriac, A., Whitehouse, P. L., Stroeven, A. P., Shackleton, C., Winsborrow, M., Heyman, J., and Hall, A. M.: Deglaciation of the Eurasian ice sheet complex, Quaternary Sci. Rev., 169, 148–172, https://doi.org/10.1016/j.quascirev.2017.05.019, 2017.
Peltier, W. R.: Postglacial variations in the level of the sea: implications for climate dynamics and solid Earth geophysics, Rev. Geophys., 36, 603–689, 1998.
Peltier, W. R.: Global glacial isostasy and the surface of the ice-age Earth: The ICE-5G (VM2) model and GRACE, Annu. Rev. Earth Pl. Sc., 32, 111–149, https://doi.org/10.1146/annurev.earth.32.082503.144359, 2004.
Peltier, W. R. and Andrews, J. T.: Glacial-isostatic adjustment I – The forward problem, Geophys. J. Roy. Astr. S., 46, 605–646, 1976.
Peltier, W. R., Argus, D. F., and Drummond, R.: Space geodesy constrains ice age terminal deglaciation: The global ICE-6G_C (VM5a) model, J. Geophys. Res., 119, 450–487, https://doi.org/10.1002/2014JB011176, 2015.
Riva, R. E. M., Gunter, B. C., Urban, T. J., Vermeersen, B. L. A., Lindenbergh, R. C., Helsen, M. M., Bamber, J. L., van de Wal, R. S. W., van den Broeke, M. R., and Schutz, B. E.: Glacial isostatic adjustment over Antarctica from combined ICESat and GRACE satellite data, Earth Planet. Sc. Lett., 288, 516–523, https://doi.org/10.1016/j.epsl.2009.10.013, 2009.
Riva, R. E. M., Frederikse, T., King, M. A., Marzeion, B., and van den Broeke, M. R.: Brief communication: The global signature of post-1900 land ice wastage on vertical land motion, The Cryosphere, 11, 1327–1332, https://doi.org/10.5194/tc-11-1327-2017, 2017.
Root, B. C., Tarasov, L., and van der Wal, W.: GRACE gravity observations constrain Weichselian ice thickness in the Barents Sea, Geophys. Res. Lett., 42, 3313–3320, https://doi.org/10.1002/2015GL063769, 2015.
Sasgen, I., Klemann, V., and Martinec, Z.: Towards the inversion of GRACE gravity fields for present-day ice-mass changes and glacial-isostatic adjustment in North America and Greenland, J. Geodyn., 59, 49–63, https://doi.org/10.1016/j.jog.2012.03.004, 2012.
Schmidt, P., Lund, B., Näslund, J.-O., and Fastook, J.: Comparing a thermo-mechanical Weichselian Ice Sheet reconstruction to reconstructions based on the sea level equation: aspects of ice configurations and glacial isostatic adjustment, Solid Earth, 5, 371–388, https://doi.org/10.5194/se-5-371-2014, 2014.
Schrama, E. J. O., Wouters, B., and Rietbroek, R.: A mascon approach to assess ice sheet and glacier mass balances and their uncertainties from GRACE data, J. Geophys. Res., 119, 6048–6066, https://doi.org/10.1002/2013JB010923, 2014.
Shepherd, A., Ivins, E. R., A, G., et al.: A reconciled estimate of ice-sheet mass balance, Science, 338, 1183–1189, https://doi.org/10.1126/science.1228102, 2012.
Siemes, C., Ditmar, P., Riva, R. E. M., Slobbe, D. C., Liu, X. L., and Hashemi Farahani, H.: Estimation of mass change trends in the Earth's system on the basis of GRACE satellite data, with application to Greenland, J. Geodesy., 87, 69–87, https://doi.org/10.1007/s00190-012-0580-5, 2013.
Simon, K. M., James, T. S., and Dyke, A. S.: A new glacial isostatic adjustment model of the Innuitian Ice Sheet, Arctic Canada, Quaternary Sci. Rev., 119, 11–21, https://doi.org/10.1016/j.quascirev.2015.04.007, 2015.
Simon, K. M., James, T. S., Henton, J. A., and Dyke, A. S.: A glacial isostatic adjustment model for the central and northern Laurentide Ice Sheet based on relative sea-level and GPS measurements, Geophys. J. Int., 205, 1618–1636, https://doi.org/10.1093/gji/ggw103, 2016.
Simon, K. M., Riva, R. E. M., Kleinherenbrink, M., and Tangdamrongsub, N.: A data-driven model for constraint of present-day glacial isostatic adjustment in North America, Earth Planet. Sc. Lett., 474, 322–333, https://doi.org/10.1016/j.epsl.2017.06.046, 2017.
Simon, K. M., Riva, R. E. M., Kleinherenbrink, M., and Frederikse, T.: The glacial isostatic adjustment signal at present-day in northern Europe and the British Isles estimated from geodetic observations and geophysical models, TU Delft, Dataset, https://doi.org/10.4121/uuid:4a495bbc-0478-483a-baef-19ff34103dd2, 2018.
Steffen, H. and Wu, P.: Glacial isostatic adjustment in Fennoscandia - a review of data and modeling, J. Geodyn., 52, 169–204, https://doi.org/10.1016/j.jog.2011.03.002, 2011.
Steffen, H., Wu, P., and Wang, H.: Determination of the Earth's structure in Fennoscandia from GRACE and implications for the optimal post-processing of GRACE data, Geophys. J. Int., 182, 1295–1310, https://doi.org/10.1111/j.1365-246X.2010.04718.x, 2010.
Tamisiea, M. E.: Ongoing glacial isostatic contributions to observations of sea level change, Geophys. J. Int., 186, 1036–1044, https://doi.org/10.1111/j.1365-246X.2011.05116.x, 2011.
van den Broeke, M. R., Enderlin, E. M., Howat, I. M., Kuipers Munneke, P., Noël, B. P. Y., van de Berg, W. J., van Meijgaard, E., and Wouters, B.: On the recent contribution of the Greenland ice sheet to sea level change, The Cryosphere, 10, 1933–1946, https://doi.org/10.5194/tc-10-1933-2016, 2016.
Vestøl, O., Ågren, J., Steffen, H., Kierulf, H., Lidberg, M., Oja, T., Rüdja, A., Kall, T., Saaranen, V., Engsager, K., Jepsen, C., Liepins, I., Paršeliūnas, E., and Tarasov, L.: NKG2016LU, an improved postglacial land uplift model over the Nordic-Baltic region, Nordic Geodetic Commission (NKG) Working Group of Geoid and Height Systems, available at: http://www.lantmateriet.se/sv/Kartor-och-geografisk-information/GPS-och-geodetisk-matning/Referenssystem/Landhojning/ (last access: 1 June 2018), 2016.
Wada, Y., Wisser, D., and Bierkens, M. F. P.: Global modeling of withdrawal, allocation and consumptive use of surface water and groundwater resources, Earth Syst. Dynam., 5, 15–40, https://doi.org/10.5194/esd-5-15-2014, 2014.
van Wessem, J. M., Ligtenberg, S. R. M., Reijmer, C. H., van de Berg, W. J., van den Broeke, M. R., Barrand, N. E., Thomas, E. R., Turner, J., Wuite, J., Scambos, T. A., and van Meijgaard, E.: The modelled surface mass balance of the Antarctic Peninsula at 5.5 km horizontal resolution, The Cryosphere, 10, 271–285, https://doi.org/10.5194/tc-10-271-2016, 2016.
Wu, P. and Peltier, W. R.: Viscous gravitational relaxation, Geophys. J. Roy. Astr. S., 70, 435–485, 1982.
Zhao, S., Lambeck, K., and Lidberg, M.: Lithosphere thickness and mantle viscosity inverted from GPS-derived deformation rates in Fennoscandia, Geophys. J. Int., 190, 278–292, https://doi.org/10.1111/j.1365-246X.2012.05454.x, 2012.
Short summary
This study constrains the post-glacial rebound signal in Scandinavia and northern Europe via the combined inversion of prior forward model information with GPS-measured vertical land motion data and GRACE gravity data. The best-fit model for vertical motion rates has a χ2 value of ~ 1 and a maximum uncertainty of 0.3–0.4 mm yr−1. An advantage of inverse models relative to forward models is their ability to estimate formal uncertainties associated with the post-glacial rebound process.
This study constrains the post-glacial rebound signal in Scandinavia and northern Europe via the...
