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Analysing Five Years of GRACE Equivalent Water Height Variations Using the Principal Component Analysis

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Gravity, Geoid and Earth Observation

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 135))

Abstract

In this study we use 59 monthly solutions (April 2002–May 2007) of the Earth’s gravity field obtained from the Gravity Recovery and Climate Experiment (GRACE) satellite mission, expressed in equivalent water height (EWH). The GRACE-derived EWH values are analysed first in terms of the secular trend and RMS-variability before applying the statistically-based Principal Component Analysis (PCA), in order to obtain the most dominant spatial and temporal variations. On a global scale, we show that only 5 modes can express more than 80% of the total variability, including all major hydrological, cryospheric and post-glacial rebound signals. As expected, globally, the most dominant temporal variation is an annual signal followed by a secular trend. Apart from these well-known signals, we show that the PCA is able to reveal other periodic and a-periodic signals.

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References

  • Anderson, O.B. and J Hinderer (2005). Global inter-annual gravity changes from GRACE: early results. Geophys. Res. Let., 32, L01402.

    Google Scholar 

  • Anjasmara, I.M. (2008). Spatio-temporal analysis of GRACE gravity field variations using the Principal Component Analysis. Master Thesis, Curtin University of Technology, Perth, Australia.

    Google Scholar 

  • Banerjee, P. et al. (2005). The size and duration of the Sumatra-Andaman Earthquake from far-field static offsets. Science, 308, 1769–1772.

    Article  Google Scholar 

  • Chen J.L. et al. (2006a). Alaskan mountain glacial melting observed by satellite gravimetry. Earth Planet. Sci. Lett., 248, 368–378.

    Article  Google Scholar 

  • Chen J.L. et al. (2006b). Satellite gravity measurements confirm accelerated melting of Greenland ice sheet. Science, 313, 1958–1960.

    Article  Google Scholar 

  • Chen J.L. et al. (2006c). Antarctic mass rates from GRACE. Geophys. Res. Lett., 33, L11502.

    Google Scholar 

  • de Viron, O.D. et al. (2006). Extracting low frequency climate signal from GRACE data. eEarth, 1, 9–14.

    Article  Google Scholar 

  • Ekman, M. and J. Makinen (1996). Recent postglacial rebound, gravity change and mantle flow in Fennoscandia. Geophys. J. Int., 126(1), 229–234.

    Article  Google Scholar 

  • Hinderer, J. et al. (2006). Seasonal changes in the European gravity field from GRACE: A comparison with superconducting gravimeters and hydrology model predictions. J. Geodyn., 41(1–3), 59–68.

    Article  Google Scholar 

  • Jolliffe, I.T. (2002). Principal component analysis. Springer series in statistics, 2nd ed., Springer, New York.

    Google Scholar 

  • Kuhn, M. et al. (2005). Low-frequency variations of the North Atlantic sea level measured by TOPEX/Poseidon altimetry. Marine Geod 28, 19–37.

    Article  Google Scholar 

  • Luthcke S.B. et al. (2006). Recent Greenland ice mass loss by drainage system from satellite gravity observations. Science, 314, 1286–1289.

    Article  Google Scholar 

  • Nerem, R.S. et al. (2003). Measuring the distribution of ocean mass using GRACE. Space Sci. Rev., 108(1–2), 331–344.

    Article  Google Scholar 

  • Preisendorfer, R.W. (1988). Principal component analysis in meteorology and oceanography. Elsevier, New York.

    Google Scholar 

  • Ramillien, G. et al. (2004). Global time variations of hydrological signals from GRACE satellite gravimetry. Geophys. J. Int., 158, 813–826.

    Article  Google Scholar 

  • Ramillien G. et al. (2006). Interannual variations of the mass balance of the Antarctica and Greenland ice sheets from GRACE. Global Planet. Change, 53, 198–208.

    Article  Google Scholar 

  • Rangelova, E. et al. (2007). Analysis of Gravity Recovery and Climat Experiment time-variable mass redistribution signals over North America by means of principal component analysis. J. Geophys. Res.,112, F03002.

    Google Scholar 

  • Rowlands, D.D. et al. (2005). Resolving mass flux at high spatial and temporal resolution using GRACE intersatellite measurements. Geophys. Res. Lett., 32, L04310.

    Google Scholar 

  • Schmidt, R. et al. (2006). GRACE observations of changes in continental water storage. Global Planet. Change, 50, 112–126.

    Article  Google Scholar 

  • Schrama, E.J.O. et al. (2007). Signal and noise in Gravity Recovery and Climate Experiment (GRACE) observed surface mass variations. J. Geophys. Res.,112, B0840.

    Google Scholar 

  • Swenson, S. et al. (2003). Estimated accuracies of regional water storage variations inferred from the gravity recovery and climate experiment (GRACE). Water Resour. Res., 39(8), 1223.

    Article  Google Scholar 

  • Tapley, B.D. et al. (2004a). GRACE measurements of mass variability in the Earth system. Science, 305, 503–505.

    Article  Google Scholar 

  • Tapley, B.D. et al. (2004b). The gravity recovery and climate experiment: mission overview and early results. Geophys. Res. Lett., 31, L09607.

    Google Scholar 

  • Velicogna I. and J. Wahr (2005). Greenland mass balance from GRACE. Geophys. Res. Lett., 32, L18505.

    Google Scholar 

  • Wahr, J. et al. (1998). Time-variability of the Earth’s gravity field: Hydrological and oceanic effects and their possible detection using GRACE. J. Geophys. Res., 103, 30205–30230.

    Article  Google Scholar 

  • Wahr, J. et al. (2004). Time-variable gravity from GRACE: First results. Geophys. Res. Lett., 31, L11501.

    Google Scholar 

  • Wagner, C.D. et al. (2006). Degradation of geopotential recovery from short repeat-cycle orbits: application to GRACE monthly fields. J. Geod., 80, 94–103.

    Article  Google Scholar 

  • Wouters, B. and E.J.O. Schrama (2007). Improved accuracy of GRACE gravity solutions through empirical orthogonal function filtering of spherical harmonics. Geophys. Res. Lett., 34, L23711.

    Google Scholar 

  • Wu, P. (1998). Dynamics of the Ice Age earth: a modern perspective. Trans Tech Publications, Uetikon-Zuerich, Switzerland.

    Google Scholar 

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Acknowledgements

This study was funded by Australia Partnership Scholarship (APS-AusAid). We thank The Institute of Geoscience Research (TIGeR) for funds to present this work at the IAG Symposium GGEO2008. We also thank Dr Oliver Baur from the Geodetic Institute of the University of Stuttgart, who kindly provided the GRACE mass estimates. Finally, we would like to thank two anonymous reviewers who helped to considerably improve the original manuscript. This is TIGeR publication 169.

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Correspondence to I. M. Anjasmara .

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Anjasmara, I.M., Kuhn, M. (2010). Analysing Five Years of GRACE Equivalent Water Height Variations Using the Principal Component Analysis. In: Mertikas, S. (eds) Gravity, Geoid and Earth Observation. International Association of Geodesy Symposia, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10634-7_73

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