Abstract
A new method, called the fixed full-matrix method (FFM), is used to compute height changes at crossovers of satellite altimeter ground tracks. Using the ENVISAT data in East Antarctica, FFM results in crossovers of altimeter heights that are 1.9 and 79 times more than those from the fixed half method (FHM) and the one-row method (ORM). The mean standard error of height changes is about 14 cm from ORM, which is reduced to 7 cm by FHM and to 3 cm by FFM. Unlike FHM, FFM leads to uniform errors in the first-half and second-half height-change time series. FFM has the advantage in improving the accuracy of the change of height and backscattered power over ORM and FHM. Assisted by the ICESat-derived height changes, we determine the optimal threshold correlation coefficient (TCC) for a best correction for the backscatter effect on ENVISAT height changes. The TCC value of 0.92 yields an optimal result for FFM. With this value, FFM yields ENVISAT-derived height change rates in East Antarctica mostly falling between \(-3\) and 3 cm/year, and matching the ICESat result to 0.94 cm/year. The ENVISAT result will provide a constraint on the current mass balance result along the Chinese expedition route CHINARE.
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References
Church JA, Gregory JM, Huybrechts P, Kuhn M, Lambeck K, Nhuan MT, Qin D, Woodworth PL (2001) Changes in sea level. In: Houghton JT (ed) Climate change 2001: the scientific basis. Contribution of working group I to the third assessment report of the intergovernmental panel on climate change. Cambridge University Press, Cambridge, pp 639–694
Davis CH, Segura DM (2001) An algorithm for time-series analysis of ice sheet surface elevations from satellite altimetry. IEEE Trans Geosci Remote Sens 39:202–206
Davis CH, Ferguson AC (2004) Elevation change of the Antarctic ice sheet, 1995–2000, from ERS-2 satellite radar altimetry. IEEE Trans Geosci Remote Sens 42:2437–2445
Ding M, Xiao C, Li Y, Ren J, Hou S, Jin B, Sun B (2011) Spatial variability of surface mass balance along a traverse route from Zhongshan station to Dome A, Antarctica. J Glacio 157(204):658–666
Ferguson AC, Davis CH, Cavanaugh JE (2004) An autoregressive model for analysis of ice sheet elevation change time series. IEEE Trans Geosci Remote Sens 42:2426–2436
Fu LL, Cazenave A (2001) Satellite altimetry and earth sciences: a handbook of techniques and applications. Academic, San Diego
Gunter B, Urban T, Riva R, Helsen M, Harpold R, Poole S, Nagel P, Schutz B, Tapley B (2009) A comparison of coincident GRACE and ICESat data over Antarctica. J Geod 83:1051–1060
Hwang C, Hsu HY (2008) Shallow-water gravity anomalies from satellite altimetry: case studies in the East China Sea and Taiwan Strait. J Chin Inst Eng 31(5):841–851
Khvorostovsky K, Johannessen OM (2009) Merging of ERS-1, ERS-2 and Envisat altimeter data over the Greenland ice sheet. Nansen Environ Remote Sens Center, Bergen, Norway, Technical Report 307
Legresy B, Papa F, Remy F, Vinay G, Bosch M, Zanife OZ (2005) ENVISAT radar altimeter measurements over continental surfaces and ice caps using the ICE-2 retracking algorithm. Remote Sens Environ 95:150–163
Li Y, Davis CH (2006) Improved methods for analysis of decadal elevation-change time series over Antarctica. IEEE Trans Geosci Remote Sens 44:2687–2697
Rémy F, Parouty S (2009) Antarctic ice sheet and radar altimetry: a review. Remote Sens 1:1212–1239
Schutz BE, Zwally HJ, Shuman CA, Hancock D, DiMarzio JP (2005) Overview of the ICESat mission. Geophys Res Lett 32(21). doi:10.1029/2005GL024009
Tapley BD, Bettadpur S, Ries JC, Thompson PF, Watkins M (2004) GRACE measurements of mass variability in the earth system. Science 305(5683):503–505
Vaughan DG, Bamber JL, Giovineto M, Russell J, Cooper APR (1999) Reassessment of net surface mass balance in Antarctica. J Clim 12:933–946
Velicogna I, Wahr J (2006) Measurements of time-variable gravity show mass loss in Antarctica. Science 311(5768):1754–1756. doi:10.1126/science.11237785
Wahr J, Wingham D, Bentley C (2000) A method of combining ICESat and GRACE satellite data to constrain Antarctic mass balance. J Geophys Res 105(B7):16279–16294
Wingham DJ, Ridout AJ, Scharroo R, Arthern RJ, Ck Shum (1998) Antarctic elevation change from 1992 to 1996. Science 282:456–458
Wingham DJ, Shepherd A, Muir A, Marshall GJ (2006) Mass balance of the Antarctic ice sheet. Philos Trans R Soc A 364(1844):1627–1635
Yamamoto K Fukuda Y, Doi K, Motoyama H (2008) Interpretation of the GRACE-derived mass trend in Enderby Land, Antarctica. Polar Sci 2(4):267–276
Yi D, Bentley CR, Stenoien MD (1997) Seasonal variation in the apparent height of the East Antarctic ice sheet. Ann Glaciol 24:191–198
Yi D, Zwally HJ, Cornejo HG, Barbieri K, DiMarzio J (2001) Elevations observed by satellite radar altimeter over ice sheets to variations in backscatter power and derived corrections. CryoSat Validation Workshop 2011, Frascati, Italy, February 2001
Zhang S, E D, Wang Z, Li Y, Jin B, Zhou C (2008) Ice velocity from static GPS observations along the transect from Zhongshan station to Dome A, East Antarctica. Ann Glaciol 48:113–118
Zwally HJ, Brenner AC (2001) Ice sheet dynamics and mass balance. In: Fu LL, Cazenave A (eds) Satellite altimetry and earth sciences: a handbook of techniques and applications. Academic Press, Orlando, pp 351–369
Zwally HJ, Brenner AC, Major JA, Bindschadler RA, Marsh JG (1989) Growth of Greenland ice sheet: measurement. Science 246:1587–1589
Zwally HJ, Giovinetto MB, Li J, Cornejo HG, Beckley MA, Brenner AC, Saba JL, Yi D (2005) Mass changes of the Greenland and Antarctic ice sheets and shelves and contributions to sea-level rise: 1992–2002. J Glaciol 51(175):509–527
Acknowledgments
We thank the European Space Agency for providing the ENVISAT SGDR data through the AVISO CNES Data Center. This study is supported by the MOST (Grant No. 2013CBA01804), National Natural Science Foundation of China (Grant No. 41106163, No. 41128003 and No. 41076126), and SOA (Grant No. CHINARE 2013, 2014). We thank the three reviewers, who provide very constructive comments that greatly improve the quality of this paper.
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Yang, Y., Hwang, C. & E, D. A fixed full-matrix method for determining ice sheet height change from satellite altimeter: an ENVISAT case study in East Antarctica with backscatter analysis. J Geod 88, 901–914 (2014). https://doi.org/10.1007/s00190-014-0730-z
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DOI: https://doi.org/10.1007/s00190-014-0730-z