Bibliography

[1]

G A, J Wahr, and S Zhong. Computations of the viscoelastic response of a 3-D compressible Earth to surface loading: an application to Glacial Isostatic Adjustment in Antarctica and Canada. Geophysical Journal International, 192(2):557–572, February 2013. URL: https://doi.org/10.1093/gji/ggs030, doi:10.1093/gji/ggs030.

[2]

M Abramowitz and I A Stegun. Handbook of Mathematical Functions. Dover Publications, New York, 1965. ISBN 9780486612720.

[3]

T Bandikova, C McCullough, G L Kruizinga, H Save, and B Christophe. GRACE accelerometer data transplant. Advances in Space Research, 64(3):623–644, August 2019. URL: https://doi.org/10.1016/j.asr.2019.05.021, doi:10.1016/j.asr.2019.05.021.

[4]

F Barthelmes. Definition of Functionals of the Geopotential and Their Calculation from Spherical Harmonic Models. Technical Report STR09/02, GeoForschungsZentrum Scientific Technical Report, 2013. URL: https://doi.org/10.2312/GFZ.b103-0902-26, doi:10.2312/GFZ.b103-0902-26.

[5]

G Blewitt. Self-consistency in reference frames, geocenter definition, and surface loading of the solid Earth. Journal of Geophysical Research: Solid Earth, February 2003. URL: https://doi.org/10.1029/2002jb002082, doi:10.1029/2002JB002082.

[6]

K P Burnham and D R Anderson. Model Selection and Multimodel Inference. Springer-Verlag New York, 175 Fifth Avenue, New York, NY, 2 edition, 2002.

[7]

L Caron, E R Ivins, E Larour, S Adhikari, J Nilsson, and G Blewitt. GIA Model Statistics for GRACE Hydrology, Cryosphere, and Ocean Science. Geophysical Research Letters, 45(5):2203–2212, March 2018. URL: https://doi.org/10.1002/2017gl076644, doi:10.1002/2017GL076644.

[8]

B F Chao and R S Gross. Changes in the Earth's rotation and low-degree gravitational field induced by earthquakes. Geophysical Journal International, 91(3):569–596, December 1987. URL: https://doi.org/10.1111/j.1365-246x.1987.tb01659.x, doi:10.1111/j.1365-246X.1987.tb01659.x.

[9]

M Cheng and J C Ries. Decadal variation in Earth's oblateness (J2) from satellite laser ranging data. Geophysical Journal International, 212(2):1218–1224, February 2018. URL: https://doi.org/10.1093/gji/ggx483, doi:10.1093/gji/ggx483.

[10]

M Cheng, J C Ries, and B D Tapley. Variations of the Earth's figure axis from satellite laser ranging and GRACE. Journal of Geophysical Research: Solid Earth, January 2011. URL: https://doi.org/10.1029/2010JB000850, doi:10.1029/2010JB000850.

[11]

M K Cheng. Geocenter Variations from Analysis of SLR Data. In Zuheir Altamimi, editor, Reference Frames for Applications in Geosciences, 19–25. Berlin, Heidelberg, 2013. Springer Berlin Heidelberg.

[12]

O L Colombo. Numerical Methods for Harmonic Analysis on the Sphere. Technical Report OSURF Proj. No. 711664, United States Air Force, 1981.

[13]

C Dahle and M Murböck. Post-processed GRACE/GRACE-FO Geopotential GSM Coefficients GFZ RL06 (Level-2B Product). 2019. URL: http://doi.org/10.5880/GFZ.GRAVIS_06_L2B, doi:10.5880/GFZ.GRAVIS_06_L2B.

[14]

C Dahle, M Murböck, F Flechtner, H Dobslaw, G Michalak, K Neumayer, O Abrykosov, A Reinhold, R König, R Sulzbach, and C Förste. The GFZ GRACE RL06 Monthly Gravity Field Time Series: Processing Details and Quality Assessment. Remote Sensing, 11(18):2116, September 2019. URL: https://doi.org/10.3390/rs11182116, doi:10.3390/rs11182116.

[15]

J L Davis, P Elósegui, J X Mitrovica, and M E Tamisiea. Climate-driven deformation of the solid Earth from GRACE and GPS. Geophysical Research Letters, December 2004. URL: https://doi.org/10.1029/2004gl021435, doi:10.1029/2004GL021435.

[16]

N Dershowitz and E M Reingold. Calendrical Calculations. Cambridge University Press, 3 edition, 2007. URL: https://doi.org/10.1017/CBO9781107051119, doi:10.1017/CBO9781107051119.

[17]

A M Dziewonski and D L Anderson. Preliminary reference Earth model. Physics of the Earth and Planetary Interiors, 25(4):297–356, June 1981. URL: https://doi.org/10.1016/0031-9201(81)90046-7, doi:10.1016/0031-9201(81)90046-7.

[18]

E Fagiolini, F Flechtner, M Horwath, and H Dobslaw. Correction of inconsistencies in ECMWF's operational analysis data during de-aliasing of GRACE gravity models. Geophysical Journal International, 202(3):2150–2158, September 2015. URL: https://doi.org/10.1093/gji/ggv276, doi:10.1093/gji/ggv276.

[19]

W E Farrell. Deformation of the Earth by surface loads. Reviews of Geophysics, 10(3):761–797, August 1972. URL: https://doi.org/10.1029/rg010i003p00761, doi:10.1029/RG010i003p00761.

[20]

W E Farrell and J A Clark. On Postglacial Sea Level. Geophysical Journal of the Royal Astronomical Society, 46(3):647–667, September 1976. URL: https://doi.org/10.1111/j.1365-246X.1976.tb01252.x, doi:10.1111/j.1365-246X.1976.tb01252.x.

[21]

P Gegout, J Boehm, and D Wijaya. Practical numerical computation of love numbers and applications. 2010. URL: https://doi.org/10.13140/RG.2.1.1866.7045, doi:10.13140/RG.2.1.1866.7045.

[22]

D Han and J Wahr. Post-Glacial Rebound Analysis for a Rotating Earth, pages 1–6. Volume 49 of Geophysical Monograph Series. American Geophysical Union, 1989. URL: https://doi.org/10.1029/GM049p0001, doi:10.1029/GM049p0001.

[23]

D Han and J Wahr. The viscoelastic relaxation of a realistically stratified earth, and a further analysis of postglacial rebound. Geophysical Journal International, 120(2):287–311, February 1995. URL: https://doi.org/10.1111/j.1365-246x.1995.tb01819.x, doi:10.1111/j.1365-246X.1995.tb01819.x.

[24]

D A Hatcher. Simple Formulae for Julian Day Numbers and Calendar Dates. Quarterly Journal of the Royal Astronomical Society, 25:53–55, March 1984. Provided by the SAO/NASA Astrophysics Data System. URL: https://ui.adsabs.harvard.edu/abs/1984QJRAS..25...53H.

[25]

B Hofmann-Wellenhof and H Moritz. Physical Geodesy. Springer Vienna, 2006. ISBN 9783211335444. URL: https://doi.org/10.1007/978-3-211-33545-1, doi:10.1007/978-3-211-33545-1.

[26]

S A Holmes and W E Featherstone. A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions. Journal of Geodesy, 76(5):279–299, May 2002. URL: https://doi.org/10.1007/s00190-002-0216-2, doi:10.1007/s00190-002-0216-2.

[27]

J H Horne and S L Baliunas. A prescription for period analysis of unevenly sampled time series. The Astrophysical Journal, 302:757, March 1986. URL: https://doi.org/10.1086/164037, doi:10.1086/164037.

[28]

C-W Hsu and I Velicogna. Detection of sea level fingerprints derived from GRACE gravity data. Geophysical Research Letters, 44(17):8953–8961, September 2017. URL: https://doi.org/10.1002/2017gl074070, doi:10.1002/2017GL074070.

[29]

E R Ivins, T S James, J Wahr, E J O Schrama, F W Landerer, and K M Simon. Antarctic contribution to sea level rise observed by GRACE with improved GIA correction. Journal of Geophysical Research: Solid Earth, 118(6):3126–3141, June 2013. URL: https://doi.org/10.1002/jgrb.50208, doi:10.1002/jgrb.50208.

[30]

T Jacob, J Wahr, R Gross, S Swenson, and G A. Estimating geoid height change in North America: past, present and future. Journal of Geodesy, 86(5):337–358, May 2012. URL: https://doi.org/10.1007/s00190-011-0522-7, doi:10.1007/s00190-011-0522-7.

[31]

T Jacob, J Wahr, W Pfeffer, and S Swenson. Recent contributions of glaciers and ice caps to sea level rise. Nature, 482(7386):514–518, February 2012. URL: https://doi.org/10.1038/nature10847, doi:10.1038/nature10847.

[32]

J A Jacobs. Geomagnetism. Volume 1. Academic Press, 1987. ISBN 978-0123786715.

[33]

C Jekeli. Alternative methods to smooth the Earth's gravity field. Technical Report NASA Grant No. NGR 36-008-161, OSURF Proj. No. 783210, Ohio State University, Department of Geodetic Science and Surveying, 1958 Neil Avenue, Columbus, Ohio 43210, 1981. URL: https://ntrs.nasa.gov/citations/19820014947.

[34]

I Joughin, B E Smith, and I Howat. Greenland Ice Mapping Project: ice flow velocity variation at sub-monthly to decadal timescales. The Cryosphere, 12(7):2211–2227, July 2018. URL: https://doi.org/10.5194/tc-12-2211-2018, doi:10.5194/tc-12-2211-2018.

[35]

R A Kendall, J X Mitrovica, and G A Milne. On post-glacial sea level - II. Numerical formulation and comparative results on spherically symmetric models. Geophysical Journal International, 161(3):679–706, June 2005. URL: https://doi.org/10.1111/j.1365-246x.2005.02553.x, doi:10.1111/j.1365-246X.2005.02553.x.

[36]

R Koenig, P Schreiner, and C Dahle. Monthly estimates of C(2,0) generated by GFZ from SLR satellites based on GFZ GRACE/GRACE-FO RL06 background models. 2019. URL: http://doi.org/10.5880/GFZ.GRAVIS_06_C20_SLR, doi:10.5880/GFZ.GRAVIS_06_C20_SLR.

[37]

K Lambeck. The Earth's Variable Rotation: Geophysical Causes and Consequences. Cambridge University Press, New York, 1980. ISBN 9780521673303. URL: http://www.cambridge.org/9780521673303.

[38]

F W Landerer and S C Swenson. Accuracy of scaled GRACE terrestrial water storage estimates. Water Resources Research, April 2012. URL: https://doi.org/10.1029/2011wr011453, doi:10.1029/2011WR011453.

[39]

N R Lomb. Least-squares frequency analysis of unequally spaced data. Astrophysics and Space Science, 39(2):447–462, February 1976. URL: https://doi.org/10.1007/bf00648343, doi:10.1007/BF00648343.

[40]

I M Longman. A Green's function for determining the deformation of the Earth under surface mass loads: 1. Theory. Journal of Geophysical Research, 67(2):845–850, February 1962. URL: https://doi.org/10.1029/jz067i002p00845, doi:10.1029/JZ067i002p00845.

[41]

B D Loomis, K E Rachlin, and S B Luthcke. Improved Earth Oblateness Rate Reveals Increased Ice Sheet Losses and Mass-Driven Sea Level Rise. Geophysical Research Letters, 46(12):6910–6917, June 2019. URL: https://doi.org/10.1029/2019gl082929, doi:10.1029/2019GL082929.

[42]

B D Loomis, K E Rachlin, D N Wiese, F W Landerer, and S B Luthcke. Replacing GRACE/GRACE-FO $C_30$ With Satellite Laser Ranging: Impacts on Antarctic Ice Sheet Mass Change. Geophysical Research Letters, February 2020. URL: https://doi.org/10.1029/2019gl085488, doi:10.1029/2019GL085488.

[43]

M Losch and V Seufer. How to Compute Geoid Undulations (Geoid Height Relative to a Given Reference Ellipsoid) from Spherical Harmonic Coefficients for Satellite Altimetry Applications. Technical Report, Alfred-Wegener-Institut für Polar- und Meeresforschung, December 2003. URL: http://mitgcm.org/~mlosch/geoidcookbook/geoidcookbook.html.

[44]

S B Luthcke, T J Sabaka, B D Loomis, A A Arendt, J J McCarthy, and J Camp. Antarctica, Greenland and Gulf of Alaska land-ice evolution from an iterated GRACE global mascon solution. Journal of Glaciology, 59(216):613–631, 2013. URL: https://doi.org/10.3189/2013jog12j147, doi:10.3189/2013JoG12J147.

[45]

J X Mitrovica and G A Milne. On post-glacial sea level: I. General theory. Geophysical Journal International, 154(2):253–267, August 2003. URL: https://doi.org/10.1046/j.1365-246x.2003.01942.x, doi:10.1046/j.1365-246X.2003.01942.x.

[46]

M J Mohlenkamp. A User's Guide to Spherical Harmonics. 2016. URL: http://www.ohiouniversityfaculty.com/mohlenka/research/uguide.pdf.

[47]

W H Munk and G J F MacDonald. The Rotation of the Earth: A Geophysical Discussion. Cambridge University Press, New York, 1960. ISBN 9780521104067. URL: http://www.cambridge.org/9780521104067.

[48]

W R Peltier, D F Argus, and R Drummond. Space geodesy constrains ice age terminal deglaciation: The global ICE-6G_C (VM5a) model. Journal of Geophysical Research: Solid Earth, 120(1):450–487, January 2015. 2014JB011176. URL: https://doi.org/10.1002/2014JB011176, doi:10.1002/2014JB011176.

[49]

W R Peltier, D F Argus, and R Drummond. Comment on “An Assessment of the ICE-6G_C (VM5a) Glacial Isostatic Adjustment Model” by Purcell et al. Journal of Geophysical Research: Solid Earth, 123(2):2019–2028, February 2018. URL: https://doi.org/10.1002/2016jb013844, doi:10.1002/2016JB013844.

[50]

H N Pollack. Spherical harmonic representation of the gravitational potential of a point mass, a spherical cap, and a spherical rectangle. Journal of Geophysical Research, 78(11):1760–1768, April 1973. URL: https://doi.org/10.1029/jb078i011p01760, doi:10.1029/JB078i011p01760.

[51]

W H Press. Numerical Recipes in C. Cambridge University Press, New York, NY, 1988. URL: https://numerical.recipes.

[52]

E Rignot, J Mouginot, and B Scheuchl. Ice Flow of the Antarctic Ice Sheet. Science, 333(6048):1427–1430, September 2011. URL: https://doi.org/10.1126/science.1208336, doi:10.1126/science.1208336.

[53]

D D Rowlands, S B Luthcke, J J McCarthy, S M Klosko, D S Chinn, F G Lemoine, J P Boy, and T J Sabaka. Global mass flux solutions from GRACE: A comparison of parameter estimation strategies—Mass concentrations versus Stokes coefficients. Journal of Geophysical Research: Solid Earth, January 2010. URL: https://doi.org/10.1029/2009jb006546, doi:10.1029/2009JB006546.

[54]

A Savitzky and M J E Golay. Smoothing and Differentiation of Data by Simplified Least Squares Procedures. Analytical Chemistry, 36(8):1627–1639, July 1964. URL: https://doi.org/10.1021/ac60214a047, doi:10.1021/ac60214a047.

[55]

J D Scargle. Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data. The Astrophysical Journal, 263:835, December 1982. URL: https://doi.org/10.1086/160554, doi:10.1086/160554.

[56]

H Seroussi, M Morlighem, E Rignot, E Larour, D Aubry, H Ben Dhia, and S S Kristensen. Ice flux divergence anomalies on 79north Glacier, Greenland. Geophysical Research Letters, May 2011. URL: https://doi.org/10.1029/2011gl047338, doi:10.1029/2011GL047338.

[57]

M J R Simpson, G A Milne, P Huybrechts, and A J Long. Calibrating a glaciological model of the Greenland ice sheet from the Last Glacial Maximum to present-day using field observations of relative sea level and ice extent. Quaternary Science Reviews, 28(17-18):1631–1657, August 2009. URL: https://doi.org/10.1016/j.quascirev.2009.03.004, doi:10.1016/j.quascirev.2009.03.004.

[58]

Y Sun, P Ditmar, and R Riva. Observed changes in the Earth's dynamic oblateness from GRACE data and geophysical models. Journal of Geodesy, 90(1):81–89, 2016. URL: https://doi.org/10.1007/s00190-015-0852-y, doi:10.1007/s00190-015-0852-y.

[59]

Y Sun, R Riva, and P Ditmar. Optimizing estimates of annual variations and trends in geocenter motion and J2 from a combination of GRACE data and geophysical models. Journal of Geophysical Research: Solid Earth, 121(11):8352–8370, 2016. 2016JB013073. URL: https://doi.org/10.1002/2016JB013073, doi:10.1002/2016JB013073.

[60]

T C Sutterley and I Velicogna. Improved Estimates of Geocenter Variability from Time-Variable Gravity and Ocean Model Outputs. Remote Sensing, 11(18):2108, September 2019. URL: https://doi.org/10.3390/rs11182108, doi:10.3390/rs11182108.

[61]

T C Sutterley, I Velicogna, and C-W Hsu. Self-Consistent Ice Mass Balance and Regional Sea Level From Time-Variable Gravity. Earth and Space Science, March 2020. URL: https://doi.org/10.1029/2019ea000860, doi:10.1029/2019EA000860.

[62]

S Swenson, D Chambers, and J Wahr. Estimating geocenter variations from a combination of GRACE and ocean model output. Journal of Geophysical Research: Solid Earth, August 2008. URL: https://doi.org/10.1029/2007jb005338, doi:10.1029/2007JB005338.

[63]

S Swenson and J Wahr. Methods for inferring regional surface-mass anomalies from Gravity Recovery and Climate Experiment (GRACE) measurements of time-variable gravity. Journal of Geophysical Research: Solid Earth, September 2002. URL: https://doi.org/10.1029/2001jb000576, doi:10.1029/2001JB000576.

[64]

S Swenson and J Wahr. Post-processing removal of correlated errors in GRACE data. Geophysical Research Letters, April 2006. URL: https://doi.org/10.1029/2005gl025285, doi:10.1029/2005GL025285.

[65]

G Szegö. Orthogonal Polynomials. Volume 23. American Mathematical Society, 1939. ISBN 978-0-8218-1023-1. URL: https://bookstore.ams.org/coll-23.

[66]

B D Tapley, M M Watkins, F Flechtner, C Reigber, S Bettadpur, M Rodell, I Sasgen, J S Famiglietti, F W Landerer, D P Chambers, J T Reager, A S Gardner, H Save, E R Ivins, S C Swenson, C Boening, C Dahle, D N Wiese, H Dobslaw, M E Tamisiea, and I Velicogna. Contributions of GRACE to understanding climate change. Nature Climate Change, 9(5):358–369, May 2019. URL: https://doi.org/10.1038/s41558-019-0456-2, doi:10.1038/s41558-019-0456-2.

[67]

V M Tiwari, J Wahr, and S Swenson. Dwindling groundwater resources in northern India, from satellite gravity observations. Geophysical Research Letters, September 2009. URL: https://doi.org/10.1029/2009gl039401, doi:10.1029/2009GL039401.

[68]

J D Toms and M L Lesperance. PIECEWISE REGRESSION: A TOOL FOR IDENTIFYING ECOLOGICAL THRESHOLDS. Ecology, 84(8):2034–2041, August 2003. URL: https://doi.org/10.1890/02-0472, doi:10.1890/02-0472.

[69]

A S Trupin, M F Meier, and J M Wahr. Effect of melting glaciers on the Earth's rotation and gravitational field: 1965–1984. Geophysical Journal International, 108(1):1–15, January 1992. URL: https://doi.org/10.1111/j.1365-246x.1992.tb00835.x, doi:10.1111/j.1365-246X.1992.tb00835.x.

[70]

C C Tscherning and K Poder. Some Geodetic Applications of Clenshaw Summation. In Eighth Symposium on Mathematical Geodesy, volume 4, 349–375. Como, Italy, September 1982. CNR, Gruppo nazionale della fisica matematica, Gruppo nazionale di geofisica della terra solida.

[71]

I Velicogna. Increasing rates of ice mass loss from the Greenland and Antarctic ice sheets revealed by GRACE. Geophysical Research Letters, October 2009. URL: https://doi.org/10.1029/2009gl040222, doi:10.1029/2009GL040222.

[72]

I Velicogna, T C Sutterley, and M R van den Broeke. Regional acceleration in ice mass loss from Greenland and Antarctica using GRACE time-variable gravity data. Geophysical Research Letters, 41(22):8130–8137, November 2014. URL: https://doi.org/10.1002/2014gl061052, doi:10.1002/2014GL061052.

[73]

J Wahr, M Molenaar, and F Bryan. Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE. Journal of Geophysical Research: Solid Earth, 103(B12):30205–30229, December 1998. URL: https://doi.org/10.1029/98jb02844, doi:10.1029/98JB02844.

[74]

J Wahr, R Nerem, and S V Bettadpur. The pole tide and its effect on GRACE time-variable gravity measurements: Implications for estimates of surface mass variations. Journal of Geophysical Research: Solid Earth, 120(6):4597–4615, June 2015. URL: https://doi.org/10.1002/2015jb011986, doi:10.1002/2015JB011986.

[75]

J Wahr, S Swenson, and I Velicogna. Accuracy of GRACE mass estimates. Geophysical Research Letters, March 2006. URL: https://doi.org/10.1029/2005gl025305, doi:10.1029/2005GL025305.

[76]

J Wahr, D Wingham, and C Bentley. A method of combining ICESat and GRACE satellite data to constrain Antarctic mass balance. Journal of Geophysical Research: Solid Earth, 105(B7):16279–16294, July 2000. URL: https://doi.org/10.1029/2000jb900113, doi:10.1029/2000JB900113.

[77]

J M Wahr. Body tides on an elliptical, rotating, elastic and oceanless Earth. Geophysical Journal of the Royal Astronomical Society, 64(3):677–703, 1981. URL: https://doi.org/10.1111/j.1365-246X.1981.tb02690.x, doi:10.1111/j.1365-246X.1981.tb02690.x.

[78]

J M Wahr. Deformation induced by polar motion. Journal of Geophysical Research: Solid Earth, 90(B11):9363–9368, September 1985. URL: https://doi.org/10.1029/jb090ib11p09363, doi:10.1029/JB090iB11p09363.

[79]

J M Wahr, S R Jayne, and F O Bryan. A method of inferring changes in deep ocean currents from satellite measurements of time-variable gravity. Journal of Geophysical Research: Oceans, December 2002. URL: https://doi.org/10.1029/2001jc001274, doi:10.1029/2001JC001274.

[80]

H Wang, L Xiang, L Jia, L Jiang, Z Wang, B Hu, and P Gao. 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. Computers & Geosciences, 49:190–199, December 2012. URL: https://doi.org/10.1016/j.cageo.2012.06.022, doi:10.1016/j.cageo.2012.06.022.

[81]

M M Watkins, D N Wiese, D-N Yuan, C Boening, and F W Landerer. Improved methods for observing Earth's time variable mass distribution with GRACE using spherical cap mascons. Journal of Geophysical Research: Solid Earth, 120(4):2648–2671, April 2015. URL: https://doi.org/10.1002/2014jb011547, doi:10.1002/2014JB011547.

[82]

P L Whitehouse, M J Bentley, G A Milne, M A King, and I D Thomas. A new glacial isostatic adjustment model for Antarctica: calibrated and tested using observations of relative sea-level change and present-day uplift rates. Geophysical Journal International, 190(3):1464–1482, September 2012. URL: https://doi.org/10.1111/j.1365-246x.2012.05557.x, doi:10.1111/j.1365-246X.2012.05557.x.

[83]

X Wu, M B Heflin, H Schotman, B L Vermeersen, D Dong, R S Gross, E R Ivins, A W Moore, and S E Owen. Simultaneous estimation of global present-day water transport and glacial isostatic adjustment. Nature Geoscience, 3(9):642–646, September 2010. URL: https://doi.org/10.1038/ngeo938, doi:10.1038/ngeo938.

[84]

National Research Council. Satellite Gravity and the Geosphere: Contributions to the Study of the Solid Earth and Its Fluid Envelopes. The National Academies Press, Washington, DC, 1997. ISBN 978-0-309-05792-9. URL: https://doi.org/10.17226/5767, doi:10.17226/5767.