Box inverse models, altimetry and the geoid: Problems with the omission error

Journal of Geophysical Research: Oceans

Volumn 107, Issue 7, 2002, Pages

  Losch, Martin ^a,d   Sloyan, Bernadette M ^b,e   Schröter, Jens ^a   Sneeuw, Nico ^c,f  

^a ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

^b NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^c Inst Astro/Physikalische Geodasie   (Germany)

^d MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^e WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^f UNIVERSITY OF CALGARY   (Canada)

Author keywords

Geoid modeling; Inverse modeling; Ocean general circulation; Satellite altimetry

Indexed keywords

ERROR ANALYSIS; GEOID; OCEANIC GENERAL CIRCULATION MODEL; REMOTE SENSING; SATELLITE ALTIMETRY;

EID: 0037101680     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2001jc000855     Document Type: Article

References (52)

1. Balmino, G., F. Perosanz, R. Rummel, N. Snceuw, H. Sünkel, and P. Woodworth, European views on dedicated gravity field missions: GRACE and GOCE, An Earth Sciences Division Consultation Document, ESD-MAG-REP-CON-001, Eur. Space Agency, Paris, 1998.
2. Battrick, B., (Ed.), Gravity Field ad Steady-State Ocean Circulation Explorer, ESA SP-1233 (1) - The Four Candidate Earth Explorer Core Missions, Eur. Space Agency, Paris, 1999.
3. Bell, M. J., R. M. Forbes, and A. Hines, Assessment of the FOAM global data assimilation system for real-time ocean forecasting, J. Mar. Syst., 25, 1-22, 2000.
4. Coachman, L., and K. Aagaard, Transport through Bering Strait: Annual and interannual variability, J. Geophys. Res., 93, 15,535-15,539, 1988.
5. Cresswell, G. R., A. Frische, J. Peterson, and D. Quadfasel, Circulation in the Timor Sea, J. Geophys. Res., 98, 14,379-14,389, 1993.
6. Dickson, R. R., and J. Brown, The production of North Atlantic Deep Water: Sources, rates and pathways, J. Geophys. Res., 99, 12,319-12,341, 1994.
7. Egbert, G., Tidal data inversion: Interpolation and inference, Prog. Oceanogr., 40, 53-58, 1997.
8. Fahrbach, E., G. Rohardt, M. Schröder, and V. Strass, Transport and structure of the Weddell Gyre, Ann. Geophys., 12, 840-855, 1994.
9. Fu, L.-L., Mass, Heat and Freshwater fluxes in the South Indian Ocean, J. Phys. Oceanogr., 16, 1683-1693, 1986.
10. Fukumori, I., Assimilation of TOPEX sea level measurements with a reduced-gravity, shallow water model of the tropical Pacific Ocean, J. Geophys. Res., 100, 25,027-25,039, 1995.
11. Ganachaud, A., and C. Wunsch, Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data, Nature, 408, 453-457, 2000.
12. Ganachaud, A., C. Wunsch, M.-C. Kim, and B. Tapley, Combination of TOPEX/POSEIDON data with a hydrographic inversion for determination of the oceanic general circulation and its relation to geoid accuracy, Geophys. J. Int., 128, 708-722, 1997.
13. Gordon, A. L., and B. A. Huber, Southern Ocean winter Mixed Layer, J. Geophys. Res., 95, 11,655-11,672, 1990.
14. Hernandez, F., and P. Schaeffer, Altimetric mean sea surfaces and gravity anomaly maps inter-comparisons, AVISO techn. rep. AVI-NT-011-5242-CLS, CLS, Toulouse, France, 2000.
15. Hogg, N. G., P. Biscaye, W. Gardner, and W. J. Schmitz, Jr., On the transport and modification of Antarctic Bottom Water in the Vema Channel, J. Mar. Res., 40, 231-263, 1982.
16. Jackett, D., and T. J. McDougall, A neutral density variable for the worlds oceans, J. Phys. Oceanogr., 27, 237-263, 1997.
17. Jekeli, C., Alternative methods to smooth the Earth's gravity field, Tech. Rep. 327, Dep. of Geodetic Sci. and Surveying, Ohio State Univ., Columbus, 1981.
18. Kaula, W. M., Theory of Satellite Geodesy, Blaisdell Publ. Company, Waltham, Mass., 1966.
19. Kulhánek, O., Introduction to Digital Filtering in Geophysics, Elsevier Sci., New York, 1976.
20. LeGrand, P., Impact of the Gravity Field and Steady-State Ocean Circulation Explorer (GOCE) mission on ocean circulation estimates: Volume fluxes in the climatological inverse model of the Atlantic, J. Geophys. Res., 106, 19,597-19,610, 2001.
21. Lemoine, F.G., et al., The development of the NASA GSFC and NIMA joint geopotential model, in Gravity, geoid and marine geodesy, edited by J. Segawa, H. Fujimoto, and S. Okubo, vol. 117, pp. 461-469, Int. Assoc. of Geodesy Symp., Springer-Verlag, New York, 1997.
22. Le Provost, C., F. Lyard, J. Molines, M. Genco, and F. Rabilloud, A hydrodynamic ocean tide model improved by assimilating a satellite altimeter-derived data set, J. Geophys. Res., 103, 5513-5529, 1998.
23. Macdonald, A. M., The global ocean circulation: A hydrographic estimate and regional analysis, Prog. Oceanogr., 41, 281-382, 1998.
24. Malanotte-Rizzoli, P., (Ed.), Modern Approaches to Data Assimilation in Ocean Modelling, 455 pp., Elsevier Sci., New York, 1996.
25. McCartney, M. S., Crossing of the equator by the Deep Western Boundary Current in the western Atlantic Ocean, J. Phys. Oceanogr., 23, 1953-1974, 1993.
26. Meyers, G., R. J. Bailey, and A. P. Worby, Geostrophic transport of Indonesian throughflow, Deep-Sea Res., 42, 1163-1174, 1995.
27. Pedlosky, J., Geophysical Fluid Dynamics, 710 pp., Springer-Verlag, New York, 1987.
28. Peterson, R., The boundary currents in the western Argentine basin, Deep Sea Res., 39, 623-644, 1992.
29. Peterson, R., and L. Stramma, Upper-level circulation in the South Atlantic Ocean, Prog. Oceanogr., 26, 1-73, 1991.
30. Rapp, R., Geopotential coefficient behaviour to high degree and geoid information by wavelength, Tech. Rep. 180, Dep. of Geodetic Sci., Ohio State Univ., Columbus, 1972.
31. Rintoul, S. R., South Atlantic interbasin exchange, J. Geophys. Res., 96, 2592-2675, 1991.
32. Roemmich, D., and T. McCallister, Large scale circulation of the North Pacific Ocean, Prog. Oceanogr., 22, 171-204, 1989.
33. Saunders, P. M., and B. R. King, Oceanic Fluxes on the WOCE All Section, J. Phys. Oceanogr., 25, 1942-1957, 1995.
34. Schröter, J., M. Losch, and B. M. Sloyan, Impact of the Gravity Field and Steady-State Ocean Circulation Explorer (GOCE) mission on ocean circulation estimates, 2, Volume and heat transports across hydrographic sections of unequally spaced stations, J. Geophys. Res., 107(C2), 10.1029/2000JC000647, 2002.
35. Sloyan, B. M. and S. R. Rintoul, Estimates of area-averaged diapycnal fluxes from basin-scale budgets, J. Phys. Oceanogr., 2320-2341, 2000.
36. Sloyan, B. M., and S. R. Rintoul, Circulation, renewal and modification of Antarctic mode and intermediate water, J. Phys. Oceanogr., 31, 1005-1030, 2001a.
37. Sloyan, B. M., and S. R. Rintoul, The Southern Ocean limb of the global deep overturning circulation, J. Phys. Oceanogr., 31, 143-173, 2001b.
38. Sneeuw, N., and R. Bun, Global spherical harmonic computation by two-dimensional fourier methods, J. Geod., 70, 224-232, 1996.
39. Speer, K. G., and W. Zenk, The flow of Antarctic Bottom Water into the Brazil Basin, J. Phys. Oceanogr., 23, 2667-2682, 1993.
40. Stammer, D., C. Wunsch, R. Giering, Q. K. Zhang, and J. Marotzke, The global ocean circulation estimated from TOPEX/POSEIDON altimetry and a general circulation model, Rep. 49, Cent. of Global Change Sci., Mass. Inst. of Technol., Cambridge, 1997.
41. Tapley, B. D., The gravity recovery and climate experiment (GRACE), Eos Trans. AGU, 78(46), Fall Meet. Suppl., F163, 1997.
42. Tapley, B. D., et al., Precision orbit determination for TOPEX/POSEIDON, J. Geophys. Res., 99, 24,383-24,683, 1994.
43. Trèguer, P., D. M. Nelson, A. J. Van Bennekom, D. J. DeMaster, A. Leynaert, and B. Quèguiner The Silica balance in the world ocean: A reestimate, Science, 268, 375-379, 1995.
44. Wahr, J., M. Molenaar, and F. Bryan, Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE, J. Geophys. Res., 103, 30,205-30,299, 1998.
45. Wenzel, M., J. Schröter, and D. Olbers, The annual cycle of the global ocean circulation as determined by 4D VAR data assimilation, Prog. Oceanogr., 48, 73-119, 2001.
46. Whitworth, T., III., W. D. Nowlin Jr., R. D. Pillsbury, and R. F. Weiss, Observations of the Antarctic Circumpolar Current and deep boundary current in the Southwest Atlantic, J. Geophys. Res., 96, 15,105-15,118, 1991.
47. Whitworth, T., III., B. A. Warren, W. D. Nowlin Jr., R. D. Pillsbury, and M. I. Moore, On the deep western-boundary current in the Southwest Pacific Basin, Prog. Oceanogr., 43, 1-54, 1999.
48. Wijffels, S. E., R. W. Schmitt, H. L. Bryden, and A. Stigebrandt, Transport of freshwater by the oceans, J. Phys. Oceanogr., 22, 155-162, 1992.
49. Wunsch, C., The North Atlantic general circulation west of 50° determined by inverse methods, Rev. Geophys., 16, 583-620, 1978.
50. Wunsch, C., The Ocean Circulation Inverse Problem, Cambridge Univ. Press, New York, 1996.
51. Wunsch, C., and E. M. Gaposchkin, On using satellite altimetry to determine the general circulation of the oceans with application to geoid improvement, Rev. Geophys., 18, 725-745, 1980.
52. Wunsch, C., and D. Stammer, Satellite altimetry, the marine geoid, and the oceanic general circulation, Ann. Rev. Earth Planet. Sci., 26, 219-253, 1998.