4DVAR data assimilation in the Intra-Americas Sea with the Regional Ocean Modeling System (ROMS) (DOI:10.1016/j.ocemod.2008.04.008)

Ocean Modelling

Volumn 25, Issue 3-4, 2008, Pages 173-188

  Powell, B S ^a   Arango, H G ^b   Moore, A M ^a   Di Lorenzo, E ^c   Milliff, R F ^d   Foley, D ^e,f  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d Georgia Institute of Technology ^*  (United States)

^e UNIVERSITY OF HAWAII   (United States)

^f NOAA SOUTHWEST FISHERIES SCIENCE CENTER   (United States)

Author keywords

4DVAR; Data assimilation; Gulf of Mexico; Intra Americas Sea; Predictability; ROMS

Indexed keywords

EID: 52149091669     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.08.002     Document Type: Erratum

References (92)

1. Arango H.G., and Reid R.O. A generalized reduced-gravity ocean model. Atmos. Ocean 29 (1991) 256-287
2. Beal L.M., Hummon J.M., Williams E., Brown O.B., Baringer W., and Kearns E.J. Five years of Florida Current structure and transport from the Royal Caribbean Cruise Ship Explorer of the Seas. J. Geophys. Res. 113 (2008) C6-C06001
3. Bennett A.F. Inverse Modeling of the Ocean and Atmosphere (2002), Cambridge University Press
4. Brown, O.B., Minnett, P.J., 1999. MODIS Infrared Sea Surface Temperature Algorithm Theoretical Basis Document, Ver 2.0. Tech. Rep., NASA Goddard Space Flight Center. URL: .
5. Chassignet E.P., Hurlburt H.E., Martin Smedstad O., Barron C.N., Ko D.S., Rhodes R.C., Shriver J.F., Wallcraft A.J., and Arnone R.A. Assessment of data assimilative ocean models in the Gulf of Mexico using ocean color. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 165-180
6. Chassignet E.P., Hurlburt H.E., Martin Smedstad O., Halliwell G.R., Hogan P.J., Wallcraft A.J., Baraille R., and Bleck R. The HYCOM (HYbrid Coordinate Ocean Model) data assimilative system. J. Mar. Syst. 65 (2007) 60-83
7. Chelton D.B., deSzoeke R.A., Schlax M.G., Naggar K.E., and Siwertz N. Geographical variability of the first-baroclinic Rossby radius of deformation. J. Phys. Oceanogr. 28 (1998) 433-460
8. Chérubin L.M., Sturges W., and Chassignet E.P. Deep flow variability in the vicinity of the Yucatan Straits from a high-resolution numerical simulation. J. Geophys. Res. 110 (2005) 10.1029/2004JC002280
9. Chua B.S., and Bennett A.F. An inverse Ocean Modeling System. Ocean Modell. 3 (2001) 137-165
10. Courant R., and Hilbert D. Methods of Mathematical Physics (1962), Wiley-Interscience
11. Courtier P., Thépaut J.N., and Hollingsworth A. A strategy for operational implementation of 4D-Var, using an incremental approach. Quart. J. Roy. Meteorol. Soc. 120 (1994) 1367-1387
12. Derber J., and Rosati A. A global oceanic data assimilation system. J. Phys. Oceanogr. 19 (1989) 1333-1347
13. Di Lorenzo E., Moore A.M., Arango H.G., Cornuelle B.D., Miller A.J., Powell B.S., Chua B.S., and Bennett A.F. Weak and strong constraint data assimilation in the inverse Regional Ocean Modeling System (ROMS): development and application for a baroclinic coastal upwelling system. Ocean Modell. 16 (2007) 160-187
14. Dietrich D.E., and Lin C.A. Numerical studies of eddy shedding in the Gulf of Mexico. J. Geophys. Res. 99 (1994) 7599-7615
15. Evensen G. The ensemble Kalman filter: theoretical formulation and practical implementation. Ocean Dyn. 53 (2003) 343-367
16. Ezer T., Arango H.G., and Shchepetkin A.F. Developments in terrain-following ocean models: intercomparisons of numerical aspects. Ocean Modell. 4 (2002) 249-267
17. Ezer T., and Mellor G.L. Continuous assimilation of Geosat altimeter data into a three-dimensional primitive equation Gulf Stream model. J. Phys. Oceanogr. 24 (1994) 832-847
18. Fairall C.W., Bradley E.F., Rogers D.P., Edson J.B., and Young G.S. Bulk parameterization of air-sea fluxes for tropical ocean-global atmosphere coupled ocean-atmosphere response experiment. J. Geophys. Res. 101 (1996) 3747-3764
19. Falkovich A., Ginis I., and Lord S. Ocean data assimilation and initialization procedure for the coupled GFDL/URI Hurricane prediction system. J. Atmos. Ocean. Technol. 22 (2005) 1,918-1,932
20. Fan S., Oey L.-Y., and Hamilton P. Assimilation of drifter and satellite data in a model of the Northeastern Gulf of Mexico. Cont. Shelf. Res. 24 (2004) 1,001-1,013
21. Fisher, M., 1998. Minimization algorithms for variational data assimilation. In: Seminar on Recent Developments in Numerical Methods for Atmospheric Modelling. ECMWF.
22. Fukumori I., Raghunath R., Fu L.-L., and Chao Y. Assimilation of TOPEX/Poseidon altimeter data into a global ocean circulation model: How good are the results?. J. Geophys. Res. 104 (1999) 25,647-25,665
23. Ghil M., and Malanotte-Rizzoli P. Data assimilation in meteorology and oceanography. Adv. Geophys. 33 (1991) 141-266
24. Glenn S.M., and Ebbesmeyer C.C. Drifting buoy observations of a loop current anticyclonic eddy. J. Geophys. Res. 98 (1993) 20,105-20,120
25. Haidvogel D.B., Arango H.G., Hedstrom K., Beckmann A., Malanotte-Rizzoli P., and Shchepetkin A.F. Model evaluation experiments in the North Atlantic Basin: simulations in nonlinear terrain-following coordinates. Dyn. Atmos. Oceans 32 (2000) 239-281
26. Hamilton P., Fargion G.S., and Biggs D.C. Loop Current eddy paths in the western Gulf of Mexico. J. Phys. Oceanogr. 29 (1999) 1180-1207
27. Hurlburt H.E., and Thompson J.D. A numerical study of Loop Current intrusions and eddy shedding. J. Phys. Oceanogr. 10 (1980) 1611-1651
28. Kantha L.K., Choi J.K., Schaudt K.J., and Cooper C.K. A regional data-assimilative model for operational use in the Gulf of Mexico. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 165-180
29. Kistler R., Kalnay E., Collins W., Saha S., White G., Woolen J., Chelliah M., Ebisuzaki W., Kanamitsu M., Kousky V., van den Dool H., Jenne R., and Fiorino M. The NCEP/NCAR 50-year reanalysis. Bull. Am. Meteorol. Soc. 82 (2001) 247-268
30. Ko D.S., Martin P.J., Rowley C.D., and Preller R.H. A real-time coastal ocean prediction experiment for mrea04. J. Mar. Syst. (2007) 10.1016/j.jmarsys.2007.02.022
31. Köhl A., Stammer D., and Cornuelle B. Interannual to decadal changes in the ECOO global synthesis. J. Phys. Oceanogr. 37 (2007) 313-337
32. Lacarra J.F., and Talagrand O. Short-range evolution of small perturbations in a barotropic model. Tellus 40A (1988) 81-95
33. Le Dimet F., and Talagrand O. Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects. Tellus 38A (1986) 97-110
34. Le Traon P.Y., Ducet N., and Dibarboure G. Use of a high resolution model to analyze the mapping capabilities of multiple-altimeter missions. J. Atmos. Ocean. Technol. 18 (2001) 1277-1288
35. Leben R.R. Altimeter-derived Loop Current metrics. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 181-201
36. Leben R.R., and Powell B.S. Accuracy assessment of Jason-1 and TOPEX/Poseidon along-track sea surface slope. Mar. Geod. 26 (2003) 355-366 10.1080/01490410390256754
37. Lee T.N., Johns W.E., Zantopp R.J., and Fillenbaum E.R. Moored observations of western boundary current variability and thermohaline circulation at 26.5°n in the subtropical North Atlantic. J. Phys. Oceanogr. 26 (1996) 962-983
38. Levitus, S., Burgett, R., Boyer, T., 1994. World ocean atlas 1994 volume 4: Temperature. In: NOAA Atlas NESDIS 4. US Department of Commerce, 132 pp.
39. Lin X.H., Oey L.-Y., and Wang D.-P. Altimetry and drifter data assimilations of loop current and eddies. J. Geophys. Res. 112 (2007) 10.1029/2006JC003779
40. Mancilla Rojas, M., 2007. Validation of a Simulation of ROMS Model in the Gulf of Mexico and Caribbean Sea. Ph.D. Thesis, CICESE.
41. Marchesiello P., McWilliams J.C., and Shchepetkin A. Open boundary conditions for long-term integration of regional oceanic models. Ocean Modell. 3 (2001) 1-20
42. Maturi, E., Merchant, C., Harris, A., Li, X., Potash, B., 2004. Geostationary sea surface temperature product validation and methodology. In: Poster Presentation at AMS 13th Conference on Satellite Meteorology and Oceanography.
43. Mellor G.L., and Ezer T. A Gulf Stream model and an altimetry assimilation scheme. J. Geophys. Res. 96 (1991) 8,779-8,795
44. Milliff R.F., Morzel J., Chelton D.B., and Freilich M.H. Wind stress curl and wind stress divergence biases from rain effects on QSCAT surface wind retrievals. J. Atmos. Ocean. Technol. 21 (2004) 1216-1231
45. Milliff R.F., Niiler P.P., Morzel J., Sybrandy A.E., Nychka D., and Large W.G. Mesoscale correlation length scales from NSCAT and Minimet surface wind retrievals in the Labrador Sea. J. Atmos. Ocean. Technol. 20 (2003) 513-533
46. Mooers C.N.K., and Maul G.A. Intra-Americas Sea circulation. In: Robinson A.R., and Brink K.H. (Eds). The Sea (1998), John Wiley & Sons 183-208 (Chapter 11)
47. Moore A.M., Arango H.G., Lorenzo E.D., Cornuelle B.D., Miller A.J., and Neilson D.J. A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model. Ocean Modell. 7 (2004) 227-258
48. Morrison J.M., and Nowlin W.D. General distributions of water masses within the eastern Caribbean Sea during the winter of 1972 and the fall of 1973. J. Geophys. Res. 87 (1982) 4207-4229
49. Müller-Karger F.E., Walsh J.J., Evans R.H., and Meyers M.B. On the seasonal phytoplankton concentration and sea surface temperature cycles of the Gulf of Mexico as determined by satellites. J. Geophys. Res. 96 (1991) 12645-12665
50. Murphy S.J., Hurlburt H.E., and O'Brien J.J. The connectivity of eddy variability in the Caribbean Sea, the Gulf of Mexico, and the Atlantic Ocean. J. Geophys. Res. 104 (1999) 1,431-1,453
51. Ngodock H.E., Smith S.R., and Jacobs G.A. Cycling the representer algorithm for variational data assimilation with a nonlinear reduced gravity ocean model. Ocean Modell. 19 (2007) 101-111
52. Ochoa J., Badan A., Sheinbaum J., and Candela J. CANEK: Measuring Transport in the Yucatan Channel. Nonlinear Processes in Geophysical Fluid Dynamics (2003), Kluwer Academic Publishers 376
53. Oey L.-Y. Eddy- and wind-forced shelf circulation. J. Geophys. Res. 100 (1995) 8621-8637
54. Oey L.-Y. Simulation of mesoscale variability in the Gulf of Mexico: sensitivity studies, comparison with observations, and trapped wave propagation. J. Phys. Oceanogr. 26 (1996) 145-175
55. Oey L.-Y., Ezer T., Forristall G., Cooper C., DiMarco S., and Fan S. An exercise in forecasting loop current and eddy frontal positions in the Gulf of Mexico. Geophys. Res. Lett. 32 (2005) 10.1029/2005GL023253
56. Oey L.-Y., Ezer T., and Lee H.-C. Loop Current, rings and related circulation in the Gulf of Mexico: a review of numerical models and future challenges. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 31-56
57. Oey L.-Y., Lee H.-C., and Schmitz W.J. Effects of winds and Caribbean eddies on the frequency of Loop Current eddy shedding: a numerical modeling study. J. Geophys. Res. 108 (2003) 10.1029/2002JC001698
58. Ohlmann J.C., Niiler P.P., Fox C.A., and Leben R.R. Eddy energy and shelf interactions in the Gulf of Mexico. J. Geophys. Res. 106 (2001) 2605-2620
59. Parrish D.F., and Derber J.C. The National Meteorological Center's spectral statistical-interpolation analysis system. Mon. Weather Rev. 120 (1992) 1747-1763
60. Pascual A., Pujol M.-I., Larnicol G., Traon P.-Y.L., and Rio M.-H. Mesoscale mapping capabilities of multisatellite altimeter missions: first results with real data in the Mediterranean Sea. J. Mar. Syst. 65 (2007) 190-211
61. Reynolds, R.W., Rayner, N.A., Smith, T.M., Stokes, D.C., Wang, W., 2002. An improved in situ and satellite SST analysis for climate. J. Climate 15, 1609-1625, doi:10.1175/1520-0442(2002)015<1609:AIISAS>2.0.CO;2.
62. Richardson P.L. Caribbean Current and eddies as observed by surface drifters. Deep-Sea Res., Part II 52 (2005) 429-463
63. Roemmich D. Circulation of the Caribbean Sea: a well-resolved inverse problem. J. Geophys. Res. 86 (1981) 7993-8005
64. Roemmich D. The balance of geostrophic and Ekman transports in the Tropical Atlantic Ocean. J. Geophys. Res. 13 (1983) 1534-1539
65. Romanou A., Chassignet E.P., and Sturges W. The Gulf of Mexico circulation within a high resolution numerical simulation of the North Atlantic Ocean. J. Geophys. Res. 109 (2004) 10.1029/2003CJ001770
66. Schmitz W.J. Cyclones and westward propagation in the shedding of anticyclonic rings from the Loop Current. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 241-262
67. Schmitz W.J., Biggs D.C., Lugo-Fernandez A., Oey L.-Y., and Sturges W. A synopsis of the circulation in the Gulf of Mexico and on its continental margins. In: Sturges W., and Lugo-Fernandez A. (Eds). Circulation in the Gulf of Mexico: Observations and Models vol. 161 (2005), American Geophysical Union 11-30
68. Shchepetkin A.F., and McWilliams J.C. A method for computing horizontal pressure-gradient force in an oceanic model with nonaligned vertical coordinate. J. Geophys. Res. 108 (2003) 10.1029/2001JC001047
69. Shchepetkin A.F., and McWilliams J.C. The Regional Oceanic Modeling System: a split-explicit, free-surface, topography-following-coordinate ocean model. Ocean Modell. 9 (2005) 347-404
70. Sheinbaum J., Candela J., Badan A., and Ochoa J. Flow structure and transport in the Yucatan Channel. Geophys. Res. Lett. 29 3 (2002) 10.1029/2001GL013990
71. Smith D.C., and O'Brien J.J. The interaction of a two-layer isolated mesoscale eddy with topography. J. Phys. Oceanogr. 13 (1983) 1681-1967
72. Stammer D., Ueyoshi K., Köhl A., Large W.B., Josey S., and Wunsch C. Estimating air-sea flux estimates through global ocean data assimilation. J. Geophys. Res. 109 (2004) 10.1029/2003JC002082
73. Stammer D., Wunsch C., Giering R., Eckert C., Heimbach P., Marotzke J., Adcroft A., Hill C.N., and Marshall J. The global ocean circulation during 1992-1997, estimated from ocean observations and a general circulation model. J. Geophys. Res. 107 (2002) 10.1029/2001JC000888
74. Stammer D., Wunsch C., Giering R., Eckert C., Heimbach P., Marotzke J., Adcroft A., Hill C.N., and Marshall J. Volume, heat and freshwater transports of the global ocean circulation 1993-2000, estimated from a general circulation model constrained by WOCE data. J. Geophys. Res. 108 (2003) 10.1029/2001JC001115
75. Stowe L.L., Davis P.A., and McClain E.P. Scientific basis and initial evaluation of the CLAVR-1 global clear/cloud classification algorithm for the advanced very high resolution radiometer. J. Atmos. Ocean. Technol. 16 (1999) 656-681
76. Sturges W., Evans J.C., Holland W., and Welsh S. Separation of warm-core rings in the Gulf of Mexico. J. Phys. Oceanogr. 23 (1993) 250-268
77. Talagrand O., and Courtier P. Variational assimilation of meteorological observations with the adjoint vorticity equation. I: Theory. Quart. J. Roy. Meteorol. Soc. 113 (1987) 1311-1328
78. Trémolet Y. Diagnosis of linear and incremental approximations in 4D-Var. Quart. J. Roy. Meteorol. Soc. 130 (2004) 2,233-2,251
79. Tshimanga J., Gratton S., Weaver A.T., and Sartenaer A. Limited-memory preconditioners, with application to incremental four-dimensional variational data assimilation. Quart. J. Roy. Meteorol. Soc. 134 (2008) 751-769
80. Walker N., Myint S., Babin A., and Haag A. Advances in satellite radiometry for the surveillance of surface temperatures, ocean eddies and upwelling processes in the Gulf of Mexico using GOES-8 measurements during summer. Geophys. Res. Lett. 30 (2003) 1854 10.1029/2003GL017555
81. Walton C.C., Pichel W.G., Sapper J.F., and May D.A. The development and operational application of nonlinear algorithms for the measurement of sea surface temperatures with the NOAA polar-orbiting environmental satellites. J. Geophys. Res. 103 C12 (1998) 27,999-28,012
82. Wang D.-P., Oey L.-Y., Ezer T., and Hamilton P. Nearsurface currents in Desoto Canyon. J. Phys. Oceanogr. 33 (2003) 313-326
83. Warner J.C., Sherwood C.R., Arango H.G., and Signell R.P. Performance of four turbulence closure models implemented using a generic length scale method. Ocean Modell. 8 (2005) 81-113
84. Weaver A., and Courtier P. Correlation modelling on the sphere using generalized diffusion equation. Quart. J. Roy. Meteorol. Soc. 127 (2001) 1815-1846
85. Weaver A.T., Vialard J., and Anderson D.L.T. Three- and four-dimensional variational assimilation with a general circulation model of the tropical Pacific Ocean. Part I: Formulation, internal diagnostics, and consistency checks. Mon. Weather Rev. 131 (2003) 1360-1378
86. Wentz F.J., Gentemann C., and Ashcroft P. On-orbit calibration of AMSR-E and the retrieval of ocean products. Proceedings of the 83rd AMS Annual Meeting (2003), American Meteorological Society
87. Wentz F.J., Gentemann C., Smith D., and Chelton D. Satellite measurements of sea-surface temperature through clouds. Science 288 (2000) 847-850
88. Wikle C.K., and Berliner L.M. A Bayesian tutorial for data assimilation. Physica D 230 (2007) 1-16
89. Willis J.K., Roemmich D., and Cornuelle B. Interannual variability in upper ocean heat content, temperature, and thermosteric expansion on global scales. J. Geophys. Res. 109 (2004) 10.1029/2003JC002260c
90. Wunsch C. The Ocean Circulation Inverse Problem (1996), Cambridge University Press
91. Wunsch C., and Grant B. Towards the general circulation of the North Atlantic Ocean. Progr. Oceanogr. 11 (1982) 1-59
92. Zanifé O.Z., Vincent P., Amarouche L., Dumont J.P., Thibaut P., and Labroue S. Comparison of the Ku-band range noise level and the relative sea-state bias of the Jason-1, TOPEX, and Poseidon-1 radar altimeters. Mar. Geod. (2003) 201-238