The GEOS-3 retrospective data assimilation system: The 6-hour lag case

Monthly Weather Review

Volumn 131, Issue 9, 2003, Pages 2129-2150

  Zhu, Yanqiu ^a,b   Todling, Ricardo ^a,b   Guo, Jing ^a,b   Cohn, Stephen E ^a   Navon, I Michael ^a,c   Yang, Yan ^a,c  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

^b SCIENCE APPLICATIONS INTERNATIONAL CORPORATION   (United States)

^c FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; ITERATIVE METHODS; STATISTICAL METHODS; WEATHER FORECASTING;

CLIMATE RESEARCH;

CLIMATOLOGY;

CLIMATE MODELING; DATA ASSIMILATION; DATA SET; KALMAN FILTER; REMOTE SENSING; SATELLITE IMAGERY;

EID: 0142010028     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2003)131<2129:TGRDAS>2.0.CO;2     Document Type: Article

References (47)

1. Anderson, B. D. O., and J. B. Moore, 1979: Optimal Filtering. Prentice-Hall, 357 pp.
2. Baker, N. L., and R. Daley, 2000: Observation and background adjoint sensitivity in the adaptive observation-targeting problem. Quart. J. Roy. Meteor. Soc., 126, 1431-1454.
3. Bennett, A. F., B. S. Chua, and L. M. Leslie, 1996: Generalized inversion of a global numerical weather prediction model. Meteor. Atmos. Phys., 60, 165-78.
4. Biswas, K. K., and A. K. Mahalanabis, 1973: Suboptimal algorithms for nonlinear smoothing. IEEE Trans. Aerosp. Electron. Syst., 9, 529-534.
5. Bloom, S. C., L. L. Takacs, A. M. da Silva, and D. Ledvina, 1996: Data assimilation using incremental analysis updates. Mon. Wea. Rev., 124, 1256-1271.
6. Bouttier, F., and G. Kelly, 2001: Observing-system experiments in the ECMWF 4D-Var data assimilation system. Quart. J. Roy. Meteor. Soc., 127, 1469-1488.
7. Cohn, S. E., 1997: An introduction to estimation theory. J. Meteor. Soc. Japan, 75 (1B), 257-288.
8. Cohn, S. E., and R. Todling, 1996: Approximate data assimilation schemes for stable and unstable dynamics. J. Meteor. Soc. Japan, 74, 63-75.
9. Cohn, S. E., N. S. Sivakumaran, and R. Todling, 1994: A fixed-lag Kalman smoother for retrospective data assimilation. Mon. Wea. Rev., 122, 2838-2867.
10. Cohn, S. E., A. da Silva, J. Guo, M. Sienkiewicz, and D. Lamich, 1998: Assessing the effects of data selection with the DAO physical-space statistical analysis system. Mon. Wea. Rev., 126, 2913-2926.
11. Courtier, P., J.-N. Thepaut, and A. Hollingsworth, 1994: A strategy operational implementation of 4-D VAR using an incremental approach. Quart. J. Roy. Meteor. Soc., 120, 1367-1387.
12. Courtier, P., and Coauthors, 1998: The ECMWF implementation of three dimensional variational assimilation (3D-Var). Part I: Formulation. Quart. J. Roy. Meteor. Soc., 124, 1783-1808.
13. Daley, R., and E. Barker, 2001: NAVDAS: Formulation and diagnostics. Mon. Wea. Rev., 129, 869-883.
14. DAO, 1996: Algorithm theoretical basis document version 1.01 DAO, NASA Goddard Space Flight Center, Greenbelt, MD, 276 pp.
15. da Silva, A. M., and J. Guo, 1996: Documentation of the physical-space statistical analysis system (PSAS). Part I: The conjugate gradient solver version PSAS-1.00. DAO Note 96-2, NASA Goddard Space Flight Center, Greenbelt, MD, 66 pp.
16. Derber, J. C., 1989: A variational continuous assimilation technique. Mon. Wea. Rev., 117, 2437-2446.
17. Evensen, G., and P. J. van Leeuwen, 2000: An ensemble Kalman smoother for nonlinear dynamics. Mon. Wea. Rev., 128, 1852-1867.
18. Fisher, M., and E. Anderson, 2001: Developments in 4D-var and Kalman filtering. ECMWF Tech. Memo. 347, 36 pp.
19. Gauthier, P., and J.-N. Thépaut, 2001: Impact of the digital filter as a weak constraint in the preoperational 4DVAR assimilation system of Météo-France. Mon. Wea. Rev., 129, 2089-2102.
20. Gauthier, P., C. Charette, L. Fillion. P. Koclas, and S. Laroche, 1999: Implementation of a 3D variational data assimilation system at the Canadian Meteorological Center. Part I: The global analysis. Atmos.-Ocean, 37, 103-156.
21. Giering, R., and T. Kaminski, 1998: Recipes for adjoint code construction. ACM Trans. Math. Software, 24, 437-474.
22. Guo, J., J. W. Larson, G. Gaspari, A. da Silva, and P. M. Lyster, 1998: Documentation of the physical-space statistical analysis system (PSAS). Part II: The factored-operator formulation of error covariances. DAO Note 96-04, NASA Goddard Space Flight Center, Greenbelt, MD, 27 pp.
23. Hou, A. Y., D. V. Ledvina, A. M. da Silva, S. Q. Zhang, J. Joiner, R. M. Atlas, G. J. Huffman, and C. D. Kummerow, 2000: Assimilation of SSM/I-derived surface rainfall and total precipitable water for improving the GEOS analysis for climate studies. Mon. Wea. Rev., 128, 509-537.
24. Jazwinski, A. H., 1970: Stochastic Processes and Filtering Theory. Academic Press, 376 pp.
25. Larson, J. W., J. Guo, G. Gaspari, A. da Silva, and P. M. Lyster, 1998: Documentation of the physical-space statistical analysis system (PSAS). Part III: The software implementation. DAO Note 98-05, NASA Goddard Space Flight Center, Greenbelt, MD, 189 pp.
26. Li, Z., and I. M. Navon, 2001: Optimality of 4D-Var and its relationship with Kalman filter and Kalman smoother. Quart. J. Roy. Meteor. Soc., 127, 661-684.
27. Lynch, P., and X.-Y. Huang, 1992: Initialization of the HIRLAM model using a digital filter. Mon. Wea. Rev., 120, 1019-1034.
28. Ménard, R., and R. Daley, 1996: The application of Kalman smoother theory to the estimation of 4DVAR error statistics. Tellus, 48A, 221-237.
29. Miller, R. N., M. Ghil, and F. Gauthiez, 1994: Advanced data assimilation in strongly nonlinear dynamical systems. J. Atmos. Sci., 51, 1037-1056.
30. Moore, J. B., 1973: Discrete-time fixed-lag smoothing algorithms. Automatica, 9, 163-173.
31. Navon, I. M., and D. M. Legler, 1987: Conjugate gradient methods for large-scale minimization in meteorology. Mon. Wea. Rev., 115, 1479-1502.
32. Parrish, D. F., and J. C. Derber, 1992: The National Meteorological Center's spectral statistical-interpolation analysis system. Mon. Wea. Rev., 120, 1747-1764.
33. Polavarapu, S., M. Tanguay, and L. Fillion, 2000: Four-dimensional variational data assimilation with digital filter initialization. Mon. Wea. Rev., 128, 2491-2510.
34. Rabier, F., H. Jarvinen, E. Klinker, J.-F. Mahfouf, and A. Simmons, 2000: The ECMWF operational implementation of four dimensional variational assimilation. Part I: Experimental results with simplified physics. Quart. J. Roy. Meteor. Soc., 126, 1143-1170.
35. Rukhovets, L., J. Tenenbaum, and M. Geller, 1998: The impact of additional aircraft data on the Goddard Earth Observing System analyses. Mon. Wea. Rev., 126, 2927-2941.
36. Suarez, M., and L. L. Takacs, 1995: Documentation of the ARIES/GEOS dynamical core, version 2. NASA Tech. Memo. 104606, Vol. 5, 45 pp. [Available from Data Assimilation Office, NASA, Code 910.3, Greenbelt, MD 20771.]
37. Thépaut, J.-N., D. Vasiljevic, P. Courtier, and J. Pailleux, 1993: Variational assimilation of conventional meteorological observations with a multilevel primitive-equation model. Quart. J. Roy. Meteor. Soc., 119, 153-186.
38. Todling, R., 2000: Retrospective data assimilation schemes: Fixed-lag smoothing. Proc. Second Int. Symp. on Frontiers of Time Series Modeling: Nonparametric Approach to Knowledge Discovery, Nara, Japan, Institute of Statistical Mathematics, 155-173.
39. Todling, R., and S. E. Cohn, 1996: Some strategies for Kalman filtering and smoothing. Proc. ECMWF Seminar on Data Assimilation, Reading, United Kingdom, ECMWF, 91-111.
40. Todling, R., and S. E. Cohn, and N. S. Sivakumaran, 1998: Suboptimal schemes for retrospective data assimilation based on the fixed-lag Kalman smoother. Mon. Wea. Rev., 126, 247-259.
41. Verlaan, M., 1998: Efficient Kalman filtering algorithms for hydrodynamics models. Ph.D. thesis, Technische Universiteit Delft, 201 pp.
42. von Storch, H., and F. W. Zwiers, 1999: Statistical Analysis in Climate Research. Cambridge University Press, 484 pp.
43. Wentz, F. J., 1997: A well calibrated ocean algorithm for SSM/I. J. Geophys. Res., 102, 8703-8718.
44. Zhu, Y., R. Todling, and S. E. Cohn, 1999: Technical remarks on smoother algorithms. DAO Note 99-02, NASA Goddard Space Flight Center, Greenbelt, MD, 45 pp.
45. Zou, X., I. M. Navon, and J. Sela, 1993a: Control of gravitational oscillations in variational data assimilation. Mon. Wea. Rev., 121, 272-289.
46. Zou, X., I. M. Navon, M. Berger, M. K. Phua, T. Schlick, and F. X. LeDimet, 1993b: Numerical experience with limited-memory, quasi-Newton methods for large-scale unconstrained nonlinear minimization. SIAM J. Optimization, 3, 582-608.
47. Zupanski, D., 1997: A general weak constraint applicable to operational 4DVAR data assimilation systems. Mon. Wea. Rev., 125, 2274-2292.