Treatment of the error due to unresolved scales in sequential data assimilation

International Journal of Bifurcation and Chaos

Volumn 21, Issue 12, 2011, Pages 3619-3626

  Carrassi, Alberto ^a   Vannitsem, Stéphane ^a  

^a ROYAL METEOROLOGICAL INSTITUTE OF BELGIUM   (Belgium)

Author keywords

Data assimilation; Kalman filter; model error

Indexed keywords

DYNAMICAL SYSTEMS; KALMAN FILTERS;

CHAOTIC DYNAMICAL SYSTEMS; DATA ASSIMILATION; ENVIRONMENTAL MODEL; LARGE-SCALE DYNAMICS; LOW ORDER; MODEL ERRORS; SEQUENTIAL DATA;

ERRORS;

EID: 84856710341     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127411030775     Document Type: Conference Paper

References (26)

1. Carrassi, A., Vannitsem, S. & Nicolis, C. [2008] "Model error and sequential data assimilation. A deterministic formulation," Q. J. R. Meteorol. Soc. 134, 1297-1313.
2. Carrassi, A. & Vannitsem, S. [2010] "Accounting for model error in variational data assimilation. A deterministic formulation," Mon. Wea. Rev. 138, 3369-3386.
3. Carrassi, A. & Vannitsem, S. [2011] "State and parameter estimation with the extended Kalman filter. An alternative formulation of the model error dynamics," Q. J. R. Meteorol. Soc. 137, 435-451.
4. Charron, M., Pellerin, G., Spacek, L., Houtekamer, P. L., Gagnon, N., Mitchell, H. L. & Michelin, L. [2010] "Toward random sampling of model error in the Canadian ensemble prediction system," Mon. Wea. Rev. 138, 1877-1901.
5. Daley, R. [1991] Atmospheric Data Analysis (Cambridge University Press).
6. Dee, D. & Da Silva, A. [1998] "Data assimilation in the presence of forecast bias," Quart. J. Roy. Meteorol. Soc. 117, 269-295. (Pubitemid 128614310)
7. Friedland, B. [1969] "Treatment of bias in recursive filtering," IEEE Trans. Autom. Contr. AC-14, 359-367.
8. Ghil, M., Cohn, S. E., Tavantzis, J., Bube, K. & Isaacson, E. [1981] Dynamic Meteorology: Data Assimilation Methods, eds. Bengtsson, L., Ghil, M. & Källén, E. (Springer).
9. Jazwinski, A. H. [1970] Stochastic Processes and Filtering Theory (Academic Press).
10. Kalman, R. [1960] "A new approach to linear filtering and prediction problems," Trans. ASME, J. Basic Eng. 82, 35-45.
11. Kalnay, E. et al. [1996] "The NCEP/NCAR 40-year reanalysis project," Bull. Amer. Meteorol. Soc. 77, 437-471.
12. Kalnay, E. [2003] Atmospheric Modeling, Data Assimilation and Predictability (Cambridge University Press).
13. Kondrashov, D., Sun, C. & Ghil, M. [2008] "Data assimilation for a coupled ocean-atmosphere model. Part II: Parameter estimation," Mon. Wea. Rev. 136, 5062-5076.
14. Leith, C. E. [1978] "Objective methods for weather prediction," Ann. Rev. Fluid Mech. 10, 107-128.
15. Li, H., Kalnay, E., Miyoshi, T. & Danforth, C. M. [2009] "Accounting for model errors in ensemble based data assimilation," Mon. Wea. Rev. 137, 3407-3419.
16. Lorenz, E. N. [1996] "Predictability: A problem partly solved," Proc. Seminar on Predictability -ECMWF 1, 1-18.
17. Miller, R. N., Ghil, M. & Gauthiez, F. [1994] "Advanced data assimilation in strongly nonlinear dynamical systems," J. Atmos. Sci. 51, 1037-1056.
18. Nicolis, C. [2003] "Dynamics of model error: Some generic features," J. Atmos. Sci. 60, 2208-2218. (Pubitemid 37196072)
19. Nicolis, C. [2004] "Dynamics of model error: The role of unresolved scales revisited," J. Atmos. Sci. 61, 1740-1753. (Pubitemid 39115677)
20. Nicolis, C., Perdigao, R. & Vannitsem, S. [2009] "Dynamics of prediction errors under the combined effect of initial condition and model errors," J. Atmos. Sci. 66, 766-778.
21. Reynolds, C., Webster, P. J. & Kalnay, E. [1994] "Random error growth in NMC's global forecasts," Mon. Wea. Rev. 122, 1281-1305.
22. Trémolet, Y. [2006] "Accounting for an imperfect model in 4D-Var," Q. J. R. Meteorol. Soc. 132, 2483-2504. (Pubitemid 46218300)
23. Tribbia, J. J. & Baumhefner, D. P. [1988] "The reliability of improvements in deterministic short-range forecasts in the presence of initial state and modeling deficiencies," Mon. Wea. Rev. 116, 2276-2288.
24. Uppala, S. M. et al. [2005] "The ERA-40 re-analysis," Q. J. R. Meteorol. Soc. 131, 2961-3012. (Pubitemid 43186171)
25. Vannitsem, S. & Toth, Z. [2002] "Short-term dynamics of model errors," J. Atmos. Sci. 59, 2594-2604.
26. Vannitsem, S. [2006] "The role of scales in the dynamics of parameterization uncertainties," J. Atmos. Sci. 63, 1659-1671. (Pubitemid 43942176)