A deterministic formulation of the ensemble Kalman filter: An alternative to ensemble square root filters

Tellus, Series A: Dynamic Meteorology and Oceanography

Volumn 60 A, Issue 2, 2008, Pages 361-371

  Sakov, Pavel ^a   Oke, Peter R ^a  

^a CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONFERENCE PROCEEDING; COVARIANCE ANALYSIS; ENSEMBLE FORECASTING; ERROR CORRECTION; KALMAN FILTER; NUMERICAL MODEL;

EID: 39049157179     PISSN: 02806495     EISSN: 16000870     Source Type: Journal    
DOI: 10.1111/j.1600-0870.2007.00299.x     Document Type: Conference Paper

References (22)

1. Anderson, J. L. 2001. An ensemble adjustment Kalman filter for data assimilation. Mon. Wea. Rev. 129, 2884-2903.
2. Bierman, G. J. 1977. Factorization Methods for Discrete Sequential Estimation. Academic Press, New York, 68-112.
3. Bishop, C., Etherton, B. and Majumdar, S. J. 2001. Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Wea. Rev. 129, 420-436.
4. Burgers, G., van Leeuwen, P. J. and Evensen, G. 1998. Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev. 126, 1719-1724.
5. Evensen, G. 1994. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte-Carlo methods to forecast error statistics. J. Geophys. Res. 99, 10143-10162.
6. Evensen, G. 2003. The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dyn. 53, 343-367.
7. Evensen, G. 2004. Sampling strategies and square root analysis schemes for the EnKF. Ocean Dyn. 54, 539-560.
8. Hamill, T. and Whitaker, J. 2001. Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter. Mon. Wea. Rev. 129, 2776-2790.
9. Houtekamer, P. L. and Mitchell, H. L. 1998. Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev. 126, 796-811.
10. Houtekamer, P. L. and Mitchell, H. L. 2001. A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Wea. Rev. 129, 123-137.
11. Jelloul, M. B. and Thierry, H. 2003. Basin-mode interactions and selection by the mean flow in a reduced-gravity quasigeostrophic model. J. Phys. Oceanogr. 33, 2320-2332.
12. Julier, S. J. and Uhlmann, J. K. 1997. A new extension of the Kalman filter to nonlinear systems. In: The 11th Int. Symp. on Aerospace/ Defence Sensing, Simulation and Controls, Vol. 3068. 182-193.
13. Lawson, W. G. and Hansen, J. A. 2004. Implications of stochastic and deterministic filters as ensemble-based data assimilation methods in varying regimes of error growth. Mon. Wea. Rev. 132, 1966-1981.
14. Lorenz, E. N. and Emanuel, K. A. 1998. Optimal sites for supplementary weather observations: Simulation with a small model. J. Atmos. Sci. 55, 399-414.
15. Oke, P. R., Schiller, A., Griffin, D. A. and Brassington, G. B. 2005. Ensemble data assimilation for an eddy-resolving ocean model of the Australian region. Q. J. R. Meteorol. Soc. 131, 3301-3311.
16. Oke, P. R., Sakov, P. and Corney, S. P. 2006. Impacts of localization in the EnKF and EnOI: Experiments with a small model. Ocean Dyn. 57, 32-45.
17. Ott, E., Hunt, B. R., Szunyogh, I., Zimin, A. V., Kostelich, E. J., and co-authors 2004. A local ensemble Kalman filter for atmospheric data assimilation. Tellus 56A, 415-428.
18. Pham, D. T., Verron, J. and Roubaud, M. C. 1998. A singular evolutive extended Kalman filter for data assimilation in oceanography. J. Mar. Syst. 16, 323-340.
19. Sakov, P. and Oke, P. R. 2008. Implications of the form of the ensemble transformation in the ensemble square root filters. Mon. Wea. Rev., in press.
20. Tippett, M. K., Anderson, J. L., Bishop, C. H., Hamill, T. M. and Whitaker, J. S. 2003. Ensemble square root filters. Mon. Wea. Rev. 131, 1485-1490.
21. Wang, X., Bishop, C. H. and Julier, S. J. 2004. Which is better, an ensemble of positive-negative pairs or a centered spherical simplex ensemble ? Mon. Wea. Rev. 132, 1590-1605.
22. Whitaker, J. S. and Hamill, T. M. 2002. Ensemble data assimilation without perturbed observations. Mon. Wea. Rev. 130, 1913-1924.