A localization technique for ensemble Kalman filters

Quarterly Journal of the Royal Meteorological Society

Volumn 136, Issue 648, 2010, Pages 701-707

  Bergemann, Kay ^a   Reich, Sebastian ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Data assimilation

Indexed keywords

COST FUNCTIONALS; COVARIANCE MATRICES; DATA ASSIMILATION; DYNAMICAL MODEL; ENSEMBLE KALMAN FILTER; ENSEMBLE MEMBERS; GRADIENT SYSTEMS; LOCALIZATION TECHNIQUE; LONG RANGE CORRELATIONS; OBSERVATION OPERATOR; PHASE SPACES; TIME INTERVAL;

COVARIANCE MATRIX; DATA PROCESSING; ORDINARY DIFFERENTIAL EQUATIONS; PHASE SPACE METHODS;

KALMAN FILTERS;

ACCURACY ASSESSMENT; ATMOSPHERIC DYNAMICS; ATMOSPHERIC MODELING; COMPUTER SIMULATION; DATA ASSIMILATION; ENSEMBLE FORECASTING; KALMAN FILTER; NUMERICAL MODEL; OBSERVATIONAL METHOD; WEATHER FORECASTING;

EID: 77953029674     PISSN: 00359009     EISSN: 1477870X     Source Type: Journal    
DOI: 10.1002/qj.591     Document Type: Article

References (25)

1. Anderson J. 2001. An ensemble adjustment filter for data assimilation. Mon. Weather Rev. 129: 2884-2903.
2. Anderson J. 2003. A local least squares framework for ensemble filtering. Mon. Weather Rev. 131: 634-642.
3. Anderson J, Anderson S. 1999. A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts. Mon. Weather Rev. 127: 2741-2758.
4. Bergemann K, Gottwald G, Reich S. 2009. Ensemble propagation and continuous matrix factorization algorithms. Q. J. R. Meteorol. Soc. 135: 1560-1572.
5. Bishop C, Etherton B, Majumdar S. 2001. Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Weather Rev. 129: 420-436.
6. Burgers G, van Leeuwen P, Evensen G. 1998. On the analysis scheme in the ensemble Kalman filter. Mon. Weather Rev. 126: 1719-1724.
7. Evensen G. 2003. The Ensemble Kalman Filter: Theoretical formulation and practical implementation. Ocean Dyn. 53: 343-367.
8. Evensen G. 2004. Sampling strategies and square root analysis schemes for the EnKF. Ocean Dyn. 54: 539-560.
9. Evensen G. 2006. Data assimilation. The Ensemble Kalman Filter. Springer-Verlag: New York.
10. Gaspari G, Cohn S. 1999. Construction of correlation functions in two and three dimensions. Q. J. R. Meteorol. Soc. 125: 723-757.
11. Hamill T, Whitaker J, Snyder C. 2001. Distance-dependent filtering of background covariance estimates in an ensemble Kalman filter. Mon. Weather Rev. 129: 2776-2790.
12. Houtekamer P, Mitchell H. 2001. A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Weather Rev. 129: 123-136.
13. Houtekamer P, Mitchell H. 2005. Ensemble Kalman filtering. Q. J. R. Meteorol. Soc. 131: 3269-3289.
14. Hunt B, Kostelich E, Szunyogh I. 2007. Efficient data assimilation for spatialtemporal chaos: A local ensemble transform Kalman filter. Physica D 230: 112-137.
15. Kepert J. 2009. Covariance localisation and balance in an ensemble Kalman Filter. Q. J. R. Meteorol. Soc. 135: 1157-1176.
16. Lewis J, Lakshmivarahan S, Dhall S. 2006. Dynamic data assimilation: A least squares approach. Cambridge University Press: Cambridge.
17. Livings D, Dance S, Nichols N. 2008. Unbiased ensemble square root filters. Physica D 237: 1021-1028.
18. Lorenz E. 1996. 'Predictibility:A problem partly solved'. In Proc. Seminar on Predictibility, vol. 1. ECMWF: Reading; pp. 1-18.
19. Lorenz E, Emanuel K. 1998. Optimal sites for supplementary weather observations: Simulations with a small model. J. Atmos. Sci. 55: 399-414.
20. Ott E, Hunt B, Szunyogh I, Zimin A, Kostelich E, Corazza M, Kalnay E, Patil D, Yorke JA. 2004. A local ensemble Kalman filter for atmospheric data assimilation. Tellus A 56: 415-428.
21. Sakov P, Oke P. 2008. A deterministic formulation of the ensemble Kalman filter: An alternative to ensemble square root filters. Tellus A 60: 361-371.
22. Simon D. 2006. Optimal state estimation. JohnWiley & Sons: New York.
23. Tippett M, Anderson J, Bishop G, Hamill T, Whitaker J. 2003. Ensemble square root filters. Mon. Weather Rev. 131: 1485-1490.
24. Wang X, Bishop C, Julier S. 2004. Which is better, an ensemble of positive-negative pairs or a centered spherical simplex ensemble? Mon. Weather Rev. 132: 1590-1505.
25. Whitaker J, Hamill T. 2002. Ensemble data assimilation without perturbed observations. Mon. Weather Rev. 130: 1913-1924.