A comparative study of 4D-VAR and a 4D Ensemble Kalman Filter: perfect model simulations with Lorenz-96
By: Elana J. Fertig, John Harlim and Brian R. Hunt
References
-
Anderson
, J. L.. An ensemble adjustment Kalman filter for data assimilation.. 129, 2884– 2903. -
Bishop
, C. H., Etherton, B.and Majumdar, S. J.. Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects.. 129, 420– 436. -
Burgers
, G.,, P. J.and Evensen, G.. Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev. 126, 1719– 1724. -
Courtier
, P., Thepaut, J. N.and Hollingsworth, A.. A strategy for operational implementation of 4D-VAR, using an incremental ap-proach. Quart. J. R. Meteorol. Soc. 120, 1367– 1387. -
Evensen
, G.. Sequential data assimilation with a non-linear quasi-geostropic model using Monte Carlo Methods to forecast error statistics. J. Geophys. Res. 99, 10143– 10162. -
Evensen
, G.and van Leeuwen, P. J. 2000. An ensemble Kalman smoother for nonlinear dynamics. Mon. Wea. Rev. 128, 1852– 1867. -
Houtekamer
, P. L.and Mitchell, H. L.. Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev. 126, 796- 811. -
Houtekamer
, P. L., Mitchell, H. L., Pellerin, G., Buehner, M., Charron, M, et al.. Atmospheric data assimilation with the ensemble Kalman filter: Results with real observations.. 133, 604– 620. -
Houtekamer
, P. L.and Mitchell, H. L.. Ensemble Kalman Filtering . Quart. J. R. Meteorol. Soc., in press. -
Hunt
, B. R., Kalnay, E., Kostelich, E. J., Ott, E., Patil, D. J.and co-authors. 2004. Fourdimensional ensemble Kalman filtering., 273- 277. -
Lawson
, L.M, Spitz, Y. H., Hofmann, E. E.and Long, R. B.. A data assimilation technique applied to a predator-prey model. Bull. Math. Biol. 57( 4), 593– 617. -
Le Dimet
, E X.and Talagrand, O.. Variational algorithm for anal-ysis and assimilation of meteorological observations: Theoretical aspects. Tellus, 97– 110. -
Lorenc
, A. C.. The potential of the ensemble Kalman filter for NWP-a comparison with 4D-VAR. Quart. .1. R. Meteorol. Soc. 129, 3183– 3203. -
Lorenz
, E. N.. Predictability-a problem partly solved. In Proceedings on predictability, held at ECMWF on 4-8 September 1995. -
Ott
, E., Hunt, B. R., Szunoygh, I., Zimin, A., Kostelich, E. J., and co-authors. 2004. A local ensemble Kalman filter for atmospheric data assimilation., 415- 428. -
Parrish
, D. Eand Derber, J. C.. The National Meteorological Center’s spectral statistical-interpolation analysis system. Mon. Wea. Rev. 120( 8), 1747– 1763. -
Press
, W. H., Flannery, B. P., Teukolsky, S. A.and Vetterling, W. V.. Numerical Recipes in Fortran . Cambridge University Press, New York. -
Rabier
, E, Thepaut, J. N.and Courtier, P.. Extended assimilation and forecast experiments with a four-dimensional variational assimilation system. Quart. J. R. Meteorol. Soc. 124, 1861– 1887. -
Rabier
, E, Järvien, H., Mahfouf, J., A. 2000. The ECMWF operational implementation of four-dimensional variational assimilation: Experimental results with simplified physics. Quart. J. R. Meteorol. Soc. 126, 1148-117 0. -
Szunoygh
, I., Kostelich, E. J., Gyarmati, G., Patil, D. J., Kalnay, E., and co-authors. 2005. Assessing a local ensemble Kalman filter: Perfect model experiments with the National Centers for Environmental Prediction global model., 528- 545. -
Wang
, X., Bishop, C. H.and Julier, S. J.. Which is better, an ensemble of positive-negative pairs or a centered spherical simplex ensemble?. 132( 7), 1590– 1605. -
Wang
, X., Hamill, T.M, Whitaker, J. S.and Bishop, C. H.. A com-parison of hybrid ensemble transform Kalman filter-OI and ensemble square-root filter analysis schemes . Mon. Wea. Rev., in press. -
Whitaker
, J. S.and Hamill, T. M.. Ensemble data assimila-tion without perturbed observations.. 130, 1913– 1924. -
Whitaker
, J. S., Compo, G. P., Wei, X.and Hamill, T. M.. Reanalysis without radiosondes using ensemble data assimilation.. 132, 1190– 1200. -
Whitaker
, J. S., Hamill, T. M., Wei, X., Song, Y.and Toth, Z.. Ensemble data assimilation with the NCEP global forecast system . Mon. Wea. Rev., submitted. -
Zupanski
, M.. Maximum likelihood ensemble filter: Theoretical aspects.. 133, 1710– 1726.
DOI: https://doi.org/10.1111/j.1600-0870.2006.00205.x | Journal eISSN: 3035-9554
Language: English
Page range: 96 - 100
Submitted on: Jun 7, 2006
Accepted on: Aug 22, 2006
Published on: Jan 1, 2007
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2007 Elana J. Fertig, John Harlim, Brian R. Hunt, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.