Flow-dependent versus flow-independent initial perturbations for ensemble prediction
By: Linus Magnusson, Jonas Nycander and Erland Källén
References
-
Anderson
, J. L.. The impact of dynamical constraints on the selec-tion of initial conditions for ensemble predictions: low-order perfect model results.. 125, 2969– 2983. -
Arribas
, A., Robertson, K. B.and Mylne, K. R.. Test of a poor man’s ensemble prediction system for short-range probability forecasting.. 133, 1825– 1839. -
Barkmeijer
, J., van Gijzen, M.and Bouttier, F.. Singular vectors and estimates of the analysis-error covariance metric. Quart. J. R. Meteorol. Soc. 124, 1695– 1713. -
Barkmeijer
, J., Buizza, R.and Palmer, T. N.. 3D-Var Hessian sin-gular vectors and their potential use in ECMWF Ensemble Prediction System. Quart. J. R. Meteorol. Soc. 125, 2333– 2351. -
Barkmeijer
, J., Buizza, R., Palmer, T. N., Pun, K.and Mahfouf, J.-E. Tropical singular vectors computed with linearized diabatic physics. Quart. J. R. Meteorol. Soc. 127, 685– 708. -
Bengtsson
, L. K., Magnusson, L.and Knillen, E.. Independent esti-mations of the asymptotic variability in an ensemble forecast system. Mon. Wea. Rev. 136, 4105– 4112. -
Bishop
, C. H.and Toth, Z.. Ensemble transformation and adaptive mbservations. J. Atmos. Sci, 1748– 1765. -
Boer
, G. J.. Predictability as a function of scale. Atmos.-Ocean, 203– 215. -
Bowler
, N.. Comparison of error breeding, singular vectors, ran-dom perturbations and ensemble Kalman filter perturbation strategies on a simple model. Tellus, 538– 548. -
Bowler
, N., Arribas, A., Mylne, K. R., Robertson, K. B.and Beare, S. E.. The MOGREPS short-range ensemble prediction system. Quart. J. R. Meteorol. Soc. 134, 703– 722. -
Buizza
, R.. Comparison of a 51-member low-resolution (TL399L62) ensemble with a 6-member high-resolution (TL799L91) lagged-forecast ensemble. Mon. Wea. Rev. 136, 3343– 3362. -
Buizza
, R., Miller, M.and Palmer, T.. Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System. Quart. J. R. Meteorol. Soc. 125, 2887– 2908. -
Buizza
, R., Houtekamer, P. L., Toth, Z., Pellerin, G., Wei, M.and co-authors. 2005. A comparison of the ECMWF, MSC and NCEP global ensemble prediction systems. Mon. Wea. Rev. 133, 1067- 1097. -
Candille
, G.and Talagrand, J.. Evaluation of probabilistic predic-tion systems for a scalar variable. Quart. J. R. Meteorol. Soc. 131, 2131- 2150. -
Descamps
, L.and Talagrand, J.. On some aspects of the definition of initial conditions for ensemble prediction. Mon. Wea. Rev. 135, 3260- 3272. -
Fisher
, M.and Courtier, P.. Estimating the covariance matrices of analysis and forecast error in variational data assimilation, Technical Memorandum 220, ECMWF. -
Gustafsson
, N.. Discussion on `4D-Var or EnKF?’. Tellus, 774– 777. -
Hamill
, T. H.and Whitaker, J. S.. Accounting for the error due to unresolved scales in ensemble data assimilation: a comparison of different approches. Mon. Wea. Rev. 133, 3132– 3147. -
Hollingsworth
, A.. An experiment in Monte Carlo forecasting, In: Proceedings of Workshop on Stochastic Dynamic Forecasting, Reading, UK, ECMWF. -
Holton
, J. R.. An Introduction to Dynamic Meteorology . Academic Press, London, p. 535. -
Hoskins
, B. J.and Hodges, K. I.. New perspectives on the Northern Hemisphere winter storm tracks. J. Atmos. Sci. 59, 1041– 1061. -
Hoskins
, B. J., Buizza, R.and Badger, J.. The nature of singular vector growth and structure. Quart. J. R. Meteorol. Soc. 126, 1565– 1581. -
Houtekamer
, P. L., Lefaivre, L., Derome, J., Ritchie, H.and Mitchell, H.. A system simulation approach to ensemble prediction. Mon. Wea. Rev. 124, 1225– 1242. -
Houtekamer
, P. L., Mitchell, H.and Deng, X.. Model error resp-resentation in an operational ensemble Kalman filter. Mon. Wea. Rev. in press. -
Judd
, K., Reynolds, C. A., Rosmond, T. E.and Smith, L. A.. The geometry of model error. J. Atmos. Sci. 65, 1749– 1772. -
Källen
, E.and Huang, X.-Y.. The influence of isolated observations on short-range numerical weather forecasts. Tellus, 324– 336. -
Leith
, C.. Theoretical skill of Monte Carlo forecasts. Mon. Wea. Rev. 1974, 409– 418. -
Leutbecher
, M.and Palmer, T. N.. Ensemble forecasting. J. Com-put. Phys. 227, 3515– 3539. -
Lindzen
, R. S.and Farrell, B.. A simple approximate result for the maximum growth rate of baroclinic instabilities. J. Atmos. Sci. 37, 1648– 1654. -
Lorenz
, E. N.. Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130– 141. -
Lorenz
, E. N.. A study of the predictability of a 28-variable atmo-spheric model. Tellus, 321– 333. -
Lorenz
, E. N.. The predictability of a flow which posses many scales of motion. Tellus, 289– 307. -
Lorenz
, E. N.. Atmospheric predictability experiments with a large numerical model. Tellus, 505– 513. -
Magnusson
, L., Källen, E.and Nycander, J.. Initial state pertur-bations in ensemble forecasting. Nonlinear Processes Geophy. 15, 751– 759. -
Magnusson
, L., Leutbecher, M.and Källen, E.. Comparison be-tween singular vectors and breeding vectors as initial perturbations of ECMWF Ensemble Prediction System. Mon. Wea. Rev. 136, 4092– 4104. -
McLay
, J. G., Bishop, C. H.and Reynolds, C. A.. Evaluation of the ensemble transform analysis perturbation scheme at NRL. Mon. Wea. Rev. 136, 1093– 1108. -
Mureau
, R., Molteni, F.and Palmer, T.. Ensemble prediction using dynamically conditioned perturbations. Quart. J. R. Meteorol. Soc. 119, 299– 323. -
Murphy
, A. H.. A new vector partition of the pobability score. J. AppL Meteorol. 12, 595– 600. -
Palmer
, T. N.. Extended-range atmospheric prediction and the Lorenz Model. Bull. Am. Meteorol. Soc. 74, 49– 66. -
Reinhold
, B.. Structural determinism of linear baroclinic waves and simple nonlinear equilibration. J. Atmos. Sci. 43, 1484– 1504. -
Reynolds
, C. A., Teixeira, J.and McLay, J. G.. Impact of stochastic convection on the ensemble transform. Mon. Wea. Rev. 136, 4517– 4526. -
Roulston
, M. S.and Smith, L. A.. Evaluating probabilistic forecasts using information theory. Mon. Wea. Rev. 130, 1653– 1660. -
Schubert
, S. D.and Suarez, M.. Dynamical predictability in a simple general circulation model: average error growth. J. Atmos. Sci. 46, 353– 370. -
Szunyogh
, I., Kostelich, E. J., Gyarmati, G., Kalnay, E., Hunt, B. R., and co-authors. 2008. A local ensemble transform Kalman filter data assimilation system for the NCEP global model. Tellus 60A, 113- 130. -
Talagrand
, J., Vautard, R.and Strauss, B.. Evaluation of probabilis-tic prediction system, In: Proceedings of Workshop on Predictability, October 1997, ECMWF. -
Talagrand
, J., Candille, G.and Descamps, L.. On some aspects of validation of probabilistic prediction, In: Proceedings of Workshop on Ensemble prediction, November 2007, ECMWF. -
Toth
, Z.and Kalnay, E.. Ensemble forecasting at NCEP: the generation of perturbation. Bull. Am. MeteoroL Soc. 74, 2317– 2330. -
Toth
, Z.and Kalnay, E.. Ensemble forecasting at NCEP and the breeding method. Mon. Wea. Rev. 125, 3297– 3319. -
Trevisan
, A.. Impact of transient error growth on global average predictability measures. J. Atmos. Sci. 50, 1016– 1028. -
Tribbia
, J. J.and Baumhefner, D. P.. Estimates of the predictability of low-frequency variability with a spectral general circulation model. J. Atmos. Sci. 45, 2306– 2317. -
Vallis
, K. G., Atmospheric and Oceanic Fluid Dynamics . Cam-bridge University Press, Cambridge, p. 745. -
Wang
, X.and Bishop, C.. A comparison of breeding and ensemble transform Kalman filter ensemble forecast schemes. J. Atmos. Sci. 60, 1140– 1158. -
Wang
, X., Bishop, C.and Julier, S.. Which is better, an ensemble of positive-negative pairs or a centered spherical simplex ensemble?. 132, 1590– 1605. -
Wei
, M.and Toth, Z.. A new measure of ensemble performance: perturbation versus error correlation analysis (PECA). Mon. Wea. Rev. 131, 1549– 1565. -
Wei
, M., Toth, Z., Wobus, R.and Zhu, Y.. Initial perturbations based on the ensemble transform (ET) technique in the NCEP global ensemble forecast systems. Tellus, 62– 79. -
Wilks
, D. S.. Resampling hypothesis tests for autocorrelated fields. J. Clim. 10, 65– 82. -
Wilks
, D. S., Statistical Methods in the Atmospheric Sciences 2nd Edition . Academic Press, London, p. 627. -
Zhang
, F.. Dynamics and structure of mesoscale error covariance of a winter cyclone estimated through short-range ensemble forecasts. Mon. Wea. Rev. 133, 2876– 2893.
DOI: https://doi.org/10.1111/j.1600-0870.2008.00385.x | Journal eISSN: 3035-9554
Language: English
Page range: 194 - 209
Submitted on: Jun 12, 2008
Accepted on: Nov 27, 2008
Published on: Jan 1, 2009
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2009 Linus Magnusson, Jonas Nycander, Erland Källén, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.