Maximizing the statistical diversity of an ensemble of bred vectors by using the geometric norm

Journal of the Atmospheric Sciences

Volumn 68, Issue 7, 2011, Pages 1507-1512

  Pazó, Diego ^a   Rodríguez, Miguel A ^a   López, Juan M ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Ensembles; Lyapunov vectors; Numerical weather prediction forecasting

Indexed keywords

ENSEMBLES; EUCLIDEAN; LYAPUNOV VECTORS; NUMERICAL INTEGRATIONS; NUMERICAL WEATHER PREDICTION; STATISTICAL DIVERSITY; TOY MODELS;

CHAOTIC SYSTEMS; GEOMETRY;

VECTORS;

ATMOSPHERIC MODELING; ENSEMBLE FORECASTING; GEOMETRY; GEOSTATISTICS; NUMERICAL MODEL; WEATHER FORECASTING;

EID: 79960309123     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2011JAS3729.1     Document Type: Article

References (26)

1. Anderson, J. L., 2001 An ensemble adjustment Kalman filter for data assimilation. Mon. Wea. Rev., 129, 2884-2903.
2. Annan, J. D., 2004 On the orthogonality of bred vectors. Mon. Wea. Rev., 132, 843-849.
3. Bishop, C. H., and Z. Toth, 1999 Ensemble transformation and adaptive observations. J. Atmos. Sci., 56, 1748-1765.
4. Bretherton, C. S., M. Widmann, V. P. Dymnikov, J. M. allace, and I. Bladé, 1999 The effective number of spatial degrees of freedom of a time-varying field. J. Climate, 12, 1990-2009.
5. Corazza, M., and Coauthors, 2003 Use of the breeding technique to estimate the structure of the analysis "errors of the day." Nonlinear Processes Geophys., 10, 233-243.
6. Gneiting, T., and A. E. Raftery, 2005 Weather forecasting with ensemble methods. Science, 310, 248-249.
7. Hallerberg, S., D. Pazó, J. M. López, and M. A. Rodríguez, 2010 Logarithmic bred vectors in spatiotemporal chaos: Structure and growth. Phys. Rev. E, 81, 066204, doi:10.1103/PhysRevE.81.066204.
8. Kalnay, E., 2003 Atmospheric Modeling, Data Assimilation and Predictability. Cambridge University Press, 341 pp.
9. Kalnay, E., M. Corazza, and M. Cai, 2002 Are bred vectors the same as Lyapunov vectors? Preprints, Symp. on Observations, Data Assimilation, and Probabilistic Prediction, Orlando, FL, Amer. Meteor. Soc., 173-177.
10. Keller, J. D., A. Hense, L. Kornblueh, and A. Rhodin, 2010 On the orthogonalization of bred vectors. Wea. Forecasting, 25, 1219-1234.
11. Lorenz, E. N., 1996 Predictability a problem partly solved. Proc. Seminar on Predictability, Vol. I, T. Palmer, Ed., ECMWF, Reading, United Kingdom, 1-18.
12. Lorenz, E. N., 2006 Regimes in simple systems. J. Atmos. Sci., 63, 2056-2073.
13. Lorenz, E. N., and K. A. Emanuel, 1998 Optimal sites for supplementary weather observations: Simulations with a small model. J. Atmos. Sci., 55, 399-414.
14. Newman, C. E., P. L. Read, and S. R. Lewis, 2004 Investigating atmospheric predictability on Mars using breeding vectors in a general-circulation model. Quart. J. Roy. Meteor. Soc., 130, 2971-2989.
15. Oczkowki, M., I. Szunyogh, and D. J. Patil, 2005 Mechanisms for the development of locally low-dimensional atmospheric dynamics. J. Atmos. Sci., 62, 1135-1156.
16. Patil, D. J., B. R. Hunt, E. Kalnay, J. A. Yorke, and E. Ott, 2001 Local low dimensionality of atmospheric dynamics. Phys. Rev. Lett., 86, 5878-5881.
17. Pazó, D., M. A. Rodríguez, and J. M. López, 2010 Spatio-temporal evolution of perturbations in ensembles initialized by bred, Lyapunov and singular vectors. Tellus, 62A, 10-23.
18. Primo, C., M. A. Rodríguez, J. M. López, and I. Szendro, 2005 Predictability, bred vectors, and generation of ensembles in space-time chaotic systems. Phys. Rev. E, 72, 015201, doi:10.1103/PhysRevE.72.015201.
19. Primo, C., I. G. Szendro, M. A. Rodríguez, and J. M. López, 2006 Dynamic scaling of bred vectors in spatially extended chaotic systems. Europhys. Lett., 76, 767-773.
20. Primo, C., M. A. Rodríguez, and J. M. Gutiérrez, 2008 Logarithmic bred vectors. A new ensemble method with adjustable spread and calibration time. J.Geophys.Res., 113, D05116, doi:10.1029/2007JD008998.
21. Toth, Z., and E. Kalnay, 1993 Ensemble forecasting at NMC: The generation of perturbations. Bull. Amer. Meteor. Soc., 74, 2317-2330.
22. Toth, Z., and E. Kalnay, 1997 Ensemble forecasting at NCEP and the breeding method. Mon. Wea. Rev., 125, 3297-3319.
23. Wang, X., and C. Bishop, 2003 A comparison of breeding and ensemble transform Kalman filter ensemble forecast schemes. J. Atmos. Sci., 60, 1140-1158.
24. Wei, M., Z. Toth, R. Wobus, Y. Zhu, C. Bishop, and X. Wang, 2006 Ensemble transform Kalman filter-based ensemble perturbations in an operational global prediction system at NCEP. Tellus, 58A, 28-44.
25. Wei, M., Z. Toth, R. Wobus, and Y. Zhu, 2008 Initial perturbations based on the ensemble transform (ET) technique in the NCEP global operational forecast system. Tellus, 60A, 62-79.
26. Young, R. M. B., and P. L. Read, 2008 Breeding and predictability in the baroclinic rotating annulus using a perfect model. Nonlinear Processes Geophys., 15, 469-487.