A comparison of variance and total-energy singular-vectors

Quarterly Journal of the Royal Meteorological Society

Volumn 131, Issue 609, 2005, Pages 1955-1973

  Reynolds, C A ^a   Gelaro, R ^b   Rosmond, T E ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NASA HEADQUARTERS   (United States)

Author keywords

Adaptive observing; Forecast error; Predictability; Pseudo inverse

Indexed keywords

ERROR ANALYSIS; ESTIMATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; STATISTICAL METHODS; VECTORS;

ADAPTIVE OBSERVING; FORECAST ERROR; PREDICTABILITY; PSEUDO-INVERSE FORECAST CORRECTIONS; SINGULAR VECTORS (SVS);

WEATHER FORECASTING;

DATA ASSIMILATION; ERROR ANALYSIS; WEATHER FORECASTING;

EID: 27644456200     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/qj.04.132     Document Type: Article

References (32)

1. Baker, N. L. and Daley, R. 2000 Observation and background adjoint sensitivity in the adaptive observation-targeting problem. Q. J. R. Meteeorol. Soc., 126, 1431-1454
2. Barkmeijir, J., Van Gijzen, M. and Bouttier, F. 1998 Singular vectors and estimates of the analysis-error covariance metric. Q. J. R. Meteorol. Soc., 124, 1695-1713
3. Barkmeijir, J., Buizza, R. and Palmer, T. N. 1999 3D-Var Hessian singular vectors and their potential use in the ECMWF Ensemble Prediction System. Q. J. R. Meteorol. Soc., 125, 2333-2351
4. Bergot, T. 1999 Adaptive observations during FASTEX: A systematic survey of upstream flights. Q. J. R. Meteorol. Soc., 125, 3271-3298
5. Bishop, C. H., Etherton, B. J, and Majumdar, S. J. 2001 Adaptive sampling with the ensemble transform Kalman filter. Part I: Theorotical Aspects. Mon. Weather Rev., 129, 420-436
6. Buizza, R. 1994 Localization of optimal peruturbations using a projection operator. Q. J. R. Meteorol. Soc., 120, 1647-1681
7. Buizza, R. and Montani, A. 1999 Targeting observations using singular vectors. J. Atmos. Sci., 56, 2965-2985
8. Daley, R. and Barker, E. 2000 'The NAVDAS sourcebook', Naval Reaserch Laboratory NRL/PU/7530-00-418, available from the Naval Reaserch Laboratory, Monterey, CA 93943-5502, USA
9. Daley, R. and Barker, E. 2001 NAVDAS: Formation and diagnostics. Mon. Weather Rev., 129, 869-883
10. Ehrendorfer, M. and Tribbia, J. J. 1997 Optimal prediction of forecast error covariances through singular vectors. J. Atmos. Sci., 54, 286-313
11. Errico, R. M. 2000 Interpretations of the total energy and rotational energy norms applied to determination of singular vectors. Q, J. R. Meteorol. Soc., 126, 1581-1599
12. Farrell, B. F. 1990 Small error dynamics and the predictability of atmospheric flows. J. Atmos. Sci., 47, 2409-2416
13. Gelaro, R., Buizza, R., Palmer, T. N. and Klinker, E. 1998 Sensitivity analysis of forecast errors and the concstruction of optimal perturbations using singular vectors. J. Atmos. Sic., 55, 1012-1037
14. Gelaro, R., Langland, R. H., Rohaly, G. D. and Rosmond, T. E. 1999 An assessment of the singular-vector approach to targeted observations using the FASTEX data set. Q. J. R. Meteorol. Soc., 125, 3299-3327
15. Gelaro, R., Reynolds, C. A., Langland, R. H. and Rohaly, G. D. 2000 A predictability study using geostationary satellite wind observations during NORPEX. Mon. Weather Rev., 128, 3789-3807
16. Gelaro, R., Rosmond, T. and Daley, R. 2002 Singular vector calculations with an analysis error variance metric. Mon. Weather Rev. 130, 1166-1186
17. Hamill, T. M., Snyder, C. and Whitaker, J. S. 2003 Ensemble forecast and the properties of flow-dependent analysis-error covariance singular vectors. Mon. Weather Rev. 119, 1786-1815
18. Hogan, T. F. and Rosmond, T. E. 1991 The description of the Navy operational global atmospheric prediction system's spectral forecast model. Mon. Weather Rev. 119, 1786-1815
19. Klinker, E., Rabier, F. and Gelaro, R. 1998 Estimation of key analysis errors using the adjoint technique. Q. J. R. Meteorol. Soc., 124, 1909-1933
20. Langland, R. H. and Baker, N. L. 2004 Estimation of observation impact using the NRL atmospheric variational data assimilation adjoint system. Tellus, 56A, 189-201
21. Langland, R. H., Gelaro, R., Rohaly, G. D. and Shapiro, M. A. 1999 Targeted observations in FASTEX: Adjoint-based targeting procedures and data impact experiments in IOP17 and IOP18. Q. J. R. Meteorol. Soc., 125, 3241-3270
22. Leutbecher, M., Barkmeijer, J., Palmer, T. N. and Thorpe, A. J. 2002 Potential improvement to forecasts of two severe storms using targeted observations. Q. J. R. Meteorol. Soc., 128, 1641-1670
23. Lorenz, E. N. 1965 A study of the predictability of a 28-variable atmospheric model. Tellus, 17, 321-333
24. Molteni, F. and Palmer, T. N. 1993 Predictability and finite-time instability of the northern winter circulation. Q. J. R. Meteorol. Soc., 119, 269-298
25. Molteni, F., Buizza, R., Palmer, T. N. and Petroliagis, T. 1996 The ECMWF Ensemble Prediction System: Methodology and validation. Q. J. R. Meteorol. Soc., 122, 73-119
26. Montani, A. and Thorpe, A. J. 2002 Mechanisms leading to singular-vector growth for FASTEX cyclones. Q. J. R. Meteorol. Soc., 128, 131-148
27. Orrell, D., Smith, L., Barkmeijer, J. and Palmer, T. N. 2001 Model error in weather forecasting. Nonlinear Processes in Geophysics, 8, 357-371
28. Palmer, T. N., Gelaro, R., Barkmeijer, J. and Buizza, R. 1998 Singular vectors, metrics and adaptive observations. J. Atmos. Sci., 55, 633-653
29. Rabier, F., Klinker, E., Courtier, P. and Hollingsworth, A. 1996 Sensitivity of forecast errors to initial conditions. Q. J. R. Meteorol. Soc., 122, 121-150
30. Reynolds, C. A. and Rosmond, T. E. 2003 Nonlinear growth of singular vector-based perturbations. Q. J. R. Meteorol. Soc., 129, 3059-3078
31. Rosmond, T. E. 1997 'A technical description of the NRL adjoint modeling system'. Naval Research Laboratory NRL/MR/7532/97/7230, available from the Naval Research Laboratory, Monterey, CA 93943-5502, USA
32. Wang, X. and Bishop, C. H. 2003 A comparison of breeding and ensemble transform Kalman filter ensemble forecast schemes. J. Atmos. Sci., 60, 1140-1158