Skip to main content
Have a personal or library account? Click to login
Adaptive observations and assimilation in the unstable subspace by breeding on the data-assimilation system Cover

Adaptive observations and assimilation in the unstable subspace by breeding on the data-assimilation system

Open Access
|Jan 2007

References

  1. Benettin , G. , Galgani , L. , Giorgilli , A. and Strelcyn , J. M. 1980 . Lya-punov characteristic exponents for smooth dynamical system and for Hamiltonian system; a method for computing them. Meccanica 15 , Part I: theory 9-20—Part II: application 21 - 30 .
  2. Bleck , R., 1978 . Simulation of coastal upwelling frontogenesis with an isopycnic coordinate model . J. Geophys. Res . 83C , 6163 6172 .
  3. Corazza , M. , Kalnay , E. , Patil , D. J. , Yang , S. C. , Morss , R. and co-authors. 2003. Use of the breeding technique to estimate the structure of the analysis ‘error of the day’ . Nonlin. Processes Geophys . 10 , 233 - 243 .
  4. Daley , R. 1991 . Atmospheric Data Analysis , Cambridge University Press , Cambridge , 457 pp .
  5. Fourrié , N. , Marchal , D. , Rabier , E. and Chapnik Desroziers , G. 2006 . Impact study of the 2003 north Atlantic THORPEX regional campaign. Quart. J. Roy. Meteorol. Soc . 132 , 275 - 295 .
  6. Ghil , M. and Todling , R. 1996 . Tracking atmospheric instabilities with the Kalman filter. Part II: Two-layer results. Mon. Wea. Re v . 124 , 2340 2352 .
  7. Ghil , M. 1997 . Advances in sequential estimation for atmospheric and oceanic flows . J. Meteorol. Soc. Japan 75 , 289 304 .
  8. Hamill , T. M. and Snyder , C. 2000 . A hybrid ensemble Kalman filter-3D-variational analysis scheme. Mon. Wea. Re v . 128 , 2905 2919 .
  9. Hamill , T. M. and Snyder , C. 2002 . Using improved background-error covariances from an ensemble Kalman filter for adaptive observations. Mon. Wea. Re v . 130 , 1552 1572 .
  10. Hamill , T. M. , Snyder , C. and Morss , R. E. 2002 . Analysis-error statistics of a quasigeostrophic model using three-dimensional variational assimilation. Mon. Wea. Re v . 130 , 2777 2790 .
  11. Ide , K. , Courtier , P. , Ghil , M. and Lorenc , A. C. 1997 . Unified notation for data-assimilation: Operational, sequential and variational . J. Meteorol. Soc. Japan 75 , 181 189 .
  12. Kalnay , E. 2003 . Atmospheric Modelling, Data Assimilation and Predictability , Cambridge University Press , Cambridge , 341 pp .
  13. Legras , B. and Vautard , R. 1996 . A guide to Lyapunov vectors. In: Pre-dictability Volume 1, Seminar Proceedings , ECMWF, Reading , UK , pp. 143 - 156 .
  14. Lorenz , E. N. 1984 . The local structure of a chaotic attractor in four dimensions . Physica 13D , 90 104 .
  15. Lorenz , E. N. 1996 . Predictability: a problem partly solved. In: Pre-dictability Volume 1, Seminar Proceedings , ECMWF, Reading , UK , pp. 1 - 18 .
  16. Lorenz , E. N. and Emanuel , K. A. 1998 . Optimal sites for supplementary weather observations: Simulation with a small model. J. Atmos. Sc i . 55 , 399 414 .
  17. Morss , R. E. 1999 . Idealized sampling strategies for improving numerical weather prediction. PhD Thesis, Massachussets Institute of Technology, Cambridge, MA. Available from UMI Dissertation Services, 300 N.Zeeb Rd ., Ann Arbor, MI 48106 , 225 pp .
  18. Morss , R. E. , Emanuel , K. A. and Snyder , C. 2001 . Idealized adaptive observation strategies for improving numerical weather prediction. J. Atmos. Sc i . 58 , 210 232 .
  19. Oseledec , V. I. 1968 . A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems . Trans. Moscow Math. Soc . 19 , 197 231 .
  20. Parrish , D. E and Derber , J. D. 1992 . The National Meteorological Center spectral statistical interpolation analysis system. Mon. Wea. Re v . 120 , 1747 1763 .
  21. Pires , C. , Vautard , R. and Talagrand , O. 1996 . On extending the limits of variational assimilation in chaotic systems . Tellus 48A , 96 121 .
  22. Rotunno , R. and Bao , J. W. 1996 . A case study of cyclogenesis using a model hierarchy. Mon. Wea. Re v . 124 , 1051 1066 .
  23. Snyder , C. and Hamill , T. M. 2003 . Leading Lyapunov Vectors of a Turbulent Baroclinic Jet in a Quasigeostrophic Model. J. Atmos. Sc i . 60 , 683 688 .
  24. Szunyogh , I. , Toth , Z. , Zimin , A. V. , Majumdar , S. J. and Persson , A. 2002 . Propagation of the effect of targeted observations: the 2000 Winter Storm Reconnaissance Program. Mon. Wea. Re v . 130 , 1144 1165 .
  25. Talagrand , O. 1997 . Assimilation of observations, an introduction . J. Meteorol. Soc. Japan 75 , 191 209 .
  26. Todling , R. and Ghil , M. 1994 . Tracking atmospheric instabilities with the Kalman filter. Part I: Methodology and one-layer results. Mon. Wea. Re v . 122 , 183 204 .
  27. Toth , Z. and Kalnay , E. 1993 . Ensemble forecasting at NMC: The generation of perturbations . Bull. Amer. Meteorol. Soc . 74 , 2317 2330 .
  28. Toth , Z. and Kalnay , E. 1997 . Ensemble forecasting at NCEP: the breeding method. Mon. Wea. Re v . 125 , 3297 3318 .
  29. Trevisan , A. and Pancotti , E 1998 . Periodic orbits, Lyapunov vectors and singular vectors in the Lorenz system. J. Atmos. Sc i . 55 , 390 398 .
  30. Trevisan , A. and Uboldi , E 2004 . Assimilation of Standard and Tar-geted Observations within the Unstable Subspace of the Observation-Analysis-Forecast Cycle System. J. Atmos. Sc i . 61 , 103 113 .
  31. Uboldi , E , Trevisan , A. and Carrassi , A. 2005 . Developing a dynamically based assimilation method for targeted and standard observations . Nonlin. Processes Geophys . 12 , 149 156 .
  32. Uboldi , E and Trevisan , A . 2006 . Detecting unstable structures and con-trolling error growth by assimilation of standard and adaptive observa-tions in a primitive equation ocean model . Nonlin. Processes Geophys . 13 , 67 81 .
  33. Vannitsem , S. 2003 . Intrinsic error growth in a large-domain eta regional model. Mon. Wea. Re v . 131 , 2697 2704 .
  34. Wang , X. and Bishop , C. H. 2003 . A comparison of breeding and en-semble transform Kalman filter ensemble forecast scheme. J. Atmos. Sc i . 60 , 1140 1158 .
Language: English
Page range: 101 - 113
Submitted on: Jan 11, 2006
Accepted on: Sep 3, 2006
Published on: Jan 1, 2007
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2007 Alberto Carrassi, Anna Trevisan, Francesco Uboldi, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.