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Ensemble singular vectors and their use as additive inflation in EnKF Cover

Ensemble singular vectors and their use as additive inflation in EnKF

Open Access
|Dec 2015

References

  1. Anderson J. L. , Anderson S. L . A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts . Mon. Weather Rev . 1999 ; 127 : 2741 2758 .
  2. Annan J. D . On the orthogonality of bred vectors . Mon. Weather Rev . 2003 ; 132 : 843 849 .
  3. Barkmeijer J. , Buizza R. , Palmer T. N. , Puri K. , Mahfouf J.-F . Tropical singular vectors computed with linearized diabatic physics . Q. J. R. Meteorol. Soc . 2001 ; 127 : 685 708 .
  4. Bishop C. H. , Etherton B. , Majumdar S. J . Adaptive sampling with the ensemble transform Kalman filter. Part I: theoretical aspects . Mon. Weather Rev . 2001 ; 129 : 420 436 .
  5. Bishop C. H. , Toth Z . Ensemble transformation and adaptive observations . J. Atmos. Sci . 1999 ; 56 : 1748 1765 .
  6. Bojarova J. , Gustafsson N. , Johansson Å. , Vignes O . The ETKF rescaling scheme in HIRLAM . Tellus A . 2011 ; 63 : 385 401 . DOI: 10.1111/j.1600-0870.2011.00513.x .
  7. Buizza R. , Palmer T. N . The singular-vector structure of the atmospheric global circulation . J. Atmos. Sci . 1995 ; 52 : 1434 1456 .
  8. Buizza R. , Tribba J. , Molteni F. , Palmer T . Computational of optimal unstable structures for a numerical weather prediction model . Tellus A . 1993 ; 45 : 388 407 .
  9. Chen J.-H. , Peng M. S. , Reynolds C. A. , Wu C.-C . Interpretation of tropical cyclone forecast sensitivity from the singular vector perspective . J. Atmos. Sci . 2009 ; 56 : 1748 1765 .
  10. Chen S.-G. , Wu C.-C. , Chen J.-H. , Chou K.-H . Validation and interpretation of adjoint-derived sensitivity steering vector as targeted observation guidance . Mon. Weather Rev . 2011 ; 139 : 1608 1625 .
  11. Corazza M. , Kalnay E. , Patil D. J. , Yang S.-C. , Morss R. , co-authors . Use of the breeding technique to estimate the structure of the analysis “error of the day . Nonlinear Process. Geophys . 2003 ; 10 : 233 243 .
  12. Corazza M. , Kalnay E. , Yang S.-C . An implementation of the local ensemble Kalman filter in a quasigeostrophic model and comparison with 3D-Var . Nonlinear Proc. Phys . 2007 ; 14 : 89 101 .
  13. Dey C. , Morone L. L . Evolution of the national meteorological center global data assimilation system: January 1982–December 1983 . Mon. Weather Rev . 1985 ; 113 : 304 318 .
  14. Doyle J. D. , Reynolds C. A. , Amerault C. , Moskaitis J . Adjoint sensitivity and predictability of tropical cyclogenesis . J. Atmos. Sci . 2012 ; 69 : 3535 3557 .
  15. Enomoto T. , Yamane S. , Ohfuchi W . Simple sensitivity analysis using ensemble forecast . Proceedings of Third Workshop on Mechanisms of Climate Variation and its Predictability . 2006 ; Kyoto : Disaster Prevention Research Institute, Kyoto University . 40 43 . (In Japanese.) .
  16. Enomoto T. , Yamane S. , Ohfuchi W . Simple sensitivity using ensemble forecasts . J. Meteorol. Soc. Jpn . 2015 ; 93 : 199 213 . DOI: 10.2151/jmsj.2015-011 .
  17. Errico R. M. , Vukićević T . Sensitivity analysis using an adjoint of the PSU–NCAR mesoscale model . Mon. Weather Rev . 1992 ; 120 : 1644 1660 .
  18. Fujita T. , Stensrud D. , Dowell D. C . Surface data assimilation using an ensemble filter approach with initial condition and model physics uncertainties . Mon. Weather Rev . 2007 ; 135 : 1846 1868 .
  19. Gelaro R. , Langland R. , Rohaly G. D. , Rosmond T. E . An assessment of the singular vector approach to targeted observing using the FASTEX dataset . Q. J. Roy. Meteorol. Soc . 1999 ; 125 : 3299 3328 .
  20. Greybush S. J. , Kalnay E. , Miyoshi T. , Ide K. , Hunt B. R . Balance and ensemble Kalman filter localization techniques . Mon. Weather Rev . 2011 ; 139 : 511 522 .
  21. Houtekamer P. L. , Mitchell H. L. , Pellerin G. , Buehner M. , Charron M. , coauthors . Atmospheric data assimilation with an ensemble Kalman filter: results with real observations . Mon. Weather Rev . 2005 ; 133 : 604 620 .
  22. Hunt B. , Kostelich E. , Syzunogh I . Efficient data assimilation for spatiotemporal chaos: a local ensemble transform Kalman filter . Physica D . 2007 ; 230 : 112 126 .
  23. Ito K. , Wu C.-C . Typhoon-position-oriented sensitivity analysis. Part I: theory and verification . J. Atmos. Sci . 2013 ; 70 : 2525 2546 .
  24. Kalnay E . Atmospheric Modeling, Data Assimilation and Predictability . 2003 ; New York, NY, USA : Cambridge University Press . 340 .
  25. Kalnay E. , Li H. , Miyoshi T. , Yang S.-C. , Ballabrera-Poy J . Response to the discussion on “4D-var or ensemble Kalman filter?” . Tellus A . 2007 ; 59 : 778 780 .
  26. Kalnay E. , Toth Z . Removing growing errors in the analysis cycle . Tenth Conference on Numerical Weather Prediction . Portland : American Meteorological Society . 212 215 .
  27. Kalnay E. , Yang S.-C . Accelerating the spin up of the LETKF . Q. J. Roy. Meteorol. Soc . 2010 ; 136 : 1644 1651 .
  28. Lang S. T. K. , Leutbecher M. , Jones S. C . Impact of perturbation methods in the ECMWF ensemble prediction system on tropical cyclone forecasts . Q. J. Roy. Meteorol. Soc . 2012 ; 138 : 2030 2046 .
  29. Matsueda M. , Kyouda M. , Toth Z. , Tanaka H. L. , Tsuyuki T . Predictability of an atmospheric blocking event that occurred on 15 December 2005 . Mon. Weather Rev . 2011 ; 139 : 2455 2470 .
  30. Morss R. E . Adaptive observations: idealized sampling strategies for improving numerical weather prediction .
  31. Norwood A. , Kalnay E. , Ide K. , Yang S-C. , Wolfe C . Lyapunov, singular and bred vectors in a multi-scale system: an empirical exploration of vectors related to instabilities . J. Phys. A, . 2013 ; 46 : 20 .
  32. Nishii K. , Nakamura H . Three-dimensional evolution of ensemble forecast spread during the onset of a stratospheric sudden warming event in January 2006 . Q. J. Roy. Meteorol. Soc . 2010 ; 136 : 894 905 .
  33. Palmer T. N. , Gelaro R. , Barkmeijer J. , Buizza R . Singular vectors, metrics and adaptive observations . J. Atmos. Sci . 1998 ; 55 : 633 653 .
  34. Peña M. , Kalnay E . Separating fast and slow modes in coupled chaotic systems . Nonlinear Process. Geophys . 2004 ; 11 : 319 327 .
  35. Rabier F. , Klinker E. , Courtier P. , Hollingsworth A . Sensitivity of forecast errors to initial conditions . Q. J. Roy. Meteorol. Soc . 1996 ; 122 : 121 150 .
  36. Rotunno R. , Bao J. W . A case study of cyclogenesis using a model hierarchy . Mon. Weather Rev . 1996 ; 124 : 1051 1066 .
  37. Snyder C. , Hamill T. M. , Trier S. B . Linear evolution of error covariances in a quasigeostrophic model . Mon. Weather Rev . 2003 ; 131 : 189 205 .
  38. Toth Z. , Kalnay E . Ensemble forecasting at NMC: the generation of perturbations . Bull. Am. Meteorol. Soc . 1993 ; 74 : 2317 2330 .
  39. Toth Z. , Kalnay E . Ensemble forecasting at NCEP and the breeding method . Mon. Weather Rev . 1997 ; 125 : 3297 3319 .
  40. Whitaker J. S. , Hamill T. M. , Wei X. , Song Y. , Toth Z . Ensemble data assimilation with the NCEP Global Forecast System . Mon. Weather Rev . 2008 ; 136 : 463 481 .
  41. Wu C.-C. , Chen J.-H. , Majumdar S. J. , Peng M. S. , Reynolds C. A. , co-authors . Inter-comparison of targeted observation guidance for tropical cyclones in the north western Pacific . Mon. Weather Rev . 2009 ; 137 : 2471 2492 .
  42. Yamaguchi M. , Iriguchi T. , Nakazawa T. , Wu C.-C . An observing system experiment for typhoon Conson (2004) using a singular vector method and DOTSTAR data . Mon. Weather Rev . 2009 ; 137 : 2801 2816 .
  43. Yang S.-C . Bred vectors in the NASA NSIPP Global Coupled Model and their application to coupled ensemble predictions and data assimilation, Appendix B .
  44. Yang S.-C. , Baker D. , Li H. , Huff M. , Nagpal G. , co-authors . Data assimilation as synchronization of truth and model: experiments with the 3-variable Lorenz system . J. Atmos. Sci . 2006 ; 63 : 2340 2354 .
  45. Yang S.-C. , Corazza M. , Carrassi A. , Kalnay E. , Miyoshi T . Comparison of ensemble-based and variational-based data assimilation schemes in a quasi-geostrophic model . Mov. Weather Rev . 2009 ; 137 : 693 709 .
  46. Yang S.-C. , Kalnay E . Handling nonlinearity and non-Gaussianity in ensemble Kalman filter. submitted to a special collection “Intercomparisons of 4D-variational assimilation and the ensemble Kalman filter.” . Mon. Weather Rev . 2012 ; 140 : 2628 2646 .
  47. Yang S-C. , Kalnay E. , Miyoshi T . Improve EnKF spin-up for typhoon assimilation and prediction . Weather Forecast . 2012 ; 27 : 878 897 .
  48. Yang S.-C. , Lin K.-J. , Miyoshi T. , Kalnay E . Improving the spin-up of regional EnKF for typhoon assimilation and forecasting with Typhoon Sinlaku (2008) . Tellus A . 2013 ; 65 : 20804 . , doi: http://dx.doi.org/10.3402/tellusa.v65i0.20804 .
  49. Zhang F. , Snyder C. , Sun J . Impacts of initial estimate and observation availability on convective-scale data assimilation with an ensemble Kalman filter . Mon. Weather Rev . 2004 ; 132 : 1238 1253 .
Language: English
Page range: 26536 - 26536
Submitted on: Nov 2, 2014
Accepted on: Jun 23, 2015
Published on: Dec 1, 2015
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2015 Shu-Chih Yang, Eugenia Kalnay, Takeshi Enomoto, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.