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Notes on the appropriateness of ‘‘bred modes’’ for generating initial perturbations used in ensemble prediction Cover

Notes on the appropriateness of ‘‘bred modes’’ for generating initial perturbations used in ensemble prediction

Open Access
|Jan 1999

References

  1. Abarbanel , H. D. I. , Brown , R. , Sidorowich , J. J. and Tsimring , L. S . 1993 . The analysis of observed data in physical systems . Rev. Modern Phys . 65 , 1331 1392 .
  2. Anderson , J. L . 1996 . Selection of initial conditions for ensemble forecasts in a simple perfect model frame-work. J. Atmos. Sc i . 53 , 22 36 .
  3. Barkmeijer , J. , Houtekamer , P. and Wang , X . 1993 . Validation of a skill prediction method . Tellus 45A , 424 434 .
  4. Bourke , W. and McGregor , J. L . 1983 . A nonlinear vertical mode initialization scheme for a limited area prediction model . Mon. Wea. Rev . 111 , 2285 2297 .
  5. Buizza , R. , Tribbia , J. , Molteni , F. and Palmer , T. N . 1993 . Computation of optimal unstable structures for a numerical prediction model . Tellus 45A , 388 407 .
  6. Buizza , R. , Gelaro , R. , Molteni , F. and Palmer , T. N . 1997 . The impact of increased resolution on predictability studies with singular vectors . Quart. J. Roy. Meteor. Soc . 123 , 1007 1033 .
  7. Buizza , R. and Palmer , T. N . 1995 . The singular vector structure of the atmospheric general circulation. J. Atmos. Sc i . 52 , 1434 1456 .
  8. Charney , J. G . 1947 . The dynamics of long waves in a baroclinic westerly current. J. Meteorol. 4,135-162. Daley, R. 1981. Predictability experiments with a baroclinic model . Atmos. Ocean 19 , 77 89 .
  9. Daley , R . 1991 . Atmospheric data analysis . Cambridge University Press, 420 pp.
  10. Eckhardt , B. and Yao , D . 1993 . Local Lyapunov exponents in chaotic systems . Physica D65 , 100 108 .
  11. Ehrendorfer , M . 1994 . The Liouville equation and its potential usefulness for the prediction of forecast skill. Part I: Theory . Mon. Wea. Re v . 122 , 703 713 .
  12. Ehrendorfer , M . 1997 . Predicting the uncertainty of numerical weather forecasts . Meteorol. Zeitschrift 6 , 147 183 .
  13. Ehrendorfer , M. and Errico , R. M . 1995 . Mesoscale predictability and the spectrum of optimal perturbations. J. Atmos. Sc i . 52 , 3475 3500 .
  14. Ehrendorfer , M. and Tribbia , J. J . 1997 . Optimal prediction of forecast error covariances through singular vectors. J. Atmos. Sc i . 54 , 286 313 .
  15. Ehrendorfer , M. , Errico , R. M. and Raeder , K. D . 1999 . Singular-vector perturbation growth in a primitive-equation model with moist physics . J. Atmos. Sci ., in press .
  16. Epstein , E. S . 1969 . Stochastic dynamic prediction . Tellus 21 , 730 759 .
  17. Errico , R. M . 1981 . An analysis of interactions between geostrophic and ageostrophic modes in a simple model. J. Atmos. Sc i . 38 , 544 553 .
  18. Errico , R. M . 1984 . The statistical equilibrium solution of a primitive-equation model . Tellus 36A , 42 51 .
  19. Errico , R. M . 1989 . Theory and application of nonlinear normal mode initialization . NCAR Technical Note , NCAR/TN-344 + IA , 145 pp .
  20. Errico , R. M. and Baumhefner , D. P . 1987 . Predictability experiments using a high-resolution limited-area model. Mon. Wea. Re v . 115 , 488 504 .
  21. Errico , R. M. and Raeder , K. D . 1999 . An examination of the accuracy of the linearization of a mesoscale model with moist physics . Quart. J. Roy. Meteor. Soc . 125 , 169 195 .
  22. Errico , R. M. and Williamson , D. L . 1988 . The behavior of gravitational modes in numerical forecasts. Mon. Wea. Re v . 116 , 1737 1756 .
  23. Farrell , B. F . 1988 . Optimal excitation of neutral Rossby waves. J. Atmos. Sc i . 45 , 163 172 .
  24. Farrell , B. F. and Ioannou , P. J . 1996 . Generalized stability theory. Part II: Nonautonomous operators. J. Atmos. Sc i . 53 , 2041 2053 .
  25. Fleming , R. J . 1971 . On stochastic dynamic prediction. I: The energetics of uncertainty and the question of closure. Mon. Wea. Re v . 99 , 851 872 .
  26. Gelaro , R. , Buizza , R. , Palmer , T. N. and Klinker , E . 1998 . Sensitivity analysis of forecast errors and the construction of optimal perturbations using singular vectors. J. Atmos. Sc i . 55 , 1012 1037 .
  27. Gelaro , R. and Errico , R. M . 1993 . The forcing and balance of zonally symmetric modes in a global model. Mon. Wea. Re v . 121 , 470 481 .
  28. Houtekamer , P. L. and Derome , J . 1995 . Methods for ensemble prediction. Mon. Wea. Re v . 122 , 2181 2196 .
  29. Houtekamer , P. L. , Lefaivre , L. , Derome , J. , Ritchie , H. and Mitchell , H. L . 1996 . A system simulation approach to ensemble prediction. Mon. Wea. Re v . 124 , 1225 1242 .
  30. Houtekamer , P. L. and Mitchell , H. L . 1998 . Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Re v . 126 , 796 811 .
  31. Iyengar , G. , Toth , Z. , Kalnay , E. and Woolen , J. S . 1996 . Are the bred vectors representative of analysis errors? Preprints, 11th Conference on Numerical weather prediction, 19-23 August 1996, Norfolk, VA. American Meteorological Society, J64-J66.
  32. Legras , B. and Vautard , R . 1996 . A guide to Liapunov vectors . Proceedings 1995 ECMWF Seminar on Predictability , Vol. I , pp. 143 156 .
  33. Leith , C. E . 1974 . Theoretical skill of Monte Carlo forecasts. Mon. Wea. Re v . 102 , 409 418 .
  34. Lorenz , E. N . 1960 . Energy and numerical weather prediction . Tellus 12 , 364 373 .
  35. Lorenz , E. N . 1963 . Deterministic nonperiodic flow. J. Atmos. Sc i . 20 , 130 141 .
  36. Lorenz , E. N . 1982 . Atmospheric predictability experiments with a large numerical model . Tellus 34 , 505 513 .
  37. Lorenz , E. N . 1993 . The essence of chaos . University of Washington Press , 227 pp .
  38. Molteni , F. , Buizza , R. , Palmer , T. N. and Petroliagis , T . 1996 . The ECMWF ensemble prediction system: Tellus 51A (1999), 3 Methodology and validation . Quart. J. Roy. Meteor. Soc . 122 , 73 119 .
  39. Palmer , T. N . 1996 . Predictability of the atmosphere and oceans: from days to decades . Proceedings 1995 ECMWF Seminar on Predictability , Vol. I , pp. 83 141 .
  40. Palmer , T. N. , Gelaro , R. , Barkmeijer , J. and Buizza , R . 1998 . Singular vectors, metrics, and adaptive observations. J. Atmos. Sc i ., 55 , 633 653 .
  41. Pires , C. , Vautard , R. and Talagrand , O . 1996 . On extending the limits of variational assimilation in non-linear chaotic systems . Tellus 48A , 96 121 .
  42. Pu , Z.-X. , Kalnay , E. , Parrish , D. , Wu , W. and Toth , Z . 1997 . The use of bred vectors in the NCEP global 3-D variational analysis system . Wea. Forecasting 12 , 689 695 .
  43. Reynolds , C. A. and Errico , R. M . 1999 . On the convergence of singular vectors toward Lyapunov vectors . Mon. Wea. Rev ., in press .
  44. Reynolds , C. A. and Palmer , T. N . 1998 . The impact of decaying singular vectors on forecast and analysis correction. J. Atmos. Sc i . 55 , 3005 3023 .
  45. Simmons , A. J. , Mureau , R. and Petroliagis , T . 1995 . Error growth and estimates of predictability from the ECMWF forecasting system . Quart. J. Roy. Meteor. Soc . 121 , 1739 1771 .
  46. Szunyogh , I. , Kalnay , E. and Toth , Z . 1997 . A comparison of Lyapunov and optimal vectors in a low resolution GCM . Tellus 49A , 200 227 .
  47. Talagrand , O . 1981 . A study of the dynamics of four-dimensional data assimilation . Tellus 33 , 43 60 .
  48. Toth , Z. and Kalnay , E . 1993 . Ensemble forecasting at NMC: the generation of perturbations . Bull. Amer. Meteor. Soc . 74 , 2317 2330 .
  49. Toth , Z. , Kalnay , E. , Tracton , S. M. , Wobus , R. and Irwin , J . 1997 . A synoptic evaluation of the NCEP ensemble . Wea. Forecasting 12 , 140 153 .
  50. Tracton , M. S. and Kalnay , E . 1993 . Operational ensemble prediction at the National Meteorological Center: practical aspects . Weather and Forecasting 8 , 379 398 .
  51. Trevisan , A. and Legnani , R . 1995 . Transient error growth and local predictability: A study in the Lorenz system . Tellus 47A , 103 117 .
  52. Tribbia , J. J. and Baumhefner , D. P . 1988 . The reliability of improvements in deterministic short-range forecasts in the presence of initial state and modeling deficiencies. Mon. Wea. Re v . 116 , 2276 2288 .
Language: English
Page range: 431 - 441
Submitted on: Feb 3, 1998
Accepted on: Sep 24, 1998
Published on: Jan 1, 1999
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1999 Ronald M. Errico, Rolf Langland, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.