Skip to main content
Have a personal or library account? Click to login
Some theoretical considerations on predictability of linear stochastic dynamics Cover

Some theoretical considerations on predictability of linear stochastic dynamics

Open Access
|Jan 2003

References

  1. DelSole , T. and Farrell B. F. 1995 . A stochastically excited linear system as a model for quasigeostrophic turbulence: analytic results for one- and two-layer fluids. J. Atmos. Sc i . 52 , 2531 2547 .
  2. Farrell , B. F. and Ioannou P. J. 1996 . Generalized stability theory. Part I: Autonomous operators. J. Atmos. Sc i . 53 , 2025 2040 .
  3. Hasselmann , K. 1976 . Stochastic climate models I . Theory. Tellus 28 , 473 485 .
  4. Hasselmann , K. 1988 . PIPs and POPs — A general formalism for the reduction of dynamical systems is terms of principal interaction patterns and principal oscillation patterns . J. Geophys. Res . 93 , 11 015-11 021 .
  5. Ioannou , P.J. 1995. Non-normality increases variance. J. At-mos. Sci. 52 , 1155-115 8 .
  6. Kleeman , R. 2002 . Measuring dynamical prediction utility using relative entropy. J. Atmos. Sc i . 59 , 2057 2072 .
  7. Kleeman , R. and Moore , A. M. 1997 . A Theory for the limitation of ENSO predictability due to stochastic atmospheric transients. J. Atmos. Sc i . 54 , 753 767 .
  8. Lorenz , E. N. 1969 . The predictability of a flow which possesses many scales of motion . Tellus 21 , 289 307 .
  9. Marshall , A. W. and Olkin , I. Inequalities: Theory of majorization and its applications, volume 143 of Mathematics in sciences and engineering. Academic Press , New York , 1979 .
  10. Penland , C. 1989 . Random forcing and forecasting using principal oscillation pattern analysis. Mon. Wea. Re v . 117 , 2165 2185 .
  11. Penland , C. and Matrosova , L. 1994 . A balance condition for stochastic numerical models with application to the El Niiio-Southern oscillation . J. Climate 7 , 1352 1372 .
  12. Penland , C. and Matrosova , L. 1998 . Prediction of tropical Atlantic sea surface temperatures using linear inverse mod-eling . J. Climate 11 , 483 496 .
  13. Penland , C. and Matrosova , L. 2001. Expected and actual errors of linear inverse model forecasts . Mon. Wea. Rev . 129 , 1740– 1745 .
  14. Penland , C. and Sardeshmulch , P. D. 1995 . The optimal-growth of tropical sea-surface tem-perature anomalies . J. Climate 8 , 1999– 2024 .
  15. Schneider , T. and Griffies , S. 1999 . A conceptual frame-work for predictability studies . J. Climate 12 , 3133 3155 .
  16. Schneider , T. and Held , I. M. 2001 . Discriminants of twentieth-century changes in earth surface temperatures. J. Climate 14 , 249 254.
  17. Tippett , M. K. and Cohn , S. E. 2001 . Adjoints and low-rank covariance representation . Nonlinear Processes in Geo-phys . 8 , 331 340 .
  18. Weyl , H. 1949 . Inequalities between two kinds of eigenvalues of a linear transformation . Proc. Natl. Acad. Sci USA 35 , 408 411 .
  19. Whitaker , J. S . and Sardeshmulch , P. D. 1998 . A linear theory of extratropical synoptic eddy statistics. J. Atmos. Sci . 55 , 55 258 .
  20. Winkler , C. R. , Newman , M. and Sardeshmulch , P. D. 2001 . A linear model of wintertime low-frequency variability. Part I: Formulation and forecast skill. J. Climate 14 , 4474 4494 .
Language: English
Page range: 148 - 157
Submitted on: Feb 5, 2002
Accepted on: Aug 20, 2002
Published on: Jan 1, 2003
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2003 Michael K. Tippett, Ping Chang, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.