Variation of the predictability in a low-order spectral model of the atmospheric circulation

P. L. Houtekamer

doi:10.3402/tellusa.v43i3.11925

Variation of the predictability in a low-order spectral model of the atmospheric circulation

Tellus

Volume 43 (1991): Issue 3

By: P. L. Houtekamer

Open Access

|Jan 1991

Bourke , W. B. , Mc Avaney , B. , Puri , K. and Thurling , R . 1977 . Global modeling of atmospheric flow by spectral methods . Methods in Computational Physics 17 , 267 – 334 .
Search in Google Scholar Back to article
Courtier , P. and Talagrand , O. 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation H: Numerical results. Quart. J. R. Meteorol. Soc . 113 , 1329 – 134 7 .
Search in Google Scholar Back to article
Epstein , E. S. 1969 . Stochastic dynamic prediction . Tellus 21 , 739 – 759 .
Search in Google Scholar Back to article
Holton , J. R. 1979 . An introduction to dynamic meteo-rology (ed. W. L. Donn ). New York , Academic Press , 391 pp.
Search in Google Scholar Back to article
Kaplan , J. L. and Yorke , J. A. 1979 . Chaotic behavior of multidimensional difference equations. In: Functional differential equations and approximation of fixed points , (eds. H. O. Peitgen and H. O. Walther ). Heidelberg-New York , Springer , 228 - 237 .
Search in Google Scholar Back to article
Lacarra , J. and Talagrand , O. 1988. Short-range evolu-tion of small perturbations in a barotropic model . Tellus 40A , 81 – 95 .
Search in Google Scholar Back to article
Le Dimet , F. X. and Talagrand , O. 1986. Variational algorithms for analysis and assimilation of meteo-rological observations: theoretical aspects . Tellus 38A , 97 – 110 .
Search in Google Scholar Back to article
Leith , C. E . 1974 . Theoretical Skill of Monte Carlo Forecasts . Mon. Wea. Rev . 102 , 409 – 418 .
Search in Google Scholar Back to article
Lorenz , E. N . 1960 . Energy and numerical weather prediction . Tellus 12 , 364 – 373 .
Search in Google Scholar Back to article
Lorenz , E. N. 1963. Deterministic Nonperiodic Flow. J. Atmos. ScL 20 , 130.
Search in Google Scholar Back to article
Lorenz , E. N . 1985 . The growth of errors in prediction. In: Turbulence and predictability in geophysical fluid dynamics and climate dynamics (eds. M. Ghil , R. Benzi and G. Parisi ). Amsterdam , North-Holland , 243 – 265 .
Search in Google Scholar Back to article
Orszag , S. A . 1970 . Transform method for the calculation of vector-coupled sums: Application to the spectral form of the vorticity equation . J. Atmos. Sci . 27 , 890 – 895 .
Search in Google Scholar Back to article
Palmer , T. N. and Tibaldi , S . 1988 . On the prediction of forecast skill . Mon. Wea. Rev . 116 , 2453 – 2480 .
Search in Google Scholar Back to article
Paegle , J. N. and Haslam , R. B . 1982 . Empirical orthogonal function estimates of local predictability . J. App!. Meteor . 20 , 117 – 226 .
Search in Google Scholar Back to article
Parlett , P . 1980 . The symmetric eigenvalue problem . Series in computational mathematics , Englewood Cliffs New Jersey , Prentice Hall , 348 pp.
Search in Google Scholar Back to article
Platzman , G. W . 1960 . The spectral form of the vorticity equation . Journal of Meteorology 17 , 635 – 644 .
Search in Google Scholar Back to article
Preisendorfer , R. W . 1988 . Principal component analysis in meteorology and oceanography (ed . C. D. Mobley). Amsterdam , Elsevier , 425 pp.
Search in Google Scholar Back to article
Reinhold , B. B. and Pierrehumbert , R. T . 1982 . Dynamics of weather regimes: Quasi stationary waves and blocking . Mon. Wea. Rev . 110 , 1106 – 1145 .
Search in Google Scholar Back to article
Rinne , J. and Järvenoja , S . 1979 . Truncation of the EOF series representing 500 mb heights . Quart. J. R. MeteoroL Soc . 105 , 885 – 897 .
Search in Google Scholar Back to article
Rinne , J. and Karhila , V . 1979 . Empirical orthogonal functions of 500 mb height in the northern hemisphere determined from a large data sample . Quart. J. R. MeteoroL Soc . 105 , 873 – 884 .
Search in Google Scholar Back to article
Silberman , I . 1954 . Planetary waves in the atmosphere . Journal of Meteorology 11 , 27 – 34 .
Search in Google Scholar Back to article
Schuster , H. G . 1988 . Deterministic Chaos An Introduc-tion (ed . W. Greulich). Weinheim, VCH , 270 pp.
Search in Google Scholar Back to article
Talagrand , O . and Courtier , P. 1987 . Variational assimilation of meteorological observations with the adjoint vorticity equation I: theory. Quart. J. R. Meteorol. Soc . 113 , 1311 – 1328 .
Search in Google Scholar Back to article
Thiébaux , H. J. and Morone , L. L . 1990 . Short-term systematic errors in global forecasts: their estimation and removal . Tellus 42A , 209 – 229 .
Search in Google Scholar Back to article
Wolf , A. , Swift , J. B. , Swinney , H. L. and Vastano , J. A . 1985 . Determining Lyapunov exponents from a time series . Physica D 16 , 285 – 317 .
Search in Google Scholar Back to article