The author wishes to thank Tim DelSole, Adam Monahan, Brian Farrell, and Illya Timofeyev for stimulating and useful discussions when this work was presented at several seminars and workshops. This work was supported by NSF Grants CMG 0417728 and ATM 0430889.
Boffetta, G., , and S. Musacchio, 2001: Predictability of the inverse energy cascade in 2D turbulence. Phys. Fluids, 13 , 1060–1062.
Ehrendorfer, M., 1994a: The Liouville equation and its potential usefulness for the prediction of forecast skill. Part I: Theory. Mon. Wea. Rev., 122 , 703–713.
Ehrendorfer, M., 1994b: The Liouville equation and its potential usefulness for the prediction of forecast skill. Part II: Applications. Mon. Wea. Rev., 122 , 714–728.
Frederiksen, J., , and A. G. Davies, 1997: Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models. J. Atmos. Sci., 54 , 2475–2492.
Gardiner, C. W., 2004: Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences. Springer Series in Synergetics, Vol. 13, Springer-Verlag, 415 pp.
Grötzner, A., , M. Latif, , A. Timmermann, , and R. Voss, 1999: Interannual to decadal predictability in a coupled ocean–atmosphere general circulation model. J. Climate, 12 , 2607–2624.
Houtekamer, P. L., , and H. L. Mitchell, 1998: Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev., 126 , 796–811.
Kleeman, R., , and A. M. Moore, 1999: A new method for determining the reliability of dynamical ENSO predictions. Mon. Wea. Rev., 127 , 694–705.
Leslie, L. M., , and K. Fraedrich, 1997: A new general circulation model: Formulation and preliminary results in a single and multiprocessor environment. Climate Dyn., 13 , 35–43.
Lin, J-L., and Coauthors, 2006: Tropical intraseasonal variability in 14 IPCC AR4 climate models. Part I: Convective signals. J. Climate, 19 , 2665–2690.
Majda, A. J., , R. Kleeman, , and D. Cai, 2002: A framework of predictability through relative entropy. Methods Appl. Anal., 9 , 425–444.
Nastrom, G., , and K. Gage, 1985: A climatology of atmospheric wavenumber spectra observed by commercial aircraft. J. Atmos. Sci., 42 , 950–960.
Rabier, F., , H. Järvinen, , E. Klinker, , J-F. Mahfouf, , and A. Simmons, 2000: The ECMWF operational implementation of four-dimensional variational assimilation. I: Experimental results with simplified physics. Quart. J. Roy. Meteor. Soc., 126 , 1143.
Roulston, M. S., , and L. A. Smith, 2002: Evaluating probabilistic forecasts using information theory. Mon. Wea. Rev., 130 , 1653–1660.
Toth, Z., , and E. Kalnay, 1993: Ensemble forecasting at NMC: The generation of perturbations. Bull. Amer. Meteor. Soc., 74 , 2317–2330.
Tribbia, J., , and D. Baumhefner, 2004: Scale interactions and atmospheric predictability: An updated perspective. Mon. Wea. Rev., 132 , 703–713.
Ziemiaski, M. Z., , W. W. Grabowski, , and M. W. Moncrieff, 2005: Explicit convection over the western Pacific warm pool in the community atmospheric model. J. Climate, 18 , 1482–1502.