The authors thank R. Morss and M. Waite for their comments on the first draft of this manuscript.
Aurell, E., G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani, 1996: Predictability in systems with many characteristic times: The case of turbulence. Phys. Rev. E, 53 , 2337–2349.
Blumen, W., 1978: Uniform potential vorticity flow: Part I. Theory of wave interactions and two-dimensional turbulence. J. Atmos. Sci., 35 , 774–783.
Boffetta, G., A. Celani, A. Crisanti, and A. Vulpiani, 1997: Predictability in two-dimensional decaying turbulence. Phys. Fluids, 9 , 724–734.
Bohr, T., M. H. Jensen, G. Paladin, and A. Vulpiani, 1998: Dynamical Systems Approach to Turbulence. Cambridge Nonlinear Science Series 8, Cambridge University Press, 370 pp.
Held, I. M., R. T. Pierrehumbert, S. T. Garner, and K. L. Swanson, 1995: Surface quasi-geostrophic dynamics. J. Fluid Mech., 282 , 1–20.
Kida, S., M. Yamada, and K. Ohkitani, 1990: Error growth in decaying two-dimensional turbulence. J. Phys. Soc. Japan, 59 , 90–100.
Lilly, D. K., 1972: Numerical simulation studies of two-dimensional turbulence: II. Stability and predictability studies. Geophys. Astrophys. Fluid Dyn., 4 , 1–28.
Nastrom, G. D., and K. S. Gage, 1985: A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft. J. Atmos. Sci., 42 , 950–960.
Palmer, T. N., 2001: A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models. Quart. J. Roy. Meteor. Soc., 127 , 279–304.
Pierrehumbert, R. T., I. M. Held, and K. L. Swanson, 1994: Spectra of local and nonlocal two-dimensional turbulence. Chaos Solitons Fractals, 4 , 1111–1116.
Simmons, A. J., and A. Hollingsworth, 2002: Some aspects of the improvement in skill of numerical weather prediction. Quart. J. Roy. Meteor. Soc., 128 , 647–677.
Snyder, C., and T. M. Hamill, 2003: Leading Lyapunov vectors of a turbulent baroclinic jet in a quasigeostrophic model. J. Atmos. Sci., 60 , 683–688.
Straus, D. M., and J. Shukla, 2005: The known, the unknown and the unknowable in the predictability of weather. COLA Tech. Rep. 175, 20 pp. [Available from the Center for Ocean–Land–Atmosphere Studies, 4041 Powder Mill Rd., Suite 302, Calverton, MD 20705.].
Thompson, P. D., 1957: Uncertainty of the initial state as a factor in the predictability of large scale atmospheric flow patterns. Tellus, 9 , 275–295.
Tulloch, R. T., and K. S. Smith, 2006: A new theory for the atmospheric energy spectrum: Depth-limited temperature anomalies at the tropopause. Proc. Natl. Acad. Sci. USA, 103 , 14690–14694.