31 Li J P, Ding R Q. Tempeoral-spatial distribution of atmospheric predictability limit by local dynamical analogs. Mon Weather Rev, 2011, 139: 3265-3283
[10]
36 Abramov R, Majda A, Kleeman R. Information theory and predictability for low-frequency variability. J Atmos Sci, 2005, 62: 65-87
[11]
37 DelSole T. Predictability and information theory. Part II: Imperfect Forecast. J Atmos Sci, 2005, 61: 3368-3381
[12]
38 Tang Y, Lin H, Derome J, et al. A predictability measure applied to seasonal predictions of the arctic oscillation. J Clim, 2007, 20: 4733-4750
[13]
39 DelSole T, Tippett M K. Predictability: Recent insights from information theory. Rev Geophys, 2007, 45: RG4002, doi: 10.1029/2006RG000202
1 Lorenz E N. Deterministic nonperiodic flow. J Atmos Sci, 1963, 20: 130-141
[18]
2 Chervin R M, Schneider S H. On determining the statistical significance of climate experiments with general circulation models. J Atmos Sci, 1976, 33: 405-412
[19]
3 Shukla J, Gutzler D S. Interannual variability and predictability of 500 mb geopotential heights over the northern hemisphere. Mon Weather Rev, 1983, 111: 1273-1279
[20]
4 Leung L Y, North G R. Information theory and climate prediction. J Clim, 1990, 3: 5-14
[21]
5 DelSole T. Predictability and information theory. Part I: Measure of predictability. J Atmos Sci, 2004, 61: 2425-2440
[22]
6 Schneider T, Griffies S M. A conceptual framework for predictability studies. J Clim, 1999, 12: 3133-3155
[23]
7 Anderson J L, Stern W F. Evaluating the potential predictive utility of ensemble forecasts. J Clim, 1996, 9: 260-269
[24]
8 Yang X Q, Anderson J L, Stern W F. Reproducible forced modes in AGCM ensemble integration and potential predictability of atmospheric seasonal variations in the extratropics. J Clim, 1998, 11: 2942-2959
[25]
9 Sardeshmukh P D, Compo G P, Penland C. Changes of probability associated with El Ni？o. J Clim, 2000, 13: 4268-4286
13 Mu M, Duan W S, Wang J C. The predictability problems in numerical weather and climate prediction. Adv Atmos Sci, 2002, 19: 191-204
[30]
14 Mu M, Duan W S, Wang B. Conditional nonlinear optimal perturbation and its applications. Nonlinear Process Geophys, 2003, 10: 493-501
[31]
15 Mu M, Duan W, Wang Q, et al. An extension of conditional nonlinear optimal perturbation approach and its applications. Nonlinear Process Geophys, 2010, 12: 211-220
17 Duan W S, Mu M. Conditional nonlinear optimal perturbation: Applications to stability, sensitivity, and predictability. Sci China Ser D-Earth Sci, 2009, 52: 883-906
20 Yu Y, Duan W, Xu H, et al. Dynamics of nonlinear error growth and season-dependent predictability of El Ni？o events in the Zebiak-Cane model. Q J R Meteorol Soc, 2009, 135: 2146-2160
[37]
21 Yu Y, Mu M, Duan W. Does model parameter error cause a significant “Spring Predictability Barrier” for El Ni？o events in the Zebiak-Cane Model? J Clim, 2012, 25: 1263-1277
[38]
22 Duan W, Chao W. The ‘spring predictability barrier'' for ENSO predictions and its possible mechanism: Results from a fully coupled model. Int J Climatol, 2012, doi: 10.1002/joc.351
[39]
32 Ding R Q, Li J P. Comparisons of two ensemble mean methods in measuring the average error growth and the predictability. Acta Meteor Sin, 2011, 25: 395-404
[40]
33 Cover T M, Thomas J A. Elements of information theory. 2nd ed. Hoboken: John Wiley, 2006. 1-12
[41]
34 Kleeman R. Measuring dynamical prediction utility using relative entropy. J Atmos Sci, 2002, 59: 2057-2072
[42]
35 Roulston M, Smith L. Evaluating probabilistic forecasts using information theory. Mon Weather Rev, 2002, 130: 1653-1660
