Impact of a quasi-stochastic cellular automaton backscatter scheme on the systematic error and seasonal prediction skill of a global climate model

The impact of a nonlinear dynamic cellular automaton (CA) model, as a representation of the partially stochastic aspects of unresolved scales in global climate models, is studied in the European Centre for Medium Range Weather Forecasts coupled ocean–atmosphere model. Two separate aspects are discussed: impact on the systematic error of the model, and impact on the skill of seasonal forecasts. Significant reductions of systematic error are found both in the tropics and in the extratropics. Such reductions can be understood in terms of the inherently nonlinear nature of climate, in particular how energy injected by the CA at the near-grid scale can backscatter nonlinearly to larger scales. In addition, significant improvements in the probabilistic skill of seasonal forecasts are found in terms of a number of different variables such as temperature, precipitation and sea-level pressure. Such increases in skill can be understood both in terms of the reduction of systematic error as mentioned above, and in terms of the impact on ensemble spread of the CA's representation of inherent model uncertainty.

[1]  Franco Molteni,et al.  On the operational predictability of blocking , 1990 .

[2]  J. Janowiak,et al.  The Version 2 Global Precipitation Climatology Project (GPCP) Monthly Precipitation Analysis (1979-Present) , 2003 .

[3]  G. Shutts A kinetic energy backscatter algorithm for use in ensemble prediction systems , 2005 .

[4]  John R. Lanzante,et al.  A Cautionary Note on the Use of Error Bars , 2005 .

[5]  A. H. Murphy,et al.  A new decomposition of the Brier score: formulation and interpretation , 1986 .

[6]  G. J. Shutts,et al.  Convective Forcing Fluctuations in a Cloud-Resolving Model: Relevance to the Stochastic Parameterization Problem , 2007 .

[7]  Martin Leutbecher,et al.  A Spectral Stochastic Kinetic Energy Backscatter Scheme and Its Impact on Flow-Dependent Predictability in the ECMWF Ensemble Prediction System , 2009 .

[8]  Christopher A. T. Ferro,et al.  Comparing Probabilistic Forecasting Systems with the Brier Score , 2007 .

[9]  T. Palmer A nonlinear dynamical perspective on model error: A proposal for non‐local stochastic‐dynamic parametrization in weather and climate prediction models , 2001 .

[10]  I. Jolliffe,et al.  Two Extra Components in the Brier Score Decomposition , 2008 .

[11]  Neville Nicholls,et al.  commentary and analysis: The Insignificance of Significance Testing , 2001 .

[12]  L. Isaksen,et al.  The ERA-40 Reanalysis , 2004 .

[13]  Simon Fuller Forecast verification: A practitioner's guide in atmospheric science. Edited by Ian T. Jolliffe and David B. Stephenson. Wiley, Chichester, 2003. xiv+240 pp. ISBN 0 471 49759 2 , 2004 .

[14]  A. H. Murphy,et al.  The attributes diagram A geometrical framework for assessing the quality of probability forecasts , 1986 .

[15]  Roberto Buizza,et al.  The Singular-Vector Structure of the Atmospheric Global Circulation , 1995 .

[16]  Jorgen S. Frederiksen,et al.  Eddy Viscosity and Stochastic Backscatter Parameterizations on the Sphere for Atmospheric Circulation Models , 1997 .

[17]  A. Sterl,et al.  The ERA‐40 re‐analysis , 2005 .

[18]  Mike Gardner The Game of Life , 1983 .

[19]  Francisco J. Doblas-Reyes,et al.  Medium-Range, Monthly, and Seasonal Prediction for Europe and the Use of Forecast Information , 2006 .

[20]  D. Thomson,et al.  Stochastic backscatter in large-eddy simulations of boundary layers , 1992, Journal of Fluid Mechanics.

[21]  Kristian Mogensen,et al.  Development of the ECMWF seasonal forecast System 3 , 2007 .

[22]  C. E. Leith,et al.  Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer , 1990 .

[23]  Martin Gardner,et al.  Wheels, life, and other mathematical amusements , 1983 .

[24]  G. J. Shutts,et al.  Influence of a stochastic parameterization on the frequency of occurrence of North Pacific weather regimes in the ECMWF model , 2005 .

[25]  Arthur Vidard,et al.  The ECMWF System 3 ocean analysis , 2007 .

[26]  R. Kraichnan Eddy Viscosity in Two and Three Dimensions , 1976 .