Simulating weather regimes: impact of stochastic and perturbed parameter schemes in a simple atmospheric model

Representing model uncertainty is important for both numerical weather and climate prediction. Stochastic parametrisation schemes are commonly used for this purpose in weather prediction, while perturbed parameter approaches are widely used in the climate community. The performance of these two representations of model uncertainty is considered in the context of the idealised Lorenz ’96 system, in terms of their ability to capture the observed regime behaviour of the system. These results are applicable to the atmosphere, where evidence points to the existence of persistent weather regimes, and where it is desirable that climate models capture this regime behaviour. The stochastic parametrisation schemes considerably improve the representation of regimes when compared to a deterministic model: both the structure and persistence of the regimes are found to improve. The stochastic parametrisation scheme represents the small scale variability present in the full system, which enables the system to explore a larger portion of the system’s attractor, improving the simulated regime behaviour. It is important that temporally correlated noise is used in the stochastic parametrisation—white noise schemes performed similarly to the deterministic model. In contrast, the perturbed parameter ensemble was unable to capture the regime structure of the attractor, with many individual members exploring only one regime. This poor performance was not evident in other climate diagnostics. Finally, a ‘climate change’ experiment was performed, where a change in external forcing resulted in changes to the regime structure of the attractor. The temporally correlated stochastic schemes captured these changes well.

[1]  A. Pier Siebesma,et al.  Stochastic parameterization of shallow cumulus convection estimated from high-resolution model data , 2013 .

[2]  M. Ghil,et al.  Multiple Flow Regimes in the Northern Hemisphere Winter. Part I: Methodology and Hemispheric Regimes , 1993 .

[3]  M. Webb,et al.  Quantification of modelling uncertainties in a large ensemble of climate change simulations , 2004, Nature.

[4]  J. Charney,et al.  Multiple Flow Equilibria in the Atmosphere and Blocking , 1979 .

[5]  Michael Ghil,et al.  Multiple flow regimes in the Northern Hemisphere winter. I - Methodology and hemispheric regimes. II - Sectorial regimes and preferred transitions , 1993 .

[6]  John Methven,et al.  Flow‐dependent predictability of the North Atlantic jet , 2013 .

[7]  Frank Kwasniok,et al.  Data-based stochastic subgrid-scale parametrization: an approach using cluster-weighted modelling , 2012, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  J. Burton,et al.  Birds and climate change , 1995 .

[9]  Tim Palmer,et al.  A Nonlinear Dynamical Perspective on Climate Prediction , 1999 .

[10]  F. M. Selten,et al.  Preferred Regime Transition Routes and Evidence for an Unstable Periodic Orbit in a Baroclinic Model , 2004 .

[11]  Michael Ghil,et al.  Multiple Flow Regimes in the Northern Hemisphere Winter. Part II: Sectorial Regimes and Preferred Transitions , 1993 .

[12]  David B. Stephenson,et al.  On the existence of multiple climate regimes , 2004 .

[13]  Jonathan Rougier,et al.  Analyzing the Climate Sensitivity of the HadSM3 Climate Model Using Ensembles from Different but Related Experiments , 2009 .

[14]  E. Lorenz Predictability of Weather and Climate: Predictability – a problem partly solved , 2006 .

[15]  Franco Molteni,et al.  Circulation Regimes: Chaotic Variability versus SST-Forced Predictability , 2007 .

[16]  A. Majda,et al.  Using the Stochastic Multicloud Model to Improve Tropical Convective Parameterization: A Paradigm Example , 2012 .

[17]  Masahide Kimoto,et al.  Chaotic itinerancy with preferred transition routes appearing in an atmospheric model , 1997 .

[18]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[19]  Edward N. Lorenz,et al.  Regimes in Simple Systems , 2006 .

[20]  Judith Berner,et al.  Linear and Nonlinear Signatures in the Planetary Wave Dynamics of an AGCM: Probability Density Functions , 2007 .

[21]  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 .

[22]  D. Wilks Effects of stochastic parametrizations in the Lorenz '96 system , 2005 .

[23]  Leonard A. Smith,et al.  Uncertainty in predictions of the climate response to rising levels of greenhouse gases , 2005, Nature.

[24]  Judith Berner,et al.  Linear and nonlinear signatures in the planetary wave dynamics of an AGCM: Phase space tendencies , 2005 .

[25]  Andrew Dawson,et al.  Simulating weather regimes: impact of model resolution and stochastic parameterization , 2015, Climate Dynamics.

[26]  Tim N. Palmer,et al.  A nonlinear dynamical perspective on climate change , 1993 .

[27]  K. Hasselmann Climate change: Linear and nonlinear signatures , 1999, Nature.

[28]  I. Moroz,et al.  Stochastic parametrizations and model uncertainty in the Lorenz ’96 system , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[29]  Tim N. Palmer,et al.  Signature of recent climate change in frequencies of natural atmospheric circulation regimes , 1999, Nature.

[30]  G. Branstator,et al.  “Modes of Variability” and Climate Change , 2009 .

[31]  M. Ehrendorfer Vorhersage der Unsicherheit numerischer Wetterprognosen: eine Übersicht , 1997 .

[32]  Masahide Kimoto,et al.  Multiple Attractors and Chaotic Itinerancy in a Quasigeostrophic Model with Realistic Topography: Implications for Weather Regimes and Low-Frequency Variability , 1996 .

[33]  B. Pohl,et al.  The Southern Annular Mode Seen through Weather Regimes , 2012 .

[34]  Andrew Dawson,et al.  Simulating regime structures in weather and climate prediction models , 2012 .

[35]  T. Palmer,et al.  Stochastic parametrization and model uncertainty , 2009 .

[36]  Andrew P. Morse,et al.  DEVELOPMENT OF A EUROPEAN MULTIMODEL ENSEMBLE SYSTEM FOR SEASONAL-TO-INTERANNUAL PREDICTION (DEMETER) , 2004 .

[37]  P. L. Houtekamer,et al.  A System Simulation Approach to Ensemble Prediction , 1996 .

[38]  Eric Vanden-Eijnden,et al.  Subgrid-Scale Parameterization with Conditional Markov Chains , 2008 .