Improved Climate Simulations through a Stochastic Parameterization of Ocean Eddies

AbstractIn climate simulations, the impacts of the subgrid scales on the resolved scales are conventionally represented using deterministic closure schemes, which assume that the impacts are uniquely determined by the resolved scales. Stochastic parameterization relaxes this assumption, by sampling the subgrid variability in a computationally inexpensive manner. This study shows that the simulated climatological state of the ocean is improved in many respects by implementing a simple stochastic parameterization of ocean eddies into a coupled atmosphere–ocean general circulation model. Simulations from a high-resolution, eddy-permitting ocean model are used to calculate the eddy statistics needed to inject realistic stochastic noise into a low-resolution, non-eddy-permitting version of the same model. A suite of four stochastic experiments is then run to test the sensitivity of the simulated climate to the noise definition by varying the noise amplitude and decorrelation time within reasonable limits. The ...

[1]  Francis Codron,et al.  Differing impacts of resolution changes in latitude and longitude on the midlatitudes in the LMDZ atmospheric GCM , 2011 .

[2]  Hongmei Li,et al.  On the fluctuating buoyancy fluxes simulated in a 1/10° OGCM , 2013 .

[3]  in Geophysics , 2022 .

[4]  John F. B. Mitchell,et al.  The simulation of SST, sea ice extents and ocean heat transports in a version of the Hadley Centre coupled model without flux adjustments , 2000 .

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

[6]  K. Hasselmann.  Stochastic climate models Part I. Theory , 1976 .

[7]  T. Haine,et al.  Spontaneous generation and impact of inertia‐gravity waves in a stratified, two‐layer shear flow , 2003 .

[8]  Laure Zanna,et al.  Optimisation of an idealised ocean model, stochastic parameterisation of sub-grid eddies , 2014, 1410.5722.

[9]  Andreas Schmittner,et al.  Dependence of multiple climate states on ocean mixing parameters , 2001 .

[10]  S. Levitus,et al.  Warming of the World Ocean , 2000 .

[11]  T. Palmer,et al.  Stochastic representation of model uncertainties in the ECMWF ensemble prediction system , 2007 .

[12]  Paul D. Williams,et al.  Climatic impacts of stochastic fluctuations in air–sea fluxes , 2012 .

[13]  T. N. Palmer,et al.  Oceanic Stochastic Parameterizations in a Seasonal Forecast System , 2015, 1506.09181.

[14]  Jean-Michel Brankart,et al.  Impact of uncertainties in the horizontal density gradient upon low resolution global ocean modelling , 2013 .

[15]  Paul D. Williams,et al.  Stochastic Parameterization: Towards a new view of Weather and Climate Models , 2015, 1510.08682.

[16]  J. McWilliams,et al.  Ocean Eddy Dynamics in a Coupled Ocean-Atmosphere Model* , 2007 .

[17]  Paul D. Williams,et al.  Modelling climate change: the role of unresolved processes , 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  D. Williamson.  Convergence of atmospheric simulations with increasing horizontal resolution and fixed forcing scales , 1999 .

[19]  H. Bryden,et al.  Observing the Atlantic Meridional Overturning Circulation yields a decade of inevitable surprises , 2015, Science.

[20]  Thomas Jung,et al.  Systematic Model Error: The Impact of Increased Horizontal Resolution versus Improved Stochastic and Deterministic Parameterizations , 2012 .

[21]  D. Randall,et al.  Climate models and their evaluation , 2007 .

[22]  T. Birner,et al.  Sudden Stratospheric Warmings as Noise-Induced Transitions , 2008 .

[23]  Simon Wilson,et al.  U.K. HiGEM: The New U.K. High-Resolution Global Environment Model― Model Description and Basic Evaluation , 2009 .

[24]  Ernest Hovmöller.  The Trough-and-Ridge diagram , 1949 .

[25]  R. Buizza,et al.  A Comparison of the ECMWF, MSC, and NCEP Global Ensemble Prediction Systems , 2005 .

[26]  David L. Williamson,et al.  Convergence of aqua-planet simulations with increasing resolution in the Community Atmospheric Model, Version 3 , 2008 .

[27]  V. Kitsios,et al.  Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[28]  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 .

[29]  L. Ferranti,et al.  Northern Hemisphere atmospheric blocking as simulated by 15 atmospheric general circulation models in the period 1979–1988 , 1998 .

[30]  B. Hamann,et al.  A three‐dimensional eddy census of a high‐resolution global ocean simulation , 2013 .

[31]  Adam H. Monahan,et al.  Stabilization of Climate Regimes by Noise in a Simple Model of the Thermohaline Circulation , 2002 .

[32]  T. Palmer,et al.  Introduction. Stochastic physics and climate modelling , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[33]  Eric Guilyardi,et al.  The role of mean ocean salinity in climate , 2009 .

[34]  D. Stammer,et al.  A probabilistic description of the mesoscale eddy field in the ocean , 2015 .

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

[36]  C. Talandier,et al.  Meridional transport of salt in the global ocean from an eddy-resolving model , 2013 .

[37]  Jonathan M. Gregory,et al.  A process-based analysis of ocean heat uptake in an AOGCM with an eddy-permitting ocean component , 2015, Climate Dynamics.

[38]  D. Chelton,et al.  Global observations of nonlinear mesoscale eddies , 2011 .

[39]  Hannah M. Christensen,et al.  Simulating weather regimes: impact of stochastic and perturbed parameter schemes in a simple atmospheric model , 2015, Climate Dynamics.

[40]  Johnny Wei-Bing Lin,et al.  Considerations for Stochastic Convective Parameterization , 2002 .

[41]  Annette Osprey,et al.  A description of the FAMOUS (version XDBUA) climate model and control run , 2008 .

[42]  Stefano Schiavon,et al.  Climate Change 2007: The Physical Science Basis. , 2007 .

[43]  Philip Sura,et al.  Sensitivity of a double-gyre ocean model to details of stochastic forcing , 2002 .

[44]  P. Berloff.  Random-forcing model of the mesoscale oceanic eddies , 2005, Journal of Fluid Mechanics.

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

[46]  Judith Berner,et al.  Stochastic climate theory and modeling , 2015 .

[47]  P. Imkeller,et al.  Stochastic climate models , 2001 .

[48]  Robert Hallberg,et al.  Using a resolution function to regulate parameterizations of oceanic mesoscale eddy effects , 2013 .

[49]  Paul D. Williams,et al.  Mathematics applied to the climate system: outstanding challenges and recent progress , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[50]  A. Moore,et al.  The Response of a Coupled Model of ENSO to Observed Estimates of Stochastic Forcing , 2003 .

[51]  P. Gent,et al.  Isopycnal mixing in ocean circulation models , 1990 .

[52]  PierGianLuca Porta Mana,et al.  Toward a stochastic parameterization of ocean mesoscale eddies , 2014 .

[53]  James M. Murphy,et al.  Systematic optimisation and climate simulation of FAMOUS, a fast version of HadCM3 , 2005 .

[54]  Robin S. Smith,et al.  The FAMOUS climate model (versions XFXWB and XFHCC): description update to version XDBUA , 2011 .

[55]  Ed Hawkins,et al.  Bistability of the Atlantic overturning circulation in a global climate model and links to ocean freshwater transport , 2011 .

[56]  E. Hovmöller,et al.  The Trough-and-Ridge diagram , 1949 .

[57]  P. Berloff.  On dynamically consistent eddy fluxes , 2005 .

[58]  R. Scott.  Predictability of SST in an idealized, one-dimensional, coupled atmosphere-ocean climate model with , 2003 .

[59]  I. Held,et al.  Parameterizing subgrid-scale eddy effects using energetically consistent backscatter , 2014 .