An Ensemble Kalman Filter for Numerical Weather Prediction Based on Variational Data Assimilation: VarEnKF

AbstractSeveral NWP centers currently employ a variational data assimilation approach for initializing deterministic forecasts and a separate ensemble Kalman filter (EnKF) system both for initializing ensemble forecasts and for providing ensemble background error covariances for the deterministic system. This study describes a new approach for performing the data assimilation step within a perturbed-observation EnKF. In this approach, called VarEnKF, the analysis increment is computed with a variational data assimilation approach both for the ensemble mean and for all of the ensemble perturbations. To obtain a computationally efficient algorithm, a much simpler configuration is used for the ensemble perturbations, whereas the configuration used for the ensemble mean is similar to that used for the deterministic system. Numerous practical benefits may be realized by using a variational approach for both deterministic and ensemble prediction, including improved efficiency for the development and maintenance...

[1]  M. Buehner Ensemble‐derived stationary and flow‐dependent background‐error covariances: Evaluation in a quasi‐operational NWP setting , 2005 .

[2]  M. Buehner,et al.  Atmospheric Data Assimilation with an Ensemble Kalman Filter: Results with Real Observations , 2005 .

[3]  X. Deng,et al.  Model Error Representation in an Operational Ensemble Kalman Filter , 2009 .

[4]  Laure Raynaud,et al.  Comparison of initial perturbation methods for ensemble prediction at convective scale , 2016 .

[5]  Xuguang Wang,et al.  GSI-Based Four-Dimensional Ensemble–Variational (4DEnsVar) Data Assimilation: Formulation and Single-Resolution Experiments with Real Data for NCEP Global Forecast System , 2014 .

[6]  Andrew C. Lorenc,et al.  The potential of the ensemble Kalman filter for NWP—a comparison with 4D‐Var , 2003 .

[7]  Martin Leutbecher,et al.  Comparison between Singular Vectors and Breeding Vectors as Initial Perturbations for the ECMWF Ensemble Prediction System , 2008 .

[8]  Gérald Desroziers,et al.  Modelling of flow‐dependent ensemble‐based background‐error correlations using a wavelet formulation in 4D‐Var at Météo‐France , 2015 .

[9]  J. Whitaker,et al.  Ensemble Square Root Filters , 2003, Statistical Methods for Climate Scientists.

[10]  J. Whitaker,et al.  Evaluating Methods to Account for System Errors in Ensemble Data Assimilation , 2012 .

[11]  Ian Roulstone,et al.  A comparison of 4DVar with ensemble data assimilation methods , 2014 .

[12]  Kayo Ide,et al.  An OSSE-Based Evaluation of Hybrid Variational-Ensemble Data Assimilation for the NCEP GFS. Part II: 4DEnVar and Hybrid Variants , 2015 .

[13]  J. Whitaker,et al.  Model Space Localization Is Not Always Better Than Observation Space Localization for Assimilation of Satellite Radiances , 2015 .

[14]  Mark Buehner,et al.  Implementation of Deterministic Weather Forecasting Systems Based on Ensemble–Variational Data Assimilation at Environment Canada. Part I: The Global System , 2015 .

[15]  Craig H. Bishop,et al.  Vertical Covariance Localization for Satellite Radiances in Ensemble Kalman Filters , 2010 .

[16]  Paul Poli,et al.  Diagnosis of observation, background and analysis‐error statistics in observation space , 2005 .

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

[18]  Istvan Szunyogh,et al.  Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter , 2005, physics/0511236.

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

[20]  Mark Buehner,et al.  Four-dimensional ensemble-variational data assimilation for global deterministic weather prediction , 2013 .

[21]  Seung-Jong Baek,et al.  Higher Resolution in an Operational Ensemble Kalman Filter , 2014 .

[22]  J. Whitaker,et al.  Ensemble Data Assimilation without Perturbed Observations , 2002 .

[23]  J. Thepaut,et al.  The ERA‐Interim reanalysis: configuration and performance of the data assimilation system , 2011 .

[24]  John Derber,et al.  The National Meteorological Center's spectral-statistical interpolation analysis system , 1992 .

[25]  Bin He,et al.  Parallel Implementation of an Ensemble Kalman Filter , 2014 .

[26]  Jean Côté,et al.  Staggered Vertical Discretization of the Canadian Environmental Multiscale (GEM) Model Using a Coordinate of the Log-Hydrostatic-Pressure Type , 2014 .

[27]  M. Buehner,et al.  Scale-dependent background-error covariance localisation , 2015 .

[28]  Heikki Järvinen,et al.  Variational quality control , 1999 .

[29]  T. Hamill,et al.  A Hybrid Ensemble Kalman Filter-3D Variational Analysis Scheme , 2000 .

[30]  P. L. Houtekamer,et al.  Verification of an Ensemble Prediction System against Observations , 2007 .

[31]  P. L. Houtekamer,et al.  Ensemble Kalman Filter Configurations and Their Performance with the Logistic Map , 2009 .

[32]  A. Lorenc,et al.  Operational implementation of a hybrid ensemble/4D‐Var global data assimilation system at the Met Office , 2013 .

[33]  H. Hersbach Decomposition of the Continuous Ranked Probability Score for Ensemble Prediction Systems , 2000 .

[34]  M. Buehner,et al.  Intercomparison of Variational Data Assimilation and the Ensemble Kalman Filter for Global Deterministic NWP. Part I: Description and Single-Observation Experiments , 2010 .