Application of Feature Calibration and Alignment to High-Resolution Analysis: Examples Using Observations Sensitive to Cloud and Water Vapor

AbstractAlignment errors [i.e., cases where coherent structures (“features”) of clouds or precipitation in the background have position errors] can lead to large and non-Gaussian background errors. Assimilation of cloud-affected radiances using additive increments derived by variational and/or ensemble methods can be problematic in these situations. To address this problem, the Feature Calibration and Alignment technique (FCA) is used here for correcting position errors by displacing background fields. A set of two-dimensional displacement vectors is applied to forecast fields to improve the alignment of features in the forecast and observations. These displacement vectors are obtained by a nonlinear minimization of a cost function that measures the misfit to observations, along with a number of additional constraints (e.g., smoothness and nondivergence of the displacement vectors) to prevent unphysical solutions. The method was applied in an idealized case using Weather Research and Forecasting Model (WR...

[1]  Yann Michel,et al.  Heterogeneous Convective-Scale Background Error Covariances with the Inclusion of Hydrometeor Variables , 2011 .

[2]  K. Brewster,et al.  Phase-Correcting Data Assimilation and Application to Storm-Scale Numerical Weather Prediction. Part I: Method Description and Simulation Testing , 2003 .

[3]  B. Brown,et al.  Object-Based Verification of Precipitation Forecasts. Part I: Methodology and Application to Mesoscale Rain Areas , 2006 .

[4]  Andrew C. Lorenc,et al.  Modelling of error covariances by 4D‐Var data assimilation , 2003 .

[5]  Caren Marzban,et al.  An Object-Oriented Verification of Three NWP Model Formulations via Cluster Analysis: An Objective and a Subjective Analysis , 2008 .

[6]  Feng Gao,et al.  Adaptive Tuning of Numerical Weather Prediction Models: Randomized GCV in Three- and Four-Dimensional Data Assimilation , 1995 .

[7]  Caren Marzban,et al.  Cluster Analysis for Object-Oriented Verification of Fields: A Variation , 2008 .

[8]  Eric Gilleland,et al.  Application of Spatial Verification Methods to Idealized and NWP-Gridded Precipitation Forecasts , 2009 .

[9]  James A. Hansen,et al.  Alignment Error Models and Ensemble-Based Data Assimilation , 2005 .

[10]  Eugenia Kalnay,et al.  Accelerating the spin‐up of Ensemble Kalman Filtering , 2008, 0806.0180.

[11]  Caren Marzban,et al.  Three Spatial Verification Techniques: Cluster Analysis, Variogram, and Optical Flow , 2009 .

[12]  Philippe Courtier,et al.  Unified Notation for Data Assimilation : Operational, Sequential and Variational , 1997 .

[13]  Jonathan D. Beezley,et al.  Morphing ensemble Kalman filters , 2007, ArXiv.

[14]  R. Hoffman,et al.  A Technique for Assimilating SSM/I Observations of Marine Atmospheric Storms: Tests with ECMWF Analyses , 1996 .

[15]  Ling-Feng Hsiao,et al.  A Vortex Relocation Scheme for Tropical Cyclone Initialization in Advanced Research WRF , 2010 .

[16]  Wolfgang Nowak,et al.  Parameter Estimation by Ensemble Kalman Filters with Transformed Data , 2010 .

[17]  Keith Brewster Phase-Correcting Data Assimilation and Application to Storm-Scale Numerical Weather Prediction. Part II: Application to a Severe Storm Outbreak , 2003 .

[18]  Jean-Michel Brankart,et al.  Characterization of mixing errors in a coupled physical biogeochemical model of the North Atlantic: implications for nonlinear estimation using Gaussian anamorphosis , 2010 .

[19]  Dennis McLaughlin,et al.  Data assimilation by field alignment , 2007 .

[20]  Grace Wahba,et al.  THREE TOPICS IN ILL-POSED PROBLEMS , 1987 .

[21]  Jinzhong Min,et al.  Balance characteristics of multivariate background error covariances and their impact on analyses and forecasts in tropical and Arctic regions , 2013, Meteorology and Atmospheric Physics.

[22]  Jimy Dudhia,et al.  Toward a New Cloud Analysis and Prediction System , 2011 .

[23]  Yong-Run Guo,et al.  The Weather Research and Forecasting Model's Community Variational/Ensemble Data Assimilation System: WRFDA , 2012 .

[24]  Xiaogu Zheng,et al.  Thin-Plate Smoothing Spline Modeling of Spatial Climate Data and Its Application to Mapping South Pacific Rainfalls , 1995 .

[25]  Christopher Grassotti,et al.  Feature calibration and alignment to represent model forecast errors: Empirical regularization , 2003 .

[26]  Christopher Grassotti,et al.  Fusion of Surface Radar and Satellite Rainfall Data Using Feature Calibration and Alignment , 1999 .

[27]  J. Louis,et al.  Distortion Representation of Forecast Errors , 1995 .

[28]  Dusanka Zupanski,et al.  Model Error Estimation Employing an Ensemble Data Assimilation Approach , 2006 .

[29]  Dick Dee,et al.  Adaptive bias correction for satellite data in a numerical weather prediction system , 2007 .