The Effects of Sampling Errors on the EnKF Assimilation of Inner-Core Hurricane Observations

AbstractAtmospheric data assimilation methods that estimate flow-dependent forecast statistics from ensembles are sensitive to sampling errors. This sensitivity is investigated in the context of vortex-scale hurricane data assimilation by cycling an ensemble Kalman filter to assimilate observations with a convection-permitting mesoscale model. In a set of numerical experiments, airborne Doppler radar observations are assimilated for Hurricane Katrina (2005) using an ensemble size that ranges from 30 to 300 members, and a varying degree of covariance inflation through relaxation to the prior. The range of ensemble sizes is shown to produce variations in posterior storm structure that persist for days in deterministic forecasts, with the most substantial differences appearing in the vortex outer-core wind and pressure fields. Ensembles with 60 or more members converge toward similar axisymmetric and asymmetric inner-core solutions by the end of the cycling, while producing qualitatively similar sample corre...

[1]  Olivier Talagrand,et al.  Assimilation of Observations, an Introduction (gtSpecial IssueltData Assimilation in Meteology and Oceanography: Theory and Practice) , 1997 .

[2]  Ryan D. Torn,et al.  Boundary Conditions for Limited-Area Ensemble Kalman Filters , 2006 .

[3]  Ryan D. Torn,et al.  Performance Characteristics of a Pseudo-Operational Ensemble Kalman Filter , 2008 .

[4]  G. Evensen Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[5]  Mingjing Tong,et al.  Ensemble kalman filter assimilation of doppler radar data with a compressible nonhydrostatic model : OSS experiments , 2005 .

[6]  David J. Stensrud,et al.  Surface Data Assimilation Using an Ensemble Kalman Filter Approach with Initial Condition and Model Physics Uncertainties , 2005 .

[7]  Jeffrey L. Anderson Spatially and temporally varying adaptive covariance inflation for ensemble filters , 2009 .

[8]  Y. Weng,et al.  Performance of convection‐permitting hurricane initialization and prediction during 2008–2010 with ensemble data assimilation of inner‐core airborne Doppler radar observations , 2011 .

[9]  Benjamin W. Green,et al.  Impacts of Air–Sea Flux Parameterizations on the Intensity and Structure of Tropical Cyclones , 2013 .

[10]  Juanzhen Sun,et al.  Impacts of Initial Estimate and Observation Availability on Convective-Scale Data Assimilation with an Ensemble Kalman Filter , 2004 .

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

[12]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[13]  J. Whitaker,et al.  Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter , 2001 .

[14]  Jimy Dudhia,et al.  Four-Dimensional Variational Data Assimilation for WRF : Formulation and Preliminary Results , 2009 .

[15]  K. Vairavan,et al.  Performance Characteristics of a , 1995 .

[16]  W. M. Gray,et al.  Typhoon Structure as Revealed by Aircraft Reconnaissance. Part II: Structural Variability , 1988 .

[17]  W. M. Gray,et al.  Typhoon Structure as Revealed by Aircraft Reconnaissance. Part I: Data Analysis and Climatology , 1988 .

[18]  S. Aberson,et al.  Thirty Years of Tropical Cyclone Research with the NOAA P-3 Aircraft , 2006 .

[19]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[20]  Storm-Relative Observations in Tropical Cyclone Data Assimilation with an Ensemble Kalman Filter , 2013 .

[21]  S. Aberson,et al.  The HWRF Hurricane Ensemble Data Assimilation System (HEDAS) for High-Resolution Data: The Impact of Airborne Doppler Radar Observations in an OSSE , 2012 .

[22]  C. Bishop,et al.  Cloud-Resolving Hurricane Initialization and Prediction through Assimilation of Doppler Radar Observations with an Ensemble Kalman Filter , 2009 .

[23]  Louis J. Wicker,et al.  Wind and Temperature Retrievals in the 17 May 1981 Arcadia, Oklahoma, Supercell: Ensemble Kalman Filter Experiments , 2004 .

[24]  D. Dee On-line Estimation of Error Covariance Parameters for Atmospheric Data Assimilation , 1995 .

[25]  F. Marks,et al.  The Hurricane Forecast Improvement Project , 2013 .

[26]  C. Snyder,et al.  A Multicase Comparative Assessment of the Ensemble Kalman Filter for Assimilation of Radar Observations. Part I: Storm-Scale Analyses , 2009 .

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

[28]  Jeffrey L. Anderson,et al.  A Monte Carlo Implementation of the Nonlinear Filtering Problem to Produce Ensemble Assimilations and Forecasts , 1999 .

[29]  R. Kalman,et al.  New results in linear prediction and filtering theory Trans. AMSE , 1961 .

[30]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

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

[32]  Wei Huang,et al.  A Three-Dimensional Variational Data Assimilation System for MM5: Implementation and Initial Results , 2004 .

[33]  Fuqing Zhang,et al.  Tests of an Ensemble Kalman Filter for Mesoscale and Regional-Scale Data Assimilation. Part I: Perfect Model Experiments , 2006 .

[34]  S. Cohn,et al.  Ooce Note Series on Global Modeling and Data Assimilation Construction of Correlation Functions in Two and Three Dimensions and Convolution Covariance Functions , 2022 .

[35]  Y. Weng,et al.  Ensemble Kalman Filter Assimilation of Simulated HIWRAP Doppler Velocity Data in a Hurricane , 2013 .

[36]  T. Miyoshi The Gaussian Approach to Adaptive Covariance Inflation and Its Implementation with the Local Ensemble Transform Kalman Filter , 2011 .

[37]  Chris Snyder,et al.  Assimilating vortex position with an ensemble kalman filter , 2005 .

[38]  C. Guard,et al.  Tropical Cyclone Report , 1989 .

[39]  P. Houtekamer,et al.  An Adaptive Ensemble Kalman Filter , 2000 .

[40]  Fuqing Zhang,et al.  Tests of an Ensemble Kalman Filter for Mesoscale and Regional-Scale Data Assimilation. Part IV: Comparison with 3DVAR in a Month-Long Experiment , 2007 .

[41]  Fuqing Zhang,et al.  Assimilating Airborne Doppler Radar Observations with an Ensemble Kalman Filter for Convection-Permitting Hurricane Initialization and Prediction: Katrina (2005) , 2012 .

[42]  Fuqing Zhang,et al.  Dynamics and Structure of Forecast Error Covariance in the Core of a Developing Hurricane , 2011 .

[43]  Wen-Chau Lee,et al.  Hurricane Intensity and Eyewall Replacement , 2007, Science.

[44]  C. Snyder,et al.  Assimilation of Simulated Doppler Radar Observations with an Ensemble Kalman Filter , 2003 .