Intercomparison and Coupling of Ensemble and Four-Dimensional Variational Data Assimilation Methods for the Analysis and Forecasting of Hurricane Karl (2010)

AbstractThis study examines the performance of ensemble and variational data assimilation systems for the Weather Research and Forecasting (WRF) Model. These methods include an ensemble Kalman filter (EnKF), an incremental four-dimensional variational data assimilation (4DVar) system, and a hybrid system that uses a two-way coupling between the two approaches (E4DVar). The three methods are applied to assimilate routinely collected data and field observations over a 10-day period that spans the life cycle of Hurricane Karl (2010), including the pregenesis disturbance that preceded its development into a tropical cyclone. In general, forecasts from the E4DVar analyses are found to produce smaller 48–72-h forecast errors than the benchmark EnKF and 4DVar methods for all variables and verification methods tested in this study. The improved representation of low- and midlevel moisture and vorticity in the E4DVar analyses leads to more accurate track and intensity predictions by this system. In particular, E4D...

[1]  Lance F. Bosart,et al.  Mesoscale Observations of the Genesis of Hurricane Dolly (1996) , 2005 .

[2]  Fuqing Zhang,et al.  E3DVar: Coupling an Ensemble Kalman Filter with Three-Dimensional Variational Data Assimilation in a Limited-Area Weather Prediction Model and Comparison to E4DVar , 2013 .

[3]  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 .

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

[5]  Fuqing Zhang,et al.  Factors Affecting the Predictability of Hurricane Humberto (2007) , 2010 .

[6]  P. Courtier,et al.  A strategy for operational implementation of 4D‐Var, using an incremental approach , 1994 .

[7]  E. Kalnay,et al.  C ○ 2007 The Authors , 2006 .

[8]  David D. Parrish,et al.  GSI 3DVar-Based Ensemble-Variational Hybrid Data Assimilation for NCEP Global Forecast System: Single-Resolution Experiments , 2013 .

[9]  Fuqing Zhang,et al.  Tests of an Ensemble Kalman Filter for Mesoscale and Regional-Scale Data Assimilation. Part III: Comparison with 3DVAR in a Real-Data Case Study , 2008 .

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

[11]  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 .

[12]  Fuqing Zhang,et al.  E4DVar: Coupling an Ensemble Kalman Filter with Four-Dimensional Variational Data Assimilation in a Limited-Area Weather Prediction Model , 2012 .

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

[14]  P. Houtekamer,et al.  Data Assimilation Using an Ensemble Kalman Filter Technique , 1998 .

[15]  Jonathan Poterjoy,et al.  E3DVar: Coupling an Ensemble Kalman Filter with Three-Dimensional Variational Data Assimilation in a Limited-Area Weather Prediction Model and Comparison to E4DVar , 2013 .

[16]  T. Dunkerton,et al.  Tropical cyclogenesis in a tropical wave critical layer: easterly waves , 2008 .

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

[18]  Fuqing Zhang,et al.  Intercomparison of an Ensemble Kalman Filter with Three- and Four-Dimensional Variational Data Assimilation Methods in a Limited-Area Model over the Month of June 2003 , 2011 .

[19]  Tyrus Berry,et al.  Ensemble Kalman Filtering without a Model , 2016 .

[20]  T. Hamill,et al.  On the Theoretical Equivalence of Differently Proposed Ensemble 3DVAR Hybrid Analysis Schemes , 2007 .

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

[22]  Shannon T. Brown,et al.  NASA's Genesis and Rapid Intensification Processes (GRIP) Field Experiment , 2012 .

[23]  Greg Michael McFarquhar,et al.  Nasa's tropical cloud systems and processes experiment : Investigating tropical cyclogenesis and hurricane intensity change , 2007 .

[24]  Zhuo Wang,et al.  A First Look at the Structure of the Wave Pouch during the 2009 PREDICT–GRIP Dry Runs over the Atlantic , 2012 .

[25]  Fuqing Zhang,et al.  Predictability and Genesis of Hurricane Karl (2010) Examined through the EnKF Assimilation of Field Observations Collected during PREDICT , 2014 .

[26]  Ryan D. Torn,et al.  The Pre-Depression Investigation of Cloud-Systems in the Tropics (PREDICT) Experiment: Scientific Basis, New Analysis Tools, and Some First Results , 2012 .

[27]  Fuqing Zhang,et al.  Evolution of Multiscale Vortices in the Development of Hurricane Dolly (2008) , 2010 .

[28]  Fuqing Zhang,et al.  A Probabilistic Analysis of the Dynamics and Predictability of Tropical Cyclogenesis , 2008 .

[29]  Christopher A. Davis,et al.  The Role of “Vortical” Hot Towers in the Formation of Tropical Cyclone Diana (1984) , 2004 .

[30]  C. Davis,et al.  Mesoscale Structural Evolution of Three Tropical Weather Systems Observed during PREDICT , 2012 .

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

[32]  Fuqing Zhang,et al.  Coupling ensemble Kalman filter with four-dimensional variational data assimilation , 2009 .

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

[34]  Craig H. Bishop,et al.  Comparison of Hybrid Ensemble/4DVar and 4DVar within the NAVDAS-AR Data Assimilation Framework , 2013 .

[35]  M. Buehner,et al.  Intercomparison of Variational Data Assimilation and the Ensemble Kalman Filter for Global Deterministic NWP. Part II: One-Month Experiments with Real Observations , 2010 .

[36]  S. Barnes,et al.  A Technique for Maximizing Details in Numerical Weather Map Analysis , 1964 .

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

[38]  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 .

[39]  R. Torn,et al.  The Role of Vortex and Environment Errors in Genesis Forecasts of Hurricanes Danielle and Karl (2010) , 2013 .

[40]  D. Nychka Data Assimilation” , 2006 .

[41]  Chris Snyder,et al.  A Hybrid ETKF-3DVAR Data Assimilation Scheme for the WRF Model. Part I: Observing System Simulation Experiment , 2008 .

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

[43]  Philippe Courtier,et al.  Dynamical structure functions in a four‐dimensional variational assimilation: A case study , 1996 .

[44]  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 .

[45]  Melville E. Nicholls,et al.  A Vortical Hot Tower Route to Tropical Cyclogenesis. , 2006 .

[46]  Zhuo Wang Thermodynamic Aspects of Tropical Cyclone Formation , 2012 .

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