Bred-ensemble ocean forecast of loop current and rings

Abstract Ocean forecasting with a General Circulation Model (GCM) commonly begins from an initial analysis obtained by data assimilation. Instead of a single initial state, bred-ensemble forecast [BEnF; which is used for weather forecasting at the National Centers for Environmental Prediction] begins from an ensemble of initial states obtained by using the GCM to breed fast-growing modes into the analysis. Here we apply the technique to forecast the locations and strengths of the Loop Current and rings from July through September 2005. Model results are compared against satellite observations, surface drifter trajectories, and moored currents. It is found that BEnF gives closer agreements with observations than the conventional single forecast. The bred-vectors (perturbed minus unperturbed state-vectors) have growth rates ≈0.04–0.08 day−1 and spatial (cyclone–anticyclone) scales ≈200–300 km suggestive of baroclinic instability mode in the Loop Current and rings. As in atmospheric applications, initializations with these growing vectors contribute to the more accurate ensemble mean forecast.

[1]  L. Oey,et al.  Modeled and Observed Empirical Orthogonal Functions of Currents in the Yucatan Channel, Gulf of Mexico , 2004 .

[2]  E. Lorenz,et al.  The essence of chaos , 1993 .

[3]  George L. Mellor,et al.  A Gulf Stream model and an altimetry assimilation scheme , 1991 .

[4]  M. Zweng,et al.  Anticyclonic rings in the Gulf of Mexico , 2007 .

[5]  T. Awaji,et al.  Tidal Exchange through a Strait: A Numerical Experiment Using a Simple Model Basin , 1980 .

[6]  Nicolas Reul,et al.  On the limiting aerodynamic roughness of the ocean in very strong winds , 2004 .

[7]  E. Lorenz A study of the predictability of a 28-variable atmospheric model , 1965 .

[8]  Tal Ezer,et al.  An exercise in forecasting loop current and eddy frontal positions in the Gulf of Mexico , 2005 .

[9]  Lie-Yauw Oey,et al.  The generation of subsurface cyclones and jets through eddy-slope interaction , 2004 .

[10]  L. Oey Simulation of Mesoscale Variability in the Gulf of Mexico: Sensitivity Studies, Comparison with Observations, and Trapped Wave Propagation , 1996 .

[11]  X.-H. Lin,et al.  Altimetry and drifter data assimilations of loop current and eddies , 2007 .

[12]  Hyun-chul Lee,et al.  Effects of winds and Caribbean eddies on the frequency of Loop Current eddy shedding: A numerical model study , 2003 .

[13]  I. Ginis,et al.  Effect of surface waves on Charnock coefficient under tropical cyclones , 2004 .

[14]  T. Yamagata,et al.  Ensemble forecast of the Kuroshio meandering , 2005 .

[15]  Eugenia Kalnay,et al.  Ensemble Forecasting at NMC: The Generation of Perturbations , 1993 .

[16]  J. Reid,et al.  Winter Circulation Patterns and Property Distributions , 1972 .

[17]  M. Powell,et al.  Reduced drag coefficient for high wind speeds in tropical cyclones , 2003, Nature.

[18]  L. Oey,et al.  Assimilation of drifter and satellite data in a model of the Northeastern Gulf of Mexico , 2004 .

[19]  George L. Mellor,et al.  One-Dimensional, Ocean Surface Layer Modeling: A Problem and a Solution , 2001 .

[20]  E. Kalnay,et al.  ENSO Bred Vectors in Coupled Ocean–Atmosphere General Circulation Models , 2006 .

[21]  W. Large,et al.  Open Ocean Momentum Flux Measurements in Moderate to Strong Winds , 1981 .

[22]  Christopher K. Wikle,et al.  Atmospheric Modeling, Data Assimilation, and Predictability , 2005, Technometrics.

[23]  E. Kalnay,et al.  Ensemble Forecasting at NCEP and the Breeding Method , 1997 .

[24]  Brady A. Elliott,et al.  Anticyclonic Rings in the Gulf of Mexico , 1982 .

[25]  C. Leith Theoretical Skill of Monte Carlo Forecasts , 1974 .

[26]  L. Oey Eddy‐ and wind‐forced shelf circulation , 1995 .

[27]  P. K. Kundu,et al.  An Analysis of Inertial Oscillations Observed Near Oregon Coast , 1976 .

[28]  J. Price,et al.  Upper Ocean Response to a Hurricane , 1981 .

[29]  L. Oey Vorticity flux through the Yucatan Channel and Loop Current variability in the Gulf of Mexico , 2004 .

[30]  G. Forristall,et al.  Velocity and hydrographic structure of two Gulf of Mexico warm‐core rings , 1990 .

[31]  L. Oey,et al.  Near-Surface Currents in DeSoto Canyon (1997–99): Comparison of Current Meters, Satellite Observation, and Model Simulation , 2003 .

[32]  Lie-Yauw Oey,et al.  Deep Eddy Energy and Topographic Rossby Waves in the Gulf of Mexico , 2002 .

[33]  G. Mellor USERS GUIDE for A THREE-DIMENSIONAL, PRIMITIVE EQUATION, NUMERICAL OCEAN MODEL , 1998 .

[34]  J. MacKinnon,et al.  Shear and Baroclinic Energy Flux on the Summer New England Shelf , 2003 .

[35]  Gilles Reverdin,et al.  Global high-resolution mapping of ocean circulation from TOPEX/Poseidon and ERS-1 and -2 , 2000 .

[36]  Lee Lawyer,et al.  The challenge of The Sudan , 1984 .

[37]  George L. Mellor,et al.  Continuous assimilation of Geosat altimeter data into a three-dimensional primitive equation Gulf Stream model , 1994 .

[38]  J. Bye,et al.  Drag coefficient reduction at very high wind speeds , 2006 .

[39]  Martin Ehrendorfer,et al.  Optimal Prediction of Forecast Error Covariances through Singular Vectors , 1997 .

[40]  M. Banner,et al.  Modeling Wave-Enhanced Turbulence in the Ocean Surface Layer , 1994 .

[41]  Mark DeMaria,et al.  Sea Surface Temperature and the Maximum Intensity of Atlantic Tropical Cyclones , 1994 .

[42]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[43]  Fred M. Vukovich,et al.  An updated evaluation of the Loop Current's eddy‐shedding frequency , 1995 .

[44]  F. Vukovich,et al.  Aspects of warm rings in the Gulf of Mexico , 1986 .

[45]  G. Mellor,et al.  Development of a turbulence closure model for geophysical fluid problems , 1982 .

[46]  G. Forristall,et al.  Evolution and kinematics of a loop current eddy in the Gulf of Mexico during 1985 , 1992 .

[47]  Peter R. Oke,et al.  A Modeling Study of the Three-Dimensional Continental Shelf Circulation off Oregon. Part II: Dynamical Analysis , 2002 .

[48]  Peter R. Oke,et al.  A Modeling Study of the Three-Dimensional Continental Shelf Circulation off Oregon. Part I: Model-Data Comparisons , 2002 .

[49]  Douglas Volgenau Hurricane Heat Potential of the Gulf of Mexico , 1972 .

[50]  Robert R. Leben,et al.  Frequency of Ring Separations from the Loop Current in the Gulf of Mexico: A Revised Estimate , 2000 .

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

[52]  Remko Scharroo,et al.  Satellite altimetry and the intensification of Hurricane Katrina , 2005 .

[53]  Tal Ezer,et al.  Loop Current warming by Hurricane Wilma , 2006 .

[54]  J. Sheinbaum,et al.  Flow structure and transport in the Yucatan Channel , 2002 .

[55]  L. Oey,et al.  Hurricane-induced motions and interaction with ocean currents , 2007 .

[56]  J. Reid,et al.  Contributions on the Physical Oceanography of the Gulf of Mexico , 1972 .

[57]  Keith Haines,et al.  Data assimilation in ocean models , 1996 .

[58]  John A. Knaff,et al.  Further improvements to the Statistical Hurricane Intensity Prediction Scheme (SHIPS) , 2005 .

[59]  Hyun-chul Lee,et al.  The variability of currents in the Yucatan Channel: Analysis of results from a numerical ocean model , 2003 .

[60]  Dong-Ping Wang Model of frontogenesis: Subduction and upwelling , 1993 .

[61]  David M. Fratantoni,et al.  On the Atlantic inflow to the Caribbean Sea , 2002 .

[62]  John Derber,et al.  Changes to the 1995 NCEP Operational Medium-Range Forecast Model Analysis-Forecast System , 1997 .

[63]  S. Sugimoto,et al.  Short-Range Prediction Experiments with Operational Data Assimilation System for the Kuroshio South of Japan , 2004 .

[64]  Ping Chen,et al.  A model simulation of circulation in the northeast Atlantic shelves and seas , 1992 .

[65]  Igor Shulman,et al.  HF radar data assimilation in the Monterey Bay area , 2004 .