A practical, hybrid model for predicting the trajectories of near-surface ocean drifters

A hybrid Lagrangian‐Eulerian model for calculating the trajectories of near-surface drifters in the ocean is developed in this study. The model employs climatological, near-surface currents computed from a spline fit of all available drifter velocities observed in the Pacific Ocean between 1988 and 1996. It also incorporates contemporaneous wind fields calculated by either the U.S. Navy [the Navy Operational Global Atmospheric Prediction System (NOGAPS)] or the European Centre for Medium-Range Weather Forecasts (ECMWF). The model was applied to 30 drifters launched in the tropical Pacific Ocean in three clusters during 1990, 1993, and 1994. For 10-day-long trajectories the forecasts computed by the hybrid model are up to 164% closer to the observed trajectories compared to the trajectories obtained by advecting the drifters with the climatological currents only. The best-fitting trajectories are computed with ECMWF fields that have a temporal resolution of 6 h. The average improvement over all 30 drifters of the hybrid model trajectories relative to advection by the climatological currents is 21%, but in the open-ocean clusters (1990 and 1993) the improvement is 42% with ECMWF winds (34% with NOGAPS winds). This difference between the open-ocean and coastal clusters is due to the fact that the model does not presently include the effect of horizontal boundaries (coastlines). For zero initial velocities the trajectories generated by the hybrid model are significantly more accurate than advection by the mean currents on time scales of 5‐15 days. For 3-day-long trajectories significant improvement is achieved if the drifter’s initial velocity is known, in which case the model-generated trajectories are about 2 times closer to observations than persistence. The model’s success in providing more accurate trajectories indicates that drifters’ motion can deviate significantly from the climatological current and that the instantaneous winds are more relevant to their trajectories than the mean surface currents. It also demonstrates the importance of an accurate initial velocity, especially for short trajectories on the order of 1‐3 days. A possible interpretation of these results is that winds affect drifter motion more than the water velocity since drifters do not obey continuity.

[1]  M. Maltrud,et al.  Lagrangian flow in the California Undercurrent, an observation and model comparison , 2001 .

[2]  Annalisa Griffa,et al.  Applications of stochastic particle models to oceanographic problems , 1996 .

[3]  Arthur J. Mariano,et al.  The Mariano Global Surface Velocity Analysis 1.0. , 1995 .

[4]  D. Thomson,et al.  A random walk model of dispersion in turbulent flows and its application to dispersion in a valley , 1986 .

[5]  T. M. Chin,et al.  Feature and contour based data analysis and assimilation in physical oceanography , 1996 .

[6]  P. Flament,et al.  Observations of a Tropical Instability Vortex , 2000 .

[7]  J. Church,et al.  Ocean Circulation and Climate: Observing and Modelling the Global Ocean , 2001 .

[8]  S. Dutkiewicz,et al.  On the Mixing Enhancement in a Meandering Jet Due to the Interaction with an Eddy , 1994 .

[9]  J. F. Festa,et al.  Evolution of the climatological near‐surface thermal structure of the tropical Indian Ocean: 1. Description of mean monthly mixed layer depth, and sea surface temperature, surface current, and surface meteorological fields , 1989 .

[10]  Leonid I. Piterbarg,et al.  Predictability of Drifter Trajectories in the Tropical Pacific Ocean , 2001 .

[11]  D. Thomson Criteria for the selection of stochastic models of particle trajectories in turbulent flows , 1987, Journal of Fluid Mechanics.

[12]  Annalisa Griffa,et al.  On the Predictability of Lagrangian Trajectories in the Ocean , 2000 .

[13]  Antonello Provenzale,et al.  Parameterization of dispersion in two-dimensional turbulence , 2001, Journal of Fluid Mechanics.

[14]  D. Olbers,et al.  Wind-driven inertial waves observed during Phase III of GATE , 1979 .

[15]  S. Bauer Eddy-mean flow decomposition and eddy-diffusivity estimates in the tropical Pacific Ocean , 1998 .

[16]  H. Aref Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[17]  A. E. Gill Atmosphere-Ocean Dynamics , 1982 .

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

[19]  Improving the calculation of particle trajectories in the extra-tropical troposphere using standard NCEP fields , 2002 .

[20]  H. Aref Chaotic advection of fluid particles , 1990, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[21]  H. Herwig,et al.  Influence of variable properties on the stability of two-dimensional boundary layers , 1992, Journal of Fluid Mechanics.

[22]  James C. McWilliams,et al.  Material Transport in Oceanic Gyres. Part II: Hierarchy of Stochastic Models , 2002 .

[23]  J. Paduan,et al.  Structure of Velocity and Temperature in the Northeast Pacific as Measured with Lagrangian Drifters in Fall 1987 , 1993 .

[24]  Annalisa Griffa,et al.  Prediction of particle trajectories in the Adriatic Sea using Lagrangian data assimilation , 2001 .

[25]  Mathew E. Maltrud,et al.  Eulerian and Lagrangian Statistics from Surface Drifters and a High-Resolution POP Simulation in the North Atlantic , 2002 .

[26]  R. Käse Calculations of the energy transfer by the wind to near-inertial waves , 1979 .

[27]  R. Millard,et al.  Comparison between observed and simulated wind-generated inertial oscillations , 1970 .

[28]  A. Mariano,et al.  Lagrangian data in a high-resolution numerical simulation of the North Atlantic: II. On the pseudo-Eulerian averaging of Lagrangian data , 2001 .

[29]  Elise Ralph,et al.  Wind-Driven Currents in the Tropical Pacific , 1999 .

[30]  Glenn R. Flierl,et al.  Particle motions in large-amplitude wave fields , 1981 .

[31]  C. Basdevant,et al.  Reconstructing balloon trajectories in the tropical stratosphere with a hybrid model using analysed fields , 2001 .

[32]  N. Paldor The transport in the Ekman surface layer on the spherical Earth , 2002 .

[33]  A. Bower A Simple Kinematic Mechanism for Mixing Fluid Parcels across a Meandering Jet , 1991 .

[34]  R. Davis On relating Eulerian and Lagrangian velocity statistics: single particles in homogeneous flows , 1982, Journal of Fluid Mechanics.

[35]  G. Mitchum,et al.  Tropical Pacific near‐surface currents estimated from altimeter, wind, and drifter data , 1999 .

[36]  A. Mariano,et al.  Lagrangian Data in a High Resolution Numerical Simulation of the North Atlantic. I: Comparison with , 2001 .

[37]  P. Poulain,et al.  Quality Control and Interpolations of WOCE-TOGA Drifter Data , 1996 .

[38]  P. Killworth,et al.  Inertial Trajectories on a Rotating Earth , 1988 .