Abstract
Abstract. This paper presents the first comprehensive comparison of several different
dynamical-systems-based measures of stirring and Lagrangian coherence,
computed from real ocean drifters. Seven commonly used methods (finite-time
Lyapunov exponent (FTLE), trajectory path length, trajectory correlation dimension,
trajectory encounter volume, Lagrangian-averaged vorticity deviation,
dilation, and spectral clustering) were applied to 144 surface drifters in
the Gulf of Mexico in order to map out the dominant Lagrangian coherent
structures. Among the detected structures were regions of hyperbolic nature
resembling stable manifolds from classical examples, divergent and
convergent zones, and groups of drifters that moved more coherently and
stayed closer together than the rest of the drifters. Many methods
highlighted the same structures, but there were differences too. Overall, five
out of seven methods provided useful information about the geometry of transport within the domain spanned by the drifters, whereas the path length and correlation dimension methods were less useful than others.
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