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\title{Assessing the Material Coherence of Mesoscale Eddies as described from
In Situ Data}



\author[1]{Yan Barabinot}%
\author[1]{Sabrina Speich}%
\author[2]{Xavier J. Carton}%
\affil[1]{Ecole Normale Supérieure}%
\affil[2]{Universite de Bretagne Occidentale}%


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  \date{April 26, 2026}


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\begin{abstract}
Mesoscale eddies are a ubiquitous feature of the global ocean. According
to Lagrangian theory, these eddies often transport a distinct water mass
within their cores, making them materially coherent. This study aims to
determine if such a distinct water mass exists in eddy cores, thereby
verifying their material coherence using in situ data, despite the lack
of temporal continuity. We introduce the term ``thermohaline coherence''
to describe this approach. Identifying such a water mass would signal
Lagrangian transport from the eddy formation region. We analyzed the
water masses at the cores of various eddies sampled during eight
research cruises, using high-resolution data (approximately 20 km
horizontally and 10 m vertically). We revisited coherence definitions
and checked data accuracy. Comparing the horizontal positions of these
core anomalies with eddy surface signatures revealed that surface data
alone are insufficient for characterizing the eddy material coherence.
To calculate eddy volumes, we compare thermohaline anomalies with other
criteria and we present two methods for extrapolating eddy volumes from
a single hydrographic section. The results show that the outermost
closed contour of the Brunt-V\selectlanguage{ngerman}äisälä frequency anomaly at each depth
provides a reliable approximation for the eddy boundary.%
\end{abstract}\selectlanguage{ngerman}%



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