Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples
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s41467-021-25155-9.pdf
Description
Published version
Size
4.24 MB
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Checksum (MD5)
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Author(s)
Ser-Giacomi, Enrico
Baudena, Alberto
Rossi, Vincent
Follows, Mick
Clayton, Sophie
Vasile, Ruggero
López, Cristóbal
Hernández-García, Emilio
Date Issued
2021
Journal
Nature Communications
Publisher
Springer Science and Business Media LLC
Citation
Ser-Giacomi, Enrico, Baudena, Alberto, Rossi, Vincent, Follows, Mick, Clayton, Sophie et al. 2021. "Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples." Nature Communications, 12 (1).
Version
Final published version
Abstract
AbstractThe study of connectivity patterns in networks has brought novel insights across diverse fields ranging from neurosciences to epidemic spreading or climate. In this context, betweenness centrality has demonstrated to be a very effective measure to identify nodes that act as focus of congestion, or bottlenecks, in the network. However, there is not a way to define betweenness outside the network framework. By analytically linking dynamical systems and network theory, we provide a trajectory-based formulation of betweenness, called Lagrangian betweenness, as a function of Lyapunov exponents. This extends the concept of betweenness beyond the context of network theory relating hyperbolic points and heteroclinic connections in any dynamical system to the structural bottlenecks of the network associated with it. Using modeled and observational velocity fields, we show that such bottlenecks are present and surprisingly persistent in the oceanic circulation across different spatio-temporal scales and we illustrate the role of these areas in driving fluid transport over vast oceanic regions. Analyzing plankton abundance data from the Kuroshio region of the Pacific Ocean, we find significant spatial correlations between measures of diversity and betweenness, suggesting promise for ecological applications.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1038/S41467-021-25155-9
