ArticleNature communications2021
Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Fluid dynamics reduction methods for temporal networks.Scientific reports · 2026Article
- Water mass specific genes dominate the Southern Ocean microbiome.Nature communications · 2026Article
- Determination of the latent geometry of atorvastatin pharmacokinetics by transfer entropy to identify bottlenecks.BMC pharmacology & toxicology · 2025Article
- Power law of path multiplicity in complex networks.PNAS nexus · 2024Article
- Deciphering the similarities and disparities of molecular mechanisms behind respiratory epithelium response to HCoV-229E and SARS-CoV-2 and drug repurposing, a systems biology approach.Daru : journal of Faculty of Pharmacy, Tehran University of Medical Sciences · 2024Article
- Open science resources from the Tara Pacific expedition across coral reef and surface ocean ecosystems.Scientific data · 2023Article
- Oceanographic connectivity explains the intra-specific diversity of mangrove forests at global scales.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
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Authors and funding
8 authors.
Funding
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Abstract
The 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.
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