Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples
<jats:title>Abstract</jats:title><jats:p>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 meas...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2023
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| Online Access: | https://hdl.handle.net/1721.1/148086 |
| _version_ | 1811075687542423552 |
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| author | Ser-Giacomi, Enrico Baudena, Alberto Rossi, Vincent Follows, Mick Clayton, Sophie Vasile, Ruggero López, Cristóbal Hernández-García, Emilio |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Ser-Giacomi, Enrico Baudena, Alberto Rossi, Vincent Follows, Mick Clayton, Sophie Vasile, Ruggero López, Cristóbal Hernández-García, Emilio |
| author_sort | Ser-Giacomi, Enrico |
| collection | MIT |
| description | <jats:title>Abstract</jats:title><jats:p>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.</jats:p> |
| first_indexed | 2024-09-23T10:10:20Z |
| format | Article |
| id | mit-1721.1/148086 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:10:20Z |
| publishDate | 2023 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1480862023-02-17T03:37:24Z Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples Ser-Giacomi, Enrico Baudena, Alberto Rossi, Vincent Follows, Mick Clayton, Sophie Vasile, Ruggero López, Cristóbal Hernández-García, Emilio Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences <jats:title>Abstract</jats:title><jats:p>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.</jats:p> 2023-02-16T13:48:00Z 2023-02-16T13:48:00Z 2021 2023-02-16T13:38:21Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/148086 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). en 10.1038/S41467-021-25155-9 Nature Communications Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Science and Business Media LLC Nature |
| spellingShingle | Ser-Giacomi, Enrico Baudena, Alberto Rossi, Vincent Follows, Mick Clayton, Sophie Vasile, Ruggero López, Cristóbal Hernández-García, Emilio Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title | Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title_full | Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title_fullStr | Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title_full_unstemmed | Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title_short | Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| title_sort | lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples |
| url | https://hdl.handle.net/1721.1/148086 |
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