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  Correlation networks from flows. The case of forced and time-dependent advection-diffusion dynamics

Tupikina, L., Molkenthin, N., López, C., Hernández-García, E., Marwan, N., Kurths, J. (2016): Correlation networks from flows. The case of forced and time-dependent advection-diffusion dynamics. - PloS ONE, 11, 4, e0153703.
https://doi.org/10.1371/journal.pone.0153703

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 Creators:
Tupikina, Liubov1, Author              
Molkenthin, N.2, Author
López, C.2, Author
Hernández-García, E.2, Author
Marwan, Norbert1, Author              
Kurths, Jürgen1, Author              
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1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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 Abstract: Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system. Network links in climate networks typically imply information, mass or energy exchange. However, the specific connection between oceanic or atmospheric flows and the climate network’s structure is still unclear. We propose a theoretical approach for verifying relations between the correlation matrix and the climate network measures, generalizing previous studies and overcoming the restriction to stationary flows. Our methods are developed for correlations of a scalar quantity (temperature, for example) which satisfies an advection-diffusion dynamics in the presence of forcing and dissipation. Our approach reveals that correlation networks are not sensitive to steady sources and sinks and the profound impact of the signal decay rate on the network topology. We illustrate our results with calculations of degree and clustering for a meandering flow resembling a geophysical ocean jet.

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 Dates: 2016
 Publication Status: Finally published
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1371/journal.pone.0153703
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 7210
Research topic keyword: Nonlinear Dynamics
Research topic keyword: Complex Networks
Research topic keyword: Atmosphere
Model / method: Nonlinear Data Analysis
Organisational keyword: RD4 - Complexity Science
Working Group: Network- and machine-learning-based prediction of extreme events
 Degree: -

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Title: PloS ONE
Source Genre: Journal, SCI, Scopus, p3, OA
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Pages: - Volume / Issue: 11 (4) Sequence Number: e0153703 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/r1311121