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Molkenthin et al 2015, Networks from Flows.pdf1,59 MBAdobe PDFView/Open
Title: Networks from Flows - From Dynamics to Topology
Authors: Molkenthin, N.Rehfeld, K.Marwan, N.Kurths, J.
Publishers Version: https://doi.org/10.1038/srep04119
Issue Date: 2014
Published in: Scientific Reports Vol. 4 (2014)
Publisher: London : Nature Publishing Group
Abstract: Complex network approaches have recently been applied to continuous spatial dynamical systems, like climate, successfully uncovering the system's interaction structure. However the relationship between the underlying atmospheric or oceanic flow's dynamics and the estimated network measures have remained largely unclear. We bridge this crucial gap in a bottom-up approach and define a continuous analytical analogue of Pearson correlation networks for advection-diffusion dynamics on a background flow. Analysing complex networks of prototypical flows and from time series data of the equatorial Pacific, we find that our analytical model reproduces the most salient features of these networks and thus provides a general foundation of climate networks. The relationships we obtain between velocity field and network measures show that line-like structures of high betweenness mark transition zones in the flow rather than, as previously thought, the propagation of dynamical information.
Keywords: complex networks; climate; Pearson correlation networks
DDC: 530
License: CC BY-NC-SA 3.0 Unported
Link to License: https://creativecommons.org/licenses/by-nc-sa/3.0/
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