title: Correlation Networks from Flows. The Case of Forced and Time-Dependent Advection-Diffusion Dynamics.
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.
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany.|Humboldt Universität zu Berlin, 10099 Berlin, Germany.
authors.forename: Liubov
authors.initials: L
authors.lastname: Tupikina
authors.affiliation: Department of Physics, Technical University of Darmstadt, 64289 Darmstadt, Germany.
authors.forename: Nora
authors.initials: N
authors.lastname: Molkenthin
authors.affiliation: IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122, Palma de Mallorca, Spain.
authors.forename: Cristóbal
authors.initials: C
authors.lastname: López
authors.affiliation: IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, Campus Universitat de les Illes Balears, E-07122, Palma de Mallorca, Spain.
authors.forename: Emilio
authors.initials: E
authors.lastname: Hernández-García
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany.
authors.forename: Norbert
authors.initials: N
authors.lastname: Marwan
authors.affiliation: Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany.|Humboldt Universität zu Berlin, 10099 Berlin, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D000465:Algorithms; D002980:Climate; D004058:Diffusion; D055593:Geological Phenomena; D008962:Models, Theoretical; D013696:Temperature