Berlin 2015 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 63: Physics of Sustainability and Human-Nature Interactions II (joint session SOE/ DY/ jDPG/ BP)
DY 63.3: Vortrag
Donnerstag, 19. März 2015, 17:45–18:00, MA 001
Macroscopic description of complex adaptive networks co-evolving with dynamic node states — •Marc Wiedermann1,2, Jonathan F. Donges1,3, Jobst Heitzig1, Wolfgang Lucht1,2, and Jürgen Kurths1,2 — 1Potsdam Insitute for Climate Impact Research, Germany — 2Humboldt University, Berlin, Germany — 3Stockholm Resilience Centre, Stockholm University, Sweden
When investigating the causes and consequences of global change, the collective behavior of human beings is believed to have a considerable impact on natural systems. Here, we study opinion formation and imitation of nodes on a complex network depending on the state of individual resource stocks that are harvested by each node. Numerical simulations reveal that high interaction rates between nodes cause a likely depletion of the resource whereas low interaction rates ensure their sustainable existence. However, adaptively rewiring the nodes' neighborhood structure with an appropriate frequency guides the system into an equilibrium state where all nodes behave sustainably and a full depletion of the resource stocks is avoided. In order to explain these observations, we derive a consistent macroscopic description of the system, which provides a general framework to model and quantify the influence of single node dynamics on the macroscopic state of a network and is applicable to many fields of study, such as epidemic spreading or social modeling. Our results suggest that with the current trend to faster imitation and ever increasing global network connectivity, societies are becoming more vulnerable to environmental collapse if they remain myopic at the same time.