Regensburg 2019 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 12: Poster

SOE 12.11: Poster

Dienstag, 2. April 2019, 16:00–19:00, Poster A

Edge directionality properties in complex spherical networks — •Frederik Wolf1,2, Catrin Kirsch1, and Reik Donner1,31Potsdam Institute for Climate Impact Research, Research Domain 4 — 2HU Berlin, Department of Physics — 3Hochschule Magdeburg-Stendal, Department of Water, Environment, Construction and Safety

Spatially embedded networks have recently attracted increasing attention. In their context, new types of network characteristics have been introduced recently which explicitly take spatial information into account. Among others, edge directionality properties have gained particular interest.

In this work, we introduce the mean edge direction, local anisotropy and local mean angle as new broadly applicable geometric network measures for spatial networks. Subsequently, we illustrate characteristic features of these edge directionality measures by applying them to two different examples of real-world spherical networks describing air transportation and global trade.

In the air transportation network, we identify distinct traffic zones in Europe, North and South America as well as in East Asia. In the world trade network, we confirm the important role of the European Union for global trade by identifying convergent edge directionality pattern. In addition, we reveal different roles of various countries in the world trade system by comparing import and export networks. The employed method provides a framework to utilize the geographical information encoded in spatially embedded networks and thus contributes to a better understanding of real-world networks using a geometric approach.

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