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Spatial networks have recently attracted great interest in various fields of research. While the traditional network-theoretic viewpoint is commonly restricted to their topological characteristics (often disregarding existing spatial constraints), this work takes a geometric perspective, which considers vertices and edges as objects in a metric space and quantifies the corresponding spatial distribution and alignment. For this purpose, we introduce the concept of edge anisotropy and define a class of measures characterizing the spatial directedness of connections. Specifically, we demonstrate that the local anisotropy of edges incident to a given vertex provides useful information about the local geometry of geophysical flows based on networks constructed from spatio-temporal data, which is complementary to topological characteristics of the same flow networks. Taken both structural and geometric viewpoints together can thus assist the identification of underlying flow structures from observations of scalar variables.
Research news | 2017-06-22
Fisheries in least developed countries among world’s most vulnerable to climate change
Research news | 2017-06-21
Placed-based sustainability efforts often fail to recognise the risk of piling up the environmental pressure elsewhere
Research news | 2017-06-15
How an ongoing project aims to develop positive visions of the Anthropocene for southern Africa and beyond
General news | 2017-06-13
Centre director selected from a global short-list of remarkable candidates demonstrating "extraordinary leadership in mid-career"
Research news | 2017-06-12
New study explores how information and collaboration influence governance networks, and highlights trade-offs and benefits of using adaptive policies
Educational news | 2017-06-12
We seek change makers for LEAP - a new leadership programme on human and planetary opportunities