I realized this would probably be a decent place to describe some of the work I've been doing and hopefully get some feedback. I've been working at the intersection of spatial information and network information, trying to develop ways of integrating the two types of information. This is not the "
spatial networks" that are used to analyze space syntax and transportation networks. Instead, I'm interested in looking at arbitrary networks of things where some of the things are labeled with spatial location information.
So far I've analyzed drug seizure networks, shipping networks, organizational network of terrorist groups, epidemiological networks and simulated social networks. Most of this analysis has been to test new methodologies I've developed. There are two main techniques I've been working on, manipulating network scale and aggregation and visualizing spatial dependencies in network topology.
There is a fundamental discord between network and space. Space is continuous; relationships in networks are defined as between discrete entities. This means that some level of aggregation of space (implicit or explicit) us required in order to do a meaningful analysis of the network. Different levels of aggregation can lead do quite different networks. I've been working on methods of capturing the tradeoffs of aggregation versus precision.
Second, visualization of social networks has been important historically in providing the intuition for many commonly used network statistics. My hope is that the visualization of spatially embedded network data will be similarly useful. However, simple visualizations of spatially embedded networks quickly become noisy and difficult to interpret. For this reason, I'm developing techniques for visualizing higher-level network topological properties and their interaction with spatial location. I am also working to develop a statistical measure of the spatial dependencies in structural properties of a spatially embedded network.
All of these techniques and more have been implemented in the Geospatial Network Visualizer in the
ORA dynamic network analysis tool.