We are working to adapt classical spatial interaction modelling approaches to incorporate energy, entropy-maximising and density, in order to providing us with the key to link this kind of social physics to urban and network morphologies. This research builds on our work with the Tyndall Consortium and it will be contrasted with models being built by other groups for Shanghai and Phoenix.
- Transfer entropy as a measure of the effect of scale on the analysis of settlement patterns and migration
- Shannon entropy and free energy as a measure of variety and surplus under monopolistic competition in urban areas. Land rent as a parameter of spatial interaction and agglomeration
- Local Information transfer measures to profile the dynamic information structures embedded in the Oyster card big data set
- Complexity paradigms as a framework for urban analysis
Cities are multidimensional non-linear phenomena, so it is fundamental to understand the causal relationships or effective connectivity between different scales in determining how local/regional urban policies are affecting the distribution of urban settlements over large areas. We use entropy-based methodologies to model various aspects of urban complexity, in particular settlement patterns and morphology, and population migration and growth. This research engages with concepts such as urban fractality, complexity, information, emergence and self-organisation. Preliminary results show how different policies could affect the final urban morphology in terms of the information generated across geographical scales.