Phase 2: Theme C - Innovations in complex social networks: Project C009|
Tools for numerical modelling of spatial diffusion
SUPERVISOR: - Steele
James Steele (AHRC CECD, Institute of Archaeology, University College London)
Anne Kandler (AHRC CECD, Institute of Archaeology, University College London)
The spatial diffusion variously of genes, of populations, and of cultural innovations has been studied as a reaction-diffusion system, using continuum models. In the standard formulation, such a system can give rise to travelling wave phenomena; but the stability of these travelling wave solutions depends on assumptions made about the pattern of diffusivity. We shall examine the behaviour of such systems with alternative formulations of the diffusion term, and with spatio-temporal heterogeneity in the conditions affecting wave propagation.
FINAL PROJECT REPORT:
Anne Kandler and I have continued to make progress, independently and jointly, on a range of methods and case studies that will form the backbone of the monograph. Most notably, the main part of the software package CULTDIFF that will be included with the book has been written and debugged, and was successfully used (and fully documented) for our September 2010 CECD Summer School on 'Modelling of spatial diffusion and dispersal processes in social science'.
From January 2011 Anne will be based at Santa Fe Institute, New Mexico. The travel budget that comes with her postdoc at the SFI is unfortunately very modest. A CECD budget to enable her to return to London for a extended period in the first half of 2011 to work with J. Steele and Roman Unger on writing the monograph is part of the justificaton for the Centre's six-month extension period request.
Production of this monograph will meet our Strategic Plan commitment (Section 4.2, 'Dissemination and Outreach') to write a multi-author textbook treatment of method, theory, and indicative applications.