Boltzmann, Lotka and Volterra and spatial structural evolution: an integrated methodology for some dynamical systems

Author:

Wilson Alan1

Affiliation:

1. Centre for Advanced Spatial Analysis, University College London1–19 Torrington Place, London WC1E 7HB, UK

Abstract

It is shown that Boltzmann's methods from statistical physics can be applied to a much wider range of systems, and in a variety of disciplines, than has been commonly recognized. A similar argument can be applied to the ecological models of Lotka and Volterra. Furthermore, it is shown that the two methodologies can be applied in combination to generate the Boltzmann, Lotka and Volterra (BLV) models. These techniques enable both spatial interaction and spatial structural evolution to be modelled, and it is argued that they potentially provide a much richer modelling methodology than that currently used in the analysis of ‘scale-free’ networks.

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

Reference32 articles.

1. Scale-free networks in cell biology

2. Evolutionary drive: new understandings of change in socio-economic systems;Allen P.M;Emerg. Complex. Org,2006

3. Emergence of Scaling in Random Networks

4. Baskaran T. & Bruck T. 2005 Scale-free networks in international trade. Discussion paper 493. Berlin Germany: DIW Berlin German Institute for Economic Research.

5. Batty M. 2006 Cities and complexity. Cambridge MA:MIT Press.

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