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AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme

AGSOE 8: Traffic Dynamics, Urban and Regional Systems II

AGSOE 8.6: Vortrag

Dienstag, 24. März 2009, 12:30–12:45, BAR 205

Potential and Spatial Evolution of Location Patterns — •Yuri Yegorov — University of Vienna,, BWZ, Vienna, Austria

The spatial location of household and business represents a complex and evolving pattern that is driven by agglomeration and congestion forces. The origin of agglomeration forces is in scale economies, while congestion force is a cumulative negative externality. Since population and economy are growing, while technology is developing, the spatial structure is always evolving having only partial equilibrium at each time. The goal of this article is to develop a theory that can give some hint to equilibrium spatial structures and evolution of spatial patterns. The analysis starts from discrete case and then goes to continuous case. The analysis of interaction between two cities in discrete set up shows that market forces can either lead to dispersion or agglomeration, and polarized equilibrium is also possible. In the continuous static case the concept of potential of interaction between agent and CBD is introduced. Congestion function depends on population density. Interaction between these two forces can lead to heterogeneous spatial densities. Dynamics of spatial evolution depends of functional forms of potentials and can lead to different types of PDE equations of parabolic type.