Dresden 2006 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)

AKSOE 10.34: Poster

Wednesday, March 29, 2006, 16:00–18:00, P2

Phase Transition in Density between Urban and Rural Areas, Commuting and Perubanization — •Yuri Yegorov — Institute for Advanced Studies, Stumpergasse 56, A-1060, Vienna, Austria, yegorov@ihs.ac.at

Mathematical model is proposed to explain the emergence of spatial pattern with heterogeneous density and phase transition between urban and rural areas. There are three types of agents: workers who live in a city, farmers who live in a rural area and workers-commuters from rural area to city. In equilibrium they are indifferent between occupation and residence. Indifference across locations for a priori identical agents implies the shape of land rent. The model is in continuous two-dimensional space. There is phase transition between urban and rural population densities due to the difference in land-use intensity for industrial and agricultural technologies. The whole spatial pattern changes as the reaction to change in different model parameters (transport cost, prices of output, population, etc.). Split of rural residents into commuters and farmers depends on road infrastructure development. Under certain conditions per urbanization occurs: farmers convert themselves into new ring of commuters beyond city border. Different bid rent shapes for farmers and commuters make their spatial coexistence problematic in equilibrium, while it can exist in the transition period.