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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 10.44: Poster

Mittwoch, 29. März 2006, 16:00–18:00, P2

A dynamic model for city size distribution — •Lucien Benguigui¹ and Efrat Blumentfeld-Lieberthal² — ¹Solid State Institufe, IIT- Technion 32000 Haifa Israel — ²Faculty of Architecture and Town Planning IIT-Technion 32000 Haifa Israel

We present a model of urban evolution, which yields all kinds of City Size Distributions (CSD). In order to describe the Zipf’s law as well as cases that are represented by downward curves on a logarithmic plot, a new positive exponent alpha is introduced. This exponent corresponds to Zipf’s law only when it is equal to 1. The model is based on a random growth of the city population and on the variation of the number of cities in the system. The results of the model are surprising as they indicate a chaotic behavior of the model which is only statistically deterministic. We found that both the rate of the growth of new cities and the number of steps affect the final result of the model. The values of exponent alpha include all possible cases in reality, i.e. it may be larger, smaller or equal to 1.