A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Central Place Theory and the Power Law for Cities
This chapter provides a review of the link between central place theory and the power laws for cities. A theory of city size distribution is proposed via a central place hierarchy a la Christaller (1933) either as an equilibrium results or an optimal allocation. Under a central place hierarchy, it is shown that a power law for cities emerges if the underlying heterogeneity in economies of scale across good is regularly varying. Furthermore, we show that an optimal allocation of cities conforms with a central place hierarchy if the underlying heterogeneity in economies of scale across good is a power function.
Central Place Theory and the Power Law for Cities
This chapter provides a review of the link between central place theory and the power laws for cities. A theory of city size distribution is proposed via a central place hierarchy a la Christaller (1933) either as an equilibrium results or an optimal allocation. Under a central place hierarchy, it is shown that a power law for cities emerges if the underlying heterogeneity in economies of scale across good is regularly varying. Furthermore, we show that an optimal allocation of cities conforms with a central place hierarchy if the underlying heterogeneity in economies of scale across good is a power function.
Central Place Theory and the Power Law for Cities
Modeling,Simulation in Science(Birkhäuser)
D'Acci, Luca (editor) / Hsu, Wen-Tai (author) / Zou, Xin (author)
2019-03-24
21 pages
Article/Chapter (Book)
Electronic Resource
English
Central place theory , Zipf’s law , City sizes , Dynamic programming , Optimal city hierarchy Mathematics , Mathematical Modeling and Industrial Mathematics , Complex Systems , Urban Geography / Urbanism (inc. megacities, cities, towns) , Statistical Physics and Dynamical Systems , Mathematics and Statistics
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