Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
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 (Herausgeber:in) / Hsu, Wen-Tai (Autor:in) / Zou, Xin (Autor:in)
24.03.2019
21 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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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