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 i...

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Bibliographic Details
Main Authors: HSU, Wen-Tai, ZOU XIN
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2019
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Online Access:https://ink.library.smu.edu.sg/soe_research/2281
https://ink.library.smu.edu.sg/context/soe_research/article/3280/viewcontent/Hsu_Zou2019_Chapter_CentralPlaceTheoryAndThePowerL.pdf
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Institution: Singapore Management University
Language: English
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Summary: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.