Harris and Wilson (1978) Model Revisited: The Spatial Period-doubling Cascade in an Urban Retail Model

Takashi Akamatsu, Minoru Osawa and Yuki Takayama ()

MPRA Paper from University Library of Munich, Germany

Abstract: Harris and Wilson (1978)’s retail location model is one of the pioneering works in regional sciences on the combination of the “fast” and “slow” dynamic describing spatial pattern formation processes in the economic landscape, which is a current well-established modeling technique. Although proposed some time ago, the comparative static (bifurcation) properties of the model have not yet been sufficiently explored. We employ a simple analytical approach developed by Akamatsu et al. (2012) to reveal previously unknown bifurcation properties of the model in a space with a large number of locations. It is analytically shown that the evolutionary path of spatial structure exhibits a remarkable property, namely “spatial period- doubling cascade,” which we cannot observe in the popular two-location setup. We also discuss strong linkages between the model and the models of “new economic geography” regarding the modeling strategies and their bifurcation properties.

Keywords: agglomeration; multiple agglomerations; stability; bifurcation; new economic geography model (search for similar items in EconPapers)
JEL-codes: C62 F12 F15 R12 R13 (search for similar items in EconPapers)
Date: 2015-11-19
New Economics Papers: this item is included in nep-geo and nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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https://mpra.ub.uni-muenchen.de/67974/1/MPRA_paper_67974.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/70969/8/MPRA_paper_70969.pdf revised version (application/pdf)

Related works:
Journal Article: HARRIS AND WILSON (1978) MODEL REVISITED: THE SPATIAL PERIOD‐DOUBLING CASCADE IN AN URBAN RETAIL MODEL (2017)
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