AN INDUSTRIAL AGGLOMERATION APPROACH TO CENTRAL PLACE AND CITY SIZE REGULARITIES*

ABSTRACT An empirical regularity designated as the Number‐Average Size (NAS) Rule was first identified for the case of Japan by Mori, Nishikimi, and Smith , and subsequently extended to the United States by Hsu . This rule asserts a negative log‐linear relation between the number and average population size of cities where a given industry is present. In this paper, we utilize the cluster‐identification methodology developed by Mori and Smith to sharpen this notion of “industrial presence” by focusing only on cities that constitute at least part of a significant spatial agglomeration for the given industry. Our key result is to show that the NAS rule continues to hold (even more strongly) under this sharper definition.     

A SPATIAL COMPETITION APPROACH TO CENTRAL PLACE THEORY: SOME BASIC PRINCIPLES*

ABSTRACT. This paper investigates the potential offered by the model of spatial competition for the study of central place theory. We consider n firms selling m substitutable or complementary goods to a continuum of consumers evenly distributed along a linear segment. Consumers have the same income and the same utility function which is quadratic in the goods supplied by the firms and linear in the numeraire. The main results are as follows. (1) In any location equilibrium in which all goods are consumed everywhere, each good supplied by a single firm is sold at the market center. In Christaller's terminology, this means that when the exhaustive principle holds in equilibrium, highest-order goods are made available at the center. (2) When all goods (excluding the numéraire) are complements to each other and each good is sold by a single firm, there always exists an equilibrium in which all the firms locate coincidentally. (3) If the stores selling a given good are under the control of a single owner then, in any equilibrium for which the exhaustive principle holds, the stores are located in a way such that the total transport cost (borne by consumers) is minimized.     

中心地体系中的分形和分维

中心地体系中蕴含着分形结构,具有多分维特征。本文借助koch雪花和随机Sierpinski图形揭示了中心地k=3体系和k=4体系的生成机制,提出了城乡聚落体系和城市-交通网络的两种分形模型,这些模型的分维与S.Arlinghaus的发现具有对应性。     

PLACE AND SPACE IN CONTEMPORARY EUROPE: SOME LESSONS AND REFLECTIONS*

The “localities debate,” stimulated by the Economic and Social Research Council's “Changing Urban and Regional Systems” initiative, was conducted in the pages of Antipode and Society and Space at a length that showed scant regard for emerging environmental sensitivities. Much of it involved politically contentious claims and increasingly exhausted theory; it resolved very little and in that sense was little more than a storm in a pretty familiar pudding basin. A later flirtation with postmodernism simply pushed aside questions of explanation while raising the political stakes as celebration of the differences between places became the order of the day. Nonetheless, important issues emerge from or relate to that debate, and we draw on our experiences to comment on three of them: (i) agents, structures, the production of space and the material bases of place: some issues of theory; (ii) the production of places, people's attachment to place, and place-based political strategies: some issues of practice; (iii) localities, postmodernism and the difference that place makes: is the regressive turn to postmodernism as approach avoidable?