A Hierarchical Migration Model of Population Redistribution within a Central Place Hierarchy

A simple hierarchical migration model is proposed as a mechanism for the redistribution of population within a Christaller central place hierarchy. Given a predefined functional hierarchy, the migration process causes any initial population distribution to converge to an equilibrium distribution. Under certain special conditions, the equilibrium is identical to a central place population distribution derived from economic base concepts.     

Dynamic Central Place Theory: Results of a Simulation Approach

A dynamic central place theory is formulated as a simulation model in which retail activities, described by cost equations, and consumers, described by spatial interaction equations, interact to generate a central place system. The behavior of the model is then examined. Simulation results show that the basic character of the system—whether it is agglomerated or dispersed—depends primarily on a single parameter in the interaction equation, and only secondarily on the specification of the cost function. The results are highly robust in that they are largely independent of the initial sizes and locations of centers, and even independent of the type of interaction equation used. The patterns generated appear plausible.     

A Location-Allocation Model of Lösch's Central Place Theory: Testing on a Uniform Lattice Network

This paper develops a location-allocation model of Lösch's central place theory that maximizes the number of firms that can coexist in the market, subject to range, threshold, hierarchy, and other constraints. F.o.b. costs, economies of scale, and elastic demand are included. Consumer behavior postulates concerning the “nearest center hypothesis” and the “indifference principle” are formulated as nonlinear constraints but not used during solution. Methods are developed for simulating the continuous, infinite plain with a discrete, bounded network by use of an outer overflow network and a symmetrical market area constraint. The model is tested by applying it to a uniform lattice network and comparing the results to the expected pattern of nested hexagons. Solutions consistent with the k = 3, 4, and 7 patterns are generated by changing threshold values. However, remaining inconsistencies appear to be due to the inability to express the consumer behavior laws as linear constraints, to the bounded and discrete nature of the network, and to the objective function being the sum of integer variables. The long-run purpose of developing and validating a location-allocation model of a location theory is to use it to relax the theory's restrictive assumptions and to apply the theory to nonuniform regions.     

Place Out of Place: a Pohnpeian Chiefdom in Kansas City

This article describes the formation of the Kansas City area as a section in the Pohnpeian sociopolitical system. Pohnpeian chiefdoms are traditionally marked out as ‘sections’ of land on the island of Pohnpei. Pohnpeians’ connection to their land is powerful and imbued with meaning but the Compact of Free Association propels Pohnpeian out‐migration to the United States. As the immigrant population of Pohnpeians in Kansas City increased, a paramount (tribal district) chief organized the ‘Section Over Heaven of Kansas City’ at the urging of collaborating Pohnpeian Kansas City residents. As the only fully functioning section outside of Pohnpei, the Kansas City section chief assigns chiefly titles, conducts tribute feasts, and incorporates the location into the Pohnpeian sociopolitical system. By integrating people and environment in meaningful ways, the Kansas City section creates a Pohnpeian place, separated from Pohnpeian land, integrated into Pohnpeian chieftainship. Pohnpeians in the United States refer to Kansas City as a Pohnpeian place in part on the basis of the paramount chief's organization of the Kansas City section.