European Regional Science Association
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European Regional Science Association
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The abstract for paper number 524:
Michael Sonis, Bar-Ilan University, , Israel
Critical analysis and reassessment of the methodology of the Central Place Theory
This paper deals with the critical reevaluation of the methodology of classical Christaller- Central Place Theory. First of all the reconstruction of Central Places Geometry on the basis of the Barycentric Calculus was considered. On this basis the novel superpositional model of the actual Central place System is considered. Building blocks of this model are the Beckman-McPherson models representing the main tendencies of optimal organizations of space acting simultaneously in the actual Central Place system. The weights of these building blocks represent the level of realization of the specific extreme tendency in the real system. Next the (jumping) catastrophic dynamics of the Central place hierarchies presented with the help of geometrical scheme of the movement of the point representing actual Central place system in the polyhedron of all admissible Central Place systems. Two main applications of the new conceptual framework are elaborated in detail: 1. The enumeration of all structurally stable optimal (minimal cost) transportation flows in the hierarchical Central place systems and 2. The merger of two central theories in the Regional Science: the classical Input-Output theory of Leontief and the classical Christaller- Central place theory.
KEYWORDS: Central Place theory, Barycentric Calculus, Superposition of Hierarchical Central Place Models; Transportation Flows in Central Place models; Central place Input-Output Analysis.
Unfortunately full paper has not been submitted.