Unpacking Central Place Geometry I: Single Level Theoretical k Systems

Abstract

This paper examines the spatial and potential economic consequences of relaxing the geometrical packing requirement of classical central place theory. Diagrams are used to demonstrate that geometric packing is not necessary to satisfy demand at all discrete points at a given hierarchical level. With unpacked landscapes the same population can be served from fewer, more widely spaced, central places without increasing the length of journey to shop. Consumers have fewer choices in an unpacked landscape, but economies of scale may increase the array of consumer goods and services available.Relaxing the packing requirement allows the development of a range of stable k systems (i.e., further market entry is disallowed). Between the limits of the k = 3 system (Christaller's marketing principle) and the k = 7 system (the sociopolitical or administrative principle), a range of unpacked k systems can develop including a k = 5 and a k = 6 system. Noninteger k systems are also possible as are systems which are stable mixtures of coexisting k principles. In certain instances, it is economically advantageous for two or more entrepreneurs to co‐locate in the same central place rather than attempting monopolistic control over a more limited hinterland. Such a result is consistent with both Berry and Garrison's concept of the duplication ratio and with recent trends in retail location.