Abstract
Central place analysis has been predicated to a considerable extent upon the general existence of a continuous geometric scale of size of central place, in accordance with the rank-size rule on the one hand, yet divided into discrete size classes on the other. Furthermore, cities within such size groups are believed to be functionally differentiated. Based upon a number of empirical tests in the State of Georgia, both in complete detail for a six-county area centering on the City of Athens and in less detail using secondary state-wide data, evidence is here presented showing that sizes of place do not conform closely to the rank-size rule, although they do reflect closely their own logarithmic regression curve; that there is little evidence of discrete size groupings; and that intensity of service by type of activity varies significantly with size of place. Furthermore, it is shown that the formula N = aPb, indicating the rate of change of number of establishments with change in size of place, does not provide an acceptable estimator throughout the whole range of size of place.
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