The nonproportional model of change as applied by Kasarda (1974) to explain the administrative intensity of societies is examined. In applying this theory to nations, we argue that the relationship between system size and administrative intensity should be much stronger in developed nations than in developing nations. Results from sample.~ of both types of nations support this prediction. In addition, we consider Kasarda's operationalization of the nonproportional model of change and propose a modification, suggesting that growth should be incorporated into the analysis. Comparing cross-sectional estimates against longitudinal evidence, we find among developed nations a strong systematic relationship between system growth and changes in administrative intensity and little evidence of the hypothesized relationship between system size and changes in administrative intensity. We interpret these findings as providing mixed support for the nonproportional model of growth.The study of the structural implications of system size is overwhelmingly focused on the formal organizational setting. In a recent bibliography on system size, only one of the eighty listed publications dealt with nations (Kimberly, 1976). This is surprising, given the assumption basic to the classical work of Spencer ( 1877), Durkheim ( 1933), Maine ( 1888), and Tonnies ( 1957) that the size of a nation influences its social structure. Since Kasarda's (1974) article is the first piece of research to examine the effect of system size on the internal structure of nations, the implications of his theoretical model and tests of the exploratory hypotheses must be examined carefully.Building upon Kasarda's effort, the major purpose of this paper is to sharpen the scope and to increase the logical consistency of the nonproportional model of change. To do this, we reexamine the theory of nonproportional change and extract propositions relating system size and growth to patterns of structure. Second, we specify the conditions which must be met in nations if the theory is expected to operate. Finally, data representing developed and developing nations are analyzed in order to determine the explanatory power of the nonproportional model of change.
Theoretical FrameworkThe nonproportional model of change. Kasarda's important contribution placed the structural implications of system size within the nonproportional growth 01982 by The Sociological Quarterly. All rights reserved. oo38-0253/82/16oo-oo67500.75