On the Implications of a Stationary Urban Population For the Size Distribution of Cities

The paper analyzes the limiting case for a modified Yule-Simon model of city growth. The aim of the paper is primarily to reintroduce geographers to the notion of a closed system of cities, i.e., a system of cities where the aggregate population is stationary in size. The Yule-Simon model, while successful in dealing with the observed properties of open systems, is seen to break down for closed systems. Moreover, incorporating Simon's assumptions regarding intercity migration into the model produces implausible results. Also, the traditional approach of employing entropy-maximizing procedures assumes a certain pattern of intercity migration. This pattern, while not inherently implausible, does present features which are questionable. The authors conclude that an adequate theory for closed systems has yet to be developed.     

FRAGMENTATION ANALYSIS OF ANIMAL BONE SAMPLES FROM ARCHAEOLOGICAL SITES

Frequency distributions of the lengths of the bone fragments are plotted for a number of archaeological sites. Down to a certain critical length, the distributions prove to be very similar for all the sites. Below this length, failure to recover fragments during excavation becomes the predominant factor and the frequencies decline. Distributions of diagnostic bones of sheep/goat, pig and cattle are plotted separately and the preferential recovery of the bones of larger animals is demonstrated. A method is suggested for using data from water-sieved sites to estimate and correct the effect of this preferential recovery on the figures for the relative proportions of different species at unsieved sites.