Journal of Mathematics and Statistics


G. Kumar and A. Subbarayan

DOI : 10.3844/jmssp.2014.221.230

Journal of Mathematics and Statistics

Volume 10, Issue 2

Pages 221-230


Systems with measurable entities are characterized by certain properties of their size distribution. City Size Distribution (CSD) and the underlying city size dynamics have received attention in the urban economic literature in recent years. In this approach we aim at evaluating the temporal dynamics of city size distribution in Andhra Pradesh, an Indian state for the period 1951-2001. The research framework-which is based on a function relating population size to rank-is used to test for the trends of deconcentration cities of population over the study period. The expansion methodology is used to investigate the dynamics of rank size function in temporal dimension. We have studied the threshold size and its influence on temporal trends. The size distribution of cities/towns from one period to another is modeled by way of a Markov Chain. Our findings reveal that all places in the urban system are growing with small towns growing at a faster rate during study period. The largest cities and the smallest towns display higher persistence than the medium sized cities.


© 2014 G. Kumar and A. Subbarayan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.