Kim Y-S, 1982, "Simon's steady state assumption: a critique of Okabe's critique" Environment and Planning A 14(8) 1113 – 1120
Download citation data in RIS format
Simon's steady state assumption: a critique of Okabe's critique
Received 2 October 1980, in revised form 25 September 1981
Abstract. Simon's model of city-size distributions has been a classical way of explaining the rank - size rule. But the steady state condition he uses to solve his model was shown by Okabe to be mathematically inconsistent with the basic postulates of the model. Okabe is correct as long as the difference between individual city size and total population is small. But when t (total number of population units) is only moderately larger than i (individual city size), as it always would be in actual applications of this model, Simon's steady state assumption is found to be very reasonable. Thus, users of the Simon model need not concern themselves with the fine points and complexities of Okabe's exposition since Simon's steady state assumption holds for any value of t that might be empirically observed.
Full-text PDF size: 522 Kb
Your computer (IP address: 220.127.116.11) has not been recognised as being on a network authorised to view the full text or references of this article. This content is part of our deep back archive. If you are a member of a university library that has a subscription to the journal, please contact your serials librarian (subscriptions information).