The Yule-Simon Model in its Limiting Case as a Pure Migration Process

Bibliographic Data

ID4139900
AuthorsDaniel R Vining (University City Science Center, corresponding author)
Year1984
Volume16
Issue10
Pages1269-1278
Publication date1984-10-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a161269
PMID12266535
OpenAlexW2057393628
LanguageEN
Citations received1
References cited12

In this paper the author offers an analytical solution to a problem first raised in 1973, namely, what is the equilibrium distribution of city sizes implied by the Yule-Simon model, when the total population of the urban system in question is stationary? Under the assumption that in-migration and out-migration rates are uncorrelated with city sizes, it is shown that Fisher's log-series distribution is that distribution. Fisher's log-series distribution yields a much less concentrated size distribution than does the Yule distribution, which is the equilibrium distribution associated with a pure growth process. Thus, we might expect a lower level of concentration or city size inequality when the overall urban system is stationary than when it is growing

Asymptotic distribution · Econometrics · Economics · Limiting · Log-normal distribution · Markov chain · Mathematical analysis · Mathematical economics · Physics · Population · Sociology · Stationary distribution · Statistical physics · Statistics · Uncorrelated · Complex Systems and Time Series Analysis · Demography · Economic theories and models · Engineering · Mathematics · Regional Economics and Spatial Analysis · Applied Mathematics · Geology

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