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Zipf's Law for Cities and Beyond

The Case of Denmark

Bibliographic Data

ID2807175
AuthorsThorbjørn Knudsen (0000-0003-2798-7485, corresponding author)
Year2001
Volume60
Issue1
Pages123-146
Publication date2001-01-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueAmerican Journal of Economics and Sociology (JOURNAL)
Journal identifiersISSN: 0002-9246 • E-ISSN: 1536-7150
PublisherWiley (PUBLISHER • GB)
DOI10.1111/1536-7150.00057
OpenAlexW2111741070
LanguageEN
Citations received5
References cited7

Zipf's law for cities is one of the most conspicuous and robust empirical facts in the social sciences. It says that for most countries, the size distribution of cities must fit the power law: the number of cities with populations greater than S is inversely proportional to S. The present paper answers three questions related to Zipf's law: (1) does the Danish case refute Zipf's law for cities?, (2) what are the implications of Zipf's law for models of local growth?, and (3) do we have a Zipf's law for firms? Based on empirical data on the 61 largest Danish cities for year 2000, the answer to (1) is NO-the Danish case is not the exception which refutes Zipf's law. The consideration of (2) then leads to an empirical test of (3). The question of the existence of Zipf's law for firms is tested on a sample of 14,541 Danish production companies (the total population for 1997 with 10 employees or more). Based on the empirical evidence, the answer to (3) is YES in the sense that the growth pattern of Danish production companies follows a clean rank-size distribution consistent with Zipf's law

Danish · Distribution (mathematics) · Economic geography · Economics · Empirical research · Geography · Political science · Population · Sociology · Statistics · Zipf's law · Demography · Economic Policies and Impacts · Global trade and economics · Law · Mathematics · Regional Economics and Spatial Analysis

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Unique citing works5
Citations per year0,22
Citation span2003 - 2024 (22)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 5

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