Zipf's Law for cities: estimation of regression function parameters based on the weight of American urban areas and Polish towns

Sokołowski Dariusz () and Jażdżewska Iwona ()
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Sokołowski Dariusz: Nicolaus Copernicus University in Toruń, Faculty of Earth Sciences and Spatial Managment, Department of Spatial Management and Tourism, Lwowska 1, 87-100Toruń, Poland
Jażdżewska Iwona: University of Łódź, Faculty of Geographical Sciences, Institute of Urban Geography, Tourism and Geoinformation, Kopcinskiego 31, 90-142, Łódź, Poland

Bulletin of Geography. Socio-economic Series, 2021, vol. 53, issue 53, 147-156

Abstract: The paper aims at presentation of a methodology where the classical linear regression model is modified to guarantee more realistic estimations and lower parameter oscillations for a specific urban system. That can be achieved by means of the weighted regression model which is based on weights ascribed to individual cities. The major shortcoming of the methods used so far – especially the classical simple linear regression – is the treatment of individual cities as points carrying the same weight, in consequence of which the linear regression poorly matches the empirical distribution of cities. The aim is reached in a several-stage process: demonstration of the drawbacks of the linear parameter estimation methods traditionally used for the purposes of urban system analyses; introduction of the weighted regression which to a large extent diminishes specific drawbacks; and empirical verification of the method with the use of the input data for the USA and Poland

Keywords: city size distribution; weight of cities; Zipf's Law; rank-size rule; weighted regression; USA; Poland (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:buogeo:v:53:y:2021:i:53:p:147-156:n:9

DOI: 10.2478/bog-2021-0028

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