1971
DOI: 10.1068/a030083
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Statistical Urban Models

Abstract: The aim of this paper is to analyze some urban models from the viewpoint of statistical theory. The derivations of the gravity model, Clark's formula etc. are given and methods for testing the models are discussed in some detail. Some empirical results are shown, based on data mainly from Stockholm, and some problems concerning computer algorithms are treated in that context.

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Cited by 18 publications
(4 citation statements)
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“…Thus, in this article we delineate FUAs which represent a set of self-contained, cohesive and spatially continuous markets that consist of suppliers and buyers, or recipients, of goods and services, for example, the housing, job, transport or public services markets (see Bertaud, 2018;Martinez-Bernabeu et al, 2012). The emphasis on self-containment and spatial continuity can be operationalized by the gravity model mentioned in the previous section and also studied in Moreno-Monroy et al (2021), Wilson (2011 and Karlqvist and Marksjö (1971). In simple terms, a boundary exists beyond which the market or functional cohesion fades and places beyond that boundary can no longer be considered parts of the metropolitan area.…”
Section: Methodological Approachmentioning
confidence: 99%
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“…Thus, in this article we delineate FUAs which represent a set of self-contained, cohesive and spatially continuous markets that consist of suppliers and buyers, or recipients, of goods and services, for example, the housing, job, transport or public services markets (see Bertaud, 2018;Martinez-Bernabeu et al, 2012). The emphasis on self-containment and spatial continuity can be operationalized by the gravity model mentioned in the previous section and also studied in Moreno-Monroy et al (2021), Wilson (2011 and Karlqvist and Marksjö (1971). In simple terms, a boundary exists beyond which the market or functional cohesion fades and places beyond that boundary can no longer be considered parts of the metropolitan area.…”
Section: Methodological Approachmentioning
confidence: 99%
“…According to the gravity model (Wilson, 2011;Karlqvist & Marksjö, 1971), core cities have stronger ties with nearby communes 1 or areas than those that are located at greater distances. Therefore, we hypothesize that a determinate boundary (distance, area, zone) exists within which the functional connections of the core city with nearby communes are significantly stronger than with other, more distant, areas, forming an agglomeration or metropolitan zone.…”
Section: Introductionmentioning
confidence: 99%
“…Accessibility refers to the ease of getting from one location to another and is often used to describe how human activities can maximise access using minimal activity and is an important basis when public facilities are built and planned [27]. Many factors in the city affect the accessibility of travelling for people with disabilities, and the higher the frequency of travelling, the higher the demand for this factor by people with disabilities, and the more important it is in the evaluation system.…”
Section: Travel Behaviours Exhibited By Individuals With Disabilitiesmentioning
confidence: 99%
“…A Newton-Raphson procedure may also be used (Karlqvist and Marksjo, 1971). If the expected changes in energy use are large it could have an impact on total cost C, and hence it may be necessary to estimate a new value of j3 via insertion of the expected value of C in equation (4).…”
Section: Information Theorymentioning
confidence: 99%