The Dependence of Population Distribution on Location Costs
Bibliographic Data
| ID | 4139768 |
|---|---|
| Authors | J C Amson (The Mathematical Institute, The University of St. Andrews, St. Andrews, Scotland, corresponding author) |
| Year | 1972 |
| Volume | 4 |
| Issue | 2 |
| Pages | 163-181 |
| Publication date | 1972-06-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a040163 |
| OpenAlex | W1970356696 |
| Language | EN |
| Citations received | 16 |
| References cited | 13 |
Part of a household's constrained budget is assumed to be comprised of a general cost of location. By using a simple generalisation of Muth's economic theory of the spatial pattern of urban housing, the population density distribution in a plane city is shown to be dependent on the distribution of this generalised cost of location. If housing demand is elastic, then this dependence is shown to be exponential, a conclusion which agrees with a familiar result obtained by maximising the entropy of a population system subject to a cost constraint. If the housing demand is less or more elastic, then the dependence is binomial. Implications of the theory are discussed and illustrations given
Budget constraint · Econometrics · Economics · Exponential function · Geometry · Mathematical analysis · Microeconomics · Negative binomial distribution · Poisson distribution · Population · Statistics · Demography · Housing Market and Economics · Mathematics · Regional Economics and Spatial Analysis
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| Unique citing works | 16 |
|---|---|
| Citations per year | 0,3 |
| Citation span | 1972 - 2013 (42) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 16 |