The Negative Exponential Density Gradient and the Standard Radius
Mathematical and Empirical Relationships
Bibliographic Data
| ID | 4143157 |
|---|---|
| Authors | Donald M Manson (Urban Institute, corresponding author) |
| Year | 1981 |
| Volume | 13 |
| Issue | 9 |
| Pages | 1059-1065 |
| Publication date | 1981-09-01 |
| 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/a131059 |
| OpenAlex | W1964799113 |
| Language | EN |
| Citations received | 1 |
| References cited | 7 |
This paper demonstrates for urban areas a direct relationship between the summary measures of centrography and the slope parameter of the negative exponential density gradient model. Starting with some basic assumptions about the form of urban population distributions, a mathematical relationship between the methods is derived by applying the centrographic technique to an exponentially distributed urban population. By use of data from a diverse sample of cities that vary in population, region, area, and time of data collection, the relationship is tested empirically. The results of the empirical analysis are compared with the predictions of the derived relationship, and the causes of differences between them are discussed
Econometrics · Exponential family · Exponential function · Exponential growth · Mathematical analysis · Physics · Population · Population density · RADIUS · Sociology · Statistical physics · Statistics · Computer Science · Demography · Impact of Light on Environment and Health · Land Use and Ecosystem Services · Mathematics · Urban, Neighborhood, and Segregation Studies · Applied Mathematics
| Citations per year | 0.08 |
|---|---|
| Citation span | 2014 - 2014 (1) |
| Highly cited | No |