How to Eliminate Certain Defects of the Potential Formula
Bibliographic Data
| ID | 4143459 |
|---|---|
| Authors | Johannes Bröcker (0000-0003-1802-8303, Christian-Albrechts-Universität zu Kiel, corresponding author) |
| Year | 1989 |
| Volume | 21 |
| Issue | 6 |
| Pages | 817-830 |
| Publication date | 1989-06-01 |
| 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/a210817 |
| OpenAlex | W2057652997 |
| Language | EN |
| Citations received | 12 |
| References cited | 5 |
The potential formula, defined as a sum of regional 'masses' weighted by a decreasing function of distance, is a conventional indicator of accessibility in spatial econometrics. If applied to a system of discrete points in space, however, the standard potential formula with an exponential distance-friction does not convey the desired information in the case of sufficiently large distance-friction parameters. The reason for this defect is that the so-called eigenpotential is inappropriately defined by the standard formula. After reviewing the theoretical foundations of the potential index and advocating its derivation from stochastic choice theory, this paper proposes a modification of the potential formula. The basic idea is to handle the region to which the potential refers as a continuous space with equally distributed density of mass. This leads to an index with desirable limiting properties with respect to the distance-friction parameter
Exponential function · Limiting · Mathematical analysis · Physics · Statistical physics · Computer Science · Engineering · Mathematics · Regional Economics and Spatial Analysis · Spatial and Panel Data Analysis · Urban Transport and Accessibility · Applied Mathematics
Areas, nodes and networks
GIS and models of accessibility potential
The Geography of Chinese and Indian Greenfield Investments in Europe
The accessibility to employment offices in the Spanish labour market
Accessibility improvement, territorial cohesion and spillovers
An extended family of spatial interaction models
An Eclectic Methodology for Assessment of the Regional Economic Effects of the Femern Belt Link Between Scandinavia and Germany
Collaborative Knowledge Production in China
On the Economic Foundation of the Urban Network Paradigm
The Nonutilisation of Human Capital in Regional Labour Markets across Europe
The Accessibility of European Cities
Assessing Spatial Equity
| Unique citing works | 12 |
|---|---|
| Citations per year | 0,38 |
| Citation span | 1994 - 2013 (20) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 11 |