The Statistical Analysis of a Distribution of Activity Points in Relation to Surface-Like Elements
Bibliographic Data
| ID | 4141273 |
|---|---|
| Authors | Atsuyuki Okabe (0000-0003-4663-8053, The University of Tokyo), Tohru Yoshikawa (0009-0006-9303-1659, The University of Tokyo), Akira Fujii (0000-0003-4835-7722, Tokyo University of Science), Kentarou OIKAWA (Tokyo University of Science) |
| Year | 1988 |
| Volume | 20 |
| Issue | 5 |
| Pages | 609-620 |
| Publication date | 1988-05-01 |
| 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/a200609 |
| OpenAlex | W1995202710 |
| Language | EN |
| References cited | 11 |
The objective of this paper is to formulate a statistical method of testing the hypothesis that the distribution of activity points (such as retail stores) is independent of location of 'surface-like' infrastructural elements (such as parks). In order to do this, first, the probability density function of a distance from a random point to the nearest surface-like element is derived. Second, through the use of this function, a measure, R, of spatial dependency on the surface-like elements is defined as the ratio of the average nearest-neighbor distance to the expected average nearest-neighbor distance. This measure is an extension of the ordinary nearest-neighbor distance measure frequently referred to in geography and ecology. Third, the statistical use of measure R is shown. Fourth, as this measure is difficult to compute geometrically, the computational method of calculating the value of R is developed. Last, by use of this method, a test is conducted to decide whether or not the distribution of high-class apartment buildings in Setagaya, Tokyo, is affected by the location of big parks
Data mining · Geometry · k-nearest neighbors algorithm · Mathematical analysis · Statistical physics · Statistics · 3D Modeling in Geospatial Applications · Computational Geometry and Mesh Generation · Computer Science · Mathematics · Remote Sensing and LiDAR Applications · Artificial Intelligence
Distance to Nearest Neighbor as a Measure of Spatial Relationships in Populations
Locational analysis in human geography
The Statistical Analysis through a Computational Method of a Distribution of Points in Relation to its Surrounding Network
A Nearest-Neighbor Spatial-Association Measure for the Analysis of Firm Interdependence
A Conditional Nearest-Neighbor Spatial-Association Measure for the Analysis of Conditional Locational Interdependence
| Citation velocity | historical |
|---|---|
| Highly cited | No |