An illusion of spatial hierarchy: Spatial hierarchy in a random configuration

Environment and Planning A

Volumn 28, Issue 9, 1996, Pages 1533-1552

  Okabe, A ^a   Sadahiro, Y ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

RANDOM CONFIGURATION; SPATIAL ANALYSIS; SPATIAL HIERARCHY; THEORETICAL STUDY;

EID: 0030425083     PISSN: 0308518X     EISSN: None     Source Type: Journal    
DOI: 10.1068/a281533     Document Type: Article

References (16)

1. Boots B, 1985, "Comment on cardinal place geometry" Geographical Analysis 17 339-341
2. Brakke K A, 1986, "Plane Voronoi tessellation second order statistics" Abstracts of the American Mathematical Society 7 235-236
3. Christaller W, 1933 Die Zentralen Orte in Süddeutschland (Fisher, Jena)
4. Diggle P R, 1983 Spatial Analysis of Spatial Point Patterns (Academic Press, London)
5. Elliot H M, 1985, "Cardinal place geometry" Geographical Analysis 17 16-35
6. Graustein W C, 1932, "On the average number of sides of polygons of a net" Annals of Mathematics 32 149-153
7. Lösch A, 1940 Die Räumliche Ordnung der Wirkschaft (Fisher, Jena)
8. d" Advances in Applied Probability 21 37-73
9. Okabe A, Boots B, Sugihara K, 1992 Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (John Wiley, Chichester, Sussex)
10. Sadahiro Y, Okabe A, 1994, "Method for describing spatial hierarchical structure of facilities" Geographical Review of Japan 67 225-235 (in Japanese)
11. Skinner G W, 1964, "Marketing and social structure in rural China" Journal of Asian Studies 24 3-44
12. Smith C S, 1952, "Grain shapes and other metallurgical applications of topology", in Metal Interfaces technical report, American Society for Metals, Cleveland, OH, pp 65-113
13. Stoyan D, Kendall W S, Mecke J, 1987 Stochastic Geometry and its Applications (John Wiley, Chichester, Sussex)
14. Sugiura Y, 1991, "A map-transformation approach to the location of central places: the case of the central Kanto region in preindustrial Japan" Environment and Planning A 23 969-985
15. Sugihara K, Iri M, 1989, "VORONOI2 reference manual - topology-oriented version of the incremental method for constructing Voronoi diagrams", RMI-89-04, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, Tokyo
16. Woldenburg M J, 1970, "The hexagon as a spatial average" Harvard Papers in Theoretical Geography technical report, number 42