Spatiotemporal analysis of the distribution of urban facilities in terms of accessibility
Yukio Sadahiro
Department of Urban Engineering, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan (e-mail: [email protected])
Search for more papers by this authorYukio Sadahiro
Department of Urban Engineering, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan (e-mail: [email protected])
Search for more papers by this authorAbstract
Abstract. This article develops a method for analysing the distribution of urban facilities in terms of accessibility. The method treats facility accessibility in the spatiotemporal dimension, as it depends on both spatial and temporal factors, that is, the location and opening hours of facilities. The distribution of facility accessibility is evaluated by several measures indicating the extent of concentration with respect to accessibility in the spatiotemporal dimension. The measures are standardised and evaluated in a statistical framework by means of comparison with spatial, temporal and spatiotemporal random distributions of facility accessibility. The method is applied to analysis of the spatiotemporal distribution of coffee shops in Tokyo, Japan. The results revealed interesting patterns, which are helpful for analysis of marketing strategies of coffee shop chains.
References
- Aronov B, Sharir M, Tagansky B (1997) The union of convex polyhedra in three dimensions. SIAM Journal on Computing 26: 1670–1688
- Bailey TC, Gatrell AC (1995) Interactive spatial data analysis. Prentice-Hall, Harlow
- Bajaj C, Dey TK (1992) Convex decomposition of polyhedra and robustness. SIAM Journal on Computing 21: 339–364
- Ben-Akiva M, Lerman SR (1979) Disaggregate travel and mobility choice models and measures of accessibility. In: Hensher D, Stopher P (eds) Behavioral travel modeling. Croom Helm, London: 654–679
- Cliff AD, Ord JD (1973) Spatial autocorrelation. Pion, London
- Cohen J, Hickey T (1979) Two algorithms for determining the volume of convex polyhedra. Journal of the ACM 26: 401–414
- Franklin WR (1982) Efficient polyhedron intersection and union. Proceedings of Graphics Interface, 73–80
- Getis A, Getis JM (1968) Retail store spatial affinities. Urban Studies 5: 317–332
-
Glaz J,
Naus JI,
Wallenstein S (2001) Scan statistics. Springer, Berlin
10.1007/978-1-4757-3460-7 Google Scholar
- Goldman RN (1991) Area of planar polygons and volume of polyhedra. In: James A (ed) The graphics gems series II. Academic Press, New York: 170–171
- Handy SL, Niemeier DA (1997) Measuring accessibility: An exploration of issues and alternatives. Environment and Planning A 29: 1175–1194
- Hanson S, Schwab M (1987) Accessibility and intraurban travel. Environment and Planning A 19: 735–748
- Hayashihara Y (1998) Sales forecasting and location strategy. Shogyokai, Tokyo (in Japanese)
- Hirashita O (2002) GIS marketing. Nikkei Business Publications, Tokyo (in Japanese)
- Ichihara M (1995) Market area and sales forecasting. Doyukan, Tokyo (in Japanese)
-
Jacquez G (1996) A k-nearest test for space-time interaction.
Statistics in Medicine
15: 1935–1949
10.1002/(SICI)1097-0258(19960930)15:18<1935::AID-SIM406>3.0.CO;2-I CAS PubMed Web of Science® Google Scholar
- Knox EG (1964) The detection of space-time interaction. Applied Statistics 13: 25–29
- Kobayashi R (2000) Area marketing. Hyogensha, Tokyo (in Japanese)
- Kwan MP (1998) Space-time and integral measures of individual accessibility: A comparative analysis using point-based framework. Geographical Analysis 30: 191–216
- Lawson AB (2001) Statistical methods in spatial epidemiology. John Wiley & Sons, London
- Lee Y (1972) An analysis of spatial mobility of urban activities in downtown Denver. Annals of Regional Science 6: 95–108
- Lee Y, Koutsopoulos K (1976) A locational analysis of convenience food stores in metropolitan Denver. Annals of Regional Science 10: 104–117
- Lee Y (1979) A nearest-neighbor spatial-association measure for the analysis of firm interdependence. Environment and Planning A 11: 169–176
- Mantel N (1967) The detection of disease clustering and a generalized regression approach. Cancer Research 27: 209–220
- Okabe A, Miki F (1984) A conditional nearest-neighbor spatial-association measure for the analysis of conditional locational interdependence. Environment and Planning A 16: 163–171
- Okabe A, Sadahiro Y (1994) A statistical method for analyzing the spatial relationship between the distribution of activity points and the distribution of activity continuously distributed over a region. Geographical Analysis 26: 152–167
- Okabe A, Yamada I (2001) The K-function method on a network and its computational implementation. Geographical Analysis 33: 271–290
- Okabe A, Yoshikawa T (1989) The multi nearest neighbor distance method for analyzing the compound effect of infrastructural elements on the distribution of activity points. Geographical Analysis 21: 216–235
- Okabe A, Yomono H, Kitamura M (1995) Statistical analysis of the distribution of points on a network. Geographical Analysis 27: 152–175
- Okabe A, Kitamura M (1996) A computational method for market area analysis on a network. Geographical Analysis 28: 330–349
- Okunuki K, Okabe A (2002) Solving the Huff-based competitive location model on a network with link-based demand. Annals of Operations Research 111: 239–252
- Rogers A (1965) A stochastic analysis of the spatial clustering of retail establishments. Journal of the American Statistical Association 60: 1094–1103
- Rogers A (1969) Quadrat analysis of urban dispersion 2: Case studies of urban retail systems. Environment and Planning A 1: 155–171
- Rogers A, Martin J (1971) Quadrat analysis of urban dispersion 3: Bivariate models. Environment and Planning A 3: 433–450
- Rogers A, Raquillet R (1972) Quadrat analysis of urban dispersion 4: Spatial sampling. Environment and Planning A 4: 331–345
-
Sadahiro Y (1999) Statistical methods for analyzing the distribution of spatial objects in relation to a surface.
Journal of Geographical Systems
1: 107–136
10.1007/s101090050008 Google Scholar
- Smith J (1985) Pedestrianisation in Scotland. The Planner 71: 12–16