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Application of the L-index to the Delineation of Market Areas of Retail Businesses
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 Title & Authors
Application of the L-index to the Delineation of Market Areas of Retail Businesses
Lee, Sang-Kyeong; Lee, Byoungkil;
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As delineating market areas of retail businesses has become an interesting topic in marketing field, Lee and Lee recently suggested a noteworthy method, which applied the hydrological analysis of geographical information system (GIS), based on Christaller`s central place theory. They used a digital elevation model (DEM) which inverted the kernel density of retail businesses, which was measured by using bandwidths of pre-determined 500, 1000 and 5000 m, respectively. In fact, their method is not a fully data-based approach in that they used pre-determined kernel bandwidths, however, this paper has been planned to improve Lee and Lee`s method by using a kind of data-based approach of the L-index that describes clustering level of point feature distribution. The case study is implemented to automobile-related retail businesses in Seoul, Korea with selected Kernel bandwidths, 1211.5, 2120.2 and 7067.2 m from L-index analysis. Subsequently, the kernel density is measured, the density DEM is created by inverting it, and boundaries of market areas are extracted. Following the study, analysis results are summarized as follows. Firstly, the L-index can be a useful tool to complement the Lee and Lee`s market area analysis method. At next, the kernel bandwidths, pre-determined by Lee and Lee, cannot be uniformly applied to all kinds of retail businesses. Lastly, the L-index method can be useful for analyzing the space structure of market areas of retail businesses, based on Christaller`s central place theory.
Market Area;Hydrological Modeling;Kernel Density;L-index;
 Cited by
Borruso, G. and Schoier, G. (2004), Density analysis on large geographical databases, Search for an Index of Centrality of Services at Urban Scale, ICCSA 2004, LNCS 3044, pp. 1009-1015.

Brunsdon, C. (1995), Estimating probability surfaces for geographical point data: an adaptive kernel algorithm, Computers and Geosciences, Vol.21, No.7, pp. 877-894. crossref(new window)

Bucklin, L.P. (1971). Trade area boundaries: some issues in theory and methodology. Journal of Marketing Research, Vol.8, No.1, pp. 30-37. crossref(new window)

Christaller, W. (1966), Central places in Southern Germany (C. W. Baskin, Trans.), Prentice Hall, Upper Saddle River.

Clark, W. A. V., and Rushton, G. (1970). Models of intraurban consumer behavior and their implications for central place theory, Economic Geography, Vol.46, NO.3, pp. 486-497 crossref(new window)

Converse, P.D. (1949). New laws of retail gravitation, Journal of Marketing, Vol.14, No.3, pp. 379-384. crossref(new window)

Cressie, N. (1991), Statistics for Spatial Data, John Wiley and Sons, New York.

Current, J.R. and Storbeck, J.E. (1994). A multiobjective approach to design franchise outlet networks. The Journal of the Operation Research Society, Vol.45, No.1, pp.71-81. crossref(new window)

Davies, C. S., Holz, R.K., and Robertus, D. (1999). A test of central place theory using shuttle imaging radar (SIR-A) of China's north central plain. Geocarto International, Vol.4, No.1, pp.14-23.

Diggle, P. J. (1985), A kernel method for smoothing point process data, Applied Statistics, Vol.34, No.2, pp. 138-147. crossref(new window)

Goodwin, M. T. and Unwin, D. (2000), Defining and delineating the central areas of towns for statistical monitoring using continuous surface representations, Transactions in GIS, Vol.4, No.4, pp. 305-317. crossref(new window)

Hwang, S. (2004), Temporal extensions of K function, UCGIS Fall 2004, pp. 1-18.

Huff, D. L. (1963), A probabilistic analysis of shopping center trade areas, Land Economics, Vol.39, No. February, pp. 81-90. crossref(new window)

Huff, D. L. and Batsell, R. R. (1977), Delimiting the areal extent of a market area. Journal of Marketing Research, Vol.14, No.4, pp. 581-585. crossref(new window)

Huff, D.L. and Rust, R.T. (1984), Measuring the congruence of market areas, Journal of Marketing, Vol.48, No.Winter, pp. 68-74.

Jin, C.-J., Park, H.-S., and Kang, J.-M. (2012), An empirical analysis of locational tendency of coffee shops around Hongik university, Journal of the Urban Design Institute of Korea, Vol.13, No.5, pp. 71-82. (in Korean with English abstract)

Lee, B. (2008), Applying the L-index for analyzing the density of point features, The Journal of GIS Association of Korea, Vol.16, No.2, pp. 237-247. (in Korean with English abstract)

Lee, B. and Lee, S.-K. (2014), Delimiting boundaries of market areas of central places using the density of retail facilities in an urban space, International Journal of Urban Sciences, Vol.18, No.1, pp. 90-102. crossref(new window)

Lee, B.-K. and Kim, J.-Y. (2008), Employment center identification by density-based clustering method, Journal of the Korean Regional Development Association, Vol.20, No.3, pp. 1-20. (in Korean with English abstract)

Lee, C.-S. (1992), A Study on the Hierarchy and Typology Analysis of the Commercial Zone in Seoul City (Unpublished doctoral dissertation). Seoul National University, Seoul.

Lee, S.-K. and Lee, B. (2013), Assessing the appropriateness of the spatial distribution of Standard Lots using the L-index, Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, Vol.31, No.6-2, pp. 601-609. (in Korean with English abstract) crossref(new window)

Lee, Y.-I., Hong, S.-E., and Park, S. (2010), Methodology of the spatial boundary determination for trade area of largescale discount stores using GIS and road connectivity, Journal of Korea Spatial Information Society, Vol.8, No.1, pp. 11-17. (in Korean with English abstract)

Pirounakis, N. G. (2013), Real Estate Economics, Routledge, London.

Reilly, W. J. (1931), The Law of Retail Gravitation, Knickerbocker Press, NY.

Ripley, B. D. (1976), The second-order analysis of stationary point processes, Journal of Applied Probability, Vol.13, pp. 255-266. crossref(new window)

Shin, W.-J., Jung, C.-M., and Lee, S.-K. (2002), A study on the changing patterns of the commercial power based on retail trade area analysis, Journal of the Korea Real Estate Analysts Association, Vol.8, No.1, pp. 1-11. (in Korean with English abstract).