Abstract
The retail gravity model is the model commonly used for estimating the retail sales potential of a retail center. Estimating retail sales is critically important to many decision makers. The traditional gravity model uses only size and distance as the only variables in its estimation. This chapter improves on the traditional gravity model by including retail center specific variables and socioeconomic characteristics of the shoppers in addition to size and distance, the traditional gravity model explanatory variables. In this chapter, shopping behavior is specified as a Poisson process. The estimation of retail sales involves two major steps. In the first step, the number of shopping trips taken to the different shopping centers in a retailing system are estimated. In the second step, retail centers are allocated retail sales for the Metropolitan Statistical Area, based on their shares of shopping trips.
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References
Adler, Thomas J., and Moshe Ben-Akiva. (1976). “Joint-Choice Model for Frequency, Destination, and Travel Mode for Shopping Trips.” Transportation Research Record 569, 136–150.
Atlanta Journal and Constitution Newspapers. (1970). Shopping Centers in Five-County Metropolitan Atlanta. Atlanta: Atlanta Newspapers.
Atlanta Journal and Constitution Newspapers. (1977). Atlanta Regional Centers: Fifteen-County Metro Atlanta. Atlanta: Atlanta Newspapers.
Clapp, John M. (1980) “The Intrametropolitan Location of Office Activities.” Journal of Regional Science 20(3) (August), 387–399.
Cleveland, Donald E., and Edward A. Mueller. (1961). Traffic Characteristics at Regional Shopping Centers. New Haven, CT: Yale University, Bureau of Traffic.
Connecticut Highway Department. (1963). Connecticut Interregional Planning Program: Technical Summary No. 3. Hartford: Connecticut Highway Department.
Daniels, P. W. (1980). Office Location and the Journey to Work: A Comparative Study of Five Urban Areas. Westmead, Farnborough, Hants, England: Gower.
Davis, D.J. (1952). “An Analysis of Some Failure Data.” - Journal of the American Statistical Association 47 (June), 113150.
Dent, Border D. (1978). “Trade Area Analysis of Atlanta’s Regional Shopping Centers.” Unpublished paper, Georgia State University, Department of Geography.
Domencich, Thomas A., and Daniel McFadden. (1975). Urban Travel Demand. New York: American Elsevier.
Ehrenberg, A. S. C. (1959). “The Pattern of Consumer Purchases.” Applied Statistics 8, 26–41.
Ellwood, L. W. (1954) “Estimating Potential Volume of Proposed Shopping Centers.” Appraisal Journal 22, 581–589.
Flowerdew, Robin, and Murray Aitkin. (1982). “A Method of Fitting the Gravity Model Based on the Poisson Distribution.” Journal of Regional Science 22.
Gart, John J. (1964). “The Analysis of Poisson Regression with an Application in Virology.” Biometrika 51 (December), 517–521.
Huff, David L. (1963). “A Probabilistic Analysis of Shopping Center Trade Area.” Land Economics 53, 81–90.
Ingene, Charles A., and Robert F. Lusch. (1980). “Market Selection Decisions for Department Stores.” Journal of Retailing 56(3) (Fall), 21–40.
Ingene, Charles A., and Eden S. H. Yu (1981). “Determinants of Retail Sales in SMSAs.” Regional Science and Urban Economics 11, 529–547.
Kumar, T. Krishna, and Wen-Fu P. Shih. (1978). “An Application of a Multiple Regression Model of the Poisson Process to the Murder Supply Equation.” American Statistical Association: Proceedings of the Business and Economic Statistics Section, 715–720.
Lakshmanan, T. R., and Walter G. Hansen (1965). “A Retail Market Potential Model.” Journal of the American Institute of Planners (May), 134–176.
Lalonde, Bernard J. (1962). “Differential in Supermarket Drawing Power.” Unpublished paper, Economics and Business Research, Michigan State University, East Lansing.
Mcdougall, Edgar J. (1978). “A Consumer Utility Model for Allocation of Sales Among Major Retail Centers.” Ph.D. dissertation, University of Florida.
Nourse, Hugh O. (1986). “Improve Investment Decisions by Breaking the DCF Habit.” Real Estate Review, 75–80.
Okoruwa, A. Ason (1985) “Predicting Patronization Rates for Urban Retail Centers: An Extension of the Poisson Gravity Model.” Ph.D. dissertation, University of Georgia.
Okoruwa A. Ason, Hugh O. Nourse, and Joseph V. Terza. (1994) “Estimating Sales for Retail Centers: An Application of Poisson Gravity Model.” Journal of Real Estate Research 9(1), 85–97.
Okoruwa, A. Ason, Joseph V. Terza, and Hugh O. Nourse. (1988). “Estimating Patronization Shares for Urban Retail Centers: An Extension of the Poisson Gravity Model.” Journal of Urban Economics 24, 241–259.
Pankhurst, I. C, and P. E. Roe. (1979) “An Empirical Study of Two Shopping Models.” Regional Studies 12, 727–748.
Pauli, Allan E. (1978). “A Generalized Compound Poisson Model for Consumer Purchase Panel Data.” Journal of the American Statistical Association 73 (December), 706–713.
Reilly, William J. (1931). The Law of Retail Gravitation. New York: Putnam.
Sales and Marketing Management Magazine. (1987). The Survey of Buying Power: Data Service 1987. New York: Sales and Marketing Management Magazine.
Stanley, Thomas J., and Murphy A. Sewall. (1976). “Image Inputs to a Probabilistic Model: Predicting Retail Potential.” Journal of Marketing 40 (July), 48–53.
Terza, Joseph V. (1985). “A Tobit-Type Estimator for the Censored Poisson Regression Model.” Economics Letters 18, 361–365.
Terza, Joseph V., and A. Ason Okoruwa. (1985) “An Algorithm for the Estimation of Poisson Regressions Involving Structural Change.” Communications in Statistics 14, 853–866.
Turner, R., and H. S. D. Cole. (1980). “An Investigation into the Estimation and Reliability of Urban Shopping Models.” Urban Studies 17, 139–157.
U.S. Bureau of the Census. (1982). State and Metropolitan Area Data Book, 1982. Washington, DC: U.S. Government Printing Office.
Urban Land Institute. (1978). Dollars and Cents of Shopping Centers 1978. Washington, DC: Urban Land Institute.
Weber, Donald C. (1971) “Accident Rate Potential: An Application of Multiple Regression Analysis of a Poisson Process.” Journal of the American Statistical Association 66 (June), 285–288.
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© 1996 Kluwer Academic Publishers
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Okoruwa, A.A., Nourse, H.O., Terza, J.V. (1996). Estimating Retail Sales Using the Poisson Gravity Model. In: Benjamin, J.D. (eds) Megatrends in Retail Real Estate. Research Issues in Real Estate, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1802-3_6
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DOI: https://doi.org/10.1007/978-94-009-1802-3_6
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