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Erschienen in: The Annals of Regional Science 2/2014

01.03.2014 | Original Paper

The impact of retail establishments in hinterlands on the export role of retail establishments in rural places

verfasst von: David Mushinski, Stephan Weiler, Benjamin Widner

Erschienen in: The Annals of Regional Science | Ausgabe 2/2014

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Abstract

Rural retail trade industries can serve an export function for and contribute to the economic growth of a rural place. The importance of a retail trade industry to the economy of a rural place depends on its market area. Since those market areas often extend into a place’s hinterlands, retail trade can effectively have an export component for the place itself. Yet empirical determination of the export role of a rural retail trade industry has been historically confounded by data limitations which limit testing for and identification of an industry’s market area. Using geographic information system tools to define variables for differing driving distances (as contrasted with circles defined by Euclidean distance) from a place, this paper tests for the market areas of seven retail trade industries in rural places and for the impact of retail trade in hinterlands on those market areas. This paper contributes to the relevant literature in three ways. First, it tests formally for a retail industry’s “market area driving time.” Prior articles which have incorporated distance into their analyses have not generally tested for the actual travel times more appropriate for such analyses. Second, it finds that not undertaking such testing might produce misleading results regarding the relationship between a place and the hinterlands in its market areas. Third, the regression results suggest subtlety in the export nature of rural retail trade, with some industries losing their export nature when competing businesses appear in hinterlands (Weak Export Retail industries) and other industries retaining their export nature under those circumstances (Strong Export Retail industries).

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1
Articles which have addressed simultaneity between two variables in which one dependent variable is a count variable have generally assumed that the second variable is either binary or that it has a linear reduced form (e.g., Windmeijer and Santos Silva 1997; Wooldridge 2010: 742–747). Those models are not relevant because we have a count-data regressor which is possibly endogenous, whose reduced form will not be linear.
 
2
Wooldridge (2010: 748) notes that the Mullahy’s estimator does not impose restrictions on the distribution of \({y}_\mathrm{N}\) conditional on z, other than standard rank conditions for identification. Our presentation of Mullahy’s model is similar to that in Wooldridge (2010: 747–748).
 
3
The vector z will include the elements of x \(_\mathbf{1}\) which are exogenous and the instruments for \({y}_{n}\) (the endogenous variable).
 
4
We estimated Eq. (3) using a GAUSS software procedure made available through the Centre for Microdata Methods and Practice at the Institute For Fiscal Studies (Windmeijer 2002).
 
5
All of the \(42\, \hbox {R}^{2}\)’s exceeded 0.49, with thirty-one of the \(\hbox {R}^{2}\)’s exceeding 0.60.
 
6
Data on the exact sizes of establishments and their distribution, which would preferable, are not readily available. There are data available on size classes of establishments, the number of establishments that exist in a particular range of employment levels. However, using those categories would lead to problematic discontinuities in empirical analyses.
 
7
The states were Colorado, Idaho, Montana, Utah, Iowa, Kansas, Minnesota, Missouri, Nebraska, North Dakota and South Dakota.
 
8
Microsoft MapPoint calculations are based on posted speeds and average travel time. The default settings were used to construct our radii and were cross-checked with sample data in ArcGIS as well as Google Maps.
 
9
The dependent variable and the regressors in the \(P\) test regression vary according to the hypothesis chosen to be null.
 
10
Both the 20- and 30-min driving time are rejected when they are paired, and the 30- and 40-min intervals are accepted when they are paired. The 50-min interval is superior when tested against the 40-min interval and is no different than the 60-min interval. When the 20-min distance is tested against the 50-min interval, both intervals are rejected. The same is true when the 20-min interval is tested against the 60-min interval.
 
11
It would be tempting to search all of the regression results for explanations of the differences between the results here and those in Mushinski and Weiler (2002). Because their definition of neighboring areas as the remainder of the county in which a place was located allowed for market areas of differing shape and size, such a search was not meaningfully possible.
 
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Metadaten
Titel
The impact of retail establishments in hinterlands on the export role of retail establishments in rural places
verfasst von
David Mushinski
Stephan Weiler
Benjamin Widner
Publikationsdatum
01.03.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
The Annals of Regional Science / Ausgabe 2/2014
Print ISSN: 0570-1864
Elektronische ISSN: 1432-0592
DOI
https://doi.org/10.1007/s00168-014-0595-3

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