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The location quotient as an estimator of industrial concentration

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  • Billings, Stephen B.
  • Johnson, Erik B.

Abstract

We construct the location quotient (LQ) from a discrete data generating process and formally test its statistical properties. First, we show that the LQ is typically unbiased, but exhibits finite sample bias when assuming a Poisson distribution. Second, we determine the accuracy of statistical tests, which depends of both sample size as well as desired confidence levels. After constructing LQs using County Business Patterns (2000) data, we find improved accuracy in statistical tests when one increases spatial as well as industrial aggregation. Results show a clear tradeoff between precise statistical inference and power in detecting industrial concentration.

Suggested Citation

  • Billings, Stephen B. & Johnson, Erik B., 2012. "The location quotient as an estimator of industrial concentration," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 642-647.
  • Handle: RePEc:eee:regeco:v:42:y:2012:i:4:p:642-647
    DOI: 10.1016/j.regsciurbeco.2012.03.003
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    References listed on IDEAS

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    1. Paulo Guimarães & Octávio Figueirdo & Douglas Woodward, 2003. "A Tractable Approach to the Firm Location Decision Problem," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 201-204, February.
    2. Joseph P. Romano & Michael Wolf, 2005. "Stepwise Multiple Testing as Formalized Data Snooping," Econometrica, Econometric Society, vol. 73(4), pages 1237-1282, July.
    3. Briant, A. & Combes, P.-P. & Lafourcade, M., 2010. "Dots to boxes: Do the size and shape of spatial units jeopardize economic geography estimations?," Journal of Urban Economics, Elsevier, vol. 67(3), pages 287-302, May.
    4. Schmidheiny, Kurt & Brülhart, Marius, 2011. "On the equivalence of location choice models: Conditional logit, nested logit and Poisson," Journal of Urban Economics, Elsevier, vol. 69(2), pages 214-222, March.
    5. Guimarães, Paulo & Figueiredo, Octávio & Woodward, Douglas, 2009. "Dartboard tests for the location quotient," Regional Science and Urban Economics, Elsevier, vol. 39(3), pages 360-364, May.
    6. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," Review of Economic Studies, Oxford University Press, vol. 72(4), pages 1077-1106.
    7. Dan O'Donoghue & Bill Gleave, 2004. "A Note on Methods for Measuring Industrial Agglomeration," Regional Studies, Taylor & Francis Journals, vol. 38(4), pages 419-427.
    8. Thomas J. Holmes & John J. Stevens, 2002. "Geographic Concentration and Establishment Scale," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 682-690, November.
    9. Gemechis D. Djira & Frank Schaarschmidt & Bichaka Fayissa, 2008. "Inferences for Selected Location Quotients with Applications to Health Outcomes," Working Papers 200809, Middle Tennessee State University, Department of Economics and Finance.
    10. Philip Mccann & John H. LL. Dewhurst, 1998. "Regional Size, Industrial Location and Input-Output Expenditure Coefficients," Regional Studies, Taylor & Francis Journals, vol. 32(5), pages 435-444.
    11. George Deltas, 2003. "The Small-Sample Bias of the Gini Coefficient: Results and Implications for Empirical Research," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 226-234, February.
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    Citations

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    Cited by:

    1. Tian, Zheng, 2013. "Measuring Agglomeration Using the Standardized Location Quotient with a Bootstrap Method," Journal of Regional Analysis and Policy, Mid-Continent Regional Science Association, vol. 43(2).
    2. Stephen Sheppard & Dan Zhao, 2016. "Regional Concentration of Industry in China: Decentralised Choices or a Central Plan?," Department of Economics Working Papers 2016-17, Department of Economics, Williams College.
    3. repec:gam:jsusta:v:9:y:2017:i:9:p:1650-:d:112262 is not listed on IDEAS
    4. Jose Claudio Linhares Pires & Tulio Cravo & Simon Lodato & Caio Piza, 2013. "Industrial Clusters and Economic Performance in Brazil," IDB Publications (Working Papers) 4771, Inter-American Development Bank.

    More about this item

    Keywords

    Location quotient; Industrial concentration;

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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