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A commuting-based refinement of the contiguity matrix for spatial models, and an application to local police expenditures

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  • Rincke, Johannes

Abstract

One of the main weaknesses of empirical models in regional science and urban economics involving spatial interdependence is the arbitrary nature of the weight matrix. The paper considers a refinement of the commonly used contiguity matrix which exploits information on commuting flows between locations. Within the set of contiguous jurisdictions, the matrix assigns higher weights to localities for which commuting patterns suggest that households would view them as substitute locations to reside in. The concept is then applied to cities and townships in New England. Using the expenditure competition effect on local police spending as an example, we show that commuting-adjusted weighting schemes give estimates which differ substantially from those obtained using a standard contiguity matrix.

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  • Rincke, Johannes, 2010. "A commuting-based refinement of the contiguity matrix for spatial models, and an application to local police expenditures," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 324-330, September.
  • Handle: RePEc:eee:regeco:v:40:y:2010:i:5:p:324-330
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    Cited by:

    1. Masayoshi Hayashi & Wataru Yamamoto, 2017. "Information sharing, neighborhood demarcation, and yardstick competition: an empirical analysis of intergovernmental expenditure interaction in Japan," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(1), pages 134-163, February.
    2. Firgo, Matthias & Kügler, Agnes, 2014. "Detecting Collusion in Spatially Differentiated Markets," Department of Economics Working Paper Series 4347, WU Vienna University of Economics and Business.
    3. Ernest Miguélez & Rosina Moreno, 2013. "Do Labour Mobility and Technological Collaborations Foster Geographical Knowledge Diffusion? The Case of European Regions," Growth and Change, Wiley Blackwell, vol. 44(2), pages 321-354, June.
    4. Qu, Xi & Lee, Lung-fei & Yu, Jihai, 2017. "QML estimation of spatial dynamic panel data models with endogenous time varying spatial weights matrices," Journal of Econometrics, Elsevier, vol. 197(2), pages 173-201.
    5. Benny Geys & Steffen Osterloh, 2013. "Borders As Boundaries To Fiscal Policy Interactions? An Empirical Analysis Of Politicians’ Opinions On Rivals In The Competition For Firms," Journal of Regional Science, Wiley Blackwell, vol. 53(4), pages 583-606, October.
    6. Skidmore, Mark & Reese, Laura & Kang, Sung Hoon, 2012. "Regional analysis of property taxation, education finance reform, and property value growth," Regional Science and Urban Economics, Elsevier, vol. 42(1-2), pages 351-363.
    7. Seya, Hajime & Yamagata, Yoshiki & Tsutsumi, Morito, 2013. "Automatic selection of a spatial weight matrix in spatial econometrics: Application to a spatial hedonic approach," Regional Science and Urban Economics, Elsevier, vol. 43(3), pages 429-444.
    8. Kotyrlo, Elena, 2016. "Space-time dynamics of fertility and commuting," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 41, pages 78-95.
    9. Johan Lundberg, 2014. "On the definition of W in empirical models of yardstick competition," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(2), pages 597-610, March.
    10. Ernest Miguele & Rosina Moreno, 2012. "Do labour mobility and networks foster geographical knowledge diffusion? The case of European regions," Working Papers XREAP2012-14, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2012.

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