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Interpreting Spatial Econometric Origin-Destination Flow Models

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  • James P. LeSage
  • Christine Thomas-Agnan

Abstract

type="main"> Spatial interaction or gravity models have been used to model flows that take many forms, for example population migration, commodity flows, traffic flows, all of which reflect movements between origin and destination regions. We focus on how to interpret estimates from spatial autoregressive extensions to the conventional regression-based gravity models that relax the assumption of independence between flows. These models proposed by LeSage and Pace ( , ) define spatial dependence involving flows between regions. We show how to calculate partial derivative expressions for these models that can be used to quantify these various types of effect that arise from changes in the characteristics/explanatory variables of the model.

Suggested Citation

  • James P. LeSage & Christine Thomas-Agnan, 2015. "Interpreting Spatial Econometric Origin-Destination Flow Models," Journal of Regional Science, Wiley Blackwell, vol. 55(2), pages 188-208, March.
    • Handle: RePEc:bla:jregsc:v:55:y:2015:i:2:p:188-208
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    References listed on IDEAS

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    1. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    2. Smith, Tony E., 1975. "A choice theory of spatial interaction," Regional Science and Urban Economics, Elsevier, vol. 5(2), pages 137-176, May.
    3. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    4. Bolduc, Denis & Laferriere, Richard & Santarossa, Gino, 1992. "Spatial autoregressive error components in travel flow models," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 371-385, September.
    5. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    6. James LeSage & Carlos Llano-Verduras, 2014. "Forecasting spatially dependent origin and destination commodity flows," Empirical Economics, Springer, vol. 47(4), pages 1543-1562, December.
    7. Lambert, Dayton M. & Brown, Jason P. & Florax, Raymond J.G.M., 2010. "A two-step estimator for a spatial lag model of counts: Theory, small sample performance and an application," Regional Science and Urban Economics, Elsevier, vol. 40(4), pages 241-252, July.
    8. Ranjan, Priya & Tobias, Justin, 2007. "Bayesian Inference in the Gravity Model," Staff General Research Papers Archive 12721, Iowa State University, Department of Economics.
    9. James P. LeSage & R. Kelley Pace, 2008. "Spatial Econometric Modeling Of Origin‐Destination Flows," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 941-967, December.
    10. repec:rre:publsh:v:37:y:2007:i:1:p:28-38 is not listed on IDEAS
    11. James P. LeSage & Manfred M. Fischer & Thomas Scherngell, 2007. "Knowledge spillovers across Europe: Evidence from a Poisson spatial interaction model with spatial effects," Papers in Regional Science, Wiley Blackwell, vol. 86(3), pages 393-421, August.
    12. Priya Ranjan & Justin L. Tobias, 2007. "Bayesian inference for the gravity model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(4), pages 817-838.
    13. Manfred M. Fischer & Daniel A. Griffith, 2008. "Modeling Spatial Autocorrelation In Spatial Interaction Data: An Application To Patent Citation Data In The European Union," Journal of Regional Science, Wiley Blackwell, vol. 48(5), pages 969-989, December.
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