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A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation

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  • Louis Grange
  • Angel Ibeas
  • Felipe González

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  • Louis Grange & Angel Ibeas & Felipe González, 2011. "A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation," Networks and Spatial Economics, Springer, vol. 11(3), pages 439-463, September.
    • Handle: RePEc:kap:netspa:v:11:y:2011:i:3:p:439-463
    DOI: 10.1007/s11067-008-9097-0
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    References listed on IDEAS

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    1. Fisk, Caroline, 1980. "Some developments in equilibrium traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 243-255, September.
    2. Morton Schneider, 1959. "Gravity Models And Trip Distribution Theory," Papers in Regional Science, Wiley Blackwell, vol. 5(1), pages 51-56, January.
    3. Hensher, David A, 1986. "Sequential and Full Information Maximum Likelihood Estimation of a Nested Logit Model," The Review of Economics and Statistics, MIT Press, vol. 68(4), pages 657-667, November.
    4. Daniel C. Knudsen & A. Stewart Fotheringham, 1986. "Matrix Comparison, Goodness-of-Fit, and Spatial Interaction Modeling," International Regional Science Review, , vol. 10(2), pages 127-147, August.
    5. S. C. Fang & H.-S. J. Tsao, 1995. "Linearly-Constrained Entropy Maximization Problem with Quadratic Cost and Its Applications to Transportation Planning Problems," Transportation Science, INFORMS, vol. 29(4), pages 353-365, November.
    6. de Grange, Louis & Troncoso, Rodrigo & Ibeas, Angel & González, Felipe, 2009. "Gravity model estimation with proxy variables and the impact of endogeneity on transportation planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(2), pages 105-116, February.
    7. T. Abrahamsson & L. Lundqvist, 1999. "Formulation and Estimation of Combined Network Equilibrium Models with Applications to Stockholm," Transportation Science, INFORMS, vol. 33(1), pages 80-100, February.
    8. Winkelmann, Rainer & Zimmermann, Klaus F, 1995. "Recent Developments in Count Data Modelling: Theory and Application," Journal of Economic Surveys, Wiley Blackwell, vol. 9(1), pages 1-24, March.
    9. Pingzhao Hu & Jim Pooler, 2002. "An empirical test of the competing destinations model," Journal of Geographical Systems, Springer, vol. 4(3), pages 301-323, October.
    10. H R Kirby & M N Leese, 1978. "Trip-Distribution Calculations and Sampling Error: Some Theoretical Aspects," Environment and Planning A, , vol. 10(7), pages 837-851, July.
    11. Joaquin De Cea & J. Enrique Fernandez & Louis De Grange, 2007. "Combined Models with Hierarchical Demand Choices: A Multi‐Objective Entropy Optimization Approach," Transport Reviews, Taylor & Francis Journals, vol. 28(4), pages 415-438, October.
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    Cited by:

    1. Louis Grange & Felipe González & Ignacio Vargas & Rodrigo Troncoso, 2015. "A Logit Model With Endogenous Explanatory Variables and Network Externalities," Networks and Spatial Economics, Springer, vol. 15(1), pages 89-116, March.
    2. Javier Rubio-Herrero & Jesús Muñuzuri, 2021. "Indirect estimation of interregional freight flows with a real-valued genetic algorithm," Transportation, Springer, vol. 48(1), pages 257-282, February.
    3. Birolini, Sebastian & Cattaneo, Mattia & Malighetti, Paolo & Morlotti, Chiara, 2020. "Integrated origin-based demand modeling for air transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    4. T. Edward Yu & Bijay P. Sharma & Burton C. English, 2019. "Investigating Lock Delay on the Upper Mississippi River: a Spatial Panel Analysis," Networks and Spatial Economics, Springer, vol. 19(1), pages 275-291, March.
    5. Louis Grange & Felipe González & Juan Muñoz & Sebastián Raveau, 2014. "An Improved Stirling Approximation for Trip Distribution Models," Networks and Spatial Economics, Springer, vol. 14(3), pages 531-548, December.
    6. Giuseppe Bruno & Andrea Genovese, 2012. "A Spatial Interaction Model for the Representation of the Mobility of University Students on the Italian Territory," Networks and Spatial Economics, Springer, vol. 12(1), pages 41-57, March.
    7. Cordera, Rubén & Sañudo, Roberto & dell’Olio, Luigi & Ibeas, Ángel, 2018. "Trip distribution model for regional railway services considering spatial effects between stations," Transport Policy, Elsevier, vol. 67(C), pages 77-84.

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