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Development of an indicator to assess the spatial fit of discrete choice models

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  • Páez, Antonio
  • López, Fernando A.
  • Ruiz, Manuel
  • Morency, Catherine

Abstract

Discrete choice models are increasingly implemented using geographical data. When this is the case, it may not be sufficient to project market shares accurately, but also to correctly replicate the spatial pattern of choices. Analysts might then be interested in assessing the results of a model’s fit relative to the spatial distribution of the observed responses. While canonical approaches exist for the exploratory spatial analysis of continuous variables, similar tools have not been widely implemented for discrete choice models, where the variable of interest is categorical. For this reason, despite recent progress with spatial models for discrete outcomes, there is still not a simple and intuitive tool to assess the quality of the spatial fit of a discrete choice model. The objective of this paper is to introduce a new indicator of spatial fit that can be applied to the results of discrete choice models. Utility of the indicator is explored by means of numerical experiments and then demonstrated by means of a case study of vehicle ownership in Montreal, Canada.

Suggested Citation

  • Páez, Antonio & López, Fernando A. & Ruiz, Manuel & Morency, Catherine, 2013. "Development of an indicator to assess the spatial fit of discrete choice models," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 217-233.
  • Handle: RePEc:eee:transb:v:56:y:2013:i:c:p:217-233
    DOI: 10.1016/j.trb.2013.08.009
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    1. Antonio Páez, 2007. "Spatial perspectives on urban systems: developments and directions," Journal of Geographical Systems, Springer, vol. 9(1), pages 1-6, April.
    2. Barry Boots, 2006. "Local configuration measures for categorical spatial data: binary regular lattices," Journal of Geographical Systems, Springer, vol. 8(1), pages 1-24, March.
    3. Raja Chakir & Olivier Parent, 2009. "Determinants of land use changes: A spatial multinomial probit approach," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 327-344, June.
    4. Bhat, Chandra R., 2011. "The maximum approximate composite marginal likelihood (MACML) estimation of multinomial probit-based unordered response choice models," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 923-939, August.
    5. Alemu, Dubbale Daniel & Tsutsumi, Jun-ichiro Giorgos, 2011. "Determinants and spatial variability of after-school travel by teenagers," Journal of Transport Geography, Elsevier, vol. 19(4), pages 876-881.
    6. Adjemian, Michael K. & Cynthia Lin, C.-Y. & Williams, Jeffrey, 2010. "Estimating spatial interdependence in automobile type choice with survey data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(9), pages 661-675, November.
    7. Wang, Xiaokun (Cara) & Kockelman, Kara M. & Lemp, Jason D., 2012. "The dynamic spatial multinomial probit model: analysis of land use change using parcel-level data," Journal of Transport Geography, Elsevier, vol. 24(C), pages 77-88.
    8. Ipek Sener & Chandra Bhat, 2012. "Flexible spatial dependence structures for unordered multinomial choice models: formulation and application to teenagers’ activity participation," Transportation, Springer, vol. 39(3), pages 657-683, May.
    9. Xiaokun Wang & Kara M. Kockelman, 2009. "Application of the dynamic spatial ordered probit model: Patterns of land development change in Austin, Texas," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 345-365, June.
    10. Manuel Ruiz & Fernando López & Antonio Páez, 2010. "Testing for spatial association of qualitative data using symbolic dynamics," Journal of Geographical Systems, Springer, vol. 12(3), pages 281-309, September.
    11. Morency, Catherine & Paez, Antonio & Roorda, Matthew J. & Mercado, Ruben & Farber, Steven, 2011. "Distance traveled in three Canadian cities: Spatial analysis from the perspective of vulnerable population segments," Journal of Transport Geography, Elsevier, vol. 19(1), pages 39-50.
    12. Bhat, Chandra R. & Pulugurta, Vamsi, 1998. "A comparison of two alternative behavioral choice mechanisms for household auto ownership decisions," Transportation Research Part B: Methodological, Elsevier, vol. 32(1), pages 61-75, January.
    13. Chandra Bhat & Ipek Sener, 2009. "A copula-based closed-form binary logit choice model for accommodating spatial correlation across observational units," Journal of Geographical Systems, Springer, vol. 11(3), pages 243-272, September.
    14. Matthew Roorda & Antonio Páez & Catherine Morency & Ruben Mercado & Steven Farber, 2010. "Trip generation of vulnerable populations in three Canadian cities: a spatial ordered probit approach," Transportation, Springer, vol. 37(3), pages 525-548, May.
    15. McFadden, Daniel, 1974. "The measurement of urban travel demand," Journal of Public Economics, Elsevier, vol. 3(4), pages 303-328, November.
    16. Frank Goetzke & Tilmann Rave, 2011. "Bicycle Use in Germany: Explaining Differences between Municipalities with Social Network Effects," Urban Studies, Urban Studies Journal Limited, vol. 48(2), pages 427-437, February.
    17. Bhat, Chandra R. & Guo, Jessica, 2004. "A mixed spatially correlated logit model: formulation and application to residential choice modeling," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 147-168, February.
    18. Bhat, Chandra R. & Sener, Ipek N. & Eluru, Naveen, 2010. "A flexible spatially dependent discrete choice model: Formulation and application to teenagers' weekday recreational activity participation," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 903-921, September.
    19. Bin Zhou & Kara Kockelman, 2008. "Neighborhood impacts on land use change: a multinomial logit model of spatial relationships," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 42(2), pages 321-340, June.
    20. Hakim Hammadou & Isabelle Thomas & Ann Verhetsel & Frank Witlox, 2008. "How to Incorporate the Spatial Dimension in Destination Choice Models: The Case of Antwerp," Transportation Planning and Technology, Taylor & Francis Journals, vol. 31(2), pages 153-181, January.
    21. Giuliano, Genevieve & Dargay, Joyce, 2006. "Car ownership, travel and land use: a comparison of the US and Great Britain," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(2), pages 106-124, February.
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    1. Chen, T. Donna & Wang, Yiyi & Kockelman, Kara M., 2015. "Where are the electric vehicles? A spatial model for vehicle-choice count data," Journal of Transport Geography, Elsevier, vol. 43(C), pages 181-188.
    2. Hankach, Pierre & Gastineau, Pascal & Vandanjon, Pierre-Olivier, 2022. "Multi-scale spatial analysis of household car ownership using distance-based Moran's eigenvector maps: Case study in Loire-Atlantique (France)," Journal of Transport Geography, Elsevier, vol. 98(C).

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