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A Bayesian sample selection model with a binary outcome for handling residential self-selection in individual car ownership

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  • Watanabe, Hajime
  • Maruyama, Takuya

Abstract

Existing literature has applied the sample selection modeling approach to disentangle the influence of the built environment (BE) and residential self-selection (RSS) on travel behavior. However, a limitation of the existing sample selection models is that they can handle only continuous or ordinal outcomes. The contribution of this study is twofold. First, we develop a sample selection model that can handle binary travel behavior outcomes in the RSS context. When the travel behavior outcome is binary, this approach's potential parameter identification issue can become serious. We employ a non-flat prior and Watanabe-Akaike information criterion in the Bayesian framework to address this issue. Second, we apply this proposed model to travel survey data in Kumamoto City, Japan, to disentangle the BE influence of a neighborhood type and RSS on car ownership. The neighborhood type is defined as the neighborhood being either less than 1,500 m (A) or greater than 1,500 m (B) from a station. We reveal that the true influence of the neighborhood type results in a mere 2.1 percentage point decrease in the car ownership probability. Additionally, we find that the share of the total BE influence (including the RSS influence) owing to RSS on the householder's car ownership is 45.7%. The proposed model is a new and useful tool for quantifying the influence of BE and the relative influence of RSS on binary travel behavior.

Suggested Citation

  • Watanabe, Hajime & Maruyama, Takuya, 2024. "A Bayesian sample selection model with a binary outcome for handling residential self-selection in individual car ownership," Journal of choice modelling, Elsevier, vol. 51(C).
    • Handle: RePEc:eee:eejocm:v:51:y:2024:i:c:s175553452400023x
    DOI: 10.1016/j.jocm.2024.100491
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    as
    1. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. Sugiyama, T. & Francis, J. & Middleton, N.J. & Owen, N. & Giles-CortI, B., 2010. "Associations between recreational walking and attractiveness, size, and proximity of neighborhood open spaces," American Journal of Public Health, American Public Health Association, vol. 100(9), pages 1752-1757.
    3. Abdul Pinjari & Ram Pendyala & Chandra Bhat & Paul Waddell, 2007. "Modeling residential sorting effects to understand the impact of the built environment on commute mode choice," Transportation, Springer, vol. 34(5), pages 557-573, September.
    4. Mokhtarian, Patricia L. & Cao, Xinyu, 2008. "Examining the impacts of residential self-selection on travel behavior: A focus on methodologies," Transportation Research Part B: Methodological, Elsevier, vol. 42(3), pages 204-228, March.
    5. James Heckman & Justin L. Tobias & Edward Vytlacil, 2001. "Four Parameters of Interest in the Evaluation of Social Programs," Southern Economic Journal, John Wiley & Sons, vol. 68(2), pages 210-223, October.
    6. Bhat, Chandra R. & Guo, Jessica Y., 2007. "A comprehensive analysis of built environment characteristics on household residential choice and auto ownership levels," Transportation Research Part B: Methodological, Elsevier, vol. 41(5), pages 506-526, June.
    7. Fang, Hao Audrey, 2008. "A discrete-continuous model of households' vehicle choice and usage, with an application to the effects of residential density," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 736-758, November.
    8. Brownstone, David & Fang, Hao (Audrey), 2014. "A vehicle ownership and utilization choice model with endogenous residential density," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 7(2), pages 135-151.
    9. Watanabe, Hajime & Maruyama, Takuya, 2023. "A Bayesian instrumental variable model for multinomial choice with correlated alternatives," Journal of choice modelling, Elsevier, vol. 46(C).
    10. Ibraeva, Anna & Correia, Gonçalo Homem de Almeida & Silva, Cecília & Antunes, António Pais, 2020. "Transit-oriented development: A review of research achievements and challenges," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 110-130.
    11. James Heckman & Justin L. Tobias & Edward Vytlacil, 2001. "Four Parameters of Interest in the Evaluation of Social Programs," Southern Economic Journal, John Wiley & Sons, vol. 68(2), pages 210-223, October.
    12. Ding, Peng, 2014. "Bayesian robust inference of sample selection using selection-t models," Journal of Multivariate Analysis, Elsevier, vol. 124(C), pages 451-464.
    13. repec:cup:cbooks:9780521747387 is not listed on IDEAS
    14. Bhat, Chandra R. & Astroza, Sebastian & Bhat, Aarti C. & Nagel, Kai, 2016. "Incorporating a multiple discrete-continuous outcome in the generalized heterogeneous data model: Application to residential self-selection effects analysis in an activity time-use behavior model," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 52-76.
    15. van Herick, David & Mokhtarian, Patricia L., 2021. "Quantifying the share of total apparent effect that is genuinely due to a treatment: A comparison of methods," Research in Transportation Economics, Elsevier, vol. 90(C).
    16. Chib, Siddhartha & Hamilton, Barton H., 2000. "Bayesian analysis of cross-section and clustered data treatment models," Journal of Econometrics, Elsevier, vol. 97(1), pages 25-50, July.
    17. De Vos, Jonas & Witlox, Frank, 2013. "Transportation policy as spatial planning tool; reducing urban sprawl by increasing travel costs and clustering infrastructure and public transportation," Journal of Transport Geography, Elsevier, vol. 33(C), pages 117-125.
    18. Sun, Hao & Wang, Hai & Wan, Zhixi, 2019. "Model and analysis of labor supply for ride-sharing platforms in the presence of sample self-selection and endogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 76-93.
    19. Hyungsik Roger Moon & Frank Schorfheide, 2012. "Bayesian and Frequentist Inference in Partially Identified Models," Econometrica, Econometric Society, vol. 80(2), pages 755-782, March.
    20. Daniel G. Chatman, 2013. "Does TOD Need the T?," Journal of the American Planning Association, Taylor & Francis Journals, vol. 79(1), pages 17-31, January.
    21. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    22. Ding, Chuan & Cao, Xinyu & Yu, Bin & Ju, Yang, 2021. "Non-linear associations between zonal built environment attributes and transit commuting mode choice accounting for spatial heterogeneity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 148(C), pages 22-35.
    23. Rainey, Carlisle & Jackson, Robert A., 2018. "Unreliable Inferences About Unobserved Processes: A Critique of Partial Observability Models," Political Science Research and Methods, Cambridge University Press, vol. 6(2), pages 381-391, April.
    24. Tran, Minh Tu & Zhang, Junyi & Chikaraishi, Makoto & Fujiwara, Akimasa, 2016. "A joint analysis of residential location, work location and commuting mode choices in Hanoi, Vietnam," Journal of Transport Geography, Elsevier, vol. 54(C), pages 181-193.
    25. Bhat, Chandra R. & Eluru, Naveen, 2009. "A copula-based approach to accommodate residential self-selection effects in travel behavior modeling," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 749-765, August.
    26. Guevara, C. Angelo, 2015. "Critical assessment of five methods to correct for endogeneity in discrete-choice models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 82(C), pages 240-254.
    27. Schwanen, Tim & Mokhtarian, Patricia L., 2005. "What if You Live in the Wrong Neighborhood? The Impact of Residential Neighborhood Type Dissonance on Distance Traveled," University of California Transportation Center, Working Papers qt5hh713d6, University of California Transportation Center.
    28. Peter E. Rossi & Greg M. Allenby, 2003. "Bayesian Statistics and Marketing," Marketing Science, INFORMS, vol. 22(3), pages 304-328, July.
    29. Cao, Xinyu & Mokhtarian, Patricia & Handy, Susan, 2008. "Examining The Impacts of Residential Self-Selection on Travel Behavior: Methodologies and Empirical Findings," Institute of Transportation Studies, Working Paper Series qt08x1k476, Institute of Transportation Studies, UC Davis.
    30. James Heckman & Justin L. Tobias & Edward Vytlacil, 2003. "Simple Estimators for Treatment Parameters in a Latent-Variable Framework," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 748-755, August.
    31. Maksym Obrizan, 2011. "A Bayesian Model of Sample Selection with a Discrete Outcome Variable: Detecting Depression in Older Adults," Discussion Papers 41, Kyiv School of Economics.
    32. Abdul Pinjari & Ram Pendyala & Chandra Bhat & Paul Waddell, 2011. "Modeling the choice continuum: an integrated model of residential location, auto ownership, bicycle ownership, and commute tour mode choice decisions," Transportation, Springer, vol. 38(6), pages 933-958, November.
    33. repec:cup:cbooks:9780521766555 is not listed on IDEAS
    34. Gustafson, Paul, 2009. "What Are the Limits of Posterior Distributions Arising From Nonidentified Models, and Why Should We Care?," Journal of the American Statistical Association, American Statistical Association, vol. 104(488), pages 1682-1695.
    35. Van de Ven, Wynand P. M. M. & Van Praag, Bernard M. S., 1981. "The demand for deductibles in private health insurance : A probit model with sample selection," Journal of Econometrics, Elsevier, vol. 17(2), pages 229-252, November.
    36. Xinyu (Jason) Cao, 2009. "Disentangling the influence of neighborhood type and self-selection on driving behavior: an application of sample selection model," Transportation, Springer, vol. 36(2), pages 207-222, March.
    37. Maria Felice Arezzo & Giuseppina Guagnano, 2018. "Response-Based Sampling for Binary Choice Models With Sample Selection," Econometrics, MDPI, vol. 6(1), pages 1-17, March.
    38. Chib, Siddhartha, 2007. "Analysis of treatment response data without the joint distribution of potential outcomes," Journal of Econometrics, Elsevier, vol. 140(2), pages 401-412, October.
    39. Arefeh Nasri & Carlos Carrion & Lei Zhang & Babak Baghaei, 2020. "Using propensity score matching technique to address self-selection in transit-oriented development (TOD) areas," Transportation, Springer, vol. 47(1), pages 359-371, February.
    40. Cao, Xinyu (Jason) & Xu, Zhiyi & Fan, Yingling, 2010. "Exploring the connections among residential location, self-selection, and driving: Propensity score matching with multiple treatments," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(10), pages 797-805, December.
    41. Handy, Susan & Cao, Xinyu & Mokhtarian, Patricia L., 2005. "Correlation or causality between the built environment and travel behavior? Evidence from Northern California," University of California Transportation Center, Working Papers qt5b76c5kg, University of California Transportation Center.
    42. Fitch, Dillon T. & Rhemtulla, Mijke & Handy, Susan L., 2019. "The relation of the road environment and bicycling attitudes to usual travel mode to school in teenagers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 123(C), pages 35-53.
    43. van Hasselt, Martijn, 2011. "Bayesian inference in a sample selection model," Journal of Econometrics, Elsevier, vol. 165(2), pages 221-232.
    44. Freedman, David A. & Sekhon, Jasjeet S., 2010. "Endogeneity in Probit Response Models," Political Analysis, Cambridge University Press, vol. 18(2), pages 138-150, April.
    45. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, November.
    46. James J. Heckman & Hedibert F. Lopes & Rémi Piatek, 2014. "Treatment Effects: A Bayesian Perspective," Econometric Reviews, Taylor & Francis Journals, vol. 33(1-4), pages 36-67, June.
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