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Systematic comparison of trip distribution laws and models

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  • Lenormand, Maxime
  • Bassolas, Aleix
  • Ramasco, José J.

Abstract

Trip distribution laws are basic for the travel demand characterization needed in transport and urban planning. Several approaches have been considered in the last years. One of them is the so-called gravity law, in which the number of trips is assumed to be related to the population at origin and destination and to decrease with the distance. The mathematical expression of this law resembles Newton's law of gravity, which explains its name. Another popular approach is inspired by the theory of intervening opportunities which argues that the distance has no effect on the destination choice, playing only the role of a surrogate for the number of intervening opportunities between them. In this paper, we perform a thorough comparison between these two approaches in their ability at estimating commuting flows by testing them against empirical trip data at different scales and coming from different countries. Different versions of the gravity and the intervening opportunities laws, including the recently proposed radiation law, are used to estimate the probability that an individual has to commute from one unit to another, called trip distribution law. Based on these probability distribution laws, the commuting networks are simulated with different trip distribution models. We show that the gravity law performs better than the intervening opportunities laws to estimate the commuting flows, to preserve the structure of the network and to fit the commuting distance distribution although it fails at predicting commuting flows at large distances. Finally, we show that the different approaches can be used in the absence of detailed data for calibration since their only parameter depends only on the scale of the geographic unit.

Suggested Citation

  • Lenormand, Maxime & Bassolas, Aleix & Ramasco, José J., 2016. "Systematic comparison of trip distribution laws and models," Journal of Transport Geography, Elsevier, vol. 51(C), pages 158-169.
    • Handle: RePEc:eee:jotrge:v:51:y:2016:i:c:p:158-169
    DOI: 10.1016/j.jtrangeo.2015.12.008
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    1. Thomas, T. & Tutert, S.I.A., 2013. "An empirical model for trip distribution of commuters in The Netherlands: transferability in time and space reconsidered," Journal of Transport Geography, Elsevier, vol. 26(C), pages 158-165.
    2. Maxime Lenormand & Guillaume Deffuant, 2013. "Generating a Synthetic Population of Individuals in Households: Sample-Free Vs Sample-Based Methods," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(4), pages 1-12.
    3. Jacob J de Vries & Peter Nijkamp & Piet Rietveld, 2009. "Exponential or Power Distance-Decay for Commuting? An Alternative Specification," Environment and Planning A, , vol. 41(2), pages 461-480, February.
    4. Floriana Gargiulo & Maxime Lenormand & Sylvie Huet & Omar Baqueiro Espinosa, 2012. "Commuting Network Models: Getting the Essentials," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 15(2), pages 1-6.
    5. Chen, Yanguang, 2015. "The distance-decay function of geographical gravity model: Power law or exponential law?," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 174-189.
    6. Daniel Griffith, 2009. "Modeling spatial autocorrelation in spatial interaction data: empirical evidence from 2002 Germany journey-to-work flows," Journal of Geographical Systems, Springer, vol. 11(2), pages 117-140, June.
    7. Oleguer Sagarra & Michael Szell & Paolo Santi & Albert Díaz-Guilera & Carlo Ratti, 2015. "Supersampling and Network Reconstruction of Urban Mobility," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-15, August.
    8. Jan Rouwendal & Peter Nijkamp, 2004. "Living in Two Worlds: A Review of Home‐to‐Work Decisions," Growth and Change, Wiley Blackwell, vol. 35(3), pages 287-303, September.
    9. Filippo Simini & Marta C. González & Amos Maritan & Albert-László Barabási, 2012. "A universal model for mobility and migration patterns," Nature, Nature, vol. 484(7392), pages 96-100, April.
    10. Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-481, August.
    11. Filippo Simini & Amos Maritan & Zoltán Néda, 2013. "Human Mobility in a Continuum Approach," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-8, March.
    12. Siaw Akwawua & James A. Pooler, 2001. "The development of an intervening opportunities model with spatial dominance effects," Journal of Geographical Systems, Springer, vol. 3(1), pages 69-86, May.
    13. Yu Liu & Zhengwei Sui & Chaogui Kang & Yong Gao, 2014. "Uncovering Patterns of Inter-Urban Trip and Spatial Interaction from Social Media Check-In Data," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-11, January.
    14. Carey, Henry Charles, 1858. "Principle of social science," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number carey1858.
    15. Lenormand, Maxime & Huet, Sylvie & Gargiulo, Floriana, 2014. "Generating French virtual commuting networks at the municipality level," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 7(1), pages 43-55.
    16. Morton Schneider, 1959. "Gravity Models And Trip Distribution Theory," Papers in Regional Science, Wiley Blackwell, vol. 5(1), pages 51-56, January.
    17. Yihui Ren & Mária Ercsey-Ravasz & Pu Wang & Marta C. González & Zoltán Toroczkai, 2014. "Predicting commuter flows in spatial networks using a radiation model based on temporal ranges," Nature Communications, Nature, vol. 5(1), pages 1-9, December.
    18. T J Fik & G F Mulligan, 1990. "Spatial Flows and Competing Central Places: Towards a General Theory of Hierarchical Interaction," Environment and Planning A, , vol. 22(4), pages 527-549, April.
    19. Daniel A. Griffith, 2009. "Spatial Autocorrelation in Spatial Interaction," Advances in Spatial Science, in: Aura Reggiani & Peter Nijkamp (ed.), Complexity and Spatial Networks, chapter 0, pages 221-237, Springer.
    20. Andrea De Montis & Marc Barthélemy & Alessandro Chessa & Alessandro Vespignani, 2007. "The Structure of Interurban Traffic: A Weighted Network Analysis," Environment and Planning B, , vol. 34(5), pages 905-924, October.
    21. De Montis, Andrea & Chessa, Alessandro & Campagna, Michele & Caschili, Simone & Deplano, Giancarlo, 2010. "Modeling commuting systems through a complex network analysis: A study of the Italian islands of Sardinia and Sicily," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 2(3), pages 39-55.
    22. Maxime Lenormand & Sylvie Huet & Floriana Gargiulo & Guillaume Deffuant, 2012. "A Universal Model of Commuting Networks," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-7, October.
    23. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
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    9. Javier Rubio-Herrero & Jesús Muñuzuri, 2023. "Sparse regression for data-driven deterrence functions in gravity models," Annals of Operations Research, Springer, vol. 323(1), pages 153-174, April.
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