GIScience 2016: Geographic Information Science pp 225-239 | Cite as
Modeling Checkpoint-Based Movement with the Earth Mover’s Distance
Abstract
Movement data comes in various forms, including trajectory data and checkpoint data. While trajectories give detailed information about the movement of individual entities, checkpoint data in its simplest form does not give identities, just counts at checkpoints. However, checkpoint data is of increasing interest since it is readily available due to privacy reasons and as a by-product of other data collection. In this paper we propose to use the Earth Mover’s Distance as a versatile tool to reconstruct individual movements or flow based on checkpoint counts at different times. We analyze the modeling possibilities and provide experiments that validate model predictions, based on coarse-grained aggregations of data about actual movements of couriers in London, UK. While we cannot expect to reconstruct precise individual movements from highly granular checkpoint data, the evaluation does show that the approach can generate meaningful estimates of object movements.
Keywords
Gravity Model Movement Constraint Metro Station Minimum Cost Flow True FlowReferences
- 1.Abdul-Rahman, A., Pilouk, M.: Spatial Data Modelling for 3D GIS. Springer, Heidelberg (2008)Google Scholar
- 2.Andrienko, N.V., Andrienko, G.L.: Spatial generalization and aggregation of massive movement data. IEEE Trans. Vis. Comput. Graph. 17(2), 205–219 (2011)CrossRefGoogle Scholar
- 3.Ban, X., Herring, R., Margulici, J.D., Bayen, A.M.: Optimal sensor placement for freeway travel time estimation. In: Lam, W.H.K., Wong, S.C., Lo, H.K. (eds.) (ISTTT18), pp. 697–721. Springer, New York (2009)Google Scholar
- 4.Both, A., Duckham, M., Laube, P., Wark, T., Yeoman, J.: Decentralized monitoring of moving objects in a transportation network augmented with checkpoints. Comput. J. 56(12), 1432–1449 (2013)CrossRefGoogle Scholar
- 5.Buchin, K., Speckmann, B., Verbeek, K.: Angle-restricted steiner arborescences for flow map layout. Algorithmica 72(2), 656–685 (2015)MathSciNetCrossRefMATHGoogle Scholar
- 6.Giudice, N.A., Walton, L.A., Worboys, M.: The informatics of indoor, outdoor space: a research agenda. In: Proceedings of 2nd ACM SIGSPATIAL International Workshop on Indoor Spatial Awareness, pp. 47–53 (2010)Google Scholar
- 7.Goh, M.: Congestion management and electronic road pricing in Singapore. J. Transp. Geogr. 10, 29–38 (2002)CrossRefGoogle Scholar
- 8.Greene, R.P., Pick, J.B.: Exploring the Urban Community - A GIS Approach. Prentice Hall, Upper Saddle River (2006)Google Scholar
- 9.Gudmundsson, J., Laube, P., Wolle, T.: Movement patterns in spatio-temporal data. In: Shekhar, S., Xiong, H. (eds.) Encyclopedia of GIS, pp. 726–732. Springer, Heidelberg (2008)CrossRefGoogle Scholar
- 10.Gunopulos, D., Trajcevski, G.: Similarity in (spatial, temporal and) spatio-temporal datasets. In: Proceedings of 15th International Conference on Extending Database Technology, EDBT, pp. 554–557 (2012)Google Scholar
- 11.Ho, H.W., Wong, S.C., Yang, H., Loo, B.P.Y.: Cordon-based congestion pricing in a continuum traffic equilibrium system. Transp. Res. Part A: Policy Pract. 39, 813–834 (2005)Google Scholar
- 12.Hoogendoorn, S.P., Bovy, P.H.L.: State-of-the-art of vehicular traffic flow modelling. Proc. Inst. Mech. Eng. Part I: J. Syst. Control Eng. 215(4), 283–303 (2001)CrossRefGoogle Scholar
- 13.Huff, D.: Defining, estimating a trade area. J. Market. 28, 34–38 (1964)CrossRefGoogle Scholar
- 14.Huff, D., Black, W.: The Huff model in retrospect. Appl. Geogr. Stud. 1, 83–93 (1997)CrossRefGoogle Scholar
- 15.Jeszenszky, P., Weibel, R.: Measuring boundaries in the dialect continuum. In: Proceedings of AGILE (2015)Google Scholar
- 16.Laube, P.: Computational Movement Analysis. Springer Briefs in Computer Science. Springer, Heidelberg (2014)CrossRefGoogle Scholar
- 17.Mao, B., Harrie, L., Ban, Y.: Detection and typification of linear structures for dynamic visualization of 3D city models. Comput. Environ. Urban Struct. 36, 233–244 (2012)CrossRefGoogle Scholar
- 18.Nakaya, T.: Local spatial interaction modelling based on the geographically weighted regression approach. GeoJournal 53(4), 347–358 (2001)CrossRefGoogle Scholar
- 19.Ott, T., Swiaczny, F.: Time-Integrative Geographic Information Systems. Springer, Heidelberg (2001)CrossRefGoogle Scholar
- 20.Reilly, W.J.: The Law of Retail Gravitation. Knickerbocker Press, New Rochelle (1934)Google Scholar
- 21.Rense, C., Spaccapietra, S., Zimányi, E. (eds.): Mobility Data - Modelling, Management, and Understanding. Cambridge University Press, Cambridge (2013)Google Scholar
- 22.Rodrigue, J.-P., Comtois, C., Slack, B.: The Geography of Transport Systems. Routledge, Abingdon (2006)Google Scholar
- 23.Rubner, Y., Tomasi, C., Guibas, L.J.: The earth mover’s distance as a metric for image retrieval. Int. J. Comput. Vis. 40(2), 99–121 (2000)CrossRefMATHGoogle Scholar
- 24.Simini, F., Gonález, M.C., Maritan, A., Barabázi, A.-L.: A universal model for mobility and migration patterns. Nature 484, 96–100 (2012)CrossRefGoogle Scholar
- 25.Wang, J., Duckham, M., Worboys, M.: A framework for models of movement in geographic space. Int. J. Geogr. Inf. Sci. 30, 970–992 (2016)CrossRefGoogle Scholar
- 26.Wood, J.: Visualizing personal progress in participatory sports cycling events. IEEE Comput. Graph. Appl. 35(4), 73–81 (2015)CrossRefGoogle Scholar
- 27.Wood, J., Dykes, J., Slingsby, A.: Visualisation of origins, destinations and flows with OD maps. Cartographic J. 47(2), 117–129 (2010)CrossRefGoogle Scholar
- 28.Zhang, X., Yang, H.: The optimal cordon-based network congestion pricing problem. Transp. Res. Part B: Methodological 38, 517–537 (2004)CrossRefGoogle Scholar
- 29.Zheng, Y., Zhou, X. (eds.): Computing with Spatial Trajectories. Springer, Heidelberg (2011)Google Scholar