Modelling spatio-temporal movement of tourists using finite Markov chains

Mathematics and Computers in Simulation

Volumn 79, Issue 5, 2009, Pages 1544-1553

  Zeephongsekul, Panlop ^b   Arrowsmith, Colin ^b  

^a Cecilia)   (Australia)

^b RMIT UNIVERSITY   (Australia)

Author keywords

Finite Markov chains; Modelling; Movements; Spatial and temporal; Tourists

Indexed keywords

FINITE MARKOV CHAINS; MODELLING; MOVEMENTS; SPATIAL AND TEMPORAL; TOURISTS;

MARKOV PROCESSES;

EID: 57649104915     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2008.06.007     Document Type: Article

References (30)

1. Arrowsmith C., Zanon D., and Chhetri P. Monitoring visitor patterns of use in natural tourist destinations. In: Ryan C., Page S., and Aicken M. (Eds). Taking Tourism to the Limits: Issues, Concepts and Managerial Perspectives (2005), Elsevier, The Netherlands 33-52
2. Ashtakala B., and Murthy A.S.N. Sequential models to determine intercity commodity transportation demand. Transportation Research Part A: Policy and Practice 27 (1993) 373-382
3. Batty M. Predicting where we walk. Nature 388 (1997) 19-20
4. Box G.E.P., Jenkins G.M., and Reinsel G.C. Time Series Analysis: Forecasting and Control. third edition (1994), Prentice Hall, New Jersey
5. A. Constant, K. Zimmerman, The dynamics of repeat migration: a Markov chain analysis, Centre for Comparative Immigration Studies, Working Papers, Paper wrkg 85, 2003.
6. Devore J.L. Probability and Statistics for Engineering and the Sciences. seventh edition (2008), Thomson-Brooks/Cole, Belmont, CA
7. K.E. Donnelly, Markov chains, http://www.saintjoe.edu/∼karend/m244/NBK6-1.html, 2005.
8. Dumont B., Roovers P., and Gulinck H. Estimation of off-track visits in a nature reserve: a case study in central Belgium. Landscape and Urban Planning 71 (2004) 311-321
9. Fennell D.A. A tourist space-time budget in the Shetland Islands. Annals of Tourism Research 23 (1996) 811-829
10. Forer P., and Simmons D. Analysing and mapping tourist flows (1998), Tourism, Recreation Research & Education Centre, Lincoln University, New Zealand
11. Hadley D., Grenfell R., and Arrowsmith C. Deploying location-based services for nature-based tourism in non-urban environments. Spatial Sciences Coalition Conference. Canberra (2003)
12. Haritaoglu I., Harwood D., and Davis L. W4: who, when, where, what: a real time system for detecting and tracking people. International Conference on Face and Gesture Recognition Conference. Nara, Japan (1998) 222-227
13. Hornsby K., and Egenhofer M. Modelling moving objects over multiple granularities. Annals of Mathematics and Artificial Intelligence 36 (2002) 177-194
14. Iosifescu M. Finite Markov Processes and their Applications (1980), Wiley, Chichester, New York
15. Itami R.M. RBSim3: agent-based simulations of human behaviour in GIS environments using hierarchical spatial reasoning. ModSim 2003 International Congress on Modelling and Simulation. Townsille, Australia (2003)
16. Jacquez G.M., Goovaerts P., and Rogerson P. Space-time intelligence systems: technology, applications and methods. Journal of Geographical Systems 7 (2005) 1-5
17. Kemeny J.G., and Snell J.L. Finite Markov Chains (1976), Springer-Verlag, New York
18. Kish L. Survey Sampling (1965), John Wiley, New York
19. Kuo R.J., Wang H.S., Hu T.L., and Chou S.H. Application of ant K-means on clustering analysis. Computers and Mathematics with Applications 50 (2005) 1709-1724
20. Loiterton D., and Bishop I.D. Virtual environments and location-based questioning for understanding visitor movement in urban parks and gardens. Real-time Visualisation and Participation. Dessau, Germany (2005)
21. O'Connor A., Zerger A., and Itami B. Geo-temporal tracking and analysis of tourist movement. Mathematics and Computers in Simulation 69 (2005) 135-150
22. Spitzer F. Principles of Random Walk (2001), Springer, New York
23. Stewart W.J. Introduction to the Numerical Solution of Markov Chains (1994), Princeton University Press, New Jersey
24. Timpf S. Map cube model-a model for multi-scale data. In: Poiker T.K., and Chrisman N. (Eds). 8th International Symposium on Spatial Data Handling (SDH'98), International Geographical Union. Vancouver, Canada (1998) 190-201
25. Tobler W. Movement modelling on the sphere. Geographical and Environmental Modelling 1 (1997) 97-103
26. VeriLocation, GPS Personal Tracking. http://www.verilocation.com/default.aspx, London, 2004.
27. Wang B., and Manning R.E. Computer simulation modelling for recreation management: a study on carriage road use in Acadia National Park, Maine, USA. Environmental Management 23 (1999) 193-203
28. Wang Y., Lim E.P., and Hwang S.Y. Efficient mining of group patterns from user movement data. Data & Knowledge Engineering 57 (2006) 240-282
29. Xia J., and Arrowsmith C. Managing scale issues in spatio-temporal movement of tourists modelling. MODSIM 05. Melbourne, Australia (2005)
30. Xia J., Basic F., and Arrowsmith C. Techniques for tracking movement of tourists. SSC 2005 Spatial Intelligence, Innovation and Praxis: The National Biennial Conference of the Spatial Sciences Institute. Melbourne, Australia (2005)