Truncated Lévy flights and agenda-based mobility are useful for the assessment of personal human exposure

Environmental Pollution

Volumn 159, Issue 8-9, 2011, Pages 2061-2070

  Schlink, Uwe ^a   Ragas, Ad M J ^b,c  

^a HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

^b RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^c OPEN UNIVERSITY OF THE NETHERLANDS   (Netherlands)

Author keywords

Cumulated exposure; Human agenda; Human exposure modelling; L vy flights; Mobility modelling; Random walk

Indexed keywords

COMPARATIVE EVALUATIONS; CUMULATED EXPOSURE; ERGODICS; HUMAN AGENDA; HUMAN EXPOSURES; HUMAN MOBILITY; INDIVIDUAL-BASED MODELS; INTERCOMPARISONS; MOBILITY MODEL; PERFORMANCE CRITERION; PERSONAL EXPOSURES; RANDOM WALK; REFERENCE POINTS; URBAN AREAS;

AIR QUALITY; ALGORITHMS; BENZENE; RANDOM PROCESSES;

COMPUTER SIMULATION;

BENZENE; NONANE;

ALGORITHM; ANTHROPOGENIC EFFECT; ASSESSMENT METHOD; ATMOSPHERIC POLLUTION; BEHAVIORAL RESPONSE; COMPARATIVE STUDY; NUMERICAL MODEL; POLLUTION EXPOSURE; RANDOM WALK METHOD;

AIR POLLUTION; ARTICLE; CONTROLLED STUDY; ENVIRONMENTAL EXPOSURE; GAIT; LEG MOVEMENT; MATHEMATICAL COMPUTING; PHYSICAL MOBILITY; SIMULATION; TASK PERFORMANCE; URBAN AREA; WALKING;

AIR MOVEMENTS; AIR POLLUTANTS; AIR POLLUTION; BENZENE; ENVIRONMENTAL EXPOSURE; HUMANS; MODELS, BIOLOGICAL; MODELS, CHEMICAL; RISK ASSESSMENT; RUNNING;

EID: 79958796332     PISSN: 02697491     EISSN: 18736424     Source Type: Journal    
DOI: 10.1016/j.envpol.2011.02.023     Document Type: Article

References (38)

1. Bai, F., Helmy, A., 2004. A survey of mobility modelling and analysis in Wireless Adhoc Networks. In: Wireless Ad Hoc and SensorNetworks. Kluwer Academic Publishers.
2. Barabási, A.L., 2005. The origin of bursts and heavy tails in human dynamics. Nature 435, 207-211.
3. Bartumeus, F., et al., 2002. Optimizing the encounter rate in biological interactions: Lévy versus Brownian strategies. Phsical Review Letters 88, 097901.
4. Bartumeus, F., da Luz, M.G.E., Viswanathan, G.M., Catalan, J., 2005. Animal search strategies: a quantitative random-walk analysis. Ecology 86, 3078-3087.
5. Batschelet, E., 1981. Circular Statistics in Biology. Academic Press, New York, New York, USA.
6. Beckx, C., Int Panis, L., Arentze, T., Janssens, D., Torfs, R., Broekx, S., Wets, G., 2009. A dynamic activity-based population modelling approach to evaluate exposure to air pollution: methods and application to a Dutch urban area. Environmental Impact Assessment Review 29, 179-185.
7. Benhamou, S., 2006. Detecting an orientation component in animal paths when the preferred direction is individual-dependent. Ecology 87 (2), 518-528. (Pubitemid 43363707)
8. Brockmann, D.D., Hufnagel, L., Geisel, T., 2006. The scaling laws of human travel. Nature 439, 462-465. (Pubitemid 43152835)
9. Buchanan, M., 2008. Ecological modelling: the mathematical mirror to animal nature. Nature 453, 714-716. (Pubitemid 351793760)
10. Byers, J.A., 2001. Correlated random walk equations of animal dispersal resolved by simulation. Ecology 82, 1680-1690. (Pubitemid 32614640)
11. Cain, M.L., 1985. Random search by herbivorous insects in a simulation model. Ecology 66, 876-888. (Pubitemid 16280015)
12. Corburn, J., 2007. Urban land use, air toxics and public health: assessing hazardous exposures at the neighbourhood scale. Environmental Impact Assessment Review 27, 145-160. (Pubitemid 46138143)
13. Gokhale, S., Kohajda, T., Schlink, U., 2008. Source apportionment of human personal exposure to volatile organic compounds in homes, offices and outdoors by chemical mass balance and genetic algorithm receptor models. Science of the Total Environment 407, 122-138.
14. González, M.C., Barabási, A.L., 2007. Complex networks: from data to models. Nature Physics 3, 224-225.
15. González, M.C., Hidalgo, C.A., Barabási, A.L., 2008. Understanding individual human mobility patterns. Nature 453, 779-782.
16. Gupta, H.M., Campanha, J.R., 2000. The gradually truncated Lévy flight: stochastic process for complex systems. Physica A 275, 531-543. (Pubitemid 30531033)
17. Haefner, J.W., Crist, T.O., 1994. Spatial model of movement and foraging in harvester ants (pogonomyrex) (i): the role of memory and communication. Journal of Theoretical Biology 166, 299-313. (Pubitemid 24095571)
18. Hertel, O., Jensen, S.S., Andersen, H.V., Palmgren, F., Wåhlin, P., Skov, H., Nielsen, I.V., Sørensen, M., Loft, S., Raaschou-Nielsen, O., 2001. Human exposure to traffic pollution - experience fromDanish studies. Pure and Applied Chemistry 73 (1),137-145.
19. Hidalgo, C.A., Rodriguez-Sickert, C., 2008. The dynamics of a mobile phone network. Physica A 387, 3017-3024.
20. Humphries, N.E., Queiroz, N., Dyer, J.R.M., et al., 2010. Environmental context explains Lévy and Brownian movement patterns of marine predators. Nature 465, 1066-1069.
21. Kousa, A., Kukkonen, J., Karppinen, A., AArnio, P., Koskentalo, T., 2002. A model for evaluating the population exposure to ambient air pollution in an urban area. Atmospheric Environment 36, 2109-2119. (Pubitemid 34632589)
22. Lai, H.K., Kendall, M., Ferrier, H., Lindup, I., Alm, S., Hänninen, O., Jantunen, M., Mathys, P., Colvile, R., Ashmore, M.R., Cullinan, P., Nieuwenhuijsen, M.J., 2004. Personal exposures and microenvironment concentrations of PM2.5, VOC, NO2 and CO in Oxford, UK. Atmospheric Environment 38, 6399-6410. (Pubitemid 39445680)
23. Liang, B., Haas, Z.J., 2003. Predictive distance-based mobility management for multidimensional PCS networks. IEEE/ACM Transactions on Networking 11 (5), 718-732.
24. Mandelbrot, B.B., 1977. Fractals: Form, Chance and Dimension. Freeman, San Francisco, USA.
25. McNally, M.G., 2000. The Activity-based Approach. Center for Activity Systems Analysis Paper UCI-ITS-AS-WP-00-4. University of California. http://repositories.cdlib.org/itsirvine/casa/UCI-ITS-AS-WP-00-4.
26. Pantaleo, E., Facchi, P., Pascazio, S., 2009. Simulations of Lévy flights. Physica Scripta T135, 014036. doi:10.1088/0031-8949/2009/T135/014036.
27. Rehwagen, M., Schlink, U., Herbarth, O., 2003. Seasonal cycle of VOCs in apartments. Indoor Air 13, 283-291. (Pubitemid 37465476)
28. Reynolds, A.M., Rhodes, C.J., 2009. The Lévy flight paradigm: random search patterns and mechanisms. Ecology 90 (4), 877-887.
29. Schlink, U., Rehwagen, M., Damm, M., Richter, M., Borte, M., Herbarth, O., 2004. Seasonal cycle of indoor-VOCs: comparison of apartments and cities. Atmospheric Environment 38, 1181-1190. (Pubitemid 38169443)
30. Schlink, U., Strebel, K., Loos, M., Tuchscherer, R., Richter, M., Lange, T., Wernicke, J., Ragas, A., 2010. Evaluation of human mobility models for exposure to air pollutants. Science of the Total Environment 408, 3918-3930.
31. Shlesinger, M.F., Zaslavsky, G., Frisch, U. (Eds.), 1995. Lévy Flights and Related Topics in Physics. Springer-Verlag, Berlin, Germany.
32. Sims, D.W., Righton, D., Pitchford, J.W., 2007. Minimizing errors in identifying Lévy flight behaviour of organisms. Journal of Animal Ecology 76, 222-229.
33. Song, C., Qu, Z., Blumm, N., Barabási, A.L., 2010. Limits of predictability in human mobility. Science 327, 1018-1021; doi: 10.1126/science.1177170.
34. Son, B., Breysse, P., Yang, W., 2003. Volatile organic compounds concentrations in residential indoor and outdoor and its personal exposure in Korea. Environment International 29, 79-85. (Pubitemid 36336299)
35. Viswanathan, G.M., Buldyrev, S.V., Havlin, S., da Luz, M.G.E., Raposo, E.P., Stanley, H.E., 1999. Optimizing the success of random searches. Nature 401, 911-914.
36. Viswanathan, G.M., Raposo, E.P., da Luz, M.G.E., 2008. Lévy flights and superdiffusion in the context of biological encounters and random searches. Physics of Life Reviews 5, 133-150.
37. Viswanathan, G.M., 2010. Fish in Lévy-flight foraging. Nature 465, 1018-1019.
38. Zollner, P.A., Lima, S.L., 1999. Search strategies for landscape-level interpatch movements. Ecology 80, 1019-1030.