SCALE-FREE NETWORK THEORY IN STUDYING THE STRUCTURE OF THE ROAD NETWORK IN POLAND

  • Katarzyna KOCUR-BERA UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN, DEPARTMENT OF GEODESY AND LAND AMANGEMENT
Keywords: transport, traffic, safety, critical points

Abstract

This paper discusses the issue of statistical analysis of traffic flow in different regions of Poland. Such analysis allows us to identify “valuable (sensitive) areas” whose damage or blockage may provoke considerable disturbances or even a stoppage of traffic flow in the examined road network. The results of the studies indicate that the road network in Poland has the properties of a scale-free network. The distribution of the examined variables does not have a normal character, whereas the relationship between the number of nodes and the number of connections is a power-law feature.

 

Author Biography

Katarzyna KOCUR-BERA, UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN, DEPARTMENT OF GEODESY AND LAND AMANGEMENT

UNIVERSITY OF WARMIA AND MAZURY IN OLSZTYN

FACULTY OF GEODESY AND LAND MANAGAMENT

DEPARTMENT OF CADASTRE AND SPATIAL MANAGEMNT

RANK: pH.d., LECTURER,

References

Albert, R., Jeong, H., Barabási, A.L.: Diameter of the world-wide web. Science 401, pp. 130-131, 1999

Erickson, B.H.: Secret societies and social structure. Social Forces, 60, pp. 188-210, 1981

Krebs, V.: Mapping networks of terrorist cells. Connections, 24, pp. 43-52, 2002

Aleksiejuk, A., Hołyst, J.A., Stauffer, D.: Transition in Barabási-Albert networks. Physica A, 310, pp.: 260-266, 2002

Latané, B.: The psychology of social impact. American Psychologist, 36, pp.: 343-356, 1981

Vallacher, R.R., Nowak, A.: Dynamical systems in social psychology. Academic Press, San Diego, 1999

Garlaschelli, D., Loffredo, M.I. : Fitness-dependent topological properties of the World Trade Web. Physical Review Letters, 93 (18): 188701, 2004

Garlaschelli, D., Loffredo, M.I. : Structure and evolution of the World Trade Network. Physica A, 355(1):138-144, 2005

Garlaschelli, D., Di Matteo T., Aste T., Caldarelli, G., Loffredo M.I. : Interplay between topology and dynamics in the World Trade Web. European Physical Journal B, 57: 159-164, 2007

Lewis, T. G.: Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation, Wiley, Aoboken, NJ, 2006

Bendyk, E.: Antymatrix. Człowiek w labiryncie sieci. Wydawnictwo W.A.B., 2004

Watts, D.J.: Small-worlds: the dynamics of networks between order and randomness. Princeton University Press, Princeton NJ, 1999

Barabási, A. L., Jeong H., Néda, Z., R., Erzsebet, S., A., Vicsek, T.: Evolution of the social network of scientific collaborations. Physica a, 311(4), pp. 590–614, 2002

Redner, S.: How popular is your paper? An empirical study of citation distribution. European Physical Journal B, 4(2), pp.131–134, 1998

Wang J., Mo H., Wang F., Jin F.: Exploring the network structure and nodal centrality of China’s air transport network: A complex network approach. Journal of Transport Geography 19, pp. 712–721, 2011.

http://dx.doi.org/10.1016/j.jtrangeo.2010.08.012

Jiang B.: Street Hierarchies: A Minority of Streets Account for a Majority of Traffic Flow. International Journal of Geographical Information Science, 23 (8), 1033-1048, 2009

Bono, F., Gutiérre, E.: A network-based analysis of the impact of structural damage on urban accessibility following a disaster: the case of the seismically damaged Port Au Prince and Carrefour urban road networks. Journal of Transport Geography 19, 1443–1455, 2011

Zhang, H., Li, Z.L.: Fractality and self-similarity in the structure of road networks. Annals of the Association of American Geographers, 102 (2), pp. 350-365, 2012

Wang, F., Antipova A., Porta S.: Street centrality and land use intensity in Baton Rouge, Louisiana. Journal of Transport Geography 19, pp. 582-293, 2011

Delling, D., Pajor, Th., Werneck, R. F.: Round-Based Public Transit Routing. Proceedings of the 14th Meeting on Algorithm Engineering and Experiments (ALENEX'12) Publisher: Society for Industrial and Applied Mathematics, 2012

Kalapala, V., Sanwalani, V., Clauset, A., Moore, C.: Scale invariance In Road Networks. Physical Review E, 73: 026130, 2006

Sienkiewicz, J., Hołyst, J. A.: Statistical analysis of 22 public transport networks in Poland. PHYSICAL REVIEW E 72, 046127, 2005, DOI: 10.1103/PhysRevE.72.046127

Główny Urząd Statystyczny, 2010. Transport – wyniki działalności w 2009 roku., Warszawa ISSN 1506-7998 (available: http://www.stat.gov.pl)

Ustawa o drogach publicznych z 21 marca 1985 roku (Dziennik Ustaw Nr 14, pozycja 60 z późniejszymi zmianami), (available at: http://isap.sejm.gov.pl/DetailsServlet?id=WDU19850140060)

Kocur-Bera, K.: Specyfika finansowania sieci drogowych. Acta Scientiarum Polonorum, Administratio Locorum, Real Estate Management, 10 (2), pp. 59-68, 2011

Fronczak, A., Fronczak, P.: Świat sieci złożonych. Od fizyki do Internetu. Wydawnictwo Naukowe PWN, 2009

Cohen, R., Erez, K., ben-Avraham, D., Havlin, S.: Resilience of the Internet to random breakdowns. Physical Review Letters, 85: 4626, 2000

Cohen, R., Erez, K., ben-Avraham, D., Havlin, S.: Breakdown of the Internet under international attack. Physical Review Letters, 86: 3682, 2001

Clauset, A., Shalizi, C.-R., Newman, M.E.J.: Power-law distributions in empirical data. SIAM Rev. 51 (4), pp. 661-703, 2009

Kocur-Bera, K.: Geoinformacja w zarządzaniu siecią transportową część 1. Acta Scientiarum Polonorum, Administratio Locorum, Real Estate Management, 9 (3), pp. 55-62, 2010.

Published
2014-06-13
How to Cite
1.
KOCUR-BERA K. SCALE-FREE NETWORK THEORY IN STUDYING THE STRUCTURE OF THE ROAD NETWORK IN POLAND. Promet [Internet]. 2014Jun.13 [cited 2024Dec.22];26(3):235-42. Available from: https://traffic.fpz.hr/index.php/PROMTT/article/view/1316
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Articles