메뉴 건너뛰기




Volumn 102, Issue 2, 2012, Pages 350-365

Fractality and self-similarity in the structure of road networks

Author keywords

box counting; road networks; self similarity; structural fractality

Indexed keywords

ALGORITHM; COMPLEXITY; EMPIRICAL ANALYSIS; ROAD; TRANSPORTATION PLANNING; URBAN DESIGN; URBAN SYSTEM;

EID: 84863242116     PISSN: 00045608     EISSN: 14678306     Source Type: Journal    
DOI: 10.1080/00045608.2011.620505     Document Type: Article
Times cited : (49)

References (58)
  • 1
    • 32544461159 scopus 로고    scopus 로고
    • Fractals and art: In the hands of a master
    • Abbott, A. 2006. Fractals and art: In the hands of a master. Nature, 439: 648-50.
    • (2006) Nature , vol.439 , pp. 648-650
    • Abbott, A.1
  • 3
    • 0002230134 scopus 로고
    • A city is not a tree
    • Alexander, C. 1965. A city is not a tree. Architectural Forum, 122(1-2): 58-62.
    • (1965) Architectural Forum , vol.122 , Issue.1-2 , pp. 58-62
    • Alexander, C.1
  • 4
    • 84863259108 scopus 로고    scopus 로고
    • ArcMap, CA: ESRI
    • ArcMap, Version 9.2. 2006. Redlands, CA: ESRI.
    • (2006) Version 9.2 Redlands
  • 5
    • 0024484015 scopus 로고
    • The fractal theory of central place geometry: A Diophantine analysis of fractal generator for arbitrary loschian numbers
    • Arlinghaus, S. and Arlinghaus, W. C. 1989. The fractal theory of central place geometry: A Diophantine analysis of fractal generator for arbitrary loschian numbers. Geographical Analysis, 21: 103-21.
    • (1989) Geographical Analysis , vol.21 , pp. 103-121
    • Arlinghaus, S.1    Arlinghaus, W.C.2
  • 8
    • 38949116400 scopus 로고    scopus 로고
    • The size, scale, and shape of cities
    • Batty, M. 2008. The size, scale, and shape of cities. Science, 319(5864): 769-71.
    • (2008) Science , vol.319 , Issue.5864 , pp. 769-771
    • Batty, M.1
  • 9
    • 77958567926 scopus 로고    scopus 로고
    • Space, scale, and scaling in entropy-maximizing
    • Batty, M. 2010. Space, scale, and scaling in entropy-maximizing. Geographical Analysis, 42(4): 395-421.
    • (2010) Geographical Analysis , vol.42 , Issue.4 , pp. 395-421
    • Batty, M.1
  • 11
    • 0000356817 scopus 로고    scopus 로고
    • Self-organizing criticality and urban development
    • Batty, M. and Xie, Y. 1999. Self-organizing criticality and urban development. Discrete Dynamics in Nature and Society, 3(2-3): 109-214.
    • (1999) Discrete Dynamics in Nature and Society , vol.3 , Issue.2-3 , pp. 109-214
    • Batty, M.1    Xie, Y.2
  • 14
    • 0024938792 scopus 로고
    • Scale-dependence and self-similarity in cartographic lines
    • Buttenfield, B. P. 1989. Scale-dependence and self-similarity in cartographic lines. Cartographica, 26(1): 79-100.
    • (1989) Cartographica , vol.26 , Issue.1 , pp. 79-100
    • Buttenfield, B.P.1
  • 15
    • 85026865207 scopus 로고
    • Modeling a hierarchy of space applied to large road networks
    • In: Jürg N., Thomas R., Hans-Jörg S., Peter W., editors Berlin, Germany: Springer-Verlag
    • Car, A. and Frank, A. U. 1994. "Modeling a hierarchy of space applied to large road networks". In Lecture notes in computer science, Edited by: Jürg, N., Thomas, R., Hans-Jörg, S. and Peter, W. 15-24. Berlin, Germany: Springer-Verlag.
    • (1994) Lecture notes in computer science , pp. 15-24
    • Car, A.1    Frank, A.U.2
  • 16
    • 34948813868 scopus 로고    scopus 로고
    • Fractal city and urban planning
    • Chen, Y. G. 2005. [Fractal city and urban planning].[City Planning Review], 29(2): 33-41.
    • (2005) City Planning Review , vol.29 , Issue.2 , pp. 33-41
    • Chen, Y.G.1
  • 17
    • 65549085067 scopus 로고    scopus 로고
    • Power law distributions in empirical data
    • Clauset, A., Rohilla, C. and Newman, M. E. J. 2009. Power law distributions in empirical data. SIAM Review, 51(4): 661-703.
    • (2009) SIAM Review , vol.51 , Issue.4 , pp. 661-703
    • Clauset, A.1    Rohilla, C.2    Newman, M.E.J.3
  • 18
    • 0003586464 scopus 로고
    • New York: Plenum
    • Feder, J. 1988. Fractals, New York: Plenum.
    • (1988) Fractals
    • Feder, J.1
  • 21
    • 0019091538 scopus 로고
    • Fractals and the accuracy of geographical measures
    • Goodchild, M. F. 1980. Fractals and the accuracy of geographical measures. Mathematical Geology, 12(2): 85-98.
    • (1980) Mathematical Geology , vol.12 , Issue.2 , pp. 85-98
    • Goodchild, M.F.1
  • 23
    • 33747350790 scopus 로고    scopus 로고
    • Topology of the Italian airport network: A scale-free small-world network with a fractal structure?
    • Guida, M. and Maria, F. 2007. Topology of the Italian airport network: A scale-free small-world network with a fractal structure?. Chaos, Solutions & Fractals, 31(3): 527-36.
    • (2007) Chaos, Solutions & Fractals , vol.31 , Issue.3 , pp. 527-536
    • Guida, M.1    Maria, F.2
  • 24
    • 0001751103 scopus 로고
    • Dimension and outer measure
    • Hausdorff, F. 1919. Dimension and outer measure. Mathematical Annuals, 79: 157-79.
    • (1919) Mathematical Annuals , vol.79 , pp. 157-179
    • Hausdorff, F.1
  • 25
    • 79953110701 scopus 로고    scopus 로고
    • Spatial sustainability in cities: Organic patterns and sustainable forms
    • In: Koch D., Marcus L., Steen J., editors Stockholm: TRITA-ARK-Forskningspublikation
    • Hillier, B. 2009. "Spatial sustainability in cities: Organic patterns and sustainable forms". In Proceedings of the 7th International Space Syntax Symposium, Edited by: Koch, D., Marcus, L. and Steen, J. k01-k20. Stockholm: TRITA-ARK-Forskningspublikation.
    • (2009) Proceedings of the 7th International Space Syntax Symposium
    • Hillier, B.1
  • 27
    • 34547440420 scopus 로고    scopus 로고
    • Fractality and self-similarity in scale-free networks
    • Kim, J. S., Goh, K.-I., Kahng, B. and Kim, D. 2007. Fractality and self-similarity in scale-free networks. New Journal of Physics, 177 43869-1-43869-11
    • (2007) New Journal of Physics , vol.177 , pp. 1-11
    • Kim, J.S.1    Goh, K.-I.2    Kahng, B.3    Kim, D.4
  • 28
    • 0343441557 scopus 로고    scopus 로고
    • Navigation in a small world
    • Kleinberg, J. M. 2000. Navigation in a small world. Nature, 406: 845
    • (2000) Nature , vol.406 , pp. 845
    • Kleinberg, J.M.1
  • 30
    • 0026442949 scopus 로고
    • On the issues of scale, resolution, and fractal analysis in the mapping sciences
    • Lam, N. S. N. and Quattrochi, D. A. 1992. On the issues of scale, resolution, and fractal analysis in the mapping sciences. The Professional Geographer, 44(1): 88-98.
    • (1992) The Professional Geographer , vol.44 , Issue.1 , pp. 88-98
    • Lam, N.S.N.1    Quattrochi, D.A.2
  • 31
    • 0024526132 scopus 로고
    • Fractal measurement and line generalization
    • Longley, P. A. and Batty, M. 1989. Fractal measurement and line generalization. Computers and Geosciences, 15(2): 167-83.
    • (1989) Computers and Geosciences , vol.15 , Issue.2 , pp. 167-183
    • Longley, P.A.1    Batty, M.2
  • 32
    • 10844242235 scopus 로고    scopus 로고
    • Fractal dimension of a transportation network and its relationship with urban growth: A study of the Dallas-Fort Worth area
    • Lu, Y. and Tang, J. 2004. Fractal dimension of a transportation network and its relationship with urban growth: A study of the Dallas-Fort Worth area. Environment and Planning B: Planning and Design, 31(6): 895-911.
    • (2004) Environment and Planning B: Planning and Design , vol.31 , Issue.6 , pp. 895-911
    • Lu, Y.1    Tang, J.2
  • 33
    • 5444244687 scopus 로고
    • How long is the coast of Britain? Statistical self-similarity and fractal dimension
    • Mandelbrot, B. B. 1967. How long is the coast of Britain? Statistical self-similarity and fractal dimension. Science, 155(3775): 636-38.
    • (1967) Science , vol.155 , Issue.3775 , pp. 636-638
    • Mandelbrot, B.B.1
  • 35
    • 75649085702 scopus 로고    scopus 로고
    • Fractal geometry in the nucleus
    • McNally, J. G. and Mazza, D. 2010. Fractal geometry in the nucleus. The EMBO Journal, 29: 2-3.
    • (2010) The EMBO Journal , vol.29 , pp. 2-3
    • McNally, J.G.1    Mazza, D.2
  • 36
    • 0002687371 scopus 로고
    • Small-world problem
    • Milgram, S. 1967. Small-world problem. Psychology Today, 1(1): 61-67.
    • (1967) Psychology Today , vol.1 , Issue.1 , pp. 61-67
    • Milgram, S.1
  • 37
    • 0023486928 scopus 로고
    • Fractal and automated line generalization
    • Muller, J. C. 1987. Fractal and automated line generalization. The Cartographic Journal, 24(1): 27-34.
    • (1987) The Cartographic Journal , vol.24 , Issue.1 , pp. 27-34
    • Muller, J.C.1
  • 38
    • 84863297250 scopus 로고    scopus 로고
    • Beyond fractals
    • Mureika, J. R. 2007. Beyond fractals. Nature, 445: 262
    • (2007) Nature , vol.445 , pp. 262
    • Mureika, J.R.1
  • 40
    • 84863238008 scopus 로고    scopus 로고
    • Version 1.17
    • Pajek, Vladimir Batagelj and Andrej Mrvar: Slovenia
    • Pajek, Version 1.17. 2006. Vladimir Batagelj and Andrej Mrvar: Slovenia.
    • (2006)
  • 42
    • 34248009612 scopus 로고
    • Contacts and influence
    • Pool, I. D. S. and Kochen, M. 1978. Contacts and influence. Social Networks, 1(1): 5-51.
    • (1978) Social Networks , vol.1 , Issue.1 , pp. 5-51
    • Pool, I.D.S.1    Kochen, M.2
  • 43
    • 0001650381 scopus 로고
    • The problem of contiguity: An appendix of statistics of deadly quarrels
    • Richardson, L. F. 1961. The problem of contiguity: An appendix of statistics of deadly quarrels. General Systems Yearbook, 6: 139-87.
    • (1961) General Systems Yearbook , vol.6 , pp. 139-187
    • Richardson, L.F.1
  • 49
    • 13444263410 scopus 로고    scopus 로고
    • Self-similarity of complex networks
    • Song, C. M., Havlin, S. and Makse, H. A. 2005. Self-similarity of complex networks. Nature, 433: 392-95.
    • (2005) Nature , vol.433 , pp. 392-395
    • Song, C.M.1    Havlin, S.2    Makse, H.A.3
  • 50
    • 33645780366 scopus 로고    scopus 로고
    • Origins of fractality in the growth of complex networks
    • Song, C. M., Havlin, S. and Makse, H. A. 2006. Origins of fractality in the growth of complex networks. Natural Physics, 2: 275-81.
    • (2006) Natural Physics , vol.2 , pp. 275-281
    • Song, C.M.1    Havlin, S.2    Makse, H.A.3
  • 52
    • 13444260912 scopus 로고    scopus 로고
    • Complex systems: Romanesque networks
    • Strogatz, S. H. 2005. Complex systems: Romanesque networks. Nature, 433: 365-66.
    • (2005) Nature , vol.433 , pp. 365-366
    • Strogatz, S.H.1
  • 53
    • 33646133987 scopus 로고    scopus 로고
    • Bending the axial line: Smoothly continuous road centre-line segments as a basis for road network analysis
    • ed. J. Hanson, London: University College London
    • Thomson, R. C. 2003. Bending the axial line: Smoothly continuous road centre-line segments as a basis for road network analysis. In Proceedings of the 4th Space Syntax International Symposium, ed. J. Hanson, Vol. 2, 50.01-50.10. London: University College London
    • (2003) Proceedings of the 4th Space Syntax International Symposium , vol.2 , pp. 01-50
    • Thomson, R.C.1
  • 54
    • 0012366809 scopus 로고    scopus 로고
    • The "good continuation" principle of perceptual organization applied to the generalization of road networks
    • ed. C. Peter Keller, Ottawa, Canada: International Cartographic Association
    • Thomson, R. C. and Richardson, D. 1999. The "good continuation" principle of perceptual organization applied to the generalization of road networks. In Proceedings of the 19th International Cartographic Conference, ed. C. Peter Keller, Vol. 2, 1215-23. Ottawa, Canada: International Cartographic Association
    • (1999) Proceedings of the 19th International Cartographic Conference , vol.2 , pp. 1215-1223
    • Thomson, R.C.1    Richardson, D.2
  • 55
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of "small-world" networks
    • Watts, D. J. and Strogatz, S. H. 1998. Collective dynamics of "small-world" networks. Nature, 393: 440-42.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 56
    • 0033522952 scopus 로고    scopus 로고
    • The fourth dimension of life: Fractal geometry and allometric scaling of organisms
    • West, G. B., Brown, J. H. and Enquist, B. J. 1999. The fourth dimension of life: Fractal geometry and allometric scaling of organisms. Science, 284(5420): 1677-79.
    • (1999) Science , vol.284 , Issue.5420 , pp. 1677-1679
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 57
    • 84863235296 scopus 로고    scopus 로고
    • Application of extended fractal dimension in map generalization
    • Wu, H. H. 2010. [Application of extended fractal dimension in map generalization]. [Science of Surveying and Mapping], 35(4): 10-13.
    • (2010) Science of Surveying and Mapping , vol.35 , Issue.4 , pp. 10-13
    • Wu, H.H.1
  • 58
    • 33244476082 scopus 로고    scopus 로고
    • Self-similar scale-free networks and disassortativity
    • Yook, S. H., Radicchi, F. and Meyer-Ortmanns, H. 2005. Self-similar scale-free networks and disassortativity. Physical Review E, 72(4) 045015-1-045015-4
    • (2005) Physical Review E , vol.72 , Issue.4 , pp. 1-4
    • Yook, S.H.1    Radicchi, F.2    Meyer-Ortmanns, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.