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Volumn 22, Issue 4, 2004, Pages 793-805

Multi-fractal measures of city-size distributions based on the three-parameter Zipf model

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER GRAPHICS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POPULATION STATISTICS;

EID: 2442563863     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.02.059     Document Type: Article
Times cited : (54)

References (33)
  • 2
    • 0022178811 scopus 로고
    • Fractals take a central place
    • Arlinghaus S.L. Fractals take a central place. Geograpfiska Annaler. 67B:1985;83-88.
    • (1985) Geograpfiska Annaler , vol.67 B , pp. 83-88
    • Arlinghaus, S.L.1
  • 3
    • 0003293343 scopus 로고
    • Cities as fractals: Simulating growth and form
    • A.J. Crilly, R.A. Earnshaw, & H. Jones. New York: Springer-Verlag
    • Batty M. Cities as fractals: simulating growth and form. Crilly A.J., Earnshaw R.A., Jones H. Fractals and Chaos. 1991;43-69 Springer-Verlag, New York.
    • (1991) Fractals and Chaos , pp. 43-69
    • Batty, M.1
  • 5
    • 84881771140 scopus 로고
    • City hierarchies and distribution of city size
    • Beckmann M.J. City hierarchies and distribution of city size. Economic Develop. Cult. Change. 6:1958;243-248.
    • (1958) Economic Develop. Cult. Change , vol.6 , pp. 243-248
    • Beckmann, M.J.1
  • 9
    • 0035510912 scopus 로고    scopus 로고
    • A study of multifractals measures of the spatial structure of the urban system in Central Plains
    • in Chinese
    • Chen Y.G., Zhou Y.X. A study of multifractals measures of the spatial structure of the urban system in Central Plains. Acta Scientiarum Naturalium Universitatis Pekinensis. 37(6):2001;810-818. (in Chinese).
    • (2001) Acta Scientiarum Naturalium Universitatis Pekinensis , vol.37 , Issue.6 , pp. 810-818
    • Chen, Y.G.1    Zhou, Y.X.2
  • 10
    • 31244438332 scopus 로고    scopus 로고
    • Derivations of fractal models of city hierarchies using entropy-maximization principle
    • Chen Y.G., Liu J.S. Derivations of fractal models of city hierarchies using entropy-maximization principle. Prog. Natural Sci. 12:2002;208-211.
    • (2002) Prog. Natural Sci. , vol.12 , pp. 208-211
    • Chen, Y.G.1    Liu, J.S.2
  • 11
    • 0347022689 scopus 로고    scopus 로고
    • The rank-size rule and fractal hierarchies of cities: Mathematical models and empirical analyses
    • Chen Y.G., Zhou Y.X. The rank-size rule and fractal hierarchies of cities: mathematical models and empirical analyses. Environ. Planning B: Planning Des. 30:2003;799-818.
    • (2003) Environ. Planning B: Planning Des. , vol.30 , pp. 799-818
    • Chen, Y.G.1    Zhou, Y.X.2
  • 12
    • 35949010692 scopus 로고
    • Direct determination of the f(α) singularity spectrum
    • Chhabra A., Jensen R.V. Direct determination of the. f(α) singularity spectrum Phys. Rev. Lett. 62:1989;1327-1330.
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1327-1330
    • Chhabra, A.1    Jensen, R.V.2
  • 14
    • 0347313888 scopus 로고
    • World urbanization: 1950-1970
    • L.S. Bourne, & J.W. Simmons. New York: Oxford University Press
    • Davis K. World urbanization: 1950-1970. Bourne L.S., Simmons J.W. Systems of cities. 1978;92-100 Oxford University Press, New York.
    • (1978) Systems of Cities , pp. 92-100
    • Davis, K.1
  • 15
    • 0003586464 scopus 로고
    • New York: Plenum Press
    • Feder J. Fractals. 1988;Plenum Press, New York.
    • (1988) Fractals
    • Feder, J.1
  • 17
    • 0028409055 scopus 로고
    • The rank-size distribution of settlements as a dynamic multifractal phenomenon
    • Haag G. The rank-size distribution of settlements as a dynamic multifractal phenomenon. Chaos, Solitons & Fractals. 4(4):1994;519-534.
    • (1994) Chaos, Solitons & Fractals , vol.4 , Issue.4 , pp. 519-534
    • Haag, G.1
  • 18
    • 0003442373 scopus 로고
    • New York: McGraw-Haw
    • Hamming R.W. Numerical methods for scientists and engineers. 1962;McGraw-Haw, New York. Quoted from van der Leeuw S., McGlade J. Time, process and structured transformation in archaeology. 1997;Routledge, London and New York.
    • (1962) Numerical Methods for Scientists and Engineers
    • Hamming, R.W.1
  • 20
    • 0024473972 scopus 로고
    • An allmetric analysis of the US urban system: 1960-80
    • Lee Y. An allmetric analysis of the US urban system: 1960-80. Environ. Planning A. 21:1989;463-476.
    • (1989) Environ. Planning A , vol.21 , pp. 463-476
    • Lee, Y.1
  • 21
    • 0004200838 scopus 로고
    • New York/Oxford: Pergamon Press
    • Neumann J von. Collected works, vol. 6. New York/Oxford: Pergamon Press; 1961.
    • (1961) Collected Works , vol.6
    • Von Neumann, J.1
  • 24
    • 0039960780 scopus 로고
    • Chaotic dynamics, Markov partitions, and Zipf's law
    • Nicolis G., Nicolis C., Nicolis J. Chaotic dynamics, Markov partitions, and Zipf's law. J. Statistical Phys. 54:1989;915-924.
    • (1989) J. Statistical Phys. , vol.54 , pp. 915-924
    • Nicolis, G.1    Nicolis, C.2    Nicolis, J.3
  • 26
    • 0028407133 scopus 로고
    • Dynamics of emergent urban hierarchy
    • Rosser J.B. Jr. Dynamics of emergent urban hierarchy. Chaos, Solitons & Fractals. 4(4):1994;553-561.
    • (1994) Chaos, Solitons & Fractals , vol.4 , Issue.4 , pp. 553-561
    • Rosser Jr., J.B.1
  • 27
    • 0028571314 scopus 로고
    • Cellular dynamics and GIS: Modeling spatial complexity
    • White R., Engelen G. Cellular dynamics and GIS: modeling spatial complexity. Geographic. Syst. 1:1993;237-253.
    • (1993) Geographic. Syst. , vol.1 , pp. 237-253
    • White, R.1    Engelen, G.2
  • 28
    • 0028665510 scopus 로고
    • Urban systems dynamics and cellular automata: Fractal structures between order and chaos
    • White R., Engelen G. Urban systems dynamics and cellular automata: fractal structures between order and chaos. Chaos, Solitons & Fractals. 4(4):1994;563-583.
    • (1994) Chaos, Solitons & Fractals , vol.4 , Issue.4 , pp. 563-583
    • White, R.1    Engelen, G.2
  • 29
    • 2442529472 scopus 로고
    • Energy flow and spatial order: Mixed hexagonal hierarchies of central places
    • Woldenberg M.J. Energy flow and spatial order: mixed hexagonal hierarchies of central places. Geographic. Rev. 58(4):1968;552-574.
    • (1968) Geographic. Rev. , vol.58 , Issue.4 , pp. 552-574
    • Woldenberg, M.J.1
  • 30
    • 0025525032 scopus 로고
    • Urban systems as examples of bounded chaos: Exploring the relationship between fractal dimension, rank-size, and rural to urban migration
    • Wong D., Fotheringham A.S. Urban systems as examples of bounded chaos: exploring the relationship between fractal dimension, rank-size, and rural to urban migration. Geografiska Annaler B. 72:1990;89-99.
    • (1990) Geografiska Annaler B , vol.72 , pp. 89-99
    • Wong, D.1    Fotheringham, A.S.2
  • 31
    • 0000709117 scopus 로고    scopus 로고
    • Role of intermittency in urban development: A model of large-scale city formation
    • Zanette D., Manrubia S. Role of intermittency in urban development: a model of large-scale city formation. Phys. Rev. Lett. 79(3):1997;523-526.
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.3 , pp. 523-526
    • Zanette, D.1    Manrubia, S.2
  • 32
    • 0004165688 scopus 로고
    • [in Chinese]. Beijing: Shangwu Publishing House
    • Zhou Y.X. Urban geography. [in Chinese]:1995;Shangwu Publishing House, Beijing.
    • (1995) Urban Geography
    • Zhou, Y.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.