Urbanization as phase transition and self-organized critical process
Received date: 2003-11-13
Revised date: 2004-02-13
Online published: 2004-06-15
This paper discusses the property and marks of urbanization as a self organizing process, which can be thought of as a kind of phase transition from a rural to an urban settlement system. Several empirical observations including fractal structure and rank size distribution can be used to identify the self organized criticality (SOC) of urbanization dynamics. Fractal structure such as central place landscapes in spatial field and the rank size distribution associated with Zipf ’s law in hierarchical field always ‘emerge ’ while urban systems in a region approach to the self organized critical state of urbanism. The central place hierarchy can be characterized with a set of scaling laws as follows: N m=N 1r m-1 n,P m=P 1r 1-m m,A m=A 1r 1-m a . From these exponential scaling laws, we can derive the power laws such as the three parameter Zipf law, P(r)=C(r-ζ) -d , and the law of allometric growth, A m=ηP b m .The exponential distribution indicates random process, while the power law implies some order in complex systems, but we find the unity of opposites between order and chaos of urban systems through the derivation of power laws from the exponential type scaling laws. Moreover, this means that the spatial network of central places and the hierarchical structure of city size distribution reach the same goal by different routes. This in fact corroborates the viewpoint that both the urban hierarchy and spatial network represent the different sides of the same coin. The self organized networks of cities usually become scale free because of the dynamics of urbanization. The map of the urban network patterns in hierarchical field is just the rank size distribution, which appears in the larger picture, not at the level of an individual city. Once the distribution forms, it will become very stable over a long period of time. The formation of the scale free network of cities associated with the rank size distribution is an information rich evolution, which can be simulated using cellular automata (CA) models, cellular space (CS) model, multi agent system (MAS), and so on. Simulation as an experimental tool may be very useful for us to research spatial complication proceeding from urbanization dynamics. However, the simulation based on computer graphics doesn't help us conceptually in understanding the rules of behavior of urban systems at the higher level. As a complement, post modern mathematical theory esp. fractal geometry, chaos mathematics, renormalization group, etc., will play a significant role in the studies of self organizing urbanization.
CHEN Yan guang . Urbanization as phase transition and self-organized critical process[J]. GEOGRAPHICAL RESEARCH, 2004 , 23(3) : 301 -311 . DOI: 10.11821/yj2004030003
[1] Allen P M.Cities and Regions as Self-Organizing Systems:Models of Complexity.Amsterdam:Gordon and Breach Sci-ence Pub.1997.
[2] 王放,李后强.非线性人口学导论.成都:四川大学出版社,1995.93～114.
[3] Portugali J.Self-Organization and t he City.Berlin:Springer-Verlag,2000.
[4] Waldrop M1陈玲译.复杂:诞生于秩序和混沌边缘的科学.北京:生活读书新知三联书店,1998.310～328.
[5] Sanders L,Pumain D,Mat hian H,et al.SIMPOP:a mulitiagent system for t he study of urbanism.Environment andPlanning B:Planning and Design,1997,24(2):287～305.
[6] Andersson C,Rasmussen S,White R.Urban settlement transitions.Environment and Planning B:Planning and De-sign,2002,29:841～865.
[7] 郝柏林.复杂性的刻画与“复杂性科学”.科学,1999,51(3):3～8.
[8] Leeuw S,Mc Glade J(Eds.).Time,Process and Structured Transformation in Archaeology.London and New York:Routledge,1997.
[9] Bertuglia C S,Bianchi G,Mela A(Eds.).The City and Its Sciences.Heidelberg:Physica-Verlag,1998.
[10] Wilson A G.Complex Spatial Systems:The Modelling Foundations of Urban and Regional Analysis.Singapore:PearsonEducation Asia Pte Ltd.,2000.
[11] Bossomaier T,Green D.陈禹,等译.沙地上的图案:计算机、复杂和生命.南昌:江西教育出版社,1999.11.
[12] 周一星.城市地理学.北京:商务印书馆,19991
[13] Allen P M.Self-organization in the urban system.In:Schieve W C,Allen P M(Eds.).Self-Organization and Dissipative Struc-tures:Applications in the Physical and Social Sciences.Austin:Universit y of Texas Press,19821142～1461
[14] Haken H.凌复华译.协同学———大自然构成的奥秘.上海:上海译文出版社,2001.
[15] Prigogine I,Stengers I.曾庆宏,沈小峰译.从混沌到有序———人与自然的新对话.上海:上海译文出版社,1987.
[16] Prigogine I,Allen P M.The challenge of complexity.In:Schieve W C,Allen P M(Eds1).Self2Organization and DissipativeStructures:Applications in the Physical and Social Sciences.Austin:Universit y of Texas Press,1982128-
[17] Haken H.A synergetic approach to t he self-organization of cities and settlements.Environment and Planning B:Plan-ning and Design,1995,22(1):35～46.
[18] 陈彦光,靳军.地理学基础理论研究的方法变革及其发展前景.干旱区地理,2003,26(2):97～102.
[19] Kauff man S.At Home in t he Universe:t he Search for Laws of Self2Organization and Complexity.New York:OxfordUniversity Press,1995.
[20] Bak P.李炜,蔡勖译.大自然如何工作———有关自组织临界性的科学.武汉:华中师范大学出版社,2001.
[21] Feder J.Fractals.New York:Plenum Press,1988.
[22] Peitgen H2O,Saupe D(Eds).The Science of Fractal Images.New York:Springer2Verlag,19881
[23] Mandelbrot B B1陈守吉,凌复华译.大自然的分形几何学.上海:上海远东出版社,19981
[24] Batt y M,Longley P A.Fractal Cities:A Geometry of Form and Function.London:Academic Press,1994
[25] 刘继生,陈彦光.城镇体系空间结构的分形维数及其测算方法.地理研究,1999,18(2):171～178
[26] 陈彦光,周一星.城市等级体系的多重Zipf维数及其地理空间意义.北京大学学报(自然科学版),2002,38(6):823～830
[27] 陈彦光.城市体系Koch雪花模型的实证研究———中心地K3体系中的分形与分维.经济地理,1998,18(4):33～37
[28] Arlinghaus S.Fractals take a central place.Geografiska Annaler,1985,67B,2:83～88
[29] Allen P M,Sanglier M.A dynamic model of growt h in a central place system.Geographical Analysis,1979,11:156～272
[30] Holland J H.陈禹,等译.涌现———从混沌到有序.上海:上海科学技术出版社,2001
[31] Madden C H.On some indications of stabilit y in t he growt h of cities in t he United States.Economic Development andCulture Change,1956,4:236～252
[32] Buchanan M.Ubiquity:Why t he World is Simpler t han We Think.London:Weidenfeld&Nicolson,2000
[33] 周一星.人文地理研究能为制订国家政策作贡献———以城市发展方针研究为例.人文地理,2001,16(1):1～5-39
[34] Barabási A-L.Linked:The New Science of Network.Massachusetts:Persus Publishing,2002
[35] Barabási A.L,Bonabeau E1Scale2free networks1Scientific American,2003,288(5):50～59
[36] 陈彦光.城市人口-城区面积异速生长模型的理论基础、推广形式及其实证分析.华中师范大学学报(自然科学版),2002,36(3):375～380
[37] White R,Engelen G.Urban systems dynamics and cellular automata:fractal structures between order and chaos.Chaos,Solitons&Fractals,1994,4(4):563～583
[38] Rodriguez2Iturbe I,Rinaldo A.Fractal River Basins:Chance and SelfOrganization(Paperback Edition).New York:Cambridge University Press,2001
[39] Turcotte D L.Fractals and Chaos in Geology and Geophysics(2nd).Cambridge,U K:Cambridge University Press,1997
[40] Woldenberg M J,Berry B J L.Rivers and central places:analogous systems?Journal of Regional Science,1967,7:129～139
[41] White R,Engelen G.Cellular dynamics and GIS:modeling spatial complexity.Geographical Systems,1993,1:237～253
[42] Richards A.Complexity in physical geography.Geography,2002,87(2):99～1071
[43] 刘继生,陈彦光.基于GIS的细胞自动机模型与人地关系的复杂性研究———关于人地关系研究的技术模式探讨.
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