学术论文

中国城市空间分布的双侧对称性

  • 陈彦光 ,
  • 余斌
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  • 1.北京大学环境学院城市与区域规划系,北京 100871;2.华中师范大学城市与环境学院,湖北 武汉 430079
陈彦光(1965-),男,河南罗山人,副教授,主要从事城市与理论地理学研究.E-mail:chenyg@pku.edu.cn

收稿日期: 2006-01-18

  修回日期: 2006-05-11

  网络出版日期: 2006-07-15

基金资助

国家自然科学基金重点项目“中国的城市变化及其自组织空间动力学”(编号:40335051)资助.

Bilateral Symmetry of Spatial Distribution of Cities in China

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  • 1.Department of Geography, Peking University, Beijing 100871,China;2.Department of Geography, Central China Normal University, Wuhan 430079,China

Received date: 2006-01-18

  Revised date: 2006-05-11

  Online published: 2006-07-15

摘要

借助尺度归并和笛卡儿变换思想考察中国城市的宏观分布规律,发现中国城市在一定的空间和规模尺度上具有双重对称性:以秦岭—淮河为界,南方城市与北方城市呈现双侧对称特征;以呼和浩特—太原—郑州—武汉—广州沿线为轴,东部城市与西部城市形成双侧对称局势。中国城市的宏观对称性与地球公转和自转的方式有关,海陆差异、地表形态和水系构成是影响城市对称格局的重要因素。城市的对称分布属于广义的形态发育问题,对称形成的内在机制可能在于人类空间行为的自组织演化。

本文引用格式

陈彦光 , 余斌 . 中国城市空间分布的双侧对称性[J]. 地球科学进展, 2006 , 21(7) : 687 -694 . DOI: 10.11867/j.issn.1001-8166.2006.07.0687

Abstract

This paper is devoted to the research of bilateral symmetry distribution of cities in China at the global level, based on Ye Danian (2000)'s precursory work. Using the idea from Cartesian transform in mathematics and Zhou Yixing's notion of urban economic regions in geography, the authors make two models with bilaterality for spatial distributions of China's cities. Taking Qin Mountain-Huai river as an axis of symmetry, we can find that the cities in northern China corresponds to those in southern China; while taking a line along the cities of Hohehot, Taiyuan, Zhengzhou, Wuhan, and Guangzhou as another axis of symmetry, we can find that the cities in eastern China seems to be a mirror image of those in western China. Symmetry research is significant to the theory construction of urban geography because it associates with universality. On the other hand, symmetry implies beauty, perfect, and order. Therefore studies of symmetry of cities are of help to developing urban spatial optimization methods.

参考文献

[1] Woldenberg M J, Berry B J L. Rivers and central places: Analogous systems? [J]. Journal of Regional Science, 1967, 7: 129-139.

[2] Chen Yanguang. Spatial structure of central-place systems: Fractal and scaling laws[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2004, 40(4): 626-634.[陈彦光.中心地体系空间结构的标度定律与分形模型——Christarller中心地模型的数学抽象与理论推广[J].北京大学学报:自然科学版,2004,40(4):626-634.]

[3] Chen Yanguang, Liu Jisheng. Fractals and fractal dimensions of structure of river systems [J]. Advances in Earth Science, 2001, 16(2):178-183.[陈彦光,刘继生.水系结构的分形和分维——Horton水系定律的模型重建及其参数分析[J].地球科学进展,2001,16(2):179-183.]

[4] Christaller W. Central Places in Southern Germany [M]. Baskin C W translated. Englewood Cliffs, NJ: Prentice Hall, 1966.

[5] Prigogine I, Stengers I. Order Out of Chaos: Man's New Dialogue with Nature [M]. New York: Bantam Book, Inc, 1984.

[6] Ye Danian. Geography and Symmetry[M]. Shanghai: Shanghai Science and Technology Education Press, 2000.[叶大年.地理与对称[M].上海:上海科技教育出版社,2000.]

[7] Ye Danian, He Wei, Xu Wendong, et al. Symmetry distribution of cities in China [J]. Science in China (Series D), 2001, 44(8): 716-725.[叶大年,赫伟,徐文东,.中国城市的对称分布[J].中国科学:D,2001,31(7):608-616.]

[8] Chen Yanguang, Liu Jisheng. Studies of analogies of fractal structure between river networks and systems of central places[J]. Progress in Geography, 2001, 20(1): 81-88.[陈彦光,刘继生.中心地体系与水系分形结构的相似性分析——关于人地对称关系的一个理论探讨[J].地理科学进展,2001,20(1):81-88.]

[9] Niu Wenyuan. Theoretical Geography[M]. Beijing: Commercial Press, 1992.[牛文元.理论地理学[M].北京:商务印书馆,1992.]

[10] Weyl H. Symmetry [M]. Princeton, NJ: Princeton University Press, 1989.

[11] Lee T D. Symmetries, Asymmetries, and the World of Particles [M]. Seattle and London: University of Washington Press, 1988.

[12] Batty M, Longley P A. Fractal Cities: A Geometry of Form and Function [M]. London: Academic Press, 1994.

[13] Zhou Yixing, Zhang Li. China’s urban economic region in the open context [J]. Acta Geographica Sinica, 2003, 58(2): 271-284.[周一星,张莉. 改革开放条件下的中国城市经济区[J].地理学报,2003,58(2):271-284.]

[14] Takayasu H. Fractals in the Physical Sciences [M]. Manchester: Manchester University Press, 1990.

[15] Chen Yanguang. Urbanization as phase transition and self-organized critical process [J]. Geographical Research, 2004, 23(3): 301-311.[陈彦光.城市化:相变与自组织临界性[J].地理研究,2004,23(3):301-311.]

[16] Thompson D W. On Growth and Form[M].An abridged, ed. Cambridge: Cambridge University Press, 1966.

[17] Chen Yanguang, Liu Jisheng. Main tasks and methods of geography [J]. Scientia Geographica Sinica, 2004, 24(3): 257-263.[陈彦光,刘继生.地理学的主要任务与研究方法 [J].地理科学,2004,24(3):257-263.]

[18] Liu Jisheng, Chen Yanguang. Multifractal measures based on man-land relationships of the spatial structure of the urban system in Henan[J]. Scientia Geographica Sinica, 2003, 23(6): 713-720.[刘继生,陈彦光.河南省城镇体系空间结构的多分形特征及其与水系分布的关系探讨[J].地理科学,2003,23(6):713-720.]

[19] Haken H. A synergetic approach to the self-organization of cities and settlements[J]. Environment and Planning B: Planning and Design, 1995, 22(1): 35-46.

[20] Allen P M. Cities and Regions as Self-Organizing Systems: Models of Complexity [M]. Amsterdam: Gordon and Breach Science Publishers, 1997.

[21] Portugali J. Self-Organization and the City [M]. Berlin: Springer-Verlag, 2000.

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