The Time-Scale Effects of the City-Size Hierarchy in China Based on Rank-Clock Methodology

  • Dept. of Surveying and Geoinformatics, Tongji University, Shanghai 200092

Received date: 2008-04-10

  Revised date: 2008-09-05

  Online published: 2008-12-25

Supported by

National Natural Science Foundation of China, No.40801060


The theories of "Rank-Clock", "Rank-Distance Clock", and "Half-Life of City" suggested by Prof. M Batty, a famous urban geographer in the world, has been introduced in this paper. Using data of population and cities' rank at and above prefecture for more than 50 years since the founding of the People's Republic of China in 1949, the "Rank-Clock", "Rank-Distance Clock" and "Half-Life of City" depicting the evolving characteristics of cities' hierarchy in China have been researched and drawn up. As well, using some historical population data, the "Rank-Clock" characteristics of a few historical cities in China for the last 2000 years have been researched and discussed briefly. The outcomes of the "Rank-Clock" study indicate that variations of the "Rank-Clock" of metropolises in China appear more slowly and the cities' rank order is stable. As for the regional spatial differences, variations of the "Rank-Clock" of cities located in eastern China are more evident, and their rank order advances more quickly. Correspondingly, although variations of the "Rank-Clock" of cities located in northeastern China are also greater, the direction of variations is opposite compared with that of eastern cities and their rank order drops markedly. Furthermore, variations of the "Rank-Clock" of a few cities located in western and inland China are relatively small, and their rank order is kept beyond the top 100 cities for the study periods. The outcomes of the "Rank-Distance Clock" study show that changes of "Rank-Distance" in some cities with higher rank order are relatively small, and changes of cities with lower rank order and/or newly established cities increase more quickly. As to the whole urban system of China, the Rank-Distance changes placidly, only in the periods of 1980-1985 and 2000-2005, the significant changes of the Rank-Distance took place, representing two rapid urbanization processes occurred in the early days of "reform and opening up" and the beginning of the 21st century. The results of the "Half-Life of City" study display that as a whole city system of China, because of the shorter temporal span of the system, the "Half-Life of City" is not evident. Even if that is how things stand, taking the 1980s as a demarcation line of time, there is a clear duration difference between the forwards and backwards half-life of the top 100 cities. Just starting from the demarcation line, the speed of replacing old cities by new developing ones is quickening. The outcomes of the "Rank-Clock" study for some historical cities show that rank changes of the cities with political functions are closely related to their political status as old administrative capitals. And rank changes of the cities located in eastern and coastal areas of China are closely related to their geographical conditions and economic policy.

Cite this article

LIU Miaolong, CHEN Yu, CHEN Peng, CHEN Jie . The Time-Scale Effects of the City-Size Hierarchy in China Based on Rank-Clock Methodology[J]. Acta Geographica Sinica, 2008 , 63(12) : 1235 -1245 . DOI: 10.11821/xb200812001


[1] Xu Xueqiang, Zhou Yixing, Ning Yuemin. Urban Geography. Beijing: Higher Education Press, 1997. 123-147.
[许学强, 周一星, 宁越敏. 城市地理学. 北京: 高等教育出版社, 1997. 123-147.]

[2] Zipf G K. Human Behavior and the Principle of Least Effort. Addison-Wesley Press, 1949.

[3] Xu Xueqiang. Research on evolution and prediction of the cities system in China. Journal of Sun Yat-sen University, 1982, (3): 40-49.
[许学强. 我国城市体系的演变和预测. 中山大学学报, 1982, (3): 40-49.]

[4] Zhou Yixing. The relationship between output levels of urban industries and urban sizes in China. Economic Research, 1988, (5): 74-79.
[周一星. 中国城市工业产出水平与城市规模的关系. 经济研究, 1988, (5):74-79.]

[5] Zhou Yixing, Yang Qi. Review of evolution of cities hierarchy in China and their regional classification. Acta Geographica Sinica, 1986, 41(2): 97-111.
[周一星, 杨齐. 我国城镇等级体系变动的回顾及其省区地域类型. 地理学 报, 1986, 41(2): 97-111.]

[6] Wang Fahui. Research on statistical model of cities' rank-size distribution in China. Urban Problems, 1989, (1): 14-20.
[王法辉. 我国城市规模分布的统计模式研究. 城市问题, 1989, (1): 14-20.]

[7] Gu Chaolin, Hu Xiuhong. The status quo characteristics of cities' system in China. Economic Geography, 1998, 18(1): 21-26.
[顾朝林, 胡秀红. 中国城市体系现状特征. 经济地理, 1998, 18(1): 21-26.]

[8] Yang Guo'an, Gan Guohui. Spatial distribution characteristics and the evolution of cities and urban system in China. Geographical Information Science, 2004, 6(3): 12-18.
[杨国安, 甘国辉. 中国城镇体系空间分布特征及其变化. 地球信 息科学, 2004, 6(3): 12-18.]

[9] Chen Liangwen, Yang Kaizhong, Wu Jiao. Practical research on the evolution of cities system in China. Jiangsu Social Science, 2007, (1): 81-88.
[陈良文, 杨开忠, 吴蛟. 中国城市体系演化的实证研究. 江苏社会科学, 2007, (1): 81-88.]

[10] Jiang Manqi. Experience study on evolution of urban sizes in China and turning over to think urban development. Shanghai Economic Research, 2006, (6): 29-35.
[江曼琦. 中国城市规模分布演进的实证研究及对城市发展的反思. 上海经济研究, 2006, (6): 29-35.]

[11] Liu Jisheng, Chen Yanguang. Fractal dimension and its measurement of a city and town hierarchy. Geographical Research, 1998, 17(1): 82-88.
[刘继生, 陈彦光. 城镇体系等级结构的分形维数及其测算方法. 地理研究, 1998, 17 (1): 82-88.]

[12] Chen Yong, Chen Rong, Ai Nanshan. Fractal study of urban size. Economic Geography, 1993, 13(3): 48-53.
[陈勇, 陈 嵘, 艾南山. 城市规模分布的分形研究. 经济地理, 1993, 13(3): 48-53.]

[13] Jiang Shizhong, Research on prediction methodology for a city-size hierarchy. Human Geography, 1998, 13(3): 50-53.
[姜世中. 城市体系规模结构预测方法应用研究. 人文地理, 1998, 13(3): 50-53.]

[14] Chen Yanguang, Zhou Yixing. The rank-size rule and fractal hierarchies of cities: Mathematical models and empirical analyses. Environment and Planning (B), 2003, 30: 799-818.

[15] Harris B. Zipf's rank-size rule: A comment on Chen and Zhou. Environment and Planning (B), 2004, 31: 931-932.

[16] Kwok Tong Soo. Zipf's law for cities: A cross-country investigation. Reginal Science and Urban Economics, 2005, 35: 239-263.

[17] Tan Minghong, Fan Cunhui. Relationgship between Zipf dimension and fractal dimension of city size distribution. Geographical Research, 2004, 23(2): 243-248.
[谈明洪, 范存会. Zipf 维数与城市规模分布分维值得关系探讨. 地理 研究, 2004, 23(2): 243-248.]

[18] Batty M, Torrens P M. Modelling and prediction in a complex world. Future, 2005, 37: 745-766.

[19] Miller E J, Hunt D. Microsimulation urban system. Computers, Environment and Urban System, 2004, 28: 9-44.

[20] Batty M. The emergence of cities: Complexity and urban dynamics. CASA Working Papers, No.64, 2003.9

[21] Batty M. Model cities. CASA Working Papers, No.113, 2007.2.

[22] Wilson A G. Ecological and urban systems' models: Some explorations of similarities in the context of complexitytheory. Environment and Planning (A), 2006, 38: 630-646.

[23] Wilson A G. The "thermodynamics" of the city. CASA Working Papers No.137, 2008.7.

[24] Batty M. Rank clocks. Nature, 2006, 444: 592-596.

[25] Batty M. The size, scale, and shape of cities. Science, 2008, 319(8): 769-771.