京津冀城市用地形态的双分形特征及其演化

doi:10.18306/dlkxjz.2019.01.007

Abstract

Abstract:

One of the indicators of regional integration of urban and rural areas is the integration of the structure of systems of cities and towns. This process can be described and evaluated using the concept of scaling. Fractal geometry is one of the powerful tools for scaling analysis. An important parameter of geographic spatial distribution characteristics is fractal dimension. Based on data derived from remote sensing images and census data, this study carried out fractal analysis, rank-size distribution analysis, and allometric scaling analysis of cities and urban system in the Beijing-Tianjin-Hebei region. The aim was to explain the process of urban growth in the region from 1995 to 2013. The results show three characteristics of urban form and growth: 1) Both the spatial structure and the rank-size distribution of the cities in the Beijing-Tianjin-Hebei region are of self-affine pattern, indicating bi-fractal property. 2) The relationship between urban population and urban area of the Beijing-Tianjin-Hebei region indicates a false linear correlation. 3) With the change of the urban system, the self-affine bi-fractal structure evolved gradually into a self-similar fractal structure. The main conclusions are as follows: 1) There is a structural incongruity in the system of cities and towns in the Beijing-Tianjin-Hebei region. The urban hierarchy takes on a dual structure, but the direction of urban change shows a significant trend of internal structure integration. 2) Land use in large cities is not intensive enough. The unordered expansion of urban fringe led to the waste of land resources. Planners and local governments should make use of the characteristics and trends of change of the urban system to formulate planning schemes and management measures.

Key words: urban land use, fractals, self-affinity, rank-size distribution, allometric scaling law, urban system of the Beijing-Tianjin-Hebei region

Jingtian ZHAO, Yanguang CHEN, Shuangcheng LI. Bi-fractal structure and evolution of the Beijing-Tianjin-Hebei region urban land-use patterns[J].PROGRESS IN GEOGRAPHY, 2019, 38(1): 77-87.

Figures/Tables 5

Fig.1

Tab.1

Fig.2

Fig.3

Fig.4

References 36

[1]	陈涛. 1995. 豫北地区城镇体系的分形研究 [D]. 长春: 东北师范大学城市与环境学院.
	[Chen T.1995. Studies on fractal systems of towns in the central plains. Changchun, China: College of Urban and Environmental Sciences, Northeast Normal University. ]
[2]	陈彦光. 2008. 分形城市系统: 标度、对称和空间复杂性 [M]. 北京: 科学出版社.
	[Chen Y G.2008. Fractal urban systems: scaling, symmetry, and spatial complexity. Beijing, China: Science Press. ]
[3]	陈彦光. 2015. 简单、复杂与地理分布模型的选择[J]. 地理科学进展, 34(3): 321-329.
	[Chen Y G.2015. Simplicty, complexity, and mathematical modeling of geographical distributions. Progress in Geography, 34(3): 321-329. ]
[4]	陈彦光. 2017. 城市形态的分维估算与分形判定[J]. 地理科学进展, 36(5): 529-539.
	[Chen Y G.2017. Approaches to estimating fractal dimension and identifying fractals of urban form. Progress in Geography, 36(5): 529-539. ]
[5]	陈彦光, 刘继生. 1998. 城镇体系等级结构的分形维数及其测算方法[J]. 地理研究, 17(1): 82-89.
	[Chen Y G, Liu J S.1998. Fractal dimensions of hierarchical structure of urban systems and the methods of their determination. Geographical Research, 17(1): 82-89. ]
[6]	陈勇, 陈嵘, 艾南山, 等. 1993. 城市规模分布的分形研究[J]. 经济地理, 13(3): 48-53.
	[Chen Y, Chen R, Ai N S, et al.1993. On the fractal property of city-size distributions. Economical Geography, 13(3): 48-53. ]
[7]	姜世国. 2004. 基于北京遥感图像和GIS的分形城市形态研究: 理论、方法与实践 [D]. 北京: 北京大学环境学院.
	[Jiang S G.2004. Studies on fractal urban form using GIS and remote sensing images of Beijing: Theory, method and practice. Beijing, China: College of Environmental Sciences, Peking University. ]
[8]	刘继生, 陈彦光. 1999. 东北地区城市规模分布的分形特征[J]. 人文地理, 14(3): 1-6.
	[Liu J S, Chen Y G.1999. A preliminary study of fractal features of size distribution of cities in Northeast China. Human Geography, 14(3): 1-6. ]
[9]	刘继生, 陈彦光. 2005. 山东省城市人口-城区面积的异速生长特征讨论[J]. 地理科学, 25(2): 135-141.
	[Liu J S, Chen Y G.2005. An allometric analysis of the Shandong urban system using ideas from fractals. Scientia Geographica Sinica, 25(2): 135-141. ]
[10]	刘式达, 刘式适. 1993. 分形与分维引论 [M]. 北京: 气象出版社.
	[Liu S D, Liu S S.1993. An introduction to fractals and fractal dimension . Beijing, China: Meteorological Press. ]
[11]	秦静, 方创琳, 王洋, 等. 2015. 基于三维计盒法的城市空间形态分维计算和分析[J]. 地理研究, 34(1): 85-96.
	[Qin J, Fang C L, Wang Y, et al.2015. A three dimensional box-counting method for estimating fractal dimension of urban form. Geographical Research, 34(1): 85-96. ]
[12]	王洁晶. 2011. 长三角城市用地时空演化特征的分维与异速标度分析 [D]. 北京: 北京大学城市与环境学院.
	[Wang J J.2008. Fractal dimension and allometric analysis on spatio-temporal evolution of urban land-use in the Yangtze River Delta. Beijing, China: College of Urban and Environmental Sciences, Peking University. ]
[13]	周一星. 1995. 城市地理学 [M]. 北京: 商务印书馆.
	[Zhou Y X.1995. Urban geography . Beijing, China: The Commercial Press. ]
[14]	Allen P M.1997. Cities and regions as self-organizing systems: Models of complexity[M]. London & New York: Routledge.
[15]	Batty M.2008. The size, scale, and shape of cities[J]. Science, 319: 769-771. doi: 10.1126/science.1151419
[16]	Batty M, Longley P A.1994. Fractal cities: A geometry of form and function [M]. London, UK: Academic Press.
[17]	Benguigui L, Czamanski D, Marinov M, et al.2000. When and where is a city fractal?[J]. Environment and Planning B: Planning and Design, 27(4): 507-519. doi: 10.1068/b2617
[18]	Benguigui L, Daoud M.1991. Is the suburban railway system a fractal?[J]. Geographical Analysis, 23(4): 362-368.
[19]	Chen Y, Lin J.2009. Modeling the self-affine structure and optimization conditions of city systems using the idea from fractals[J]. Chaos, Soliton & Fractals, 41(2): 615-629.
[20]	Chen Y G.2014. The spatial meaning of Pareto’s scaling exponent of city-size distributions[J]. Fractals, 22(1-2): 1450001. doi: 10.1142/S0218348X14500017. doi: 10.1142/S0218348X14500017
[21]	Chen Y G, Feng J.2012. Fractal-based exponential distribution of urban density and self-affine fractal forms of cities[J]. Chaos, Solitons & Fractals, 45(11): 1404-1416.
[22]	Chen Y G, Feng J.2017. A hierarchical allometric scaling analysis of Chinese cities: 1991-2014[J]. Discrete Dynamics in Nature and Society, doi: 10.1155/2017/5243287.
[23]	Chen Y G, Wang J J.2013. Multifractal characterization of urban form and growth: The case of Beijing[J]. Environment and Planning B: Planning and Design, 40(5): 884-904. doi: 10.1068/b36155
[24]	Chen Y G, Zhou Y X.2006. Reinterpreting central place networks using ideas from fractals and self-organized criticality[J]. Environment and Planning B: Planning and Design, 33(3): 345-364. doi: 10.1068/b31131
[25]	Clark C.1951. Urban population densities[J]. Journal of Royal Statistical Society, 114(4): 490-496. doi: 10.2307/2981088
[26]	Feng J, Chen Y G.2010. Spatiotemporal evolution of urban form and land use structure in Hangzhou, China: Evidence from fractals[J]. Environment and Planning B: Planning and Design, 37(5): 838-856. doi: 10.1068/b35078
[27]	Frankhauser P.1998. The fractal approach: A new tool for the spatial analysis of urban agglomerations[J]. Population: An English Selection, 10(1): 205-240.
[28]	Knox P L, Marston S A.2009. Places and regions in global context: human geography[M]. The 5th Edition. Upper Saddle River, NJ: Prentice Hall.
[29]	Lee Y.1989. An allmetric analysis of the US urban system: 1960-80[J]. Environment and Planning A, 21(4): 463-476. doi: 10.1068/a210463
[30]	Portugali J.2000. Self-organization and the city[M]. Berlin, Germany: Springer.
[31]	Pumain D.2006. Hierarchy in natural and social sciences[M]. Dordrecht, the Netherland: Springer.
[32]	Qin J, Fang C L, Wang Y, et al.2015. Evaluation of three-dimensional yrban expansion: A case study of Yangzhou City, Jiangsu Province, China[J]. Chinese Geographical Science, 25(2): 224-236. doi: 10.1007/s11769-014-0728-8
[33]	Shen G.2002. Fractal dimension and fractal growth of urbanized areas[J]. International Journal of Geographical Information Science, 16(5): 419-437. doi: 10.1080/13658810210137013
[34]	Sun J, Southworth J.2013. Remote sensing-based fractal analysis and scale dependence associated with forest fragmentation in an Amazon tri-national frontier[J]. Remote Sensing, 5(2): 454-472. doi: 10.3390/rs5020454
[35]	White R, Engelen G.1993. Cellular automata and fractal urban form: A cellular modeling approach to the evolution of urban land-use patterns[J]. Environment and Planning A, 25(8): 1175-1199. doi: 10.1068/a251175
[36]	Zipf G K.1949. Human behavior and the principle of least effort[M]. Cambridge, MA: Addison-Wesley.

	容量维D₀								信息维D₁
年份	整体		第一标度区		第二标度区		分维差		整体
	D₀	R²	D₍₁₎	R²	D₍₂₎	R²	D₍₁₎-D₍₂₎	D₁	R²
1995	1.4613	0.9647	1.7874	0.9973	1.0439	0.9920	0.7435		1.3072	0.9940
2000	1.4582	0.9662	1.7829	0.9970	1.0602	0.9908	0.7227		1.3108	0.9933
2005	1.4823	0.9732	1.7848	0.9967	1.1346	0.9911	0.6502		1.3405	0.9958
2010	1.5288	0.9816	1.7878	0.9970	1.2259	0.9956	0.5619		1.4024	0.9960
2013	1.5397	0.9834	1.7911	0.9969	1.2588	0.9955	0.5323		1.4107	0.9975

Bi-fractal structure and evolution of the Beijing-Tianjin-Hebei region urban land-use patterns

RichHTML

PDF (PC)

Like

Knowledge

Cited

Abstract

Cite this article

share this article

Figures/Tables 5

References 36

Related Articles 14

Metrics

Comments

Recommended 0

[1]	Yanguang CHEN. Monofractal, multifractals, and self-affine fractals in urban studies [J]. PROGRESS IN GEOGRAPHY, 2019, 38(1): 38-49.
[2]	Linshan HUANG, Yanguang CHEN, Shuangcheng LI. Multifractal spectral analysis of land use structure of the Beijing-Tianjin-Hebei urban system [J]. PROGRESS IN GEOGRAPHY, 2019, 38(1): 50-64.
[3]	Feng ZHANG, Yanguang CHEN, Xiaosong LI. Radial dimension analysis of growth and form of cities in the Beijing-Tianjin-Hebei region [J]. PROGRESS IN GEOGRAPHY, 2019, 38(1): 65-76.
[4]	Weipan XU, Xun LI, Haohui CHEN. A comparative research on the rank-size distribution of cities in China and the United States based on urban nighttime light data [J]. PROGRESS IN GEOGRAPHY, 2018, 37(3): 385-396.
[5]	Yanguang CHEN. Approaches to estimating fractal dimension and identifying fractals of urban form [J]. PROGRESS IN GEOGRAPHY, 2017, 36(5): 529-539.
[6]	Yanguang CHEN. Simplicity, complexity, and mathematical modeling of geographical distributions [J]. PROGRESS IN GEOGRAPHY, 2015, 34(3): 321-329.
[7]	Xingye TAN, Yanguang CHEN. Urban boundary identification based on neighborhood dilation [J]. PROGRESS IN GEOGRAPHY, 2015, 34(10): 1259-1265.
[8]	GUO Jianke, HAN Jing, HAN Zenglin, DU Xiaofei. Spatial effects of devolvement of modern seaport on city： A case study in Dalian [J]. PROGRESS IN GEOGRAPHY, 2013, 32(11): 1639-1649.
[9]	WANG Shijun, WANG Yongchao, FENG Zhangxian. Spatial Relationships Between Central Places in the Central Region of Jilin [J]. PROGRESS IN GEOGRAPHY, 2012, 31(12): 1628-1635.
[10]	LU Chunyang,YANG Qingyuan,JIN Dongxiao,LI Xinyang,WEN Feng. Research Progress and Prospects of the Researches on Urban Land Use Structure in China [J]. PROGRESS IN GEOGRAPHY, 2010, 29(7): 861-868.
[11]	BIAN Xingyun, RAN Ruiping, JIA Yanbing. Analysis of Temporal and Spatial Difference on Regional Urban Land Intensive Utilization: A Case Study of Shandong [J]. PROGRESS IN GEOGRAPHY, 2009, 28(4): 617-621.
[12]	GAO Yingchun, TONG Lianjun, YIN Jun. Analysis of Urban Land Use Growth in Shijiazhuang City [J]. PROGRESS IN GEOGRAPHY, 2008, 27(6): 18-24.
[13]	ZHANG Luocheng, WU Chucai, YAO Shimou. The Characters of Urban Land Expansion in Southern Jiangsu Province and Its Problems [J]. PROGRESS IN GEOGRAPHY, 2003, 22(6): 639-645.
[14]	LIU Sheng he . Spatial Patterns and Dynamic Mechanisms of Urban Land Use Growth [J]. PROGRESS IN GEOGRAPHY, 2002, 21(1): 43-50.