Journal of Geo-information Science ›› 2022, Vol. 24 ›› Issue (9): 1771-1784.doi: 10.12082/dqxxkx.2022.220039

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The Centripetal Expansion Index and Its Application in Urban Spatial Expansion in Zhengzhou Metropolitan Area

LIU Tianyu(), CHEN Xiaolin, LI Qiang(), CHEN Jin   

  1. Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China
  • Received:2022-01-21 Revised:2022-03-11 Online:2022-09-25 Published:2022-11-25
  • Contact: LI Qiang;
  • Supported by:
    The Special Project of Science and Technology Basic Resources Survey(2019FY202502)


Exploring the urban spatial expansion and temporal change in metropolitan areas can reflect the dynamic spatial relationship between the core city and the peripheral areas. It can provide a scientific basis for formulating guidelines and policies for metropolitan areas. Considering the association between the core city and the peripheral areas in a metropolitan area, the paper constructs the Centripetal Expansion Index (CEI), which includes the expansion intensity and direction. Using the global artificial impervious layer data product (i.e., GAIA), this paper analyzes the expansion characteristics of urban development area of cities and towns in Zhengzhou metropolitan area from 2000 to 2018. And using the multiple logistic regression model, the paper further analyzes the factors that affect the centripetal expansion of cities and towns. The results show that: (1) The CEI provides a method support for revealing the effect of core city on the peripheral areas and measuring the expanding trend of the peripheral areas towards core city in metropolitan areas; (2) The Zhengzhou metropolitan area has experienced rapid spatial expansion in the past 20 years. Though the DEI index and CEI index of the peripheral areas fluctuate over time, Zhengzhou metropolitan area has a core-periphery development pattern. Most of the peripheral areas except the central urban areas of individual prefecture-level cities and their subordinate counties, are significantly centripetal and increase over time. The core city has a significant effect on the peripheral areas; (3) The differences in both per capita GDP and urbanization rate between core city and the peripheral areas are important factors influencing the centripetal expansion of the peripheral areas, while administrative affiliation, administrative rank, and proximity to core city also have influence on centripetal expansion.

Key words: urban expansion, centripetal expansion index, artificial impervious layer, Zhengzhou metropolitan area, multiple logistic regression model