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Studying the urban hierarchical pattern and spatial structure of China using a synthesized gravity model

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Abstract

The Gravity Model (GM), one of the most classic models adopted by the domain of social sciences from physics, has been widely used to study the interactions between social identities. Previous research that has used the Gravity Model to study the interactions among cities have mostly used a single variable, such as population or GDP, to represent a city, which does not provide a comprehensive depiction of a city’s influence. This paper develops a Synthesized Gravity Model (SGM) based on the traditional Gravity Model to study the evolution of the hierarchy of the Chinese urban system since the mid-1990s. Under this model, socioeconomic variables are synthesized and are represented by the Influential Factor, while the Function Distance is derived from a Network Analysis that is based on multiple transportation methods. As an improvement on the GM, the SGM is used to accurately establish and represent the nodal structure of China’s urban system, the evolution of its hierarchical structure, and the relationships that exist between the nodal structure and socioeconomic factors. The results based on the SGM indicate that China’s national urban system is characterized by the emergence of urban clusters with stronger inter-city interactions since the 1990s. However, the development among cities within certain urban clusters is not even, although the general pattern indicates a lessening inequality amongst cities. Spatially, while most cities at the top of the hierarchy are located in Eastern China, cities in the center and the west of the country are also gaining higher positions in the hierarchy over time. This paper is dedicated to improving the traditional GM in the applications of urban studies, while the system of Chinese cities is used to validate the SGM.

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References

  • Ashtakala B, Murthy A S N. 1988. Optimized gravity models for commodity transportation. J Trans Eng, 114: 393–408

    Article  Google Scholar 

  • Bretagnolle A, Daudé E, Pumain D. 2003. From theory to modelling: Urban systems as complex systems. In: 13th European Colloquium on Quantitative and Theoretical Geography.

    Google Scholar 

  • Lucca Camagni R P, Salone C. 1993. Network urban structures in Northern Italy: Elements for a theoretical framework. Urban Studies, 30: 1053–1064

    Article  Google Scholar 

  • Cao H, Bergeron S. 2010. Disparités régionales et inclusion des minorités: Les défis de la Chine de l’après Jeux Olympiques de Beijing. Québec: Presses de l’Université du Québec

    Google Scholar 

  • Chen Y. 2009. Urban gravity model based on cross-correlation function and Fourier analyses of spatio-temporal process. Chaos Solitons Fractals, 41: 603–614

    Article  Google Scholar 

  • Chen Z. 2008. Urbanization and Spatial Structure Evolution of Urban System in China. IDE-JETRO, available online at https://doi.org/www.ide.go.jp/

    Google Scholar 

  • Davies W K D. 1979. Urban connectivity in Montana. Ann Region Sci, 13: 29–46

    Article  Google Scholar 

  • Dematteis G. 1997. Globalisation and regional integration: The case of the Italian urban system. GeoJournal, 43: 331–338

    Article  Google Scholar 

  • Dou W, Li G, Gan Y, Wang L, Yang K. 2000. Urban competitive pattern and its changes in China. Chin Geograph Sci, 10: 105–112 Du G. 2000. Using GIS for analysis of urban systems. GeoJournal, 52: 213–221

    Article  Google Scholar 

  • Du G. 2006. Spatial structure of urban systems in developing countries: A case study of China. J Nanjing Univ-Nat Sci, 42: 225–241

    Google Scholar 

  • Elvidge C D, Imhoff M L, Baugh K E, Hobson V R, Nelson I, Safran J, Dietz J B, Tuttle B T. 2001. Night-time lights of the world: 1994–1995. Isprs-J Photogramm Remote Sens, 56: 81–99

    Article  Google Scholar 

  • Ewing G O. 1974. Gravity and linear regression models of spatial interaction: A cautionary note. Econ Geogr, 50: 83

    Article  Google Scholar 

  • Fang C, Mao Q, Ni P. 2015. Discussion on the scientific selection and development of China’s urban agglomerations (in Chinese). Acta Geogr Sin, 70: 515–527

    Google Scholar 

  • Gu C. 1991. A preliminary study on the division of urban economic regionsin China (in Chinese). Acta Geogr Sin, 46: 129–141

    Google Scholar 

  • Gu C, Pang H. 2008. Study on spatial relations of Chinese urban system: Gravity model approach (in Chinese). Geogr Res, 27: 1–12

    Google Scholar 

  • Hair J F, Black B, Babin B, Anderson R E, Tatham R L. 2005. Multivariate Data Analysis. 6th ed. Upper Saddle River: Prentice Hall

    Google Scholar 

  • Haynes K E, Fotheringham A S. 1984. Gravity and Spatial Interaction Models. NewburyPark: Sage Publications

    Google Scholar 

  • He C, Li J, Chen J, Shi P, Chen J, Pan Y, Li J, Zhuo L, Toshiaki I. 2006. The urbanization process of Bohai Rim in the 1990s by using DMSP/ OLS data. J Geogr Sci, 16: 174–182

    Article  Google Scholar 

  • Henderson M, Yeh E T, Gong P, Elvidge C, Baugh K. 2003. Validation of urban boundaries derived from global night-time satellite imagery. Int J Remote Sens, 24: 595–609

    Article  Google Scholar 

  • Hua C, Porell F. 1979. A critical review of the development of the gravity model. Int Regional Sci Rev, 4: 97–126

    Article  Google Scholar 

  • Huff D L, Lutz J M. 1995. Change and Continuity in the Irish urban system, 1966–81. Urban Studies, 32: 155–173

    Article  Google Scholar 

  • Isard W. 1998. Gravity and spatial interaction models. In: Isard W, Azis I, Drennan M, Miller R, Saltzman S, Thorbecke E, eds. Methods of Interregional and Regional Analysis. Vermont: Ashgate Publishing Company. 243–279

    Google Scholar 

  • Jin F, Wang F, Liu Y. 2004. Geographic patterns of air passenger transport in China 1980–1998: Imprints of economic growth, regional inequality, and network development. Prof Geogr, 56: 471–487

    Google Scholar 

  • Karemera D, Oguledo V I, Davis B. 2000. A gravity model analysis of international migration to North America. Appl Econ, 32: 1745–1755

    Article  Google Scholar 

  • Leung Y, Mei C L, Zhang W X. 2000. Statistical tests for spatial nonstationarity based on the geographically weighted regression model. Environ Plan A, 32: 9–32

    Article  Google Scholar 

  • Lin G C S. 2002. The growth and structural change of Chinese cities: A contextual and geographic analysis. Cities, 19: 299–316

    Article  Google Scholar 

  • Logan J R, Molotch H L. 1987. Urban Fortunes: The Political Economy of Place. Berkeley: University of California Press

    Google Scholar 

  • Lowry I. 1966. Migration and Metropolitan Growth: Two Analytical Models. San Francisco: Chandler Publ

    Google Scholar 

  • Ma L J C. 2002. Urban transformation in China, 1949–2000: A review and research agenda. Environ Plan A, 34: 1545–1569

    Article  Google Scholar 

  • Nystuen J D, Dacey M F. 1961. A graph theory interpretation of nodal regions. Papers Regional Sci Association, 7: 29–42

    Article  Google Scholar 

  • Olsson G. 1970. Explanation, prediction, and meaning variance: An assessment of distance interaction models. Econ Geogr, 46: 223

    Article  Google Scholar 

  • Sit V F. 1999. Social areas in Beijing. Geogr Ann Ser A-Phys Geogr, 81: 203–221

    Article  Google Scholar 

  • Skinner G W, Henderson M. 1999. A hierarchical regional space model for contemporary China: Analyzing the urban hierarchy. In: Geoinformatics’ 99 Conference. China Data Center, University of Michigan

    Google Scholar 

  • Song S, Zhang H. 2002. Urbanisation and city size distribution in China. Urban Studies, 39: 2317–2327

    Article  Google Scholar 

  • Stewart J Q. 1948. Demographic gravitation: Evidence and applications. Sociometry, 11: 31

    Article  Google Scholar 

  • Stone C. 1989. Regime Politics: Governing Atlanta, 1946–1988. Lawrence: University Press of Kansas

    Google Scholar 

  • Stone C N. 1993. Urban regimes and the capacity to govern: A political economy approach. J Urban Affairs, 15: 1–28

    Article  Google Scholar 

  • Tian G, Liu J, Xie Y, Yang Z, Zhuang D, Niu Z. 2005. Analysis of spatiotemporal dynamic pattern and driving forces of urban land in China in 1990s using TM images and GIS. Cities, 22: 400–410

    Article  Google Scholar 

  • Tinkler K J. 1979. Graph theory. Prog Geogr, 3: 85–116

    Article  Google Scholar 

  • Wang G, Shen J. 2002. A study of the urban comprehensive competitiveness of cities at prefecture level or above in China (in Chinese). Fudan J-Soc Sci, 3: 69–77

    Google Scholar 

  • Wu F. 2005. Guest editorial—The city of transition and the transition of cities. Urban Geogr, 26: 100–106

    Article  Google Scholar 

  • Wu F, Martin D. 2002. Urban expansion simulation of Southeast England using population surface modelling and cellular automata. Environ Plan A, 34: 1855–1876

    Article  Google Scholar 

  • Yeh A G O, Xu X. 1996. Urbanization and urban system development in China. In: Lo F, Yeung Y, eds. Emerging World Cities in Pacific Asia. Tokyo: United Nations University Press

    Google Scholar 

  • Yin H. 2005. A theoretic analysis of ascertaining the Cities’ Gravitation-Regions (in Chinese). J Fin Econ, 11: 108–114

    Google Scholar 

  • Zhao S X B, Chan R C K, Sit K T O. 2003. Globalization and the dominance of large cities in contemporary China. Cities, 20: 265–278

    Article  Google Scholar 

  • Zheng Y, Chen T, Cai J, Liu S. 2009. Regional concentration and regionbased urban transition: China’s mega-urban region formation in the 1990s. Urban Geogr, 30: 312–333

    Article  Google Scholar 

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Correspondence to Huhua Cao.

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Han, R., Cao, H. & Liu, Z. Studying the urban hierarchical pattern and spatial structure of China using a synthesized gravity model. Sci. China Earth Sci. 61, 1818–1831 (2018). https://doi.org/10.1007/s11430-016-9191-5

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  • DOI: https://doi.org/10.1007/s11430-016-9191-5

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