Skip to main content
Top
Published in: The Annals of Regional Science 2/2017

29-06-2017 | Original Paper

One country, two “urban” systems: focusing on bimodality in China’s city-size distribution

Authors: Xin Li, Kyung-Min Nam

Published in: The Annals of Regional Science | Issue 2/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this study, we demonstrate the existence of bimodality in China’s city-size distribution and develop an urban-growth forecast model that incorporates this bimodality. Main data for our analysis are \(0.{25}^{\circ }\times 0.{25}^{\circ }\) population density grids for the past 32 years, created from China’s official census data and county-level statistics. Our results show that the mixture of two Gaussian distributions outperforms unimodal distributions in explaining China’s historic urban-growth patterns, suggesting that the conventional unitary urban-hierarchy assumption lacks ground in China’s context. We also find that the higher-density mixture component increasingly dominates the entire distribution, and this gradual transition toward a unimodal city-size distribution is partly related to increased domestic population mobility.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Footnotes
1
As of 2014, the urban land area of each city was as follows (NBSC 2015): Shanghai (866 \(\hbox {km}^{2})\), Beijing (1386 \(\hbox {km}^{2})\), Guangzhou (1035 \(\hbox {km}^{2})\), Chongqing (1231 \(\hbox {km}^{2})\), Chengdu (604 \(\hbox {km}^{2})\), Tianjin (738 \(\hbox {km}^{2})\), Shenzhen (890 \(\hbox {km}^{2})\), Harbin (401 \(\hbox {km}^{2})\), Wuhan (553 \(\hbox {km}^{2})\), and Suzhou (447 \(\hbox {km}^{2})\).
 
2
A caveat in applying this standard method for data conversion is potential measurement errors, arising from an underlying assumption—geographically even distribution of population within a given census tract. In general, such errors are not serious if the grid resolution is not exceedingly high, compared to that of the census tract (high-to-low resolution conversion). However, data quality can be questionable in the opposite case (low-to-high resolution conversion).
 
3
Rank Instability Index (RII) is defined as follows (Nam and Reilly 2013).
$$\begin{aligned} \hbox {RII} (\%) = \frac{1}{N}\sum \limits _{i=1}^N {\frac{\left| {R_i^t -R_i^0 } \right| }{R_i^0 }} \times 100 \end{aligned}$$
where and N mean the size rank of cell i in year t and the total number of grid cells analyzed, respectively.
 
4
Even in this case, multimodality in China’s city-size distribution does not disappear, although its degree declines. AIC and BIC still favor a mixture model even when the distribution is drawn from conventional population data constructed for prefecture and county boundaries. The LR test results also demonstrate that the mixture model significantly improves the goodness of fit, against the normal CDF.
 
Literature
go back to reference Amos OM Jr (1988) Unbalanced regional growth and regional income inequality in the latter stages of development. Reg Sci Urban Econ 18:549–566CrossRef Amos OM Jr (1988) Unbalanced regional growth and regional income inequality in the latter stages of development. Reg Sci Urban Econ 18:549–566CrossRef
go back to reference Anderson G, Ge Y (2005) The size distribution of Chinese cities. Reg Sci Urban Econ 35:756–776CrossRef Anderson G, Ge Y (2005) The size distribution of Chinese cities. Reg Sci Urban Econ 35:756–776CrossRef
go back to reference Asadoorian MO (2008) Simulating the spatial distribution of population and emissions to 2100. Environ Resour Econ 39:199–221CrossRef Asadoorian MO (2008) Simulating the spatial distribution of population and emissions to 2100. Environ Resour Econ 39:199–221CrossRef
go back to reference Au C-C, Henderson JV (2006) Are Chinese cities too small? Rev Econ Stud 73:549–576CrossRef Au C-C, Henderson JV (2006) Are Chinese cities too small? Rev Econ Stud 73:549–576CrossRef
go back to reference Berry BJL, Okulicz-Kozaryn A (2012) The city size distribution debate: resolution for US urban regions and megalopolitan areas. Cities 29:S17–S23CrossRef Berry BJL, Okulicz-Kozaryn A (2012) The city size distribution debate: resolution for US urban regions and megalopolitan areas. Cities 29:S17–S23CrossRef
go back to reference Bosker M, Brakman S, Garretsen H, Schramm M (2012) Relaxing hukou: increased labor mobility and China’s economic geography. J Urban Econ 72:252–266CrossRef Bosker M, Brakman S, Garretsen H, Schramm M (2012) Relaxing hukou: increased labor mobility and China’s economic geography. J Urban Econ 72:252–266CrossRef
go back to reference Carroll GR (1982) National city-size distribution: what do we know after 67 years of research? Prog Hum Geogr 6:1–43CrossRef Carroll GR (1982) National city-size distribution: what do we know after 67 years of research? Prog Hum Geogr 6:1–43CrossRef
go back to reference Cartier C (2015) Territorial urbanization and the party-state in China. Territ Polit Gov 3:294–320CrossRef Cartier C (2015) Territorial urbanization and the party-state in China. Territ Polit Gov 3:294–320CrossRef
go back to reference Chan KW (2009) The Chinese hukou system at 50. Eurasian Geogr Econ 50:197–221CrossRef Chan KW (2009) The Chinese hukou system at 50. Eurasian Geogr Econ 50:197–221CrossRef
go back to reference Chan KW (2013) China, internal migration. In: Ness I (ed) The encyclopedia of global human migration. Wiley-Blackwell, Chichester, West Sussex Chan KW (2013) China, internal migration. In: Ness I (ed) The encyclopedia of global human migration. Wiley-Blackwell, Chichester, West Sussex
go back to reference Chen Y, Zhou Y (2008) Scaling laws and indications of self-organized criticality in urban systems. Chaos Solitons Fract 35:85–98CrossRef Chen Y, Zhou Y (2008) Scaling laws and indications of self-organized criticality in urban systems. Chaos Solitons Fract 35:85–98CrossRef
go back to reference Chen Z, Fu S, Zhang D (2013) Searching for the parallel growth of cities in China. Urban Stud 50:2118–2135CrossRef Chen Z, Fu S, Zhang D (2013) Searching for the parallel growth of cities in China. Urban Stud 50:2118–2135CrossRef
go back to reference Córdoba J-C (2008) On the distribution of city sizes. J Urban Econ 63:177–197CrossRef Córdoba J-C (2008) On the distribution of city sizes. J Urban Econ 63:177–197CrossRef
go back to reference De Cola L (1985) Lognormal estimates of macroregional city-size distributions, 1950–1970. Environ Plan A 17:1637–1652CrossRef De Cola L (1985) Lognormal estimates of macroregional city-size distributions, 1950–1970. Environ Plan A 17:1637–1652CrossRef
go back to reference Diamond JM (1997) Guns, germs, and steel: the fates of human societies. W.W. Norton & Company, New York Diamond JM (1997) Guns, germs, and steel: the fates of human societies. W.W. Norton & Company, New York
go back to reference Eeckhout J (2004) Gibrat’s law for (all) cities. Am Econ Rev 94:1429–1451CrossRef Eeckhout J (2004) Gibrat’s law for (all) cities. Am Econ Rev 94:1429–1451CrossRef
go back to reference Eeckhout J (2009) Gibrat’s law for (all) cities: a reply. Am Econ Rev 99:1676–1683CrossRef Eeckhout J (2009) Gibrat’s law for (all) cities: a reply. Am Econ Rev 99:1676–1683CrossRef
go back to reference Fan CC (1999) The vertical and horizontal expansions of China’s city system. Urban Geogr 20:493–515CrossRef Fan CC (1999) The vertical and horizontal expansions of China’s city system. Urban Geogr 20:493–515CrossRef
go back to reference Fan S, Kanbur R, Zhang X (2009) Regional inequality in China: trends, explanations and policy response. Routledge, New York Fan S, Kanbur R, Zhang X (2009) Regional inequality in China: trends, explanations and policy response. Routledge, New York
go back to reference Fujita M, Krugman P, Venables AJ (1999) The spatial economy: cities, regions, and international trade. MIT Press, Cambridge Fujita M, Krugman P, Venables AJ (1999) The spatial economy: cities, regions, and international trade. MIT Press, Cambridge
go back to reference Fujita M, Mori T, Henderson JV, Kanemoto Y (2004) Spatial distribution of economic activities in Japan and China. In: Henderson JV, Thisse J-F (eds) Handbook of regional and urban economics, vol 4. Cities and geography. Elsevier, New York, pp 2911–2980 Fujita M, Mori T, Henderson JV, Kanemoto Y (2004) Spatial distribution of economic activities in Japan and China. In: Henderson JV, Thisse J-F (eds) Handbook of regional and urban economics, vol 4. Cities and geography. Elsevier, New York, pp 2911–2980
go back to reference Gabaix X (1999) Zipf’s law for cities: an explanation. Q J Econ 114:739–767CrossRef Gabaix X (1999) Zipf’s law for cities: an explanation. Q J Econ 114:739–767CrossRef
go back to reference Gabaix X, Ioannides YM (2004) The evolution of city size distributions. In: Henderson JV, Thisse J-F (eds) Handbook of regional and urban economics, volume 4: cities and geography, vol 4. Elsevier, New York Gabaix X, Ioannides YM (2004) The evolution of city size distributions. In: Henderson JV, Thisse J-F (eds) Handbook of regional and urban economics, volume 4: cities and geography, vol 4. Elsevier, New York
go back to reference Giesen K, Zimmermann A, Suedekum J (2010) The size distribution across all cities: double Pareto lognormal strikes. J Urban Econ 68:129–137CrossRef Giesen K, Zimmermann A, Suedekum J (2010) The size distribution across all cities: double Pareto lognormal strikes. J Urban Econ 68:129–137CrossRef
go back to reference González-Val R (2015) Size distributions for all cities: which one is best? Pap Reg Sci 94:177–196 González-Val R (2015) Size distributions for all cities: which one is best? Pap Reg Sci 94:177–196
go back to reference Guérin-Pace F (1995) Rank-size distribution and the process of urban growth. Urban Stud 32:551–562CrossRef Guérin-Pace F (1995) Rank-size distribution and the process of urban growth. Urban Stud 32:551–562CrossRef
go back to reference Holmes TJ, Lee S (2010) Cities as six-by-six-mile squares: Zipf’s law? In: Glaeser EL (ed) Agglomeration economics. University of Chicago Press, Chicago, pp 105–131CrossRef Holmes TJ, Lee S (2010) Cities as six-by-six-mile squares: Zipf’s law? In: Glaeser EL (ed) Agglomeration economics. University of Chicago Press, Chicago, pp 105–131CrossRef
go back to reference Huang Q, He C, Gao B, Yang Y, Liu Z, Zhao Y, Dou Y (2015) Detecting the 20 year city-size dynamics in China with a rank clock approach and DMSP/OLS nighttime data. Landsc Urban Plan 137:138–148CrossRef Huang Q, He C, Gao B, Yang Y, Liu Z, Zhao Y, Dou Y (2015) Detecting the 20 year city-size dynamics in China with a rank clock approach and DMSP/OLS nighttime data. Landsc Urban Plan 137:138–148CrossRef
go back to reference Ioannides YM, Overman HG (2003) Zipf’s law for cities: an empirical examination. Reg Sci Urban Econ 33:127–137CrossRef Ioannides YM, Overman HG (2003) Zipf’s law for cities: an empirical examination. Reg Sci Urban Econ 33:127–137CrossRef
go back to reference Ioannides Y, Skouras S (2013) U.S. city size distribution: robustly Pareto, but only in the tail. J Urban Econ 73:18–29CrossRef Ioannides Y, Skouras S (2013) U.S. city size distribution: robustly Pareto, but only in the tail. J Urban Econ 73:18–29CrossRef
go back to reference Jones B, O’Neill BC (2013) Historically grounded spatial population projections for the continental United States. Environ Res Lett 8:044021CrossRef Jones B, O’Neill BC (2013) Historically grounded spatial population projections for the continental United States. Environ Res Lett 8:044021CrossRef
go back to reference Kim E, Hewings G, Nam K-M (2014) Optimal urban population size: national vs local economic efficiency. Urban Stud 51:428–445CrossRef Kim E, Hewings G, Nam K-M (2014) Optimal urban population size: national vs local economic efficiency. Urban Stud 51:428–445CrossRef
go back to reference Krugman P (1991) Increasing returns and economic geography. J Polit Econ 99:483–499CrossRef Krugman P (1991) Increasing returns and economic geography. J Polit Econ 99:483–499CrossRef
go back to reference Krugman P (1996) The self-organizing economy. Blackwell, Malden Krugman P (1996) The self-organizing economy. Blackwell, Malden
go back to reference Lewis AW (1954) Economic development with unlimited supplies of labor. Manch Sch 22:139–191CrossRef Lewis AW (1954) Economic development with unlimited supplies of labor. Manch Sch 22:139–191CrossRef
go back to reference Li S, Sui D (2013) Pareto’s law and sample size: a case study of China’s urban system 1984–2008. GeoJournal 78:615–626CrossRef Li S, Sui D (2013) Pareto’s law and sample size: a case study of China’s urban system 1984–2008. GeoJournal 78:615–626CrossRef
go back to reference Liang Z, Li Z, Ma Z (2014) Changing patterns of the floating population in China, 2000–2010. Popul Dev Rev 40:695–716CrossRef Liang Z, Li Z, Ma Z (2014) Changing patterns of the floating population in China, 2000–2010. Popul Dev Rev 40:695–716CrossRef
go back to reference Luckstead J, Devadoss S (2014) A comparison of city size distributions for China and India from 1950 to 2010. Econ Lett 124:290–295CrossRef Luckstead J, Devadoss S (2014) A comparison of city size distributions for China and India from 1950 to 2010. Econ Lett 124:290–295CrossRef
go back to reference Malacarne LC, Mendes RS, Lenzi EK (2001) Q-exponential distribution in urban agglomeration. Phys Rev E 65:1–3CrossRef Malacarne LC, Mendes RS, Lenzi EK (2001) Q-exponential distribution in urban agglomeration. Phys Rev E 65:1–3CrossRef
go back to reference Malecki EJ (1980) Growth and change in the analysis of rank-size distributions: empirical findings. Environ Plan A 12:41–52CrossRef Malecki EJ (1980) Growth and change in the analysis of rank-size distributions: empirical findings. Environ Plan A 12:41–52CrossRef
go back to reference Nam K-M, Reilly JM (2013) City size distribution as a function of socioeconomic conditions: an eclectic approach to downscaling global population. Urban Stud 50:208–225CrossRef Nam K-M, Reilly JM (2013) City size distribution as a function of socioeconomic conditions: an eclectic approach to downscaling global population. Urban Stud 50:208–225CrossRef
go back to reference National Bureau of Statistics of China (NBSC) (2015) China city statistical yearbook. China Statistics Press, Beijing National Bureau of Statistics of China (NBSC) (2015) China city statistical yearbook. China Statistics Press, Beijing
go back to reference National Bureau of Statistics of China (NBSC) (various years) China statistical yearbook. China Statistics Press, Beijing National Bureau of Statistics of China (NBSC) (various years) China statistical yearbook. China Statistics Press, Beijing
go back to reference Parr JB (1985) A note on the size distribution of cities over time. J Urban Econ 18:199–212CrossRef Parr JB (1985) A note on the size distribution of cities over time. J Urban Econ 18:199–212CrossRef
go back to reference Peng G (2010) Zipf’s law for Chinese cities: rolling sample regressions. Phys A 389:3804–3813CrossRef Peng G (2010) Zipf’s law for Chinese cities: rolling sample regressions. Phys A 389:3804–3813CrossRef
go back to reference Petrakos G, Mardakis P, Caravel H (2000) Recent developments in the Greek system of urban centres. Environ Plan B 27:169–181CrossRef Petrakos G, Mardakis P, Caravel H (2000) Recent developments in the Greek system of urban centres. Environ Plan B 27:169–181CrossRef
go back to reference Phillips DR, Yeh AGO (1990) Foreign investment and trade: impact on spatial structure of the economy. In: Cannon T, Jenkins A (eds) The geography of contemporary China: the impact of Deng Xiaoping’s decade. Routledge, London, pp 224–248 Phillips DR, Yeh AGO (1990) Foreign investment and trade: impact on spatial structure of the economy. In: Cannon T, Jenkins A (eds) The geography of contemporary China: the impact of Deng Xiaoping’s decade. Routledge, London, pp 224–248
go back to reference Portnov BA, Reiser B, Schwartz M (2012) Does Gibrat’s law for cities hold when location counts? Ann Reg Sci 48:151–178CrossRef Portnov BA, Reiser B, Schwartz M (2012) Does Gibrat’s law for cities hold when location counts? Ann Reg Sci 48:151–178CrossRef
go back to reference Reed WJ (2002) On the rank-size distribution for human settlements. J Reg Sci 42:1–17CrossRef Reed WJ (2002) On the rank-size distribution for human settlements. J Reg Sci 42:1–17CrossRef
go back to reference Richardson HW, Townpoe PM (1987) Regional policies in developing countries. In: Nijkamp P (ed) Handbook of regional and urban economics, vol 1. Regional economics. Elsevier, Amsterdam, pp 647–678CrossRef Richardson HW, Townpoe PM (1987) Regional policies in developing countries. In: Nijkamp P (ed) Handbook of regional and urban economics, vol 1. Regional economics. Elsevier, Amsterdam, pp 647–678CrossRef
go back to reference Schaffar A, Dimou M (2012) Rank-size city dynamics in China and India, 1981–2004. Reg Stud 46:707–721CrossRef Schaffar A, Dimou M (2012) Rank-size city dynamics in China and India, 1981–2004. Reg Stud 46:707–721CrossRef
go back to reference Skeldon R (1990) Population mobility in developing countries: a reinterpretation. Belhaven Press, London Skeldon R (1990) Population mobility in developing countries: a reinterpretation. Belhaven Press, London
go back to reference Socioeconomic Data and Applications Center (SEDAC) (2005) Gridded population of the world, version 3, and the global rural-urban mapping project. Columbia University, SEDAC Socioeconomic Data and Applications Center (SEDAC) (2005) Gridded population of the world, version 3, and the global rural-urban mapping project. Columbia University, SEDAC
go back to reference Song S, Zhang KH (2002) Urbanisation and city size distribution in China. Urban Stud 39:2317–2327CrossRef Song S, Zhang KH (2002) Urbanisation and city size distribution in China. Urban Stud 39:2317–2327CrossRef
go back to reference Soo KT (2007) Zipf’s law and urban growth in Malaysia. Urban Stud 44:1–14CrossRef Soo KT (2007) Zipf’s law and urban growth in Malaysia. Urban Stud 44:1–14CrossRef
go back to reference Soo KT (2014) Zipf, Gibrat and geography: evidence from China, India and Brazil. Pap Reg Sci 93:159–181CrossRef Soo KT (2014) Zipf, Gibrat and geography: evidence from China, India and Brazil. Pap Reg Sci 93:159–181CrossRef
go back to reference Suarez-Villa L (1988) Metropolitan evolution, sectoral economic change, and the city size distribution. Urban Stud 25:1–20CrossRef Suarez-Villa L (1988) Metropolitan evolution, sectoral economic change, and the city size distribution. Urban Stud 25:1–20CrossRef
go back to reference Thomas I (1985) City-size distribution and the size of urban systems. Environ Plan A 17:905–913CrossRef Thomas I (1985) City-size distribution and the size of urban systems. Environ Plan A 17:905–913CrossRef
go back to reference Todaro MP (1980) Internal migration in developing countries: a survey. In: Easterlin RA (ed) Population and economic change in developing countries. University of Chicago Press, Chicago, pp 361–402 Todaro MP (1980) Internal migration in developing countries: a survey. In: Easterlin RA (ed) Population and economic change in developing countries. University of Chicago Press, Chicago, pp 361–402
go back to reference White MJ, Wu F, Chen YP (2008) Urbanization, institutional change, and sociospatial inequality in China, 1990–2001. In: Logan JR (ed) Urban China in transition. Blackwell, Malden, pp 115–139CrossRef White MJ, Wu F, Chen YP (2008) Urbanization, institutional change, and sociospatial inequality in China, 1990–2001. In: Logan JR (ed) Urban China in transition. Blackwell, Malden, pp 115–139CrossRef
go back to reference Wu F (2015) Planning for growth: urban and regional planning in China. Routledge, New York Wu F (2015) Planning for growth: urban and regional planning in China. Routledge, New York
go back to reference Wu W, Gaubatz P (2013) The Chinese city. Routledge, New York Wu W, Gaubatz P (2013) The Chinese city. Routledge, New York
go back to reference Xu Z, Zhu N (2009) City size distribution in China: are large cities dominant? Urban Stud 46:2159–2185CrossRef Xu Z, Zhu N (2009) City size distribution in China: are large cities dominant? Urban Stud 46:2159–2185CrossRef
go back to reference Ye X, Xie Y (2012) Re-examination of Zipf’s law and urban dynamic in China: a regional approach. Ann Reg Sci 49:135–156CrossRef Ye X, Xie Y (2012) Re-examination of Zipf’s law and urban dynamic in China: a regional approach. Ann Reg Sci 49:135–156CrossRef
go back to reference Yeh AGO, Xu X (1984) Provincial variation of urbanization and urban primacy in China. Ann Reg Sci 18:1–20CrossRef Yeh AGO, Xu X (1984) Provincial variation of urbanization and urban primacy in China. Ann Reg Sci 18:1–20CrossRef
go back to reference Yu L (2014) Chinese city and regional planning systems. Ashgate, Farnham Yu L (2014) Chinese city and regional planning systems. Ashgate, Farnham
Metadata
Title
One country, two “urban” systems: focusing on bimodality in China’s city-size distribution
Authors
Xin Li
Kyung-Min Nam
Publication date
29-06-2017
Publisher
Springer Berlin Heidelberg
Published in
The Annals of Regional Science / Issue 2/2017
Print ISSN: 0570-1864
Electronic ISSN: 1432-0592
DOI
https://doi.org/10.1007/s00168-017-0838-1

Other articles of this Issue 2/2017

The Annals of Regional Science 2/2017 Go to the issue