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The detection of natural cities in the Netherlands—Nocturnal satellite imagery and Zipf’s law
[Die Abgrenzung natürlicher Städte in den Niederlanden: Nachtsatellitenbilder und das Zipf-Gesetz]

Author

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  • Rolf Bergs

    (PRAC Bergs & Issa Partnership Co.)

Abstract

How to detect the true extent of cities in highly urbanized countries? This paper addresses the delineation of natural urban and non-urban space and its change based on a wider understanding of spatial heterogeneity. The Netherlands is selected as a case study. “Natural” means the extent of urban space irrespective of administrative boundaries. The database, used for this study, is radiance-calibrated nocturnal satellite imagery from the Defence Meteorological Satellite Program (DMSP). Extraction of cities is done by K-means segmentation. Based on the variance of luminosity it is possible to detect natural urban space. After removal of outliers in the skewed pixel distributions and after correction of “blooming” (over-glow of light emission) Zipf’s law is then applied as a test for segmentation adequacy. The comparative analysis for the years 1996 and 2011 shows that the rank-size distribution of natural cities is well confirmed by Zipf’s law, in contrast to that of administrative cities.

Suggested Citation

  • Rolf Bergs, 2018. "The detection of natural cities in the Netherlands—Nocturnal satellite imagery and Zipf’s law [Die Abgrenzung natürlicher Städte in den Niederlanden: Nachtsatellitenbilder und das Zipf-Gesetz]," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 38(2), pages 111-140, October.
    • Handle: RePEc:spr:jahrfr:v:38:y:2018:i:2:d:10.1007_s10037-018-0122-6
    DOI: 10.1007/s10037-018-0122-6
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    References listed on IDEAS

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    1. Kristian Giesen & Jens Südekum, 2011. "Zipf's law for cities in the regions and the country," Journal of Economic Geography, Oxford University Press, vol. 11(4), pages 667-686, July.
    2. Xavier Gabaix, 2016. "Power Laws in Economics: An Introduction," Journal of Economic Perspectives, American Economic Association, vol. 30(1), pages 185-206, Winter.
    3. Paul Krugman, 1997. "Development, Geography, and Economic Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 026261135x, April.
    4. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    5. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    6. Henri L.F. de Groot & Gerard Marlet & Coen Teulings & Wouter Vermeulen, 2015. "Cities and the Urban Land Premium," Books, Edward Elgar Publishing, number 16515.
    7. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    8. Starrett, David, 1978. "Market allocations of location choice in a model with free mobility," Journal of Economic Theory, Elsevier, vol. 17(1), pages 21-37, February.
    9. Charlotta Mellander & José Lobo & Kevin Stolarick & Zara Matheson, 2015. "Night-Time Light Data: A Good Proxy Measure for Economic Activity?," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-18, October.
    10. Rosen, Kenneth T. & Resnick, Mitchel, 1980. "The size distribution of cities: An examination of the Pareto law and primacy," Journal of Urban Economics, Elsevier, vol. 8(2), pages 165-186, September.
    11. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    12. Vernon Henderson & Adam Storeygard & David N. Weil, 2011. "A Bright Idea for Measuring Economic Growth," American Economic Review, American Economic Association, vol. 101(3), pages 194-199, May.
    13. Peter H. Egger & Gabriel Loumeau & Nicole Püschel, 2017. "Natural City Growth in the People's Republic of China," Asian Development Review, MIT Press, vol. 34(2), pages 51-85, September.
    14. Tialda Haartsen & Paulus P.P. Huigen & Peter Groote, 2003. "Rural Areas in the Netherlands," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 94(1), pages 129-136, February.
    15. Gabaix, Xavier & Ibragimov, Rustam, 2011. "Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 24-39.
    16. Brakman,Steven & Garretsen,Harry & van Marrewijk,Charles, 2009. "The New Introduction to Geographical Economics," Cambridge Books, Cambridge University Press, number 9780521875325, December.
    17. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    18. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
    19. Gan, Li & Li, Dong & Song, Shunfeng, 2006. "Is the Zipf law spurious in explaining city-size distributions?," Economics Letters, Elsevier, vol. 92(2), pages 256-262, August.
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    Cited by:

    1. Sun, Xiangdong & Yuan, Ouyang & Xu, Zhao & Yin, Yanhui & Liu, Qian & Wu, Ling, 2021. "Did Zipf's Law hold for Chinese cities and why? Evidence from multi-source data," Land Use Policy, Elsevier, vol. 106(C).
    2. Rolf Bergs & Rüdiger Budde, 2022. "The potential of small-scale spatial data in regional science," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 42(2), pages 97-110, August.
    3. Adele Sateriano & Giovanni Quaranta & Rosanna Salvia & Francisco Escrivà Saneugenio & Alvaro Marucci & Luca Salvati & Barbara Zagaglia & Francesco Chelli, 2024. "Envisaging the Intrinsic Departure from Zipf’s Law as an Indicator of Economic Concentration along Urban–Rural Gradients," Land, MDPI, vol. 13(4), pages 1-15, March.
    4. Rolf Bergs, 2021. "Spatial dependence in the rank-size distribution of cities – weak but not negligible," PLOS ONE, Public Library of Science, vol. 16(2), pages 1-16, February.

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