The detection of natural cities in the Netherlands—Nocturnal satellite imagery and Zipf’s law
Tóm tắt
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.
Tài liệu tham khảo
Alexander C (1965) The city is not a tree. Arch Forum 122(1):58–62
Amaral S, Monteiro AVM, Camara G, Quintanilha JA (2006) DMSP/OLS night-time light imagery for urban population estimates in the Brazilian Amazon. Int J Remote Sens 27(5):855–870
Bagan H, Yamagata Y (2015) Analysis of urban growth and estimating population density using satellite images of nighttime lights and land-use and population data. Gisci Remote Sens 52(6):765–780
Bergs R (2012) Cross-border Cooperation, Regional Disparities and Integration of Markets in the EU. J Borderl Stud 27(3):345–363
Brakman S, Garretsen H, van Marrewijk C, van den Berg M (1999) The return of Zipf: understanding the rank-size distribution. J Reg Sci 39(1):183–213
Brakman S, Garretsen H, van Marrewijk C (2009) The new introduction to geographical economics. Cambridge University Press, Cambridge
Budde R, Neumann U (2016) Gravitation and dispersion—a disaggregate view on urban agglomeration and sprawl in Germany. Paper, Scorus Conference, Lisbon
Duranton G (2007) Urban evolutions: the fast, the slow, and the still. Am Econ Rev 97(1):197–221
Eeckhout J (2004) Gibrat’s law for (all) cities. Am Econ Rev 94(5):1429–1451
Egger PH, Lumeau G, Püschel N (2017) Natural city growth in the people’s republic of China. Asian Dev Rev 34(2):51–85
Elvidge CD, Safran J, Nelson IL, Tuttle BT, Hobson VR, Baugh KE, Dietz JB, Erwin EH (2004) Area and position accuracy of DMSP nighttime lights data. In: Lunetta RS, Lyon JG (eds) Remote sensing and GIS accuracy assessment. CRC Press, Boca Raton, pp 281–291
Eurostat (2017) Urban-rural typology. http://ec.europa.eu/eurostat/statistics-explained/index.php/Urban-rural_typology#Database. Accessed 30 May 2017
Fujita M, Krugman P, Venables AJ (1999) The spatial economy: cities regions and international trade. MIT Press, Cambridge (Mass.)
Gabaix X (1999a) Zipf’s law and the growth of cities. Am Econ Rev 89(2):129–132
Gabaix X (1999b) Zipf law for cities: an explanation. Q J Econ 114(3):739–767
Gabaix X (2016) Power laws in economics: an introduction. J Econ Perspect 30(1):185–206
Gabaix X, Ibragimov R (2011) Rank-1/2: A simple way to improve the OLS estimation of tail exponents. J Bus Econ Stat 29(1):24–39
Gan L, Li D, Song S (2006) Is the Zipf law spurious in explaining city-size distributions? Econ Lett 92(2):256–262
Gehlke CE, Biehl K (1934) Certain effects of grouping upon the size of the correlation coefficient in census tract material. J Am Stat Assoc 29(185A):169–170
Ghosh T, Powell RL, Elvidge CD, Baugh KE, Sutton PC, Anderson S (2010) Shedding light on the global distribution of economic activity. Open Geogr J 3:147–160
de Groot H, Marlet G, Teulings C, Vermeulen W (2015) Cities and the urban land premium. Edward Elgar, Cheltenham
Haartsen T, Huigen PPP, Groote P (2003) Rural Areas in the Netherlands. Tijdschr Econ Soc Geogr 94(1):129–136
van der Hejde P (2012) New urban centres in the Netherlands. Tijdschr Econ Soc Geogr 103(3):362–373
Henderson V, Storeygard A, Weil DN (2011) A bright idea for measuring economic growth. Am Econ Rev 101(3):194–199
Hsu FC, Baugh KE, Ghosh T, Zhizhin M, Elvidge CD (2015) DMSP-OLS radiance calibrated nighttime lights time series with intercalibration. Remote Sens (Basel) 7(2):1855–1876
Jiang B (2015) Geospatial analysis requires a different way of thinking: the problem of spatial heterogeneity. GeoJournal 80(1):1–13
Jiang B, Miao Y (2014) The evolution of natural cities from the perspective of location-based social media. Prof Geogr 67(2):295–306
Jiang B, Yin J, Liu Q (2015) Zipf’s law for all the natural cities around the world. Int J Geogr Inf Sci 29(3):498–522
Krugman P (1996) The self organizing economy. Blackwell, Cambridge (Mass.)
Krugman P (1997) Development, geography and economic theory. MIT Press, Cambridge (Mass.)
Liu Q (2014) A Case Study on the Extraction of the Natural Cities from Nightlight Image of the United States of America. Master thesis, University of Gävle
Malevergne Y, Pisarenko V, Sornette D (2011) Testing the Pareto against the lognormal distributions with the uniformly most powerful unbiased test applied to the distribution of cities. Phys Rev E 83(3):36111
Mellander C, Stolarick K, Matheson Z, Lobo J (2013) Night-time light data: a good proxy measure for economic activity? Martin Prosperity Institute, Toronto
OECD (1994) Creating indicators for shaping territorial policy. OECD, Paris
OECD (2013) Definition of Functional Urban Areas (FUA) for the OECD metropolitan database. OECD, Paris
Pandiya M, Baxi A, Potdar MB, Kalubarme MH, Agarwal B (2013) Comparison of various classification techniques for satellite data. Int J Sci Eng Res 4(1):1–6
Reggiani A, Nijkamp P (2015) Did Zipf anticipate Socio-economic Spatial Networks? Environ Plann B 42(3):468–489
Rosen KT, Resnick M (1980) The size and distribution of cities: an examination of Pareto law and primacy. J Urban Econ 8(2):165–186
Small C, Pozzi F, Elvidge CD (2005) Spatial analysis of global urban extent from DMSP-OLS night lights. Remote Sens Environ 96(3–4):277–291
Soo KT (2005) Zipf’s law for cities: a cross country investigation. Reg Sci Urban Econ 35(3):239–263
Starrett D (1978) Market allocations of location choice in a model with free mobility. J Econ Theory 17(1):21–37
Stefanovic IL, Scharper SB (eds) (2012) The natural city: re-envisioning the built environment. University of Toronto Press, Toronto
Suedekum J, Giesen K (2011) Zipf’s law for cities in the regions and the country. J Econ Geogr 11(4):667–686
Sutton P (1998) Modelling population density with night-time satellite imagery and GIS. Comput Environ Urban Syst 21(3–4):227–244
Vandervieren E, Huber M (2004) An adjusted box-plot for skewed distributions. In: Antoch J (ed) Compstat 2004 Symposium. Physica, Springer, Heidelberg, pp 1933–1940
Wikipedia (2017) Gemeentelijke Herindelingen. https://nl.wikipedia.org/wiki/Gemeentelijke_herindelingen_in_Nederland. Accessed 18 Dec 2017
Wu S (2015) Zipf’s Law for Natural Cities Extracted from Location-Based Social Media Data. Master thesis, University of Gävle
Yang W, Hou K, Liu B, Yu F, Lin L (2017) Two-stage clustering technique based on the neighboring union histogram for Hyperspectral remote sensing images. IEEE Access 5:5640–5647
Zipf GK (1949) Human behaviour and the principles of least effort. Addison Wesley, New York