Open Access

Reconsidering Zipf’s law for regional development: The case of settlements and cities in Croatia


Cite

Akinsete, A, Famoye, F & Lee, C 2008, ‘The beta-Pareto distribution’, Statistics, vol. 42, no. 6, pp. 547-563.AkinseteAFamoyeFLeeC2008‘The beta-Pareto distribution’Statistics42654756310.1080/02331880801983876Search in Google Scholar

Arshad, S, Hu, S & Ashraf, BN 2017, ‘Zipf’s law and city size distribution: A survey of the literature and future research agenda’, Physica A: Statistical Mechanics and its Applications, vol. 492, pp. 75-92.ArshadSHuSAshrafBN2017‘Zipf’s law and city size distribution: A survey of the literature and future research agenda’, Physica AStatistical Mechanics and its Applications492759210.1016/j.physa.2017.10.005Search in Google Scholar

Auerbach, F 1913, ‘Das gesetz der bevolkerungskoncentration’, Petermanns Geographische Mitteilungen, vol. 59, pp. 74-76.AuerbachF1913‘Das gesetz der bevolkerungskoncentration’Petermanns Geographische Mitteilungen597476Search in Google Scholar

Batty, M 2008, ‘The size, scale, and shape of cities’, Science, vol. 319, no. 5684, pp. 769-771.BattyM2008‘The size, scale, and shape of cities’Science319568476977110.1126/science.1151419Search in Google Scholar

Bee, M, Riccaboni M & Schiavo, S 2011, ‘Pareto versus lognormal: a Maximum entropy test’, Physical Review E, vol. 84, no. 2, 10.1103/PhysRevE.84.026104.BeeMRiccaboniMSchiavoS2011‘Pareto versus lognormal: a Maximum entropy test’Physical Review E84210.1103/PhysRevE.84.026104Open DOISearch in Google Scholar

Bee, M, Riccaboni M & Schiavo, S 2013, ‘The size distribution of U.S. cities: Not Pareto, even in the tail’, Economics Letters, vol. 120, pp. 233-237.BeeMRiccaboniMSchiavoS2013‘The size distribution of U.S. cities: Not Pareto, even in the tail’Economics Letters12023323710.1016/j.econlet.2013.04.035Search in Google Scholar

Borozan, D 2017, ‘Internal migration, regional economic convergence, and growth in Croatia’, International Regional Science Review, vol. 40, no. 2, pp. 141-163.BorozanD2017‘Internal migration, regional economic convergence, and growth in Croatia’International Regional Science Review40214116310.1177/0160017615572889Search in Google Scholar

Cheshire, P 1999, ‘Trends in sizes and structure of urban areas’, in Handbook of Regional and Urban Economics, vol. 3, eds P Cheshire & ES Mills, Elsevier, Amsterdam, pp. 1339–1373.CheshireP2017‘Trends in sizes and structure of urban areas’, in Handbook of Regional and Urban Economics3eds P Cheshire & ES Mills, Elsevier, Amsterdam1339137310.1016/S1574-0080(99)80004-2Search in Google Scholar

Cieślik, A & Teresiński, J 2016, ‘Does Zipf’s law hold for Polish cities?’, Miscellanea GeographicaRegional Studies on Development, vol. 20, no. 4, pp. 5-10.CieślikATeresińskiJ2016‘Does Zipf’s law hold for Polish cities?’Miscellanea Geographica – Regional Studies on Development20451010.1515/mgrsd-2016-0020Search in Google Scholar

Clauset, A, Shalizi, CR & Newman, MEJ 2009, ‘Power-law distributions in empirical data’, SIAM Review, vol. 51, no. 4, pp. 661-703.ClausetAShaliziCRNewmanMEJ2017‘Power-law distributions in empirical data’SIAM Review51466170310.1137/070710111Search in Google Scholar

Croatian Bureau of Statistics: Census of population, households and dwellings 2011. Available from: <http://www.dzs.hr/Hrv_Eng/publication/2011/SI-1441.pdf>. [10 November 2016]Croatian Bureau of StatisticsCensus of population, households and dwellings2011Available from<http://www.dzs.hr/Hrv_Eng/publication/2011/SI-1441.pdf>[10 November 2016]Search in Google Scholar

Croatian Law on Local and Regional self-government 2001. Availble from: <http://www.parliament.am/library/Tim/XORVATIA.pdf>. [10 November 2016]Croatian Law on Local and Regional self-government2001Availble from<http://www.parliament.am/library/Tim/XORVATIA.pdf>[10 November 2016]Search in Google Scholar

Deliktas, E, Önder, AÖ & Karadag, M 2013, ‘The size distribution of cities and determinants of city growth in Turkey’. European Planning Studies, vol. 21, no. 2, pp. 251-263.DeliktasEÖnderKaradagM2017‘The size distribution of cities and determinants of city growth in Turkey’European Planning Studies21225126310.1080/09654313.2012.722922Search in Google Scholar

Dimou, M & Schaffar, A 2009, ‘Urban hierarchies and city growth in the Balkans’. Urban Studies, vol. 46, no. 1, pp. 2891-2906.DimouMSchaffarA2017‘Urban hierarchies and city growth in the Balkans’Urban Studies4612891290610.1177/0042098009344993Search in Google Scholar

Eeckhout, J 2004, ‘Gibrat’s law for (all) cities’, The American Economic Review, vol. 94, no. 5, pp. 1429-1451.EeckhoutJ2017‘Gibrat’s law for (all) cities’The American Economic Review9451429145110.1257/0002828043052303Search in Google Scholar

Eeckhout, J 2009, ‘Gibrat’s law for (all) cities: Reply’, The American Economic Review, vol. 99, no. 4, pp. 1676-1683.EeckhoutJ2017‘Gibrat’s law for (all) cities: Reply’The American Economic Review9951676168310.1257/aer.99.4.1676Search in Google Scholar

Fazio, G & Modica, M 2015, ‘Pareto or log□normal? Best fit and truncation in the distribution of all cities’, Journal of Regional Science, vol. 55, no. 5, pp. 736-756.FazioGModicaM2017‘Pareto or log□normal? Best fit and truncation in the distribution of all cities’Journal of Regional Science55573675610.1111/jors.12205Search in Google Scholar

Gabaix, X & Ibragimov, R 2011, ‘Rank-1/2: A simple way to improve the OLS estimation of tail exponents’, Journal of Business & Economic Statistics, vol. 29, no. 1, pp. 24–39.GabaixXIbragimovR2017‘Rank-1/2: A simple way to improve the OLS estimation of tail exponents’Journal of Business & Economic Statistics291243910.3386/t0342Search in Google Scholar

Gabaix, X 1999a, ‘Zipf’s law and the growth of cities’, American Economic Review AEA papers and proceedings, pp. 129–132.GabaixX1999a‘Zipf’s law and the growth of cities’American Economic Review AEA papers and proceedings12913210.1257/aer.89.2.129Search in Google Scholar

Gabaix, X 1999b, ‘Zipf’s law for cities: An explanation’, Quarterly Journal of Economics, vol. 114, no. 3, pp. 739–767.GabaixX1999b‘Zipf’s law for cities: An explanation’Quarterly Journal of Economics114373976710.1162/003355399556133Search in Google Scholar

Gan, L, Li, D & Song, S 2006, ‘Is the Zipf law spurious in explaining city-size distributions?’, Economic Letters, vol. 92, pp. 256-262.GanLLiDSongS2017‘Is the Zipf law spurious in explaining city-size distributions?’Economic Letters9225626210.1016/j.econlet.2006.03.004Search in Google Scholar

Giesen, K & Suedekum, J 2009, ‘Zipf’s law for cities in the regions and the country’, Forschungs Institute zur Zukunft der Arbeit-Institute for the Study of Labor, IZA DP No. 3928, Bonn, Germany.GiesenKSuedekumJ2017‘Zipf’s law for cities in the regions and the country’Forschungs Institute zur Zukunft der Arbeit-Institute for the Study of Labor, IZA DP No3928BonnGermany10.2139/ssrn.1329566Search in Google Scholar

Giesen, K & Suedekum, J 2013, ‘City age and city size’, DICE Discussion paper No. 120. Düsseldorf University Press, ISSN 2190-9938, Düsseldorf, Germany.GiesenKSuedekumJ2017‘City age and city size’DICE Discussion paper No. 120.Düsseldorf University PressISSN 2190-9938, DüsseldorfGermanySearch in Google Scholar

Giesen, K, Zimmermann, A & Suedekum, J 2010, The size distribution across all cities-double Pareto lognormal strikes. Journal of Urban Economics, vol. 68, no. 2, pp. 129-137.GiesenKZimmermannASuedekumJ2010The size distribution across all cities-double Pareto lognormal strikesJournal of Urban Economics68512913710.1016/j.jue.2010.03.007Search in Google Scholar

Henderson, JV 1986, ‘Efficiency of resource usage and city size’, Journal of Urban Economics, vol. 19, pp. 47-70.HendersonJV2017‘Efficiency of resource usage and city size’Journal of Urban Economics19477010.1016/0094-1190(86)90030-6Search in Google Scholar

Holmes, TJ & Lee, S 2009, ‘Cities as six-by-six-mile squares: Zipf’s law?’ in The economics of agglomeration, ed EL Glaeser, University of Chicago Press, Chicago, pp. 105-131.HolmesTJLeeS2017‘Cities as six-by-six-mile squares: Zipf’s law?’ in The economics of agglomeration, ed EL GlaeserUniversity of Chicago PressChicago, pp.10513110.7208/chicago/9780226297927.003.0004Search in Google Scholar

Ioannides, YM & Overman HG 2000, ‘Zipf’s law for cities: An empirical examination’, Regional Science and Urban Economics, vol. 33, no. 2, pp. 127-137.IoannidesYMOvermanHG2000‘Zipf’s law for cities: An empirical examination’Regional Science and Urban Economics33512713710.1016/S0166-0462(02)00006-6Search in Google Scholar

Ioannides, YM & Skouras, S 2013 ‘U.S. city size distribution: Robustly Pareto but only in the tail’, Journal of Urban Economics, vol. 73, no. 1, pp. 18-29.IoannidesYMSkourasS2013‘U.S. city size distribution: Robustly Pareto but only in the tail’Journal of Urban Economics735182910.1016/j.jue.2012.06.005Search in Google Scholar

Jiang, B & Jia, T 2011, ‘Zipf’s law for all the natural cities in the United States: A geospatial perspective’, International Journal of Geographical Information Science, vol. 25, no. 8, pp. 1269-1281.JiangBJiaT2017‘Zipf’s law for all the natural cities in the United States: A geospatial perspective’International Journal of Geographical Information Science2551269128110.1080/13658816.2010.510801Search in Google Scholar

Jiang, B, Yin, J & Liu, Q 2015, ‘Zipf’s law for all the natural cities around the world’, International Journal of Geographical Information Science, vol. 29, no. 3, pp. 498-522.JiangBYinJLiuQ2017‘Zipf’s law for all the natural cities around the world’International Journal of Geographical Information Science29549852210.1080/13658816.2014.988715Search in Google Scholar

Jošić, M & Nikić, M 2013, ‘Gravity model and Zipf’s law: An indepth study into the nature of international trade’, Academic Journal of Interdisciplinary Studies MCSER Publishing-Rome, Italy, vol. 2, no. 9, pp. 583-588.JošićMNikićM2013‘Gravity model and Zipf’s law: An indepth study into the nature of international trade’Academic Journal of Interdisciplinary Studies MCSER Publishing-RomeItaly2558358810.5901/ajis.2013.v2n9p583Search in Google Scholar

Knudsen, T 2001, ‘Zipf’s law for cities and beyond: The case of Denmark’, American Journal of Economics and Sociology, vol. 60, no. 1, pp. 123-146.KnudsenT2017‘Zipf’s law for cities and beyond: The case of Denmark’American Journal of Economics and Sociology60512314610.1111/1536-7150.00057Search in Google Scholar

Krugman, P 1991, ‘Increasing returns and economic geography’, Journal of Political Economy, vol. 99, no. 3, pp. 483-499.KrugmanP2017‘Increasing returns and economic geography’Journal of Political Economy99548349910.3386/w3275Search in Google Scholar

Krugman, P 1996a, ‘Confronting the mystery of urban hierarchy’, Journal of the Japanese and International Economies, vol. 10, no. 4, pp. 399-418.KrugmanP1996a‘Confronting the mystery of urban hierarchy’Journal of the Japanese and International Economies10539941810.1006/jjie.1996.0023Search in Google Scholar

Krugman, P 1996b, ‘Urban Concentration: The role of increasing returns and transport costs’, International Regional Science Review, vol. 19, no. 1/2, pp. 5-30.KrugmanP1996b‘Urban Concentration: The role of increasing returns and transport costs’International Regional Science Review191/253010.1177/016001769601900202Search in Google Scholar

Luckstead, J & Devadoss, S 2017, ‘Pareto tails and lognormal body of US cities size distribution’, Physica A: Statistical Mechanics and its Applications, vol. 465, pp. 573-578.LucksteadJDevadossS2017‘Pareto tails and lognormal body of US cities size distribution’, Physica AStatistical Mechanics and its Applications46557357810.1016/j.physa.2016.08.061Search in Google Scholar

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’, Physical Review E, vol. 83, no. 3, org/10.1103/PhysRevE.83.036111.MalevergneYPisarenkoVSornetteD2017‘Testing the Pareto against the lognormal distributions with the uniformly most powerful unbiased test applied to the distribution of cities’Physical Review E833org/10.1103/PhysRevE.83.036111Open DOISearch in Google Scholar

Meen, D & Meen G 2003, ‘Social behaviour as a basis for modelling the urban housing market: A review’, Urban Studies, vol. 40, no. 5-6, pp. 917-935.MeenDMeenG2003‘Social behaviour as a basis for modelling the urban housing market: A review’Urban Studies405-691793510.1080/0042098032000074245Search in Google Scholar

Mikulić, D & Nagyszombaty, AG 2015, ‘Does international trade cause regional growth differentials in Croatia?’, Zbornik Radova Ekonomskog Fakulteta u Rijeci, vol. 33, no. 1, pp. 81-102.MikulićDNagyszombatyAG2017‘Does international trade cause regional growth differentials in Croatia?’Zbornik Radova Ekonomskog Fakulteta u Rijeci33581102Search in Google Scholar

Mikulić, D, Lovrinčević, AZ & Nagyszombaty, AG 2013, ‘Regional convergence in the European Union, new member states and Croatia’, South East European Journal of Economics and Business, vol. 8, no. 1, pp. 9-21.MikulićDLovrinčevićAZNagyszombatyAG2017‘Regional convergence in the European Union, new member states and Croatia’South East European Journal of Economics and Business8592110.2478/jeb-2013-0001Search in Google Scholar

Modica, M 2017, ‘The impact of the European Union integration on the city size distribution of the Member States’, Habitat International, vol. 70, pp. 103-113.ModicaM2017‘The impact of the European Union integration on the city size distribution of the Member States’Habitat International7010311310.1016/j.habitatint.2017.10.011Search in Google Scholar

Modica, M, Reggiani, A & Nijkamp, P 2015, ‘A comparative analysis of Gibrat’s and Zipf’s law on urban population’, Quaderni - Working Paper DSE N°1008, Università di Bologna, Bologna, Italy.ModicaMReggianiANijkampP2017‘A comparative analysis of Gibrat’s and Zipf’s law on urban population’, Quaderni - Working Paper DSE N°1008Università di BolognaBolognaItaly10.2139/ssrn.2611960Search in Google Scholar

Muth, RF 1961, ‘The spatial structure of the housing market’, Regional Science, vol. 7, no. 1, pp. 207-220.MuthRF2017‘The spatial structure of the housing market’Regional Science7520722010.4324/9781315128061-2Search in Google Scholar

Newman, MEJ 2005, ‘Powel laws, Pareto distributions and Zipf’s law’, Contemporary Physics, vol. 45, no. 5, pp. 323-351.NewmanMEJ2017‘Powel laws, Pareto distributions and Zipf’s law’Contemporary Physics45532335110.1080/00107510500052444Search in Google Scholar

Roback, J 1982, ‘Wages, rents, and the quality of life’, Journal of Political Economy, vol. 90, no. 6, pp. 1257-1278.RobackJ2017‘Wages, rents, and the quality of life’Journal of Political Economy9051257127810.1086/261120Search in Google Scholar

Romisch, R 2015, ‘Estimating agglomeration in the EU and the Western Balkan regions’, The wiiw Balkan Observatory. Global Development Network Southeast Europe. Working paper 117, The Vienna Institute for International Economic Studies, Vienna, Austria.RomischR2017‘Estimating agglomeration in the EU and the Western Balkan regions’, The wiiw Balkan ObservatoryGlobal Development Network Southeast Europe. Working paper 117The Vienna Institute for International Economic StudiesViennaAustriaSearch in Google Scholar

Rosen, KT & Resnick, M 1980, ‘The size distribution of cities: An examination of the Pareto law and primacy’, Journal of Urban Economics, vol. 8, no. 2, pp. 165-186.RosenKTResnickM2017‘The size distribution of cities: An examination of the Pareto law and primacy’Journal of Urban Economics8516518610.1016/0094-1190(80)90043-1Search in Google Scholar

Rozenfeld, HD, Rybski, D, Gabaix, X & Makse, HA 2011, ‘The area and population of cities: New insights from a different perspective on cities’, American Economic Review, vol. 101, no. 5, pp. 2205-2225.RozenfeldHDRybskiDGabaixXMakseHA2017‘The area and population of cities: New insights from a different perspective on cities’American Economic Review10152205222510.3386/w15409Search in Google Scholar

Sinclair, R 2001, Examining the growth model’s implications: The world income distribution, Working Paper. Department of Economics, Syracuse University, Syracuse, USA.SinclairR2001Examining the growth model’s implicationsThe world income distribution, Working Paper. Department of EconomicsSyracuse University, SyracuseUSASearch in Google Scholar

Šolak, Z & Dobrić, N 2010, ‘Zipf’s law and cities’, Zbornik Matice srpske za drustvene nauke, vol. 131, pp. 149–154.ŠolakZDobrić, N 2010, ‘Zipf’s law and cities’Zbornik Matice srpske za drustvene nauke13114915410.2298/ZMSDN1031149SSearch in Google Scholar

Soo, KT 2005, ‘Zipf’s law for cities: A cross-country investigation’, Regional Science and Urban Economics, vol. 35, pp. 239–263.SooKT2017‘Zipf’s law for cities: A cross-country investigation’Regional Science and Urban Economics3523926310.1016/j.regsciurbeco.2004.04.004Search in Google Scholar

Soo, KT 2007, ‘Zipf’s law and urban growth in Malaysia’, Urban Studies, vol. 44, no. 1, pp. 1–14.SooKT2017‘Zipf’s law and urban growth in Malaysia’Urban Studies44111410.1080/00420980601023869Search in Google Scholar

Tabuchi, T & Thisse, JF 2006, ‘Regional specialization, urban hierarchy and commuting costs’, International Economic Review, vol. 47, no. 4, pp. 1295-1317.TabuchiTThisseJF2017‘Regional specialization, urban hierarchy and commuting costs’International Economic Review4751295131710.1111/j.1468-2354.2006.00414.xSearch in Google Scholar

Veneri, P 2016, ‘City size distribution across the OECD: Does the definition of cities matter?’, Computers, Environment and Urban Systems, vol. 59, pp. 86-94.VeneriP2017‘City size distribution across the OECD: Does the definition of cities matter?’, ComputersEnvironment and Urban Systems59869410.1016/j.compenvurbsys.2016.05.007Search in Google Scholar

Zipf, GK 1949, Human behavior and the principles of least effort, Addison Wesley, Cambridge, MA.ZipfGK1949Human behavior and the principles of least effortAddison Wesley, CambridgeMASearch in Google Scholar

eISSN:
2084-6118
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Geosciences, Geography, other