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Extraordinary African cities? Zipf’s law and the emerging African system of cities☆

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  • Gomez Osorio, Camilo
  • Mykhnenko, Vlad

Abstract

This paper revisits the rank-size power law of urban hierarchies in Africa, with new analysis of the relationship between urban agglomeration, colonial legacies, and spatial economic inequalities. It explores urban patterns of spatial distribution of economic activity across Sub-Saharan Africa and finds evidence that Zipf’s law holds for African cities. Based on population panel data from Africapolis for 34 countries over the period 1960–2015 – it finds that the rank-size rule relationship has strengthened over time, with the statistically significant parameters converging closer to −1. The empirical evidence supports an inverted U-shaped relationship between the Zipf parameter and GDP per capita growth with different effects across groups of countries by colonial legacies (British versus French), income, and land size. These results are based on 2SLS and dynamic system GMM panel data quadratic estimations. The findings suggest an urban Kuznets bell-shaped curve, implying that economic growth may initially increase urban income inequalities, while reversing to reduce spatial income inequality with further GDP per capita growth. The African urban hierarchy – both nationally and region-wide – is evolving to the empirical regularities commonly observed elsewhere.

Suggested Citation

  • Gomez Osorio, Camilo & Mykhnenko, Vlad, 2025. "Extraordinary African cities? Zipf’s law and the emerging African system of cities☆," World Development, Elsevier, vol. 195(C).
  • Handle: RePEc:eee:wdevel:v:195:y:2025:i:c:s0305750x25001937
    DOI: 10.1016/j.worlddev.2025.107108
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    1. Robert C. Feenstra & Robert Inklaar & Marcel P. Timmer, 2015. "The Next Generation of the Penn World Table," American Economic Review, American Economic Association, vol. 105(10), pages 3150-3182, October.
    2. Joshua Kirshner & Idalina Baptista, 2023. "Corridors as empty signifiers: the entanglement of Mozambique’s colonial past and present in its development corridors," Planning Perspectives, Taylor & Francis Journals, vol. 38(6), pages 1163-1184, November.
    3. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    4. Addison,Tony & Boly,Amadou & Mveyange,Anthony Francis, 2017. "The impact of mining on spatial inequality recent evidence from Africa," Policy Research Working Paper Series 7960, The World Bank.
    5. Mveyange,Anthony Francis, 2018. "Measuring and explaining patterns of Spatial Income Inequality from Outer Space : Evidence from Africa," Policy Research Working Paper Series 8484, The World Bank.
    6. Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," American Economic Review, American Economic Association, vol. 101(5), pages 2205-2225, August.
    7. Sauwalak Kittiprapas & PHILIP McCANN, 1999. "Industrial location behaviour and regional restructuring within the Fifth 'Tiger' Economy: evidence from the Thai electronics industry," Applied Economics, Taylor & Francis Journals, vol. 31(1), pages 37-51.
    8. David E. Bloom & Jeffrey D. Sachs, 1998. "Geography, Demography, and Economic Growth in Africa," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 207-296.
    9. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2011. "The identification of agglomeration economies," Journal of Economic Geography, Oxford University Press, vol. 11(2), pages 253-266, March.
    10. Glaeser, Edward & Henderson, J. Vernon, 2017. "Urban economics for the developing World: An introduction," Journal of Urban Economics, Elsevier, vol. 98(C), pages 1-5.
    11. Paul Collier, 2009. "The political economy of state failure," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 25(2), pages 219-240, Summer.
    12. J. Vernon Henderson, 2010. "Cities And Development," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 515-540, February.
    13. Brueckner, Jan K., 2011. "Lectures on Urban Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262016362, December.
    14. Giesen, Kristian & Zimmermann, Arndt & Suedekum, Jens, 2010. "The size distribution across all cities - Double Pareto lognormal strikes," Journal of Urban Economics, Elsevier, vol. 68(2), pages 129-137, September.
    15. David Roodman, 2009. "How to do xtabond2: An introduction to difference and system GMM in Stata," Stata Journal, StataCorp LLC, vol. 9(1), pages 86-136, March.
    16. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    17. Paul Krugman, 1997. "Development, Geography, and Economic Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 026261135x, December.
    18. Henderson, Vernon & Squires, Tim & Storeygard, Adam & Weil, David, 2018. "The global distribution of economic activity: nature, history, and the role of trade," LSE Research Online Documents on Economics 79709, London School of Economics and Political Science, LSE Library.
    19. Diego Puga, 2010. "The Magnitude And Causes Of Agglomeration Economies," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 203-219, February.
    20. J. Vernon Henderson & Sebastian Kriticos, 2018. "The Development of the African System of Cities," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 287-314, August.
    21. Gregory F Randolph & Michael Storper, 2023. "Is urbanisation in the Global South fundamentally different? Comparative global urban analysis for the 21st century," Urban Studies, Urban Studies Journal Limited, vol. 60(1), pages 3-25, January.
    22. repec:wbk:wbpubs:2582 is not listed on IDEAS
    23. McCann, Philip, 2013. "Modern Urban and Regional Economics," OUP Catalogue, Oxford University Press, edition 2, number 9780199582006.
    24. Addison,Tony & Boly,Amadou & Mveyange,Anthony Francis, 2017. "The impact of mining on spatial inequality recent evidence from Africa," Policy Research Working Paper Series 7960, The World Bank.
    25. Brakman,Steven & Garretsen,Harry & van Marrewijk,Charles, 2019. "An Introduction to Geographical and Urban Economics," Cambridge Books, Cambridge University Press, number 9781108407366.
    26. Glaeser, Edward L., 2008. "Cities, Agglomeration, and Spatial Equilibrium," OUP Catalogue, Oxford University Press, number 9780199290444.
    27. Lin, Jeffrey & Rauch, Ferdinand, 2022. "What future for history dependence in spatial economics?," Regional Science and Urban Economics, Elsevier, vol. 94(C).
    28. Henderson, Vernon, 2003. "The Urbanization Process and Economic Growth: The So-What Question," Journal of Economic Growth, Springer, vol. 8(1), pages 47-71, March.
    29. Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
    30. Brakman,Steven & Garretsen,Harry & van Marrewijk,Charles, 2009. "The New Introduction to Geographical Economics," Cambridge Books, Cambridge University Press, number 9780521875325, December.
    31. Allen J. Scott & Michael Storper, 2015. "The Nature of Cities: The Scope and Limits of Urban Theory," International Journal of Urban and Regional Research, Wiley Blackwell, vol. 39(1), pages 1-15, January.
    32. Allen J. Scott, 2022. "The constitution of the city and the critique of critical urban theory," Urban Studies, Urban Studies Journal Limited, vol. 59(6), pages 1105-1129, May.
    33. Edward L. Glaeser & Rafael La Porta & Florencio Lopez-de-Silanes & Andrei Shleifer, 2004. "Do Institutions Cause Growth?," Journal of Economic Growth, Springer, vol. 9(3), pages 271-303, September.
    34. Daron Acemoglu & Simon Johnson & James A. Robinson, 2002. "Reversal of Fortune: Geography and Institutions in the Making of the Modern World Income Distribution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1231-1294.
    35. Eaton, Jonathan & Eckstein, Zvi, 1997. "Cities and growth: Theory and evidence from France and Japan," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 443-474, August.
    36. Alba Del Villar, 2023. "Regional income divergence and economic development in Africa: is Kuznets right?," Applied Economics, Taylor & Francis Journals, vol. 55(24), pages 2755-2772, May.
    37. Bertinelli, Luisito & Black, Duncan, 2004. "Urbanization and growth," Journal of Urban Economics, Elsevier, vol. 56(1), pages 80-96, July.
    38. Nathan Nunn, 2008. "The Long-term Effects of Africa's Slave Trades," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 139-176.
    39. 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.
    40. Fujita, Masahisa, 2012. "Thünen and the New Economic Geography," Regional Science and Urban Economics, Elsevier, vol. 42(6), pages 907-912.
    41. W. W. Rostow, 1959. "The Stages Of Economic Growth," Economic History Review, Economic History Society, vol. 12(1), pages 1-16, August.
    42. Henderson, Vernon, 2002. "Urban primacy, external costs, and quality of life," Resource and Energy Economics, Elsevier, vol. 24(1-2), pages 95-106, February.
    43. Michael Batty, 2022. "On economic and urban growth," Environment and Planning B, , vol. 49(9), pages 2293-2296, November.
    44. Michael Storper & Allen J Scott, 2016. "Current debates in urban theory: A critical assessment," Urban Studies, Urban Studies Journal Limited, vol. 53(6), pages 1114-1136, May.
    45. Ferdinand Rauch, 2014. "Cities as spatial clusters," Journal of Economic Geography, Oxford University Press, vol. 14(4), pages 759-773.
    46. Luis Bettencourt & Geoffrey West, 2010. "A unified theory of urban living," Nature, Nature, vol. 467(7318), pages 912-913, October.
    47. José Lobo & Luís M A Bettencourt & Deborah Strumsky & Geoffrey B West, 2013. "Urban Scaling and the Production Function for Cities," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    48. Vlad Mykhnenko & Manuel Wolff, 2019. "State rescaling and economic convergence," Regional Studies, Taylor & Francis Journals, vol. 53(4), pages 462-477, April.
    49. John B. Parr, 2015. "Overlooked Aspects of the von Thünen System," Spatial Economic Analysis, Taylor & Francis Journals, vol. 10(4), pages 471-487, December.
    50. Deborah Fahy Bryceson & Katherine V. Gough & Jesper Bosse Jønsson & Crispin Kinabo & Michael Clarke Shand & Cristina Udelsmann Rodrigues & Paul W.K. Yankson, 2022. "MINERALIZED URBANIZATION IN AFRICA IN THE TWENTY‐FIRST CENTURY: Becoming Urban through Mining Extraction," International Journal of Urban and Regional Research, Wiley Blackwell, vol. 46(3), pages 342-369, May.
    51. repec:cup:jechis:v:25:y:1965:i:04:p:569-591_05 is not listed on IDEAS
    52. 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.
    53. Neeraj G Baruah & J Vernon Henderson & Cong Peng, 2021. "Colonial legacies: Shaping African cities," Journal of Economic Geography, Oxford University Press, vol. 21(1), pages 29-65.
    54. Sean Fox, 2012. "Urbanization as a Global Historical Process: Theory and Evidence from sub-Saharan Africa," Population and Development Review, The Population Council, Inc., vol. 38(2), pages 285-310, June.
    55. Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
    56. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    57. repec:plo:pone00:0087902 is not listed on IDEAS
    58. Luís M A Bettencourt & José Lobo & Deborah Strumsky & Geoffrey B West, 2010. "Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
    59. Pérez-Campuzano, Enrique & Guzmán-Vargas, Lev & Angulo-Brown, F., 2015. "Distributions of city sizes in Mexico during the 20th century," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 64-70.
    60. Timothy Mitchell, 1999. "No factories, no problems: the logic of neo‐liberalism in Egypt," Review of African Political Economy, Taylor & Francis Journals, vol. 26(82), pages 455-468.
    61. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    62. J Vernon Henderson & Tim Squires & Adam Storeygard & David Weil, 2018. "The Global Distribution of Economic Activity: Nature, History, and the Role of Trade1," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 357-406.
    63. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    64. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
    65. Author-Name: Jeffrey D. Sachs & John W. McArthur & Guido Schmidt-Traub & Margaret Kruk & Chandrika Bahadur & Michael Faye & Gordon McCord, 2004. "Ending Africa's Poverty Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(1), pages 117-240.
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