Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

A typology of activities over a century of urban growth

Subjects

Abstract

Contemporary literature on the dynamics of economic activities in growing cities has mainly focused on time frames of a few years or decades. Using a new geohistorical database constructed from historical directories with about 1 million entries, we present a comprehensive analysis of the dynamics of activities in a major city, Paris, over almost a century (1829–1907). Our analysis suggests that activities that accompany city growth can be classified in different categories according to their dynamics and their scaling with population: (1) linear for everyday needs of residents (food stores, clothing retailers, health care practitioners), (2) sublinear for public services (legal, administrative, educational) and (3) superlinear for the city’s specific features (passing fads, specialization, timely needs). The dynamics of these activities is in addition very sensitive to historical perturbations such as large-scale public works or political conflicts. These results shed light on the evolution of activities, a crucial component of growing cities.

Access to this article via ICE Institution of Civil Engineers is not available.

This is a preview of subscription content, access via your institution

Access options

Access to this article via ICE Institution of Civil Engineers is not available.

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Number of city directory entries for different activity categories (Na) over time.
Fig. 2: Exponent β for different activity categories.
Fig. 3: Rank clocks for activity categories.

Similar content being viewed by others

Data availability

The dataset of the population censuses of Paris at the scale of districts between 1801 and 1911 is openly accessible with the documentation on the Nakala platform of the CNRS Research Infrastructure Huma-Num at https://doi.org/10.34847/nkl.e173c93p. The dataset of Paris directories entries with NAICS-inspired categories between 1829 and 1907 specifically constructed and used for this paper is openly accessible on the Zenodo platform https://doi.org/10.5281/zenodo.8388101 (ref. 68).

Code availability

The open repository https://doi.org/10.5281/zenodo.8388101 (ref. 68) contains the code to create the figures and tables of both the main text and the Supplementary Information.

References

  1. Batty, M. The New Science of Cities (MIT Press, 2013).

  2. Barthelemy, M. The Structure and Dynamics of Cities (Cambridge Univ. Press, 2016).

  3. Bettencourt, L. M. A. Introduction to Urban Science: Evidence and Theory of Cities as Complex Systems (MIT Press, 2021).

  4. Duranton, G. & Puga, D. in Handbook of Economic Growth Vol. 2 (eds Aghion, P. & Durlauf, S. N.) 781–853 (Elsevier, 2014).

  5. Pumain, D., Paulus, F., Vacchiani-Marcuzzo, C. & Lobo, J. An evolutionary theory for interpreting urban scaling laws. CyberGeo: Eur. J. Geogr. https://doi.org/10.4000/cybergeo.2519 (2006).

  6. Henderson, J. V. & Wang, H.-G. Urbanization and city growth: the role of institutions. Reg. Sci. Urban Econ. 37, 283–313 (2007).

    Article  Google Scholar 

  7. Verbavatz, V. & Barthelemy, M. The growth equation of cities. Nature 587, 397–401 (2020).

    Article  Google Scholar 

  8. Beeson, P. E., DeJong, D. N. & Troesken, W. Population growth in U.S. counties, 1840-1990. Reg. Sci. Urban Econ. 31, 669–699 (2001).

    Article  Google Scholar 

  9. Ortman, S. G., Cabaniss, A. H. F., Sturm, J. O. & Bettencourt, L. M. A. The pre-history of urban scaling. PLoS ONE https://doi.org/10.1371/journal.pone.00879 (2014).

  10. Ortman, S. G., Lobo, J. & Smith, M. E. Cities: complexity, theory and history. PLoS ONE https://doi.org/10.1371/journal.pone.0243621 (2020).

  11. Lobo, J., Bettencourt, L. M. A., Smith, M. E. & Ortman, S. Settlement scaling theory: bridging the study of ancient and contemporary urban systems. Urban Stud. 57, 731–747 (2020).

    Article  Google Scholar 

  12. Perret, J., Gribaudi, M. & Barthelemy, M. Roads and cities of 18th century france. Sci. Data 2, 150048 (2015).

    Article  Google Scholar 

  13. El Gouj, H., Rincón-Acosta, C. & Lagesse, C. Urban morphogenesis analysis based on geohistorical road data. Appl. Netw. Sci. 7, 6 (2022).

    Article  Google Scholar 

  14. Bretagnolle, A., Delisle, F., Mathian, H. & Vatin, G. Urbanization of the United States over two centuries: an approach based on a long-term database (1790–2010). Int. J. Geogr. Inf. Sci. 29, 850–867 (2015).

    Article  Google Scholar 

  15. Burghardt, K., Uhl, J. H., Lerman, K. & Leyk, S. Analyzing urban scaling laws in the United States over 115 years. Environ. Plan. B: Urban Anal. City Sci. https://doi.org/10.1177/23998083241240 (2024).

  16. Rodriguez, N. P. & Feagin, J. R. Urban specialization in the world-system: an investigation of historical cases. Urban Aff. Q. 22, 187–220 (1986).

    Article  Google Scholar 

  17. GeoHistoricalData. Annuaires historiques parisiens, 1798–1914. Extraction structurée et géolocalisée à l’adresse des listes nominatives par ordre alphabétique et par activité dans les volumes numérisés. NAKALA https://doi.org/10.34847/nkl.98eem49t (2023).

  18. Barthelemy, M., Bordin, P., Berestycki, H. & Gribaudi, M. Self-organization versus top-down planning in the evolution of a city. Sci. Rep. 3, 2153 (2013).

    Article  Google Scholar 

  19. Pumain, D. Scaling Laws and Urban Systems. Working Paper 002 (Santa Fe Institute, 2004).

  20. Bettencourt, L. M. A., Lobo, J., Helbing, D., Kühnert, C. & West, G. B. Growth, innovation, scaling, and the pace of life in cities. Proc. Natl Acad. Sci. USA 104, 7301–7306 (2007).

    Article  Google Scholar 

  21. Bokányi, E., Szállási, Z. & Vattay, G. Universal scaling laws in metro area election results. PLoS ONE https://doi.org/10.1371/journal.pone.0192913 (2018).

  22. Depersin, J. & Barthelemy, M. From global scaling to the dynamics of individual cities. Proc. Natl Acad. Sci. USA 115, 2317–2322 (2018).

    Article  Google Scholar 

  23. Keuschnigg, M. Scaling trajectories of cities. Proc. Natl Acad. Sci. USA 116, 13759–13761 (2019).

    Article  Google Scholar 

  24. Bettencourt, L. M. A. et al. The interpretation of urban scaling analysis in time. J. R. Soc. Interface 17, 20190846 (2020).

    Article  Google Scholar 

  25. Cristofoli, P. & Gravier, J. Populations of Paris districts (1801–1911). NAKALA https://doi.org/10.34847/nkl.e173c93p (2023).

  26. Ignazzi, C. A. Coevolution in the Brazilian System of Cities. PhD thesis, Paris 1 Panthéon-Sorbonne University, Paris (2015).

  27. Finance, O. & Swerts, E. in Theories and Models of Urbanization: Geography, Economics and Computing Sciences Lecture Notes in Morphogenesis (ed. Pumain, D.) 67–96 (Springer International Publishing, 2020).

  28. Stephan, G. E. Territorial division: the least-time constraint behind the formation of subnational boundaries. Science 196, 523–524 (1977).

    Article  Google Scholar 

  29. Gusein-Zade, S. M. Bunge’s problem in central place theory and its generalizations. Geogr. Anal. 14, 246–252 (1982).

    Article  Google Scholar 

  30. Gastner, M. T. & Newman, M. E. J. Optimal design of spatial distribution networks. Phys. Rev. E 74, 016117 (2006).

    Article  Google Scholar 

  31. Um, J., Son, S.-W., Lee, S.-I., Jeong, H. & Kim, B.-J, Scaling laws between population and facility densities. Proc. Natl Acad. Sci. USA 106, 14236–14240 (2009).

    Article  Google Scholar 

  32. Nourrisson, D. Sociabilités du vin. in Une histoire du vin (ed. Nourrisson, D.) 197–240 (Perrin, 2017).

  33. Husson, A. La consommation du lait à Paris. J. Soc. Stat. Paris 16, 17–23 (1875).

    Google Scholar 

  34. Batty, M. Rank clocks. Nature 444, 592–596 (2006).

    Article  Google Scholar 

  35. Jordan, D. P. Transforming Paris: The Life and Labors of Baron Haussmann (Univ. Chicago Press, 1995).

  36. Panerai, P., Castex, J., Depaule, J.-C. Urban Forms: The Death and Life of the Urban Block (ed. Samuels, I., trans. Vitale Samuels, O.) (Architectural Press, 2004).

  37. Faure, A. Spéculation et société: les grands travaux à Paris au XIXe siècle. Hist. Econ. Soc. 23, 433–448 (2004).

    Google Scholar 

  38. Berry, B. J. L. Cities as systems within systems of cities. Pap. Reg. Sci. Assoc. 13, 146–163 (1964).

    Article  Google Scholar 

  39. Pumain, D. From networks of cities to systems of cities. in Handbook of Cities and Networks (eds. Neal, Z. P. & Rozenblat C.) 16–40 (Edward Elgar Publishing, 2021).

  40. Abadie, N., Carlinet, E., Chazalon, J. & Duménieu, B. A in Document Analysis Systems Lecture Notes in Computer Science (eds Uchida, S. et al.) 445–460 (Springer International Publishing, 2022).

  41. Cura, R. et al. Historical collaborative geocoding. ISPRS Int. J. Geo-Inf. 7, 1–29 (2018).

    Article  Google Scholar 

  42. Tudesq, A.-J. Sur l'histoire sociale du XIXe siècle : Les listes électorales de la Monarchie censitaire. Annales. Hist. Sci. Soc. 13, 277–288 (1958).

    Google Scholar 

  43. Cottineau, C., Hatna, E., Arcaute, E. & Batty, M. Diverse cities or the systematic paradox of Urban Scaling Laws. Comput. Environ. Urban Syst. 63, 80–94 (2016).

    Article  Google Scholar 

  44. Montel, N. in Agrandir Paris (18601970), Histoire Contemporaine (eds. Bourillon, F. & Fourcaut, A.) 99–111 (Éditions de la Sorbonne, 2012)

  45. Ignazzi, C. A. Scaling laws, economic growth, education and crime: evidence from Brazil. Espace Géogr. 43, 324–337 (2014).

    Article  Google Scholar 

  46. Condé, G. Mutations du système de villes belges. Cybergeo: Eur. J. Geog. https://doi.org/10.4000/cybergeo.26691 (2015).

  47. Paulus, F. & Vacchiani-Marcuzzo, C. in Knowledge-Creating Milieus in Europe: Firms, Cities, Territories (eds Cusinato, A. & Philippopoulos-Mihalopoulos, A.) 157–170 (Springer, 2016).

  48. Meirelles, J. et al. Evolution of urban scaling: evidence from Brazil. PLoS ONE https://doi.org/10.1371/journal.pone.0204574 (2018).

  49. Goncalves, A. & Domingos, T. Scaling laws and electricity consumption in cities: a sectoral view. Int. J. Sustain. Energy Plan. Manag. 2, 19–32 (2014).

    Google Scholar 

  50. Xu, G., Zhou, Z., Jiao, L., Dong, T. & Ruiqi, L. Cross-sectional urban scaling fails in predicting temporal growth of cities. Preprint at https://arxiv.org/abs/1910.06732 (2019).

  51. Hong, I., Frank, M. R., Rahwan, I., Jung, W.-S. & Youn, H. The universal pathway to innovative urban economies. Sci. Adv. https://doi.org/10.1126/sciadv.aba4934 (2020).

  52. Ribeiro, F. L., Meirelles, J., Netto, V. M., Neto, C. R. & Baronchelli, A. On the relation between transversal and longitudinal scaling in cities. PLoS ONE 15, e0233003 (2020).

    Article  Google Scholar 

  53. Xu, G. et al. Scaling laws in intra-urban systems and over time at the district level in Shanghai, China. Phys. A: Stat. Mech. Appl. 560, 125162 (2020).

    Article  Google Scholar 

  54. Maisonobe, M. in Handbook Bibliometrics (ed. Ball, R.) 377–396 (De Gruyter Saur, 2020).

  55. Andersson, D. E., Andersson, A. E., Harsman, Björn & Yang, X. The geography of science in 12 European countries: a NUTS2-level analysis. Scientometrics 124, 1099–1125 (2020).

    Article  Google Scholar 

  56. Arvidsson, M., Lovsjö, N. & Keuschnigg, M. Urban scaling laws arise from within-city inequalities. Nat. Hum. Behav. 7, 365–374 (2023).

    Article  Google Scholar 

  57. Lei, W., Jiao, L., Xu, G. & Zhou, Z. Urban scaling in rapidly urbanising China. Urban Stud. 59, 1889–1908 (2022).

    Article  Google Scholar 

  58. Curado, A., Damásio, B., Encarnação, S., Candia, C. & Pinheiro, F. L. Scaling behavior of public procurement activity. PLoS ONE https://doi.org/10.1371/journal.pone.0260806 (2021).

  59. Strumsky, D., Lobo, J. & Mellander, C. As different as night and day: scaling analysis of Swedish urban areas and regional labor markets. Environ. Plan. B: Urban Anal. City Sci. 48, 231–247 (2021).

    Google Scholar 

  60. Ortman, S. G. et al. Settlement scaling and economic change in the Central Andes. J. Archaeol. Sci. 73, 94–106 (2016).

    Article  Google Scholar 

  61. Cesaretti, R., Lobo, J., Bettencourt, L. M. A., Ortman, S. G. & Smith, M. E. Population-area relationship for Medieval European cities. PLoS ONE https://doi.org/10.1371/journal.pone.0162678 (2016).

  62. Ortman, S. G., Smith, M. E., Lobo, J. & Bettencourt, L. M. A. Why archaeology is necessary for a theory of urbanization. J. Urban Archaeol. 1, 151–167 (2020).

    Article  Google Scholar 

  63. Hanson, J. W., Ortman, S. G. & Lobo, J. Urbanism and the division of labour in the Roman Empire. J. R. Soc. Interface 14, 20170367 (2017).

    Article  Google Scholar 

  64. Hanson, J. W., Ortman, S. G., Bettencourt, L. M. A. & Mazur, L. C. Urban form, infrastructure and spatial organisation in the Roman Empire. Antiquity 93, 702–718 (2019).

    Article  Google Scholar 

  65. Altaweel, M. & Palmisano, A. Urban and transport scaling: Northern Mesopotamia in the Late Chalcolithic and Bronze Age. J. Archaeol. Method Theory 26, 943–966 (2019).

    Article  Google Scholar 

  66. Cesaretti, R., Lobo, J., Bettencourt, L. M. A. & Smith, M. E. Increasing returns to scale in the towns of early Tudor England. Hist. Meth. A J. Quant. Interdiscip. Hist. 53, 147–165 (2020).

    Article  Google Scholar 

  67. Smith, M. E. et al. The low-density urban systems of the classic period Maya and Izapa: insights from settlement scaling theory. Lat. Am. Antiq. 32, 120–137 (2021).

    Article  Google Scholar 

  68. Gravier, J. Dataset and data analysis of activities of Paris between 1829 and 1907. Zenodo https://doi.org/10.5281/zenodo.8388101 (2023).

Download references

Acknowledgements

We thank N. Abadie, S. Baciocchi, P. Cristofoli, B. Duménieu, E. Carlinet, J. Chazalon and J. Perret, who set up the processing chain enabling the extraction and enrichment of Paris directories, and without whom this work would not have been possible. This research was funded by ANR SoDUCo Program, grant number ANR-18-CE38-0013 (J.G. and M.B.).

Author information

Authors and Affiliations

Authors

Contributions

J.G. and M.B. designed the study. J.G. worked on the data and analyzed it. J.G. and M.B. wrote the paper.

Corresponding author

Correspondence to Marc Barthelemy.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Cities thanks Cécile Tannier and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Figs. 1–10 and Tables 1–4.

Reporting Summary

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gravier, J., Barthelemy, M. A typology of activities over a century of urban growth. Nat Cities 1, 567–575 (2024). https://doi.org/10.1038/s44284-024-00108-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s44284-024-00108-7

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing