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Seeking the Optimal Dimension of Local Administrative Units: A Reflection on Urban Concentration and Changes in Municipal Size

Author

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  • Francesca Bartolacci

    (Department of Economics and Law, University of Macerata, Via Armaroli 43, I-62100 Macerata, Italy)

  • Rosanna Salvia

    (Department of Mathematics, Informatics and Economics, University of Basilicata, Via dell’Ateneo Lucano, I-85100 Potenza, Italy)

  • Giovanni Quaranta

    (Department of Mathematics, Informatics and Economics, University of Basilicata, Via dell’Ateneo Lucano, I-85100 Potenza, Italy)

  • Luca Salvati

    (Department of Methods and Models for Economics, Territory and Finance (MEMOTEF), University of Rome “La Sapienza”, Via del Castro Laurenziano 9, I-00161 Rome, Italy)

Abstract

In the search for a better administrative functioning as a key dimension of economic performances, changes in municipal boundaries and the creation (or suppression) of local administrative units reflect a progressive adjustment to a spatially varying population size and density. With intense population growth, municipal size reflects the overall amount (and spatial concentration) of services and infrastructures, being functionally related with agglomeration economies, land availability for building, and specific sociodemographic attributes of local communities. Based on these premises, the intrinsic relationship between settlement expansion, population growth, and municipal size in a metropolitan region of Southern Europe (Attica, hosting the Greater Athens’ area in Central Greece) was investigated in this study over nearly one century as a contribution to a refined investigation of the (changing) organization of local administrative units under a complete metropolitan cycle from urbanization to reurbanization. Based on descriptive statistics, mapping, (parametric and nonparametric) correlation coefficients, and econometric techniques, a quantitative analysis of the relationship between population size and density and municipal area provides pivotal knowledge to policy and planning adjustments toward a more balanced spatial distribution of population and administered land among local government units. Together with a slight decrease in the average municipal size over time, the average population density per municipal unit increased systematically, with a considerable reduction in spatial heterogeneity of settlements. The observed goodness-of-fit of the linear model explaining municipal area with population density, increased significantly over time. Empirical results of our study indicate that municipal size has slowly adjusted to population density across metropolitan areas, determining an imbalanced spatial distribution of resident population and a supposedly less efficient government partition. The recent administrative reform of local authorities in Greece (the so-called ‘Kallikratis’ law) seems to consolidate–rather than rebalance this organizational structure over space, reflecting spatially polarized settlements. Such conditions represent a base for informed analysis of the spatial structure of local administrative units as a pivotal element of economic sustainability and may contribute to the debate on the optimal size of municipalities at both urban and metropolitan scales of governance.

Suggested Citation

  • Francesca Bartolacci & Rosanna Salvia & Giovanni Quaranta & Luca Salvati, 2022. "Seeking the Optimal Dimension of Local Administrative Units: A Reflection on Urban Concentration and Changes in Municipal Size," Sustainability, MDPI, vol. 14(22), pages 1-17, November.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:22:p:15240-:d:975353
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    as
    1. Paulo Caldas & Diogo Cunha Ferreira & Brian Dollery & Rui Cunha Marques, 2018. "Municipal Sustainability Influence by European Union Investment Programs on the Portuguese Local Government," Sustainability, MDPI, vol. 10(4), pages 1-23, March.
    2. Taner Turan, 2014. "Optimal Size of Government in Turkey," International Journal of Economics and Financial Issues, Econjournals, vol. 4(2), pages 286-294.
    3. Mariateresa Ciommi & Francesco M. Chelli & Margherita Carlucci & Luca Salvati, 2018. "Urban Growth and Demographic Dynamics in Southern Europe: Toward a New Statistical Approach to Regional Science," Sustainability, MDPI, vol. 10(8), pages 1-16, August.
    4. Juan Carlos Bárcena-Ruiz & F. Javier Casado-Izaga, 2018. "Optimal size of a residential area within a municipality," Journal of Economics, Springer, vol. 124(1), pages 75-92, May.
    5. Belmira Neto & Miguel Gama Caldas, 2018. "The use of green criteria in the public procurement of food products and catering services: a review of EU schemes," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(5), pages 1905-1933, October.
    6. Makin, Anthony J. & Pearce, Julian & Ratnasiri, Shyama, 2019. "The optimal size of government in Australia," Economic Analysis and Policy, Elsevier, vol. 62(C), pages 27-36.
    7. Reingewertz, Yaniv, 2012. "Do municipal amalgamations work? Evidence from municipalities in Israel," Journal of Urban Economics, Elsevier, vol. 72(2), pages 240-251.
    8. Deller, Steven C & Rudnicki, Edward, 1992. "Managerial Efficiency in Local Government: Implications on Jurisdictional Consolidation," Public Choice, Springer, vol. 74(2), pages 221-231, September.
    9. John I. Carruthers & Gudmundur F. Ulfarsson, 2002. "Fragmentation and Sprawl: Evidence from Interregional Analysis," Growth and Change, Wiley Blackwell, vol. 33(3), pages 312-340.
    10. Graziano Abrate & Fabrizio Erbetta & Giovanni Fraquelli & Davide Vannoni, 2014. "The Costs of Disposal and Recycling: An Application to Italian Municipal Solid Waste Services," Regional Studies, Taylor & Francis Journals, vol. 48(5), pages 896-909, May.
    11. Lassen, David Dreyer & Serritzlew, Sã˜Ren, 2011. "Jurisdiction Size and Local Democracy: Evidence on Internal Political Efficacy from Large-scale Municipal Reform," American Political Science Review, Cambridge University Press, vol. 105(2), pages 238-258, May.
    12. Dollery, Brian & Byrnes, Joel & Crase, Lin, 2007. "Is bigger Better? Local Government Amalgamation and the South Australian Rising to the Challenge Inquiry," Economic Analysis and Policy, Elsevier, vol. 37(1), pages 1-14, March.
    13. Akiyoshi Furukawa, 2010. "Optimal size of central government and agglomeration," Economics Bulletin, AccessEcon, vol. 30(2), pages 940-947.
    14. Ryosuke Okamoto, 2009. "The Optimal Provision Of Local Public Goods In A Metropolitan Area With Flexible Jurisdictional Boundaries," Journal of Regional Science, Wiley Blackwell, vol. 49(2), pages 349-359, May.
    15. Blom-Hansen, Jens & Houlberg, Kurt & Serritzlew, Sã˜Ren & Treisman, Daniel, 2016. "Jurisdiction Size and Local Government Policy Expenditure: Assessing the Effect of Municipal Amalgamation," American Political Science Review, Cambridge University Press, vol. 110(4), pages 812-831, November.
    16. Quentin Frère & Matthieu Leprince & Sonia Paty, 2014. "The Impact of Intermunicipal Cooperation on Local Public Spending," Urban Studies, Urban Studies Journal Limited, vol. 51(8), pages 1741-1760, June.
    17. Salmon, Pierre, 1987. "Decentralisation as an Incentive Scheme," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 3(2), pages 24-43, Summer.
    18. Brian E. Dollery & Joseph Garcea & Edward C. LeSage Jr (ed.), 2008. "Local Government Reform," Books, Edward Elgar Publishing, number 12592.
    19. repec:ebl:ecbull:v:9:y:2005:i:4:p:1-7 is not listed on IDEAS
    20. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64(5), pages 416-416.
    21. Yaniv Reingewertz & Soren Serritzlew, 2019. "Special issue on municipal amalgamations: guest editors’ introduction," Local Government Studies, Taylor & Francis Journals, vol. 45(5), pages 603-610, September.
    22. Francesco Chelli & Luisa Rosti, 2009. "Self employment among Italian female graduates," Quaderni di Dipartimento 090, University of Pavia, Department of Economics and Quantitative Methods.
    23. Luca Salvati & Margherita Carlucci, 2016. "Patterns of Sprawl: The Socioeconomic and Territorial Profile of Dispersed Urban Areas in Italy," Regional Studies, Taylor & Francis Journals, vol. 50(8), pages 1346-1359, August.
    24. E. Dijkgraaf & R. H. J. M. Gradus, 2013. "Cost advantage cooperations larger than private waste collectors," Applied Economics Letters, Taylor & Francis Journals, vol. 20(7), pages 702-705, May.
    25. Wallace E. Oates & Wallace E. Oates, 2004. "An Essay on Fiscal Federalism," Chapters, in: Environmental Policy and Fiscal Federalism, chapter 22, pages 384-414, Edward Elgar Publishing.
    26. Henry Ohlsson, 2003. "Ownership and Production Costs: Choosing between Public Production and Contracting-Out in the Case of Swedish Refuse Collection," Fiscal Studies, Institute for Fiscal Studies, vol. 24(4), pages 451-476, December.
    27. Carey, Malachy & Srinivasan, Ashok & Strauss, Robert P., 1996. "Optimal consolidation of municipalities: An analysis of alternative designs," Socio-Economic Planning Sciences, Elsevier, vol. 30(2), pages 103-119, June.
    28. Roger Keil & Julie‐Anne Boudreau, 2005. "Is there regionalism after municipal amalgamation in Toronto?," City, Taylor & Francis Journals, vol. 9(1), pages 9-22, April.
    29. Larsen, Hogne N. & Hertwich, Edgar G., 2010. "Identifying important characteristics of municipal carbon footprints," Ecological Economics, Elsevier, vol. 70(1), pages 60-66, November.
    30. Miriam Hortas-Rico & Albert Solé-Ollé, 2010. "Does Urban Sprawl Increase the Costs of Providing Local Public Services? Evidence from Spanish Municipalities," Urban Studies, Urban Studies Journal Limited, vol. 47(7), pages 1513-1540, June.
    31. Niklas Hanes, 2015. "Amalgamation Impacts on Local Public Expenditures in Sweden," Local Government Studies, Taylor & Francis Journals, vol. 41(1), pages 63-77, January.
    32. Christian Longhi & Antonio Musolesi, 2007. "European cities in the process of economic integration: towards structural convergence," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 41(2), pages 333-351, June.
    33. Zambon, Ilaria & Benedetti, Anna & Ferrara, Carlotta & Salvati, Luca, 2018. "Soil Matters? A Multivariate Analysis of Socioeconomic Constraints to Urban Expansion in Mediterranean Europe," Ecological Economics, Elsevier, vol. 146(C), pages 173-183.
    34. Cesare Feliciantonio & Luca Salvati & Efthymia Sarantakou & Kostas Rontos, 2018. "Class diversification, economic growth and urban sprawl: evidences from a pre-crisis European city," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(4), pages 1501-1522, July.
    35. Luisa Rosti & Chikara Yamaguchi & Carolina Castagnetti, 2005. "Educational Performance as Signalling Device: Evidence from Italy," Economics Bulletin, AccessEcon, vol. 9(4), pages 1-7.
    36. Chiara Gigliarano & Francesco Chelli, 2016. "Measuring inter-temporal intragenerational mobility: an application to the Italian labour market," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(1), pages 89-102, January.
    37. Jianxin Wu & Yanrui Wu & Bing Wang, 2017. "Environmental Efficiency and the Optimal Size of Chinese Cities," China & World Economy, Institute of World Economics and Politics, Chinese Academy of Social Sciences, vol. 25(3), pages 60-86, May.
    38. Ostrom, Vincent & Tiebout, Charles M. & Warren, Robert, 1961. "The Organization of Government in Metropolitan Areas: A Theoretical Inquiry," American Political Science Review, Cambridge University Press, vol. 55(4), pages 831-842, December.
    39. Olson, Mancur, Jr, 1969. "The Principle of "Fiscal Equivalence": The Division of Responsibilities among Different Levels of Government," American Economic Review, American Economic Association, vol. 59(2), pages 479-487, May.
    40. Rune Sørensen, 2006. "Local government consolidations: The impact of political transaction costs," Public Choice, Springer, vol. 127(1), pages 75-95, April.
    41. Luan Vinicius Bernardelli & Michael A. Kortt & Brian Dollery, 2020. "Economies of scale and Brazilian local government expenditure: evidence from the State of Paraná," Local Government Studies, Taylor & Francis Journals, vol. 46(3), pages 436-458, May.
    42. Paulo Caldas & Brian Dollery & Rui Cunha Marques, 2022. "Measuring what matters in local government: a Municipality Sustainability Index," Policy Studies, Taylor & Francis Journals, vol. 43(4), pages 738-758, July.
    43. Salvati, Luca & Ciommi, Maria Teresa & Serra, Pere & Chelli, Francesco M., 2019. "Exploring the spatial structure of housing prices under economic expansion and stagnation: The role of socio-demographic factors in metropolitan Rome, Italy," Land Use Policy, Elsevier, vol. 81(C), pages 143-152.
    44. Mariateresa Ciommi & Francesco M. Chelli & Luca Salvati, 2019. "Integrating parametric and non-parametric multivariate analysis of urban growth and commuting patterns in a European metropolitan area," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(2), pages 957-979, March.
    45. Vittorio Gargiulo Morelli & Kostas Rontos & Luca Salvati, 2014. "Between suburbanisation and re-urbanisation: revisiting the urban life cycle in a Mediterranean compact city," Urban Research & Practice, Taylor & Francis Journals, vol. 7(1), pages 74-88, January.
    46. Luca Salvati & Ilaria Tombolini & Roberta Gemmiti & Margherita Carlucci & Sofia Bajocco & Luigi Perini & Agostino Ferrara & Andrea Colantoni, 2017. "Complexity in action: Untangling latent relationships between land quality, economic structures and socio-spatial patterns in Italy," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-17, June.
    47. Francesco Chelli & Chiara Gigliarano & Elvio Mattioli, 2009. "The impact of inflation on heterogeneous groups of households: an application to italy," Economics Bulletin, AccessEcon, vol. 29(2), pages 1276-1295.
    48. Perrin, Coline & Nougarèdes, Brigitte & Sini, Laura & Branduini, Paola & Salvati, Luca, 2018. "Governance changes in peri-urban farmland protection following decentralisation: A comparison between Montpellier (France) and Rome (Italy)," Land Use Policy, Elsevier, vol. 70(C), pages 535-546.
    49. António F. Tavares & Miguel Rodrigues, 2015. "The Economic and Political Impacts of Top-Down Territorial Reforms: The Case of Sub-City Governments," Local Government Studies, Taylor & Francis Journals, vol. 41(6), pages 956-976, November.
    50. Sebastian G. Kessing & Kai A. Konrad & Christos Kotsogiannis, 2007. "Foreign direct investment and the dark side of decentralization [‘Capture and governance at local and national levels’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 22(49), pages 6-70.
    51. Roberta Capello & Roberto Camagni, 2000. "Beyond Optimal City Size: An Evaluation of Alternative Urban Growth Patterns," Urban Studies, Urban Studies Journal Limited, vol. 37(9), pages 1479-1496, August.
    52. Fox, William F. & Gurley, Tami, 2006. "Will consolidation improve sub-national governments ?," Policy Research Working Paper Series 3913, The World Bank.
    53. Scott J. Callan & Janet M. Thomas, 2001. "Economies of Scale and Scope: A Cost Analysis of Municipal Solid Waste Services," Land Economics, University of Wisconsin Press, vol. 77(4), pages 548-560.
    54. Brian E. Dollery & Lorenzo Robotti (ed.), 2008. "The Theory and Practice of Local Government Reform," Books, Edward Elgar Publishing, number 12719.
    55. Xiao-Ping Zheng, 2007. "Measurement of Optimal City Sizes in Japan: A Surplus Function Approach," Urban Studies, Urban Studies Journal Limited, vol. 44(5-6), pages 939-951, May.
    56. Giuseppe Ricciardo Lamonica & Francesco Maria Chelli, 2018. "The performance of non‐survey techniques for constructing sub‐territorial input‐output tables," Papers in Regional Science, Wiley Blackwell, vol. 97(4), pages 1169-1202, November.
    57. Michael J. Keen & Christos Kotsogiannis, 2002. "Does Federalism Lead to Excessively High Taxes?," American Economic Review, American Economic Association, vol. 92(1), pages 363-370, March.
    58. Thomas Niaounakis & Jos Blank, 2017. "Inter-municipal cooperation, economies of scale and cost efficiency: an application of stochastic frontier analysis to Dutch municipal tax departments," Local Government Studies, Taylor & Francis Journals, vol. 43(4), pages 533-554, July.
    59. Francesco CHELLI & Chiara GIGLIARANO & Elvio MATTIOLI, 2009. "The Impact of Inflation on Heterogeneous Groups of Households: an Application to Italy," Working Papers 329, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    60. Reto Steiner, 2003. "The causes, spread and effects of intermunicipal cooperation and municipal mergers in Switzerland," Public Management Review, Taylor & Francis Journals, vol. 5(4), pages 551-571, December.
    61. Joseph Drew & Michael A. Kortt & Brian Dollery, 2016. "Did the Big Stick Work? An Empirical Assessment of Scale Economies and the Queensland Forced Amalgamation Program," Local Government Studies, Taylor & Francis Journals, vol. 42(1), pages 1-14, January.
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