Skip to main content
Log in

Clustering of the Italian Regions Based on Their Equitable and Sustainable Well-Being Indicators: A Three-Way Approach

  • Original Research
  • Published:
Social Indicators Research Aims and scope Submit manuscript

Abstract

The aim of this study is to provide an analysis of the Italian regions according to their equitable and sustainable well-being indicators pertaining to several economic, social and environmental domains with reference to the year 2017, in order to identify groups of homogeneous regions taking into account the heterogeneity of the domains. In particular, the regions are grouped into root clusters, which are consistent across domains, and specific clusters, which vary with domains. The partitions are obtained using the ROOT CLUStering (ROOTCLUS) model for three-way proximity data. The results show that in the well-known opposition between northern and southern Italian territories, some regions located in the Central and Southern Italy have a diversified behaviour with respect to some domains.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28
Fig. 29
Fig. 30
Fig. 31
Fig. 32

Similar content being viewed by others

Notes

  1. It is worth pointing out that no composite indicators are officially produced at the provincial level and some basic indicators are substituted by proxies of the corresponding regional ones.

  2. According to data availability, for the indicators “Share of employed persons not in regular occupation”, “Beds in residential health care facilities” and “Children who benefited of early childhood services”, the 2016 datum is replicated; for “ Water losses in urban supply system” that of 2015.

  3. As far as the Environment domain is concerned, in this study, it differs from Istat only for the indicator “Quality of urban air” that has been excluded.

  4. The algorithm has been implemented by Bocci and Vicari (2019) in MATLAB R2017b.

  5. Note that \(w_2\) and \(w_3\) are missing here because the root clusters Root 2 and Root 3 are singletons and the diagonal entries of the similarity matrices are not fitted in this application.

  6. Also, bars colour is associated with clustering membership identified by the root partition. The dark blue color is used to distinguish the influential units belonging to the Cluster 3.

References

  • Annoni, P., & Kozovska, K. (2019). The EU regional competitiveness index 2019. Directorate-General for Regional and Urban Policy. Luxembourg: Publications Office of the European Union.

  • Bocci, L., & Vicari, D. (2019). Rootclus: Searching for “root clusters” in three-way proximity data. Psychometrika, 84(4), 941–985.

    Article  Google Scholar 

  • Burchi, F., & Gnesi, C. (2016). A review of the literature on well-being in Italy: A human development perspective. In Forum for social economics (Vol. 45, pp. 170–192). Taylor & Francis.

  • Caiado, J., Maharaj, E. A., & D’Urso, P. (2016). Time series clustering. In C. Hennig, M. Meila, F. Murtagh, & R. Rocci (Eds.), Handbook of cluster analysis (pp. 241–263). London: Chapman & Hall.

    Google Scholar 

  • Dasgupta, P., & Weale, M. (1992). On measuring the quality of life. World Development, 20(1), 119–131.

    Article  Google Scholar 

  • D’Urso, P. (2007). Fuzzy clustering of fuzzy data. In J. V. de Oliveira & W. Pedrycz (Eds.), Advances in fuzzy clustering and its applications (pp. 155–192). New York: Wiley.

    Chapter  Google Scholar 

  • D’Urso, P. (2016). Fuzzy clustering. In C. Hennig, M. Meila, F. Murtagh, & R. Rocci (Eds.), Handbook of cluster analysis (pp. 545–573). London: Chapman & Hall.

    Google Scholar 

  • D’Urso, P. (2017). Informational paradigm, management of uncertainty and theoretical formalisms in a clustering framework: A review. Information Sciences, 400–401, 30–62.

    Article  Google Scholar 

  • D’Urso, P., Alaimo, L. S., De Giovanni, L., & Massari, R. (2020). Well-being in the Italian regions over time. Social Indicators Research. https://doi.org/10.1007/s11205-020-02384-x.

    Article  Google Scholar 

  • D’Urso, P., & Gil, M. A. (2017). Fuzzy data analysis and classification. Editorial, special issue in memoriam of professor Lotfi A. Zadeh, father of fuzzy logic. Advances in Data Analysis and Classification, 11, 645–657.

    Article  Google Scholar 

  • D’Urso, P., De Giovanni, L., Disegna, M., & Massari, R. (2019). Fuzzy clustering with spatial-temporal information. Spatial Statistics, 30, 71–102.

    Article  Google Scholar 

  • D’Urso, P., De Giovanni, L., & Massari, R. (2018). Robust fuzzy clustering of multivariate time trajectories. International Journal of Approximate Reasoning, 99, 12–38.

    Article  Google Scholar 

  • D’Urso, P., & Vitale, V. (2020). A robust hierarchical clustering for geostatistical data. Spatial Statistics, 35. https://doi.org/10.1016/j.spasta.2020.100407.

    Article  Google Scholar 

  • Felice, E. (2017). The roots of a dual equilibrium: Gdp, productivity and structural change in the Italian regions in the long-run (1871–2011). Bank of Italy Economic History Working Paper, 40.

  • García-Escudero, L. A., & Gordaliza, A. (1999). Robustness properties of k means and trimmed k means. Journal of the American Statistical Association, 94(447), 956–969.

    Google Scholar 

  • García-Escudero, L. A., Gordaliza, A., Matrán, C., & Mayo-Iscar, A. (2010). A review of robust clustering methods. Advances in Data Analysis and Classification, 4(2–3), 89–109.

    Article  Google Scholar 

  • Giovannini, E., & Rondinella, T. (2012). Measuring equitable and sustainable well-being in Italy. In F. Maggino & G. Nuvolati (Eds.), Quality of life in Italy. Research and reflections (pp. 9–25). Cham: Springer.

    Chapter  Google Scholar 

  • Istat (2015). Report on equitable and sustainable wellbeing (BES 2014). Istat, Rome.

  • Istat (2013). Il benessere equo e sostenibile in Italia. Istat, Rome.

  • Maharaj, E. A., D’Urso, P., & Caiado, J. (2019). Time series clustering and classification. London: Chapman and Hall.

    Book  Google Scholar 

  • Maturo, F., Balzanella, A., & Di Battista, T. (2019). Building statistical indicators of equitable and sustainable well-being in a functional framework. Social Indicators Research, 146(3), 449–471.

    Article  Google Scholar 

  • Mazziotta, M., & Pareto, A. (2016). On a generalized non-compensatory composite index for measuring socio-economic phenomena. Social Indicators Research, 127, 983–1003. https://doi.org/10.1007/s11205-015-0998-2.

    Article  Google Scholar 

  • Porreca, A., Rambaud, S. C., Scozzari, F., & Di Nicola, M. (2019). A fuzzy approach for analysing equitable and sustainable well-being in italian regions. International Journal of Public Health, 64(6), 935–942.

    Article  Google Scholar 

  • Sen, A. (1980). Equality of what? The Tanner Lecture on Human Values, 1, 197–220.

    Google Scholar 

  • Sen, A. (1985). Capabilities and commodities. Amsterdam: North-Holland.

    Google Scholar 

  • Stiglitz, J. E., Sen, A., & Fitoussi, J.-P. (2009). Report by the commission on the measurement of economic performance and social progress.

  • Vanoli, A. (2010). On the report by the commission on the measurement of economic performance and social progress.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Laura Bocci.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bocci, L., D’Urso, P. & Vitale, V. Clustering of the Italian Regions Based on Their Equitable and Sustainable Well-Being Indicators: A Three-Way Approach. Soc Indic Res 155, 995–1043 (2021). https://doi.org/10.1007/s11205-020-02582-7

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11205-020-02582-7

Keywords

Navigation