IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i5p1218-d1085348.html
   My bibliography  Save this article

Mathematical Analysis and Modeling of the Factors That Determine the Quality of Life in the City Councils of Chile

Author

Listed:
  • Gonzalo Ríos-Vásquez

    (Instituto de Estadística, Facultad de Ciencias, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340031, Chile)

  • Hanns de la Fuente-Mella

    (Instituto de Estadística, Facultad de Ciencias, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340031, Chile)

Abstract

The quality of life index is an indicator published yearly since 2010 by the Institute on Urban and Territorial Studies and the Chilean Chamber of Construction, involving 99 municipalities and communes from the national territory. This research provides an approach to understanding how various dimensions and variables interact with quality of life in Chilean communes considering multiple factors and perspectives through information from public sources and social indicators. For the research, variables were analyzed considering demographic, sociodemographic, economics and urban indicators, where the model developed allows for an understanding of how the variables are related. In addition, it was discovered that education, own incomes, municipal spending and green areas directly relate to quality of life, while overcrowding and municipal funds negatively affect rates of communal welfare. Moreover, the variables chosen as explanatory variables allow for the development of an efficiency model. For this purpose, Cobb–Douglas and trans-logarithmic forms were tested, and it was found that Cobb–Douglas fits better to the data set and structures of the variables. The results of the efficiency model show that education, municipal funds and own incomes significantly affect efficiency, with a mean value of approximately 47%, minimum values close to 30% and maximum values of approximately 60%. Finally, a cluster analysis was developed through k-means, k-medoids and hierarchical clustering algorithms, where, in all cases, the results were similar, suggesting four groups with differences and variations in analyzed variables, especially in overcrowding, education, quality of life and wellness.

Suggested Citation

  • Gonzalo Ríos-Vásquez & Hanns de la Fuente-Mella, 2023. "Mathematical Analysis and Modeling of the Factors That Determine the Quality of Life in the City Councils of Chile," Mathematics, MDPI, vol. 11(5), pages 1-31, March.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1218-:d:1085348
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/5/1218/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/5/1218/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pohlan, Laura, 2019. "Unemployment and social exclusion," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 273-299.
    2. Victoria Cramer & Svenn Torgersen & Einar Kringlen, 2004. "Quality of Life in a City: The Effect of Population Density," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 69(1), pages 103-116, October.
    3. Fiseha Haile & Miguel Niño†Zarazúa, 2018. "Does Social Spending Improve Welfare in Low†income and Middle†income Countries?," Journal of International Development, John Wiley & Sons, Ltd., vol. 30(3), pages 367-398, April.
    4. John A. List & Daniel M. Sturm, 2006. "How Elections Matter: Theory and Evidence from Environmental Policy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1249-1281.
    5. Powdthavee, Nattavudh & Lekfuangfu, Warn N. & Wooden, Mark, 2015. "What's the good of education on our overall quality of life? A simultaneous equation model of education and life satisfaction for Australia," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 54(C), pages 10-21.
    6. Chiara Garau & Valentina Maria Pavan, 2018. "Evaluating Urban Quality: Indicators and Assessment Tools for Smart Sustainable Cities," Sustainability, MDPI, vol. 10(3), pages 1-18, February.
    7. Richard Estes, 1997. "Social Development Trends in Europe, 1970–1994: Development Prospects for the New Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 42(1), pages 1-19, September.
    8. Alexandra Jane Crossley & Alessio Russo, 2022. "Has the Pandemic Altered Public Perception of How Local Green Spaces Affect Quality of Life in the United Kingdom?," Sustainability, MDPI, vol. 14(13), pages 1-14, June.
    9. Mafrolla, Elisabetta & D’Amico, Eugenio, 2016. "Tax aggressiveness in family firms and the non-linear entrenchment effect," Journal of Family Business Strategy, Elsevier, vol. 7(3), pages 178-184.
    10. Winters, John V., 2011. "Human capital, higher education institutions, and quality of life," Regional Science and Urban Economics, Elsevier, vol. 41(5), pages 446-454, September.
    11. Omar Fassio & Chiara Rollero & Norma Piccoli, 2013. "Health, Quality of Life and Population Density: A Preliminary Study on “Contextualized” Quality of Life," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 110(2), pages 479-488, January.
    12. Govindamal Thangiah & Mas Ayu Said & Hazreen Abdul Majid & Daniel Reidpath & Tin Tin Su, 2020. "Income Inequality in Quality of Life among Rural Communities in Malaysia: A Case for Immediate Policy Consideration," IJERPH, MDPI, vol. 17(23), pages 1-19, November.
    13. Noelia Somarriba Arechavala & Pilar Zarzosa Espina, 2019. "Quality of Life in the European Union: An Econometric Analysis from a Gender Perspective," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 142(1), pages 179-200, February.
    14. Puertas, Rosa & Marti, Luisa & Guaita-Martinez, José M., 2020. "Innovation, lifestyle, policy and socioeconomic factors: An analysis of European quality of life," Technological Forecasting and Social Change, Elsevier, vol. 160(C).
    15. Azhar Manzoor, 2014. "A Look at Efficiency in Public Administration," SAGE Open, , vol. 4(4), pages 21582440145, December.
    16. Jaime Ruiz-Tagle & Ignacio Urria, 2020. "Household Overcrowding and Mental Well-Being: Better Safe than Sorry," Working Papers wp494, University of Chile, Department of Economics.
    17. Hirschberg, Joseph G. & Maasoumi, Esfandiar & Slottje, Daniel J., 1991. "Cluster analysis for measuring welfare and quality of life across countries," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 131-150, October.
    18. Slottje, Daniel J, 1991. "Measuring the Quality of Life across Countries," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 684-693, November.
    19. Gracia, Enrique & Merlo, Juan, 2016. "Intimate partner violence against women and the Nordic paradox," Social Science & Medicine, Elsevier, vol. 157(C), pages 27-30.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jesus Perez-Mayo, 2005. "Identifying deprivation profiles in Spain: a new approach," Applied Economics, Taylor & Francis Journals, vol. 37(8), pages 943-955.
    2. José Antonio Rodriguez Martin & Juan Dios Jiménez Aguilera & José María Martín Martín & José Antonio Salinas Fernández, 2018. "Crisis in the Horn of Africa: Measurement of Progress Towards Millennium Development Goals," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(2), pages 499-514, January.
    3. Maria Ana Lugo & Esfandiar Maasoumi, 2008. "Multidimensional Poverty Measures from an Information Theory Perspective," Working Papers 85, ECINEQ, Society for the Study of Economic Inequality.
    4. Keonsup Song, 2008. "An Analysis of The Difference In Korean-Americans’ QOL: A Study of Seattle Area Residents," International Review of Public Administration, Taylor & Francis Journals, vol. 13(2), pages 63-79, September.
    5. João Monteiro & Ana Clara Carrilho & Nuno Sousa & Leise Kelli de Oliveira & Eduardo Natividade-Jesus & João Coutinho-Rodrigues, 2023. "Do We Live Where It Is Pleasant? Correlates of Perceived Pleasantness with Socioeconomic Variables," Land, MDPI, vol. 12(4), pages 1-20, April.
    6. Haroon Jamal & Amir Jahan Khan, 2003. "The Changing Profile of Regional Inequality," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 42(2), pages 113-123.
    7. Valérie Berenger & Cuauhtémoc Calderón Villarreal & Franck Celestini, 2009. "Modelling the Distribution of Multidimensional Poverty Scores: Evidence from Mexico," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 24(1), pages 3-34.
    8. Daniel Gallardo-Albarrán, 2024. "Capital, Productivity, and Human Welfare Since 1870," Springer Books, in: Claude Diebolt & Michael Haupert (ed.), Handbook of Cliometrics, edition 3, pages 2023-2048, Springer.
    9. Luis Ayala & Antonio Jurado & Jesús Pérez‐Mayo, 2011. "Income Poverty And Multidimensional Deprivation: Lessons From Cross‐Regional Analysis," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(1), pages 40-60, March.
    10. Decancq, Koen & Decoster, André & Schokkaert, Erik, 2009. "The Evolution of World Inequality in Well-being," World Development, Elsevier, vol. 37(1), pages 11-25, January.
    11. Ballon, Paola, 2013. "The selection of functionings and capabilities: A survey of empirical studies," PEP Working Papers 160427, Partnership for Economic Policy (PEP).
    12. Ridha Chkoundali & Houda Haffoudhi & Houda Abdenneji, 2011. "Institutional Sphere Contribution to Human Development: An Institutional Approach," Working Papers 629, Economic Research Forum, revised 09 Jan 2011.
    13. PEREZ MAYO Jésus, 2003. "Measuring deprivation in Spain," IRISS Working Paper Series 2003-09, IRISS at CEPS/INSTEAD.
    14. Katia Iglesias & Christian Suter & Tugce Beycan & B. P. Vani, 2017. "Exploring Multidimensional Well-Being in Switzerland: Comparing Three Synthesizing Approaches," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 134(3), pages 847-875, December.
    15. Lorena Alcazar & Raul Andrade, 2008. "Quality of life in urban neighborhoods in Metropolitan Lima, Peru," Research Department Publications 3261, Inter-American Development Bank, Research Department.
    16. Katharina Schley, 2018. "Health care service provision in Europe and regional diversity: a stochastic metafrontier approach," Health Economics Review, Springer, vol. 8(1), pages 1-11, December.
    17. Talita Greyling & Stephanié Rossouw, 2017. "Non-Economic Quality of Life and Population Density in South Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 134(3), pages 1051-1075, December.
    18. Vicente Royuela & Manuel Artis, 2006. "Convergence analysis in terms of quality of life in the urban systems of the Barcelona province, 1991-2000," Regional Studies, Taylor & Francis Journals, vol. 40(5), pages 485-492.
    19. Oleg A. Kryzhanovskij & Natalia A. Baburina & Anastasia O. Ljovkina, 2021. "How to Make Digitalization Better Serve an Increasing Quality of Life?," Sustainability, MDPI, vol. 13(2), pages 1-11, January.
    20. Vivien Kana Zeumo & Blaise Some & Alexis Tsoukiàs, 2011. "A survey on Multidimensional Poverty Measurement: a Decision Aiding Perspective," Working Papers hal-00875525, HAL.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1218-:d:1085348. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.