IDEAS home Printed from https://ideas.repec.org/a/spr/stmapp/v30y2021i3d10.1007_s10260-021-00559-5.html
   My bibliography  Save this article

Confronting collinearity in environmental regression models: evidence from world data

Author

Listed:
  • Claudia García-García

    (University of Granada)

  • Catalina B. García-García

    (University of Granada)

  • Román Salmerón

    (University of Granada)

Abstract

Despite the evidence, the correlation between environmental impact factors has mostly been neglected in econometric environmental models or treated with traditional methodologies such as ridge regression, which are recommended when the goal is prediction and the estimated parameters are not interpreted as causal effects. This paper addresses the existing collinearity with alternative methodologies, not only to mitigate the problem mechanically, but also to isolate the effects of the environmental impact factors with the main objective of designing better policies for countries. The methodologies are applied to analyze the CO $$_2$$ 2 emissions of 114 countries covering the thirteen most recent years with available data, and the results from the empirical and methodological perspectives are compared. The treatment of collinearity with the residualization or raise regression procedures allows the researcher to obtain a global vision of the relationship between the different factors affecting CO $$_2$$ 2 emissions, thus reaching alternative conclusions to those from traditional methodologies.

Suggested Citation

  • Claudia García-García & Catalina B. García-García & Román Salmerón, 2021. "Confronting collinearity in environmental regression models: evidence from world data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(3), pages 895-926, September.
  • Handle: RePEc:spr:stmapp:v:30:y:2021:i:3:d:10.1007_s10260-021-00559-5
    DOI: 10.1007/s10260-021-00559-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10260-021-00559-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10260-021-00559-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. de Bruyn, S. M. & van den Bergh, J. C. J. M. & Opschoor, J. B., 1998. "Economic growth and emissions: reconsidering the empirical basis of environmental Kuznets curves," Ecological Economics, Elsevier, vol. 25(2), pages 161-175, May.
    2. Liddle, Brantley, 2013. "Population, Affluence, and Environmental Impact Across Development: Evidence from Panel Cointegration Modeling," MPRA Paper 52088, University Library of Munich, Germany.
    3. Marian R. Chertow, 2000. "The IPAT Equation and Its Variants," Journal of Industrial Ecology, Yale University, vol. 4(4), pages 13-29, October.
    4. Pao, Hsiao-Tien & Tsai, Chung-Ming, 2010. "CO2 emissions, energy consumption and economic growth in BRIC countries," Energy Policy, Elsevier, vol. 38(12), pages 7850-7860, December.
    5. Inmaculada Martínez-Zarzoso & Aurelia Bengochea-Morancho & Rafael Morales-Lage, 2007. "The impact of population on CO 2 emissions: evidence from European countries," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 38(4), pages 497-512, December.
    6. Xie, Qichang & Liu, Junxian, 2019. "Combined nonlinear effects of economic growth and urbanization on CO2 emissions in China: Evidence from a panel data partially linear additive model," Energy, Elsevier, vol. 186(C).
    7. Jørgen Lauridsen & Jesùs Mur, 2006. "Multicollinearity in cross-sectional regressions," Journal of Geographical Systems, Springer, vol. 8(4), pages 317-333, October.
    8. Minda Ma & Ran Yan & Weiguang Cai, 2017. "An extended STIRPAT model-based methodology for evaluating the driving forces affecting carbon emissions in existing public building sector: evidence from China in 2000–2015," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 89(2), pages 741-756, November.
    9. Rafindadi, Abdulkadir Abdulrashid, 2016. "Revisiting the concept of environmental Kuznets curve in period of energy disaster and deteriorating income: Empirical evidence from Japan," Energy Policy, Elsevier, vol. 94(C), pages 274-284.
    10. Jia, Junsong & Deng, Hongbing & Duan, Jing & Zhao, Jingzhu, 2009. "Analysis of the major drivers of the ecological footprint using the STIRPAT model and the PLS method--A case study in Henan Province, China," Ecological Economics, Elsevier, vol. 68(11), pages 2818-2824, September.
    11. York, Richard & Rosa, Eugene A. & Dietz, Thomas, 2003. "STIRPAT, IPAT and ImPACT: analytic tools for unpacking the driving forces of environmental impacts," Ecological Economics, Elsevier, vol. 46(3), pages 351-365, October.
    12. Douglas M. Hawkins, 1973. "On the Investigation of Alternative Regressions by Principal Component Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(3), pages 275-286, November.
    13. Khan, Syed Abdul Rehman & Zaman, Khalid & Zhang, Yu, 2016. "The relationship between energy-resource depletion, climate change, health resources and the environmental Kuznets curve: Evidence from the panel of selected developed countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 62(C), pages 468-477.
    14. Alexis Lazaridis, 2007. "A Note Regarding the Condition Number: The Case of Spurious and Latent Multicollinearity," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(1), pages 123-135, February.
    15. Brantley Liddle, 2011. "Consumption-Driven Environmental Impact and Age Structure Change in OECD Countries," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 24(30), pages 749-770.
    16. Pablo-Romero, María del P. & De Jesús, Josué, 2016. "Economic growth and energy consumption: The Energy-Environmental Kuznets Curve for Latin America and the Caribbean," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 1343-1350.
    17. Liddle, Brantley & Lung, Sidney, 2010. "Age-Structure, Urbanization, and Climate Change in Developed Countries: Revisiting STIRPAT for Disaggregated Population and Consumption-Related Environmental Impacts," MPRA Paper 59579, University Library of Munich, Germany.
    18. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    19. Chris Chatfield, 1995. "Model Uncertainty, Data Mining and Statistical Inference," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 158(3), pages 419-444, May.
    20. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    21. Martin Gassebner & Michael J. Lamla & Jan-Egbert Sturm, 2011. "Determinants of pollution: what do we really know?," Oxford Economic Papers, Oxford University Press, vol. 63(3), pages 568-595, July.
    22. Annegrete Bruvoll & Hege Medin, 2003. "Factors Behind the Environmental Kuznets Curve. A Decomposition of the Changes in Air Pollution," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 24(1), pages 27-48, January.
    23. Donald R. Jensen & Donald E. Ramirez, 2008. "Anomalies in the Foundations of Ridge Regression," International Statistical Review, International Statistical Institute, vol. 76(1), pages 89-105, April.
    24. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    25. Roberts, J. Timmons & Grimes, Peter E., 1997. "Carbon intensity and economic development 1962-1991: A brief exploration of the environmental Kuznets curve," World Development, Elsevier, vol. 25(2), pages 191-198, February.
    26. Rajdeep Grewal & Joseph A. Cote & Hans Baumgartner, 2004. "Multicollinearity and Measurement Error in Structural Equation Models: Implications for Theory Testing," Marketing Science, INFORMS, vol. 23(4), pages 519-529, June.
    27. William T. Harbaugh & Arik Levinson & David Molloy Wilson, 2002. "Reexamining The Empirical Evidence For An Environmental Kuznets Curve," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 541-551, August.
    28. Wei, Taoyuan, 2011. "What STIRPAT tells about effects of population and affluence on the environment?," Ecological Economics, Elsevier, vol. 72(C), pages 70-74.
    29. Azam, Muhammad & Khan, Abdul Qayyum, 2016. "Testing the Environmental Kuznets Curve hypothesis: A comparative empirical study for low, lower middle, upper middle and high income countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 63(C), pages 556-567.
    30. Pesaran, M. Hashem, 2015. "Time Series and Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780198759980, Decembrie.
    31. Büchs, Milena & Schnepf, Sylke V., 2013. "Who emits most? Associations between socio-economic factors and UK households' home energy, transport, indirect and total CO2 emissions," Ecological Economics, Elsevier, vol. 90(C), pages 114-123.
    32. Kumar, Surender, 2006. "Environmentally sensitive productivity growth: A global analysis using Malmquist-Luenberger index," Ecological Economics, Elsevier, vol. 56(2), pages 280-293, February.
    33. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    34. Ruoyu Yang & Weidong Chen, 2019. "Spatial Correlation, Influencing Factors and Environmental Supervision on Mechanism Construction of Atmospheric Pollution: An Empirical Study on SO 2 Emissions in China," Sustainability, MDPI, vol. 11(6), pages 1-13, March.
    35. Jaruwan Chontanawat, 2019. "Driving Forces of Energy-Related CO 2 Emissions Based on Expanded IPAT Decomposition Analysis: Evidence from ASEAN and Four Selected Countries," Energies, MDPI, vol. 12(4), pages 1-23, February.
    36. Vélez-Henao, Johan-Andrés & Font Vivanco, David & Hernández-Riveros, Jesús-Antonio, 2019. "Technological change and the rebound effect in the STIRPAT model: A critical view," Energy Policy, Elsevier, vol. 129(C), pages 1372-1381.
    37. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    38. Torras, Mariano & Boyce, James K., 1998. "Income, inequality, and pollution: a reassessment of the environmental Kuznets Curve," Ecological Economics, Elsevier, vol. 25(2), pages 147-160, May.
    39. Coondoo, Dipankor & Dinda, Soumyananda, 2002. "Causality between income and emission: a country group-specific econometric analysis," Ecological Economics, Elsevier, vol. 40(3), pages 351-367, March.
    40. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    41. Hamilton, Clive & Turton, Hal, 2002. "Determinants of emissions growth in OECD countries," Energy Policy, Elsevier, vol. 30(1), pages 63-71, January.
    42. Mohammad Alauddin & Hong Son Nghiem, 2010. "Do instructional attributes pose multicollinearity problems? An empirical exploration," Economic Analysis and Policy, Elsevier, vol. 40(3), pages 351-361, December.
    43. Massimiliano Giacalone & Demetrio Panarello & Raffaele Mattera, 2018. "Multicollinearity in regression: an efficiency comparison between Lp-norm and least squares estimators," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(4), pages 1831-1859, July.
    44. Jiefang Dong & Chun Deng & Rongrong Li & Jieyu Huang, 2016. "Moving Low-Carbon Transportation in Xinjiang: Evidence from STIRPAT and Rigid Regression Models," Sustainability, MDPI, vol. 9(1), pages 1-15, December.
    45. Kilbourne, William E. & Thyroff, Anastasia, 2020. "STIRPAT for marketing: An introduction, expansion, and suggestions for future use," Journal of Business Research, Elsevier, vol. 108(C), pages 351-361.
    46. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
    47. Henk Kiers & Age Smilde, 2007. "A comparison of various methods for multivariate regression with highly collinear variables," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 16(2), pages 193-228, August.
    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. Kwakwa, Paul Adjei & Alhassan, Hamdiyah & Adu, George, 2018. "Effect of natural resources extraction on energy consumption and carbon dioxide emission in Ghana," MPRA Paper 85401, University Library of Munich, Germany.
    2. Cambier, Adrien & Chardy, Matthieu & Figueiredo, Rosa & Ouorou, Adam & Poss, Michael, 2022. "Optimizing subscriber migrations for a telecommunication operator in uncertain context," European Journal of Operational Research, Elsevier, vol. 298(1), pages 308-321.
    3. Libura, Marek, 2007. "On the adjustment problem for linear programs," European Journal of Operational Research, Elsevier, vol. 183(1), pages 125-134, November.
    4. Christophe Loussouarn & Carine Franc & Yann Videau & Julien Mousquès, 2021. "Can General Practitioners Be More Productive? The Impact of Teamwork and Cooperation with Nurses on GP Activities," Health Economics, John Wiley & Sons, Ltd., vol. 30(3), pages 680-698, March.
    5. Tschakert, Petra, 2016. "Shifting Discourses of Vilification and the Taming of Unruly Mining Landscapes in Ghana," World Development, Elsevier, vol. 86(C), pages 123-132.
    6. María-Consuelo Casabán & Rafael Company & Lucas Jódar, 2020. "Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness," Mathematics, MDPI, vol. 8(7), pages 1-16, July.
    7. Isabelle Boutron & Peter John & David J. Torgerson, 2010. "Reporting Methodological Items in Randomized Experiments in Political Science," The ANNALS of the American Academy of Political and Social Science, , vol. 628(1), pages 112-131, March.
    8. Ben Slimane, Faten & Padilla Angulo, Laura, 2019. "Strategic change and corporate governance: Evidence from the stock exchange industry," Journal of Business Research, Elsevier, vol. 103(C), pages 206-218.
    9. Bossert, Walter & Derks, Jean & Peters, Hans, 2005. "Efficiency in uncertain cooperative games," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 12-23, July.
    10. Weijun Xie & Yanfeng Ouyang & Sze Chun Wong, 2016. "Reliable Location-Routing Design Under Probabilistic Facility Disruptions," Transportation Science, INFORMS, vol. 50(3), pages 1128-1138, August.
    11. Sin-Yu Ho & N.M. Odhiambo, 2018. "Analysing the macroeconomic drivers of stock market development in the Philippines," Cogent Economics & Finance, Taylor & Francis Journals, vol. 6(1), pages 1451265-145, January.
    12. Natalia Nikolaevna Natocheeva* & Yuri Alexandrovich Rovensky & Yuri Yuryevich Rusanov & Tatiana Viktorovna Belyanchikova & Anna Anatolevna Staurskaya, 2018. "Optimizing Variability of Approaches to Regulatory Financing of Higher Education Services," The Journal of Social Sciences Research, Academic Research Publishing Group, pages 221-227:3.
    13. Philip Arestis & Howard Stein, 2005. "An Institutional Perspective to Finance and Development as an Alternative to Financial Liberalisation," International Review of Applied Economics, Taylor & Francis Journals, vol. 19(4), pages 381-398.
    14. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2020. "Sustainable distribution system design: a two-phase DoE-guided meta-heuristic solution approach for a three-echelon bi-objective AHP-integrated location-routing model," Annals of Operations Research, Springer, vol. 290(1), pages 191-222, July.
    15. Cabada, Alberto & Fernández-Gómez, Carlos, 2015. "Constant sign solutions of two-point fourth order problems," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 122-133.
    16. Andy Hall, 2005. "Capacity development for agricultural biotechnology in developing countries: an innovation systems view of what it is and how to develop it," Journal of International Development, John Wiley & Sons, Ltd., vol. 17(5), pages 611-630.
    17. Athinoula A. Kosti & Simon Colreavy-Donnelly & Fabio Caraffini & Zacharias A. Anastassi, 2020. "Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    18. Bruno Frey, 2005. "Problems with Publishing: Existing State and Solutions," European Journal of Law and Economics, Springer, vol. 19(2), pages 173-190, April.
    19. Lan, Heng-you, 2021. "Approximation-solvability of population biology systems based on p-Laplacian elliptic inequalities with demicontinuous strongly pseudo-contractive operators," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    20. D. F. M. Torres & G. Leitmann, 2008. "Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 53-59, April.

    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:spr:stmapp:v:30:y:2021:i:3:d:10.1007_s10260-021-00559-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.