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Identification of Patterns in CO 2 Emissions among 208 Countries: K-Means Clustering Combined with PCA and Non-Linear t -SNE Visualization

Author

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  • Ana Lorena Jiménez-Preciado

    (Escuela Superior de Economía, Instituto Politécnico Nacional, Av. Plan de Agua Prieta 66, Miguel Hidalgo, Mexico City 11350, Mexico)

  • Salvador Cruz-Aké

    (Escuela Superior de Economía, Instituto Politécnico Nacional, Av. Plan de Agua Prieta 66, Miguel Hidalgo, Mexico City 11350, Mexico)

  • Francisco Venegas-Martínez

    (Escuela Superior de Economía, Instituto Politécnico Nacional, Av. Plan de Agua Prieta 66, Miguel Hidalgo, Mexico City 11350, Mexico)

Abstract

This paper identifies patterns in total and per capita CO 2 emissions among 208 countries considering different emission sources, such as cement, flaring, gas, oil, and coal. This research uses linear and non-linear dimensional reduction techniques, combining K-means clustering with principal component analysis (PCA) and t -distributed stochastic neighbor embedding ( t -SNE), which allows the identification of distinct emission profiles among nations. This approach allows effective clustering of heterogeneous countries despite the highly dimensional nature of emissions data. The optimal number of clusters is determined using Calinski–Harabasz and Davies–Bouldin scores, of five and six clusters for total and per capita CO 2 emissions, respectively. The findings reveal that for total emissions, t -SNE brings together the world’s largest economies and emitters, i.e., China, USA, India, and Russia, into a single cluster, while PCA provides clusters with a single country for China, USA, and Russia. Regarding per capita emissions, PCA generates a cluster with only one country, Qatar, due to its significant flaring emissions, as byproduct of the oil industry, and its low population. This study concludes that international collaboration and coherent global policies are crucial for effectively addressing CO 2 emissions and developing targeted climate change mitigation strategies.

Suggested Citation

  • Ana Lorena Jiménez-Preciado & Salvador Cruz-Aké & Francisco Venegas-Martínez, 2024. "Identification of Patterns in CO 2 Emissions among 208 Countries: K-Means Clustering Combined with PCA and Non-Linear t -SNE Visualization," Mathematics, MDPI, vol. 12(16), pages 1-18, August.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2591-:d:1461259
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    References listed on IDEAS

    as
    1. Mijail Eduardo Ruiz-Alemán & Carolina Carbajal-De-Nova & Francisco Venegas-Martínez, 2023. "On the Nexus between Economic growth and Environmental Degradation in 28 Countries Classified by Income Level: A Panel Data with an Error-components Model," International Journal of Energy Economics and Policy, Econjournals, vol. 13(6), pages 523-536, November.
    2. Roberto J. Santill n-Salgado & Humberto Valencia-Herrera & Francisco Venegas-Mart nez, 2020. "On the Relations among CO2 Emissions, Gross Domestic Product, Energy Consumption, Electricity Use, Urbanization, and Income Inequality for a Sample of 134 Countries," International Journal of Energy Economics and Policy, Econjournals, vol. 10(6), pages 195-207.
    3. Polat, Mustafa & Kara, Karahan & Yalcin, Galip Cihan, 2022. "Clustering Countries on Logistics Performance and Carbon Dioxide (CO2) Emission Efficiency: An Empirical Analysis," Business and Economics Research Journal, Uludag University, Faculty of Economics and Administrative Sciences, vol. 13(2), pages 221-238, April.
    4. Lipeng Huang & Xiangyan Geng & Jianxu Liu, 2023. "Study on the Spatial Differences, Dynamic Evolution and Convergence of Global Carbon Dioxide Emissions," Sustainability, MDPI, vol. 15(6), pages 1-19, March.
    5. Akash Saxena & Ramadan A. Zeineldin & Ali Wagdy Mohamed, 2023. "Development of Grey Machine Learning Models for Forecasting of Energy Consumption, Carbon Emission and Energy Generation for the Sustainable Development of Society," Mathematics, MDPI, vol. 11(6), pages 1-13, March.
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