CO2 Emission Modeling in Asian Countries Using a Truncated Spline Nonparametric Regression Approach on Panel Data

Authors

  • Dita Amelia Airlangga University
  • Anisah Nabilah Ghasani
  • Salsabilla Rusydah Putri

DOI:

https://doi.org/10.20956/yee72c02

Keywords:

CO2 Emissions, Spline Truncated, Population Density, Primary Energy Consumption, Urban Population

Abstract

Climate change, driven by increasing carbon dioxide (CO₂) emissions, has become a major global challenge, with Asian countries contributing nearly 50% of total worldwide emissions. This study aims to model the factors affecting CO₂ emissions in Asian countries using a truncated spline nonparametric regression approach with panel data from 2020 to 2023. The predictor variables considered are population density, primary energy consumption, and urban population, while CO₂ emissions serve as the response variable. Optimal knot points were determined using the Generalized Cross Validation (GCV) criterion. The results indicate that the model with three knots provides the best performance, yielding a GCV value of 0.00004, a Mean Square Error (MSE) of 0.005248, and a coefficient of determination (R²) of 99.99206%. The findings reveal that differences in energy consumption patterns, industrialization levels, and dependence on fossil fuels contribute significantly to variations in CO₂ emissions among countries. The thematic map analysis further shows that high emissions are not always associated with high population density or urban population. Overall, the selected predictor variables explain almost all variations in CO₂ emissions across Asian countries. These findings provide a more comprehensive understanding of emission dynamics and offer valuable insights for the development of sustainable energy and environmental policies in the Asian region.

References

[1] Ahmad, N. A., & Raupong, R., 2023. Estimation Of Parameter Regression Panel Data Model Using Least Square Dummy Variable Method. Jurnal Matematika, Statistika Dan Komputasi, 20(1), 221–228. https://doi.org/10.20956/j.v20i1.27530

[2] Energy Institute, 2023. Statistical Review of World Energy 2024 (73rd edition). Energy Institute (Vol. 73). https://www.energyinst.org/__data/assets/pdf_file/0006/1542714/684_EI_Stat_Review_V16_DIGITAL.pdf

[3] Energy Tracker Asia, 2024. Are Carbon Emissions Decreasing? Energy Tracker Asia. https://energytracker.asia/are-carbon-emissions-decreasing/

[4] Fan, J., & Yao, Q., 2003. Nonlinear Time Series: Nonparametric and Parametric Methods. Springer. https://doi.org/10.1198/tech.2004.s746

[5] Gao, J., 2024. R-Squared (R2) – How Much Variation is Explained? Research Methods in Medicine & Health Sciences, 5(4), 104–109. https://doi.org/10.1177/26320843231186398

[6] Gunawan, I., Kusnawan, A., & Hernawan, E., 2021. Impact of Work from Home Policy Implementation on Work Effectiveness and Productivity in Tangerang City. Primanomics : Jurnal Ekonomi & Bisnis, 19(1), 99–107. https://doi.org/10.31253/pe.v19i1.508

[7] International Energy Agency, 2021. Global Energy Review 2021. International Energy Agency. https://iea.blob.core.windows.net/assets/d0031107-401d-4a2f-a48b-9eed19457335/GlobalEnergyReview2021.pdf

[8] International Energy Agency, 2022. Global Energy Review: CO2 Emissions in 2021. International Energy Agency. https://www.iea.org/news/global-co2-emissions-rebounded-to-their-highest-level-in-history-in-2021

[9] International Energy Agency, 2023. CO2 Emissions in 2022. International Energy Agency. https://www.iea.org/reports/co2-emissions-in-2022

[10] International Energy Agency, 2024a. CO2 Emissions in 2023. International Energy Agency. https://www.iea.org/reports/co2-emissions-in-2023

[11] International Energy Agency, 2024b. Energy-Intensive Economic Growth, Compounded by Unfavourable Weather, Pushed Emissions Up in China and India. International Energy Agency. https://www.iea.org/reports/co2-emissions-in-2023/energy-intensive-economic-growth-compounded-by-unfavourable-weather-pushed-emissions-up-in-china-and-india

[12] Nurhuda, G. N., Wasono, W., & Nohe, D. A., 2022. Nonparametric Regression Modeling Based on Spline Truncated Estimator on Simulation Data. Jurnal Matematika, Statistika Dan Komputasi, 19(1), 172–182. https://doi.org/10.20956/j.v19i1.21534

[13] Ramli, M., Ratnasari, V., & Nyoman Budiantara, I., 2020. Estimation of Matrix Variance-Covariance on Nonparametric Regression Spline Truncated for Longitudinal Data. Journal of Physics: Conference Series, 1562(1), 012014. https://doi.org/10.1088/1742-6596/1562/1/012014

[14] Reuters, 2024. Top 10 Country Emitters Discharged Record Amount of CO2 in 2023. Reuters. https://www.reuters.com/markets/commodities/top-10-country-emitters-discharged-record-amount-co2-2023-2024-06-21/

[15] Salhuteru, R., & Loklomin, S. B., 2024. Application Of Spline Truncated Nonparametric Regression In Modeling Factors Affecting Human Development Index In Maluku And North Maluku Provinces. Motekar:Journal of Education and Science, 1(2), 89–102.

Downloads

Published

2026-09-15

Issue

Section

Research Articles

How to Cite

CO2 Emission Modeling in Asian Countries Using a Truncated Spline Nonparametric Regression Approach on Panel Data. (2026). Jurnal Matematika, Statistika Dan Komputasi, 23(1), 203-214. https://doi.org/10.20956/yee72c02

Most read articles by the same author(s)