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

Jurnal Matematika, Statistika dan Komputasi · Vol. 23 No. 1 (2026) · pp. 203–214

DOI
10.20956/yee72c02
ISSN
2614-8811, 1858-1382
Published
2026-09-15
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

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.

Keywords

Collaboration network of the authors

40 authors · 126 co-authorship links · showing the 40 most connected

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  • Universitas Airlangga
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Suliyanto SuliyantoUniversitas Airlangga4
Suliyanto SuliyantoUniversitas Airlangga3
Nur ChamidahUniversitas Airlangga2
Ardi KurniawanUniversitas Airlangga2
Elly AnaUniversitas Airlangga2
Najwa Khoir AldawiyahUniversitas Airlangga2
Sediono SedionoUniversitas Airlangga2
Idrus SyahzaqiUniversitas Airlangga2
Berliani LarasatiUniversitas Airlangga1
Qumadha Zaenal AbidinAffiliation unknown1
Juan Krisfigo PrasetyoUniversitas Airlangga1
Alma Khalisa RahmaUniversitas Airlangga1
Steven SoewignjoUniversitas Airlangga1
Ni Wayan Widya Septia SariUniversitas Airlangga1
Andini Putri MedianiUniversitas Airlangga1
M. Aqil Zaidan KamilUniversitas Airlangga1
Rosidun Nindyo PratiwiUniversitas Airlangga1
Nathania FauziahUniversitas Airlangga1
Bimo Okta SyahputraUniversitas Airlangga1
Ahmad Wahyu FirmandaUniversitas Airlangga1
Mega Kurnia DyaksaUniversitas Airlangga1
Anggi Triya VionitaUniversitas Airlangga1
Galuh Cahya NugrahaUniversitas Airlangga1
Billy Christandy SuyonoUniversitas Airlangga1
Muhammad Rosyid Ridho Az ZuhroUniversitas Airlangga1
Tentri Ryan RahmanitaUniversitas Airlangga1
Kimberly Maserati SiagianUniversitas Airlangga1
Nadinta Kasih AmaliaUniversitas Airlangga1
Nadya Lovita Hana TrisaUniversitas Airlangga1
Gabriella Agnes BudijonoUniversitas Airlangga1
Rere Fetri DamanikUniversitas Airlangga1
Azizah Atsariyyah ZhafiraUniversitas Airlangga1
Dita AmeliaAffiliation unknown1
Aini Divayanti ArrofahAffiliation unknown1
Azzah Nazhifa Wina RamadhaniAffiliation unknown1
Aulia RamadhantiAffiliation unknown1
M. Nabil SaputraUniversitas Airlangga1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en">CO2 Emission Modeling in Asian Countries Using a Truncated Spline Nonparametric Regression Approach on Panel Data</dc:title>
	<dc:creator xml:lang="en">Amelia, Dita</dc:creator>
	<dc:creator xml:lang="en">Ghasani, Anisah Nabilah</dc:creator>
	<dc:creator xml:lang="en">Putri, Salsabilla Rusydah</dc:creator>
	<dc:subject xml:lang="en">CO2 Emissions</dc:subject>
	<dc:subject xml:lang="en">Spline Truncated</dc:subject>
	<dc:subject xml:lang="en">Population Density</dc:subject>
	<dc:subject xml:lang="en">Primary Energy Consumption</dc:subject>
	<dc:subject xml:lang="en">Urban Population</dc:subject>
	<dc:subject xml:lang="en">CO2 Emissions</dc:subject>
	<dc:subject xml:lang="en">Spline Truncated</dc:subject>
	<dc:subject xml:lang="en">Population Density</dc:subject>
	<dc:subject xml:lang="en">Primary Energy Consumption</dc:subject>
	<dc:subject xml:lang="en">Urban Population</dc:subject>
	<dc:description xml:lang="en">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.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2026-09-15</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Text</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/52218</dc:identifier>
	<dc:identifier>10.20956/yee72c02</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 23 No. 1 (2026): September 2026; 203-214</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/52218/15015</dc:relation>
	<dc:coverage xml:lang="en">Asian Country</dc:coverage>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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