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author:

Zhu, X. (Zhu, X..) [1] | Feng, T. (Feng, T..) [2] | Shen, Y. (Shen, Y..) [3] | Zhang, N. (Zhang, N..) [4] | Guo, X. (Guo, X..) [5]

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Scopus

Abstract:

This study proposes a three-level meta-frontier framework enhanced with machine learning-driven projection methods to address the dual heterogeneity in carbon emission efficiency analysis arising from regional disparities and industrial diversification. Methodologically, we introduce two novel projection combinations—“exogenous-exogenous-accumulation (E-E-A) and exogenous-exogenous-consistent (E-E-C)”—to resolve the inconsistency of technology gap ratios (TGRs > 1) in traditional nonradial directional distance function (DDF) models. Reinforcement learning (RL) optimizes dynamic direction vectors, whereas graph neural networks (GNNs) encode spatial interdependencies to constrain the TGR within [0, 1]. Empirical analysis of 60 countries reveals that (1) E-E-C eliminates the TGR overestimation by 12–18% in energy-intensive sectors (e.g., reducing Asia’s secondary industry (Formula presented.) from 1.160 to 1.000); (2) industrial heterogeneity dominates inefficiency in Asia (IHI = 0.207), whereas management gaps drive global secondary sector inefficiency (MI = 0.678); and (3) policy simulations advocate for decentralized renewables in Africa, fiscal incentives for Asian coal retrofits, and expanded EU carbon border taxes. Computational enhancements via Apache Spark achieve a 58% runtime reduction. The framework advances environmental efficiency analysis by integrating machine learning with meta-frontier theory, offering both methodological rigor (via regularization and GNN constraints) and actionable decarbonization pathways. Limitations include static heterogeneity assumptions and data granularity gaps, prompting the future integration of IoT-enabled dynamic models. © 2025 by the authors.

Keyword:

carbon emission efficiency heterogeneity decomposition nonradial directional distance function (DDF) technology gap ratio (TGR) three-level meta-frontier

Community:

  • [ 1 ] [Zhu X.]Institute of Advanced Studies in Humanities and Social Sciences, Beijing Normal University, Zhuhai, 519087, China
  • [ 2 ] [Feng T.]Institute of Advanced Studies in Humanities and Social Sciences, Beijing Normal University, Zhuhai, 519087, China
  • [ 3 ] [Shen Y.]The State Radio Monitoring Center, Beijing, 100043, China
  • [ 4 ] [Zhang N.]Faculty of Arts and Science, Beijing Normal University, Zhuhai, 519087, China
  • [ 5 ] [Guo X.]School of Economics & Management, Fuzhou University, Fuzhou, 350108, China

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Source :

Mathematics

ISSN: 2227-7390

Year: 2025

Issue: 9

Volume: 13

2 . 3 0 0

JCR@2023

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SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 2

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