Abstract
Improving total factor carbon productivity (TFCP) is the core pathway to China’s low-carbon economic transformation and achieving the “dual carbon” goals. Based on panel data of 30 Chinese provincial-level regions from 2010 to 2023, this paper measures regional TFCP via an undesirable-output super-efficiency SBM model and empirically analyzes the impacts and spatial spillover characteristics of industrial intelligence and the digital economy on TFCP using a Spatial Durbin Model (SDM). Results show China’s TFCP rose overall but exhibited a widening regional gap of “higher in the east, lower in the west”, with significant positive spatial autocorrelation in regional TFCP. The digital economy exerts a significantly positive direct effect and strong positive spatial spillover effect on TFCP, forming a “local driving + spatial radiation” promotion pattern. Industrial intelligence has an insignificantly negative direct effect on local TFCP, yet its positive spatial spillover effect is significant at the 1% level, leading to a significantly positive total effect that reflects its obvious spatial externality, with low-carbon dividends more prominent in regional coordination. Both factors show notable regional heterogeneity: industrial intelligence has a significantly negative direct effect in the east, significantly positive in the central region and insignificant in the west, with positive indirect effects in the east and west; the digital economy presents “local-spillover dual drive” in the east, “local-dominated drive” in the central region and “spillover-dominated drive” in the west. Among control variables, coal-based energy consumption structure and secondary industry-dominated industrial structure significantly inhibit regional TFCP with strong negative spatial spillovers; green finance has an insignificant positive effect, while FDI shows an insignificantly positive direct effect and significantly negative indirect effect due to the “pollution haven” effect. The work clarifies the spatial effects and regional heterogeneity of industrial intelligence and the digital economy on TFCP, providing empirical evidence and policy references for formulating differentiated regional coordination policies, leveraging the two as a “dual engine” to boost China’s regional TFCP and advance high-quality green and low-carbon economic development.
Data availability
The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request. All scripts and custom analysis code are deposited in an established DOI‑minting version control repository at [https://zenodo.org/](https:/zenodo.org), the DOI is: doi.org/10.5281/zenodo.18973539.
References
Dai, S. Z. Understanding Automation’s Impact on Ecological Footprint: Theory and Empirical Evidence from Europe. Environ. Resour. Econ. 88 (2), 503–532 (2025).
Shaterabadi, M., Sadeghi, S. & Jirdehi, M. A. The Role of Green Hydrogen in Achieving Low and Net-Zero Carbon Emissions: Climate Change and Global Warming. Green. Energy Technol. 3, 141–153 (2024).
Wang, R. Fuzzy-based Multicriteria Analysis of the Driving Factors and Solution Strategies for Green Infrastructure Development in China. Sustainable Cities Soc. 82, 103898 (2022).
Dai, S. Z., Dai, Y., Hu, J. S. & Yu, H. C. Energy-saving technological change, regional economy growth and endowment structure: empirical evidence from Chinese cities. Technol. Anal. Strateg. Manag. 37 (12), 2845–2858 (2025a).
Akther, S., Sultanuzzaman, M. R. & Zhang, Y. Exploring the influence of green growth and energy sources on carbon-dioxide emissions: implications for climate change mitigation. Front. Environ. Sci. 12,1443915. (2024).
Kashif, U., Abbas, S., Kousar, S. & Lu, H. L. Linking of bio-energy and carbon neutrality: Navigating economic policy uncertainty and climate change policy in the USA. Energy 324, 136012 (2025).
Zhao, S., Liu, X. & Moussa, F. The Road to Carbon Neutrality: How Does Green Finance Clustering Affect TFCP in China. Palgrave Stud. Impact Finance. 11, 509–533 (2024).
Ansari, M. A., Ahmad, M. R. & Kumar, P. Examining the consumption of oil on total factor productivity and CO2 emissions: an analysis of highly oil-consuming countries. Int. J. Energy Sect. Managemen. 18 (6), 1244–1262 (2024).
Xie, F. J. & Jiang, X. J. Digital Economy, Industrial Intelligence, and Industrial Carbon Productivity- Spatio-Temporal Analysis Based on the Yangtze River Economic Belt. Mod. Manage. Sci. 1, 187–198 (2024).
Chen, W. & Yao, L. The impact of digital economy on carbon total factor productivity: A spatial analysis of major urban agglomerations in China. J. Environ. Manage. 351, 119765 (2024).
Xing, H. Z. & Yao, J. Impact of digital economy development on carbon productivity: An empirical analysis based on threshold effect and spatial spillover effect. Ecol. Econ. 2,123–138. (2024).
Kaya, Y. & Yokobori, K. Environment, Energy, and Economy: Strategies for Sustainability (United Nations University, 1997).
Färe, R., Grosskopf, S. & Pasurka, C. A. Environmental production functions and environmental directional distance functions. Energy 32 (7), 1055–1066 (2007).
Oh, D. H. A global Malmquist-Luenberger productivity index. J. Prod. Anal. 34 (3), 183–197 (2010).
Acemoglu, D., Aghion, P., Bursztyn, L. & Hemous, D. The Environment and Directed Technical Change. Am. Econ. Rev. 102 (1), 131–166 (2012).
Gan, C. H., Zheng, R. G. & Yu, D. F. The Impact of China’s Industrial Structure Transformation on Economic Growth and Fluctuations. Econ. Res. J. 5, 4–16 (2011).
Porter, M. E. & van der Linde, C. Toward a New Conception of the Environment-Competitiveness Relationship. J. Economic Perspect. 9 (4), 97–118 (1995).
Li, Y. Y., Pan, A. & Liu, F. How Does Industrial Intelligence Affect Corporate Energy Efficiency? An Empirical Test from the Perspective of Machine Replacement of Labor. China Industrial Econ. 5, 118–136 (2021).
Saunders, H. D. The Khazzoom-Brookes Postulate and Neoclassical Growth. Energy J. 13 (4), 131–148 (1992).
Guo, K. X. & Peng, J. Z. Theoretical mechanisms and pathway selection for digital economy-driven low-carbon development. Manag. World 38 (2), 68–83. (2022).
He, D. A. Digital Economy and Green Economic Development: Theoretical Interpretation and Practical Pathways. Acad. Monthly. 53 (8), 49–59 (2021).
Zhang, B. & Cao, Y. J. The Internal Mechanism and Implementation Pathways of Computing Power Driving High-Quality Development of the Digital Economy. J. Univ. Electron. Sci. Technol. China (Social Sci. Edition). 27 (1), 19–2635 (2025).
Ning, C. S. Digital economy and manufacturing high-quality development: coupling mechanism and empirical test. Economist 3, 102–111. (2022).
Tone, K. A slacks-based measure of super-efficiency in data envelopment analysis. Eur. J. Opera- tional Res. 143 (1), 32–41 (2022).
Bai, X. J. & Sun, X. Z. The impact of internet development on total factor carbon productivity: cost, innovation, or demand-driven? China Popul. Resour. Environ. 31 (010), 105–117. (2021).
Shan, H. J. Re-estimation of China’s Capital Stock. Res. Quant. Econ. Tech. Econ. 25 (10), 1952–2006 (2008).
Hao, Y., Huang, X. H. & Zhang, N. Can Network infrastructure construction enhance urban total factor carbon productivity? China Popul. Resour. Environ. 3, 46–56. (2025).
Li, C. X. & Liu, Z. J. Research on the Relationship between Digital Economy, Energy Transition, and Total Factor Carbon Productivity. Coal Econ. Res. 45 (8), 58–65 (2025).
Guo, W. X. & Sun, H. Study on the Impact of Environmental Regulations and Technological Innovation on Total Factor Carbon Productivity: A Spatial Panel Data Analysis Based on Chinese Provinces. Scence Technol. Manage. Res. 40 (23), 239–247 (2020).
Wu, C. Q. & Deng, M. L. Study on the Impact of Digital Economic Development on China’s Industrial Carbon Productivity. China Soft Sci. 11, 189–200 (2023).
Du, C. Z., Cao, Y. H. & Meng, T. C. Industrial Intelligence Influences China’s Green Industrial Transformation: Mechanisms and Effects. J. China Univ. Geosci. (Social Sci. Edition). 25 (3), 62–76 (2025).
Yang, C. L. & Tong, J. Y. Industrial Intelligence and Global Carbon Emissions Reduction. Economic Latitude Longitude. 41 (1), 110–119 (2024).
Bai, T., Qi, Y. & Li, Z. Digital economy, industrial transformation and upgrading, and spatial transfer of carbon emissions: The paths for low-carbon transformation of Chinese cities. J. Environ. Manage. 344, 118528 (2023).
Jiang, W., Wu, X. & Yu, Q. How Does the Digital Economy Affect Carbon Emissions? Evidence from Panel Smooth Transition Regression Model. J. Knowl. Econ. 16 (2), 9219–9245 (2025).
He, Y., Shu, C. & Zhu, L. Does the digital economy realize the synergistic reduction of pollution and carbon emissions in China? From the perspective of the local neighborhood effects. Int. J. Low Carbon Technol. 20, 1392–1403 (2025).
Wang, C., Ibrahim, H. & Liu, P. Study on the Temporal and Spatial Pattern of Carbon Emissions and Influencing Factors in the Context of the Digital Economy. Pol. J. Environ. Stud. 34 (3), 3297–3314 (2025).
Shao, S., Fan, M. T. & Yang, L. L. Economic Restructuring, Green Technological Progress, and China’s Low-Carbon Transformation: An Empirical Examination from the Perspectives of the Overall Technology Frontier and Spatial Spillover Effects. Manage. World. 38 (2), 46–69 (2022).
Lin, Z. H. & Xiao, W. Foreign Direct Investment and Urban Carbon Emissions: Evidence from Chinese Prefecture-Level Cities. World Econ. Rev. 1 (2), 103–120 (2025).
Tian, J. G. & Wang, Y. H. Analysis of Fiscal Decentralization, Local Government Competition, and Carbon Emission Spatial Spillover Effects. China Popul. Resour. Environ. 28 (10), 36–44 (2018).
Wang, K., He, J. & Gan, C. Spatial Spillover Effects of China’s Tourism Industry Structural Transformation on Touism Carbon Emission Efficiency. China Soft Sci. 12, 50–60 (2022).
Yu, B., Yang, X. & Wu, X. L. Spatial Spillover Effects and Influencing Factors of Carbon Emissions in Counties of the Harbin-Changchun Urban Agglomeration: An Empirical Study Based on NPP-VIIRS Nighttime Light Data. Acta Sci. Circum. 40 (2), 697–706 (2020).
Li, X. Y. & Qiu, X. F. Research on the Mechanism and Pathways for Regional Collaborative Development of the Digital Economy Industry: A Perspective on the Collaborative Development of Jiangxi with the Guangdong-Hong Kong-Macao Greater Bay Area, Yangtze River Delta, and Middle Yangtze River Urban Agglomerations. Enterp. Econ. 43 (1), 107–116 (2024).
Wang, W. G., Wang, Y. L. & Fan, D. Effects and Mechanisms of Digital Economy in Promoting Carbon Emission Re- duction. Chin. J. Environ. Sci. 43 (8), 4437–4448 (2023).
Lu, L. L. Industrial Intelligence, Digital Transformation, and Carbon Reduction Performance of Energy-Intensive Enterprises. Oper. Res. Fuzzyology. 14 (03), 577–586 (2024).
Zhao, P. Y., Gao, Y. & Sun, X. Energy Conservation, Carbon Reduction, and Emission Reduction Effects of Industrial Intelligence Under Dual Control Targets. China Popul. Resour. Environ. 33 (9), 59–69 (2023).
Funding
The 2025 Social Science Research Project of Shandong University of Political Science and Law: “Research on the Mechanism and Path to Enhance the Resilience and Security of Industrial and Supply Chains” (2025); The 2025 Special Cooperative Project of Humanities and Social Sciences of Shandong Social Sciences Association: “Research on the Path and Mechanism for Enhancing the Resilience of the Intelligent Home Appliance Industrial Chain in Shandong under the Dual Circulation in the SCO Demonstration Zone" (2025); The 2025 Humanities and Social Sciences Project of Shandong Provincial Social Sciences Association: Research on the Path of Promoting High-Quality Development of Shandong’s Semiconductor Industry through the Integration of “Four Chains” under the Reconstruction of Global Supply Chains (2025); Key Project of Shandong Social Science Planning Research in 2025: “Research on Empowering the Green and Low-Carbon Transformation of Energy in Shandong Province by Digital New Quality Productivity (25BJJJ05)”.
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Dandan Xiao: Conceptualization, Writing—review & editing, Writing—original draft; Methodology, Writing—review & editing. Jinwang Liu: Formal analysis; Project administration, Supervision, Data curation.
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Xiao, D., Liu, J. Study on the impact of industrial intelligence and the digital economy on China’s regional total factor carbon productivity under carbon neutrality. Sci Rep (2026). https://doi.org/10.1038/s41598-026-45039-6
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DOI: https://doi.org/10.1038/s41598-026-45039-6