Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

Scientific Reports
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. scientific reports
  3. articles
  4. article
Study on the impact of industrial intelligence and the digital economy on China’s regional total factor carbon productivity under carbon neutrality
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 20 March 2026

Study on the impact of industrial intelligence and the digital economy on China’s regional total factor carbon productivity under carbon neutrality

  • Dandan Xiao1 &
  • Jinwang Liu2 

Scientific Reports , Article number:  (2026) Cite this article

  • 661 Accesses

  • Metrics details

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Environmental social sciences
  • Geography

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

  1. Dai, S. Z. Understanding Automation’s Impact on Ecological Footprint: Theory and Empirical Evidence from Europe. Environ. Resour. Econ. 88 (2), 503–532 (2025).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. 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).

    Google Scholar 

  5. 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).

  6. 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).

    Google Scholar 

  7. 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).

    Google Scholar 

  8. 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).

    Google Scholar 

  9. 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).

    Google Scholar 

  10. 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).

    Google Scholar 

  11. 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).

  12. Kaya, Y. & Yokobori, K. Environment, Energy, and Economy: Strategies for Sustainability (United Nations University, 1997).

  13. Färe, R., Grosskopf, S. & Pasurka, C. A. Environmental production functions and environmental directional distance functions. Energy 32 (7), 1055–1066 (2007).

    Google Scholar 

  14. Oh, D. H. A global Malmquist-Luenberger productivity index. J. Prod. Anal. 34 (3), 183–197 (2010).

    Google Scholar 

  15. Acemoglu, D., Aghion, P., Bursztyn, L. & Hemous, D. The Environment and Directed Technical Change. Am. Econ. Rev. 102 (1), 131–166 (2012).

    Google Scholar 

  16. 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).

    Google Scholar 

  17. Porter, M. E. & van der Linde, C. Toward a New Conception of the Environment-Competitiveness Relationship. J. Economic Perspect. 9 (4), 97–118 (1995).

    Google Scholar 

  18. 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).

    Google Scholar 

  19. Saunders, H. D. The Khazzoom-Brookes Postulate and Neoclassical Growth. Energy J. 13 (4), 131–148 (1992).

    Google Scholar 

  20. 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).

  21. He, D. A. Digital Economy and Green Economic Development: Theoretical Interpretation and Practical Pathways. Acad. Monthly. 53 (8), 49–59 (2021).

    Google Scholar 

  22. 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).

    Google Scholar 

  23. Ning, C. S. Digital economy and manufacturing high-quality development: coupling mechanism and empirical test. Economist 3, 102–111. (2022).

  24. Tone, K. A slacks-based measure of super-efficiency in data envelopment analysis. Eur. J. Opera- tional Res. 143 (1), 32–41 (2022).

    Google Scholar 

  25. 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).

  26. Shan, H. J. Re-estimation of China’s Capital Stock. Res. Quant. Econ. Tech. Econ. 25 (10), 1952–2006 (2008).

    Google Scholar 

  27. 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).

  28. 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).

    Google Scholar 

  29. 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).

    Google Scholar 

  30. 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).

    Google Scholar 

  31. 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).

    Google Scholar 

  32. Yang, C. L. & Tong, J. Y. Industrial Intelligence and Global Carbon Emissions Reduction. Economic Latitude Longitude. 41 (1), 110–119 (2024).

    Google Scholar 

  33. 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).

    Google Scholar 

  34. 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).

    Google Scholar 

  35. 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).

    Google Scholar 

  36. 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).

    Google Scholar 

  37. 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).

    Google Scholar 

  38. 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).

    Google Scholar 

  39. 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).

    Google Scholar 

  40. 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).

    Google Scholar 

  41. 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).

    Google Scholar 

  42. 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).

    Google Scholar 

  43. 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).

    Google Scholar 

  44. Lu, L. L. Industrial Intelligence, Digital Transformation, and Carbon Reduction Performance of Energy-Intensive Enterprises. Oper. Res. Fuzzyology. 14 (03), 577–586 (2024).

    Google Scholar 

  45. 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).

    Google Scholar 

Download references

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)”.

Author information

Authors and Affiliations

  1. Business School, Shandong University of Political Science and Law, Jinan, 250014, Shandong, China

    Dandan Xiao

  2. Shandong Provincial Institute of Industry and Information Technology, Jinan, 250014, Shandong, China

    Jinwang Liu

Authors
  1. Dandan Xiao
    View author publications

    Search author on:PubMed Google Scholar

  2. Jinwang Liu
    View author publications

    Search author on:PubMed Google Scholar

Contributions

Dandan Xiao: Conceptualization, Writing—review & editing, Writing—original draft; Methodology, Writing—review & editing. Jinwang Liu: Formal analysis; Project administration, Supervision, Data curation.

Corresponding author

Correspondence to Jinwang Liu.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received: 06 December 2025

  • Accepted: 16 March 2026

  • Published: 20 March 2026

  • DOI: https://doi.org/10.1038/s41598-026-45039-6

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Total factor carbon productivity
  • Global climate change
  • Green development
  • Digital economy
  • Industrial intelligence
Download PDF

Advertisement

Explore content

  • Research articles
  • News & Comment
  • Collections
  • Subjects
  • Follow us on Facebook
  • Follow us on X
  • Sign up for alerts
  • RSS feed

About the journal

  • About Scientific Reports
  • Contact
  • Journal policies
  • Guide to referees
  • Calls for Papers
  • Editor's Choice
  • Journal highlights
  • Open Access Fees and Funding

Publish with us

  • For authors
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

Scientific Reports (Sci Rep)

ISSN 2045-2322 (online)

nature.com footer links

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing Anthropocene

Sign up for the Nature Briefing: Anthropocene newsletter — what matters in anthropocene research, free to your inbox weekly.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing: Anthropocene