How Does New Quality Productive Forces Affect Green Total Factor Energy Efficiency in China? Consider the Threshold Effect of Artificial Intelligence
Abstract
1. Introduction
2. Theoretical Analyses and Hypotheses
2.1. The Effect of NQPF on GTFEE
2.2. The Spatial Relationship Between NQPF and GTFEE
2.3. The AI Effect of NQPF on GTFEE
3. Methods
3.1. Variable Definition
3.1.1. Explanatory Variable
3.1.2. Dependent Variable
3.1.3. Moderating Variable
3.1.4. Control Variables
3.2. Data Source
4. Results and Analysis
4.1. Benchmark Regression
4.1.1. Static Model Analysis
4.1.2. Dynamic Model Analysis
4.2. Spatial Effects
4.2.1. Spatial Correlation
4.2.2. Spatial Spillover Effect
4.3. Moderating Effect
4.4. Threshold Effect
4.5. Robustness Tests
- Adjusting sample. Extreme values in the dataset may distort research results. Therefore, all variables undergo a 1% truncation process, where values below the 1st percentile and exceeding the 99th percentile are replaced with the 1st and 99th percentile values, respectively. As in column (1) of Table 10, lnNQPF’s coefficient is positive at 5%, indicating that the regression estimates remain unaffected by the truncation adjustment, confirming the research conclusion is robust.
- Endogeneity test. To mitigate potential endogeneity issues, this study employs the first-order and second-order lagged terms of NQPF as instrumental variables and applies 2SLS method for estimation [35]. As in column (3) of Table 10, lnNQPF’s coefficient is positive at 1%, the same as the previous conclusions, further validating robustness.
- Replacing the spatial weight matrix. We replace the economic–geographical nested matrix with a geographical distance matrix for regression analysis. As indicated in (3) to (5) of Table 10, lnNQPF’s coefficient remains significantly positive across all three columns, confirming the research conclusion is robust.
5. Discussion
6. Conclusions and Recommendations
6.1. Research Conclusions
6.2. Policy Recommendations
- (1)
- The government should vigorously develop NQPF to assist in improving GTFEE. First, the government should strengthen policy support and guidance, formulate and implement strict industrial upgrading policies, eliminate high-energy-consuming and high-pollution traditional industries, and promote the concentration of resources in green and low-carbon NQPF industries. Additionally, policy measures such as financial incentives and tax reductions should be introduced to support enterprises in the R&D and application of green technologies and intelligent manufacturing. Second, the government should strengthen regional cooperation, implement regional coordination strategies, promote inter-provincial collaboration, develop green economic zones, and encourage resource sharing and green technology diffusion. Furthermore, the government should increase investment in related scientific research by providing government grants or interest-subsidized loans, encouraging enterprises to actively engage in R&D in NQPF-related fields. More funding should be allocated to the development of green energy technologies, new materials, and intelligent manufacturing technologies.
- (2)
- The government should fully utilize the spillover effects of NQPF to promote interregional sharing and mobility of green technologies and resource policies, thereby enhancing overall GTFEE. By establishing a regional collaborative innovation mechanism, the government can facilitate the flow of technology, resources, and policies across different regions. It should support interregional green technology cooperation projects, create shared platforms, and encourage developed regions to transfer successful NQPF experiences and technologies to less developed areas in central and western China, achieving coordinated regional growth. Additionally, the government should encourage enterprises to invest across regions, providing financial and policy support for green technology enterprises to expand into neighboring areas by setting up branches or engaging in cooperative projects. Furthermore, tax incentives should be granted to enterprises and projects that enhance GTFEE through technology spillovers, encouraging them to share technological achievements.
- (3)
- From a long-term developmental perspective, fully developed AI technology exerts a notable promotive impact on NQPF’s effect on GTFEE. Therefore, the government should promote AI development in phases. At the early AI stage, policies should prioritize the establishment of fundamental AI infrastructure, encourage enterprises to adopt AI technology, and mitigate the rise in energy consumption attributed to NQPF expansion. In the mid-AI development stage, the focus should be on supporting AI applications in industrial manufacturing and energy optimization, improving the level of intelligent manufacturing, so that AI’ s impact on the main effect shifts from negative to positive, truly transforming into a tool for improving energy efficiency. In the mature stage of AI technology, policies should promote AI empowerment for green and low-carbon transformation, build an AI + green energy system, and make AI a core driving force for long-term energy efficiency improvements, thereby maximizing its impact on the main effect. Since different provinces have varied economic development and technological innovation capabilities, the government should formulate targeted AI technology promotion strategies based on each province’s characteristics. In the economically developed eastern coastal provinces, where there is already a relatively mature foundation for AI technology R&D and application, these regions can take the lead in advancing the deep application of AI technology in energy management, particularly in industrial production, transportation, and building management, to achieve efficient energy utilization through intelligent technology. To ensure the widespread application of AI technology in enhancing NQPF and GTFEE, in the AI-lagging central and western regions, the government can attract AI enterprises and research institutions to these areas through financial subsidies and talent introduction policies.
6.3. Research Prospects
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Primary Level | Secondary Level | Tertiary Level | Explanation | Unit | Attribute |
---|---|---|---|---|---|
Technological Productivity | Innovation Productivity | Innovation Research | Number of domestic patent authorizations | Count | + |
Innovation Industry | Revenue from high-tech industry businesses | CNY 10,000 | + | ||
Innovation Products | Innovation experience of large-scale industrial enterprises | CNY 10,000 | + | ||
Technical Productivity | Technical Efficiency | Labor productivity of large-scale industrial enterprises | % | + | |
Technical R&D | Full-time R&D personnel in large-scale industrial enterprises | h | + | ||
Technical Production | Density of initial installation of industrial robots | % | + | ||
Green Productivity | Resource-Efficient Productivity | Energy Intensity | Energy consumption per unit of domestic production value | % | − |
Energy Structure | Consumption of chemical energy per unit of domestic production value | % | − | ||
Water Intensity | Industrial water consumption per unit of domestic production value | % | − | ||
Environmentally Friendly Productivity | Waste Recycling | Ratio of industrial solid waste recycling to total production volume | % | + | |
Wastewater Discharge | Industrial wastewater discharge per unit of domestic production value | % | − | ||
Air Emissions | Industrial SO2 emissions per unit of domestic production value | % | − | ||
Digital Productivity | Digital Industrial Productivity | Electronic Information Manufacturing | Integrated circuit output | 10,000 | + |
Telecommunication Services | Total telecom business volume | CNY 10,000 | + | ||
Network Coverage | Number of broadband internet access terminals | Count | + | ||
Industrial Digital Productivity | Software Services | Number of software business employees | People | + | |
Digital Information | Optical cable length per unit area | m | + | ||
E-commerce | E-commerce sales amount | CNY 10,000 | + |
Indicator | Variable | Variable Description |
---|---|---|
Input Indicators | Capital Investment | Fixed capital stock |
R&D internal expenditure (CNY 10,000) | ||
Labor Investment | Number of employed persons | |
Energy Investment | Total energy consumption (10,000 tons of standard coal) | |
Expected Output | Regional Gross Production | Regional gross production value (CNY billion) |
Undesirable Output | Industrial Wastewater | Total wastewater discharge (10,000 tons) |
Industrial Sulfur Dioxide | SO2 emissions in exhaust gas (10,000 tons) | |
Industrial Solid Waste | Total generation of general industrial solid waste (10,000 tons) | |
Environmental Pollution | Comprehensive environmental pollution index (Entropy Method) |
Primary Indicator | Secondary Indicator | Measurement Method |
---|---|---|
Intelligent Investment | Internet Infrastructure Investment | Optical cable length per unit area |
Intelligent Economic Investment | R&D expenditure in high-tech manufacturing | |
Intelligent Talent Investment | R&D personnel in high-tech manufacturing | |
Intelligent Equipment Investment | Fixed asset investment in telecommunications, software, and information technology services | |
Intelligent Applications | Software Development and Application | Revenue from software products per capita in industrial enterprises |
Intelligent Product Development | Revenue from embedded systems per capita in industrial enterprises | |
Development of Intelligent Enterprises | Revenue from high-tech enterprise owners per capita in industrial enterprises | |
Adoption of Intelligent Technologies | Revenue from new products in high-tech industries per capita in industrial enterprises | |
R&D Output | Innovation Capability | Number of patent applications/R&D personnel |
AI Market Value-Added | Total profits of high-tech manufacturing | |
AI Market Profit | AI market value-added/Total employment in high-tech manufacturing | |
AI Market Scale | GDP per unit of energy consumption (coal, electricity) | |
Social Benefits | Number of patent applications/R&D personnel |
Category | Variable | Explanation | Mean | SD | Min | Max |
---|---|---|---|---|---|---|
Dependent Variable | GTFEE | Green Total Factor Energy Efficiency | 0.855 | 0.274 | 0.101 | 1.295 |
Independent Variable | NQPF | New Quality Productive Forces | 0.122 | 0.120 | 0.014 | 0.767 |
Moderating Variable | AI | Artificial Intelligence Level | 11.208 | 10.493 | 0.337 | 61.846 |
Control Variables | EDL | Economic Development Level | 61,536.09 | 30,331.66 | 16413 | 190,313 |
LFL | Labor Force Level | 7.591 | 0.787 | 5.545 | 8.864 | |
RDI | R&D Intensity | 0.018 | 0.012 | 0.004 | 0.068 | |
FBE | General Fiscal Budget Expenditure | 5457.913 | 3125.171 | 705.910 | 18,533.080 | |
IS | Industrial Structure | 1.272 | 0.719 | 0.554 | 5.297 |
(1) lnGTFEE | (2) lnGTFEE | (3) lnGTFEE | |
---|---|---|---|
lnNQPF | 0.196 *** (4.90) | 0.238 ** (2.51) | 0.587 ** (2.12) |
L.lnGTFEE | 0.266 *** (2.97) | ||
lnEDL | −0.163 (−1.15) | 0.155 (1.57) | |
lnFBE | 0.229 (1.7) | 0.138 (1.47) | |
lnLFL | −4.893 *** (−3.34) | −0.640 ** (−2.17) | |
lnRDI | −0.170 (−1.56) | 0.557 ** (2.10) | |
lnIS | −0.108 * (−1.85) | −0.052 (−1.44) | |
Constant | 1.336 *** (13.60) | 10.483 *** (3.36) | 5.621 ** (2.50) |
Year | Yes | Yes | Yes |
City | Yes | Yes | Yes |
R2 | 0.4887 | 0.345 | 0.503 |
(1) lnGTFEE | (2) Spatial lag lnGTFEE | (3) Direct lnGTFEE | (4) Indirect lnGTFEE | (5) Total lnGTFEE | |
---|---|---|---|---|---|
lnNQPF | 0.362 *** (4.75) | 1.106 *** (4.16) | 0.333 *** (4.33) | 0.912 *** (3.89) | 1.246 *** (5.22) |
lnEDL | −0.051 (−0.64) | −0.140 (−0.69) | −0.056 (−0.78) | −0.144 (-0.81) | −0.200 (−1.23) |
lnFBE | 0.025 (0.23) | 0.185 (0.78) | 0.031 (0.28) | 0.153 (0.79) | 0.185 (1.00) |
lnLFL | −6.334 *** (−6.51) | −3.388 (−1.34) | −6.211 *** (−5.78) | −1.844 (−0.82) | −8.056 *** (−3.32) |
lnRDI | −0.033 (−0.49) | 0.180 (0.99) | −0.052 (−0.68) | 0.170 (0.97) | 0.118 (0.60) |
lnIS | −0.069 (−0.97) | 0.284 (1.23) | −0.076 (−1.20) | 0.245 (1.12) | 0.169 (0.70) |
City | Yes | ||||
R2 | 0.2961 |
Variables | lnGTFEE | Variables | lnGTFEE |
---|---|---|---|
lnNQPF | 0.267 ** (2.66) | lnRDI | −0.169 (−1.68) |
lnAI | −0.011 * (−1.75) | lnIS | −0.096 (−1.57) |
lnAI × lnNQPF-c | 0.035 * (1.71) | Constant | 9.934 *** (3.48) |
lnEDL | −0.105 (−0.74) | Year | Yes |
lnFBE | 0.279 * (1.97) | City | Yes |
lnLFL | −5.058 *** (−3.17) | R2 | 0.3647 |
Models | Threshold Value | F Test | p-Value | 10% | 5% | 1% |
---|---|---|---|---|---|---|
Single threshold | 0.5352 | 38.36 | 0.00 | 13.273 | 14.435 | 18.315 |
Double threshold | 3.8851 | 19.29 | 0.00 | 11.584 | 12.778 | 15.347 |
Variables | (1) lnGTFEE | (2) lnGTFEE |
---|---|---|
lnNQPF (lnAI ≤ 0.5352) | −0.213 *** (−4.89) | 0.238 ** (2.51) |
lnNQPF (0.5352 < lnAI ≤ 3.8851) | 0.029 * (1.81) | |
lnNQPF (lnAI > 3.8851) | 1.209 *** (3.87) | |
lnEDL | 0.554 *** (10.65) | −0.163 (−1.15) |
lnFBE | 0.450 *** (7.50) | 0.229 (1.7) |
lnLFL | −0.119 (−0.17) | −4.893 *** (−3.34) |
lnRDI | 0.312 *** (6.77) | −0.170 (−1.56) |
lnIS | 0.345 *** (8.97) | −0.108 * (−1.85) |
Constant | −10.800 *** (−7.86) | 10.483 *** (3.36) |
Year | Yes | Yes |
City | Yes | Yes |
R2 | 0.947 | 0.345 |
Variables | Adjusting Sample | Endogenous Test | Replace Spatial Weight Matrix | ||
---|---|---|---|---|---|
(1) lnGTFEE | (2) 2SLS lnGTFEE | (3) Direct lnGTFEE | (4) Indirect lnGTFEE | (5) Total lnGTFEE | |
lnNQPF | 0.220 ** (2.32) | 0.216 ** (2.46) | 0.355 *** (4.40) | 1.988 *** (4.46) | 2.343 *** (5.16) |
Controls | Yes | Yes | Yes | Yes | Yes |
Year | Yes | Yes | Yes | ||
City | Yes | Yes | Yes | ||
R2 | 0.296 | 0.284 |
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Yuan, B.; Gu, R.; Wang, P.; Hu, Y. How Does New Quality Productive Forces Affect Green Total Factor Energy Efficiency in China? Consider the Threshold Effect of Artificial Intelligence. Sustainability 2025, 17, 7012. https://doi.org/10.3390/su17157012
Yuan B, Gu R, Wang P, Hu Y. How Does New Quality Productive Forces Affect Green Total Factor Energy Efficiency in China? Consider the Threshold Effect of Artificial Intelligence. Sustainability. 2025; 17(15):7012. https://doi.org/10.3390/su17157012
Chicago/Turabian StyleYuan, Boyu, Runde Gu, Peng Wang, and Yuwei Hu. 2025. "How Does New Quality Productive Forces Affect Green Total Factor Energy Efficiency in China? Consider the Threshold Effect of Artificial Intelligence" Sustainability 17, no. 15: 7012. https://doi.org/10.3390/su17157012
APA StyleYuan, B., Gu, R., Wang, P., & Hu, Y. (2025). How Does New Quality Productive Forces Affect Green Total Factor Energy Efficiency in China? Consider the Threshold Effect of Artificial Intelligence. Sustainability, 17(15), 7012. https://doi.org/10.3390/su17157012