Climate Risk Perception and Firms’ Energy Productivity: Evidence from China
Abstract
1. Introduction
2. Hypothesis Development
2.1. Climate Risk Perception and Energy Productivity
2.2. Moderator: Analyst Coverage
2.3. Moderator: Financing Constraints
2.4. Mediator: Digital Transformation
3. Variable Description and Methodology
3.1. Data Sources
3.2. Variable Definitions
3.2.1. Dependent Variable: EE
3.2.2. Independent Variable: Climate Risk Perception (CRP)
3.2.3. Moderating Variables
3.2.4. Mediating Variable: DT
3.2.5. Control Variables
3.3. Model Specification
3.3.1. Baseline Specification
3.3.2. Moderation Tests
3.3.3. Mediation Test
3.3.4. Dynamic Specifications and Identification
4. Results
4.1. Descriptive Statistics
4.2. Correlation Analysis
4.3. Baseline Regressions
4.4. Robustness Checks
4.4.1. Alternative Indicators
4.4.2. Endogeneity Tests
5. Heterogeneity Analysis
6. Mediation Analysis
7. Conclusions and Implications
7.1. Discussion
7.2. Conclusions
7.3. Limitations and Future Research
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Seed Words and Expanded Terms in the Chinese CRP Dictionary
Dictionary Construction
| Seed Words | Words Included in the CRP Dictionary | |
|---|---|---|
| General | renewable energy, new energy, clean energy, greenhouse gases, solar energy, climate change, global warming, extreme weather, carbon emissions, sustainable development | photovoltaic power generation, solar power, wind power, energy storage, photovoltaics, new energy generation, electricity, power generation, nuclear power, biomass, coal power, hydrogen energy, electric vehicles, new energy vehicles, lithium batteries, batteries, carbon neutrality, carbon peaking, dual carbon, low carbon, CO2, emission reduction, energy conservation and environmental protection, energy saving and emission reduction, green and low carbon, air quality, air pollution, PM2.5, environmental pollution, pollution sources, energy structure, energy consumption, energy use, water resources, climate change, natural disasters, extreme weather, energy crisis |
| Opportunities | wind power, wind energy, hydropower, electric vehicles, battery power, new energy, solar energy, charging facilities, motors, environmental protection, sustainable energy, energy saving, green innovation, low carbon, environmental information disclosure | grid connection, installed capacity, power distribution, transmission, power station, power plant, hydropower station, distributed energy, smart grid, thermal power, cogeneration, coal chemical industry, wind turbines, blades, wind power projects, solar thermal, fuel cells, charging piles, battery swapping, charging and swapping stations, charging infrastructure, water resources, oil and gas, steel, power generation, carbon reduction, high-efficiency energy saving, environmental protection policies, environmental governance, compliance with environmental standards, circular economy, industrialization, energy-saving technology, cleaner production, energy-saving retrofitting, green manufacturing, ecological priority |
| Regulatory | carbon neutrality, carbon tax, environmental regulation, emission standards, environmental standards, environmental footprint, environmental reform, environmental concerns, environmental legislation, environmental impact assessment, carbon pricing, carbon market | clean energy, renewable energy, new energy, low carbon, green and low carbon, carbon peaking, zero carbon, dual carbon, carbon emissions, emission reduction, green development, low-carbon transition, green transition, ecological civilization, environmental protection requirements, environmental facilities, environmental management, pollutants, air pollutants, nitrogen oxides, sulfur dioxide, particulates, carbon quotas, electricity marketization, spot electricity market |
Appendix B. Energy Conversion to Standard Coal Equivalent and EE Construction
Appendix B.1. Governing Accounting Standard and Conversion
Appendix B.2. Energy Productivity Measure
| Energy Type | Conversion Coefficient | Unit | Equivalent in Tce |
|---|---|---|---|
| Raw coal | 0.7143 | kgce/kg | 0.7143 tce/ton |
| Washed coal (cleaned coal) | 0.9 | kgce/kg | 0.9000 tce/ton |
| Coke | 0.9714 | kgce/kg | 0.9714 tce/ton |
| Crude oil | 1.4286 | kgce/kg | 1.4286 tce/ton |
| Fuel oil | 1.4286 | kgce/kg | 1.4286 tce/ton |
| Gasoline | 1.4714 | kgce/kg | 1.4714 tce/ton |
| Diesel | 1.4571 | kgce/kg | 1.4571 tce/ton |
| Natural gas (oilfield) | 1.33 | kgce/m3 | 0.00133 tce/m3 |
| Natural gas (gasfield) | 1.2143 | kgce/m3 | 0.0012143 tce/m3 |
| Electricity (equivalent value) | 0.1229 | kgce/(kW·h) | 0.1229 tce/MWh |
| Heat/thermal energy (equivalent value) | 0.03412 | kgce/MJ | 0.03412 tce/GJ |
Appendix C. Digital Transformation Dictionary and Index Construction
Definition
| Dimension | Representative Keywords |
|---|---|
| Artificial intelligence | artificial intelligence; intelligent; machine learning; deep learning; pattern recognition; expert system; neural network |
| Blockchain | blockchain; distributed ledger; consensus mechanism; smart contract |
| Cloud computing | cloud computing; cloud platform; cloud service; cloud storage; cloud technology |
| Big data | big data; data mining; data warehouse; data center; data analysis |
| Digital-technology applications | intelligent manufacturing; internet of things; industrial internet; electronic commerce; mobile payment; digital marketing; smart logistics; smart grid; smart environmental protection |
Appendix D. Instrumental Variable: Extreme Weather Exposure Excluding Own Province
Appendix D.1. Province-Year Extreme Weather Exposure
Appendix D.2. Leave-One-Out Instrument Excluding Own Province
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| Variable Type | Variable | Symbol | Definition/Measurement |
|---|---|---|---|
| Dependent variable | Energy productivity | EE | Natural logarithm of the ratio of operating revenue to total energy consumption in tons of standard coal equivalent (tce): is constructed by converting firm-disclosed physical consumption of coal, oil products, natural gas, and electricity into tce using China’s standard coal equivalent conversion coefficients and then summing across energy types. |
| Independent variable | Climate risk perception | CRP | Text-based climate risk perception index constructed from MD&A disclosures using a Word2Vec-expanded climate-risk lexicon and TF–IDF weighting; the resulting index is standardized by year (yearly z-score). |
| Moderating variable | Analyst report attention | AnaRep | , where reports are issued by analysts covering the focal firm; data from CSMAR. |
| Financing constraints | WW | Whited–Wu (WW) financial constraints index. | |
| Mediating variable | Digital transformation | DT | where the five dimensions cover artificial intelligence, blockchain, cloud computing, big data, and digital-technology applications (keyword frequencies summed across dimensions). |
| Control variable | Revenue growth | Growth | . |
| Board size | Boardsize | Number of directors on the board (CSMAR). | |
| Independent director ratio | Indep | Percentage of independent directors on the board (0–100), from CSMAR. | |
| Return on assets | ROA | Current-period return on assets: net income divided by total assets. | |
| Leverage | Lev | Total liabilities divided by total assets. |
| N | Mean | SD | Min | P50 | Max | |
|---|---|---|---|---|---|---|
| EE | 10,226 | 0.568 | 0.609 | 0.014 | 0.347 | 3.017 |
| CRP | 11,796 | 0.008 | 1.07 | −0.536 | −0.42 | 5.278 |
| AnaRep | 11,796 | 2.34 | 1.53 | 0 | 2.565 | 5.677 |
| WW | 11,796 | −0.986 | 0.287 | −1.259 | −1.059 | 0 |
| DT | 11,796 | 1.579 | 1.407 | 0 | 1.386 | 6.306 |
| Growth | 11,796 | 0.148 | 0.347 | −0.492 | 0.093 | 2.054 |
| Board size | 11,796 | 8.967 | 1.857 | 3 | 9 | 18 |
| Ind. director ratio | 11,796 | 37.642 | 5.849 | 16.67 | 36.36 | 80 |
| ROA | 11,796 | 0.048 | 0.072 | −0.645 | 0.04 | 0.969 |
| Leverage | 11,796 | 0.474 | 0.2 | 0.008 | 0.486 | 0.997 |
| EE | CRP | AnaRep | WW | DT | Growth | Board Size | Ind. Director Ratio | ROA | Leverage | |
|---|---|---|---|---|---|---|---|---|---|---|
| EE | 1 | |||||||||
| CRP | 0.112 *** | 1 | ||||||||
| AnaRep | 0.326 *** | −0.056 *** | 1 | |||||||
| WW | −0.140 *** | −0.039 *** | −0.039 *** | 1 | ||||||
| DT | 0.050 *** | −0.120 *** | 0.134 *** | 0.009 | 1 | |||||
| Growth | 0.044 *** | 0.025 ** | 0.156 *** | −0.103 *** | 0.044 *** | 1 | ||||
| Board size | 0.147 *** | 0.101 *** | 0.066 *** | −0.061 *** | −0.092 *** | −0.029 *** | 1 | |||
| Ind. director ratio | 0.107 *** | −0.060 *** | 0.034 *** | −0.005 | 0.054 *** | −0.006 | −0.399 *** | 1 | ||
| ROA | 0.007 | −0.059 *** | 0.410 *** | 0.014 | 0.031 *** | 0.267 *** | −0.009 | 0.002 | 1 | |
| Leverage | 0.408 *** | 0.170 *** | −0.088 *** | −0.126 *** | −0.066 *** | 0.009 | 0.099 *** | 0.029 *** | −0.399 *** | 1 |
| (1) | (2) | (3) | |
|---|---|---|---|
| Variables | EE | EE | EE |
| CRP | 0.025 *** | 0.023 *** | 0.031 *** |
| (0.008) | (0.008) | (0.011) | |
| CRP × AnaRep | 0.005 ** | ||
| (0.002) | |||
| AnaRep | 0.044 *** | ||
| (0.004) | |||
| CRP×WW | −0.129 *** | ||
| (0.037) | |||
| WW | −0.093 *** | ||
| (0.015) | |||
| Board size | 0.020 *** | 0.019 *** | 0.020 *** |
| (0.005) | (0.005) | (0.005) | |
| Growth | 0.064 *** | 0.057 *** | 0.059 *** |
| (0.007) | (0.007) | (0.007) | |
| Ind. director ratio | 0.002 * | 0.002 * | 0.002 * |
| (0.001) | (0.001) | (0.001) | |
| ROA | 0.663 *** | 0.466 *** | 0.637 *** |
| (0.062) | (0.055) | (0.062) | |
| Leverage | 0.398 *** | 0.385 *** | 0.379 *** |
| (0.048) | (0.044) | (0.047) | |
| Firm FE | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes |
| Observations | 10,226 | 10,226 | 10,226 |
| Adjusted R2 | 0.929 | 0.922 | 0.930 |
| Robust standard errors are in parentheses Standard errors clustered at the firm level are in parentheses. |
| Alternative CRP | Alternative Dependent Variable | |||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Variables | EE | EE | EE | EI |
| CRPO | 3.637 ** | 3.052 ** | 2.41 | |
| (1.558) | (1.531) | (1.523) | ||
| CRP | −0.099 ** | |||
| (0.036) | ||||
| CRPO × AnaRep | 0.968 ** | |||
| (0.424) | ||||
| AnaRep | 0.044 *** | |||
| (0.004) | ||||
| CRPO × WW | −17.261 *** | |||
| (5.135) | ||||
| WW | −0.088 *** | |||
| (0.014) | ||||
| Board size | 0.020 *** | 0.019 *** | 0.020 *** | −0.051 *** |
| (0.005) | (0.005) | (0.005) | (0.011) | |
| Growth | 0.064 *** | 0.057 *** | 0.020 *** | −0.226 *** |
| (0.007) | (0.007) | (0.005) | (0.026) | |
| Ind. director ratio | 0.002 * | 0.002 * | 0.002 * | −0.005 * |
| (0.001) | (0.001) | (0.001) | (0.002) | |
| ROA | 0.667 *** | 0.469 *** | 0.647 *** | −2.032 *** |
| (0.062) | (0.054) | (0.062) | (0.224) | |
| Leverage | 0.399 *** | 0.386 *** | 0.379 *** | −1.524 *** |
| (0.048) | (0.044) | (0.047) | (0.160) | |
| Firm FE | Yes | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes | Yes |
| Observations | 10,226 | 10,226 | 10,226 | 10,226 |
| Adjusted R2 | 0.928 | 0.932 | 0.929 | 0.920 |
| Robust standard errors are in parentheses Standard errors clustered at the firm level are in parentheses. EI denotes energy intensity, defined as energy consumption per unit of operating revenue, which is the inverse measure of energy productivity. |
| Reverse Causality | 2SLS | |||
|---|---|---|---|---|
| Variables | EE | First Stage: CRP | Second Stage: EE | |
| 0.032 *** | ||||
| (0.011) | ||||
| CRP | 0.029 *** | |||
| (0.010) | ||||
| EWnat | 0.180 *** | |||
| (0.039) | ||||
| 0.089 * | ||||
| (0.048) | ||||
| Boardsize | 0.017 *** | 0.013 *** | 0.025 *** | 0.018 *** |
| (0.004) | (0.004) | (0.004) | (0.005) | |
| Growth | 0.072 *** | 0.068 *** | 0.074 *** | 0.065 *** |
| (0.009) | (0.008) | (0.022) | (0.007) | |
| IndDirectorRatio | 0.002 * | 0.002 | −0.006 *** | 0.002 * |
| (0.001) | (0.001) | (0.001) | (0.001) | |
| ROA | 0.654 *** | 0.600 *** | 0.353 *** | 0.680 *** |
| (0.064) | (0.057) | (0.107) | (0.062) | |
| Lev | 0.359 *** | 0.367 *** | 0.740 *** | 0.382 *** |
| (0.052) | (0.047) | (0.040) | (0.048) | |
| Firm FE | Yes | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes | Yes |
| Observations | 8615 | 8615 | 10,226 | 10,226 |
| Adjusted R2 | 0.943 | 0.942 | 0.075 | 0.074 |
| Kleibergen–Paap rk Wald F | 18.06 | |||
| Robust standard errors are in parentheses Standard errors clustered at the firm level are in parentheses. | ||||
| (1) | (2) | (3) | (4) | (5) | (6) | |
|---|---|---|---|---|---|---|
| SOE | NSOE | HP | NHP | High-Tech | Non-High-Tech | |
| CRP | 0.044 ** | 0.039 *** | 0.063 *** | 0.012 | 0.051 *** | 0.019 |
| (0.017) | (0.015) | (0.017) | (0.014) | (0.014) | (0.017) | |
| Boardsize | 0.016 *** | 0.021 *** | 0.011 | 0.025 *** | 0.014 *** | 0.023 *** |
| (0.006) | (0.006) | (0.007) | (0.006) | (0.005) | (0.007) | |
| Growth | 0.088 *** | 0.039 *** | 0.093 *** | 0.057 *** | 0.064 *** | 0.069 *** |
| (0.010) | (0.008) | (0.019) | (0.007) | (0.009) | (0.011) | |
| IndDirectorRatio | 0.001 | 0.004 *** | 0.003 | 0.002 * | 0.001 | 0.002 * |
| (0.001) | (0.001) | (0.002) | (0.001) | (0.001) | (0.001) | |
| ROA | 0.900 *** | 0.513 *** | 0.593 *** | 0.600 *** | 0.615 *** | 0.637 *** |
| (0.107) | (0.064) | (0.104) | (0.065) | (0.064) | (0.096) | |
| Lev | 0.401 *** | 0.348 *** | 0.381 *** | 0.410 *** | 0.389 *** | 0.303 *** |
| (0.072) | (0.048) | (0.115) | (0.052) | (0.052) | (0.067) | |
| Firm FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 5448 | 4636 | 2773 | 7435 | 5205 | 5000 |
| Adjusted R2 | 0.942 | 0.908 | 0.939 | 0.93 | 0.929 | 0.937 |
| Standard errors are in parentheses | ||||||
| Standard errors clustered at the firm level are in parentheses. | ||||||
| Dependent Variable | DT | EE | EE |
|---|---|---|---|
| Mediating Effect | |||
| Variables | (1) | (2) | (3) |
| CRP | 0.109 *** | 0.038 *** | |
| (0.031) | (0.010) | ||
| DT | 0.030 *** | 0.029 *** | |
| (0.005) | (0.005) | ||
| Board size | 0.030 ** | 0.019 *** | 0.019 *** |
| (0.011) | (0.005) | (0.005) | |
| Growth | 0.009 | 0.064 *** | 0.063 *** |
| (0.023) | (0.007) | (0.007) | |
| Ind. director ratio | −0.003 | 0.002 | 0.002 * |
| (0.002) | (0.001) | (0.001) | |
| ROA | 0.333 | 0.664 *** | 0.648 *** |
| (0.217) | (0.081) | (0.078) | |
| Leverage | 0.111 | 0.398 *** | 0.396 *** |
| (0.129) | (0.051) | (0.051) | |
| Firm FE | |||
| Year FE | |||
| Observations | 10,226 | 10,226 | 10,226 |
| Adjusted R2 | 0.797 | 0.929 | 0.930 |
| Standard errors are in parentheses | |||
| Standard errors clustered at the firm level are in parentheses. | |||
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Wang, J.; Nie, C.; Jin, S. Climate Risk Perception and Firms’ Energy Productivity: Evidence from China. Systems 2026, 14, 238. https://doi.org/10.3390/systems14030238
Wang J, Nie C, Jin S. Climate Risk Perception and Firms’ Energy Productivity: Evidence from China. Systems. 2026; 14(3):238. https://doi.org/10.3390/systems14030238
Chicago/Turabian StyleWang, Jue, Cong Nie, and Shanyue Jin. 2026. "Climate Risk Perception and Firms’ Energy Productivity: Evidence from China" Systems 14, no. 3: 238. https://doi.org/10.3390/systems14030238
APA StyleWang, J., Nie, C., & Jin, S. (2026). Climate Risk Perception and Firms’ Energy Productivity: Evidence from China. Systems, 14(3), 238. https://doi.org/10.3390/systems14030238

