Descriptive statistics
The distributional characteristics of the study variables were examined before econometric estimation. Table 2 summarizes the descriptive statistics for the log-transformed variables across 21 OECD countries during 2000–2020. Renewable energy capacity (REC), ecological performance index (EPI), greenhouse gas (GHG) emissions, eco-friendly technology (EFT), and Green GDP exhibited substantial cross-country and temporal variation, with standard deviations exceeding one for all variables. REC ranged from −2.132 to 2.822, while Green GDP ranged from 11.990 to 14.411. Skewness coefficients indicated left-skewed distributions for REC, GHG emissions, and EPI, whereas EFT and Green GDP were positively skewed. Kurtosis values exceeded three for all variables, with REC displaying the highest kurtosis (7.66), indicating a leptokurtic distribution. The Jarque–Bera test rejected the null hypothesis of normality for REC, GHG emissions, EPI, and Green GDP (p < 0.01), whereas EFT did not significantly deviate from normality (p = 0.593). These findings support the use of quantile-based estimation methods that are robust to non-normal distributions.
Cross-sectional dependence and slope heterogeneity
Cross-sectional dependence and slope heterogeneity were assessed before estimating the panel models. As shown in Table 3, the Pesaran cross-sectional dependence statistics were significant for REC, Green GDP, EPI, GHG emissions, and EFT (all p < 0.01), rejecting the null hypothesis of cross-sectional independence. These results indicate that shocks occurring in one OECD country are transmitted across other countries, reflecting their economic integration and shared environmental policy frameworks. The Pesaran–Yamagata slope heterogeneity statistics (Δ̃ = 16.513; adjusted Δ̃ = 18.263) were also significant at the 1% level, rejecting slope homogeneity. Collectively, these findings justify the application of second-generation panel econometric techniques that account for cross-sectional dependence and heterogeneous slope coefficients.
Panel unit root analysis
The stationarity properties of the variables were evaluated using the Cross-sectionally Augmented Im–Pesaran–Shin (CIPS) panel unit root test. As presented in Table 4, REC, EPI, and EFT were stationary at level [I(0)], whereas GHG emissions and Green GDP became stationary after first differencing [I(1)]. The absence of second-order integrated variables [I(2)] supports the use of the Panel ARDL bounds testing approach to investigate long-run relationships among the variables.
Panel cointegration analysis
Long-run equilibrium relationships among renewable energy capacity, EPI, GHG emissions, EFT, and Green GDP were examined using the Panel ARDL bounds test. Table 5 shows that the calculated F-statistic (7.845) exceeded the upper critical bound at the 1% significance level, rejecting the null hypothesis of no long-run relationship. These findings confirm the existence of a stable long-run equilibrium among the variables and support subsequent estimation of long-run effects using quantile regression techniques.
Method of moments quantile regression
The heterogeneous effects of the explanatory variables across the conditional distribution of renewable energy capacity were estimated using the Method of moments quantile regression (MMQR). The results are presented in Table 6.
EPI exhibited a positive and statistically significant association with REC across all quantiles, with the estimated coefficient increasing from 0.092 at the 10th percentile to 0.212 at the 90th percentile, indicating a progressively stronger policy effect as renewable energy capacity increased. Similarly, GHG emissions displayed a positive association with REC, with coefficients increasing across the quantiles, suggesting that countries with higher renewable energy capacity responded more strongly to emission pressures. EFT demonstrated the largest positive increase across quantiles, indicating that technological innovation contributed more substantially to renewable energy deployment in countries with greater renewable energy capacity.
Green GDP showed a consistently negative association with REC across all quantiles, although the magnitude of the negative coefficient declined from −0.348 at the 10th percentile to −0.138 at the 90th percentile, indicating that the negative association weakened as renewable energy capacity increased. Overall, the MMQR results demonstrate substantial distributional heterogeneity in the effects of environmental policy performance, technological innovation, greenhouse gas emissions, and Green GDP on renewable energy capacity.
Figure 1 illustrates the heterogeneous effects of Environmental Performance Index (EPI), greenhouse Gas (GHG) emissions, eco-friendly technology (EFT), and green GDP on renewable energy capacity. EPI, GHG emissions, and EFT exhibit progressively stronger positive effects across higher quantiles, while the negative effect of Green GDP weakens as the conditional quantile increases (i.e., coefficients become less negative). Shaded areas (or error bars) represent the 95% confidence intervals.
Panel causality analysis
The direction of causal relationships among renewable energy capacity, Green GDP, EPI, GHG emissions, and EFT was evaluated using the Dumitrescu–Hurlin panel Granger non-causality test. The results are summarized in Table 7.
Bidirectional causality was identified between Green GDP and REC, as well as between EFT and REC (all p < 0.01), indicating mutually reinforcing relationships between renewable energy capacity, environmentally adjusted economic performance, and technological innovation. Similarly, EPI and REC exhibited bidirectional causality, suggesting reciprocal interactions between environmental policy performance and renewable energy deployment. In contrast, no significant causal relationship was detected from GHG emissions to REC (p = 0.1078), whereas REC significantly caused changes in GHG emissions (p = 0.009), indicating a unidirectional causal relationship from renewable energy capacity to greenhouse gas emissions. These findings demonstrate that environmental policy performance, technological innovation, and Green GDP interact dynamically with renewable energy capacity, whereas increases in renewable energy capacity contribute to reductions in greenhouse gas emissions (Table 7).
DATA AVAILABILITY:
The datasets used in this study are publicly available through the Zenodo repository and can be accessed at: https://zenodo.org/records/21138237.
| Factors | Explanation and Estimation | Sources | Anticipated Connection |
| REC | Renewable Energy Capacity | https://www.stats.oecd.org | --- |
| EPI | Ecological Performance Index | https://www.stats.oecd.org | Assured |
| GHG Emission | Green House Gas Emission | https://www.stats.oecd.org | Assured |
| EFT | Eco-Friendly Technology | https://www.stats.oecd.org | Assured |
| Green GDP | Green GDP estimated at fixed USD 2015 rates | World Bank | --- |
Table 1: Definitions, measurement descriptions, data sources, and expected relationships of the variables used in the empirical analysis. Renewable energy capacity (REC) was used as the dependent variable, whereas the Ecological Performance Index (EPI), greenhouse gas (GHG) emissions, eco-friendly technology (EFT), and Green GDP were included as explanatory variables. Data were obtained from the OECD Statistics database and the World Bank.
| REC | EFT | GHG Emission | EPI | Green GDP |
| Mean | 2.345622 | 1.865478 | 1.474084 | 1.379646 | 12.97532 |
| Median | 2.395156 | 1.875694 | 1.496867 | 1.439068 | 12.89835 |
| Max | 2.821983 | 2.521294 | 1.850147 | 1.7274 | 14.41057 |
| Min | −2.132388 | 1.520018 | −1.253283 | −1.791252 | 11.99038 |
| Standard Deviation | 1.462989 | 1.262367 | 1.272083 | 1.356078 | 1.636272 |
| Skewness | −2.445747 | 1.178735 | −1.927887 | −1.758335 | 1.681867 |
| Kurtosis | 7.657197 | 3.969682 | 4.961584 | 4.154255 | 3.84369 |
| Jarque-Bera | 644.6757*** | 2.256584 | 83.36192*** | 91.78071*** | 35.25837*** |
| Likelihood | 0 | 0.592564 | 0 | 0 | 0 |
Table 2: Summary statistics for the study variables across 21 OECD countries during 2000–2020. The table reports the mean, median, minimum, maximum, standard deviation, skewness, kurtosis, and Jarque–Bera test statistics for the log-transformed variables.
| Factors | Testing stats | P-value |
| Group A: CSD test |
| REC | 15.522 | 0 |
| Green GDP | 74.853 | 0 |
| EPI | 72.68 | 0 |
| GHG Emission | 22.543 | 0 |
| EFT | 47.896 | 0 |
| Group B: Slope heterogeneity |
| Frameworks | Delta_tilde | Modified Delta_tilde |
| 1 | 16.513*** | 18.263*** |
Table 3: Results of the Pesaran cross-sectional dependence (CD) test and the Pesaran–Yamagata slope heterogeneity test. Significant CD statistics indicate cross-sectional dependence among panel units, whereas significant Δ̃ and adjusted Δ̃ statistics indicate heterogeneous slope coefficients across countries.
| Variable | Level (Trends & Constants) | First Difference (Trends & Constants) | Integration Order |
| REC | −4.598*** | – | I(0) |
| Green GDP | −3.605 | −4.819*** | I(1) |
| EPI | −4.539*** | – | I(0) |
| GHG Emission | −3.167 | −6.396*** | I(1) |
| EFT | −4.858*** | – | I(0) |
Table 4: Results of the Cross-sectionally Augmented Im–Pesaran–Shin (CIPS) panel unit root test. Test statistics are reported for variables in levels and first differences, together with the corresponding order of integration used for subsequent panel econometric analyses.
| Test Statistic | Value | Significance Level | Lower Bound I(0) | Upper Bound I(1) |
| F‑statistic | 7.845*** | 1% | 3.74 | 5.16 |
| | 5% | 2.86 | 4.01 |
| | 10% | 2.45 | 3.52 |
Table 5: Results of the Panel Autoregressive Distributed Lag (ARDL) bounds test for cointegration. The table reports the calculated F-statistic together with the lower and upper critical bounds at the 1%, 5%, and 10% significance levels used to assess the existence of a long-run equilibrium relationship among the study variables.
| Variable | Q0.10 | Q0.25 | Q0.50 | Q0.75 | Q0.90 |
| EPI | 0.092*** | 0.114*** | 0.156*** | 0.189*** | 0.212*** |
| GHG Emission | 0.048* | 0.053** | 0.067*** | 0.071*** | 0.082*** |
| EFT | 0.131*** | 0.148*** | 0.173*** | 0.195*** | 0.221*** |
| Green GDP | –0.348*** | –0.271*** | –0.198*** | –0.156*** | –0.138*** |
| Constant | … | … | … | … | … |
Table 6: Method of Moments Quantile Regression (MMQR) estimates for renewable energy capacity across the 10th, 25th, 50th, 75th, and 90th conditional quantiles. The table reports estimated regression coefficients for the Ecological Performance Index (EPI), greenhouse gas (GHG) emissions, eco-friendly technology (EFT), and Green GDP. Asterisks indicate statistical significance (p < 0.05, *p < 0.01, **p < 0.001).
| Null Speculation | W-Stats | Zbar-Stats | Probability |
| Green GDP | REC | 5.80289 | 11.6887 | 0 |
| REC | Green GDP | 3.63175 | 5.77113 | 3.00E-07 |
| EFT | REC | 2.7311 | 5.75932 | 3.00E-07 |
| REC | EFT | 3.75362 | 5.55037 | 9.00E-07 |
| GHG Emission | REC | 3.12004 | 3.74446 | 0.1078 |
| REC | GHG Emission | 3.11546 | 3.72157 | 0.009 |
| EPI | REC | T.78323 | 12.2364 | 0 |
| REC | EPI | 4.6067 | 6.58633 | 0 |
Table 7: Results of the Dumitrescu–Hurlin panel Granger non-causality test. The table presents the W-statistic, Z̄-statistic, and associated probability values used to evaluate the direction of causal relationships between renewable energy capacity (REC) and the explanatory variables. Significant probability values indicate rejection of the null hypothesis of non-causality.