Long-Run Relationships Between Economic Growth, Urbanization, Renewable Energy, and CO2 Emissions in Greece
Abstract
1. Introduction
2. Literature Review: Economic Indicators, Urbanization, and RES
3. Data and Methodology
3.1. Data Description
3.2. Methodology Description
4. Results
| Augmented Dickey–Fuller-ADF Indicators | ||||||
|---|---|---|---|---|---|---|
| Levels | First Differences | |||||
| Variables | No Constant | With Constant | With Constant and Trend | No Constant | With Constant | With Constant and Trend |
| CO2 | −0.01 (1) | −1.745 (1) | 1.20 (0) | −4.50 (0) *** | −4.52 (0) *** | −5.72 (0) *** |
| GDP | −0.54 (2) | −1.35 (1) | −1.52 (2) | −9.76 (1) *** | −9.70 (1) *** | −9.62 (1) *** |
| RES | 2.41 (0) | 1.49 (0) | −0.17 (0) | −7.61 (0) *** | −7.90 (0) *** | −8.99 (0) *** |
| URBAN | 1.94 (2) | 0.03 (2) | −3.34 (1) * | −2.19 (1) ** | −2.81 (1) ** | −2.29 (1) |
5. Discussion
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Variable Name | Measuring Unit | Data Source | Weblink |
|---|---|---|---|
| CO2 emissions | Metric tons (total annual territorial CO2 emissions) | Our World in Data | https://archive.ourworldindata.org/20251204-133459/grapher/annual-co2-emissions-per-country.html accessed on 7 January 2026 |
| GDP | Constant 2015 US dollars (total GDP) | Our World in Data (World Bank) | https://archive.ourworldindata.org/20251220-152415/grapher/gdp-worldbank-constant-usd.html accessed on 8 January 2026 |
| Urbanization | Urban population (% of total population) | World Bank | https://data.worldbank.org/indicator/SP.URB.TOTL.IN.ZS?locations=GR accessed on 5 January 2026 |
| Renewable Energy | Renewable energy consumption (% of total final energy consumption) | Our World in Data | https://ourworldindata.org/profile/energy/greece accessed on 10 January 2026 |
| Descriptive Statistics | ||||
|---|---|---|---|---|
| Variables | ||||
| CO2 | GDP | RES | URBAN | |
| Mean | 69,086,157 | 10,374,772 | 5.917804 | 71.89088 |
| Median | 71,359,600 | 22,679.81 | 4.050269 | 71.99800 |
| Maximum | 1.15 × 108 | 28,907,926 | 20.75422 | 80.67300 |
| Minimum | 16,998,966 | 7187.000 | 1.714122 | 59.96900 |
| Std. Dev. | 28,379,262 | 11,663,255 | 4.671719 | 5.187113 |
| Skewness | −0.130620 | 0.310749 | 1.729135 | −0.315790 |
| Kurtosis | 1.950502 | 1.261885 | 5.051361 | 2.539198 |
| Jaque-Bera | 2.875496 | 8.376290 | 39.74563 | 1.502613 |
| Probability | 0.237462 | 0.015174 | 0.000000 | 0.471750 |
| Sum | 4.08 × 109 | 6.12 × 108 | 349.1505 | 4241.562 |
| Sum Sq. Dev. | 4.67 × 1016 | 7.89 × 1015 | 1265.848 | 1560.556 |
| Observations | 59 | 59 | 59 | 59 |
| CO2 Emissions Assessment | ||||
|---|---|---|---|---|
| Time period: 1965–2023 | ||||
| Total observations: 59 | ||||
| Type of errors included: HAC standard errors and covariance (Bartlett kernel, Newey-West fixed bandwidth = 4.000) | ||||
| Variables and Indicators-Outcome Metrics | ||||
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
| GDP | 0.781408 | 0.215276 | 3.629800 | 0.0006 |
| RES | −4,511,693 | 384,792.2 | −11.72501 | 0.0000 |
| Urbanization | 5,123,380 | 476,516.7 | 10.75173 | 0.0000 |
| Constant term (Intercept) | −2.81 × 108 | 31,438,743 | −8.926748 | 0.0000 |
| Indicators: | ||||
| R-squared | 0.922699 | Mean dependent var | 69,086,157 | |
| Adjusted R-squared | 0.918482 | S.D. dependent var | 28,379,262 | |
| S.E. of regression | 8102657 | Akaike info criterion | 34.71867 | |
| Sum squared resid | 3.61 × 1015 | Schwarz criterion | 34.85952 | |
| Log likelihood | −1020.201 | Hannan-Quinn criterion. | 34.77365 | |
| F-statistic | 218.8335 | Durbin-Watson stat | 1.227579 | |
| Prob (F-statistic) | 0.000000 | |||
| White Test Results for Heteroskedasticity | ||||
|---|---|---|---|---|
| Variables and Indicators-Outcome Metrics | ||||
| F-statistic | 1.832545 | Prob. F (9.49) | 0.0859 | |
| Obs*R-squared | 14.85781 | Prob. Chi-Square (9) | 0.0949 | |
| Scaled explained SS | 10.25625 | Prob. Chi-Square (9) | 0.3301 | |
| C | 2.97 × 1015 | 3.50 × 1015 | 0.850368 | 0.3993 |
| GDP | −5,486,428 | 84,154,393 | −0.065195 | 0.9483 |
| GDP^2 | −0.019930 | 0.305993 | −0.065133 | 0.9483 |
| GDP*RES | −256,213.1 | 606,280.3 | −0.422598 | 0.6744 |
| GDP*URBAN | 82,626.77 | 1,246,473 | 0.066288 | 0.9474 |
| RES | −1.12 × 1014 | 1.34 × 1014 | −0.835079 | 0.4077 |
| RES^2 | −1.16 × 1012 | 1.04 × 1012 | −1.111186 | 0.2719 |
| RES*URBAN | 1.76 × 1012 | 1.99 × 1012 | 0.883832 | 0.3811 |
| URBAN | −8.07 × 1013 | 1.06 × 1014 | −0.760027 | 0.4509 |
| URBAN^2 | 5.50 × 1011 | 8.14 × 1011 | 0.676220 | 0.5021 |
| R-squared | 0.251827 | Mean dependent var | 6.12 × 1013 | |
| Adjusted R-squared | 0.114408 | S.D. dependent var | 7.78 × 1013 | |
| S.E. of regression | 7.32 × 1013 | Akaike info criterion | 66.84006 | |
| Sum squared resid | 2.63 × 1029 | Schwarz criterion | 67.19218 | |
| Log likelihood | −1961.782 | Hannan-Quinn criterion. | 66.97751 | |
| F-statistic | 1.832545 | Durbin-Watson stat | 2.055595 | |
| Prob (F-statistic) | 0.085871 | |||
| Indicator | Value | Degrees of Freedom | p-Value |
|---|---|---|---|
| F-statistic | 4.0998 | F (3.55) | 0.0107 |
| Obs*R-squared | 10.7826 | χ2(3) | 0.0130 |
| LM Breusch–Godfrey Test for Autocorrelation | ||||
|---|---|---|---|---|
| Variables and Indicators—Outcome Metrics | ||||
| F-statistic | 11.09749 | Prob. F (2.53) | 0.0001 | |
| Obs*R-squared | 17.41477 | Prob. Chi-Square (2) | 0.0002 | |
| GDP | −0.372019 | 0.130062 | −2.860320 | 0.0060 |
| RES | 28,505.60 | 268,637.6 | 0.106112 | 0.9159 |
| URBAN | 537,112.1 | 318,188.8 | 1.688029 | 0.0973 |
| C | −34,737,583 | 20,993,508 | −1.654682 | 0.1039 |
| RESID (-1) | 0.478199 | 0.148303 | 3.224476 | 0.0022 |
| RESID (-2) | 0.391732 | 0.141981 | 2.759033 | 0.0079 |
| R-squared | 0.295166 | Mean dependent var | 6.67 × 10−8 | |
| Adjusted R-squared | 0.228672 | S.D. dependent var | 7,890,323 | |
| S.E. of regression | 6929699 | Akaike info criterion | 34.43668 | |
| Sum squared resid | 2.55 × 1015 | Schwarz criterion | 34.64795 | |
| Log likelihood | −1009.882 | Hannan-Quinn criter. | 34.51915 | |
| F-statistic | 4.438995 | Durbin-Watson stat | 1.536492 | |
| Prob (F-statistic) | 0.001887 | |||
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Tranoulidis, A.; Farmaki, P. Long-Run Relationships Between Economic Growth, Urbanization, Renewable Energy, and CO2 Emissions in Greece. Energies 2026, 19, 907. https://doi.org/10.3390/en19040907
Tranoulidis A, Farmaki P. Long-Run Relationships Between Economic Growth, Urbanization, Renewable Energy, and CO2 Emissions in Greece. Energies. 2026; 19(4):907. https://doi.org/10.3390/en19040907
Chicago/Turabian StyleTranoulidis, Apostolos, and Polytimi Farmaki. 2026. "Long-Run Relationships Between Economic Growth, Urbanization, Renewable Energy, and CO2 Emissions in Greece" Energies 19, no. 4: 907. https://doi.org/10.3390/en19040907
APA StyleTranoulidis, A., & Farmaki, P. (2026). Long-Run Relationships Between Economic Growth, Urbanization, Renewable Energy, and CO2 Emissions in Greece. Energies, 19(4), 907. https://doi.org/10.3390/en19040907
