Energy Consumption, Economic Growth, and Climate Change Dynamics in Southeast European Countries
Abstract
1. Introduction
2. Literature Review
3. Methodology
- : change (first difference in logs) of CO2 emissions for country at time ;
- : lagged dependent variable (persistence in emission growth);
- : change in energy consumption;
- : change in renewable energy use;
- : change in income/output;
- : change in Industrial Production;
- : country-specific fixed effects (time-invariant heterogeneity);
- : idiosyncratic error term.
- ;
- is eliminated by first-differencing;
- is instrumented using internal GMM instruments (lags 2–3).
4. Data and Variables
5. Results
Country Effect
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
- Autocorrelation test
- Cointegration test
| Statistic | Value | Z-Value | p-Value |
|---|---|---|---|
| Gt | −1.913 | 0.221 | 0.588 |
| Ga | −3.147 | 3.279 | 1.000 |
| Pt | −6.041 | −0.348 | 0.364 |
| Pa | −2.969 | 1.490 | 0.932 |
| ivgress 2sls d_lnco (d_lnen = L.d.lnen d_lngdp) | ||||||
| Instrumental variables 2SLS regression | Number of obs = 244 | |||||
| Wald chi2(3) = 187.65 | ||||||
| Prob > chi2 = 0.0000 | ||||||
| R-squared = 0.6460 | ||||||
| Root MSE 0.0484 | ||||||
| d_lnco | Coefficient | Std. err. | Z | P > |z| | [95% conf. interval] | |
| d_lnen | 0.7128432 | 0.3100581 | 2.30 | 0.022 | 0.1051406 | 1.320546 |
| d_lnren | −0.0994106 | 0.0315901 | −3.15 | 0.002 | −0.161326 | −0.037495 |
| d_lngdp | 0.2617967 | 0.21666 | 1.21 | 0.277 | −0.1628491 | 0.6864425 |
| _cons | −0.008765 | 0.0046922 | −1.87 | 0.062 | −0.0179616 | 0.0004316 |
| Endogenous: d_lnen Exogenous: d_lnren d_lngdp L.d_lnen . .estat endogenous Test of endogeneity H0: Variables are exogenous Durbin (score) chi2 (1) = 3.12394 (p = 0.071) Wu-Hausman F(1,239) = 3.09961 (p = 0.0796) | ||||||
| Endogenous: d_lnren Exogenous: d_nen d_lngdp L.d_lnren . .estat endogenous Test of endogeneity H0: Variables are exogenous Durbin (score) chi2 (1) = 0.019934 (p = 0.8877) Wu-Hausman F(1,238) = 0.019525 (p = 0.8890) | Endogenous: d_lngdp Exogenous: d_lnen d_lnren L.d_lngdp . .estat endogenous Test of endogeneity H0: Variables are exogenous Durbin (score) chi2 (1) = 0.544356 (p = 0.4606) Wu-Hausman F(1,240) = 0.534434 (p = 0.4655) | |||||
- Country effect
| Country | Fe_Effect Average |
|---|---|
| Albania | −0.028 |
| Bosnia | 0.1 |
| Croatia | −0.06 |
| Greece | 0.188 |
| Italy | 0.01 |
| Malta | 0.05 |
| Montenegro | −0.11 |
| North Macedonia | 0.011 |
| Portugal t | 0 |
| Serbia | 0 |
| Slovenia | −0.13 |
| Spain | −0.058 |
- Regression models
| Fixed-effects (within) regression Number of obs = 240 Group variable: country Number of groups = 12 | |||||
| R-squared: Obs per group: Within = 0.7040 min = 16 Between = 0.8874 avg = 20.0 Overall = 0.7162 max = 21 | |||||
| F(5, 11) = 192.76 corr(u_i, Xb) = 0.1007 Prob > F = 0.0000 (Std. err. adjusted for 12 clusters in country) Robust | |||||
| Variable | Coefficient | std. err. | t | P > t | [95% conf. interval] |
| d_lnco L1. | −0.0371757 | 0.0813584 | −0.46 | 0.657 | −0.2162443 0.1418928 |
| d_lnen | 1.176642 | 0.1147167 | 10.26 | 0.000 | 0.9241525 1.429132 |
| d_lnren | −0.0608455 | 0.0451277 | −1.35 | 0.205 | −0.1601709 0.0384798 |
| d_lngdp | −0.0746492 | 0.0992117 | −0.75 | 0.468 | −0.2930128 0.1437143 |
| d_lnipi | −0.0092026 | 0.1287961 | −0.07 | 0.944 | −0.2926809 0.2742757 |
| _cons | −0.0042341 | 0.002616 | −1.62 | 0.134 | −0.0099919 0.0015237 |
| Regression with Driscoll-Kraay standard errors Number of obs = 240 Method: Pooled OLS Number of groups = 12 Group variable (i): country F(5, 20) = 64.43 maximum lag: 2 Prob > F = 0.0000 | |||||
| R-squared = 0.7169 Root MSE = 0.0440 | |||||
| Variable | Coefficient | std. err. | t | P > t | [95% conf. interval] |
| d_lnco L1. | −0.0221888 | 0.0631456 | −0.35 | 0.729 | −0.1539081 0.1095305 |
| d_lnen | 1.182337 | 0.1562641 | 7.57 | 0.000 | 0.8563756 1.508298 |
| d_lnren | −0.063614 | 0.027108 | −2.35 | 0.029 | −0.1201603 −0.0070677 |
| d_lngdp | −0.0478143 | 0.1465614 | −0.33 | 0.748 | −0.353536 0.2579075 |
| d_lnipi | 0.0050817 | 0.0551336 | 0.09 | 0.927 | −0.109925 0.1200884 |
| _cons | −0.0047409 | 0.0018616 | −2.55 | 0.019 | −0.0086241 −0.0008576 |
| Dynamic panel-data estimation, two-step system GMM | |||||
| Group variable: country Number of obs = 240 Time variable: year Number of groups = 12 Number of instruments = 8 Obs per group: min = 16 F(5, 11) = 177.50 avg = 20.00 Prob > F = 0.000 max = 21 | |||||
| Variable | Coefficient | std. err. | t | P > t | [95% conf. interval] |
| d_lnco L1. | 0.1260084 | 0.5409579 | 0.23 | 0.820 | −1.064632 1.316649 |
| d_lnen | 1.250469 | 0.4709838 | 2.66 | 0.022 | 0.2138401 2.287097 |
| d_lnren | −0.1043469 | 0.0663454 | −1.57 | 0.144 | −0.2503721 0.0416784 |
| d_lngdp | −0.1157663 | 0.2290349 | −0.51 | 0.623 | −0.6198686 0.3883361 |
| d_lnipi | −0.0971755 | 0.1545081 | −0.63 | 0.542 | −0.4372454 0.2428944 |
| _cons | 0.0004196 | 0.0110723 | 0.04 | 0.970 | −0.0239505 0.0247896 |
| Instruments for first differences equation | |||||
| Standard | |||||
| D.(d_lnen d_lnren d_lngdp d_lnipi) | |||||
| GMM-type (missing = 0, separate instruments for each period unless collapsed) | |||||
| L(2/3).L.d_lnco collapsed | |||||
| Instruments for levels equation | |||||
| Standard | |||||
| d_lnen d_lnren d_lngdp d_lnipi | |||||
| _cons | |||||
| GMM-type (missing = 0, separate instruments for each period unless collapsed) | |||||
| DL.L.d_lnco collapsed | |||||
| Arellano-Bond test for AR(1) in first differences: z = −0.99 Pr > z = 0.321 | |||||
| Arellano-Bond test for AR(2) in first differences: z = 0.51 Pr > z = 0.609 | |||||
| Sargan test of overid. restrictions: chi2(2) = 3.64 Prob > chi2 = 0.162 | |||||
| (Not robust, but not weakened by many instruments.) | |||||
| Hansen test of overid. restrictions: chi2(2) = 3.83 Prob > chi2 = 0.148 | |||||
| (Robust, but weakened by many instruments.) | |||||
| Difference-in-Hansen tests of exogeneity of instrument subsets: | |||||
| GMM instruments for levels | |||||
| Hansen test excluding group: chi2(1) = 3.82 Prob > chi2 = 0.051 | |||||
| Difference (null H = exogenous): chi2(1) = 0.01 Prob > chi2 = 0.927 | |||||
- Cross-sectional independence test
- -
- Pesaran’s test of cross-sectional independence = 0.386, Pr = 0.6995;
- -
- Average absolute value of the off-diagonal elements = 0.190.
- Heteroskedasticity test
- -
- Modified Wald test for groupwise heteroskedasticity in fixed effect regression model;
- -
- H0: sigma(i)2 = sigma2 for all I;
- -
- Chi2 (12) = 1134.37;
- -
- Prob > chi2 = 0.0000.
- Serial correlation test
- -
- Wooldridge test for autocorrelation in panel data;
- -
- H0: no first-order autocorrelation;
- -
- F (1, 11) = 4.977;
- -
- Prob > F = 0.0474.
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| Variables | FE (Cluster) | p Value | Driscoll–Kraay | p Value | System GMM | p Value |
|---|---|---|---|---|---|---|
| LdlnCO2 | −0.037 | 0.657 | −0.022 | 0.729 | 0.1126 | 0.820 |
| Dlnen | 1.177 *** | 0.000 | 1.182 *** | 0.000 | 1.250 ** | 0.022 |
| Dlnren | −0.06 | 0.305 | −0.064 ** | 0.029 | −0.104 | 0.144 |
| Dlngdp | −0.075 | 0.468 | −0.048 | 0.748 | −0.116 | 0.623 |
| Dlnipi | −0.009 | 0.944 | 0.005 | 0.927 | −0.097 | 0.542 |
| Constant | −0.004 | 0.134 | −0.005 ** | 0.019 | −0.000 | 0.970 |
| Cluster 1—High persistent emitters | Cluster 2—Moderate emitters |
| Greece, Bosnia | Malta |
| North Macedonia | |
| Italy | |
| Cluster 3—Neutral emitters | Cluster 4—Stable low emitters |
| Serbia | Albania |
| Portugal | Montenegro |
| Slovenia | |
| Croatia | |
| Spain |
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Muço, K.; Karma, E.; Nguyen, L. Energy Consumption, Economic Growth, and Climate Change Dynamics in Southeast European Countries. Sustainability 2026, 18, 5776. https://doi.org/10.3390/su18115776
Muço K, Karma E, Nguyen L. Energy Consumption, Economic Growth, and Climate Change Dynamics in Southeast European Countries. Sustainability. 2026; 18(11):5776. https://doi.org/10.3390/su18115776
Chicago/Turabian StyleMuço, Klodian, Emiljan Karma, and Luca Nguyen. 2026. "Energy Consumption, Economic Growth, and Climate Change Dynamics in Southeast European Countries" Sustainability 18, no. 11: 5776. https://doi.org/10.3390/su18115776
APA StyleMuço, K., Karma, E., & Nguyen, L. (2026). Energy Consumption, Economic Growth, and Climate Change Dynamics in Southeast European Countries. Sustainability, 18(11), 5776. https://doi.org/10.3390/su18115776

