Submitted:
04 September 2024
Posted:
04 September 2024
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Abstract
Keywords:
1. Introduction
1.1. Background
1.2. Objectives and Motivation
1.3. Research Problem
2. Energy Transition and Decarbonization Initiatives in Oman
2.1. key developments and initiatives in Oman related to energy transition and decarbonization
2.2. National Strategies and Policies
3. Literature Review
4. Model, Data, and Econometric Strategy
4.1. Model
4.2. Data, Variable Description & Expected Sign of Parameters
- Ln RGDPCit (Per Capita GDP): The coefficient α1 represents the effect of per capita GDP on carbon emissions. Typically, as a country's per capita GDP increases, it indicates higher economic development. In this context, a positive relationship is often observed, meaning that as the economy grows, carbon emissions tend to increase due to increased industrialization, energy consumption, and transportation. Therefore, α1 is likely to be positive, α1 > 0
- ENGYit (Energy Use): The coefficient α2 represents the effect of energy use per capita on carbon emissions. Higher energy use is generally associated with higher carbon emissions, as most energy sources involve the combustion of fossil fuels. Hence, α2 is also likely to be positive. α2 > 0
- URBit (Urban Population Percentage): The coefficient α3 signifies the impact of the percentage of urban population on carbon emissions. Urbanization often leads to increased energy consumption and emissions due to factors like increased transportation and energy demand. Thus, α3 is likely to be positive. α3 > 0.
- FDIit (Foreign Direct Investment): The relationship between FDI and emissions can vary. FDI may lead to technology transfer and increased efficiency, potentially reducing emissions (negative effect). However, it can also drive industrialization and increased production, leading to higher emissions (positive effect). The actual direction of α4 will depend on the specific context, (α4 < 0 or α4 > 0)
- FDX it (Financial Development Index): A developed financial sector can promote green investments and sustainable practices, potentially reducing emissions (negative effect). Conversely, if financial development leads to increased industrial activity, it might raise emissions (positive effect). Like other variables, the direction of α6 will depend on specific circumstances. (α5 < 0 or α5 > 0)
- εit (Error Term): The error term εit captures unexplained variation in carbon emissions that is not accounted for by the independent variables in the model. It encompasses other factors and random variability.
3.2. Econometric Methodology
3.2.1. Johansen cointegration test
- Yt is a vector of the variables included in the model (e.g., CO2 emissions, per capita GDP, energy use per capita, etc.).
- Π is a matrix of cointegration parameters.
- Γi are coefficient matrices for the first differences of the variables up to lag p.
- ϵt is the error term.
3.2.2. Canonical Cointegrating Regression (CCR)
- Yt is the dependent variable at time t.
- X1t, X2t,…,Xkt are the independent (cointegrating) variables at time t.
- β0 is the intercept term.
- β1,β2,…,βk are the cointegrating coefficients to be estimated.
- ϵt is the error term at time t, which is assumed to be stationary.
3.2.3. The error correction model (ECM)
- Xt−1 represents the lagged values of the cointegrating variables.
- α is the coefficient of the error correction term, representing the speed of adjustment towards the long-run equilibrium.
- β is the coefficient matrix of the cointegrating vector(s).
- The remaining terms are as defined in the previous model.
3.2.4. Stepwise Regression
- Start with no variables: Y=β0+ϵ
- Add the most significant variable (e.g., X1): Y=β0+β1X1+ϵ
- Evaluate and possibly add X2: Y=β0+β1X1+β2X2+ϵ
-
Check if X1 or X2 become insignificant and remove if necessary:
- ○
- If both are significant, keep both.
- ○
- If X1 becomes insignificant after adding X2: Y=β0+β2X2+ϵ
- Continue by evaluating X3: Y=β0+β1X1+β2X2+β3X3+ϵ
3.2.5. Fully Modified Least Squares (FMOLS)
- Yt is the dependent variable at time t.
- X1t, X2t,…,Xkt_ are the independent variables at time t.
- β0,β1,β2,…,βk are the coefficients to be estimated.
- ϵt is the error term assumed to be white noise,
5. Results
5.1. Descriptive Statistics
5.2. Stepwise Regression
5.3. Robust Check
5.4. Unit Root Test
5.5. The Johansen cointegration test
5.6. The Canonical Cointegrating Regression (CCR)
5.8. The Vector Error Correction (VEC)
5.9. Fully Modified Least Squares (FMOLS)
6. Diagnostic Tests
7. Discussion
8. Conclusion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Definition | Codes | Source | |
|---|---|---|---|
| Dependent variable | CO2 emissions (metric tons per capita) | CO2 | WDI, 2022 |
| Independent variables | Real GDP at constant 2011 national prices (Converted to the equivalent USD million, 2011) Energy use (kg of oil equivalent per capita) Urban Population |
RGDPCit ENGYit URBit |
PWT 10.0 WDI, 2022 WDI, 2022 |
| Control variables | Foreign Direct Investment (% of GDP) | FDIit | WDI, 2022 |
| Financial Development Index | FDX it | WDI, 2022 |
| Series | CO2 | FDX | ENGY | FDI | RGDPC | URB |
|---|---|---|---|---|---|---|
| Mean | 12.57616 | 41.99475 | 4691.028 | 2.002824 | 18599.18 | 75.64735 |
| Median | 13.28492 | 37.46007 | 5499.200 | 1.387658 | 18948.28 | 72.96700 |
| Maximum | 17.30974 | 77.32465 | 6771.205 | 7.917523 | 21458.39 | 87.91250 |
| Minimum | 6.566793 | 20.61221 | 2328.300 | -2.760018 | 13841.41 | 66.10200 |
| Std. Dev. | 3.583404 | 16.26026 | 1597.079 | 2.169683 | 1913.771 | 6.025801 |
| Skewness | -0.393347 | 0.701653 | -0.079602 | 0.737625 | -0.571905 | 0.700000 |
| Kurtosis | 1.600569 | 2.405329 | 1.214834 | 3.630601 | 2.672211 | 2.262357 |
| Probability | 0.170012 | 0.202504 | 0.109881 | 0.170394 | 0.377824 | 0.178783 |
| Sum | 415.0133 | 1385.827 | 154803.9 | 66.09319 | 613772.8 | 2496.363 |
| Sum Sq. Dev. | 410.9051 | 8460.676 | 81621140 | 150.6408 | 1.17E+08 | 1161.929 |
| C.V | 28.50% | 38.72% | 34.06% | 8.32% | 10.29% | 7.96% |
| Observations | 33 | 33 | 33 | 33 | 33 | 33 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| FDX | -0.0203 | 0.0321 | -0.6326 | 0.5323 |
| ENGY | 0.0012 | 0.0003 | 4.0273 | 0.0004 |
| FDI | -0.0446 | 0.1053 | -0.4241 | 0.6749 |
| RGDPC | 0.0007 | 0.0002 | 4.2662 | 0.0002 |
| URB | 0.3449 | 0.135619 | 2.5438 | 0.017 |
| C | -30.823 | 10.3176 | -2.9874 | 0.0059 |
| R-squared | 0.9228 | Mean dependent var | 12.5762 | |
| Adjusted R-squared | 0.9086 | S.D. dependent var | 3.58340 | |
| S.E. of regression | 1.0836 | Akaike info criterion | 3.16147 | |
| Sum squared resid | 31.7048 | Schwarz criterion | 3.4336 | |
| Log likelihood | -46.1643 | Hannan-Quinn criter. | 3.2530 | |
| F-statistic | 64.5859 | Durbin-Watson stat | 2.0399 | |
| Variable | Coefficient | Std. Error | z-Statistic | Prob. |
|---|---|---|---|---|
| FDX | -0.021083 | 0.033512 | -0.629119 | 0.5293 |
| ENGY | 0.001320 | 0.000313 | 4.217142 | 0.0000 |
| FDI | -0.032617 | 0.109913 | -0.296754 | 0.7667 |
| RGDPC | 0.000630 | 0.000166 | 3.804982 | 0.0001 |
| URB | 0.331275 | 0.141597 | 2.339569 | 0.0193 |
| C | -29.55645 | 10.77239 | -2.743722 | 0.0061 |
| Robust Statistics | ||||
| R-squared | 0.704947 | Adjusted R-squared | 0.650307 | |
| Rw-squared | 0.950575 | Adjust Rw-squared | 0.950575 | |
| Akaike info criterion | 50.85702 | Schwarz criterion | 60.63514 | |
| Deviance | 25.15234 | Scale | 0.796405 | |
| Rn-squared statistic | 313.4801 | Prob(Rn-squared stat.) | 0.000000 | |
| Variable | Level ADF Test Statistic | Level Critical Value (5%) | Level P-Value | Conclusion | First Difference ADF Test Statistic | First Difference Critical Value (5%) | First Difference P-Value | Conclusion |
|---|---|---|---|---|---|---|---|---|
| CO2 | -1.944 | -2.93 | 0.311 | I(0) | -5.23 | -2.93 | 0.0001 | I(1) |
| RGDPC | 0.66 | -2.93 | 0.859 | I(0) | -4.87 | -2.93 | 0.0002 | I(1) |
| ENGY | -1.387 | -2.93 | 0.589 | I(0) | -6.11 | -2.93 | 0.0000 | I(1) |
| FDI | -1.511 | -2.93 | 0.526 | I(0) | -3.74 | -2.93 | 0.0035 | I(1) |
| FDX | -0.239 | -2.93 | 0.931 | I(0) | -4.35 | -2.93 | 0.001 | I(1) |
| URB | 0.338 | -2.93 | 0.979 | I(0) | -3.27 | -2.93 | 0.0175 | I(1) |
| Hypothesized | Trace | 0.05 | ||
| No. of CE(s) | Eigenvalue | Statistic | Critical Value | Prob.** |
| None * | 0.852152 | 141.5134 | 95.75366 | 0.0000 |
| At most 1 * | 0.697394 | 82.25467 | 69.81889 | 0.0037 |
| At most 2 | 0.412530 | 45.19960 | 47.85613 | 0.0870 |
| At most 3 | 0.345267 | 28.70978 | 29.79707 | 0.0663 |
| At most 4 * | 0.304168 | 15.58042 | 15.49471 | 0.0486 |
| At most 5 * | 0.130596 | 4.338355 | 3.841466 | 0.0373 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| FDX | -0.019669 | 0.031739 | -0.619717 | 0.5408 |
| FDI | -0.038942 | 0.113381 | -0.343464 | 0.734 |
| ENGY | 0.001324 | 0.000299 | 4.430817 | 0.0002 |
| RGDPC | 0.000698 | 0.000156 | 4.466309 | 0.0001 |
| URB | 0.286755 | 0.134713 | 2.128644 | 0.0429 |
| C | -27.48004 | 10.17604 | -2.700465 | 0.012 |
| R-squared | 0.912471 | Mean dependent var | 12.76395 | |
| Adjusted R-squared | 0.895639 | S.D. dependent var | 3.471841 | |
| S.E. of regression | 1.121577 | Sum squared resid | 32.70632 | |
| Durbin-Watson stat | 2.987638 | Long-run variance | 1.002499 | |
| Dependent | tau-statistic | Prob.* | z-statistic | Prob.* |
|---|---|---|---|---|
| CO2 | -3.428854 | 0.5736 | -24.59148 | 0.1746 |
| FDX | -4.102383 | 0.2905 | -36.11239 | 0.0043 |
| ENGY | -3.970701 | 0.3369 | -21.602 | 0.3232 |
| RGDPC | -3.454003 | 0.5621 | -21.81771 | 0.3021 |
| FDI | -3.498553 | 0.5404 | -18.35119 | 0.5185 |
| URB | -4.40806 | 0.1949 | -33.18668 | 0.0142 |
| *[37] p-values. | ||||
| Table 14: Vector Error Correction Estimates | |||||
| Cointegrating Eq: | CointEq1 | ||||
| FDX(-1) | 1.000000 | ||||
| ENGY(-1) | 0.012985 | ||||
| (0.00173) | |||||
| [ 7.51782] | |||||
| URB(-1) | -5.785633 | ||||
| (0.39863) | |||||
| [-14.5139] | |||||
| RGDPC(-1) | -0.006445 | ||||
| (0.00102) | |||||
| [-6.30697] | |||||
| FDI(-1) | -1.308321 | ||||
| (0.42086) | |||||
| [-3.10868] | |||||
| 458.9406 | |||||
| Error Correction: | D(FDX) | D(ENGY) | D(URB) | D(RGDPC) | D(FDI) |
| CointEq1 | -1.29361 | 1.558143 | 0.015515 | 10.58644 | 0.098716 |
| (0.30792) | (30.1303) | (0.01322) | (41.6090) | (0.12697) | |
| [-4.20118] | [ 0.05171] | [ 1.17334] | [ 0.25443] | [ 0.77750] |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| FDX | -0.016306 | 0.030732 | -0.530564 | 0.6002 |
| ENGY | 0.001340 | 0.000292 | 4.587023 | 0.0001 |
| FDI | -0.056056 | 0.097270 | -0.576295 | 0.5694 |
| RGDPC | 0.000657 | 0.000170 | 3.869514 | 0.0007 |
| URB | 0.284912 | 0.139012 | 2.049551 | 0.0506 |
| C | -26.69682 | 10.96363 | -2.435035 | 0.0221 |
| R-squared | 0.915782 | Mean dependent var | 12.76395 | |
| Adjusted R-squared | 0.899586 | S.D. dependent var | 3.471841 | |
| S.E. of regression | 1.100165 | Sum squared resid | 31.46941 | |
| Durbin-Watson stat | 2.033042 | Long-run variance | 1.002499 | |
| Diagnostic probes | Coefficient | p-value | Conclusion |
|---|---|---|---|
| Jarque-Bera analysis | 0.0796 | 0.6214 | The residuals follow a normal distribution. |
| Breusch-Godfrey LM analysis | 1.3340 | 0.35428 | No serial correlation is present. |
| Breusch-Pagan-Godfrey analysis | 1.5601 | 0.4762 | Heteroscedasticity is absent. |
| Stability (CUSUMSQ) | Stable | Stable | The model is stable. |
| Ramsey RESET analysis | 1.3574 | 0.2259 | The model is accurately specified |
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