1 Introduction
2 Literature: Theoretical Perspective
2.1 Empirical Literature: A Synopsis
3 Data and Methods
Data Description | |||
---|---|---|---|
Variable | Code | Unit of measurement | Source |
Carbon emissions | CE | Kilotons | WDI |
Gross Domestic Product per Capital | GDPC | constant USD = 2010 | WDI |
Law and Order Index | LO | index (1 = low, 6 = high) | PRS |
Socioeconomic Index | SE | index (1 = low, 6 = high) | PRS |
Descriptive Statistics | LnEM | LnGDPC | LO | SE |
---|---|---|---|---|
Mean | 9.457 | 7.357 | 3.136 | 4.952 |
Median | 9.250 | 7.242 | 3 | 5 |
Maximum | 16.147 | 11.351 | 7.1667 | 11 |
Minimum | 4.988 | 4.549 | 0 | 0 |
Std. Deviation | 2.036 | 1.355 | 1.243 | 1.957 |
Skewness | 0.332 | 0.377 | 0.080 | 0.25 |
Kurtosis | 2.750 | 2.500 | 2.382 | 3.140 |
Observations | 2474 | 2474 | 2474 | 2474 |
Variable | LnEM | LnGDPC | LO | SE |
---|---|---|---|---|
Correlation Matrix | ||||
LnEM | 1 | |||
LnGDPC | 0.453* | 1 | ||
LO | 0.186* | 0.313* | 1 | |
SE | 0.333* | 0.53* | 0.366* | 1 |
3.1 Model and Preliminary Tests
3.1.1 The Cross-Sectional Dependence (CD) Tests
Variables | LM Test | CDLM Test | LM Test | CD Test |
---|---|---|---|---|
LCEM | 54,505* | 644.862* | 643.528* | 189.240* |
LGDPC | 61,746.20* | 735.924* | 734.608* | 241.747* |
LO | 32,006.58* | 361.851* | 360.518* | 73.103* |
SE | 18,931.06* | 197.376* | 196.024* | 38.054* |
Slope Homogeneity Test | 41.93* |
3.1.2 The Panel Unit Root and Cointegration Tests
Level | First Difference | |||
---|---|---|---|---|
Constant | Trend | Constant | Trend | |
Harris-Tzavalis Panel Unit Roots | ||||
lnCEM | 1.050 | 0.970 | 0.014* | − 0.011* |
lnGDPC | 1.003 | 0.759 | − 0.017* | − 0.030* |
LO | 0.882** | 0.845 | 0.124* | 0.124* |
SE | 0.842* | 0.749 | 0.078* | 0.074* |
Panel CIPS | Level | First Difference | ||
---|---|---|---|---|
Constant | Trend | Constant | Trend | |
lnCEM | − 2.093*** | − 2.834* | − 5.687* | − 5.902* |
lnGDPC | − 1.952 | − 2.375 | − 5.658* | − 5.836* |
LO | − 2.055*** | − 2.717* | − 5.398* | − 5.473* |
SE | − 1.931 | − 2.222 | − 5.192* | − 5.216* |
Value | Z-value | P-value | |
---|---|---|---|
Westerlund ECM Panel Cointegration | |||
Gt | − 3.052 | − 3.573 | 0.000* |
Ga | − 11.697 | 4.263 | 1.000 |
Pt | − 25.587 | − 3.777 | 0.000* |
Pa | − 12.454 | − 0.337 | 0.369 |
4 Empirical Methods: Cointegration Coefficient Estimates
Variable | MG | AMG | CCMG | ||||||
---|---|---|---|---|---|---|---|---|---|
Coef | P-value | C.I (95%) | Coef | P-value | C.I (95%) | Coef | P-value | C.I (95%) | |
lnGDP | 0.124* | 0.000 | 0.068|0.180 | 0.915* | 0.0002 | 0.030|0.149 | 0.089** | 0.019 | 0.014|0.163 |
LO | 0.004 | 0.822 | − 0.028|0.356 | 0.057 | 0.724 | − 0.026|0.037 | − 0.008 | 0.703 | − 0.049|0.033 |
SE | 0.020** | 0.032 | 0.002|0.038 | 0.023** | 0.010 | 0.005|0.040 | 0.014 | 0.207 | − 0.008|0.366 |
C | 7.974* | 0.000 | 7.380|8.560 | 8.178* | 0.000 | 7.5798|0.777 | − 1.056 | 0.741 | − 7.317|5.204 |
t | 0.032* | 0.000 | 0.026|0.038 | 0.002 | 0.537 | − 0.004|0.008 | − 0.003 | 0.840 | − 0.028|0.022 |
G(t) | 0.750** (60 trends) | 0.550** (44 trends) | 0.475** (38 trends) | ||||||
Wald chi 2(3) | 25.50* | 18.25* | 11.35** | ||||||
RMSE (sigma, σ) | 0.130 | 0.129 | 0.090 | ||||||
Number of observations | 2400 | 2400 | 2400 |
Causality | z-bar | Causality | z-bar |
---|---|---|---|
lcem → lngdpc | 19.801* | lngdpc → lncem | 21.280* |
lncem → lo | 21.280* | lo → lncem | 3.112** |
lncem → se | 3.130* | se → lncem | 2.333** |
lnlo → lngdpc | 5.557* | lngdpc → lnlo | 1.241 |
lnse → lngdpc | 4.900* | lngdpc → lnse | 0.367 |
se → lo | 15.270* | lo → se | 10.566* |