Research area
This research was performed in Edo State University Nigeria in 2021. The study used archival data extracted from World Bank data base and National Bureau of Statistical data base. The period under review is thirty-three years, 1987-2020.
Model specification
The model for the study is the modified version of
Carson and Fargher Simon, (2005) that scrutinizes the effect of coal used up, carbon emitted and economic advancement elucidated by limit theory structure. The model is stated below:
GDP = f(CO2EM, COSUM and TAX) ........(i)
This can mathematically expressed as;
GDP = a + β1 CO2 EMit + β2 COSU + β3 TAXit + U ........(1)
Where,
GDP = Gross domestic product.
CO
2EM = Carbon dioxide emission.
COSUM = Coal consumption.
TAX = Petroleum tax.
Estimation technique
The strength properties of the variables were ascertained with an assessment of ascertaining their stochastic characteristics, to expedite the determination of the apposite econometric context. Two amalgamated unit root assessments were performed in this work, that is
i.e. Fisher, PP-Fisher and Kwiatkowski-Phillips-Schmidt-Shin test statistic.
The stationary test for variable S is grounded on this equivalence:
.........(2)
Where,
d
0, d
1, d
2 and l
1, .. l
p are factors to be approximated and εt is the Gaussian white sound disruption term.
The assessment of co-integration employing the Johansen Fisher panel co-integration test structure precede the unit root assessments, after which the co-integration is tested. The presence of co-integration amid a given sequence variables suggests the presence of a modified device. This modification was performed via VECM linking three causation tests, that is, the short-run and long-run.
To exam a futuristic non-causation, the null hypothesis that the measurement of ECMt-1 is nil is verified alongside the alternative hypothesis ECMt-1¹0, in order to decide whether the regressors Granger cause CO
2.
Testing for short-run. An examination for short-run non-causality from GDP to CO
2 is conceded out by examining whether the constants of the insulated variances of the GDP are all equivalent to nil. The over-all causation is piloted by jointly displaying all the constants of the regressors including the coefficient of the ECT to zero. All assessments of causation were piloted through the Wald test. The study estimated the equivalence on basis of 2 lags applying SBC as a guide.
Evaluations technique
The multivariate Granger recommended by
Granger (1969) and promoted by
Sims (1972) approach was used to ascertain the direction of causativeness amongst the subject matter, that, carbon emission, taxation and GDP. Nevertheless, there is the likelihood that variables of this study are trending.
The multivariate regression inquiry was employed as the data analysis technique. The study used panel data. In order to ascertain the causation amidst the tested variables, we employed Engle-Granger approach in VECM framework based on transformed wald (MWALD) test in case of the augmented VAR. For the approximation, we employed seemingly unrelated regression (SUR) method. In this setting, we advance as follows. Firstly, the study will adopt the conventional approach like Engle-Granger for causation. Secondly, employed
Dolado and Lütkepohl (1996) and
Toda and Yamamoto (1995) approach to exam the rectilinear interconnection between company tax and GDP to crisscross the strength of the causation gotten by the conventional method used for the analysis.
After checking the co-integrating link amid variables tested, VEC archetypal test was performed which will help us to know the path of causation amongst the couple of variables employed in examining the amount of co-integration trajectories. This because co-integration does not only explain the direction of causation but also reveals the point at which long run equilibrium of variable is met. Conversely, VECM is said to also help to elucidate the route of causation amid some couple of variables in both short and long run causation as described by the momentous (employing t-test) insulated error alteration term while the short run causation is elucidated by first variance of dependent variables.
The Granger technique of inquiry to if X affects Y is meant to ascertain the extent to which to which existing Y can be explicated by preceding values of Y and to further establishes if added values of lagged X will increase the description. Y is assumed to Granger-caused by X when X aids in the forecast of Y. For dual variable like X and Y the Granger-causation VECM structure is calculated with the equations, as long as X and Y are joined in order one. The F-tests of the differenced dependent variables suggest, short-run causation influence of the variables. Contrarily, the impact of the insulated error-correction term(s) suggest long-run causation. The value of the insulated error-correction figure, conversely, is a short-run correction coefficient and represents the portion of long-term uncertainty (or inequity) in the dependent variable that is being adjusted in each short run. The non-emblematic or slightest removal of insulated error-correction figure will upsets the inferred long-term link and might lead to the disruption of the theory.