4. Findings and Discussion
An overview of the central tendencies, variability, and distribution characteristics of the variables under study provide
Table 2. For example only the median of lnGTI (2.018) is slightly lower than the mean, indicating a slight left skew. Other medians are very close to the mean, suggesting a symmetric distribution. Standard deviations indicate low variability in variables except lnGTI which shows moderate variability in green technology innovation.
Table 2 also outlines the correlation coefficients between these variables, illustrating the relationships and potential multicollinearity among them. For instance, there is a strong negative correlation between lnCO2 and lnGTI (-0.809), indicating that higher levels of green technology innovation are associated with lower CO2 emissions. Similarly, there is a strong positive correlation between lnGTI and lnTO (0.796), suggesting that higher trade openness is associated with increased development of green technologies.
Figure 3 illustrates the graphs of the logarithmic series. The Bai-Perron test [
81,
82] identifies breaks for the model between 1998 and 2010.
Table 3 presents the results of the DF-GLS unit root test, which determines whether a time series is stationary (i.e., it does not have a unit root) at levels (I(0)) or after differencing once (I(1)). lnCO2 is non-stationary at level (I(0)), but becomes stationary after first differencing (I(1)) at a 1% significance level. lnGTI is stationary at both levels (I(0) and I(1)) at a 1% significance level, suggesting that lnGTI does not have a unit root. lnNEC and lnTO are non-stationary at level (I(0)), but become stationary after first differencing (I(1)) at a 10% significance level. These findings are critical for determining the appropriate econometric models to use in subsequent analysis, such as the ARDL bounds testing approach, which requires the variables to be integrated of order one, I(1), but not higher.
Table 4 presents the results of the Lee-Strazicich LM unit root test. This test determines whether a time series is stationary, accounting for structural breaks in the data. The table provides results for tests with both single and double structural breaks.
The Lee-Strazicich LM unit root test results indicate that most series become stationary after accounting for structural breaks, either single or double. lnCO2 and lnNEC show strong evidence of structural breaks impacting their stationarity at both levels, and first differencing lnGTI demonstrates stability at both levels with structural breaks accounted for. lnTO becomes stationary after first differencing, with significant structural breaks impacting its stability. The Lee-Strazicich LM test provides additional insights by accounting for structural breaks, which the DF-GLS test does not consider.
Both tests generally agree on the stationarity of the variables after first differencing. The Lee-Strazicich LM test reveals the presence and impact of structural breaks, offering a more detailed and accurate assessment of stationarity for all variables. Understanding structural breaks is crucial for accurately modeling and forecasting these economic and environmental variables. These findings allow for the use of the preferred boundary test approach proposed by [
76] when variables are stationary at different levels. Furthermore, since none of the series are stationary at the I(2) level, the ARDL boundary test can be employed to observe the presence of long-term relationships.
Table 5 presents the results for determining the appropriate lag length for the Vector Autoregression (VAR) model. The selection criteria used include the Likelihood Ratio (LR), Final Prediction Error (FPE), Akaike Information Criterion (AIC), Schwarz Information Criterion (SIC), and Hannan-Quinn Information Criterion (HQ). Each criterion suggests the most appropriate lag length based on different aspects of model performance.
The highest value LR (28.88605) at lag length 3 suggests this is the optimal lag length for capturing the dynamics in the data. The lowest value FPE (4.62e-12) at lag length 3 indicates this lag length provides the best out-of-sample forecasting accuracy. The lowest value, AIC (-15.09714) at lag length 3, suggests it minimizes the information loss. The lowest value SIC (-13.43529) at lag length 1 suggests it balances model fit and complexity, but considering SIC tends to penalize model complexity more heavily, it might suggest a shorter lag length. The lowest value HQ (-14.35504) at lag length 3 indicates it is the preferred lag length considering model fit and complexity. In summary, most criteria suggest that a lag length of 3 is the most appropriate for the VAR model, as it provides the best model performance in terms of capturing the dynamics, minimizing forecasting errors, and balancing model fit and complexity. However, SIC suggests a lag length of 1, possibly due to its higher penalty for model complexity. Given the overall results, a maximum lag length of 3 is recommended and selected for the ARDL and the Toda-Yamamoto causality analysis.
The results of the ARDL cointegration analysis are presented in
Table 6. The F-statistic of 16.163 is greater than the upper critical value (4.66) and provides strong evidence (at the 1% significance level) that the variables are cointegrated, confirming the existence of a long-term relationship. The optimal lag length of (3, 1, 1, 0) was determined, indicating that lnCO2 requires three lagged terms to best capture its dynamics, while lnGTI and lnNEC require one lagged term each, and lnTO does not require any lagged terms. The significant and negative error correction term (ECTt-1) demonstrates that any short-term deviations from the long-term equilibrium are corrected at a moderate speed at a rate of 15.1% per period, ensuring the system returns to equilibrium over time, approximately after 6.66 years (1/0.15).
Table 7 presents the long-term estimation results for the ARDL model, along with several diagnostic tests to assess the model’s robustness and validity. The constant term is significant at the 1% level, indicating a strong baseline level of CO2 emissions when all independent variables are zero. lnGTI has a significant negative impact on lnCO2 at the 5% level, suggesting that an increase in green technology innovation leads to a reduction in CO2 emissions. lnNEC and lnTO have a marginally significant impact on lnCO2 at the 10% level, indicating that higher nuclear energy consumption is associated with lower CO2 emissions and higher trade openness is associated with greater CO2 emissions, although these effects are less certain. R-squared (0.988) indicates that 98.8% of the variance in lnCO2 is explained by the independent variables. Adjusted R-squared (0.983), adjusted for the number of predictors, 98.3% of the variance in lnCO2 is explained, suggesting a very good model fit. F-statistics (194.238) with p-value 0.000 suggests that the overall model is highly significant at the 1% level, indicating that the independent variables collectively have a significant impact on the dependent variable. The model passes all diagnostic tests, suggesting no issues with serial correlation, heteroscedasticity, normality of residuals, or model misspecification.
Additionally the presence of autocorrelation and heteroscedasticity in the model was examined using the Breusch-Godfrey LM test and ARCH LM test, respectively (
Table 7). The p-values being greater than the 0.05 significance level confirm the absence of these problems. To investigate whether there was a specification error in the model, a Ramsey RESET Test was conducted, and it was determined that there was no error. Furthermore, by applying the Jarque-Bera normality test to the residuals of the model, it was concluded that these values followed a normal distribution.
Figure 4 illustrates the results of the CUSUM and CUSUMSQ tests developed by Brown et al. [
83] to measure the stability of long-run coefficients. Both tests indicate that the ARDL model’s coefficients are stable over the sample period from 2002 to 2018. The lines in both tests remain within the 5% significance boundaries, suggesting no significant structural breaks in the model. This stability is crucial for the reliability of the model’s long-term estimates and confirms the robustness of the results presented in the study.
The findings obtained in the study regarding the impact of nuclear energy consumption on environmental quality are consistent with several prior studies. The results align with those of Anwar et al. [
9], Jahanger et al. [
14], Lee et al. [
51], Pao and Chen [
52], Saidi and Omri [
53], Nathaniel et al. [
54], Majeed et al. [
55], and Rehman et al. [
84], which also observed a positive impact of NEC on EQ. These studies collectively suggest that increased use of nuclear energy contributes to better environmental outcomes. However, the study’s findings contrast with those of Sadiq et al. [
10], Sarkodie and Adams [
56], Mahmood et al. [
57], Saidi and Mbarek [
58], Al-Mulali [
85] and Jin and Kim [
86], which found that nuclear energy leads to environmental degradation. This discrepancy highlights the ongoing debate and complexity surrounding the environmental impacts of nuclear energy.
Similarly, the positive effect of green technology innovation on environmental sustainability observed in this study supports the conclusions of Chang et al. [
17], Ganda [
25], Tang et al. [
26], Wang et al. [
27], and Mighri and Sarkodie [
29]. These studies emphasize the role of technological advancements in promoting environmental sustainability by reducing emissions and improving energy efficiency. Conversely, this finding contradicts the results of Fernández et al. [
31], Dauda et al. [
32], and Mongo et al. [
34], who found that GTI can lead to environmental degradation. These conflicting results indicate that the relationship between technological innovation and environmental outcomes may be context-dependent, influenced by factors such as implementation practices and regional policies.
Moreover, the study found a positive impact of trade openness on CO2 emissions. Specifically, a 1% increase in lnTO leads to a 1.233% increase in lnCO2, indicating that trade openness has a detrimental effect on environmental quality in the US. This finding is consistent with the Inhibition hypothesis, supported by studies such as Zamil et al. [
60], Musah et al. [
61], Gozgor [
62], Jun et al. [
63], and Su and Moaniba [
87]. These studies suggest that increased trade can exacerbate environmental degradation by fostering industrial activities that lead to higher emissions. However, the study’s findings are at odds with those supporting the Promotion hypothesis, such as Chebbi et al. [
64], Shahbaz et al. [
65], Zhang et al. [
66], Mutascu and Sokic [
67], Hussain et al. [
88], Khurshid et al. [
89], and Ma et al. [
90]. These studies argue that trade openness can enhance environmental quality by facilitating the transfer of green technologies and promoting stricter environmental standards through international cooperation.
In the final step, the causality is examined. The Toda-Yamamoto causality test results in
Table 8 reveal that green technology innovation has a significant unidirectional causal effect on CO2 emissions. A significant bidirectional causality exists between nuclear energy consumption and CO2 emissions, indicating mutual influence. There is also significant bidirectional causality between trade openness and CO2 emissions, suggesting reciprocal effects.
The finding of bidirectional causality between nuclear energy and CO2 emissions in the study is consistent with the findings of Majeed et al. [
55] and Murshed et al. [
13]. However, this result differs from the unidirectional causality detected from NE to CE by Pata and Samour [
12] and Jóźwik et al. [
48]. Regarding the unidirectional causality running from green technology innovation to CE identified in the study, it aligns with the findings of Lingyan et al. [
44] and Razzaq et al. [
91], but it is not consistent with the study by Qin et al. (2021) [
92], which detected bidirectional causality between these two variables. Lastly, the finding of bidirectional causality between trade openness and CE is similar to the study by Musah et al. [
61] but contradicts the unidirectional causality running from TO to CE found by Jun et al. [
63].