Before testing for cointegration, we examine the unit root characteristics of the series. The ARDL/NARDL techniques can be applied on the assumption that the variables are integrated in order 1 or 0. However, these techniques are not suitable for a series of order 2 or I(2) (Luqman and Antonakakis 2021; Luqman and Soytas 2022). Therefore, this paper conducts the ADF and PP unit root tests (Dickey and Fuller 1979; Phillips and Perron 1988) and the results are reported in Table 4.
Table 4
level
|
1st Difference
|
|
P-P
|
ADF
|
P-P
|
ADF
|
lfd
|
1.34
|
1.47
|
4.31*
|
4.54*
|
lre
|
2.36
|
2.31
|
3.97**
|
4.12*
|
lu
|
2.54
|
2.61
|
5.25*
|
5.31*
|
ly
|
2.31
|
2.27
|
5.43*
|
5.47*
|
lco2
|
2.76
|
3.12
|
4.56*
|
4.43*
|
Note: * and ** denote that the variables are significant at 1% and 5%. |
The outcomes indicate that none of the underlying factors are of order I(2). Considering the trend and intercept assumptions, the PP test results show that all series are stationary at the second difference. Prior to running the regression models, we assess whether the data series exhibit linearity or nonlinearity. Using the Bound test for independence proposed by Pesaran et al. (2001), we confirm the presence of nonlinear patterns in the variables under consideration. The findings in Table 5 reveal that each underlying variable is nonlinearly dependent across all embedding dimensions. We employ the FPSS test recommended by Shin et al. (2014) and find that the FPSS values in Table 5 are statistically significant at the 1% level, as per Pesaran et al. (2001). Thus, we conclude that the long-term asymmetry exists in the relationship between China's lre, ly, lur, lfd, and lco2.
The Wald test has been utilized to identify the long and short-run asymmetric relationship. The results provided in Table 6 show that for all variables, the null hypothesis (that there is no asymmetry in either the long- or short-run coefficients, respectively) is rejected. This result suggests that renewable energy production responds asymmetric and nonlinear manner with all variables under investigation. In line with this, our empirical results support the applicability of the selected model.
In the short-run analysis reported in Table 7, a statistically significant positive shock to financial development(lf) is observed, indicating an inelastic relationship with renewable energy production (lre) with a coefficient of 1.27. This finding suggests that China's short-term financial development will increase by 1.07% for every 1% rise in renewable energy production at lag 1 (Wu et al. 2022).
Furthermore, a positive shock to urbanization (lur) exhibits a positive and significant short-run impact on renewable energy production (lre) at lag 0. The relationship is inelastic and substantial at the 1% level, indicating that urbanization can lead to a 2.57% increase in renewable energy production in the short term for every 1% increase at lag 0. Similar results have been found for Pakistan Jafri et al. 2021).
Conversely, short-term negative shocks to CO2 emissions (lco2) are negatively associated with past negative shocks to renewable energy production at lag 1. This result suggests that increasing the utilization of renewable energy in productive activities can lead to a reduction in CO2 emissions in China, thereby benefiting environmental pollution reduction in the short run. These findings contrast with the results of Asif et al. (2020) as they found a negative relationship between CO2 emissions and growth in Pakistan.
Our results recommend that renewable energy be utilized to promote economic growth in China, as it can help address energy shortages. However, caution should be exercised in effectively deploying renewable energy (lre) across different industrial sectors through appropriate channels. Additionally, in terms of economic growth (ly), positive shocks significantly and positively influence renewable energy production (lre) in short-run, with a coefficient of 1.53 at lag 1. This result conflicts with the findings of Luqman et al. (2021) but aligns with the findings of Baz et al. (2021).
Overall, our study provides compelling evidence for emphasizing the importance of promoting renewable energy use for sustainable development. This finding implies that renewable energy production exhibits asymmetric and nonlinear behavior. Consequently, our empirical results support the application of the asymmetric NARDL model. Subsequently, we conduct diagnostic tests to evaluate the authenticity of our proposed model.
The findings presented in Table 8 provide insights into the long-term relationship between urbanization (lur) and renewable energy production (lre) in China. It has been noted that the impact of urbanization on renewable energy production is favorable and inelastic and statistically significant. In this case, a 1% change in urbanization rises 1.31% change in renewable energy production in China. We report that urbanization has a positive influence on renewable energy sector. Our results are in line with previous studies conducted in Europe (Al-Mulali et al. 2015). However, it is noteworthy that our findings contradict the results of Ke et al. (2022). In the case of China, they discovered a negative relationship between positive shocks in renewable energy output and urbanization. This disparity underlines the need for more study to better understand the complicated dynamics of urbanization and renewable energy generation in various circumstances.
Table 8 shows that increasing renewable energy production has a considerable, positive, and inelastic long-term influence on financial development. China's financial development is expected to expand by 6% for every 1% increase in renewable energy generation, according to the predicted long-run coefficient. This conclusion is consistent with previous research on the Pakistani economy (Kim and Park 2016; Miao et al. 2022; Usman et al. 2022). It contradicts the findings of Baz et al. (2021). As a result, any positive shock to China's renewable energy production is predicted to stimulate financial development and development. Our findings give solid evidence that a rise in renewable energy output has a considerable, positive, and inelastic long-term influence on financial development. This discovery is consistent with past studies in the subject. Ji and Zhang (2019)found that an increase in renewable energy consumption positively influenced financial development, indicating a beneficial impact of renewable energy on the financial sector. This supports our finding of a positive long-term impact of renewable energy production on financial development. Additionally, Al-mulali and Binti Che Sab (2012) conducted a study on South Asian economies and found a positive association between renewable energy consumption and financial development, indicating that renewable energy plays a significant role in promoting financial development in the region. This aligns with our findings of a positive impact of renewable energy production on financial development. By referencing these studies, we provide robust empirical support for our findings regarding the positive and inelastic long-term impact of an increase in renewable energy production on financial development. These studies contribute to the existing body of literature, strengthening the validity and reliability of our research conclusions.
Table 8 displays the coefficients of economic growth (ly) in relation to renewable energy production (lre), revealing diverse signs and magnitudes. These findings indicate that lre asymmetrically affects economic growth. This implies that policymakers and government officials should prioritize renewable energy sources in order to mitigate environmental damage.
To achieve this, it is crucial to promote the generation of power from renewable sources and focus on implementing the latest energy-saving technologies. Additionally, facilitating licensing processes, business establishment, acquisitions, and grid connections for investors is important. Failure to promote renewable energy production can have a substantial negative impact on long-term economic growth, as indicated by our results. These findings support the findings of Pao and Fu (2013); Luqman et al. (2019) and Saidi and Omri (2020), who identified a negative correlation between positive shocks in renewable energy consumption and economic growth in China.
However, our results differ from those of Apergis et al. (2010); Saidi and Ben Mbarek (2016), who observed a positive long-term connection between positive shocks in renewable energy production and economic growth. To achieve sustainable growth in the long run, it is essential for the government and policymakers to monitor financial development investments and support relevant policies. It is worth noting that a negative shock to economic growth significantly and positively affects China's long-term energy production. Consequently, a decrease in lre would lead to an increase in long-term economic growth. These findings align with similar observations made regarding the Indian economy by Aydin and Turan (2020).
Figure 2 illustrates the significant asymmetry in the response of renewable energy production (lre) to shocks in urbanization (lur), financial development (lfd), economic growth (ly), and CO2 emissions (lco2). Each graph in Fig. 2 confirms this asymmetry. The empirical findings reveal that the cumulative effects of a relaxation or negative change in lre outweigh those of a contraction or positive change in lre. Notably, positive shocks to lre have a slight positive impact on ly. These results demonstrate the interconnected relationship between lre, lfd, lur, lco2, and ly in China.
Table 5
Dependent variable
lre
|
F-Statistic
|
Critical values of (Pesaran et al., 2001)
|
Outcome
|
I(0
|
I(1)
|
Linear ARDL
|
2.69
|
2.03
|
3.13
|
Not Co-integrated
|
Nonlinear ARDL
|
4.74
|
Co-integrated
|
Table 6
Variable
|
WLR
|
WSR
|
F-statistic
|
F-statistic
|
ly
|
1.602**
|
0.79*
|
lur
|
0.073*
|
0.54*
|
lfd
|
0.91*
|
1.37*
|
lco2
|
0.98*
|
0.84*
|
Note: *, ** denote for 1% and 5% significance level. Wsr and WLR denote for short and long−run asymmetries. |
Table 7
Estimated coefficient (Adj-R2 = 0.62)
|
Explanatory variable
|
Coefficient (standard error)
|
Explanatory variable
|
Coefficient (standard error)
|
lre (-1)
|
-0.209(-2.01)
|
Dlre (-1)
|
-0.0773(-0.39)
|
lfd+ (-1)
|
-1.271*(-2.46)
|
Dlfd+ (-1)
|
1.074*(2.18)
|
lfd−(-1)
|
-0.588(-0.72)
|
Dlfd−(-1)
|
0.451(0.60)
|
lur+(-1)
|
2.578*(2.53)
|
Dlur+(-1)
|
-3.766(-0.42)
|
lur−(-1)
|
-9.484(-0.21)
|
Dlur−(-1)
|
8.418(0.07)
|
lco2+(-1)
|
-0.0862(-0.13)
|
Dlco2+(-1)
|
-0.0373(-0.70)
|
lco2−(-1)
|
0.0122*(2.72)
|
Dlco2−(-1)
|
-0.0434(-0.73)
|
ly+(-1)
|
1.531*(2.69
|
Dly+(-1)
|
-0.364(-0.23)
|
ly−(-1)
|
2.716*(2.18)
|
Dly−(-1)
|
-0.670(-1.15)
|
C
|
0.402(1.54)
|
......
|
…….
|
Note: * and ** denote that the variables are statically significant at 1% and 5% level. |
Table 8
Explanatory Variable
|
Long-run effect [+]
|
Long-run effect [-]
|
Coefficient
|
F-statistic
|
Coefficient
|
F-statistic
|
lfd
|
6.07**
|
4.88
|
2.81
|
0.69
|
lur
|
1.31**
|
4.904
|
4.31
|
.045
|
ly
|
7.31**
|
3.111
|
-2.97**
|
3.96
|
lco
|
-0.04
|
0.06
|
-0.06
|
2.05
|
Note: * and ** denote for 1% and 5% significance level. |
Table 9
Test
|
statistics
|
P-value
|
Durbin Watson
|
2.27
|
0.00
|
Jarque-Bera test on normality (chi2)
|
476.6
|
0.00
|
Breusch/Pagan heteroskedasticity
|
144.1
|
0.07
|
Ramsey RESET test (F)
|
102.3
|
0.00
|
Source: authors evaluations.