4. Findings and Discussion
This section presents the empirical findings obtained from the methodological procedures outlined above. Specifically, the results seek to answer four key research questions posed in the introduction. To address these questions, the section initially presents the descriptive statistics, the results from cross-sectional dependence and slope homogeneity tests, followed by the outcomes of unit root and cointegration analyses. Subsequently, long-run coefficient estimates from AMG, FMOLS, and DOLS methods are interpreted, and the section concludes with a detailed discussion of causal relationships among the variables and their policy implications.
Table 2 presents descriptive statistics, summarizing key characteristics of the panel dataset utilized in this study, which covers 13 countries over the period from 1992 to 2020. The descriptive statistics inform the subsequent methodological steps by highlighting key characteristics of the dataset that require special consideration. Specifically, the significant deviations from normality identified through the Jarque–Bera test for variables such as lnGF and lnFGL indicate potential outliers or non-linearities. Additionally, the varying levels of skewness and kurtosis, especially the high kurtosis in lnGF and lnFGL, suggest heterogeneity across the panel.
Given these statistical features, the next step of the methodology—testing for cross-sectional dependence and slope homogeneity—is critical. Identifying cross-sectional dependence is important due to potential spillover effects or common shocks across countries, while testing for slope homogeneity is essential to determine whether the relationships among variables differ significantly across countries. Furthermore, these preliminary findings reinforce the necessity of employing second-generation unit root and cointegration tests, as well as robust estimators such as the AMG estimator, which effectively address data heterogeneity, cross-sectional dependence, and potential endogeneity issues identified in the descriptive statistics.
Table 3 presents the correlation matrix illustrating the strength and direction of linear relationships among the variables analyzed. Contrary to theoretical expectations, the results show that green finance (lnGF) and green growth (lnGGDP) exhibit positive correlations with ecological footprint (lnEF), at 0.030 and 0.547, respectively. This finding suggests that, in this preliminary analysis, increases in green finance and green growth unexpectedly coincide with a higher ecological footprint.
On the other hand, the findings align with theoretical predictions for economic growth (lnGDP = 0.415), financial globalization (lnFGL = 0.241), and capital formation (lnCAP = 0.058), which all display positive correlations with ecological footprint. The correlation values among independent variables remain relatively low (all below 0.25), indicating minimal multicollinearity concerns. This supports their combined use in subsequent econometric procedures.
The results of Pesaran’s CD test, used to examine the presence of cross-sectional dependence among the variables, are reported in
Table 4. The CD-test statistics and corresponding p-values reveal significant cross-sectional dependence for each variable at the 1% significance level (p-value = 0.000). According to these results, the null hypothesis of no cross-sectional dependence is rejected for all variables, confirming significant cross-sectional dependence within the panel. This implies that a shock occurring in one country can potentially propagate and affect other countries within the panel.
The results of slope homogeneity tests developed by Pesaran and Yamagata and Blomquist and Westerlund are presented in
Table 5. According to these findings, the null hypothesis of slope homogeneity is rejected, indicating that slope coefficients differ significantly across countries. This implies that the analysis allows for the use of estimation techniques suitable for heterogeneous panel data, which are capable of capturing variations in slope coefficients across countries—an important consideration given the structural and policy differences among the 13 nations analyzed.
To assess the stationarity properties of the variables, Pesaran’s CADF test is applied under both constant and constant-trend specifications. The unit root test results, presented in
Table 6, indicate that none of the variables are stationary at level, but all become stationary after first differencing. This confirms that the variables are integrated of order one, I(1). Establishing the same order of integration across variables is essential for proceeding with cointegration analysis in the next step.
The results of the unit root analysis allowing for the application of the Kao, Pedroni, and Westerlund cointegration tests. The empirical findings, shown in
Table 7, provide robust evidence in favor of cointegration among the variables, as the null hypothesis of no cointegration is rejected in most cases. In the Westerlund test, two of the four test statistics—Gt (–9.076, p = 0.000) and Pt (–15.393, p = 0.000)—are statistically significant at the 1% level, indicating strong evidence of cointegration. Although the Ga and Pa statistics are not significant, the significant Gt and Pt values are sufficient to support the presence of a long-run relationship. The additional variance ratio test also supports cointegration at the 5% level (–1.668, p = 0.047).
Similarly, the Pedroni test results show that the Phillips-Perron t-statistic (–8.311) and the Augmented Dickey-Fuller t-statistic (–8.625) are highly significant at the 1% level (p = 0.000), confirming cointegration. Although the modified Phillips-Perron t-statistic is not significant, the strong results from the other two tests reinforce the cointegration evidence. The Kao test further supports these findings, with the modified Dickey-Fuller t-statistic (–5.614), Dickey-Fuller t-statistic (–5.854), and unadjusted Dickey-Fuller t-statistics (–13.518 and –8.145) all significant at the 1% level. Only the Augmented Dickey-Fuller t-statistic (–0.220, p = 0.413) fails to reject the null, but the overall evidence remains overwhelmingly in favor of a long-run relationship.
These results confirm the existence of a cointegrated system among green finance, green growth, economic growth, financial globalization, capital formation, and ecological footprint. This implies that these variables move together over the long term and that any disequilibrium is likely to be temporary. Establishing cointegration justifies the estimation of long-run coefficients and allows for meaningful interpretation of both the direction and magnitude of these relationships.
The findings obtained from the AMG estimator, which was applied to estimate the long-run coefficients of the model variables, are presented in
Table 8. The coefficient for green finance is found to be –0.023 and statistically significant, indicating that a 1% increase in green finance leads to a 0.023% decrease in the ecological footprint. This result suggests that green finance plays a meaningful role in reducing environmental degradation, reinforcing its position as an environmentally friendly financial mechanism.
This outcome implies that the countries included in the study have made significant progress in green financial development, actively prioritizing environmentally responsible financing practices as a means of addressing ecological challenges. The finding aligns with theoretical expectations and is consistent with previous empirical research. In particular, it supports the results of Tariq and Hassan [
80], who examined 70 countries using the GMM approach, and Udeagha and Ngepah [
81], who analyzed environmental sustainability determinants in BRICS countries using the CS-ARDL method and Jóźwik et al.[
82], who analyzed the USA and leaders of nuclear energy consumers [
83] . These parallels reinforce the credibility and generalizability of the current study’s results in the broader literature on green finance and environmental sustainability.
In the long run, the coefficient for green growth is found to be –0.133 and statistically significant, indicating that a 1% increase in green growth leads to a 0.133% reduction in the ecological footprint. This negative relationship suggests that green growth contributes to lowering environmental degradation, confirming the effectiveness of green growth practices in the sampled countries. These findings highlight those policies focused on green growth—such as improving CO₂ productivity, promoting renewable energy efficiency, and adopting cleaner technologies—have yielded substantial environmental benefits. The result is consistent with Lin and Ullah [
25], who, using ARDL and DOLS methods, found that green growth reduces CO₂ emissions in Pakistan in both the short and long run. Further support comes from Lin and Ullah [
84], who employed the DARDL approach and confirmed a long-run negative relationship between green growth and environmental degradation, reinforcing the present study’s conclusion.
Conversely, the coefficient for economic growth is 0.359 and statistically significant, meaning that a 1% increase in economic growth results in a 0.359% rise in the ecological footprint. This suggests that, for the countries analyzed, higher levels of economic activity are associated with greater environmental pressure. This finding supports the view that economic growth—particularly when driven by industrial production and increased energy consumption—can lead to higher demand for fossil fuels, thus exacerbating environmental degradation. The result aligns with Luo et al. [
85], who found that economic growth intensifies environmental pollution in low- and middle-income Asian countries, based on panel MG estimations. However, it contrasts with the findings of Qamri et al. [
86], who reported that economic growth reduces environmental pollution in a study of 21 Asian countries, highlighting the regional and structural differences that may influence the nature of this relationship.
Another important long-term finding is that financial globalization has a positive and significant coefficient of 0.237, suggesting that a 1% increase in financial globalization leads to a 0.237% increase in the ecological footprint. This result indicates a positive relationship between financial globalization and environmental degradation, implying that increased financial integration—through foreign direct investment or cross-border capital flows—may be contributing to pollution, especially if financial resources are allocated to high-emission or resource-intensive industries. This outcome highlights a potential unintended consequence of financial openness, where environmental considerations may be secondary to economic or investment objectives. The result is consistent with the findings of Ahmad et al. [
87], who, using CS-ARDL and CCEMG techniques, showed that financial globalization negatively impacts environmental quality in G-11 countries.
In addition, the capital formation coefficient is also positive and significant, with a value of 0.202, indicating that a 1% increase in capital leads to a 0.202% increase in the ecological footprint. This result suggests that capital accumulation contributes to environmental degradation by driving up production, industrial activity, and demand for energy—particularly fossil fuels. As capital investment often supports infrastructure and manufacturing expansion, it may unintentionally raise environmental pressure if not directed toward sustainable or low-carbon projects. This finding is in line with the results of Mujtaba et al. [
30], who observed a similar relationship in OECD countries, and Li et al. (2023), who reported that capital formation exacerbates ecological footprints in G20 economies. It should be added, however, that Capital formation, particularly through foreign direct investment (FDI), can influence the environment in both positive and negative ways [
88]. Together, these results underscore the need for environmentally conscious investment strategies, even in the context of economic development.
The findings of the FMOLS and DOLS estimators, which are employed to verify the robustness of the AMG long-run estimates, are presented in
Table 9. Both estimation techniques yield results that are consistent with the AMG findings, thereby reinforcing the reliability and stability of the empirical results. Specifically, green finance and green growth are found to have a negative and significant impact on the ecological footprint, indicating their effectiveness in mitigating environmental degradation. In contrast, economic growth, financial globalization, and capital formation exhibit positive and significant coefficients, confirming their roles in increasing the ecological footprint and contributing to environmental pressure.
Although the AMG, FMOLS, and DOLS estimators provide valuable insights into the long-run effects of each independent variable on the ecological footprint, they do not offer evidence regarding the direction of causality between variables. To address this, the Dumitrescu-Hurlin panel bootstrap causality test is employed, and the results are presented in
Table 10.
The causality analysis reveals several important findings. First, there is unidirectional causality running from green finance to the ecological footprint, indicating that changes in green finance Granger-cause changes in environmental sustainability. This result is consistent with Numan et al. [
22], who found similar evidence in their study of 13 countries. Second, the results indicate a bidirectional causality between green growth and ecological footprint, suggesting a mutual relationship in which green growth affects environmental outcomes, and environmental pressures may also influence the adoption of green growth strategies. This aligns with the findings of Ahmad and Wu [
43] for OECD countries and Lin and Ullah [
84], who reported a similar two-way relationship between green growth and CO₂ emissions in Pakistan.
Additionally, the analysis shows that economic growth causes the ecological footprint, confirming that rising income levels contribute to environmental degradation. This result is in line with Bakry et al. [
23], who documented a similar causal effect across 76 developing countries. Moreover, a unidirectional causality is identified from financial globalization to ecological footprint, highlighting the environmental consequences of increased financial openness. This finding supports the results of Wang et al. [
89], who observed the same direction of causality for countries involved in the One Belt One Road (OBOR) initiative.
Finally, the results show a one-way causality from capital formation to the ecological footprint, suggesting that increases in capital accumulation drive environmental degradation. However, this finding contrasts with Li et al. [
24], who found no causal relationship between capital and ecological footprint, indicating that the effect of capital formation on environmental outcomes may vary depending on the country group or methodology used.