The Breusch–Pagan test for heteroscedasticity was run to see if the error term’s variance is the same for all possible settings of the independent variables. There is insufficient evidence to establish that the variance of the error term is not constant, as suggested by the test results. This provides support for the interpretation that the homoscedasticity assumption is not broken here. Further, to check for first-order autocorrelation in the regression’s error term, we used the Wooldridge test for autocorrelation. The test findings imply that the evidence for a correlation between the regression’s mistakes is insufficient. This provides support for the interpretation that the premise of independence is not broken here.
According to the results of the regression study (Models 1 and 2), TRO, URB, RSD, and FND are all statistically significant predictors of carbon emissions, whereas GRI brings down the amount of carbon emissions
Kao’s cointegration analysis was run after removing cross-sectional means. The findings demonstrate that at the 0.0002 level of significance, the adjusted Dickey–Fuller t statistic is −3.6044. Therefore, we can rule out the possibility that there is no cointegration. The modified Dickey–Fuller t statistic is more significant than the original Dickey–Fuller t statistic, but both are significant. We also performed a Pedroni cointegration test. The outcomes reveal that at the 0.0004 level of significance, the Phillips–Perron t statistic is −3.3558. As a result, we can also rule out the possibility that there is no cointegration. As is typically the case, the enhanced Dickey–Fuller t statistic fails to reach statistical significance. As with previous cointegration tests, the enhanced Dickey–Fuller test has been shown to have limited reliability. We also ran the Westerlund cointegration test. At the 0.05 level of significance, the data demonstrate that the variance ratio is −1.3179. That is why it is impossible to rule out the possibility that there is no cointegration. In conclusion, there appears to be cointegration between GDP, investment, and consumption according to the findings of the cointegration tests. This indicates a long-term association between the two variables. The Westerlund cointegration test suggests, however, that this may only be the case in the long run, and that the connection between these variables may be unstable in the short term.
The findings from the MM-QR analysis demonstrate the influence of variations in the independent factors on the dependent variable (CO2 emissions) across several geographical areas. The coefficients in question exhibit varying economic implications, as certain factors demonstrate considerable impacts while others do not. The interpretation of coefficients and their respective directions can provide valuable insights into the interactions between variables and their economic consequences within different geographical contexts.
While the “Scale” coefficients have diverse economic implications, a majority of factors do not demonstrate statistically significant impacts on the dependent variable collectively. The coefficients of significance and their corresponding directions of effect provide valuable insights into the linkages between variables and their possible economic ramifications in different geographical locations.
4.2. Discussion
The findings indicate that increased trade openness (TO) leads to a worsening of carbon emissions (CO
2) in BRICS countries. The results specify that a 1% rise in openness to trade cause to a corresponding increase in carbon emissions in the model. The findings confirm that increasing trade with a certain level of openness will have a substantial impact on CO
2 emissions. Additionally, a significant increase in CO
2 emissions can be attributed to the expansion of production capacity, which leads to a larger scale of international trade and worsens the negative effects in the import sector. These findings align with the studies conducted by [
78,
79]. This suggests that countries with high energy consumption in their industrial methods generate a substantial quantity of economic output. Consequently, the data demonstrate that a significant increase in production scale outweighs the advantages gained from technological advancements and changes in composition due to global commerce, leading to an increase in carbon emissions. Trade promotes the adoption of environmentally friendly and sophisticated creative technology in emerging nations, such as BRICS countries, leading to improvements in the standard of life and economic growth, as suggested by the theoretical literature. However, these trade activities consist of outdated technologies from industrialized nations that contribute to the use of polluting energy sources (non-renewable sources) and release significant amounts of carbon emissions.
From an elasticity standpoint, a long-term drop in CO
2 emissions is observed for each percentage point increase in the urbanization rate of BRICS countries. The consistent correlation between urbanization and negative consequences on CO
2 emissions demonstrates the strength and reliability of the findings. The long-term coefficients of urbanization rates show a significant negative impact on carbon emissions, suggesting that urbanization has a restraining effect on carbon emissions. However, this effect is relatively weak. This could be due to the “agglomeration effect” caused by urbanization slightly outweighing its “consumption effect”. Furthermore, it indicates that the scale effect of urbanization helps reduce resource consumption intensity and carbon emissions. Urbanization has been found to have an impact on economic growth and diminish its ability to promote carbon emissions. This could be attributed to the dissemination of information and the upgrading of industries that come with urbanization [
80]. Consequently, this leads to the development of environmentally friendly economic growth and a reduction in carbon emissions [
81]. Urbanization has been found to have an impact on energy intensity and diminish its positive influence on carbon emissions. This could be attributed to the concentrated utilization of energy and the technological advancements that come with urbanization. Consequently, this leads to improvements in energy efficiency and reductions in carbon emissions [
82].
Regarding green innovation, it has been observed that a positive impact from green innovation does not have a notable influence on CO
2 emissions. However, a decrease in the negative impact of green innovation leads to a considerable increase in CO
2 emissions. This indicates that a 1% decrease in the impact of green innovation leads to a long-term increase in CO
2 emissions. Green innovation facilitates the reduction of energy consumption, and so contributes to sustainable growth by minimizing energy use. Thus, the study conducted by [
83] concludes that green innovation is not effective in lowering carbon emissions in BRICS countries. Green innovation can have a dual influence on carbon emission intensity. Green innovation facilitates the shift of production from low value-added and highly polluting industries to green industries with high value added. This promotes industrial upgrading and transfer, ultimately reducing the proportion of high-polluting industries in the overall economic output [
84]. Green innovation, which prioritizes energy conservation, emission reduction, and cleaner production, directly and clearly contributes to the promotion of low-carbon development. Green innovation can facilitate the transformation of industries and enhance their capacity to absorb and implement large-scale changes. It also promotes the upgrading of industrial systems at a technological level. In addition, the BRICS countries have effectively managed carbon emissions resulting from consumption by implementing green innovations and improving energy efficiency. This has contributed to the achievement of sustainable growth goals, as highlighted by [
85]. Moreover, energy efficiency and green innovation can play a substantial role in addressing environmental pollution. Moreover, green technologies are essential for ensuring the sustainable development of economic, social, and energy systems, as well as reducing carbon emissions in the economy.
Simultaneously, the opposing viewpoint argues that the evidence of resource depletion indicates a favorable and substantial influence on carbon emissions (CO
2) in BRICS countries. The findings pertain to resource depletion, which suggests that the utilization of natural resources leads to environmental degradation and an increase in carbon dioxide (CO
2) emissions in BRICS economies. The removal of natural resources is generally regarded as the main cause of environmental deformation. In their study, Ref. [
86] investigated the influence of a human capital index and natural resource depletion on environmental deterioration. The results indicate that the depletion or overexploitation of natural resources leads to significant environmental damage. Natural resources are substances utilized to enable economic activity and direct consumption in order to fulfill various human requirements. The extensive utilization of natural resources not only impacts production efficiency but also exacerbates environmental degradation. In response to the depletion of resources, governments also provide subsidies for fuel usage, which cause a rise in CO
2 emissions [
87]. This signifies the unviable utilization of natural resources in the BRICS nations. The findings of [
88,
89] are supported by our results. In addition, they confirm the negative impact of natural resource rent in BRICS countries. The environmental impact of natural resource extraction may be confirmed, as mining activities directly stimulate economic growth, resulting in a rise in CO
2 emissions. According to [
90], the ongoing encouragement of fossil fuel exploration and production has led to a substantial rise in pollution. Throughout the years, the construction of coal power plants that release a significant number of pollutants has been a major factor in the increase of carbon emissions. As per [
91], the overconsumption of natural resources during the process of industrialization will lead to a significant rise in pollution levels. In addition, Ullah et al. [
92] advised that excessive utilization of natural resources can result in significant environmental issues, such as deforestation and global warming. Wang et al. [
93] contended that the misuse of natural reserves can cause the countries being reliant on energy imports. The BRICS countries rely on energy imports instead of utilizing clean energy sources, and they depend on the unsustainable exploitation of natural resources to meet their economic objectives. This study focused on the correlation between natural resource rents and CO
2 emissions, considering the challenges presented by a change in climate and the diminution of natural reserves nationwide. Consequently, the discoveries from this research can be used as a basis for developing guidelines for the management of natural resources and the environment.
This study examined the adverse effects of the BRICS nations’ rapid economic growth on the their countries’ environmental degradation, specifically in terms of reducing CO
2 emissions. The initial sub-panel provides an account of the impact of specific variables on the emission levels within the relevant group. The findings suggest that a one-unit gain in GDP in BRISC countries would cause a decline in carbon emissions. As the economy grows, individuals’ expectations escalate, leading to a subsequent surge in pollution, waste generation, and environmental degradation [
94]. The energy infrastructure of BRICS countries relies on economic development. Experts should substitute these outdated technologies with more advanced and environmentally friendly alternatives that effectively protect our natural resources, reduce our carbon emissions, and address environmental issues. BRICS sectors rely heavily on fossil fuels, which contribute to both environmental harm and economic growth. As a result, economic progress in these industries leads to an increase in CO
2 emissions [
95]. According to a study by [
96], Bangladesh’s emissions have started to rise due to the connection between growing oil consumption and the expansion of infrastructure, formation of commerce, and economic capitalization. These factors all contribute to the benefits of investment and firm output. Furthermore, this phenomenon is mostly attributed to fundamental economic changes, such as the move from agrarian to industrial pursuits. The economy of BRICS countries is undergoing a transition towards the industrial sector, which has high energy consumption. Elevated economic growth is correlated with heightened environmental degradation [
39]. Consumption and development activities contribute to the satisfaction of growing societal requirements, but they also lead to higher levels of pollution, waste, and environmental deterioration. Consequently, economic activities seem to be compatible with both environmental conservation and development, rather than creating a persistent risk to environmental quality.
The data indicate that financial development has a considerable and favorable impact on environmental degradation in the long term. Over time, a 1% rise in financial development leads to a corresponding increase in CO
2 emissions, which aligns with the findings of [
97]. Our findings suggest that in the developing regions of BRICS nations, the financial sector generates scale effects through the provision of loans, which in turn stimulate economic activities. The financial sectors in emerging nations are not focusing on energy-resourceful and green initiatives. As a result, the uncontrolled and unplanned capitalization in these sectors is having a negative impact on the environment. Various researchers have demonstrated that the quality of institutions positively impacts financial development [
98]. Enhancing institutional quality facilitates the reorganization of the financial system to optimize its operational efficiency. Therefore, the poor quality of institutions is a contributing factor to the harmful effect of financial growth on the environment in developing economies of the BRICS nations. The findings corroborate the assertion by [
99] that increased access to credit empowers customers to purchase energy-intensive machinery and automobiles. Domestic credit provided by the financial sector and broad money had a positive and statistically significant influence on carbon emissions. The finding aligns with the observation made by [
58] that financial development leads to an increase in both the quantity and size of manufacturing activities in the country by providing more financial support to domestic companies. This, in turn, results in negative consequences, such as land degradation, pollution, and carbon emissions.
The results of the analysis on institutional quality indicate that a 2% rise in the INQ leads to a corresponding increase in CO
2 emissions in BRICS countries. The findings on institutional quality indicate that the laws and regulations pertaining to the environment have limited effectiveness in analyzing economies. This demonstrates that the rising regions are facing environmental degradation as a result of inadequate institutional performance and ineffective environmental protection practices. The efficiency of institutions has a significant impact on the economic activity of these nations, which can be measured on a scale. Increasing institutional quality has the potential to enhance economic production, attract additional trade and financial activities, and decrease inequality, hence amplifying the impact on CO
2 emissions. In addition, environmental sustainability is enhanced when national institutions are adequately enhanced to adhere to environmental laws and rules. Government may prioritize indicators such as the political and authorized framework, adequate financial resources, accessibility of feedback procedures, and proactive people who promote community contribution in order to maximize the value derived from open government data (OGD) for addressing societal challenges. This approach aims to improve institutional excellence and improve overall environmental quality, similar to the findings of [
100] for the 47 Emerging Market and Developing Economies.
Those findings indicate that the various indicators of financial development, such as financial assets, financial efficiency, financial depth, domestic credit to banks, and domestic credit to private entities by banks, have both negative and positive effects on CO
2 emissions. These effects are consistent across all measures of financial development. This suggests that the coefficient estimates, as well as the financial efficiency measures used, yield significant and consistent results with a negative sign. This study establishes that the level of financial efficiency has a notable and adverse effect on the emissions of carbon dioxide (CO
2). Financial efficiency in BRICS countries has a favorable impact on improving environmental quality and promoting environmental cleaning. The outcome we obtained aligns with the conclusions established by Wang et al. [
101] about Kenya and by Akram et al. [
102] regarding other global areas. Still, our results do not align with the studies conducted by Khan et al. [
103] on Saudi Arabia, Hu et al. [
104] on Malaysia, Kalim et al. [
105] on China, and Zhao et al. [
106] on OBORI countries. Increased financial growth draws foreign direct investment (FDI), which might lead to a stimulation of research and development (R&D) activities in the respective regions. This scenario has the potential to stimulate investment endeavors, and so bolster economic expansion and perhaps influence the dynamics of environmental quality. Optimizing the administration of R&D in various places has the potential to improve the quality of the environment by minimizing CO
2 emissions. Furthermore, increased financial development might facilitate the distribution of financial resources towards enterprises aimed at environmental safety and reduce the burden of loan payments. Our findings align with the assertion by [
107] that a robust financial sector enables all levels of government to secure loans for environmentally focused projects. This, in turn, promotes the adoption of advanced technologies in various regions, leading to a substantial decrease in emissions within the energy sector and a significant improvement in environmental quality. Therefore, it is imperative to prioritize financial growth, as it can have a substantial positive effect on the quality of the environment by decreasing CO
2 emissions in BRICS countries. According to Abdul et al. [
108], bank savers find higher deposit rates particularly appealing, especially in developing and emerging nations. Banks can allocate a greater amount of capital towards business investments and lending to borrowers as a result of increasing savings. In addition to investing in financially lucrative enterprises, there is a growing interest from banks and other investors in supporting environmentally sustainable businesses [
109]. Therefore, it is understandable that our research reveals the influence of banking and fiscal sector activities on overall carbon emissions. In general, providing greater interest rates to savers across all economic sectors helps decrease overall carbon emissions. Conversely, a rise in domestic credit to the private sector ultimately worsens total carbon emissions. Likewise, the impact of financial development, as measured by liquid liabilities and domestic loans to the private sector by the banking sector, on carbon emissions is found to be negligible. The minimal impact of financial development, as measured by domestic credit to the private sector by the banking sector, on carbon emissions aligns with the conclusions drawn by Ameer et al. [
110]. Their research affirms that total credit has an inconsequential influence on carbon emissions. Moreover, previous research has demonstrated that financial development, as measured by liquid liabilities, is positively associated with energy consumption. The inadequate liberalization of the financial systems in BRICS nations is a significant obstacle to the ability of financial institutions to promote and facilitate the adoption of green technologies.