Analysis of the Dynamic Relationships among Renewable Energy Consumption, Economic Growth, Financial Development, and Carbon Dioxide Emission in Five Sub-Saharan African Countries

: This research investigates the relationships among renewable energy consumption, economic growth, and ﬁnancial development in ﬁve sub-Saharan African nations utilizing panel data from 2000 to 2020. Econometric methods are used to ascertain the existence or absence of cross-sectional dependence and the short-run and long-run connections between the following factors: Pesaran cross-sectional dependence (CD) and cross-sectionally augmented IPS (CIPS) unit root tests, pooled mean group (PMG), and dynamic ordinary least squares (DOLS) estimations. The presence of cross-sectional dependence is found and represented with the CIPS unit root test. No signiﬁ-cant short-run relationship is found between the variables of the study, yet a signiﬁcant long-run relationship is present among them. A positive relationship exists between CO 2 emissions and ﬁnancial development, while ﬁnancial development and renewable energy consumption are found to have negative relationships with CO 2 emissions. The study also supports the scale effect of the environmental Kuznets curve hypothesis. Additionally, no causality is found among the variables, and impulse response and variance decomposition estimation are carried out to recommend future effects. Policy implications of ﬁndings are discussed, with accompanying suggestions.


Introduction
Global warming is arguably among the most pressing problems affecting almost all countries of the world-developed, emerging, or developing alike [1]-due to its deleterious consequences on the environment [2].Global warming has often been attributed to carbon dioxide (CO 2 ) emissions onto the atmosphere, which has seen an astronomical increase in the last century.This increase [3] in CO 2 emissions from the 19th century to the 20th century is more than 30%.From 1990 to 2014 [4], countries in the Asia-Pacific region were the largest emitters of CO 2 globally, while Europe and other Eurasian countries played significant roles in the same period in CO 2 abatement.Developing countries also play a significant role in the level of CO 2 emissions globally [5], given their dependence on fossil fuels as sources of energy most of the time, which expose their environment to pollution [6].
Ref. [7] argue that the grave consequences of CO 2 emissions on the environment are the reasons several emerging studies in the energy-growth environmental sustainability literature focus on uncovering the determinants of CO 2 emissions.Ref. [8] believe that economic growth and energy consumption are the primary factors influencing the severity of CO 2 emissions in a country.Ref. [9] also corroborate the argument with their submission that about 1.4% of global emissions in 2011 were due to massive economic growth recorded globally that same year.These emissions spilled over to 2012, reaching a total of 34.5 billion tons.The maturity of the financial market, also referred to as financial development, is another important factor in CO 2 emission discourse [10], because it is a pointer to a country's investment into alternative energy sources-renewable energy for instance, that can enhance CO 2 abatement-or lack thereof.
This study is an attempt to explore the contribution of these factors-economic growth, renewable energy consumption, and financial development-to the level of CO 2 emissions in the five largest economies of sub-Saharan Africa based on nominal GDP: Nigeria, South Africa, Kenya, Ethiopia, and Ghana [11].These countries record high levels of economic activity due to their vast natural resources.For instance, Nigeria has the highest natural gas reserves and the second highest crude oil reserves in Africa.South Africa by far has the highest coal reserves in Africa.Ghana has the highest gold and timber reserves in the continent, while Kenya and Ethiopia have the highest installed renewable energy capacity in the continent as well.Overall, they contribute a large proportion of all CO 2 emissions from the region and shape the dynamics of the renewable energy industry in the region; thus, the rationale for choosing them as cases for this study.Ref. [12] corroborate this by asserting that the gas flaring within the Nigerian oil and gas industry contributes strongly to Africa's overall CO 2 emissions.Given the increasing levels of CO 2 emissions in sub-Saharan Africa by these countries due to their energy consumption patterns, one would expect that many studies contributing to the energy-growth environmental discourse in the last 5 years have examined the significance of renewable energy consumption in reducing carbon emissions in sub-Saharan Africa.However, many of the existing studies [13][14][15] have, at best, described the evolution of renewable energy consumption and CO 2 emissions in Africa.Thus, the extent of RE contributions to sustainability remains vague.
Overall, studies in the extant literature have reported varying and somewhat conflicting findings on the relationships among energy consumption, financial development, CO 2 emissions, and economic growth.Several studies also ignored the challenge of crosssectional dependence, despite countries in the panel being most probably heterogeneous and cross-sectionally dependent.
A larger proportion of the existing studies emphasized energy consumption more, without disaggregating the discussion in line with energy sources (i.e., fossil-based energy consumption or renewable energy consumption).This leaves a gap in understanding how renewable energy consumption affects CO 2 emission in both the short run and long run in sub-Saharan Africa.Also, the types of relationships existing among energy consumption, economic growth, financial development, and CO 2 emissions in the context of sub-Saharan Africa are rarely investigated.
This study, therefore, explores the short-run and long-run relationships among economic growth, financial development, renewable energy consumption, and CO 2 emissions in sub-Saharan Africa and empirically investigates the causality between economic growth, renewable energy consumption, carbon dioxide emissions, and financial development.This study considers the heterogeneity of case-study countries, given that the few panel studies within the extant literature mostly ignored the issue of cross-sectional dependence.This is despite the fact that nations in the panel are most probably heterogeneous and cross-sectionally dependent.
This research adds to knowledge in at least two ways: (i) homing in on the five largest economies in sub-Saharan Africa and discussing workable ways of improving environmental sustainability in the region, and (ii) contributing with an in-depth multiple econometric approaches-based analysis of the short-run and long-run linkages existing among these variables and the robustness of the relationships.
Subsequent sections of the paper include a literature review, model and methods, results, discussion and conclusions, policy implications, and policy recommendations.

Theoretical Model of Economic Growth and Carbon Dioxide Emissions
Research on the short-run and long-run connections between energy or electricity consumption, economic growth, financial development, and CO 2 emissions abound in the literature.While some of them are panel data analysis, others adopt time-series data.Few are even qualitative studies.These studies also have wide regional representations and varying outcomes-sometimes, outright conflicting results-about the relationship between economic growth and carbon dioxide emissions.These variations in findings have commonly been referred to as growth-CO 2 hypotheses.One of the most notable works in economic growth-CO 2 emissions literature is the environmental Kuznets curve (EKC), named after the Economics Nobel Laureate Simon Kuznets [16], who hypothesized that the relationship between the level of income and a measure of inequality in the distribution of income is an inverted U-shaped curve.However, the concept of EKC was fully developed in the 1990s by [17][18][19][20].
A bell-shaped relationship between inequality (proxied by the Gini index) and economic growth is explained by the EKC, which-as [21] also opine-is a hypothesized relationship between several parameters of per capita income and environmental degradation [22].The effective association of environmental degradation with Kuznet's work was made by [17][18][19], who also argued that the inverted U-shaped relationship between environmental degradation and economic growth could be explained under three distinct channels: composition effect, scale effect, and technique effect.Based on the composition effect, economic growth has a positive effect on the environment, thus decreasing carbon dioxide emissions.Other things remaining constant, at the early stages of a country's economic development, environmental pollution increases, as the economic structure is mainly built around agricultural production and more resource-intensive heavy manufacturing industries.However, later stages of economic development are heralded by a decrease in pollution as the structure moves toward service and light manufacturing industries.For the scale effect, economic growth leads to a negative impact on the environment because increased production will lead to increased pollution or emissions and environmental degradation.Finally, the technique effect argues that economic growth is usually characterized by the replacement of old and dirty technologies with cleaner ones that enhance the quality of the environment [22].Thus [21], basing his argument on the EKC, opines that the negative impacts of scale effects on the environment seem to be the major influence in the early stages of economic growth, while the positive impacts of composition and technique effects tend to reduce emission levels prevalent in the later stages of an economy.
We adopt the EKC as the theoretical model in this study because of its increasing importance and prediction that economic growth may be very crucial in solving the environmental problems of the future in the presence or absence of sound policy interventions [21].

Empirical Evidence on Economic Growth, Renewable Energy Consumption, Financial Development, and Carbon Dioxide Emissions
Ref. [22] investigated the effects of financial development, economic growth, and electricity consumption on CO 2 emissions in Kuwait, employing the autoregressive distributed lag (ARDL) bounds testing approach and the VECM Granger causality analysis.Their findings indicate that both short-run and long-run connections exist among the series.Additionally, the study reveals a unidirectional causality from economic growth and electricity consumption to CO 2 emissions and argues that increased deployment of renewable energy will reduce carbon emissions in Kuwait.Similar findings by [23] for the Turkish economy reveal that economic growth, financial development, and urbanization significantly and positively affect CO 2 emissions.The study also suggests that renewable energy consumption could reduce CO 2 emissions in the country if intensified.Again, their findings support the EKC hypothesis in Turkey.
A similar study by [24] buttresses the argument that in the long run, the major determinants of CO 2 emissions in Turkey are trade openness, energy consumption, financial development, and economic growth.Their study further validates the EKC hypothesis in the country and suggests a long-run unidirectional causal relationship from financial development, energy consumption, economic growth, and trade openness to CO 2 emissions.These findings on the Turkish economy are consistent with [25], who investigated the moderating role of economic growth and renewable energy consumption on CO 2 emissions.Ref. [26] adopted a nonlinear and asymmetric analysis to investigate the linkages between energy use, financial development, CO 2 emissions, and economic growth in Saudi Arabia.Their findings show that both positive and negative shocks in economic growth increase emissions in the long run.Further, both negative shocks in financial development and positive shocks in energy consumption raise the CO 2 emissions level in the long run.In the short run, their study also suggests that increasing economic growth is positively related to environmental pollution, while any reduction in economic growth would improve environmental quality.
According to [25], economic growth increases CO 2 emissions in Pakistan, while renewable energy consumption decreases it.Additionally, their study does not provide support for the EKC hypothesis.Ref. [27] agree that economic growth positively impacts CO 2 emissions in Pakistan but consider energy consumption as a whole (mostly coal, oil, and gas consumption) to be capable of increasing CO 2 emissions in Pakistan as well.
Ref. [28] suggest the promotion of renewable energy sources for energy in Pakistan.
A study by [29] on the Pakistani economy from 1990 to 2017 suggests a significant longrun positive interconnection between CO 2 emissions and gross domestic product (GDP) per capita.Their findings also indicate that energy use, fossil fuel energy consumption, and renewable energy consumption have negative effects on GDP per capita.While their distinction of renewable energy consumption and fossil fuel energy consumption is essential in explaining the energy consumption pattern that drives the economy the most, they failed to clearly explain why energy use is also categorized separately.They also argue that the effects of the series on GDP per capita are more significant in the long run than in the short run.
Ref. [10] explore the connection between energy consumption, financial development, CO 2 emissions, and economic growth in China from 1982 to 2017.The research applies the VECM and the innovative accounting approach (IAA).Their findings reveal a long-run connection between the four series.The study findings also indicate that energy consumption and financial development are significantly and positively related to CO 2 emissions, while economic growth increase could reduce CO 2 emissions in the long run.Ref. [30] also find a long-run connection between financial development, economic growth, and renewable energy consumption in India.Their DOLS estimation results further show that economic growth and financial development have significant positive effects on renewable energy consumption.Additionally, they argue that a bidirectional causal relationship exists between economic growth and renewable energy consumption in India.For Indonesia, Ref. [31] report that primary energy consumption, the growth rate of population, and economic growth increase CO 2 emissions, while renewable energy consumption reduces it.
Ref. [32] investigated the drivers of CO 2 emission in Tunisia using the ARDL bounds test, FMOLS, variance decomposition analysis, and principal component analysis.Their findings reveal that the interaction of financial development and urbanization reduces CO 2 emissions.The study also indicates that electricity consumption, primary energy use, and fossil fuel consumption positively affect CO 2 emissions, while electricity production from natural gas and flammable renewables and waste negatively impact CO 2 emissions.Ref. [33] also examined the link between CO 2 emissions, ICT, financial development, total factor productivity, energy consumption, and trade in Tunisia using the ARDL from 1975 to 2014.Their findings, like [32], reveal that energy consumption positively impacts CO 2 emissions.Additionally, they report trade and financial development to impact negatively on the environment, while ICT has no significant effect on CO 2 emissions in the north African country.Still, in Africa, Ref. [1] find similar evidence in their study of financial development and CO 2 emissions in Nigeria.Their findings indicate that financial devel-opment energy consumption and economic growth positively and significantly influence CO 2 emissions in the country.They further find a long-run interconnection among all the variables from 1971 to 2011, using the ARDL bound testing econometric approach.Similarly, Ref. [34] reports a unidirectional causal link from energy use to economic growth in South Africa, but also believes that at increased levels of economic development, energy consumption becomes less intensive in the country.
A global study of the relationship between CO 2 emissions, financial development, and renewable energy consumption was conducted by [27].With a sample of 192 countries and panel quartile regression technique, the results suggest that renewable energy consumption negatively affects CO 2 emissions, while financial development positively affects them.Additionally, they believe that a positive relationship exists between financial development and renewable energy consumption and that CO 2 emissions reduce renewable energy consumption, a potentially contestable submission.CO 2 emissions and the attendant negative impacts on the environment can be a motivating factor for the increased deployment of renewable energy, which, over time, begins to crowd out fossil fuel usage, which arguably causes the bulk of CO 2 emissions.A similar study of a panel of 122 countries by [35] explored the impacts of energy consumption, economic growth, and financial development on carbon emissions.Their research opines that financial development and economic growth reduce CO 2 emissions in developed countries within the sample, but increase the same in middle-and low-income countries.The study further reveals that energy consumption increases CO 2 emissions in the full sample.
In a study of the next 11 (N-11) countries, Ref. [36] examine the nexus between carbon emissions, renewable energy consumption, and financial development.Their findings suggest that financial development and carbon emissions are positively related, both of which could propel economic growth forward.In contrast, their study reveals a negative connection between carbon emissions and renewable energy consumption, implying that more utilization of renewable energy means fewer emissions and a movement towards achieving the objectives of the Paris Agreement.A similar study for the South Asian region by [37] argues that globalization contributes positively to CO 2 emissions.Adopting a fully modified ordinary least squares (FMOLS) estimation technique, the research also indicates a positive interconnection between nonrenewable energy consumption and environmental pollution, thus confirming the environmental Kuznets curve (EKC) hypothesis for the region for the period 1985-2018.Ref. [38] investigated the effects of financial development, economic growth, urbanization, and renewable energy on pollution in a sample of 23 European countries from 1990 to 2013.The panel data estimates and Pedroni cointegration results reveal a long-run interconnection between the variables.Also, the findings indicate that economic growth, financial development, and urbanization increase CO 2 emissions in these countries.
In the Gulf Cooperation Council (GCC) countries also, Ref. [39] believe that economic growth and electricity consumption are positively related to CO 2 emissions in the long run.Their findings also indicate a two-way causal link between economic growth and CO 2 emissions and a unidirectional causal relationship from electricity consumption to economic growth.Additionally, their findings reveal no causal link between CO 2 emissions and financial development.Ref. [40] add that the most dominant energy-growth relationship in GCC countries supports the feedback hypothesis, i.e., a bidirectional causal link between energy consumption and economic growth.Ref. [41] examined the causality and long-run connection between economic growth, CO 2 emissions, nonrenewable and renewable energy consumption, and financial liberalization in a panel of the Commonwealth of Independent States (CIS) region from 1992 to 2015.Their findings suggest a bidirectional long-run connection between all the series in all the member countries under CIS, save for the renewable energy consumption-economic growth nexus.
Additional findings reveal a unidirectional short-run causal relationship from financial openness and economic growth to CO 2 emissions, and from nonrenewable energy consumption to renewable energy consumption.For the 12 Middle East and north Africa (MENA) countries from 1980 to 2012, Ref.
[42] find a bidirectional causality between economic growth, CO 2 emissions, and renewable energy consumption.The study also shows that while economic growth could degrade the environment, renewable energy consumption reduces CO 2 emissions.Another study [43] of 24 countries in the MENA region using the panel vector autoregressive model (PVAR), impulse response function, and variance decomposition analysis suggests that renewable energy consumption and financial development have only mild impacts on economic growth and CO 2 emissions.The study further argues that financial markets and the renewable energy sector in the region are still nascent in having sizeable impacts on economic growth and environmental quality improvements.
Ref. [44] finds a long-run relationship between information and communication technology (ICT), financial development, energy consumption, CO 2 emissions, and economic growth in 12 Asian nations from 1993 to 2013.The study further argues that while economic growth and energy consumption have significant positive impacts on CO 2 emissions in these countries, ICT impacts CO 2 emissions negatively.Not least, there is unidirectional causality from financial development, economic growth, and energy consumption to CO 2 emissions.Ref. [5] also explored the effects of renewable energy consumption and economic growth on CO 2 emissions in 25 developing countries drawn from Africa (mainly), Europe, Asia, and the Americas.The study, which applies two-panel cointegrating regressions (DOLS and FMOLS) and Granger causality tests, suggests a long-run bidirectional causal relationship between CO 2 emissions, renewable energy consumption, and economic growth.Additionally, the findings suggest a significant positive relationship between economic growth and CO 2 emissions and that a rise in the size of renewable energy consumption reduces CO 2 emissions in these countries.
A study of 25 African countries from 1985 to 2015 adopting the Granger causality test and pooled mean group (PMG) approach by [45] reveals that increased renewable energy consumption reduces CO 2 emissions.Their findings further confirm the EKC hypothesis in Africa and bidirectional causality between CO 2 emissions, financial development, and economic growth.Ref. [46] studied 34 emerging economies in sub-Saharan Africa to explore the connection between urbanization, economic growth, fossil fuel consumption, environmental pollution, and renewable energy consumption.The study, which adopts the system generalized method of moment (GMM), submits that urbanization and fossil fuel consumption increase CO 2 emissions significantly and stimulate pollution in sub-Saharan Africa.The study further argues that EKC applies in the subregion and that increased renewable energy deployment decreases CO 2 emissions, thus enhancing air quality.A similar study [47] with a sample of 19 African countries suggests that while nonrenewable energy consumption encourages CO 2 emissions, renewable energy consumption reduces it.Their findings further indicate a unidirectional causal relationship from nonrenewable and renewable energy consumption to CO 2 emissions.These findings by [47] are somewhat contradictory to [48], who argue that both renewable and nonrenewable energy increase CO 2 emissions in 28 sub-Saharan African countries in the short run in their study covering 1980 to 2014.On another dimension, Ref. [49] suggests that energy consumption is crucial in promoting economic growth and financial development in sub-Saharan African countries.Table 1 below summarizes the demographics of the reviewed studies while highlighting their core attributes.
The review of literature overall shows that in-depth research has been conducted on the effects of financial development, energy consumption, and economic growth on CO 2 emissions.While there are varying findings to some degree, a larger number of these studies found that these variables led to an increase in CO 2 emissions in both the short run and long run.Despite the extensiveness of the extant literature, however, very few of these studies focused on how these relationships play out in the African context, on either an individual country basis or panel study basis.This suggests that more research in this area is needed for sub-Saharan Africa specifically, and Africa in general.Furthermore, most of the reviewed studies focused on energy consumption in its entirety, with little or no attention to the share of renewable energy in this consumption or the sources of the energy consumed.Indeed, some of the countries' energy consumption is solely based on fossil fuels.This leaves a gap in understanding how renewable energy consumption, on its own, affects CO 2 emissions in sub-Saharan Africa and beyond.Hence, the contributions of this study are hinged on making up for the loopholes in the literature discussed here.Another major flaw noticed in the few panel studies within the extant literature is that they mostly ignored the issue of cross-sectional dependence, despite nations in the panel being most probably heterogeneous and cross-sectionally dependent.

Materials and Methods
This study sought to investigate the relationship between economic growth, renewable energy consumption, financial development, and carbon dioxide emissions in selected sub-Saharan African countries: Nigeria, South Africa, Kenya, Ethiopia, and Ghana.For a better structural view of this study as we progress to the analysis, Figure 1  The review of literature, overall, shows that in-depth research has been conducted on the effects of financial development, energy consumption, and economic growth on CO2 emissions.While there are varying findings to some degree, a larger number of these studies believe that these variables lead to an increase in CO2 emissions in both the shortrun and long run.Despite the extensiveness of the extant literature, however, only very few of these studies focused on how these relationships play out in the African contexteither on the individual country basis or panel study basis.This suggests that more research in this area is needed for the Sub-Saharan African sub-region specifically, and Africa in general.Further, most of the reviewed studies focused on energy consumption in its entirety, with little or no attention to the share of renewable energy in this consumption or the sources of the energy consumed.Indeed, some of the countries' energy consumption is solely based on fossil fuels.This leaves a gap in understanding how renewable energy consumption, on its own, affects CO2 emissions in Sub-Saharan Africa and beyond.Hence, the contributions of this study are hinged on making up for the loopholes in the literature discussed here.Another major flaw noticed in the few panel studies within the extant literature is that they mostly ignored the issue of cross-sectional dependence, despite that nations in the panel are most probably heterogeneous and cross-sectionally dependent

Materials and Methods
This study seeks to investigate the relationship between economic growth, renewable energy consumption, financial development and carbon dioxide emissions in selected Sub-Saharan African countries -Nigeria, South Africa, Kenya, Ethiopia and Ghana.For a better structural view of this study as we progress to the analysis, fig 1 describes the steps and methods used in the study, i.e., an overall picture.The EKC hypothesis forms our theoretical framework, and thus we begin with the general functional model: where E represents the environmental indicator and Y 2 represents income.Z covers all other economic and noneconomic explanatory variables that may impact the environment, such as financial development and renewable energy consumption.To address the objective of this study, we adopt carbon dioxide emissions (CN), presented in natural logarithmic form, as our environmental indicator and include renewable energy consumption (REC) and financial development (FD) to understand how they impact carbon dioxide emissions and hence environmental quality.Income (Y) is referred to as per capita GDP in this study.Note that the EKC hypothesis is captured by the income variable in its quadratic form, i.e., Y 2 .Therefore, the estimated econometric model is given as: where α 1 represents the change in CO 2 emissions concerning a percentage change in renewable energy consumption, and an inverse relationship is expected between them a priori, given the evidence in the literature, and α 2 represents the elasticity measures of CO 2 emissions (CN) given the value of per capita GDP, as a positive connection is also expected between per capita GDP and CO 2 emissions.Financial development (FD) is also expected to positively affect CO 2 emissions, given the vast evidence supporting it.
Again, this research is structured in line with Salahuddin [40], who investigated renewable energy consumption and carbon dioxide emissions in the Gulf Cooperation Council (GCC) nations.However, the emphasis here is on the five sub-Saharan African nations mentioned above with the largest nominal GDP.To estimate the model stated in Equation ( 2), accompanying econometric tests were taken: (a) cross-sectional dependence (CD) test, to explore if a connection (or cross-sectional dependence) in residuals exists across panel (b) with cross-sectional dependence established across the panel, the Pesaran board unit root test is conducted to find out the order of integration of the variables (c) The Pedroni cointegration test to confirm the existence or absence of a long-run relationship among the series (d) a panel DOLS estimation to quantify the long-run and short-run relationships among the parameters (e) pooled mean group (PMG) estimates to gauge both long-run and short-run linkages among the variables of the study (f) a VECM Granger causality test to investigate the presence or absence of causality among variables, and lastly (g) a check of the statistical behavior of the causal directions utilizing the innovation accounting approach (IAA), which consists of impulse response functions and variance decomposition estimation.
The choice of the highlighted econometric methods is informed by the nature of the study, i.e., panel data analysis involving five sub-Saharan African countries.The prediagnostic tests, DOLS and PMG estimations, and the post-diagnostic tests best mirror the overall behavior of the variables of study in both the long run and short run.The variables of interest for this study were sourced from the [50] database, and they are named below: -Per capita CO 2 emissions (CN) (i.e., CO 2 emission per capita, mainly a function of their nonrenewable energy consumption) -Renewable energy consumption (REC) -Per capita real gross domestic product GDP (Y) -Financial development (FD), defined as the volume of domestic credit available to the private sector-see [39,51] REC is measured as a proportion (%) of total final energy consumption.CN was derived from the ratio of total CO 2 emissions and the total population of the countries under consideration.Y is calculated at constant 2010 US$, while FD is quantified as a proportion of gross domestic product (GDP).The choice of variables aligns with the ongoing global debates on fossil fuel consumption vis-à-vis alternative renewable energy consumption.Thus, the variable CN subtly portrays fossil fuel consumption from an environmental perspective.REC mirrors the clean energy industry, which is argued to support a modern economy.FD and GDP are chosen to reflect the microeconomic and macroeconomic dynamics of the renewable and nonrenewable energy debates.
It is pertinent to highlight here that EKC has faced strong criticism in the last decade by Wagner and others [50,52,53], especially regarding its empirical formulation.Their core argument is that working with integrated and cointegrated time series, which are nonlinearly transformed (logarithmic and quadratic), leads to nonlinear cointegration.This, by extension, influences the unit root tests, cointegration, and CD performed.Thus, like many other economic hypotheses, EKC to date is still subject to key drawbacks at both the theoretical and econometric level [54].However, these flaws barely erode its merits, which are at the core of its adoption.Such flaws also open up more opportunities for further research and better modification of the hypotheses [55].

Descriptive Statistics
The descriptive statistics reveal the general behavior of the variables of study using such indicators as the mean, median mode, standard deviation, and others.These are also referred to as summary statistics and are presented in Table 2.The descriptive statistics reported in Table 2 reveal that the mean values of renewable energy consumption and carbon emissions are 63.69 and −7.39, respectively, while their standard deviations are 28.40 and 1.50, respectively.The standard deviations explain the homogeneity of the data, while the Jarque-Bera values show that the skewness and the kurtosis of the data match a normal distribution.

Unit Roots Test
Determining the stationariness of macroeconomic variables before panel and timeseries estimations is crucial to achieving a valid research outcome.This is also referred to as verifying the order of integration of the variables.To achieve this aim, therefore, a unit root test is usually conducted.For a study that comprises five countries from sub-Saharan Africa, we expect the existence of cross-sectional dependence among the series, since these countries possess similar economic characteristics, given their regional proximities.The presence or absence of this cross-sectional dependence or contemporaneous correlation of residuals across the panel is thus examined using a cross-sectional dependence (CD) test formulated by [56], who described the cross-sectional dependence statistic as where and ρ iJ represents the pair-wise cross-sectional correlation coefficients of residuals from the normal augmented Dickey-Fuller (ADF) regression.N and T represent the panel sizes and sample, respectively.The null hypothesis of no cross-section dependence (correlation) in residuals is stated.We reject this null hypothesis if the probability of the Pesaran CD test is less than 0.05.
To address the cross-sectional dependence across the panel, the cross-sectional ADF (CADF) regression is employed, represented mathematically [39] as where Y it depicts the cross-sectional mean of y it .The inclusion of the cross-sectional mean in the equation above is justified as it addresses the problem of contemporaneous correlation among y_it.This represents the adjusted version of the IPS test [57] and is called the crosssectionally augmented IPS (CIPS) test [55].The null hypothesis supports a homogenous non-stationarity of the coefficients, i.e., λ_i = 0 for all i. [58] suggests a test statistic for CIPS given as T)  where t_i (N, T) represents the t statistic of λ i in Equation (3).
Table 3 presents the results of the cross-sectional dependence (CD) test in the panel, which helps us ascertain the presence or absence of cross-sectional dependence across the panel.The probability value of the Pesaran CD test statistic in Table 2 is less than 0.05, implying that we reject the null hypothesis of no cross-section dependence or correlation in the residuals across the panel.
The CIPS unit root test, which corrects for the presence of cross-sectional dependence, is presented in Table 3.
From Table 3, all the variables of study are integrated at order zero, i.e., I(0) under the CIPS unit root test.To further ascertain the appropriateness of the variables, we conduct the Pedroni panel cointegration test.

Panel Cointegration Test
Our results in Table 2 suggest the presence of cross-sectional dependence among the error terms of the panel, while Table 3 reveals that no variables have unit roots at level, i.e., I(0).Here, we carry out the panel cointegration test supported by [59,60].The Pedroni panel cointegration test is justified for this study, as it addresses the problem of heterogeneity while controlling for country sizes.This enables many exogenous variables of the cointegration vector to change across several panel sections [39,60].In this panel cointegration test also, eleven cointegration statistics for eleven tests are obtained, with eight as within-dimension tests and three as between-dimension or group statistics tests.Tables 4 and 5 summarize the CIPS unit root and the Pedroni panel cointegration tests for this study.Results from Table 4 show that eight of the eleven tests do not accept the null hypothesis of no cointegration.This further suggests the presence of a long-run cointegration among the variables of the study.
Again, the Kao residual cointegration test (presented in Appendix A), which controls for both heteroscedasticity and autocorrelation in the mode, shows that the variables are cointegrated, as the p-value of the ADF is less than 0.05.

Dynamic Ordinary Least Squares (DOLS) Estimation
Given that a long-run cointegration exists among the variables, we proceed to measure the long-run parameters.The panel cointegration regression adopted for this purpose in this study is the panel dynamic ordinary least squares (DOLS) technique, which seems to provide better estimates for cointegrated panels, such as the variables of the study.
Table 6 presents the DOLS results.The DOLS estimates presented in Table 6 suggest a significant negative connection between CO 2 emissions and renewable energy consumption, in line with a priori expectation.A unit increase in renewable energy consumption leads to an approximated 10.8% reduction in CO 2 emissions, other things remaining constant.Economic growth demonstrates a significant positive elasticity with CO 2 emissions, as expected, while financial development is not significantly related to CO 2 emissions in the sub-Saharan African countries under study.

Pooled Mean Group Estimation
The panel dynamic ordinary least squares (DOLS) estimation technique is often criticized for not being able to estimate short-run relationships [61].Thus, we select an alternative method-the pooled mean group (PMG) analysis [62]-which considers varying levels of heterogeneity across countries and estimates both the long-run and the short-run impacts concurrently.It allows the short-term coefficients to differ between groups while maintaining equality of the long-term coefficients between groups.Table 6 presents the results of the PMG regression for the long run and short run.
Table 7 provides the results of the pooled mean group measurement.The long-run coefficient of CO 2 emission compared to renewable energy consumption is negative and statistically significant, as expected.Thus, a 1% rise in renewable energy consumption as a percentage of total final energy consumption will reduce CO 2 emissions by 0.00013%.Similar results for the long-run relationship between CO 2 emissions and per capita economic growth suggest that a 1% rise in GDP per capita will increase CO 2 emissions by about 0.00018%, in line with a priori expectation.Again, financial development has a significant negative relationship with CO 2 emissions in the long run, against a priori expectation.The results further suggest no significant relationship between the variables and CO 2 emissions in the short run.
The error-correction term in the estimation suggests that about 38.5% of the dynamics of CO 2 emissions in the short run is attributable to the variations in renewable energy consumption, GDP per capita, and financial development.This further implies that CO 2 emissions in the selected African countries have a high speed of adjustment to equilibrium after an error or a deviation from long-run equilibrium.

Panel Granger Causality Test
Here, we examine the presence or absence of causal relationships among the variables.Information on the nature or direction of causality assists in providing a more robust argument for policy significance of research outcomes [39].Table 7 provides the statistical outcomes of the VECM Granger causality test.
The results in Table 8 suggest no causality between renewable energy consumption and CO 2 emissions.Similarly, the findings reveal no causality between economic growth and CO 2 emissions.There is no joint causality from renewable energy consumption and financial development to economic growth either.

Impulse Response and Variance Decomposition Techniques
A significant flaw of the VECM Granger causality test, also reported by [39], is its inability to produce true measures of the robustness of causality between variables outside study period.It is also criticized on the grounds that it only provides results on the direction of the association between the variables, ignoring the accompanying sign.To address these flaws, this study employs the innovation accounting approach (IAA), which comprises the Cholesky impulse response functions and variance decomposition test results.The Cholesky fractionalization impulse response analysis [63] is sensitive to the VECM order.Also, the impulse response functions show if innovation impacts have long-run or short-run implications, or if they are positive or negative.Despite the fact that the impulse response function can trace the effects of standard deviation shocks on the future and present values of the variables it fails to provide the extent of these effects.Hence, the variance decomposition technique is adopted to assess this immensity. Ref.
[62] described variance decomposition as the technique that calculates the proportional input of each innovation to h-step before the forecast error variance of the endogenous variable.It also highlights the significance of innovations in describing the changes in the endogenous variable.
The impulse response graphs in Figure 2 reveal that the standard deviation of CO 2 emissions per capita brings about a fairly fluctuating level of emissions in the near future (1 to 3 years) and a constant per capita CO 2 emissions in the far future (4 years upwards).The response of CO 2 emissions per capita to financial development and renewable energy consumption demonstrates a gradual increment in the future.Similar to the innovations in themselves, CO 2 emissions remain constant in the future as a response to innovations in GDP per capita.On the other hand, renewable energy consumption increases in the future as a response to shocks in GDP per capita and financial development remains fairly constant as a response to innovations in CO 2 emissions.endogenous variable.It also highlights the significance of innovations in describing the changes in the endogenous variable.
The impulse response graphs in Figure 2 reveal that the standard deviation of CO2 emissions per capita brings about a fairly fluctuating level of emissions in the near future (1 to 3 years) and a constant per capita CO2 emissions in the far future (4 years upwards).The response of CO2 emissions per capita to financial development and renewable energy consumption demonstrates a gradual increment in the future.Similar to the innovations in themselves, CO2 emissions remain constant in the future as a response to innovations in GDP per capita.On the other hand, renewable energy consumption increases in the future as a response to shocks in GDP per capita and financial development remains fairly constant as a response to innovations in CO2 emissions.The outcomes of the variance decomposition tests are presented in Table 9.The outcomes of the variance decomposition tests are presented in Table 9.The variance decomposition analysis results reveals that at the 5-year predicting ambit, about 96.3% of the one-step forecast variance in per capita CO 2 emissions is explained by its shocks, while overall, 3.7% is explained by financial development, renewable energy consumption, and economic growth.In the long run, say 10-year forecasting period, the response of CO 2 emissions to its innovations reduces, though insignificantly, to about 95.1%, while the response to innovations in financial development, renewable energy consumption, and per capita economic growth is expected to rise to 4.9%.Among this 4.9% of the variance, 3.3% is attributed to innovations in per capita economic growth, 1.4% is due to innovations in financial development, and a mere 0.2% is due to innovations in renewable energy consumption.These findings emphasize that the largest proportion of changes expected of CO 2 in the future will be generated by itself.The forecast impacts of financial development, per capita economic growth, and especially renewable energy consumption seem to be weak.

Discussion
This research examined the linkage between CO 2 emissions, renewable energy consumption, financial development, and economic growth in five sub-Saharan African countries with the largest nominal GDP using panel data from 2000 to 2020.The research establishes the existence of cross-sectional dependence among the variables based on the Pesaran CD test, hence the CIPS unit root test for panel data analysis was conducted.The test reveals that all the variables are integrated at order zero.The Pedroni test for cointegration further confirms that the variables are cointegrated.Group dynamic ordinary least squares (DOLS) estimation was adopted to measure the long-run relationships among the variables.The pooled mean group (PMG) estimation, on the other hand, was conducted to ascertain both the long-run and the short-run relationships existing between CO 2 emissions, renewable energy consumption, financial development, and economic growth.The three independent variables were found to have significant relationships with CO 2 emissions in the long run, but not in the short run.Renewable energy consumption and economic growth also have the expected signs based on the literature review, while financial development does not conform to a priori expectations.The findings of the long-run positive relationship between economic growth and CO 2 emissions are corroborated by [28].However, their findings of significant short-run interconnection between CO 2 emissions and economic growth are a sharp contrast.Financial development was revealed to have a negative but significant relationship with CO 2 emissions in the long run, also supported by [26].These findings imply that since the sub-Saharan African countries of focus are still heavily dependent on fossil fuels as their major source of revenue, efforts to intensify renewable energy consumption will only be able to reduce CO 2 emissions in the long run when the renewable energy industry is fully mature.Additionally, economic growth may still be accompanied by an increase in CO 2 emissions even in the long run if these countries do not phase out fossil fuel utilization completely by then.For a country like Nigeria, for instance, it will probably still take decades to have a 100% transition to renewable energy utilization.Furthermore, the finding of both short-run and long-run positive relationships between economic growth and carbon dioxide emissions only support the scale effect of the EKC (though the growth rate of carbon emissions associated with an increase in production is very minimal), but not the composition or technique effects.
There is no causality between renewable energy consumption, economic growth, and CO 2 emissions.This finding is in contrast with the results of [39] that a bidirectional causal link exists between CO 2 emissions and economic growth.It also contrasts with [42], who found a bidirectional association between renewable energy consumption and CO 2 emissions.Impulse response functions and variance decomposition analysis suggest that the impacts of renewable energy consumption, economic growth, and financial development on CO 2 emissions will continue to be of little magnitude in the future.Thus, these sub-Saharan African countries will have to adopt the latest carbon technologies, like carbon capture, utilization, and storage, even as they are upscaling renewable energy consumption and cutting down fossil fuel use, to effectively manage CO 2 emissions in the future.The overall results suggest that renewable energy consumption could reduce CO 2 emissions, economic growth could increase CO 2 emissions, and financial development could reduce CO 2 emissions in Nigeria, South Africa, Kenya, Ethiopia, and Ghana in the long run.

Conclusions
This research has explored the impacts of renewable energy consumption, financial development, and economic growth on CO 2 emissions in the five largest economies of sub-Saharan Africa using panel data spanning 2000 to 2020.The core findings of the study suggest that renewable energy consumption could reduce CO 2 emissions, economic growth could increase CO 2 emissions, and financial development could reduce CO 2 emissions in Nigeria, South Africa, Kenya, Ethiopia, and Ghana in the long run.
These findings have very salient policy implications for these sub-Saharan African countries, known to heavily rely on fossil fuels for the largest component of their economic activities, to effectively chart a sustainable growth path while effectively dealing with climate change challenges.First, the enactment of more renewable energy policies has become more imperative than ever.This is because renewable energy upscaling will help these economies to remain in control of the seemingly ugly situations that the high level of emissions has already caused, some of which are rising sea levels and loss of aquatic life and biodiversity.In addition to increased renewable energy deployment, the promotion of energy efficiency will ensure that the existing energy supply is not wasted.The findings of the study revealed that despite an increase in renewable energy consumption, it will take a long time before the impact will be felt.Thus, there is a need for a prompt introduction of environmentally friendly carbon technologies, such as carbon capture, utilization, and storage (CCUS) while efforts are put in place to reduce dependence on fossil fuels and enhance renewable energy deployment.
Finally, the role of research and development in managing excessive CO 2 emissions cannot be overemphasized.However, sub-Saharan Africa still has a lot of work to do in this area.Thus, sub-Saharan African countries need to intensify investments in research on carbon management technologies and clean energy technologies.These investments can also be attracted when there is a developed financial system.Financial institutions should be empowered to incentivize potential investors in the areas of renewable energy and carbon emission reductions (CER).These efforts would not only address current emissions problems or renewable energy upscaling targets but would also tackle other environmental issues that might arise in the post-fossil fuel future of sub-Saharan Africa.Perhaps the African Union may begin to consider redesigning some institutes of the Pan-African University to include more practically oriented renewable energy and carbon technology research components.
alization, C.M.N.; funding acquisition, H.Q.-U.All authors have read and agreed to the published version of the manuscript.

Table 1 .
Summary of reviewed literature.

Country-Specific Studies for Non-African Countries Country-Specific Studies for African Countries Cross-Country Analyses for Non-African Regions/Blocs Cross-Country Analyses for Africa Global Panel Studies
Note VECM: vector error correction model; ARDL: autoregressive distributed lag model; DOLS: dynamic ordinary least squares; EKC: environmental Kuznets curve; FMOLS: fully modified ordinary least squares; PVAR: panel vector autoregressive model.

Table 2 .
Descriptive statistics of the variables.

Table 4 .
CIPS unit root test results.

Table 6 .
Results of the panel dynamic ordinary least squares (DOLS) estimates.

Table 7 .
Results from pooled mean group estimations.

Table 9 .
Variance decomposition analysis for CO 2 emissions.