Introduction

The rising concerns about environmental sustainability and climate change necessitate the call by the UNFCCCFootnote 1 for countries to curb global warming. The Paris Agreement and other climate agreements chart a new direction for nations to keep warming below 2, preferably 1.5°C, compared to pre-industrial levels. Climate change poses an enormous threat to ecosystems, with consequent adverse implications for human livability (Kerr 2007; Yao et al. 2015). The problems involving climate change and environmental pollution often emanate from human consumption of fossil fuels which emit a large amount of carbon emissions. Hence, the environmental consequences of human activities cannot be overemphasised. According to the International Panel on Climate Change (IPCC), about 90% of climate change is caused by human activities, which remains its main causal factor up until now (IPCC 2015). Moreover, Hughes et al. (2003), Patz et al. (2005), and McMichael et al. (2006) traced the climate change impacts to the greenhouse-gas (GHGs) emissions from human activities. As opined in Yao et al. (2015), from the nineteenth century to date, production activities in developed countries (DCs) account for about two-thirds of the CO2 emissions from energy consumption. These energy-related CO2 emissions are associated with heavy-duty machines, high-performance vehicles, and other fossil fuels consuming production plants in these countries. Unarguably, most of the GHGs emissions generated globally are attributable to the activities of the G20 economies. Corroborating the preceding claim is Yao et al. (2015), affirming that G20 countries housed about 67% of the world’s population, produced 86% of the world’s output, and generated 76% of the world’s CO2 emissions in 2010. Similarly, evidence from the International Energy Agency (IEA) suggests that in 2014, G20 nations accounted for about 85% of the world economy, two-thirds of the world population, and 75% of the global trade. They also primarily relied on non-renewable energy, with 77% of global energy use and accounted for 82% of the world energy-related CO2 emissions (IEA 2018).

The G20Footnote 2 economies, comprising the European Union, twelve emerging nations, and seven developed countries, are notable for high levels of output growth. The considerable success records of these countries in the growth process can arguably be attributed to their massive capital investments. For instance, the United States (US), Germany, Canada, Australia, and Saudi Arabia are heavily industrialised while at the same time contributing significantly to global emissions. In 2016, the USA was credited with the largest CO2 emissions, followed by India, Russia, Japan, China, Germany, Korea, and Saudi Arabia in that order (see Fig. 1).

Fig. 1
figure 1

Trend of carbon emissions across the major carbon emitters in 2016. Source: Graphed from the underlying data source (Statista 2018)

Moreover, in 2016, fossil fuel energy use per total energy and CO2 emissions correspondingly stood at 85.3% and 5350.4 million tonnes (MT) for the US, 80.8% and 760.8 MT for Germany, 63.5% and 527.4 MT for Canada, and 93.2% and 408.9 MT for Australia, as well as 99.9% and 621.8 MT respectively for Saudi Arabia (BP Statistical Review 2018). Given the fact that energy use causes GHG emissions, as affirmed in Inglesi-Lotz and Dogan (2018), Dogan and Seker (2016), and Mesagan et al. (2019), and capital investments can both mitigate or amplify environmental pollution substances as opined in Blomquist and Cave (2008), Tang and Tan (2015), Mesagan (2015), Zhang and Zhou (2016), and Haider et al. (2019), it calls for a focus on the G20 nations since they are inherently endowed with these two elements.

Given the preceding, we hinge the motivations of this study on the following considerations. First, there have been various commitments since 2009 to end government support for fossil fuels and make “finance flows consistent with a pathway toward low greenhouse gas emissions and climate-resilient development” (Paris Agreement, Article 2.1c), yet G20 governments continued to provide significant support to fossil fuels. For instance, International Institute for Sustainable Development (IISD 2020) report states that the G20 governments provided $584 billion annually through direct budgetary transfers and tax expenditure, public finance, price support, and state-owned enterprise investment for the production and consumption of fossil fuels at home and abroad. In particular, the governments of these countries provide more support to oil and gas production than any other stage of fossil fuel-related activity, at $277 billion (47% of the total support to fossil fuels). The situation seemed more severe during the COVID-19 outbreak when the G20 countries allocated some $170 billion in public money commitments to fossil fuel-intensive.

Second, the G20 economies host 80% of the world’s total installed renewable power generation capacity and hold 75% of the total global deployment potential of all renewables in the energy sector from 2010 to 2030, as estimated by International Renewable Energy Agency (IRENA). Lastly, capital investments have been argued to constitute about one-quarter of gross global product in monetary terms, thus causing about 30% of global greenhouse gas emissions (Sodersten et al. 2017). Not only that, the entire process of capital investments causes anthropogenic greenhouse gas emissions. These emissions occur at different stages: during construction, use, and end life phase (see Muller et al. (2013) for detailed exposition).

There is undoubtedly extensive empirical literature on the energy-pollution nexus but is mainly mixed. For instance, Stolyarova (2013) and Wang et al. (2013) confirmed that non-renewable energy negatively impacts carbon emissions. However, Soytas et al. (2007), Halicioglu (2009), Zhang and Cheng (2009), Shahbaz et al. (2013), Shafiei and Salim (2014), Cowan et al. (2014), Yao et al. (2015), Bento and Moutinho (2016), Li et al. (2015), Shahsavari and Akbari (2018), Mesagan and Nwachukwu (2018), Inglesi-Lotz and Dogan (2018), Chen et al. (2019), Sharif et al. (2019), Mesagan et al. (2019), and Xian et al. (2019) showed increasing impacts of non-renewable energy consumption on the pollution level. Regarding the channels of pollution transmissions, studies such as Pata (2018), Mesagan and Nwachukwu (2018), Khan et al. (2018), Baloch et al. (2019), Sharif et al. (2019), Charfeddine and Kahia (2019), and Mesagan and Olunkwa (2022) identified financial development routes. Also, studies by Mesagan (2021a, 2021b) and Mesagan et al. (2021) linked environmental problems to the level of financial openness across different countries. While the pollution impact of financial integration is increasing, studies such as Frankel and Rose (2005), Li et al. (2015), Wang et al. (2013), Yao et al. (2015), Pata (2018), Xian et al. (2019), and Haider et al. (2019) then attributed increases in pollution to factors such as urbanization, trade, and population growth.

Specifically, both Frankel and Rose (2005) and Li et al. (2015) attributed trade impact of environmental pollution to polity channel, while Shafiei and Salim (2014), Inglesi-Lotz and Dogan (2018), Chen et al. (2019), and Sharif et al. (2019) provided the pollution-reducing impact of renewable energy channel in the pollution abatement model. Recently, both Ding et al. (2021) and Mesagan (2021b) identified production and consumption activities as the primary causal problems of pollution. While Ding et al. (2021) call for a more carbon-friendly consumption pattern in G-7 countries, Mesagan (2021b) attributes the environmental sustainability problem in Sub-Saharan Africa to its production activities. Again, studies like Mesagan (2021a), Mesagan and Olunkwa (2020), Mesagan et al (2020), and Ajide and Ibrahim (2021) examined how capital investment can enhance pollution control measures. While the studies make a massive foray into the nature of capital investment vis-à-vis fossil fuel energy, they largely ignored the renewable energy impacts in their models. This means that contributions for pollution reduction in these studies would not be comprehensive if the focus is solely on non-renewable energy without considering the impact of the entire energy mix. The present study fills this noticeable gap in the literature.

In the light of the preceding, it is apparent that the debate surrounding the energy-pollution nexus is ongoing and inconclusive. Therefore, the need to re-investigate the nexus for G20 economies pollution and energy nexus via the capital investment channel is salient for these countries as identified in the literature (see Sims et al. 2003; Tang and Tan 2015). This is so as the capital investment can offset the threats of CO2 emissions through the technique effect it creates and can equally amplify it through its embodied carbon content. However, it has received less attention from previous related studies, especially those focusing on G20 nationsFootnote 3 that have a massive amount of industrial productivity and carbon pollution. Thus, this paper addresses the energy-pollution problem via the capital investment channel. Examining such a relationship for the G20 economies cannot be overlooked as they are faced with fulfilling their bargain of the Paris Agreement without lowering their productivity amid the persistent increase in CO2 emissions. Consequently, the main objective is to analyse the role of energy in CO2 pollution via the capital investment channel in the G20. Specifically, the study examines the effect of non-renewable and renewable energy use on environmental pollution. It examines the impact of capital investment on pollution and then analyses the effects of both energy sources on pollution through the capital investment channel. Therefore, our main innovation entails using the capital investment to augment the pollution impacts of renewable and non-renewable energy consumption in G20 nations. Thus, the study extends the frontiers of knowledge in four ways. Firstly, the study disaggregates energy sources into renewable and non-renewable resources to identify the leading cause of pollution in G20 economies in the short run and the long run, and we find non-renewable energy culpable. Secondly, we assess the role of capital investment in the G20’s pollution abatement model, in both the short and long runs, and confirm that it is crucial, especially in the short run. Thirdly, we identify capital investment as the augmenting channel for reducing G20’s pollution resulting from non-renewable energy, but with the condition that the share of renewable energy rises in the mix. Lastly, we employ heterogeneous and dynamic panel analysis to generate panel estimates for the short and long runs. Our subsequent findings consider cross-sectional dependence, having confirmed that G20 nations are dependent cross-sectionally and have heterogeneous features also.

The balance of the paper is as follows: section “Facts on alternative energy use and carbon pollution in G20 economies” presents the facts on alternative energy usage and carbon pollution in G20; section “Research methodology” dwells on the research methodology; section “Results and discussion” discusses the result; and section “Conclusion” concludes with policy implications and future outlook.

Facts on alternative energy use and carbon pollution in G20 economies

Carbon emission and energy usage by types of fuel

Table 1 presents the relationship between energy consumption by fuel types and CO2 emissions in G20 economies. For most countries within the G20, available evidence shows a direct and positive link between fossil fuel energy consumption and pollution.

Table 1 Energy use by fuel type and carbon pollution in G20 countries

As shown in Table 1, in 2015, Brazil consumed 66.7% of fossil fuel energy and 33.3% of renewable energy, but in 2016, it increased its consumption of renewable energy to 36.8% and was able to lower its CO2 emissions to 458 from 491.3 MT in 2015. The increase in biofuels on a large scale enables Brazil to reduce carbon emissions significantly. Between 2015 and 2016, Russia increased its renewable energy use from 12.1 to 12.8%, while its CO2 emissions correspondingly reduced to 1490 MT from the initial 1521.9 MT. Both China and the UK marginally increased their renewable energy consumption from 11.8 to 13.0% and 18.2 to 18.6%, respectively. As a result, both countries reduced their CO2 emissions between 2015 and 2016 from 9164 to 9123 MT and from 433.4 to 406.4 MT, respectively. Similarly, Italy increased its fossil energy use marginally from 83.5 to 84.0% between 2015 and 2016, and its CO2 emissions rose marginally from 336.2 to 336.9 MT. Unlike others, Japan's increase in renewable energy use from 7.8 to 9.2% led to a significant drop in carbon emissions from 1206.6 to 1191.2 MT over the same period.

In France, the country generated substantial energy from renewable sources. However, as depicted in Table 1, increasing fossil fuel energy from 50.3 to 52.1% causes CO2 emissions to significantly increase from 309.7 to 316.0 MT between 2015 and 2016. The United States follow similar trends as its CO2 emissions dropped from 5445 to 5350 MT as fossil fuel energy fell from 86.1 to 85.3% during the same period. The CO2 emissions dropped for other G20 economies because they reduced their fossil fuel energy consumption. These countries include Mexico, Australia, and Canada. However, South Africa marginally increased renewable energy use from 3.5% in 2015 to 4.7% in 2016, and the country recorded a slight increase in CO2 emissions to 425.8 MT from the initial 421.7 MT. On the other hand, India’s CO2 emissions rose to 2271.1 from 2157.4 MT between 2015 and 2016 despite maintaining the same ratio of 7.5% in renewable energy use. Also, the EU increased non-renewable energy use from 75.1 to 75.4%, while its CO2 emissions increased from 3477 to 3485.1 MT for both years. Moreover, other G20 economies that witnessed a one-to-one increase in non-renewable energy and CO2 emissions are Argentina, South Korea, and Germany. Then, Indonesia, Saudi Arabia, and India maintained the same ratio of fossil energy use for the two years and recorded an increase in their CO2 emissions.

The link between fossil fuel energy use and environmental quality

The framework presented in Fig. 2 depicts the mediating role of capital investment in CO2 emissions for the G20 nations. In addition, Fig. 2 graphically illustrates how renewable and non-renewable energy use can curtail and increase carbon emissions among the G20 countries. From the figure, the amount of renewable and non-renewable energies in the energy mix will likely alter the situation of CO2 emissions in G20 economies. For instance, experience has shown that if the energy mix contains more fossil fuel energy, the volume of emissions of carbon would increase and vice versa (see Dogan and Seker 2016; Mesagan et al. 2019; Chen et al. 2019).

Fig. 2
figure 2

The role of capital investment in environmental quality. Source: Authors’ computation

Contrariwise, CO2 emissions can be lowered when companies use low carbon-emitting machines during production activities or generate energy from renewable sources. As suggested in Mesagan et al. (2019), the attraction of appropriate production technologies is beneficial for countries to lower CO2 emissions.

Moreover, Fig. 2 supports the notion that capital investment inflow helps increase output growth in G20, which can negatively or positively affect their environmental quality (Safdari et al. 2013; Bernard et al. 2004). To substantiate this, Eregha and Mesagan (2017) affirmed that energy consumption enhances output growth, and Bernard et al. (2004) opined that investment and output growth reduce environmental damage, while Safdari et al. (2013) revealed that increased income and investment worsened environmental degradation. Also, the Environmental Kuznets Curve (EKC) suggested the existence of a reversed U-shaped association between income and emission levels (see Andreoni and Levinson 2001; Stern 2004). This informs the double-barrel effect of income on carbon pollution in Fig. 2. Bernard et al. (2004) affirmed that with solid regulations, countries would attract only environmentally friendly capital investments to generate the technique effect that will lower CO2 emissions. However, when highly carbon-laden plants are drawn, the composition effect of emissions is expected to increase, and CO2 emissions would also increase. Therefore, capital investment can provide the appropriate channel for G20 economies to lessen CO2 emissions to achieve their respective Paris Agreement goals.

Dissecting the plans for curbing carbon emissions in G20 economies

According to Wilson (2014), energy usage and pollution in China increased significantly from the early 2000s, making it overtake the US in 2007 as the country with the most considerable amount of carbon emissions globally. In 2002, CO2 emission in China was about half lesser than the CO2 emissions in America. However, by 2012, its CO2 emission had doubled that in America and surpassed emissions generated in the EU. Over the period, the Chinese authorities developed a short-term energy-intensity reduction target, which covers between 2006 and 2010 to reduce the country’s CO2 emissions and energy intensity. Furthermore, China established another long-term CO2 emissions reduction target for 2020 (Zhou et al. 2011). Besides, the industrial sector in China contributed over 50% of its energy utilised (Grubb et al. 2015). According to the Australian Government’s Department of Environment and Energy (DEE 2017), Australia is among the 178 countries with less than 2% of emissions but jointly contributes about 40% of total emissions globally. Having ratified the first commitment of the Kyoto Protocol, the country reduced emissions by 128 MT between 2008 and 2012. The implication is that the country is well ahead of achieving its 2030 emissions reduction target between 26 and 28% below the 2005 level. However, Climate Action Tracker (CAT 2019) opined that based on total country-wide emissions and lack of accelerated climate action policies, Australia might substantially increase its GHGs emissions between 8 and 16% above 2005 levels by 2030.

Similarly, Mazumdaru (2017) reported that India’s CO2 emission per person was about 33% of the global average owing to its energy sector’s 60% dependence on coal. However, the country’s emission is lesser than that of China and the US. Moreover, in terms of total GHG emissions, India follows directly behind China, the United States, and the EU with about 4.5% of GHG concentrations. The high pace of industrial production increased the country’s non-renewable energy consumption. Hence, to lower GHG emissions to between 33 and 35% of GDP by 2030, the country plans to diversify its energy mix. This will enable India to generate about 175 gigawatts (GW) from renewable sources like solar by 2022 and increase its renewable energy up to 40% of total energy by 2030. At the turn of 2030, India will only permit battery-driven and electric vehicles (Mazumdaru 2017; CAT 2019). In 2016, Canada announced its clean growth and climate framework with measures to ease out old coal plants and establish a carbon pricing plan. The Canadian NDC goal for 2030 is to lower emissions by about 30% below its 2005 level (CAT 2019). However, the climate action tracker opines that Canada may find it challenging in achieving its 2030 Paris Agreement target unless it depends on carbon sinks in the wetlands, forests, and soils, while also sacrificing its growth target.

Moreover, Russia has always experienced a considerable increase in foreign exchange earnings due to the rise in world crude oil prices of the early 2000s. As a result, it is one of the largest carbon-emitting nations in the whole world. Climate Action Tracker (2019) reports that Russia set up a national policy on climate change to reduce emission intensity. Although its Intended Nationally Determined Contribution’s (INDC) target for reducing pollution exceeds the Paris Agreement’s level, it is still among the weakest by any country. Hence, it may affect the country’s quest to lower carbon emissions by 2030 to below 70% of levels in 1990. According to Kuramochi (2014), the Japanese government has redesigned its energy policy for combating climate change after the March 2011 Fukushima nuclear disaster. To this end, in 2013, the country sets up a new emissions reduction target of 3.8% from the 2005 level to replace the earlier 25% targeted reduction from the 1990 standard set in Copenhagen in 2009. However, CAT (2019) opined that the plan of the country to construct coal plants could be risky to the climate change mitigation efforts of the Japanese government. Furthermore, the ability of the country to build new nuclear reactors could also prove crucial in achieving its 2030 emissions reduction target.

The Brazilian government employs different strategies to reduce emissions and improve global warming. The country produces biofuel, most especially ethanol, to diversify its energy sources and lower pollution (Masiero 2011). To increase its renewable energy mix and reduce emissions, the country established plants to produce ethanol-driven vehicles on a large scale in 1979. However, the current deforestation in the country since 2016, coupled with the government’s reduction of finances by half to its Environment Ministry, increased the country’s emission for the current period (CAT 2019). For the United States, CAT (2019) reported that wind and solar rose significantly in contribution while about 6.3 GW of coal-firing plants shut down in 2017. The resultant effect of this effort is that fossil fuel energy dropped for the first time in 2017 in the US since the global financial crisis of 2008. While decarbonizing the US and limiting global warming to 20C were largely unrealistic due to the threat from Donald Trump’s administration to remove the country from the Agreement, the recent efforts and support from the new US President, Joe Biden, could offer a significant turnaround in achieving the country’s decarbonization target.

The German government announced ‘Energiewende’, an ambitious energy transition plan to decarbonise the economy in 2010. With Energiewende, the country aims to lower GHG emissions by 40% below 1990 levels by 2020, which is more ruthless than the European Union’s 20% targeted reduction by 2020 and a further 40% below 1990 levels by 2030 (Hope 2014; Appunn 2018). Furthermore, another 95% emissions reduction target below 1990 levels is set for 2050 in the plan. Moreover, the country plans to increase its renewable energy by about 60% and make renewable energy contribute over two-thirds of its energy consumption in 2050 (Appunn 2018). One major challenge with the German plan for 2020 emissions reduction is that the country still requires some conventional power source, like coal, to run with its renewables. Hence, phasing out its nuclear power might not be realistic in 2020. For South Africa, the country established an Integrated Resource Electricity Plan (IRP) to increase its renewable energy for 2030 (CAT 2019). The robust renewable energy target that IRP set to be achieved in 2030 is 17.8 GW. Also, between 2025 and 2030, the country’s Nationally Determined Contribution (NDC) has targeted reducing emissions to between 398 and 614 MT. The Climate Action Tracker (2019) noted that economic recession, which slows the pace of economic growth, and the current national policies, might enhance its quest to achieve its set 2030 targets. However, the recent transition in government that stalled the signing of the power purchase agreement with renewable energy firms, the uncertainty in the starting date to levy CO2 pollution tax, and the expected rise in the number of coal plants currently under construction might hinder its 2030 climate change target (CAT 2019; Mesagan et al. 2019).

Research methodology

This study leans on the proposition of the EKC that posits a long-run beneficial link between pollution and income. Thus, following the models specified in Andreoni and Levinson (2001), Stern (2004), and Mesagan et al (2020), we define the model between CO2 emissions and income, together with other drivers like energy use, trade openness, and foreign direct investment while accounting for capital investment as a mediating variable. Thus, we specify the model in an empirical estimation form as:

$${CO}_2={\alpha}_0+{\alpha}_1Y+{\alpha}_2{Y}^2+{\alpha}_3 REN+{\alpha}_4 NEN+{\alpha}_5 CI+{\alpha}_6 FDI+{\alpha}_7\boldsymbol{TO}+\varepsilon$$
(1)

Where CO2 is carbon emission per capita; Y is the per capita gross domestic product; Y2 is square of GDP per capita; REN is renewable energy consumption; NEN is non-renewable energy consumption; CI is capital investment; FDI is foreign direct investment; and TO stands for trade openness respectively. Also, α0 is the intercept, α1 to α7 are the various parameter estimates while ε is the residual term.

To capture the effect of renewable and non-renewable energy on pollution, we modify Eq. (1) as:

$${CO}_2={\alpha}_0+{\alpha}_1Y+{\alpha}_2{Y}^2+{\alpha}_3 REN+{\alpha}_4 NEN+{\alpha}_5 FDI+{\alpha}_6\boldsymbol{TO}+\varepsilon$$
(2)

In Eq. (2), all the variables remained as earlier explained while α0 remains the intercept, α1 to α6 are the various parameter estimates, ε is the white noise error term, and both FDI and TO are used as control variables in the model.

After this, we present Eq. (3) to determine the specific impact of capital investment on pollution in G20 as:

$${CO}_2={\alpha}_0+{\alpha}_1Y+{\alpha}_2{Y}^2+{\alpha}_3 CI+{\alpha}_4 FDI+{\alpha}_5\boldsymbol{TO}+\varepsilon$$
(3)

Where all the variables remained as earlier explained while α0 remains the intercept, α1 to α5 are the parameter estimates, ε is the white noise error term, and CI is capital investment.

Lastly, we present Eq. (4) to capture the conditioning impact of renewable and non-renewable energy on pollution via the capital investment channel as:

$${CO}_2={\alpha}_0+{\alpha}_1Y+{\alpha}_2{Y}^2+{\alpha}_3\boldsymbol{RENCI}+{\alpha}_4\boldsymbol{NENCI}+{\alpha}_5 FDI+{\alpha}_6\boldsymbol{TO}+\varepsilon$$
(4)

In Eq. (4), all the variables remained as earlier explained while RENCI captures the interaction between renewable energy and capital investment and NENCI proxies the interaction between non-renewable energy and capital investment. Also, α0 is the intercept, α1 to α6 are the parameter estimates, and ε is the residual term, while FDI and TO are used as control variables.

In this study, using capital investment as a pollution reduction channel is vital owing to the technique effect that environmentally friendly technologies generate. Even when energy use is emission-laden, capital investment can make the technique effect to neutralise the threats of CO2 emissions as suggested by the pollution halo theory. Therefore, the empirical model is analysed using the Pooled Mean Group (PMG) approach. The framework was developed by Pesaran et al. (1999) for handling heterogeneous samples. The PMG is more appropriate because of its capability to analyse cross-country studies with many cross sections (N) and large series (T). Hence, the PMG is preferred over the GMM framework that can only accommodate large N and small T dimensions (see Pesaran and Smith 1995; Pesaran et al. 1999).

Thus, given the panel ARDL model in Eq. (1):

$${a}_i(L){y}_{it}={b}_i(L){x}_{it}+{d}_i{z}_{it}+{\varepsilon}_{it}$$
(5)

Where ai(L)yit represents the vector of regressed variables, bi(L)xit captures the lagged dependent variable, dizit stands for the vector of covariate regressors, ε is the residual term, and both i and t represent the cross section and time series respectively. Then, for country i, where i = 1, …, N, the long-run estimate is represented as \({\phi}_i=\frac{b_i(1)}{d_i(1)}\).

For the Pooled Mean Group approach, the short-run parameters are varied across samples while long-run estimates remain similar across the sample. Therefore, the unrestricted PMG condition for country i = 1, 2…, N, and period t = 1, 2…, T for the dependent variable y becomes:

$${y}_{it}={\sum}_{j=1}^q{\omega}_{ij}{y}_{i,t-j}+{\sum}_{j=0}^{\rho }{\gamma}_{ij}^{\prime }{x}_{i,t-j}+{\mu}_i+{\varepsilon}_{it}$$
(6)

Where, xij = kx1 vector of regressors for panel i and μi= fixed effects. We then represent Eq. (6) in a VECM structure using a process of re-parameterisation as:

$$\varDelta {y}_{it}={\phi}_i\left({y}_{i,t-1}-{\varphi}_i^{\prime }{x}_{i,t-1}\right)+{\sum}_{j=1}^{q-1}{\omega}_{ij}{\varDelta y}_{i,t-j}+{\sum}_{j=0}^{\rho -1}{\gamma}_{ij}^{\prime }{x}_{i,t-j}+{\mu}_i+{\varepsilon}_{it}$$
(7)

Where, Δi’s are difference operators, ϕi’s are the error correction estimates, and φi’s represent the long-run estimates. Furthermore, the short-run estimates, intercepts, and adjustment speeds vary across samples in this framework, whereas long-run estimates are similar for the panel (see Eregha and Mesagan 2020). Moreover, we use both the homogeneous and heterogeneous panel unit root tests (PURT), whereas the Friedman Cross-sectional Dependence (CD) test, Frees’ test, and Breusch-Pagan LM test of Pesaran and Chudik (2014) are employed to establish the existence of CD among the sample of countries. We then use the Pesaran CD test to determine the appropriateness of the 1st-generation PURT. Also, we confirm cointegration among the regressors using Westerlund (2007) by bootstrapping the critical values since CD exists. The variables used based on Andreoni and Levinson (2001), Stern (2004), Dasgupta et al. (2002), and Mesagan et al. (2018) include carbon emissions per person (CO2), non-renewable energy use per capita (NEN) measured in kilowatts, renewable energy per person (REN) denoted in kilowatts, real GDP per head (Y), and capital investment (CI) proxied with gross fixed capital formation to GDP. Others include the interactions of non-renewable energy use and capital investment (NENCI) and that between renewable energy use and capital investment (RENCI). The last variables include trade openness (TO) and foreign direct investment (FDI) of the G20 nations. We sourced data spanning 1990–2017 from the Global Carbon Atlas (2018) and World Bank’s World Development Indicators (WDI 2019). The summary of the parameter chosen, and their respective measurement, is presented in Table 2. For the empirical implementation of the preceding models and data analyses, this study employs STATA 16 version owing to its flexibility and sophistication.

Table 2 Regressors used in the study

Results and discussion

Results

In Table 3, we present the correlation matrix to confirm the possibility of multicollinearity problem among the regressors. Given that regression spuriousness is often caused by perfect collinearity among or between variables of interest, Table 3 suggests a weak correlation, thus confirming the suitability of the estimated models.

Table 3 Correlation of variables

The cross-sectional dependence (CD) tests make it possible to ascertain if the panel data exhibit CD among the variables. CD in panel data is caused by standard shocks and unexplained elements that are fused into the residual terms. As explained in the methodology section, we also use the CD tests to check the appropriateness of the first-generation panel stationarity tests. They include the Breusch-Pagan Langrage Multiplier (LM), the Pesaran CD, the Friedman chi-square, and the Frees normality test. Table 4 shows that we can reject the hypothesis of no CD in the panel data since the Friedman, Pesaran, and Breusch-Pagan tests are significant at 1% levels. This is also confirmed by the Frees statistics of 4.727, 4.561, and 4.404 in models I–III since they exceed the Frees’ Q distribution critical values at 1%, 5%, and 10%. It implies that the Frees test is also significant at 1%. Even in model III, where only the Pesaran CD is insignificant, we strongly confirm CD. The implication is that we confirm the existence of strong CD among the G20 countries because most of the measures reject the main hypotheses. Hence, the use of 1st-generation PURT is inadequate. We then present the 2nd-generation PURT test, which accounts for CD (Pesaran 2007). The Pesaran (2007) test is robust for CD by cross-sectionally augmenting the IPS statistic of Im et al. (2003). Next is to compare the cross-sectionally augmented IPS (CIPS) statistic with the cross-sectionally augmented Dickey-Fuller distribution (CADF) critical values at various levels.

Table 4 CD test results

Table 5 displays the 1st-generation panel unit test from the homogeneous and heterogeneous processes. Table 5 suggests that considering the homogeneous tests with Breitung (2001) and Levin et al. (2002), only foreign direct investment is stationary at levels, while every other independent variable is not stationary. Similarly, using the heterogeneous tests with ADF Fisher and Im et al. (2003), only capital investment, FDI, and NENCI are stationary at levels, while renewable energy, NEN, CO2, income, trade, and renewable energy-capital investment interaction term are not stationary at levels. Nevertheless, when the panel data are first differenced, all the variables become stationary. So, testing at 5% and 1% significance levels, the null hypothesis of unit root is rejected, and we confirm the stationarity of all the variables among the G20 nations. Then, 2nd-generation PURT result based on Pesaran (2007) is presented in Table 6.

Table 5 1st-Generation PURT
Table 6 2nd-Generation PURT based on Pesaran (2007)

Table 6 shows that capital investment, foreign direct investment, and non-renewable energy-capital investment interaction are stationary at levels, while renewable energy, CO2, NEN, income per capita, trade, and the renewable energy-capital investment interaction term are stationary when first differenced. Therefore, testing at 5% and 1% levels, the hypothesis of homogeneous unit root is rejected. At the same time, stationarity is confirmed for all variables among the G20 nations.

Table 7 presents the Westerlund (2007) panel cointegration test, which appropriately measures long-run relationships in heterogeneous panels. As shown in Table 7, we conduct the cointegration test by bootstrapping the critical values since there is cross-sectional dependence. The optimal lag lengths and leads are chosen using the Akaike information criterion (AIC). We reject the null hypothesis of no cointegration from the table at 1% and confirm the existence of a long-run association among the regressors.

Table 7 Panel cointegration test based on Westerlund (2007) with bootstrap

Tables 8 and 9 present the empirical results. The panel short-run result is shown in Table 8, while Table 9 displays the long-run panel results. Three models are presented using the PMG. ‘Model I’ is estimated without the interaction terms and capital investment, and ‘Model II’ is presented by controlling for capital investment but without the interaction terms. In ‘Model III’, we estimate only the interaction terms and control variables while excluding REN, NEN, and capital investment. This helps remove the possible effect of multicollinearity between RENCI, CI, and REN, on the one hand, and between NENCI, CI, and NEN on the other hand. Also, the stepwise regression makes it possible to ascertain the crucial role of capital investment in the pollution abatement model of the G20 economies.

Table 8 Baseline Estimates for G20, lag length chosen based on AIC (max lag = 1)
Table 9 Baseline estimates for G20, lag length chosen based on AIC (max lag = 1)

The short-run results in Table 8 show that renewable energy use negatively impacts carbon emissions while keeping all the other explanatory variables in models I and II constant. This suggests that renewable energy lowers the amount of pollution in G20. For non-renewable energy, it is evident in Table 8 that it positively affects pollutions. The implication is that while keeping all other variables constant, non-renewable energy consumption enhances short-term emissions in G20. Considering the capital investment result, Table 8 shows its negative impacts on CO2 emissions. Suggesting an increase in capital investment brings about a short-run decrease in CO2 emissions of the G20 nations.

Regarding the interaction terms, evidence suggests that interacting renewable energy with capital investment negatively impacts short-run carbon emissions, while it is positive for the interaction between non-renewable energy and capital investment. Interestingly, Table 8 shows the interaction between non-renewable energy and capital investment exerting a significant short-run positive impact on pollution at 5%. This is unlike the insignificant short-run effects that characterise the other major explanatory variables in models I–III. Finally, concerning the error correction terms (ECT), the ECTs of model I, model II, and model III are significantly negative at critical levels. This corroborates the earlier long-run nexus confirmed by Westerlund (2007) cointegration test. It also means that the models are well specified as there is a convergence towards the long-run path.

Long-run estimates in Table 9 show that in both models I and II, renewable energy negatively and significantly impacts carbon emissions while keeping all the other explanatory variables constant. This means that short- and long-run emissions are lowered by renewable energy in G20. Also, non-renewable energy positively and significantly impacts CO2 emissions in model I (i.e., without the inclusion of capital investment). However, when capital investment is controlled for in model II, consumption of non-renewable energy negatively and significantly impacts G20 emissions. Meanwhile, capital investment exerts a positive and considerable impact on long-run emissions. Therefore, while the result shows that capital investment raises long-run emissions, its presence in the model has helped reverse the positive effects of non-renewable energy use on pollution. Regarding the interaction terms, the long-run findings suggest that the interaction between renewable energy and capital investment exerts a negative and significant effect on pollution. Meanwhile, non-renewable energy and capital investment interaction positively and significantly correlate with pollution. Interestingly, unlike the short-run results, all major variables significantly drive long-run carbon pollution at 5% and 1% significance levels. Economic implications and intuitions of these findings are discussed next.

Discussion of findings

The empirical findings have several economic implications. Firstly, the fact that renewable energy reduces both long- and short-run emissions suggests that renewable energy consumption does not increase pollution in G20 economies. This result is in tune with Shafiei and Salim (2014) and Chen et al. (2019). Moreover, the result is in sync with Bento and Moutinho (2016) for Italy and Dogan and Seker (2016) for top renewable energy nations. Again, having confirmed that non-renewable energies worsened short- and long-run pollutions when estimated without capital investment, it implies that it constitutes the main pollution concern among the G20 nations. These findings corroborate the earlier results, such as Shafiei and Salim (2014), Bento and Moutinho (2016), Dogan and Seker (2016), and Chen et al. (2019). Moreover, since results show that capital investment exerts a short-run negative effect on CO2 emissions, it means that G20 nations can use investment technologies to reduce CO2 emissions. It can also help the G20 countries meet their short-run target for the early 2020 period. It also means that to achieve their 2020 and 2030 goals, they can jointly leverage using environmentally friendly machines to reduce carbon emissions. The capital investment result aligns with Mesagan (2021a) for BRICS.

Moreover, the fact that the inclusion of capital investment reversed the negative effect of non-renewable energy on long-run emissions is striking. The intuition is that capital investment is crucial for reducing the long-run environmental impacts of fossil fuels among the G20 nations. It also means that if the G20 countries can only use clean technologies for production, non-renewable energy consumption will become a tool to reduce pollution instead of increasing it. Besides, since findings show that energy from non-renewable sources positively impacts emissions of CO2, it can only reduce pollution in G20 if its proportion in the overall energy mix is lowered. Also, since interacting capital investment with renewable energy reduces long- and short-run pollution, it re-emphasises the importance of renewable energy in the energy mix of the G20 economies. It implies that if energy consumption is to work through the capital investment channel to lower pollution in the G20, the share of renewable energies must increase compared to the non-renewable ones in their energy mix. Thus, reducing pollution by augmenting non-renewable energy use with capital investment is not an option for G20 nations without significantly reducing fossil fuel energy use. It, therefore, means that fossil fuel energies are the main pollution drivers in the G20, which can be remedied by augmenting it with clean technologies to fast-track global pollution reductions.

Conclusion

The paper analysed the impact of energy use in pollution reduction through the capital investment channel in G20 economies. The study covered the period straddling 1990–2017 using the dynamic heterogeneous panel analysis of the pooled mean group. This study deviated from previous panel studies by accounting for cross-sectional dependence since the considered countries are heterogeneous and are cross-sectionally dependent. The study equally disaggregated energy consumption into non-renewable and renewable to better understand the energy-pollution nexus. Hence, the models are estimated with and without augmenting energy consumption with capital investment. The findings showed renewable energy as lowering CO2 emissions both in the short and long runs, while non-renewable energy increased carbon emissions. Meanwhile, capital investment reduced short-run pollution, but with a contrary result in the long run. Lastly, investment augmented with renewable energy exerts reducing impacts on pollution both in the long and short runs; however, it amplifies pollution impacts when interacted with non-renewable energy. To this end, the study concludes that capital investment provides the crucial channel for reducing pollution in the G20.

Given these findings, we suggest that if energy consumption is to work through the capital investment channel to lower pollution in the G20, the share of renewable energies must increase significantly. Furthermore, G20 countries should also focus on using only clean technologies for production as this will help in augmenting non-renewable energy use to reduce pollution levels. However, the use of renewable energies seems limited for a few countries within the G20 group, as presented in Table 1. Therefore, it is suggested that various national governments in G20 economies should collaborate with private investors to encourage sustainable investments in solar, wind, and other sources of renewable energies. This will help significantly reduce global emissions below the 20°C and preferably 1.50°C preindustrial levels.

Future outlook for the G20 nations

This study throws up several implications for pollution reduction in the G20 nations. Firstly, it is expected that G20 economies will invest massively in more miniature carbon-laden plants in their quest to fulfil their part of the Paris Agreement. Once this happens, the composition effect of emissions would fall and CO2 too. Secondly, this study has further deepened the need for massive investment in renewable energy in coping with the challenges posed by climate change. To this end, we believe that the G20 nations will leverage this result to continue their strides in expanding their solar power plants and other biofuels. Thirdly, our result indicates that capital investment provides the augmenting channel for reducing G20’s non-renewable energy pollution with the condition that the share of renewable energy rises in the mix. Finally, it means that all is not doom and gloom with fossil fuel energy. Hence, projecting into the future up to 2050, the G20 should be looking at boosting climate-friendly investments while still utilising their fossil energy in the short term and gradually building up their renewable energy capacity for the long term.