1 Introduction

Recently, one of the major concerns of nations has become global warming, and particularly the adverse effects that this phenomenon produces on Earth and implicitly on the quality of life. Along with the start of the industrial revolution, there are significant changes at the global level, both economically and socially, which also reflects on the environment.

As an answer to the concerns related to environmental degradation–economic growth nexus, and the desire to synthesize them into a general mission of the population and the competent bodies, the World Commission on Environment and Development (1987) in the report entitled Our Common Future (i.e. Brundtland Report), shaped the definition of sustainable development. According to this publication, ‘‘sustainable development is development that meets the needs of the present without compromising the ability of future generations to meet their own needs’’ (United Nations General Assembly 1987, p. 41).Footnote 1 Indeed, this may not be the first and the perfect attempt to define what sustainable development constitutes, but we surely can argue that is one of the most used and debated explanation in the related literature (see e.g. Seghezzo 2009; Ciegis et al. 2009; Stoddart 2011; Holden et al. 2014, among others). Furthermore, if we look back in history, before the Brundtland report, Malthus (1798) in his book ‘‘Essay on the Principle of Population’’ outlines some important future changing in nations’ economic structure. He argues that the world’s population grows at a geometric rate while the food supply increases at an arithmetic rate, leading over time to exhaustion of natural resources. Later, a report writes by Meadows et al. (1972), and suggestively named ‘‘The Limits to Growth’’ brings to light the same issues related to the excessive increases in population and economy due to industrial expansion, while natural resources follow a downward trend. Authors such as Basiago (1999) and Sandmo (2015) highlight the importance of these two studies as fundamental pillars in the development of environmental and energy economics as an autonomous field.

Consequently, the importance of awareness of environmental protection and its interdependence with specific indicators at the macro- and micro-economic level have become an important topic in the early literature. Besides, along with the development of new theoretical concepts, more and more empirical studies have begun to emerge. Nowadays, as a result of the increase in data availability and the development of more sophisticated statistical techniques, there is a substantial flow of research papers related to the field of environmental and energy economics.

This study aims to review in an integrated framework the key theoretical aspects and give an updated empirical overview of the relationship between environmental degradation and economic growth via the Environmental Kuznets Curve (hereafter EKC) hypothesis. By doing so, first, we tackle the theoretical knowledge regarding the EKC, by stating the most well-known rationales behind its prevalence. Next, we move across towards the research design in terms of EKC testing and provide some details about its fundamental components, namely the model specification, assumptions, econometric methodology, and identification strategy. Second, we survey the empirical papers published in the last decade (i.e. from 2010 to 2019) that focus on developingFootnote 2 and transition economies and investigate the validity of the EKC hypothesis. Therefore, comprising together the latest published research, we would have a more homogeneous picture of the EKC literature. Moreover, along with the rapid development of more advanced statistical techniques and the increase in data availability and quality, the EKC testing approaches have also changed (Dasgupta et al. 2002; Lieb 2003). As such, we are inclined to believe that, on one hand, the recent studies are more accurate vis-à-vis the research design, while, on the other hand, the increased data quality has improved the prediction of EKC both in terms of parameters and turning point estimates. Relying on this intuition, and opposite with the review of He (2007), who targets the SO2 EKC hypothesis for the developing and transition economies and Shahbaz and Sinha (2019), who concentrate on the CO2 EKC hypothesis, we survey the papers independent of pollution indicator used in EKC testing. Also, compared to the survey of Tiba and Omri (2017) on the relationship between energy, environment, and growth, we focus solely on the EKC hypothesis works and provide an updated review of the related literature.

Our findings are as follows. First, several studies reveal a long-term relationship between environmental pollution and income. Thus, the long-run character of EKC seems to prevail and strengthen the belief that the EKC is rather a phenomenon that may be observed over a relatively long period, all the more that the effects of environmental policy are visible after years from implementation. Second, it is encouraging to see that the bell-shaped pattern between pollution and growth seems to emerge frequently for some developing and transition states—perhaps contrary to the general intuition that it is more challenging for these countries, compared to developed ones, to reach the optimal level of growth that could ensure the decline of pollution level, i.e. inducing an upward bending curve. Overall, this may suggest that less developed nations might improve their environmental quality by avoiding and learning from the mistakes made by developed countries, and even switch pollution trends in favor of the environment for a lower income level (Munasinghe 1999; Dinda 2004; Yao et al. 2019). However, the mixed results are expected when spanning different periods and using different pollution indicators, even for the same country or group of countries. Third, in some cases, the estimated turning point lies outside the income sample values. As such, this may imply, on one hand, a possible monotonically increasing pattern between indicators (see e.g. Cole et al. 1997; Stern and Common 2001; Lieb 2003) and, on the other hand, might reveal potential weaknesses in the identification of EKC (see e.g. Bernard et al. 2014). Regarding the latter, it becomes imperative for the researcher to determine the minimum set of assumptions to identify the genuine causal effects between variables and if we refer to the parametric approach to identify the parameters point estimate. Also, a broader perspective in terms of the statistical methods may provide further insights into EKC and narrow some of the related uncertainties. In this fashion, the methods designed to minimize the model assumptions, such as semi-, and nonparametric techniques,Footnote 3 along with the ones that go beyond the time-domain approach, such as wavelet techniques related to the time–frequency domain, may provide a sound basis of comparison for the traditional econometric tools, or vice versa (i.e. parametric methods should be seen as complementary to these methods). Ultimately, a valuable alternative to achieve robustness is when the results of different techniques incline, more or less, towards the same conclusion. For example, based on our short nonparametric descriptive exercise, China exhibits an increasing pattern between CO2 and GDP, a result also suggested by several time-series and panel studies included in our empirical review—although the sign of the associated income coefficients indicate a bell-shaped pattern, some studies find turning points that lie outside the income sample range, thus, indicating a positive relationship.Footnote 4

The rest of the paper is organized as follows. Section 2 discusses the theoretical arguments that constitute the basis of the bell-shaped pattern between pollution and economic growth, Sect. 3 explores the potential patterns between CO2 emissions and economic growth descriptively, Sect. 4 reviews the empirical studies on EKC, and Sect. 5 concludes and provide some policy implications.

2 Theoretical aspects of EKC

Presumably, one of the most tested hypotheses in the literature that stresses the relationship between environmental degradation and economic growth is the EKC hypothesis. The assumption that the link between pollution and economic growth follows a bell-shaped pattern is first introduced in the literature by Grossman and Krueger (1991). In their seminal paper, the authors analyze the implications that the North American Free Trade Agreement (NAFTA) has on the environment through the medium of economic growth. Based on the empirical findings, they conclude that the form of the relationship between economic growth and environmental degradation is inverted U shaped. Thus, the quality of the environment tends to deteriorate along with economic growth until an income threshold is reached, from which the trend is reversed in favor of the environment. Approximately during the same period, Shafik and Bandyopadhyay (1992) and Panayotou (1993) also search into the implications of economic growth on the environment, while the latter named the relationship between these two macro-indicators the EKC.

2.1 The rationale behind the EKC hypothesis

Throughout the years, the number of studies that have approached both theoretically and empirically the EKC hypothesis and its extensions have increased considerably. Most researchers have tried to answer the following question: which are the drivers that shape the relationship between environmental degradation and economic development? Some authors provide potential explanations based on economic intuition. In contrast, others develop well-grounded theoretical models around a series of assumptions and/or restrictions which at least theoretically generate a bell-shaped pattern between pollution and economic growth. In the following, we look at some well-known rationale behind the EKC hypothesis provided by the existing literature, from both the sides of economic intuition and theory, and briefly discuss them.

First, Grossman and Krueger (1991) argue that the scale, structural, and technological effect may explain the nexus between pollution and growth. The scale effect manifests as a result of economic activity expanse, which in turn induces a rise in the pollution levels. In contrast, structural or compositional effect accounts for the structural changes that take place within the economy. Furthermore, once nations attain industrial apogee, they focus more on the development of information-based industries and services. Thus, as a state becomes intensive in services, it ensures a higher economic growth rate, and eventually, a steady decline in environmental degradation. Besides, in the post-industrial phase, countries have the necessary resources to invest in research, development, and innovation programs, and due to technological advancement, old technologies are gradually replaced with more efficient and less polluting ones (Panayotou 1993, 2003).

Second, the nation’s economic development also implies an increase in the population income. As such, if the quality of the environment is regarded as a normal good, its demand may be influenced positively. In the related literature, some researchers have empirically confirmed the presumption that environmental quality is a normal good (see e.g. Kristrom and Riera 1996; Bruneau and Echevarria 2009; Martini and Tiezzi 2014), while researchers such as Pearce and Palmer (2005) and Ghalwash (2007) have argued that the quality of the environment is more a luxury good. Consequently, the soundness of the EKC hypothesis may be a consequence of these fluctuations in the income elasticity of demand for environmental improvement.

Third, along with the rise in income, the individual’s perception of the adverse effects of environmental degradation on quality of life also increases. As an overall outcome, compared to poorer countries, developed states tend to adopt more stringent environmental policies and regulations. Hence, in developing states, environmental regulations are fewer, and they are prone to become pollution havens for dirty industries that migrate from developed ones (Lucas et al. 1992). Also, authors such as Stern et al. (1996), Suri and Chapman (1998), and Stern (2003), among others, advocate that the bell-shaped pattern for developed nations may be explained through the implications of trade. Moreover, researchers such as Dasgupta et al. (2002), among others, argue that improvements in environmental quality are possible even in developing countries. Besides, the pollution may follow a downward trend for a lower level of income than those experienced by developed countries, considering the increase in the availability and novelty of methods to combat pollution.

Fourth, in the early literature, some authors provide theoretical models that attempt to explain the EKC behavior. In this fashion, some of these early theoretical works are discussed in the well-known study of Stern (2004). Likewise, more recently, Kijima et al. (2010) provide a comprehensive and valuable survey on both theoretical static and dynamic models behind the EKC hypothesis with detailed mathematical explanations, along with a review on empirical analysis. In Table 1, we summarize these theoretical contributions concerning the EKC hypothesis as they appear in Kijima et al. (2010).

Table 1 Theoretical studies on EKC based on Kijima et al. (2010)

In addition to these theoretical works, Brock and Taylor (2010) taking stock of the earlier theory literature (e.g. Stokey 1998) establish the EKC hypothesis—Solow model nexus. In their seminal contribution, the authors use the underlying assumptions of the well-known neoclassical growth model introduced by Solow (1956) and account for environmental pollution in the main equation of the Cobb–Douglas production function. As such, they developed a new model (i.e. Green Solow model) which provides a theoretical setup that may explain the bell-shaped pattern between pollution and economic growth through the same forces that assure the course of economic growth, namely the law of diminishing returns and the advancement of new technology (Brock and Taylor 2010). Subsequently, as Kijima et al. (2010) argue, the Green Solow model is ‘‘a macroeconomic dynamic model in which total production is allocated to consumption and abatement expenditure’’ (Kijima et al. 2010, p. 1193). Indeed, the Green Solow model is a simple dynamic model that may give a strong rationale behind the EKC hypothesis, and an adapted empirically testable convergence equation for emissions per capita.

Conversely, Ordás Criado et al. (2011) further develop the Green Solow model and provide a theoretical framework in which the reduction in pollution is endogenously determined. In particular, the theoretical predictions formulated by authors suggest that through the scale (defensive) effect, the growth rates in pollution are associated positively (negatively) with GDP growth (emissions levels). Next, using convergence-type equations estimated based on three different econometric approaches (i.e. parametric, semi-, and nonparametric), the authors show that the data validate both the scale and defensive effect. Besides, the possible reverse causality between pollution and growth implied by the theoretical model is addressed empirically by employing instrumental variables. Overall, the empirical findings suggest that the more flexible specifications (semi-, and nonparametric) are preferred when modeling the data, compared with the classical parametric ones. Moreover, opposed to Brock and Taylor (2010), who link CO2 emissions (a global stock pollutant) with economic growth, the theoretical model introduced in Ordás Criado et al. (2011) is designed for local flow pollutants, such as SO2 and NOx emissions.

In this sub-section, we review some notable empirical and theoretical works that target the pollution-growth nexus and seek directly, or at least indirectly, into the rationale that may explain the bell-shaped pattern between the indicators. However, as also suggested by these studies, the reasons behind the validity of the EKC hypothesis are more diverse, and in the related theoretical and empirical literature, the views are also mixed. Among the researchers who provide literature surveys, critics and search into the rationale of EKC hypothesis, we mention the works of Stern et al. (1996), Borghesi (1999), Lieb (2003), Dinda (2004), Stern (2004), He (2007), Carson (2009), Bo (2011), Pasten and Figueroa (2012), Kaika and Zervas (2013a, b, Stern (2015), and Tiba and Omri (2017).

2.2 Model specification, assumptions, econometric methodology, and identification strategy

2.2.1 Model specification

The classical and probably the most used empirical strategy to model the link between environmental degradation and economic growth is through the polynomial equations of the second, and third degree (see e.g. Grossman and Krueger 1991; Panayotou 1993; and the more recent studies of Miyama and Managi 2014; Lazăr et al. 2019; Chen et al. 2019b; among others). The use of quadratic function allows testing the traditional EKC hypothesis (i.e. the potential bell-shaped pattern between pollution and growth), while the specification of a higher polynomial order, such as the cubic function, allows the representation of multiple patterns. These patterns cover the N shape (a potential extended EKC when the coefficient of income, squared income and cubic income is positive, negative and positive, respectively, and statistically significant), the traditional bell-shaped pattern (the coefficient of income and squared income is positive and negative, respectively, and statistically significant), and also a monotonic increasing (decreasing) relationship when only the income coefficient is statistically significant and positive (negative). Indeed, modeling the EKC through the parametric approach implies that the functional form and also the distribution are already assumedFootnote 5 (Miyama and Managi 2014). Thus, for example, an imposed shape of the relationship through the introduction in the equation of a squared or cubic income term, when the relationship is linear, could induce weak identification, and also could bias the turning point (Bernard et al. 2014). However, to reduce the bias that may potentially arise from imposing a specific functional form, econometrically one may (i) assume the largest polynomial, i.e. cubic specification, and estimate sequentially also the quadratic and linear equation to show consistency in coefficients’ significance (for example, if the income terms are statistically significant in a third-order polynomial equation, intuitively in the second-order polynomial equation they should lack statistical significance; see e.g. Lazăr et al. 2019) (ii) use specific tests for the presence of a potential nonlinear relationship (see e.g. Lind and Mehlum 2010), or (iii) employ simultaneous with the parametric techniques also the semi-, and nonparametric alternatives to assure robustness, or at least to deduce a pattern between variables descriptively (see e.g. Millimet et al. 2003; Ordás Criado et al. 2011; Bernard et al. 2014; among others). Besides, it is worth noting that not only the results obtained for the income coefficients signs, but also equally, the presence or absence of a turning point helps in determining the pattern followed by the data.

A second strand of studies (see e.g. Millimet et al. 2003; Tsurumi and Managi 2010a, b; Ordás Criado et al. 2011; Chen and Chen 2015; Sen et al. 2016; Zhang et al. 2017; Luzzati et al. 2018; among others) have challenged the classical parametric approaches, which most are based on an imposed order for the polynomial equation, by estimating the pollution-income nexus using more flexible empirical strategies, such as semi-, and nonparametric methods. In this regard, the findings of Millimet et al. (2003) and Ordás Criado et al. (2011) show that compared to parametric counterparts, the semi-, and nonparametric alternatives are preferred when modeling the data. Although the amount of semi- and nonparametrical EKC literature has increased over the years, it remains relatively low compared to parametric one. First, one of the reasons may be related to the well-known curse of dimensionality issues in fully nonparametric models, induced when many factors are included in the equation. Bearing in mind a crucial and well-debated econometric objection about EKC, namely the omitted variable bias (see e.g. Stern 2004), there is a need to account for at least the most influential factors of pollution along with the income (e.g. energy consumption, trade, foreign direct investments, structure of economy, globalization, economic freedom—to mention just a few of them) to obtain reliable and consistent results. Consequently, the curse of dimensionality could be a plausible impediment in applying nonparametric methods, but it can also be alleviated by working with semi-parametric methods. Second, the graphical representation results of semi- and nonparametrical models may be more complex and harder to interpret, thereby most researchers seem to prefer more straightforward results, such as point estimates. Third, the insufficiency of clear-cut statistical inference procedures in the nonparametric field could influence its soundness and applicability. Forth, usually in economics and also in energy and environmental economics sub-fields, the vast majority of studies rely on some theories or prior empirical evidence. Therefore, in most cases, the specification of the model is already predefined. Furthermore, these theories and empirical regularities—some of the well-known mentioned in the above sub-section—come along with different (parameters) assumptions and/or restrictions, which may be more convenient to address through parametric techniques. Some of these possible deficiencies of semi-, and nonparametric models are also acknowledged in the context of EKC estimation by authors such as Tsurumi and Managi (2010a) and Bernard et al. (2014), among others.

2.2.2 Model assumptions and econometric methodology

Although in the last two decades, some theories regarding the validity of EKC have emerged in the literature, the vast majority of the studies rely mostly only on econometric assumptions and/or restrictions (e.g. exogeneity, long-, and/or short-run homogeneity and heterogeneity, order of integration—for the independent factors; equal variance, lack of autocorrelation, normality—for residuals; persistence, order of integration—for endogenous variable; among others), in modeling the relationship between pollution and economic growth.

On one hand, the potential econometric issues (e.g. cross-sectional dependence, time-series properties, such as stationarity and cointegration, endogeneity bias caused by simultaneity, omitted variables, models misspecification, dynamic endogeneity or data measurement errors; among others) that can arise in estimating the pollution-growth nexus and produce biased estimates, if they are neglected, could be reduced by considering a (minimum) set of assumptions. However, it is generally acknowledged that both the data and sample characteristics play an essential role in dictating the choice of the most appropriate model specification and also the optimum econometric strategy. For instance, in testing EKC, the parameters’ homogeneity assumption in panel data models may be too restrictive, and the overall results may not describe the real general or individual pattern for each panel member (see e.g. Stern 2010; Kaika and Zervas 2013a, b). Therefore, if the turning point occurs at the panel level, the behavior does not need to be preserved at the country level, and the turning point could be well above the observed income values. As Bernard et al. (2014) point out, when working with a panel composed of different countries, disaggregation may be a valid solution to mitigate the bias of data pooling.

In the view of the previous, recent studies, such as Barra and Zotti (2017), illustrate for a sample of 120 countries spanned over 2000–2009 that once considering the nonstationarity property of the data, the evidence of an inverted U-shaped relationship between CO2 emissions and GDP vanishes in favor of a monotonic increasing one. Besides, to overcome the different sample composition issues, the authors eliminate alternatively from the sample the same geographical region and income distribution states. Overall, the estimates suggest that the sample composition reshapes the main findings. Furthermore, Miyama and Managi (2014), among others, suggest that excluding low-income countries from analysis due to data availability may alter the results. As such, to deal with missing data problems and its undesirable consequences on EKC estimation, they propose a series of imputation methods. Also, Stern and Common (2001) suggest that the inclusion or exclusion of developing states from the analysis may influence the occurrence of a turning point.

On the other hand, the development of novel panelFootnote 6 estimators that allow for different long-, and short-run slope assumptions (see e.g. the panel ARDL technique with the associated Pooled Mean-Group, Mean-Group, and Dynamic Fixed Effects estimators discussed in Pesaran et al. 1999), which are also robust to various potential econometric problems, such as the different order of integration for regressors, and variables’ cointegration (see e.g. Pesaran and Smith 1995; Pesaran 2006; Eberhardt and Bond 2009; Eberhardt and Teal 2010), cross-sectional dependence (see e.g. Pesaran 2006; Eberhardt and Bond 2009; Eberhardt and Teal 2010; Chudik and Pesaran 2015; Chudik et al. 2016), and endogeneity (see e.g. Pesaran et al. 1999; Chudik and Pesaran 2015; Chudik et al. 2016) facilitate the EKC estimation. Besides, the preliminary analysis techniques, such as stationarity and cointegration tests, have also been developed to deal with cross-sectional dependence, parameter heterogeneity, among other potential econometric issues. Nonetheless, taking note of the aspects mentioned above is ultimately the task of the researcher to properly formulate the set of assumptions and adapt the methods to sample particularities.

2.2.3 Identification strategy

The assumptions and restrictions consider by the researcher help in shaping the proper identification strategy and inference. In the light of previous EKC literature, which provides no consensus on its validity and the associated turning point, the recent landmark study of Bernard et al. (2014) waves a red flag regarding the weak identification of both EKC and the related turning point. More specifically, the authors investigate the estimation precision of the EKC turning point using Delta and Fieller method, while controlling for a wide set of potential econometric issues (i.e. endogeneity, persistence, and functional form). The overall findings show that the estimation of the EKC turning point lacks precision (i.e. the associated confidence intervals are very large) and, thus, the policy implications based on EKC may be altered. However, the results suggest that precision is higher when considering local pollutants, a long-term perspective, or nonparametric alternatives.

In the same manner, few years before the study of Bernard et al. (2014), the seminal work of Wagner (2008) and Vollebergh et al. (2009) highlights some of the most prominent weaknesses of EKC econometrics since its grounding, and raise the relevance of its identification, respectively. On one hand, Wagner (2008) discusses two econometric issues that lately have governed the panel data EKC literature, namely the stochastic properties of nonlinear terms of integrated variables and the cross-sectional dependence. In particular, the author shows that employing standard nonstationary panel data techniques, which do not take into account the nonlinear transformations of integrated variables and cross-sectional dependence, the bell-shaped pattern between emissions and income holds. However, when using stationary de-factored data to deal with the problems mentioned above and appropriate estimation techniques, the EKC hypothesis seems to be invalidated (all the more, these findings are robust for a comprehensive set of tests, and when the poolability assumption is relaxed). The estimations are conducted on a reduce model between CO2 (SO2) and GDP for a panel of 100 (97) countries spanned over the period 1950–2000.

On the other hand, Vollebergh et al. (2009) go beyond the standard econometric issues and emphasize the relevance of a proper identification strategy as a starting point in investigating the reduced form pollution-income nexus in panel data. Considering that one can distinguish between the impact of income and time effects on pollution, the authors argue that countries alike are characterized by identical time effects. Accordingly, the corroborated estimates of the income and time effects on CO2 and SO2 emissions for 24 OECD countries over the period 1960–2000, based on the pairwise differencing technique, show that the bell-shaped pattern holds only for SO2 emissions (i.e. a locally regulated pollutant). Overall, the work of Vollebergh et al. (2009) may suggest that imposing different identifying restrictions for the exogenous variable (income) and control variable (time) yield to different model specifications, and in turn, to different findings regarding the pollution-income patterns. Besides, the authors establish a solid link between the theoretical models on EKC (see e.g. Brock and Taylor 2005, 2010; Ordás Criado et al. 2011), and the minimal set of requirements needed for the identification of pollution-income nexus in EKC context.

In addition, Stern (2010) addresses both the issues pointed by Wagner (2008) and Vollebergh et al. (2009), namely the higher order terms of integrated income variable, the cross-sectional dependence, and the identification of income and time effects in EKC reduced models, through the between estimation technique. Using the same datasets for CO2 and SO2 emissions as Wagner (2008) and Vollebergh et al. (2009), the author shows that overall the results do not validate the traditional EKC hypothesis. In the same vein, the study of Stern et al. (2017) considers both the problems raised by Wagner (2008) and Volleberg et al. (2009) and also the omitted variable bias of between estimator employed in Stern (2010). As such, to mitigate their related undesirable effects on EKC results, the authors suggest working to long-run growth rates of pollution and income variables, while adding additional factors to account for the variation around the trend. The findings indicate that the EKC is not at work both for the full sample of CO2 and SO2 emissions. Moreover, Sen et al. (2016) use a slightly modified identification strategy for income and time effects, based on the pairwise differencing approach as Vollebergh et al. (2009), and further control for the potential issues caused by nonstationarity, employing nonlinear nonstationary parametric and nonparametric techniques. The overall findings indicate that the time effects do not have the power to detract the positive income effects, pointing out that the regional CO2 EKC hypothesis is not at work for the period 1950–2010.

Here, we discussed some of the latest most influential studies that couple the EKC with the relevance of identification procedures. The general idea of these studies lies in the fact that a large part of the empirical EKC literature lacks in providing a (reasonable) identification strategy, which reflects in misleading findings concerning its validity and the computation of associated turning point. Consequently, the identification of the pollution-growth nexus should not be ‘‘taking as is given’’, but rather assembled through convincing assumptions and investigated using appropriate econometric tools.

3 CO2 emissions’ stylized facts: a short descriptive empirical exercise

Clear evidence of deterioration in the quality of the environment is the sharp increase in greenhouse gas (GHG) emissions following human activities, in the post-industrial period, compared to the levels recorded prior to it. Also, CO2 is considered to be the greatest environmental threat, given the rapidity that its concentrations have increased over the years. During the pre-industrial period, the atmospheric CO2 concentration resulting from the combustion of fossil fuels is about 280 parts per million (ppm),Footnote 7 while in 2016, it reaches about 403 ppm, on average. Put differently, due to fossil fuel combustion and cement production, in 2016, the atmospheric CO2 is 145% above pre-industrial levels (see World Meteorological Organization 2017).Footnote 8

Moreover, the CO2 emissions account for 72% of global GHG emissions in 2016, while 50% of this CO2 emissions come from electricity and heat production together with the industry sector. According to Olivier et al. (2017), the top six CO2 emitters in 2016 are China, the United States (US), India, the Russian Federation, Japan, and the European Union(28) (EU28), being responsible for approximatively 68% and 63% of total global CO2 and total GHG emissions, respectively. However, in 2016, the CO2 emissions decline in the Russian Federation (− 2.1%), US (− 2.0%), Japan (− 1.2%) and China (− 0.3%), while an increase is registered in India (4.7%) and the EU(28) (0.2%) (Olivier et al. 2017). Besides, the CO2 emissions are just an example of an air pollutant that contributes to the degradation of the environment, but the spectrum is much broader (e.g. air, water, land, noise, and light pollutants). Indeed, a vast majority of empirical studies have used CO2 emissions as a proxy for environmental degradation (see e.g. Tables 2 and 3 in the next section). Perhaps, its importance to climate change and data availability have determined the researchers to focus more on its related impacts, in comparison to other types of pollutants.

Table 2 Panel data literature survey
Table 3 Time-series literature survey

Consequently, considering four out of six top CO2 emitters mentioned above [i.e. China, India, the Russian Federation, and the EU(28)], and also the global level (i.e. the World), we illustrate the relationship between CO2 emissions and GDP per capita descriptively,Footnote 9 using both descriptive and nonparametric statistical techniques. Regarding the nonparametric techniques, we employ the local linear, local polynomial, and lowess nonparametric regressions models to better disentangle the pattern between CO2 pollution and economic growth. By doing so, we consider the standard specification of a general nonparametric model as follows:

$$y = \phi \left( x \right) + \varepsilon .$$
(1)

We proxy environmental degradation by CO2 emissions per capita and economic growth by GDP per capita (constant 2010 US$). The data are collected from the World Bank (2018) and the Janssens-Maenhout et al. (2017), for the period 1970–2016.Footnote 10 Next, Eq. (1) becomes:

$${\text{CO}}_{ 2} = \phi \left( {\text{GDP}} \right) + \varepsilon .$$
(2)

The CO2 is the endogenous variable, GDP is the predictor variable and \(\varepsilon \sim {\text{NID}}\left( {0,\sigma^{2} } \right)\) the error term. \(\phi \left( . \right)\) denotes the unknown smooth continuous function, whose functional form is not specified, i.e. is estimated based on data.Footnote 11

Column (a) from Fig. 1 displays the evolution of CO2 emissions and GDP for each country. In contrast, column (b) and column (c) show the scatter plot between indicators, and the curve fitting of nonparametric regressions,Footnote 12 respectively. First, we can observe that China, India, and the World exhibit a relatively smooth monotonically increasing relationship. At the same time, in the EU(28), and the Russian Federation, the nonlinearities are more pronounced. Second, overall, the pollution decreases with economic development in the EU(28), and we note the opposite in the remaining cases. Third, judging at the descriptive level, the EKC hypothesis seems to hold only for the Russian Federation. Altogether, the straightforward descriptive analysis from Fig. 1 emphasizes some important disparities related to the relationship between CO2 emissions and growth among countries considered. In the next section, we aim at presenting more in-depth empirical findings related to pollution-growth patterns of some recent studies that have tested the EKC hypothesis.

Fig. 1
figure 1

CO2-GDP nexus graphs. Notes Column a shows the evolution of CO2 emissions and GDP per capita during the period analyzed. In column b, along with the scatterplot, we fitted a local constant kernel regression with 95% confidence bands. In column c, we performed a local linear, local polynomial of degree(4) and lowess regression. For the kernel, local linear, and local polynomial, we specify the default Epanechnikov function and (0.1) bandwidth. The default bandwidth option is used for lowess regression

4 Empirical literature review on EKC hypothesis

Our survey attempts to bring together some of the papers that have stressed the relationship between pollution and growth through the EKC hypothesis for developing and transition states, and are published in the literature during the period from 2010 to 2019.Footnote 13 In this respect, first, we divide our empirical literature review into three parts, namely panel data analysis, time-series analysis, and the last part, which addresses some of the new perspectives on modeling environmental degradation and economic growth nexus. The first two parts are related to the time-domain approach,Footnote 14 while the last one lies both in time and time–frequency domain. Moreover, each of these parts corresponds to one standalone sub-section as below. Second, related to each paper, we provide information about the authors and the year of publication, sample, time span, empirical methodology, endogenous variable, pollution-growth pattern, and the estimated income turning point value.

4.1 Panel data analysis

Table 2 displays the studies that use panel data models to explore the EKC hypothesis. For a more homogeneous view, we split the items based on the specific technique approached, namely cointegration techniques and other panel data methods.

The first strand of studies uses larger groups of countries, which are further divided according to income level, and test the EKC hypothesis for the sub-samples of developing and/or transition countries (see Albulescu et al. 2019; Chen et al. 2019a, b; Kim et al. 2019; Ridzuan 2019; Alvarado et al. 2018; Luzzati et al. 2018; Omri 2018; Ulucak and Bilgili 2018). The majority of these works use CO2 emissions as the leading indicator of environmental pollution, except Ulucak and Bilgili (2018), who proxy environmental degradation with the ecological footprint, and Chen et al. (2019a, b) and Ridzuan (2019) who use local pollutants. Moreover, two studies out of eight, namely Omri (2018) and Ulucak and Bilgili (2018), employ cointegration techniques, and both provide evidence in favor of the traditional EKC hypothesis. Likewise, the remaining works employ other panel data models, such as FE, RE, 2SLS, quantile regression models or semi-, and nonparametric models. Overall, the findings indicate a bell-shaped pattern between pollution and growth (with the notable exception of Luzzati et al. 2018, who find a monotonically increasing pattern for CO2 emissions and a U-shaped pattern for total primary energy supply). Regarding the turning point, Chen et al. (2019a, b), for the inverted U-shaped curve, estimate that its value in per capita terms equals 9112.90 US$ (PM2.5), 8102.51 US$ (PM10), and 9901.53 US$ (SO2), while Luzzati et al. (2018), for the U-shaped curve, find that its value is 498 US$ (total primary energy supply).

The second strand of studies investigates the EKC validity considering almost exclusively developing and transition economies samples. In this regard, Leblois et al. (2017) examine the deforestation rate EKC hypothesis for a group of 128 developing countries over the period 2002–2010. Based on the FE estimator, the results suggest the lack of a significant statistical link between environmental degradation and economic growth. In the same vein, Culas (2012) explores the relationship between the rate of deforestation and growth for 43 tropical developing nations, categorized by geographical region, namely, Latin America, Africa, and Asia. The findings reveal a bell-shaped pattern for Latin America and Africa, with a turning point computed at 6072 and 1483 US$ per capita, respectively. For Asia, the relationship is found to be U shaped, and the level of GDP for which the rate of deforestation switches its trend is about 2320 US$ per capita. Also, Joshi and Beck (2018) point out that the relationship between CO2 emissions and growth for 87 non-OECD countries is monotonically increasing. Hove and Tursoy (2019) and Özokcu and Özdemir (2017) also test the EKC hypothesis for 24 and 52 emerging countries, respectively. The former authors show that the pattern is inverted U shaped (U shaped) for nitrous oxide emissions (CO2 emissions and fossil fuel consumption). In contrast, the latter authors unveil an N-shaped pattern for CO2 emissions.

Furthermore, to examine the pollution-growth pattern, several researchers use specific group of countries, namely MENA or Middle East states (Arouri et al. 2012; Ozcan 2013; Charfeddine and Mrabet 2017), BRIC states (Pao and Tsai 2010, 2011), African states (Osabuohien et al. 2014; Awad 2019), ASEAN or Asian states (Hanif et al. 2019; Nasir et al. 2019), CEE states (Lazăr et al. 2019), SAARC states (Waqih et al. 2019), or newly industrialized states (Destek and Sarkodie 2019). As such, Arouri et al. (2012) validate the CO2 EKC hypothesis for 12 MENA states covering the period 1981–2005. The turning point of CO2 emissions is found for a GDP level of 37,263 US$ per capita. Charfeddine and Mrabet (2017) test the EKC hypothesis for ecological footprint using a sample of 15 MENA countries observed over the period 1995–2007. The empirical findings suggest a bell-shaped pattern for the whole sample and oil-exporting countries and a U-shaped pattern for non-oil-exporting countries. Likewise, the results provided by Ozcan (2013), based on the FMOLS estimator, unveil a U-shaped pattern between CO2 emissions and growth, with an income threshold equals to 8.23 in logs. The study is conducted for 12 Middle East nations, span over the period from 1990 to 2008. Also, using cointegration techniques, Pao and Tsai (2010, 2011) confirm the presence of the bell-shaped pattern between CO2 emissions and growth in BRIC countries. The computed income turning points for the convex curve are 5.638 and 5.393 in logs, respectively. Moreover, Awad (2019) for 46 African states and Osabuohien et al. (2014) for 50 African states find evidence in favor of the EKC hypothesis, both for CO2 emissions and air pollution measured as mean annual exposure, and CO2 and PM10 emissions, respectively. In the same vein, for 15 developing Asian states using the ARDL approach, Hanif et al. (2019) validate the CO2 EKC hypothesis, while Nasir et al. (2019) for 5 ASEAN economies using FMOLS and DOLS estimators unveil a monotonically increasing pattern. Besides, the findings of Destek and Sarkodie (2019) for 11 newly industrialized countries, and Waqih et al. (2019) for 4 SAARC countries, using panel cointegration techniques, reveal a bell-shaped pattern for ecological footprint and CO2 emissions, respectively. Also, Lazăr et al. (2019) unveil a monotonically increasing pattern between economic growth and a series of pollution indicators, such as CO2 emissions, SO2 emissions, biocapacity, and ecological footprint. The authors employ a series of heterogeneous panel estimators, namely MG-FMOLS, MG, and AMG, for CEE states over the period 1996–2015. On this last point, it is worth noting that all these papers use panel cointegration techniques to investigate the pollution-growth nexus pattern.

The third strand of works uses panel data models to investigate the pattern between pollution and growth for Chinese provinces. In this regard, a group of studies shows that EKC is at work for Chinese provinces (Du et al. 2012; Chen and Chen 2015; Hao et al. 2016; Li et al. 2016; Wang et al. 2016; Zhang et al. 2017; Chen et al. 2018; Hao et al. 2018b; Wenbo and Yan 2018; Liu et al. 2019), while other studies reveal either an inverted N-shaped pattern (Liu et al. 2015; Kang et al. 2016; Li et al. 2019; Zhao et al. 2019) or a monotonically increasing pattern (Yang et al. 2015). More specifically, evidence in favor of EKC hypothesis is found for CO2 emissions (Du et al. 2012; Chen and Chen 2015; Li et al. 2016; Chen et al. 2018; Wenbo and Yan 2018; Liu et al. 2019), CO2 emission intensity (Wenbo and Yan 2018), SO2 emissions (Wang et al. 2016), coal consumption (Hao et al. 2016), wastewater and solid waste emissions (Li et al. 2016), COD and NH3–N emissions (Zhang et al. 2017), and soot and dust emissions (Chen et al. 2018). Moreover, the inverted N-shaped pattern occurs for CO2 emissions (Liu et al. 2015; Kang et al. 2016), SO2 emissions and solid waste (Zhao et al. 2019), and carbon intensity of human wellbeing (Li et al. 2019). Besides, Yang et al. (2015) find a monotonically increasing relationship for CO2 emissions and industrial gas, while Hao et al. (2018b) a U-shaped pattern for the environmental quality index, which translates in a bell-shaped one, as the dependent variable is an inverse indicator of environmental degradation. With respect to the income turning points, the recent studies of Li et al. (2019) and Zhao et al. (2019) show that their estimated values based on the inverted N-shaped curve are 850 and 110,000 yuan per capita for carbon intensity of human wellbeing, and 4057 and 24,484 yuan per capita (4298 and 33,355 yuan per capita) for SO2 emissions (solid waste), respectively. Moreover, for CO2 emissions, Chen and Chen (2015) and Liu et al. (2019) find an income peak of the bell-shaped curve equals to 49,813.79 and 55,297.3 yuan per capita, respectively. Hao et al. (2016) show that the value of the income threshold of the coal consumption bell-shaped curve ranges between 18,456 and 23,585 yuan per capita (39,692–48,521 yuan per capita) for classical panel models (spatial panel models). Additionally, studies such as Du et al. (2012), Kang et al. (2016), Li et al. (2016), Hao et al. (2018b), and Li et al. (2019) find turning points that lie outside the income range values. However, the EKC patterns and the estimated turning points depend on the sample size (i.e. the number of provinces included), the period analyzed, and the proxy used for environmental degradation.

Other studies examine the EKC hypothesis either for the economic sectors of Iranian provinces (Dehghan Shabani and Shahnazi 2018), metropolitan regions of Republic of Korea (Park and Lee 2011), Indian cities (Sinha and Bhattacharya 2017), or Chinese cities (Stern and Zha 2016; Hao et al. 2018a). On one hand, the results of Dehghan Shabani and Shahnazi (2018) based on the DOLS estimator illustrate that the EKC is at work for the period 2002–2013 for all economic sectors (i.e. agricultural, industrial, transportation, and services sector). However, the estimated turning points, namely 0.134 in logs (agricultural sector), 0.918 in logs (industrial sector), 0.880 in logs (transportation sector), and 0.555 in logs (services sector), are above the average GDP value for each sector. On the other hand, Sinha and Bhattacharya (2017) use a sample of 139 Indian cities and test the SO2 EKC hypothesis for the period 2001–2013. Overall, the authors find a bell-shaped pattern for industrial and industrial high-income areas, while for industrial low-income areas, the relationship seems to be N shaped. Also, for residential areas, the SO2-growth nexus pattern does not exhibit nonlinearities. The SO2 emissions peak varies from 18.87 to 1110.10 Rs. Lacs, for the electricity consumption model, and from 20.51 to 1564.36 Rs. Lacs, for the petroleum consumption model, according to income level sub-samples. Both the lowest values, i.e. 18.87 and 20.51, are situated outside the income range values. In the same vein, Stern and Zha (2016) investigate the EKC hypothesis for 50 Chinese cities over the period 2013–2014 using both the growth rates and traditional EKC models. Overall, according to both approaches, the pattern between pollution and growth seems to be U shaped. Also, the computed turning point based on the traditional model and FE estimator is 453,454 RMB per capita for PM2.5 (yet not statistically significant) and 87,493 RMB per capita for PM10. Also, Hao et al. (2018a) test the pollution-growth nexus pattern for 283 Chinese cities span over 2003–2010. The authors use three environmental degradation indicators, namely SO2 emissions, industrial soot emissions, and industrial wastewater discharge, and apply the GMM technique. They show that the inverted U-shaped curve holds for soot emissions, while for SO2 emissions, the pattern is U shaped. Furthermore, using a dataset of 16 metropolitan regions from the Republic of Korea, covering the period 1990–2005, Park and Lee (2011) show that relationship form between SO2 emissions and growth is N shaped (with the peak equals to 5700 US$ and the trough equals to 28,000 US$ per capita). Conversely, a U-shaped curve is at work for CO2 emissions (with the peak that ranges from 26,400 US$ to 30,000 US$ per capita) and NO2 emissions (with the peak equals to 27,600 US$ per capita).

4.2 Time-series analysis

The country-specific works that tackle the relationship between growth and environmental pollution through the EKC hypothesis are listed in Table 3. At first glance, we can observe that most researchers use the ARDL bounds test approach technique to investigate the validity of the EKC hypothesis. Also, the FMOLS and DOLS techniques appear frequently as econometric tools in investigating pollution-growth pattern.

First, focusing on China, several contributions (Jalil and Feridun 2011; Jayanthakumaran et al. 2012; Alam et al. 2016; Adebola Solarin et al. 2017; Wolde-Rufael and Idowu 2017; Riti et al. 2017; Dong et al. 2018; Chen et al. 2019) find empirical evidence in favor of traditional CO2 EKC hypothesis. Also, while Riti et al. (2017) estimate the peak value of the bell-shaped curve within the income range values, the findings of Jalil and Feridun (2011) and Dong et al. (2018) indicate that the turning point lies outside the sample values. However, the authors cover different periods, and in particular, the three studies which compute the bell-shaped curve maxima, span the period 1978–2006 (Jalil and Feridun 2011), 1970–2015 (Riti et al. 2017), and 1993–2016 (Dong et al. 2018). Conversely, Onafowora and Owoye (2014) conclude that the pattern between CO2 emission and growth is N shaped, while the associated income peak is equal to 17.050 in logs, and outside of sample values. Moreover, based on the FMOLS estimator, Yao et al. (2019) reveal a monotonically increasing relationship for CO2 emissions. Besides, using environmental quality index (i.e. an inverse indicator of environmental pollution), the results provided by Wang et al. (2015) validate the EKC hypothesis for Gansu province in China. More specifically, the authors employ a Bayesian VAR model, and find a U-shaped pattern between the indicators for the period 1980–2012, with the estimated income threshold value of 2273 RMB per capita.

Second, for Malaysia, the empirical findings seems to cover a broad spectrum of patterns, such as the traditional bell shaped (Saboori et al. 2012; Saboori and Sulaiman 2013b; Lau et al. 2014; Ali et al. 2017; Azam et al. 2018), the U shaped (Begum et al. 2015; Chandran and Tang 2013), the inverted N shaped (Bekhet and Othman 2018), the monotonically increasing relationship (Azlina et al. 2014), or no statistical link (Saboori and Sulaiman 2013a). Furthermore, Saboori et al. (2012) and Saboori and Sulaiman (2013b) unveil that the computed GDP maxima of the bell-shaped curve for the period 1980–2009 is 4700 US$ per capita, and depending on the model 5378/5825/6003/8267 US$ per capita, respectively. However, it is worth noting that the estimated peak value of Saboori and Sulaiman (2013b) lies outside the GDP sample values. As well, considering the inverted N-shaped curve, Bekhet and Othman (2018) reveal that the pollution switches its trend for a GDP value of 170.9 RM billion (trough) and 2841.9 RM billion (peak). However, the income peak lies outside the sample range values.

Third, with respect to CO2 EKC for Indonesia, two studies show that the bell-shaped pattern is supported by data (Alam et al. 2016; Sugiawan and Managi 2016), while other three studies reveal mixed results, namely a monotonically increasing relationship (Yao et al. 2019; Chandran and Tang 2013) or a U-shaped pattern (Saboori and Sulaiman 2013a). Concerning the income threshold, Sugiawan and Managi (2016) estimate an out of sample turning point of 7729 US$ per capita. Besides, Chandran and Tang (2013), along with Malaysia and Indonesia, examine the EKC hypothesis for Thailand, Singapore, and the Philippines, for the period 1971–2011. Overall, the empirical findings reject a long-run relationship between variables for the Philippines and Singapore, while for Thailand, the pattern seems to be convex, invalidating the EKC hypothesis. More recently, the empirical analysis of Azam et al. (2018) leads to the same conclusions, namely the presence of the U-shaped pattern for Thailand, and no statistically significant results for Singapore. Opposite, using DOLS estimator, Katircioğlu (2014) shows that the EKC is valid for Singapore, for the period 1971–2010. Also, using the same sample of countries as Chandran and Tang (2013) to test the CO2 EKC hypothesis, Saboori and Sulaiman (2013a) reveal that the inverted U-shaped pattern holds only for Singapore and Thailand. The income peak value is 8.65 in logs (Singapore), and 7.47 in logs (Thailand).

Fourth, the strand of papers that target the CO2 EKC hypothesis for India show that in most cases the bell-shaped pattern holds (Jayanthakumaran et al. 2012; Tiwari et al. 2013; Kanjilal and Ghosh 2013; Boutabba 2014; Shahbaz et al. 2015; Wolde-Rufael and Idowu 2017; Adebola Solarin et al. 2017; Sinha and Shahbaz 2018; Yao et al. 2019), with the notable exception of Alam et al. (2016), who find that CO2 pollution increases along with economic growth. With regard to the turning point, authors such as Tiwari et al. (2013) and Boutabba (2014) show that its estimated value is 28,131 Indian rupees per capita for the period 1996–2011, and 19,380 Indian rupees per capita for the period 1971–2008, respectively. Also, Yao et al. (2019) find that the threshold arises for an income value of 6.61 in logs, while Sinha and Shahbaz (2018) identify an out of sample turning point which corresponds to a value of 2937.77 US$ per capita.

Fifth, the group of scholars that focus on Tunisia, unveil both a nonlinear bell-shaped relationship between CO2 pollution and growth (Shahbaz et al. 2014; Farhani et al. 2014) and a U-shaped pattern (Ben Jebli and Ben Youssef 2015). Also, for the period 1961–2004, the results of Fodha and Zaghdoud (2010) reveal an inverted U-shaped pattern for SO2 (with an associated GDP turning point value of 1200 US$ per capita), and a monotonically increasing one for CO2.

In the case of Pakistan, Nasir and Ur Rehman (2011) and Danish et al. (2017) provide evidence that supports the EKC hypothesis for CO2 emissions, while according to Hussain et al. (2012), the pattern seems to be monotonically increasing. Moreover, according to Nasir and Ur Rehman’s (2011) findings, the GDP threshold of the concave function is equal to 625 US$ per capita. As well, the studies of Charfeddine (2017) and Mrabet and Alsamara (2017) also provide contradictory findings for Qatar. Using a Markov switching equilibrium correction model for the period 1970–2015, Charfeddine (2017) validates the EKC hypothesis for CO2 emissions and carbon ecological footprint but fails to find evidence in favor of ecological footprint EKC (i.e. the results illustrate a U-shaped pattern). Conversely, Mrabet and Alsamara (2017), employing the ARDL bounds test approach, show that the relationship between CO2 and growth is U shaped, whereas, for ecological footprint, the traditional bell-shaped curve is at work.

The studies which examine the pollution-growth pattern for Turkey reveal, depending on pollution indicator, either a bell-shaped pattern (Bölük and Mert 2015; Pata 2018; Zambrano-Monserrate et al. 2018a; Haug and Ucal 2019), an U-shaped pattern (Haug and Ucal 2019) or no statistical link (Haug and Ucal 2019; Yao et al. 2019). Besides, concerning the income turning point, Bölük and Mert (2015) and Pata (2018) reveal that its estimated value lies outside the income range, and equals 9920 US$ and 14,360 US$ per capita, respectively. Conversely, Zambrano-Monserrate et al. (2018a) and Haug and Ucal (2019) find a within-sample turning point value equals to 9031.37 US$ and 7963.31 US$ per capita (6385.59 US$) for CO2 emissions (CO2 intensity), respectively.

Finally, several contributions that investigate the EKC hypothesis for other developing and transition economies unveil mixed results: (i) a monotonically increasing pattern [Al-Mulali et al. (2015) for Vietnam; Alshehry and Belloumi (2017) for Saudi Arabia; Zambrano-Monserrate et al. (2018a, b) for Peru; Yao et al. (2019) for Russia], (ii) a monotonically decreasing pattern [Pao et al. (2011) for Russia], (iii) a U-shaped pattern [Ozturk and Al-Mulali (2015) for Cambodia; Halicioglu and Ketenci (2016) for Azerbaijan, Lithuania, Moldavia, Russia, and Tajikistan], (iv) an inverted U-shaped pattern [Baek and Kim (2013) for Korea; Shahbaz et al. (2013) for Romania; Bouznit and Pablo-Romero (2016) for Algeria; Alam et al. (2016) for Brazil; Halicioglu and Ketenci (2016) for Armenia, Belarus, Estonia, Kyrgyzstan, Turkmenistan, and Uzbekistan; Ahmad et al. (2017) for Croatia; Pata (2018); Yao et al. (2019) for Brazil, South Africa, and South Korea], (v) an N-shaped pattern [Onafowora and Owoye (2014) for Brazil, Egypt, Mexico, Nigeria, and South Africa], (vi) an inverted N-shaped pattern [Onafowora and Owoye (2014) for South Korea], (vii) and also no statistical link [Halicioglu and Ketenci (2016) for Georgia, Kazakhstan, Latvia, and Ukraine]. Likewise, Narayan and Narayan (2010), using the cointegration approach for a sample of 43 developing countries over the period 1980–2004, conclude that only in about 35% of the sample, the downward-bending curve is at work.

Furthermore, the authors who compute the associated income turning point of the specific function reveal the following results. On one hand, Onafowora and Owoye (2014) show that the peak (i.e. 22.083 in logs) of the N-shaped curve for Brazil lies outside the sample range, while Yao et al. (2019) unveil that the peak (i.e. 10.57 in logs) of the bell-shaped curve lies within the income sample values. On the other hand, the researchers that estimate the income peak value for South Africa reveal a similar behavior. As such, according to Onafowora and Owoye (2014), the estimated threshold (i.e. 22.963 in logs) value lies outside the sample range, while Yao et al. (2019) find the opposite (the estimated threshold equals 8.75 in logs). For Korea, Baek and Kim (2013) and Yao et al. (2019) reveal that the turning point of the bell-shaped curve lies well within the income sample values. Also, the studies which estimate the income threshold for other states find values outside the sample range [Onafowora and Owoye (2014) for Egypt, Mexico, and Nigeria; Bouznit and Pablo-Romero (2016) for Algeria].

4.3 New perspectives on modelling environmental degradation and economic growth nexus

A large majority of the empirical studies mentioned above apply classical econometric tools to check the validity of the EKC hypothesis. However, some novel techniques, such as wavelet analysis, have recently emerged in the related literature and have gained the attention of researchers. Compared with the classical econometric techniques that are part of the time domain and the techniques associated with the frequency domain (e.g. the Fourier approach), the wavelet analysis is much more flexible, in the sense that covers both the time and frequency domain (Schleicher 2002). Thus, this type of analysis may provide a broader perspective on data behavior by allowing to investigate different time horizons (e.g. short, medium, and long term), and highlighting the potential nonlinearities, direction of causality, and lead-lag nexus (cyclical and counter-cyclical course) between variables at distinct frequencies and time periods (Mutascu et al. 2016).

The empirical literature regarding wavelet analysis is relatively new and limited, with almost all studies focusing on modeling the environmental degradation–economic growth nexus for developed countries (see e.g. Mutascu et al. 2016; Fosten 2019; Raza et al. 2019; among others). Concerning developing and transition countries, authors such as Jammazi and Aloui (2015) and Kalmaz and Kirikkaleli (2019) employ wavelet techniques to examine the relationship between environmental degradation and economic growth. Nevertheless, the EKC hypothesis is explicitly tested only in the study of Jammazi and Aloui (2015). The authors use a sample of six oil-exporting countries from the Gulf Cooperation Council (Saudi Arabia, Bahrain, Oman, United Arab Emirates, Qatar, and Kuwait), and based on wavelet windowed cross-correlation results, they show that the EKC hypothesis is valid for the period 1980–2012. More recently, Kalmaz and Kirikkaleli (2019) investigate the relationship between CO2 emissions and GDP, among other variables, for Turkey. According to wavelet coherence analysis, overall, the findings suggest a positive correlation between CO2 and GDP over the period 1960–2015.

Although wavelet analysis is recently adopted as a statistical tool in economics, it may represent a promising approach through which one can provide straightforward and valuable insights, and policy recommendations for different economic hypotheses such as EKC. Moreover, taking stock of the complexity of the phenomena and its interconnectedness that govern the field of energy and environmental economics, this type of approach that moves away from time domain may add valuable information when used in empirical analysis, both solely or along with other techniques.

5 Conclusions and policy implications

The quality of the environment plays a vital role in nations’ welfare and remains a very debatable subject both at the international and national levels. Additionally, no single formula has yet been found to fit all economic contexts in terms of mitigating pollution and its adverse effects. Starting for the premise of sustainable development, the goal of this paper was to provide both a theoretical review of the key aspects of EKC and an updated empirical review of the pollution-growth nexus literature that focuses on the EKC hypothesis testing in developing and transition states.

Consequently, our updated survey may provide valuable information and, to some extent, positive prospects on EKC estimation, since the reviewed works angle towards a consensus both in terms of empirical strategy and the EKC validity. On one hand, strengthening the EKC character, most of the studies unveiled a long-term relationship between environmental pollution and economic growth. In this fashion, the findings of numerous works emphasized a cointegration relationship between variables. Thus, concerning the related techniques, the advance in statistics and econometrics has facilitated their development and implementation, all of which have had a beneficial impact on EKC estimation. On the other hand, several studies have found evidence in favor of EKC, suggesting that some developing and transition economies have succeeded in attaining the income threshold, and have improved their environmental conditions. However, according to some works, the estimated value of the income turning point lies outside the sample range. In these specific cases, the findings should be treated with care, as this may imply that the future growth may increase pollution levels, and/or highlight possible issues regarding the EKC and the associated threshold identification. Taken collectively, both the theoretical foundations and empirical evidence, could contribute to a better understanding of the pollution-growth nexus in the EKC context, and suggest some meaningful insights into the future works on the subject, as well as the crucial policy implication in developing and transition economies.

In light of the overall results, some policy implications could be drawn. First, some developing and transition states have managed to keep low levels of pollution along with economic growth, and even reached the EKC threshold for a lower level of income compared to developed nations (see e.g. the recent work of Yao et al. 2019; among others). Hence, these states could be treated as a positive example and examined more in detail to get insights into the factors that contribute to inducing a bending downward curve in pollution. In this regard, over the years, the environmental and energy economics literature has unveiled some of the key elements that may promote a reduction in pollution levels (increase environmental quality). Focusing our attention primarily on developing and transition economies, we mention the factors related to energy structure, such as lower energy consumption, higher renewable and nuclear energy share in total energy consumption, higher energy efficiency (see e.g. Baek and Kim 2013; Azlina et al. 2014; Sugiawan and Managi 2016; Danish et al. 2017; Dong et al. 2018; Sinha and Shahbaz 2018; Chen et al. 2019b), the factors associated to overall political system, such as good governance, corruption control, higher institutional quality, and political stability, and democracy (see e.g. Shahbaz et al. 2013; Osabuohien et al. 2014; Ozturk and Al-Mulali 2015; Chen et al. 2018; Purcel 2019; Ronaghi et al. 2019), the coexistence of an eco-friendly and relatively large industry sector and a high labor productivity which uphold complex techniques (see e.g. Lazăr et al. 2019), the environmental awareness (Chen et al. 2019a), among others. Besides, Halkos and Bampatsou (2018) revealed the importance that international agreements have on climate change mitigation. Their recent findings showed that the states which signed an international agreement, such as the Kyoto Protocol, exhibit higher environmental efficiency compared to their counterparts. These results are quite significant (all the more that their sample of 73 countries covered 55 developing ones) and may suggest that the developing world should be engaged more actively at international and also national level in green activities to ensure high environmental efficiency. Likewise, for transition economies, the findings of Zugravu-Soilita (2018) suggested that trade intensity in environmental goods reduced CO2 emissions, primarily through the income effect. However, the opposite is found for water pollution, while for SO2 emissions, the effect lacks significance. Overall, the author argued that in the context of sustainable development, freer trade in environmental goods might be attained through the regional or bilateral agreements that reflect the countries’ peculiar context.

Second, after a certain threshold is reached, environmental degradation may be irreversible and costly, both economically and socially (Munasinghe 1999). Bearing in mind that the effects of policies and regulations are often visible in the long term, to fight against environmental degradation, it is primordial to consider all the potential detrimental factors and take preventive measures. As such, good knowledge of the domestic economic, social, and political environment, along with a constant adaptation of environmental regulations and policies, may bring added value and improve the environmental quality. Furthermore, prolific international cooperation could foster the assimilation of know-how and new green technologies. Nowadays, as also stipulated by the Paris agreement, among other instruments, there is a need for developing and transition economies to become more involved in climate change activism and fight together with developed nations against the threats of global warming. Building on the present literature review, future work could be drawn upon a meta-analysis to better understand the pollution-growth nexus through the EKC incidence.