2.2. Theoretical Framework
Achieving resource efficiency (RCE) in G20 economies requires a multidimensional analytical framework that incorporates educational quality (EDQ), natural resources (NRS), financial inclusion (FIN), green innovation (GRI), and economic complexity (ECC). This framework is grounded in well-established economic and sustainability theories that explain how these variables influence RCE. Human Capital Theory posits that education enhances the productivity and efficiency of individuals by equipping them with knowledge and skills [
39]. Within the context of RCE, education plays a dual role: it fosters innovation and sustainable practices but may also lead to increased consumption and demand [
40]. This aligns with insights from Endogenous Growth Theory, which emphasizes that long-term economic growth depends on internal factors like human capital and technological progress [
41]. Therefore, the effect of EDQ on RCE depends on how well sustainability is embedded into educational curricula and institutional frameworks.
Natural resource management is understood from two opposing perspectives. The Resource Curse Theory argues that an over-reliance on resource extraction may lead to institutional weakness, poor governance, and slower long-term growth [
42]. This theory highlights the risk of inefficient and unsustainable resource use, undermining RCE. In contrast, the Resource-Based View (RBV) emphasizes that natural resources, if managed sustainably, can be a source of long-term competitive advantage. Effective governance structures and environmental management systems are essential to convert resource wealth into sustainable development and improve RCE [
43,
44]. Financial inclusion (FIN) is often linked to economic growth and poverty alleviation [
45]. According to the theory of financial intermediation, financial systems allocate capital to productive uses, including green investments [
46,
47]. However, if misaligned with environmental goals, increased financial access can stimulate excessive consumption, reducing resource efficiency. Therefore, the impact of FIN on RCE is contingent on regulatory frameworks that direct finance toward sustainability-aligned activities. Together, these theories underscore the central premise of this study: improving RCE in G20 countries requires not only investments in education, innovation, and finance but also the strategic governance of natural resources and economic complexity. The integration of these variables into policy and institutional systems determines their collective contribution to sustainable development.
With their advanced technological capabilities, G20 economies are well-positioned to lead in the development and adoption of GRI, thereby increasing their RCE [
48,
49]. Moreover, ECC, which reflects the diversity and sophistication of a country’s economic activities, is closely linked to RCE. The Economic Complexity Theory clarifies that more complex economies are better able to innovate and optimize resource use, leading to higher levels of efficiency [
50,
51]. In G20 economies, increased ECC can drive RCE by promoting the development of advanced technologies and industries that are less resource-intensive. This, in turn, contributes to sustainable economic growth and environmental sustainability. The integration of EDQ, NRS, FIN, GRI, and ECC provides a comprehensive framework for understanding and enhancing RCE in G20 economies. These factors are interconnected, and their combined effects can either enhance or hinder RCE depending on how they are managed.
2.3. Methodology
This paper explains the methods that have been chosen to assess the links between NRS, EDQ, FIN, GRI, and ECC with RCE in the eighteen economies of G20 from 2000 to 2022. This study adopts an advanced framework of techniques. However, the lack of data on GRI led to the exclusion of Turkey and the European Union. To guarantee the validity and correctness of the results, this section makes connections between various statistical and econometric techniques. To provide an overview of the dataset, descriptive statistics are presented at the beginning, highlighting the key characteristics of each element. It consists of measures of central tendency (mean, median) and dispersion (standard deviation, range, skewness, kurtosis, Jarque–Bera, probability, and observations), which help in identifying the basic patterns and distribution of the dataset [
52]. All statistical analyses were performed using Stata 17 and EViews 12, which facilitated panel data modeling, robustness checks, and diagnostic testing. Mendeley reference management software (desktop version 1.19.1) was used to organize and format citations throughout the manuscript. Equation (1) can then be used for various statistical analyses, including descriptive statistics, to explore the relationships between RCE, NRS, EDQ, FIN, GRI, and ECC.
is the intercept of the equation, and
are the coefficients that measure the impact of each independent variable on the dependent variable. Similarly,
represents the error term, capturing the effects of all other variables not included in the model.
Subsequently, matrix correlation analysis was conducted to assess the strength and direction of the linear relationships between the independent and dependent components. For a correlation matrix where
is the dependent variable, the equation used to calculate the correlation between
and any independent variable
(where
could be NRS, EDQ, FIN, GRI, and ECC) is as follows:
where
denotes the covariance between
and
in Equation (2),
represents the standard deviation of
, and
represents the standard deviation of
. The associations and potential multicollinearity among factors can be understood by matrix correlation [
53]. In this matrix, each entry was calculated using the correlation formula expressed in Equation (3), where
and
are any pairs of variables from the set
. In addition, CSD tests, like the Pesaran CD test, were run on the panel data to find interdependence between the G20 member states. Furthermore, it could guarantee that these interdependencies are considered in subsequent economic simulations, improving the predictability of the outcomes [
54]. Likewise, to understand country-specific dynamics and ascertain whether the impacts of the independent factors on RSM differ among G20 economies, slope heterogeneity tests are crucial [
55]. The Delta test statistic can be computed as shown in Equation (4), where
is the estimated coefficient for unit
and where
represents the average coefficient across all units.
highlights the variance of the coefficient estimates. This statistic follows a chi-square distribution with
degrees of freedom, where
is the number of cross-sectional units. In contrast, Equation (5) demonstrates the model of Adjusted Delta test in slope heterogeneity test.
is the adjusted variance of the coefficient estimates in Equation (4). Similarly, the Adjusted Delta statistic follows a chi-square distribution with
degrees of freedom. Meanwhile, the panel data’s stationarity was measured via the CIPS unit root test. The CIPS test is relevant for confirming that all the factors are integrated in the same order. Stationarity is a prerequisite for reliable econometric analysis [
56]. The model for the CIPS unit root can be written as demonstrated in Equation (6), where
is the variable of interest,
and
are parameters,
is the coefficient of the lagged variable,
and
represent the coefficients of differenced terms,
denotes the coefficient of the cross-sectional average, and
is the error term. Furthermore, the CADF test accounts for cross-sectional dependence when unit roots are examined, providing a more robust check for stationarity [
57]. CADF can be utilized with Equation (7), where
is the lagged first difference of
and where
represents any additional covariates or regressors.
signifies the autoregressive coefficient, and
represents the coefficient for the lagged difference term.
shows the coefficient for
, and
represents the residual term. The flow chart of the approaches applied in the current study is portrayed in
Figure 1.
Additionally, Westerlund cointegration tests were utilized to characterize long-term equilibrium relationships between the parameters. Knowing whether the independent and dependent variables exhibit a steady long-term trend is essential for comprehending relationships that are durable [
58]. It is based on the error correction model expressed in Equation (8), where
denotes the first difference operator and where
is the dependent variable for panel unit
at time
. Additionally,
depicts the independent variable for panel unit
at time
, and
and
are the parameters to be estimated.
is the error correction term coefficient (which indicates how quickly the variable
returns to equilibrium after a deviation), and
represents the short-term effect of
on
. Residual terms are shown by
. Likewise, the CS-ARDL approach has been employed to investigate the immediate and long-term effects on RCE of NRS, EDQ, FIN, GRI, and ECC. CS-ARDL is an excellent option for analyzing panel data with a variety of effects since it can manage different lag structures and dynamics that are unique to a certain nation [
59]. Traditional panel data estimators such as fixed effects, random effects, or first-difference GMM models often assume slope homogeneity and cross-sectional independence, which are unrealistic in macro-panel settings like the G20, where economies are interconnected and subject to shared global shocks [
60].
Furthermore, the CS-ARDL model is particularly suitable for handling mixed order of integration (I(0)/I(1)) variables and cross-sectional dependence through the inclusion of cross-sectional averages [
61]. It allows for long-run cointegration relationships while accounting for country-specific dynamics, making it ideal for analyzing sustainability transitions across structurally diverse economies [
62]. The Augmented Mean Group (AMG) estimator is employed for robustness as it accounts for unobserved common factors and parameter heterogeneity by augmenting the regression with a common dynamic process. This approach is particularly effective when slope heterogeneity exists across panel units [
63]. The Common Correlated Effects Mean Group (CCEMG) estimator further reinforces robustness by explicitly controlling for cross-sectional dependence via cross-sectional averages of the regressors and the dependent variable, making it reliable even when unobserved common shocks affect all units simultaneously [
64]. These models complement each other and together offer a robust and nuanced estimation strategy that aligns with the structural and statistical complexities of the dataset, ensuring more reliable and generalizable results.
Equation (9) is suitable for applying CS-ARDL analysis for this investigation, where
is the dependent variable for country
at time
. Likewise,
and
are the independent variables, and
is the country-specific effect. In a similar vein,
are the short-term coefficients.
captures the long-term equilibrium adjustment.
are the long-term coefficients, and
is the error term. Moreover, sophisticated approaches of AMG and CCEMG have been leveraged to validate the dependability and correctness of the empirical results derived from CS-ARDL. Additionally, AMG assists in addressing cross-sectional dependence and heterogeneity, offering reliable estimations of the relationships between variables [
65]. Nonetheless, the CCEMG estimator accounts for common causes affecting countries in the panel and improves the robustness of the results by considering the effects of unobserved common shocks [
66].
Meanwhile, both AMG and CCEMG procedures consider CSD. Equation (10) is the computation of AMG method, where represents resource management for country at time . Similarly, denotes the country-specific intercept. represent the coefficients for the independent components. Additionally, unobserved common factors with heterogeneous factor loadings are expressed by , while represents the error term. In addition, Equation (11) can be used to summarize the CCEMG analysis for current study, where is the common factor for time and where denotes the dependent variable for cross-sectional unit and time . Similarly, represents the independent variables (e.g., , and ), while represents the mean of the independent variables across cross-sectional units for time period . However, combining the AMG and CCEMG estimation methods can offer multiple options for managing parameter variability within units and taking into consideration the time-varying characteristics of regressors. CCEMG can increase panel consistency by using frequent variables that represent cross-sectional dependence, where units, precision, and credibility of projected bonds have a substantial link. These sophisticated methods create insightful policy recommendations and increase the accuracy and efficacy of outcomes by considering both common and distinctive traits.