This study employs a comprehensive empirical strategy to investigate the interdependent dynamics of technological innovation, public health equity, governance, and sustainable development within G7 nations from 1990 to 2022. The analysis utilizes advanced panel data techniques, including Cross-Sectional Autoregressive Distributed Lag (CS-ARDL) and Common Correlated Effects Mean Group (CCEMG) models, which are selected to robustly account for cross-sectional dependence and slope heterogeneity across economies. Preliminary testing confirms data stationarity and establishes long-run cointegration among the core variables. The methodology thereby provides a rigorous framework for disentangling short- and long-term relationships and testing the proposed synergistic triad.
Theoretical background and empirical strategy
The transition towards sustainable development necessitates profound structural changes within advanced economies, particularly given the escalating pressures of climate change and environmental degradation. The historical trajectory of G7 nations has been characterized by economic models that heavily rely on the intensive extraction and consumption of natural resources, a pathway that is fundamentally unsustainable. In response, government intervention has become critical, primarily manifesting in industrial policies aimed at decoupling economic growth from ecological harm. These interventions include mandates for resource conservation, the promotion of innovative production techniques to reduce emissions and ensure regulatory compliance, and strategic shifts in energy systems towards renewable sources like geothermal energy to displace fossil fuels. The central challenge, therefore, lies in orchestrating a structural transformation that reconciles economic objectives with planetary boundaries.
To conceptualize this transformation, the lens of economic complexity is instructive. It posits that a nation's economic prowess is derived from its capacity to harness advanced knowledge and specialized capabilities to produce sophisticated goods and services. However, the relationship between this complexity and environmental sustainability is not deterministic. As articulated by a nation's Sustainable Development Index (SDI) can be modeled as a function of its multifaceted productivity (β = MFP/SDI), revealing a critical tension. On one hand, sophisticated industrial development (SDI) can intensify environmental degradation through resource depletion and waste generation, a risk for economies locked into traditional, resource-intensive manufacturing. On the other hand, this same complexity can be channeled towards green industrial strategies, fostering technological innovation that addresses environmental challenges and meets the growing demand for renewable energy. The conceptual research model depicts the interrelations between core constructs that drive sustainable development. The model positions Technological Innovation, Public Health, and Governance Quality as direct sub-elements influencing the broader system. These factors are shown to interrelate with central concepts like Environmental Sustainability and Economic Complexity, which themselves are linked to Natural Resources and Environmental Deterioration. The framework culminates in an Empirical Model Equation, synthesizing these relationships into a testable analytical structure (Figure 3).
Empirical model
This study aims to examine the relationship between natural resources, environmental deterioration, Governance Quality (GQ), and the complexity of the economies of the G7 nations. We suggest the following empirical model in this regard.
(1)
Let PH represent the level of natural resource abundance, GQ represent the quality of governance, LME represent the level of economic development, DI represent the state of digital infrastructure, SDI represent economic complexity, and TI represent the degree of technological innovation. We employed logarithmic notation for statistical information to ensure precise and statistically robust results.
Development of variables
We aim to collect experimental data on the correlation between environmental degradation in the G7 nations from 1990 to 2022 and factors such as Digital Infrastructure, Governance Quality, Natural Resource Development, economic complexity, and economic development. The information is presented in Table 1. The Atlas Media database offers information on LME per capita (regular 2017 USD), Governance Quality (secondary school enrollment count), economic complexity, and natural resources. The depth, accessibility, and efficiency of financial institutions determine the composite indicator of Digital Infrastructure. The new TI composite index comprises CH4, PM2.5, N2O, CO2, and GHG1 emissions. As a result, DI and TI can be shown as:
(2)
(3)
Moreover, the variables of this study and their description are given in Table 1. The incorporation of the Environmental Kuznets Curve (EKC) theory into equation 4 can be briefly described as:
(4)
Preliminary tests
Initiating this pragmatic approach involves examining empirical datasets that exhibit cross-sectional dependence. Unknown shared shocks, globalization, and undefinable residual dependency can all contribute to the presence of CSD. In addition, the CSD estimation facilitates the articulation of social network interactions and unknown mutual shocks. Precise CSD estimate removes erroneous and biased parameters, enabling efficient and consistent empirical results. Pesaran-scaled LM, Breusch-Pagan LM, Bias-corrected scaled LM, and Pesaran CSD tests are used in current research. Breusch-Pagan's first one of the trustworthy assays is the LM test, which Breusch and Pagan46introduced. Equation (5) calculates the LM statistics as follows:
(5)
(6)
In the given equations, ̂ρ2ij, T, and N denote the cross-sectional correlation of the residuals, the time variable, and the total number of cross-sections in the panel, respectively. However, collecting empirical data with vast cross-sections is not practical. To address this limitation, Pesaran47, introduced the concept of a scaled LM test.
(7)
The LM test introduced by Pesaran exhibits distortions when the sample size (T) is smaller than the number of variables (N). Therefore, an alternative CSD test that may be assessed using equation (8):
(8)
Once the CSD has been determined, we employ the SH test to investigate the slope variability. This test is particularly suitable for panel datasets because it considers cross-sectional dependence (CSD) and may be represented mathematically as:
(9)
(10)
Unit root and cointegration tests
Using second-generation unit root tests, this study assesses stationary qualities. When assessing the data, the CADF unit root test takes structural breaks into account and performs a primary test under the underlying assumption that the time effect affects each cross-section and may be implemented in both T > N and N > T. Apart from CADF, we also employ the CIPS unit root test, which primarily uses the CADF to increase the lag number and estimate initial variations in the dataset in order to analyze unit roots. Once stationary properties have been established, the long-run connection between the data variables is examined using the Westerlund cointegration test. The fundamental ideas of the Westerlund method investigate cointegration by determining whether error correction is present for each indicator separately or for the entire set of indicators. Significant variation cointegration occurs in both the long-term and short-term. Connection is incorporated into the method.
Calculation for extended determinants
CS-ARDL, CCEMG, and AMG are used in current research as the primary elements of analytical strategies. First, it is used in this work because CS-ARDL is an effective econometric method that addresses both short- and long-run CSD and slope heterogeneity. Since CS-ARDL is trustworthy when variables are combined in a hybrid sequence, it is also essential for the best results. Finally, it overcomes endogeneity in the empirical model by using CS averages. The methodology is structured to include preliminary tests for Cross-Sectional Dependence (CSD) and Lagrange Multiplier (LM) diagnostics. The core analytical strategy involves the Autoregressive Distributed Lag (ARDL) model to capture short- and long-run dynamics. This is supplemented by two robust estimators, the Common Correlated Effects Mean Group (CCEMG) and the Augmented Mean Group (AMG), to account for heterogeneity and common factors in the panel data (Figure 4).
Eberhardt and Bond48 proposed AMG, which employed typical dynamic effects to circumvent cross-sectional dependency. This strategy is like CCEMG to tackle issues related to panel data statistics. Statisticians argue that AMG is a prevalent dynamic mechanism, while CCEMG is considered a nuisance. Furthermore, CCEMG calculates the linear relationships between variables that depend on each other and the average values across different sections. Regression analysis is then used to estimate each parameter. On the other hand, AMG has two stages to assess the shared dynamic effects of unobserved variables. This entails estimating the slope parameters for each regression group and adding dummy effects to the pool OLS. Lastly, to determine the long-term causal relationship between the variables, we also selected the Dumitrescu and Hurlin causality test. We favor this method since it can be used for unbalanced panels, N > T, and N \ T, and it can forecast CSD and heterogeneity.