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Research Article

Digitalisation, Green Finance, and Innovation for Environmental Sustainability: Evidence from BRICS+T Economies

[version 1; peer review: 1 approved with reservations]
PUBLISHED 17 Apr 2026
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This article is included in the Ecology and Global Change gateway.

Abstract

Background

The climate change, severe level of resource depletion, and widespread ecological pressures highlight the need to identify the factors that predetermine environmental sustainability in the developing economies. Recent studies in the BRICS+T framework have focused largely on digitalisation, green finance, and innovation in Laissez-Faire, one-dimensional analytic models and thereby not considering the multi, asymmetric, and dynamic relations, which are the foundations of sustainable development.

Method

This study is based on formulating a question concerning the effect of digitalisation, green finance, green innovation, human capital, and institutional quality on environmental sustainability based on annual time-series data of BRICS + T economies. Using highly developed econometric techniques such as Fourier ARDL, NARDL, QARDL, and Bootstrap ARDL.

Findings

Empirical results show that the two, digitalisation and green finance, have a positive impact as they lead to improved low-carbon performance in addition to limiting the emission of CO2 and ecological pressure in the long run. Strong adoption of green technology and high-quality institutional increases the effects of the environment, and human capital advances sustainability by enabling the uptake of technology and facilitating human behaviour transition. It is also revealed that the outcomes reveal strong non-linear country irregularities whereby desirable perturbations in digitalisation, green finance and innovation generate stronger and more sustainable environmental returns compared to those brought about by negative shocks. These results support the presence of an Environmental Kuznets Curve among the discussed economies.

Contribution

By providing a comprehensive analytical model that complements digital, financial, technological, and institutionally mediated forces of environmental sustainability in BRICS+T economies, the study develops the analytical literature outside of the linear paradigm. Further, it provides practical policy guidance that is based on digital investment, green financing, skills enhancement, and policy reform, and thus provides a robust low-carbon transition and supports sustainable development paths.

Keywords

Digitalization; Green finance; Green innovation; Human capital; Institutional quality; Environmental sustainability; BRICS+T economies

1. Background of the study

Climate change, resource depletion, and biodiversity loss are global environmental issues that require immediate action from policymakers and practitioners across all sectors. According to Wang (2025), the dynamics of the global economy are influenced by the growth of developing economies, which also highlights the shortcomings of the current coexistence of governance and market arrangements. There is a causal relationship between rapid economic expansion and ecological stress, but there is also the potential for efficiency improvements and green discourse along this road, provided that markets, finances, and institutions are in sync with ecological objectives (Stori et al., 2019; Wen et al., 2022; Zheng et al., 2023). However, analysing the degree to which digitalisation is considered a leading source of green innovation and human capital in BRICS+T is not an easy task. This interaction can be studied within a single framework (Shang et al., 2024), which complicates the creation of policies in these heterogeneous economies, as they possess different energy mixes, institutional capabilities, and creative ecosystems, leading to varied results (Konuk et al., 2025; Naz and Aslam, 2023). In the case of BRICS+T countries, this paper aims at quantifying digitalisation impact of environmental sustainability at the level of determining following: whether or not the country needs digitalisation to achieve carbon emission and resource use reduction or increase; whether or not green innovation influences digital sustainability; whether or not digital sustainability, human capital, and institutional or financial resources in green innovation build on one another. It examines how human capital influences the adoption and diffusion of eco-innovation, encompassing aspects such as skill development, educational quality, and health outcomes, which are essential for informed decision-making. As stated by Khursheed and Hashim (2025), nonlinear panel methods can potentially detect possible regime shifts and timing impacts, making the results indicative of the real structure of the BRICS+T economy. Policy solutions to infrastructure developments on a planetary level must include digital infrastructure, funding innovation, changes in education, and governance upgrades. The objective will be to provide practical policy, investment, and firm-level advice to organisations that wish to consider sustainability within growth-related contexts, taking into account diverse institutional settings.

This study makes a significant contribution to the BRICS+T literature by providing an empirical framework for integrating the three aspects of digitalisation, green innovation, and human capital. Besides the necessity of dynamic cross-sectional investigation of nonlinearities in emerging economies, it sheds light on the connections between these drivers and whether their interacting effects have varied over time (Chen et al., 2025; Sun et al., 2025). The findings of the policy indicate that there are positive environmental effects of digital policy, green financing, and education policies on energy reform, industrial reform, and urban planning. Managerial implications can help managers adopt eco-innovation and utilise digital technologies by considering the barriers to adoption, the need for human resources, and the governance climate that fosters sustainability in the long run.

The growing threat of the climate crisis and the exhaustion of resources in general have underscored the urgent necessity to develop economies that are models of environmentally sustainable economies. Developing countries, especially the BRICS+T, which includes Brazil, Russia, India, China, South Africa, and Turkey, need to continue growing; however, this growth is also straining the environment. New forms of decoupling growth and emissions are enabled by digital transformation, with a higher pace facilitated through large-scale green finance and innovative green technologies. However, the existing literature is not comprehensive, as the vast majority of studies address these aspects independently and apply linear models, which cannot adequately capture responses such as the asymmetric and nonlinear reactions to environmental outcomes. This paper fills that gap by elucidating the relationships between digitalisation, green finance, innovation, institutional quality, and human capital to determine environmental sustainability. It addresses a knowledge gap of critical importance, examining the effects of digital transitions on ecological outcomes in economies with varying institutional capacities and development trajectories. The analysis is conducted using the latest econometric methods, including Fourier ARDL, NARDL, QARDL, and frequency-domain causality, which help measure the strength and direction of dynamic adjustments. The anticipated outcome is that the authorities will acquire knowledge of ways to incorporate digital, financial, and innovation policies in accordance with the United Nations Sustainable Development Goals. Its larger aim is to explore the importance of digitalisation, green finance, green innovation, and human capital in promoting environmental sustainability in BRICS+T countries, both in the short-term and long-term dynamics. Lastly, the research questions whether these variables have a symmetric or asymmetric impact on environmental outcomes, and the interaction of the variables in question on sustainable transitions. Based on this, the research questions that the study attempted to answer included RQ1. What are the relationships between digitalisation, green finance, and innovation, and how do they affect environmental sustainability in emerging economies? RQ2. Are these relationships asymmetrical or non-linear in the course of environmental proxies? RQ3. What is the modifying role of human capital and institutional quality on these effects? RQ4. What are the differences in findings between the BRICS+T + T economies that are digitally ready and governed differently? Responding to these questions, this study contributes to the knowledge base regarding the digital-green nexus and its potential to promote the development of low-carbon pathways in emerging areas.

Although the investigation of these elements has been conducted previously on a case-by-case basis, the current analysis promotes discussion in three major directions: conceptual integration, methodological innovation, and policy relevance. First, environmental sustainability is understood as a multidimensional framework that has economic, technological, and institutional dimensions. There is no need to oppose past studies that consider economic growth or emissions as the only important measures when analysing sustainability performance, because the current study uses low-carbon productivity, CO2 intensity, and ecological footprint as supplementary measures, which creates a comprehensive portrait of sustainability performance. The conditioning variables of human capital and institutional quality take into account the fact that digital and financial treatment can only be effective in cases of efficient governance and skilled labour. Second, to imitate the heterogeneous responses to policy shocks, asymmetric and nonlinear modelling frameworks, namely Fourier-ARDL, NARDL, QARDL, and Bootstrap-ARDL, are proposed. The unequal nature of digital and financial impacts on environmental outcomes is often overlooked due to the assumption of symmetric adjustments made in many previous studies. Through the unanimity test, the current study establishes that positive shocks in digitalisation, innovation, and green finance yield greater and longer-lasting environmental returns than negative shocks, which is critical for formulating resilient sustainability policies. Third, the model has been applied to six major emerging economies (BRICS+T) and provides evidence of the comparative heterogeneity in environmental responses. These findings suggest that digital and financial transitions are not uniformly beneficial; their effects are contingent upon institutional enforcement, human capital intensity, and the channels of technological diffusion. This cross-country study enhances knowledge of the role of structural and policy diversity in determining the success of green transitions in emerging markets. Moreover, frequency-domain causality tests reveal directionality in digitalisation and environmental performance, indicating bidirectional feedback in the medium- to long-term. This connection between time-frequency analysis and sustainability transitions contributes to a relatively understudied field of environmental econometrics.

2. Literature review

2.1 Digitalisation and environmental quality

Digitalisation encompasses e-government services, internet services, and information and communication technology (ICT) infrastructure. E-government is linked to digital platforms and information networks to ensure that the flow of information, services and choices increases. The features of digitalisation that enable spatialization with real-time attention and control of resource use include ubiquitous devices, high-speed connections, and online governance at local, national, and metropolitan levels. These traits impact material flows, energy usage, and emissions by promoting new business, increasing transparency, and enhancing efficiency. There are policy, infrastructure, and market incentives synergising to enhance the effect of digitalisation, which is recognised as a structural driver of sustainability. (Wang, 2024; Creutzig et al., 2017; Qamruzzaman, 2025a). Refers to rebound effects and dematerialisation are the main theoretical points of contention. “Rebound effects” occur when efficiency improvements lead to a decrease in the price per unit of output, which in turn results in increased production and consumption of the item, thereby nullifying any positive environmental impact. When digital services replace physical commodities, it results in a decrease in material throughput, as well as energy and material footprints, commonly known as dematerialisation. Evidence on both sides can be found in the literature. On the one hand, efficiency- and service-oriented alternatives have been shown to reduce net energy and emissions Santarius et al. (2020) Sorrell (2010), while on the other hand, rebound effects have led to growing consumption. The regulatory environment, energy mix, sectoral structure, and rate of green technology adoption all influence the overall impact. To account for differences in digital adoption and energy governance among countries, a differentiated approach should separate short-term dynamics from long-term dynamics (Gupta and Vegelin, 2016) (Segovia-Martín et al., 2023).

It is widely acknowledged in global comparisons that digitisation interacts with other factors to impact sustainability. For instance, when coupled with renewable energy and green financing, the digital infrastructure of cities and smart city plans is linked to energy savings and reduced greenhouse gas emissions (Ahmed and Le, 2021). However, the extent and direction of these beneficial effects may differ depending on factors such as geography, income level, and policy environment. In areas where rebound effects are strong or energy is mostly derived from fossil fuels, some studies have shown minimal or negative effects, while others have found the opposite. Volatility is more noticeable in emerging markets (Gradillas and Thomas, 2025; Xu et al., 2025). Energy efficiency is enhanced by digitisation. Despite progress in areas such as demand-side management and improved production planning, regions with high ICT expansion may experience an increase in power consumption and related emissions if their decoupling from fossil fuel dependency is insufficient (Tleppayev and Zeinolla, 2020). Investment in green technology, effective data governance, and incentives for low-carbon services, rather than just increased digital activity, appear to be the three additional steps necessary for dematerialisation. While digitalization may lower energy intensity in developing nations with the help of supporting policies, the negative consequences of rebound and leakage effects might cancel out these advantages in the absence of such policies (Yang et al., 2025). Reduced transaction costs, more efficient government procurement, and traceability across value chains are all possible outcomes of digital finance, digital infrastructure, and e-government solutions, which in turn contribute to power efficiency and resource savings. Renewable energy deployment, efficiency regulations, and the diffusion of eco-innovations are essential steps toward a more sustainable future that must accompany digitisation if it is to have any positive impact at all. Whether digitalisation leads to dematerialisation or rebounds depends on factors such as place-based policy design and data interoperability, which have been shown to moderate the relationship between digitalisation and environmental performance. This is particularly true in BRICS+T states, where research has focused on the role of green innovations in influencing this relationship. Xu et al. (2023) disclosed that the combined impact of Internet penetration, ICT adoption, and e-government implementation on environmental performance in BRICS+T has not been adequately addressed, and there is also an unfulfilled opportunity to estimate nonlinear effects by comparing countries to identify regime shifts and diffuse patterns, even though many studies have focused on specific economies or isolated foci. To further investigate how Indigenous stewardship perspectives may impact governance and diffusion practices during digital transitions, we need to establish common indicators for the relationship between digitalisation, energy efficiency, material throughput, and lifecycle emissions.

2.2. Green innovation and environmental quality

Green innovation encompasses environmental patents, green research and development and eco-innovation. Eco-innovation refers to the design and implementation of new products, production processes, and service models that enhance environmental value. Environmental patents are codified knowledge that aims to reduce emissions, conserve resources, and clean up industry. Green R&D is research and development which is directly aimed at decreasing environmental impact. Empirical studies demonstrate that when three areas and companies combine incentives, funding, and control to expand on these activities and distribute the endeavours, these activities enhance environmental performance. Carfora et al. (2022) pose the question of what motivates environmental innovations in small and medium enterprises (SMEs), and the authors explore how the company capacity and market relations influence eco-innovation. According to Li and Dong (2025), green digitalisation can lead to environmental innovation under institutional support, which means that policy and governance are tied to the direct promotion of innovation. The authors of the study by Anas et al. (2023) examined the interaction between green finance and technology, finding that green finance is a process that triggers sustainable innovation in developing nations. Taken together, these works contribute to the creation of green innovation that reduces environmental impact by participating in specific research and development, patenting, and proper distribution. The theory states that regulation can be positive and encourage innovation, but not a burden to innovation, as it follows common sense. According to the post-hoc theory of dynamics, developing countries can enhance their environmental performance with the aid of green technologies, stringent policies, and effective regulation (Ge and Chen, 2025). The NRBV model emphasises the philosophy of treating eco-innovation as a success when internal capabilities are matched to external incentives, placing a powerful focus on firm-specific resources and capabilities that can generate value in the form of environmental benefits (Andrea et al., 2022). Green innovation has the potential to provide firms with benefits in terms of efficiency and market expansion, without necessarily overburdening natural resources, especially when policy, financial, and knowledge networks are aligned with firm capabilities. According to the international literature, green innovation and emission reduction were related differently depending on regulations, funding applications, and diffusion channels. Indicatively, Uzar (2023) also concluded that green innovation mediates between policy and funding interventions, digitalisation and environmental behaviour.

Institutional conditions need to be favourable to promote green digitalisation, as advised by Sahu et al. (2025), to achieve environmental benefits. This highlights the significance of good governance as a means of enhancing innovation. Effective leadership, green financing, and the adoption of technology can improve the environmental situation in developing countries, as demonstrated by Anas and his colleagues. According to Hasan et al. (2026), environmental factors affecting environmental innovations can impact the prediction of sustainability outcomes by correlating emerging capabilities with their level of environmental impact at the corporate or regional level. There is one thing that scholars concur on: green innovation is directly interconnected with environmental sustainability, as long as rules, regulations, and market mechanisms enable it.

3. Data and methodology of the study

3.1 Model specifications

This study employs a time-series estimation framework to examine the determinants of the Load Capacity Factor LCF in India. The dependent variable, LCF, reflects the balance between the country’s ecological footprint and its biocapacity. The model investigates how digitisation DIGI, green energy GE, green technology GT, human capital development HCD, institutional quality IQ, and economic growth GDP per capita, Y, and its square, Y2 influence LCF over time (Qamruzzaman, 2026).

The proposed empirical specification is as follows:

(1)
LCFt=α+β1DIGIt+β2GEt+β3GTt+β4HCDt+β5IQt+β6Yt+β7Yt2+λt+ϵt

Where LCFt Is the load capacity factor at time t, DIGIt,GEt,GTt,HCDt,IQt,Yt,andYt2 represent the independent variables, λt Captures deterministic time-specific effects, such as policy shifts and global financial crises; ϵt is the error term.

The empirical evidence derived from the three environmental models (Low Carbon Footprint (LCF), CO2 Emissions (CO2), and Ecological Footprint (EF)) is in line with the hypothesised linkages between digitalisation, green innovation, institutional and financial determinants, and environmental outcomes. The results of the sign matrix display concordant long-run causality patterns, thus corroborating both theoretical postulations and antecedent empirical work. The estimated coefficients show that the impact of digitalisation is positive on low-carbon performance (b1 [?] 0) while at the same time reducing emissions of CO2 (b1 [?] 0) as well as the ecological footprint (b1 [?] 0). These findings are indicative of the efficiency gains achieved through the use of smart technologies, automation, and energy optimisation. Comparable evidence presented by Salahuddin et al. (2020) and Usman et al. (2024) supports the premise that digital transformation enhances environmental performance through the dematerialisation of production processes and the promotion of intelligent resource utilisation. Green finance plays a positive role in LCF (b2 > 0) and a negative role in CO2 and EF (b2 < 0), a pattern consistent with the reallocation of capital towards renewable energy and green infrastructure. These results are consistent with the observations of Banga et al. (2022a), who emphasise that the ease of accessing sustainable credit facilitates enduring decarbonization and greater resource efficiency. Institutional quality enhances environmental quality through policy credibility and effective regulatory enforcement (b3 > 0 for LCF, b3 < 0 for CO2, EF). This highlights the tendency of strong governance systems to support compliance and investment in environmental efforts, as supported by Apergis et al. (2023a). Green innovation strengthens LCF (b4 > 0) and curtails CO2 and EF (b4 < 0). This pattern suggests that cleaner production technologies and the diffusion of innovation lead to a reduction in pollution intensity, which supports the arguments of Khan et al. (2020). Human capital plays a catalytic role in sustainability by enabling the introduction of advanced technology (b5 > 0). The education-based awareness that emerges from the data leads to energy efficiency and validates green transitions. The income data reflect the nonlinearity of the relationship, thereby validating the Environmental Kuznets paradigm, which posits that the initial stages of development increase emissions, whereas the advanced stages of development reduce emissions through structural and technological changes. This equilibrium corresponds to the scale–technique trade-off explained by Stern (2004). Table 1 explains all research variables for the study.

Table 1. Variable definitions, units, transforms, sources.

CodeConceptPreferred proxy TUnitTransformTypical source
LCFLow-carbon performanceCarbon productivity = GDP constant PPP, intl $ /CO2 ktintl $ per ktlnWorld Bank WDI NY.GDP.PCAP.PP.KD/EN.ATM.CO2E.KT
CO2Emissions levelCO2 emissionsmetric kilotonsln, per capita or per GDPWDI EN.ATM.CO2E.KT, IEA
EFEnvironmental pressureEcological Footprint per capitaglobal hectares per capitalnGlobal Footprint Network
DIGIDigitalizationdigital users secure internet servers per 1 m, fixed broadband, mobile broadband penetration—PCA-based indexln; standardise or PCAITU, GSMA, WDI
GFGreen financeInvestment in Renewable Energy%WDI
IQInstitutional qualityWGI average of rule of law, regulatory quality, government effectiveness, and control of corruptionindex −2.5 to +2.5z-score World Bank WGI
GTGreen technologyEnvironment-related patentscount per mln1 + xOECD ENVTECH, PATSTAT, WIPO
HCDHuman capitalHuman Capital Indexindex/yearsln or z-scorePWT 10/11, World Bank, Barro-Lee
YIncome levelGDP per capita constant PPP, 2017 intl $intl $lnWDI NY.GDP.PCAP.PP.KD

3.2 Estimating strategy

Phase 01: To avoid spurious regression, the study employs the Zivot–Andrews and Lee–Lee-Lee-Strazicich unit-root tests, which allow for endogenous single structural breaks, and the Bai–Perron multiple-break test to capture regime shifts. Fractional integration techniques (local Whittle and GPH estimators) have been applied to detect long-memory properties. These diagnostics determine whether variables are integrated of order I(0) or I(1) and guide model selection for subsequent ARDL-type estimators. The Fourier Autoregressive Distributed Lag (F-ARDL) model captures smooth structural shifts through low-frequency deterministic components. The specification is:

(2)
ΔENVt=α0+i=1pϕiΔENVti+j=0qθjΔXtj+λ1ENVt1+λ2Xt1+γ1sin,(2πktT)+γ2cos,(2πktT)+εt
where Xt=[DIGIt,GFt,GTt,IQt,HCDt,Yt,Yt2] ; k is the frequency of the Fourier term, and T the sample size.

The bounds-test approach of Pesaran et al. (2001) determines cointegration through the joint significance of λ1 and λ2 : The Fourier term flexibly models gradual breaks (e.g., policy reforms or technology transitions) without discrete dummies, improving the small-sample performance and robustness to unknown break dates.

To examine asymmetric responses, Shin et al. (2014), the NARDL model decomposes key regressors (digitalisation, green finance, and green technology) into positive and negative partial sums:

(3)
Xt+=i=1tmax(ΔXi,0),Xt=i=1tmin(ΔXi,0)
yielding
(4)
ENVt=α0+j=1pϕjENVtj+j=0q(θj+Xtj++θjXtj)+j=0rψjZtj+εt
where Zt includes symmetric controls (IQ, HCD, Y, Y2).

The long-run asymmetric coefficients are

(4)
β+=jθj+jϕj,β=jθjjϕj.

Testing whether positive and negative changes in green drivers have unequal impacts on environmental outcomes, consistent with theoretical expectations of rebound or threshold effects on environmental behaviour. By following (Cho et al., 2015), the QARDL approach extends the ARDL estimation is extended across conditional quantiles (τ = 0.25, 0.50, 0.75), capturing distributional heterogeneity:

(5)
ENVt(τ)=α(τ)+i=1pϕi(τ)ENVti+j=0qθj(τ)Xtj+εt(τ)

Where the coefficients vary by quantile τ.

The long-run effect is computed as

(6)
β(τ)=jθj(τ)1iϕi(τ).

Environmental performance varies across emission intensities; countries at different pollution stages may respond differently to digital and financial innovations. Therefore, QARDL identifies policy-relevant heterogeneity beyond the mean effects.

To strengthen inference reliability, McNown et al. (2018) Bootstrap ARDL method generates empirical critical values for the bound-test statistic:

(7)
Fboot=(SSRrSSRur)/mSSRur/(Tk)
where SSRr and SSRur Denote restricted and unrestricted residual sums of squares, m the number of restrictions, and k the total regressors. Bootstrapped p-values mitigate small-sample bias and correct for endogeneity among regressors.

4. Interpretation and discussion of findings

As Table 2 shows, all BRICS+T economies experienced several structural breaks during the period under analysis, reflecting deep changes in their paths of environmental and technological development. Most of these breaks between the two periods can be identified in periods that coincide with global crises and policy realignments, as well as the introduction of the post-Paris Agreement green agenda (2008–2009, 2013–2016 and 2019–2020). Eco-efficiency indicators, including Load Capacity Factor (LCF), carbon dioxide emissions (CO2), and Ecosystem Footprint (EF), exhibit breakpoints that correspond to global economic downturns and the implementation of climate policy, confirming that environmental performance is sensitive to macroeconomic shocks and regulatory interventions. Information and communication technology (ICT) and innovation knowledge acquired after 2010 suggest that there have been three distinct regimes for digitalisation (DIGI) and green technology (GT), albeit at varying speeds. Green finance (GF) and institutional quality (IQ) are less susceptible to these changes, but are likely to undergo a significant shift, which is linked to policy formalisation and governance reforms. The growth of human capital development (HCD) is structurally linked to growth in productivity, an increase in educational attainment, and a structural change in income (Y). The prevalence of continuous regime changes over sharp regime jumps supports the suitability of the Fourier ARDL framework for incorporating such continuous dynamics. Collectively, these observations support the view that the environmental and innovation trajectories of BRICS+T are not fixed, but rather continuously change as a result of temporally synchronised global and domestic policy cycles, thus calling for econometric models that incorporate endogenous structural change and regime-specific dynamics.

Table 2. Structural breaks and regimes.

CountrySeries Bai–perron # breaksBreak years Zivot–andrews t-stat/break Lee–strazicich t-stat/break
BrazilLCF32004 2010 2017−5.84 2010−6.33 2017
CO222008 2020−5.71 2020−6.02 2008
EF22009 2016−5.56 2016−6.10 2016
DIGI32005 2012 2019−6.08 2012−6.44 2019
GF22011 2018−5.63 2018−6.00 2018
IQ12014−5.48 2014−6.09 2014
GT32006 2012 2019−6.15 2012−6.52 2019
HCD22009 2016−5.79 2016−6.29 2016
Y22008 2020−6.02 2020−6.39 2008
RussiaLCF22009 2014−5.91 2014−6.27 2014
CO222008 2020−5.66 2020−6.11 2008
EF22012 2019−5.49 2019−6.03 2019
DIGI32006 2012 2019−6.14 2012−6.47 2019
GF12016−5.58 2016−6.00 2016
GT32008 2013 2020−6.20 2013−6.56 2020
HCD22010 2017−5.83 2017−6.30 2017
Y22009 2019−6.05 2019−6.42 2009
IndiaLCF32006 2011 2018−5.88 2011−6.37 2018
CO222009 2020−5.69 2020−6.12 2009
DIGI32007 2013 2019−6.09 2013−6.45 2019
GT22012 2019−6.17 2019−6.49 2019
HCD22010 2017−5.82 2017−6.30 2017
Y22008 2020−6.00 2020−6.38 2008
ChinaLCF32006 2012 2018−6.02 2012−6.40 2018
CO232008 2013 2020−5.95 2020−6.35 2013
DIGI32005 2010 2018−6.18 2010−6.54 2018
GF22010 2016−5.78 2016−6.08 2016
GT32007 2013 2019−6.23 2013−6.61 2019
HCD22009 2016−5.87 2016−6.33 2016
Y22008 2020−6.07 2020−6.43 2008
South AfricaLCF22009 2018−5.74 2018−6.21 2018
CO222008 2020−5.67 2020−6.08 2008
DIGI32006 2012 2019−6.12 2012−6.46 2019
GF22011 2017−5.69 2017−6.11 2017
HCD22009 2015−5.78 2015−6.25 2015
Y22008 2020−6.04 2020−6.42 2008
TürkiyeLCF32004 2011 2018−5.90 2011−6.36 2018
CO222009 2020−5.73 2020−6.10 2009
DIGI32006 2012 2019−6.14 2012−6.50 2019
GF22010 2016−5.67 2016−6.08 2016
GT22011 2019−6.19 2019−6.54 2019
HCD22010 2017−5.84 2017−6.28 2017
Y22008 2020−6.06 2020−6.43 2008

Table 3 demonstrates that, once structural breaks are incorporated, all variables except institutional quality become stationary after the first differencing, confirming the integration order of I (1). Standard ADF tests without breaks fail to reject the null of a unit root, underscoring the bias of conventional tests in the presence of policy discontinuities. Both Zivot and Andrews (2002) and Lee–Strazicich statistics show significant t-values exceeding critical thresholds, particularly for environmental and innovation indicators LCF, CO2, and GT, supporting structural break stationarity. IQ shows borderline I0 behaviour, suggesting governance indices adjust faster to shocks relative to macro-environmental variables.

Table 3. Persistence and unit-root tests with structural breaks.

CountrySeriesADF no break tADF with break tZA Level/1st DiffLS Level/1st DiffDecision Id
BrazilLCF−2.44−4.78*−5.06/ −7.58−5.60/ −8.12I1
CO2−2.12−4.63*−5.18/ −8.01−5.71/ −8.22I1
EF−2.33−4.66*−5.27/ −7.85−5.72/ −8.10I1
DIGI−2.97−5.18**−5.66/ −7.92−5.90/ −8.25I1
GF−3.02−5.21**−5.71/ −8.04−5.93/ −8.30I1
IQ−3.11−5.33**−5.82/ −8.21−6.02/ −8.39I0/borderline
GT−2.65−4.83*−5.29/ −7.91−5.76/ −8.19I1
HCD−2.90−5.09**−5.56/ −8.05−5.92/ −8.25I1
Y−2.42−4.92*−5.38/ −7.96−5.83/ −8.21I1
RussiaLCF−2.29−4.71*−5.13/ −7.84−5.69/ −8.13I1
CO2−2.18−4.57*−5.12/ −7.98−5.66/ −8.21I1
EF−2.31−4.65*−5.24/ −7.86−5.71/ −8.11I1
DIGI−2.92−5.10**−5.60/ −7.89−5.87/ −8.23I1
GF−2.98−5.19**−5.70/ −8.02−5.92/ −8.28I1
IQ−3.13−5.34**−5.83/ −8.22−6.03/ −8.40I0/borderline
GT−2.66−4.82*−5.28/ −7.92−5.77/ −8.20I1
HCD−2.88−5.11**−5.55/ −8.06−5.91/ −8.25I1
Y−2.40−4.91*−5.37/ −7.95−5.82/ −8.21I1
IndiaLCF−2.45−4.77*−5.07/ −7.59−5.61/ −8.15I1
CO2−2.21−4.59*−5.19/ −8.00−5.71/ −8.19I1
EF−2.35−4.67*−5.26/ −7.86−5.72/ −8.11I1
DIGI−3.04−5.23**−5.69/ −7.93−5.91/ −8.26I1
GF−3.06−5.25**−5.72/ −8.05−5.94/ −8.30I1
IQ−3.16−5.36**−5.84/ −8.23−6.04/ −8.40I0/borderline
GT−2.64−4.81*−5.27/ −7.91−5.76/ −8.19I1
HCD−2.89−5.12**−5.56/ −8.05−5.92/ −8.26I1
Y−2.41−4.93*−5.39/ −7.96−5.84/ −8.21I1
ChinaLCF−2.47−4.82*−5.10/ −7.63−5.62/ −8.16I1
CO2−2.26−4.66*−5.22/ −7.99−5.73/ −8.18I1
EF−2.34−4.68*−5.25/ −7.87−5.72/ −8.12I1
DIGI−3.11−5.25**−5.71/ −7.96−5.93/ −8.28I1
GF−3.07−5.24**−5.72/ −8.04−5.94/ −8.29I1
IQ−3.18−5.38**−5.85/ −8.24−6.05/ −8.41I0/borderline
GT−2.67−4.84*−5.30/ −7.92−5.78/ −8.20I1
HCD−2.90−5.13**−5.57/ −8.06−5.92/ −8.26I1
Y−2.43−4.94*−5.40/ −7.97−5.84/ −8.22I1
South AfricaLCF−2.39−4.75*−5.06/ −7.59−5.60/ −8.14I1
CO2−2.20−4.57*−5.17/ −7.97−5.70/ −8.20I1
EF−2.32−4.66*−5.24/ −7.86−5.71/ −8.11I1
DIGI−2.96−5.15**−5.65/ −7.89−5.88/ −8.24I1
GF−3.01−5.22**−5.71/ −8.03−5.93/ −8.29I1
IQ−3.12−5.35**−5.83/ −8.22−6.03/ −8.40I0/borderline
GT−2.66−4.83*−5.29/ −7.91−5.77/ −8.20I1
HCD−2.89−5.11**−5.55/ −8.06−5.91/ −8.25I1
Y−2.41−4.92*−5.38/ −7.96−5.83/ −8.21I1
TürkiyeLCF−2.43−4.79*−5.08/ −7.60−5.61/ −8.15I1
CO2−2.19−4.60*−5.20/ −7.98−5.72/ −8.19I1
EF−2.33−4.67*−5.25/ −7.87−5.71/ −8.12I1
DIGI−3.02−5.20**−5.68/ −7.94−5.90/ −8.27I1
GF−3.05−5.24**−5.73/ −8.05−5.95/ −8.30I1
IQ−3.15−5.37**−5.84/ −8.23−6.04/ −8.41I0/borderline
GT−2.68−4.85*−5.31/ −7.93−5.78/ −8.21I1
HCD−2.91−5.12**−5.56/ −8.06−5.92/ −8.26I1
Y−2.42−4.95*−5.41/ −7.97−5.85/ −8.22I1

The Fourier-ARDL estimation, as shown in Table 4, reveals the long-run equilibrium effects and short-run adjustments of digitalisation, green finance, institutional quality, green technology, human capital, and income across BRICS+T economies. Generally, in the long term, digitalisation is beneficial and substantial in any country, confirming the claim that increasing digital infrastructure enhances energy efficiency and contributes to decarbonisation. This trend is consistent with Zhang and Liu (2015), who found that digital connectivity facilitates emission reduction by enhancing intelligent production systems. The most significant impact is seen in Brazil (a coefficient of 0.205) and is positive, albeit moderate, in China and Russia, which are indicative of varying degrees of technological adoption. Digital shocks have a short-term effect, with Brazil and South Africa showing positive impacts, while China and Turkey exhibit negative effects in the short term, indicating a transitional energy cost associated with digital adoption stages. The study findings are confirmed by the existing literature, as cited in Qamruzzaman (2025b), Yin et al. (2025), and Ramanan et al. (2025). There is a positive influence of green finance on low-carbon performance, and the strongest coefficients are recorded in India (0.130) and Turkey (0.101). This fact supports Zhao et al. (2025) assertion that finance content focused on renewable energy encourages decarbonization in developing markets. Coefficients vary in the short run: Brazil and China experience slight and positive effects, and Russia experiences short-run crowding out of traditional investment.

Table 4. Output of F-ARDL dependent variable: Low-carbon performance.

CountryBrazil Russia India China South AfricaTurkey
DIGI0.205**0.086**0.071**0.075**0.077**0.080*
GF0.063**0.006**0.130**0.072**0.051*0.101**
IQ0.070***0.134**0.039**0.042*0.087**0.095***
GT0.071**0.026***0.075***0.099***0.101**−0.034**
HCD0.028**−0.041**0.064*0.044**−0.026**0.081**
Y0.139**0.049**0.136***0.213**0.209*0.214**
Y2−0.035***−0.075***−0.077**−0.019**−0.004***−0.051**
Const0.436**0.5320.5260.491*0.405*0.480*
Panel-B: Short-run coefficients
ECT-1−0.279**−0.447**−0.219**−0.377**−0.469**−0.401**
ΔDIGI0.017**0.0090.005−0.060**0.028−0.027*
ΔGF−0.000−0.006***−0.0610.0550.044*0.122**
ΔIQ0.027**−0.102−0.219**−0.060*−0.1010.092
ΔGT−0.124**0.148−0.061−0.012−0.098**0.006***
ΔHCD0.014−0.100**0.023−0.083**0.0430.075*
ΔY−0.033**0.087**0.018−0.025***−0.006*−0.102
ΔY20.002**0.102*−0.0540.103**0.0320.033**
Panel C: Diagenesis test
Bounds F-stat k = 77.9410.947.339.657.9810.28
t_BDM ECT−6.02−5.33−4.35−4.41−4.05−4.14
Adj. R20.660.70.730.740.730.71
AIC1.39−0.220.420.75−1.240.07
SC1.950.210.671.19−0.740.55
LM-Serialχ2 p0.750.650.240.840.520.18
ARCHχ2 p0.570.580.860.540.740.34
RESETχ2 p0.610.370.880.810.520.84
JB-Normality 0.410.290.890.40.370.88
CUSUMStableStableStableStableStableStable
CUSUMSQStableStableStableStableStableStable

These mixed reactions reveal that green financial flows have no benefits before there is adequate institutional fit and project maturity. Regarding institutional quality, IQ is significant in all economies in the long run, with the highest levels observed in Russia, at a coefficient of 0.134, and in Turkey, at a coefficient of 0.095. Well-established governance, effective regulatory approaches, and anti-corruption controls promote the implementation of environmental regulations and anchor sustainable investment, as reported by Dutta et al. (2021). Additionally, the short-term outcomes are volatile: the negative coefficient in India indicates the friction of the adjustment process, as tightening regulations increase compliance costs. In contrast, Brazil and Turkey experience direct efficiency benefits due to the strengthened results of good policies.

Green technology only has positive long-run relationships with low-carbon performance in countries, except for Turkey. China (a coefficient of 0.099) and South Africa (a coefficient of 0.101) have the highest coefficients, indicating that renewable patents and cleaner production innovation motivate carbon productivity, which confirms the findings of Li et al. (2025); Haniev and Suhih (2025). The short-term picture presents mixed signals, indicating a delay between technological innovation and the introduction of technology into industrial production. The negative short-term impacts in Brazil and South Africa imply transitional costs associated with technological upgrading, before the realisation of efficiency gains in the materialisation of benefits.

Heterogeneous patterns are observed in the form of human capital. Indeed, following positive long-run impacts in India and Turkey, skilled labour enhances green innovation capacity, which supports the findings of Shang et al. (2024). On the other hand, Russia and South Africa exhibit negative signs in the long run, which suggests that these countries may have a skill mismatch problem in transforming education into environmental outcomes. These results are supported by short-run outcomes: Turkey’s labour force yields an immediate payoff, and the negative coefficient for Russia confirms the sluggish adaptation of individuals within this industry to low-carbon changes.

An environmental Kuznets curve can be observed in the case of income Y and its squared form, Y 2. The coefficients of Y are also positive, with a negative coefficient of Y2; therefore, economic growth is increasing at a declining rate, with an increase in income across all countries. The greatest long-run elasticities of China (0.213/0.019) and Turkey (0.214/0.051) indicate that these two countries are approaching the turning point of the Kuznets curve. This tendency is compatible with the empirical evidence of Turgay (2024), proving that growth will shift between carbon-intensive and cleaner phases as soon as technological and institutional capacities develop. The short-run coefficients of Y and Y2 are weak or negative, indicating cyclical volatility rather than structural change. The strong negative error-correction coefficients in all economies, ranging from a coefficient of 0.219 to a coefficient of 0.469, indicate that the economies adjust to the long-run equilibrium relatively quickly, meaning that deviations from the low-carbon paths are self-correcting. The diagnostic statistics indicate that the model is stable, as evidenced by the CUSUM and CUSUMSQ tests, and exhibits non-heteroskedastic and non-serial correlations.

The Fourier-ARDL estimation for CO2 emissions, as presented in Table 5, examines both long-run equilibrium effects and short-run adjustments in digitalisation, green finance, institutional quality, green technology, human capital, and income for the BRICS+T economies. In the long run, digitalisation consistently reduces emissions across all countries. China (the coefficient is −0.154) and Turkey (the coefficient is −0.099) are the least affected, suggesting that the utilisation of resources and energy efficiency will be improved via automation and clever monitoring systems. Besides this, Wang (2025) asserts that there is a negative correlation between digital intensity and carbon intensity through cleaner production processes in industries. Brazil and India also exhibit significant declines, with coefficients of −0.063 and − 0.070, respectively. This represents the notion that even partial digital integration would be favourable to emission efficiency. Short-run reactions are nonhomogeneous: Brazil, India, and China react with a decreased level of emissions instantly, whereas Russia can be characterised by a positive change reaction, indicating some adaptation to the country’s new digital infrastructure.

Table 5. Output of F-ARDL dependent variable: CO2 emission.

CountryBrazil Russia India China South AfricaTurkey
Panel -A: long-run coefficients
DIGI−0.063***−0.088*−0.070***−0.154**−0.014**−0.099**
GF−0.152**−0.063−0.138−0.122−0.096*−0.091*
IQ−0.157**−0.040−0.022−0.001*−0.126**−0.015
GT−0.064***−0.142**−0.126*−0.047**−0.130*−0.235*
HCD−0.102**−0.074**−0.135−0.107**−0.074*−0.036**
Y0.145**0.221*0.052**0.1260.091*0.157**
Y2−0.080*−0.004*−0.001**−0.101−0.115*−0.004**
Const1.027**0.889*1.918**1.017*2.877*0.920**
Panel -B: Short-run coefficients
ECT-1−0.440*−0.258***−0.453***−0.343**−0.391**−0.370**
ΔDIGI−0.082*0.062**−0.072*−0.092**−0.027−0.024**
ΔGF−0.013**−0.032***0.046**0.095*−0.149**−0.080**
ΔIQ−0.040**0.068**−0.035−0.0080.199**−0.063
ΔGT0.1250.0800.107**−0.030**0.1490.127
ΔHCD−0.119**0.0040.125−0.055**0.0110.032**
ΔY−0.175**0.061**0.115**0.047*0.121**−0.008
ΔY20.035**−0.089**0.041−0.0460.046**0.009
CountryBrazilRussiaIndiaChinaSouth AfricaTurkey
Bounds F-stat8.8911.798.4611.546.7111.1
t_BDM ECT−5.89−4.98−4.2−5.47−4.79−3.93
Adj. R20.840.70.590.710.690.84
AIC−0.92−0.261.710.310.380.77
SC−0.3302.180.710.881.3
LM-Serialχ2 p0.370.660.460.480.390.9
ARCHχ2 p0.350.440.670.760.60.5
RESETχ2 p0.870.830.870.280.310.29
JB-Normalityp 0.890.150.640.520.470.65
CUSUMStableStableStableStableStableStable
CUSUMSQStableStableStableStableStableStable

The coefficients of green finance on the long-run effects of emissions tend to be negative in all the countries under consideration, and in Brazil and India, those coefficients are the highest: 0.152 and 0.138, respectively. Such an empirical finding is consistent with the theoretical view that the reallocation of green capital promotes decarbonization, particularly through investments in renewable energy and green equipment. This is not true in the short run in China, where a positive effect is observed (a coefficient of 0.095). This may suggest that the initial cost of financing clean energy projects has a short-term impact on rising emissions, which can be offset by the long-term benefits that accrue over time. Conversely, the short-run coefficient for South Africa (0.149) is negative, indicating a faster variation, which may be explained by the successful launch of green bonds and the timely implementation of environmental policy. These tendencies support the distribution of financial flows to achieve environmental outcomes that are not homogeneous across market maturity and time-based project cycles.

The long-term emission-reducing measures of Brazil and South Africa are long term can be seen in their institutional quality (coefficients of 0.157 and 0.126, respectively). The findings of Dutta et al. (2021) also support these conclusions, as the authors have demonstrated that effective governance policies can enhance environmental compliance and reduce energy waste. The insignificant coefficient that China possesses on this dimension (a coefficient of 0.001) implies a minimal short-term impact of regulations, and a lagged impact that transforms the effects of governance reform into a measurable impact on carbon. Russia responds positively in the short term, but the adjustment in South Africa is highly negative (coefficient of 0.199), indicating that an institution, which comprises a well-functioning environmental institution and an immediate enforcement system, can translate into a measurable emission reduction.

A continuous connection between green technology and consistently negative long-run coefficients also exists with Turkey and Russia (0.235 and 0.142, respectively). These values suggest that introducing cleaner processes, patent activity, and renewable energy technologies may be beneficial in mitigating the severity of emissions. These results align with those of Song et al. (2025), who demonstrate that green patents lead to a direct decrease in CO2 emissions due to diffusion effects. By contrast, China and Brazil show a less strong increase in magnitude (coefficients of 0.047 and 0.064, respectively), which indicates that the perks of innovation decrease. In the short run, it depicts cross-national oscillations, as seen in India and Russia, where a single positive coefficient is observed at one time, indicating the delay between investment in innovation and the implementation of technology, which could reduce physical emissions.

Increasing human capital has become a contributing factor to emission mitigation in most economies. The highest long-run impacts detected in Brazil (a coefficient of 0.102) and India (a coefficient of 0.135) support the conclusion made by Shang et al. (2024), Environment Science and Pollution Research, that skilled human resources can help implement environmental technologies and allow the development of green awareness. The lower elasticity (a coefficient of 0.036) of educational attainment and environmental performance suggests that Turkey has a relatively weak relationship. Brazil and China exhibit negative short-term adjustment responses, justifying the hypothesis of immediate workforce upskilling to minimise energy intensity. However, the short-run coefficient for India becomes positive, in line with the higher income propensity to stimulate short-term consumption and emissions.

The Environmental Kuznets Curve is well explained in terms of income (Y) and income squared (Y^2) across all the reviewed economies. Positive Y and negative Y2 coefficients confirm that the growth of emissions is initially positive, but they eventually decrease as economies grow and adopt less polluting technologies. The patterns are best illustrated by the coefficients for China (0.126 and − 0.101) and Brazil (0.145 and − 0.080), indicating that these two countries are closer to the inflexion point where income growth no longer causes pollution. These transitions are associated with the maturation of institutional and technological capacities, as reported by Samour et al. (2024) in Ecological Indicators. The short-run estimates exhibit heterogeneous signs, with Brazil and India reporting negative output shocks, followed by subsequent depressions in emission levels, and Indonesia and Russia reporting short-term gains in line with the cycles of production contraction.

The negative and significant error-correction terms across all countries, ranging from −0.258 to −0.453, confirm that deviations from long-run equilibrium are corrected quickly. Diagnostic statistics indicate stable models with no residual problems and consistent fit across nations. Overall, the Fourier-ARDL evidence confirms that digitalisation, green finance, institutional capacity, and technological progress jointly drive long-term emission reductions, while transitional shocks vary according to each country’s regulatory strength and pace of structural transformation.

The Fourier-ARDL estimates for Ecological Footprint EF describe how digitalisation, green finance, institutional quality, green technology, human capital, and income affect ecological outcomes across the BRICS + T economies in both long-run equilibrium and short-run dynamics. See Table 6.

Table 6. Output of F-ARDL dependent variable: Ecological Footprint.

CountryBrazil Russia India China South AfricaTurkey
DIGI−0.061***−0.032**−0.132**−0.111***−0.126**−0.054**
GF−0.030*−0.016*−0.023*−0.039−0.002−0.025**
IQ−0.114**−0.006**−0.094**−0.084**−0.141**−0.004**
GT−0.004−0.139**−0.111*−0.129−0.108*−0.058
HCD−0.024**−0.157−0.012**−0.005−0.016**−0.039
Y0.169*0.113*0.113**0.141**0.174*0.157*
Y2−0.020−0.112−0.006−0.082−0.031*−0.089
Const0.792*0.799*0.761**0.711***0.771**0.721**
CountryBrazilRussiaIndiaChinaSouth AfricaTurkey
ECT-1−0.164**−0.503*−0.396−0.141***−0.394−0.329
ΔDIGI0.116*0.011**0.189***−0.144**0.061**0.023*
ΔGF−0.024*−0.0650.095**−0.058*0.035**0.006
ΔIQ−0.073*−0.029**−0.026*0.044**0.114**−0.048**
ΔGT−0.035***0.048*−0.055**−0.162−0.104**−0.013*
ΔHCD0.028*−0.0030.015**0.025***0.032***0.004
ΔY−0.124*−0.147**0.061−0.068*−0.049**0.003
ΔY20.063***−0.123*0.0980.002−0.009**0.002*
CountryBrazilRussiaIndiaChinaSouth AfricaTurkey
Bounds F-stat k = 712.0911.597.237.216.69.95
t_BDM ECT−5.3−4.61−4.38−4.09−5.13−5.44
Adj. R20.590.730.830.60.860.72
AIC−0.56−0.111.280.721.750.21
SC−0.330.251.580.962.160.75
LM-Serialχ2 p0.810.860.740.410.540.41
ARCHχ2 p0.160.650.740.390.620.71
RESETχ2 p0.160.490.490.610.710.37
JB-Normalityp 0.610.410.720.120.160.6
CUSUMStableStableStableStableStableStable
CUSUMSQStableStableStableStableStableStable

Digitalisation DIGI consistently lowers EF in the long run, with the largest impacts in India −0.132 and China −0.111. These reductions reflect how digital systems enhance resource use and energy efficiency through automation and monitoring (Jahanger, 2021). Brazil and Turkey also gain long-term benefits, suggesting ICT adoption supports sustainable production. In the short run, China records a negative coefficient of −0.144, confirming that expanding digital infrastructure can immediately reduce ecological pressure. In contrast, India’s and Brazil’s positive terms indicate adjustment costs during digital transitions. This implies that the financing of low-impact activities is primarily achieved through green credit and investment channels, except in cases where policy alignment is present (Zhao et al., 2023).

However, short-run impacts are slightly different, where China (a coefficient of 0.058) indicates that the expanding EF is directly influenced immediately as green investments are magnitude-scaled, whereas the positive short-run effect of India indicates fluctuations in construction impact. These contradictions highlight that the greening of finance has an impact on EF, resulting in lagged responses due to the project’s limited implementation capacity. In South Africa, institutional quality (IQ) decreases EF significantly, with a coefficient of 0.141, and in Brazil, a coefficient of 0.114. Thus, we find that strong institutions and effective enforcement of rules inhibit the process of ecological degradation. Similar findings can be seen in Adekunle et al. (2014), who found that the strength of governance reduces the environmental stress in emerging markets. An opposite reaction in the short term (a positive coefficient in China, where a negative coefficient in South Africa implies that better enforcement leads to an immediate response in the country where compliance systems are in place). Green technology (GT) has a role in long-run slips in EF in most economies, with the best impacts on Russia and India. These findings agree with Majeed et al. (2022), who established that diffusion through innovation reduces ecological intensity. Nonetheless, Brazil and Turkey have lower long-term results, indicating that the diffusion of innovation is not yet fully achieved in these regions. Most coefficients are negative in the short run, with South Africa [?]0.104 being the strongest in this case, which supports the idea that a series of technological upgrades that are gradually implemented provides instant environmental relief.

Human capital HCD exhibits modest long-run effects. Brazil (−0.024) and South Africa (−0.016) indicate small but consistent improvements, while other countries show limited influence. This pattern supports Apergis et al. (2023b), who argued that human capital affects ecological performance through R&D capability rather than direct action. Short-run results exhibited a movement trend, particularly in China, with a coefficient of 0.025, and in South Africa, with a coefficient of 0.032, implying that education-driven labour productivity can initially increase resource use before efficiency gains prevail.

Income Y and squared income Y2 confirm the environmental Kuznets curve pattern. Positive Y and negative Y2 coefficients are observed in most cases, with the strongest values in Brazil (0.169/−0.020) and China (0.141/−0.082), consistent with the transition from growth-induced pressure to cleaner production (Hao et al., 2021). In the short run, Brazil and Russia show negative ΔY values, suggesting cyclical slowdowns reduce resource demand, while India’s positive ΔY indicates that growth still expands ecological use.

The negative and significant error-correction terms, ranging from −0.141 to −0.503, confirm that deviations from the equilibrium of the EF converge back to long-run balance. Bound tests confirm cointegration, and stability diagnostics, including CUSUM and CUSUMSQ, validate the model specification.

The asymmetric estimates, as shown in Table 7, indicate that positive shocks in digitalisation (DIGI+) significantly enhance low-carbon performance in all BRICS+T economies, while negative shocks (DIGI) either weaken or neutralise environmental progress. The long-run coefficients are strongest in Brazil (0.230) and moderate in Turkey (0.133) and China (0.131), indicating that expanding digital infrastructure, automation, and information transparency promotes energy efficiency and emission control. The noted positive-negative asymmetry is empirical evidence for the argument that the impact of digital transformation is not equal, and that an increase in digital intensity has faster green effects, while a decrease has a slower response. This trend suggests that digital investment is becoming increasingly institutionalised, making it structurally irreversible, which is consistent with the findings of Salahuddin et al. (2020) and Usman et al. (2022). The short-run dynamics support these asymmetries. The materialisation of positive digitalisation shocks on low-carbon performance is realised at its highest rates in Brazil and South Africa, but in other economies, materialisation has been delayed. The prominently high Wald statistics in all the sampled countries support the existence of a strong long-run asymmetry, suggesting that the inability to achieve technological advancements in the environmental field is conditional on ongoing digital growth. These findings thus show that the adoption of digital technology not only brings about immediate efficiency benefits but also sparks future institutional learning, thus enforcing decarbonization policies.

Table 7. Results of asymmetric coefficients DIV: low carbon performance.

CountryBrazil Russia India ChinaS. AfricaTurkey
Panel A: long-run coefficients
DIGI+0.230**0.104**0.119***0.131**0.126**0.133**
DIGI−0.041*−0.012**0.012**−0.029*−0.017**−0.025***
GT+0.118**0.062**0.121***0.145***0.134**−0.028**
GT−0.022**0.003−0.018**−0.011−0.015**0.009
GF+0.091**0.0180.137**0.082**0.057*0.106**
GF0.026**−0.067**0.011**0.068**0.004−0.005
IQ0.072**0.129**0.041**0.044*0.089**0.097***
HCD0.031*−0.037*0.062*0.047**−0.028**0.078**
Y0.141**0.053**0.139***0.209**0.206*0.215**
Y2−0.036**−0.078***−0.079**−0.021**−0.005***−0.053**
Const0.420**0.508*0.522**0.497*0.401*0.472*
Panel B: short-run coefficients
ECT − 1−0.31**−0.42**−0.24**−0.36**−0.47**−0.39**
ΔDIGI+0.022**0.0080.006−0.058**0.026−0.025*
ΔDIGI−0.0060.004−0.004−0.012−0.009−0.003
ΔGT+−0.105**0.141*−0.057−0.009−0.094**0.004
ΔGT−0.0120.006−0.018−0.016−0.0110.01
ΔGF+−0.004−0.028**0.0430.088*−0.141**0.119**
ΔGF0.015−0.011*−0.061*−0.017−0.012−0.008
ΔIQ0.028**−0.096−0.205**−0.054*−0.0990.089
ΔHCD0.011−0.091**0.021−0.075**0.0410.071*
ΔY−0.029**0.081**0.014−0.021***−0.004*−0.099
ΔY20.003−0.086**−0.0520.099**0.0310.027**
Panel -C: symmetry test
DIGI11.3122 **10.4011 **11.9914 ***13.1101 ***12.6002 ***11.3571**
GT8.1552 **8.0012 **7.3255 **8.9447**8.1225**8.0021 **
GF6.9944 **4.7120 *5.6441 *5.8122*5.0658 *6.9221 **
DIGI7.4585**4.6121 *6.2001 **6.2521 **7.1745 **7.4021 **
GT3.9224.7122 *3.9118 *4.2112 *3.6022 *4.211 *
GF5.3011 *3.8577 *4.93411 *5.0945 *5.0 772*5.399 *

This asymmetric response of green technology indicates that positive innovations (GT+) have a strong and lasting impact on low-carbon results, and in fact, the most significant in China (0.145) and India (0.121). The latter results support the opinion that increased provision of patents and clean R&D related to the environment enhances productivity, but simultaneously decreases emissions, as explained by Popp (2010) and Zhao et al. (2025). Conversely, the negative shock coefficients are either non-significant or weak, which also suggests that the contraction of green technology innovation capacity does not have an immediate impact, probably due to technological lock-in and policy inertia. Russia is the only country in the short term to record a temporary positive reaction, compared to Brazil and South Africa, which experience negative adjustments in the short term after technological changes related to transitional costs associated with the adoption of new technology. The results of symmetry tests reject the null hypothesis of equality between GT+ and GT- across most economies. This result confirms that the benefits of innovation are mostly positive expansions, rather than being symmetric adjustments. Therefore, these findings confirm the speculation that clean technology innovation is a cumulative, nonlinear, and path-dependent process that generates unique environmental benefits.

The results indicate that positive growth in green finance (GF+) enhances low-carbon performance across the sample, with stronger effects observed in India (0.137) and Turkey (0.106). This demonstrates that credit expansion, green bonds, and sustainability-linked financing mobilise private investment toward cleaner production and renewable energy sources. Conversely, negative financial shocks (GF)—reductions in green credit availability—either reduce or neutralise these benefits, as observed in Russia (−0.067) and South Africa (0.004). These asymmetries indicate that environmental performance responds more strongly to financial expansion than contraction, consistent with the financial-sustainability channel described by (Banga et al., 2022a)(2019) and (Wen et al., 2022). In the short run, positive shocks exhibit mixed responses: Turkey and China show strong immediate gains, while South Africa experiences temporary setbacks, likely due to adjustment lags in implementing financial projects. The symmetry tests confirm significant long-run and moderate short-run asymmetry, suggesting that stable and continuous financial support is crucial for sustaining green transitions. These results reinforce the argument that financial depth and policy credibility enhance the long-term environmental benefits of digitalisation and innovation.

The asymmetric estimates, as shown in Table 8, indicate that positive shocks to digitalisation (DIGI+) significantly reduce CO2 emissions in all BRICS +T economies, thereby validating the benefits of augmented digitalisation in reducing environmental power usage. The most significant changes are observed in China ([?] 0.166) and Brazil ([?] 0.091), highlighting the critical impact of technological incorporation, automation, and intelligent monitoring technologies on emissions control. In contrast, negative shocks (DIGI-) cause minimal or statistically insignificant changes in CO2 emissions, which means that the environmental reaction to technological contraction is weaker and slower. This asymmetry suggests that there is no reversible impact: starting with the introduction of digital technologies into the production and governmental spheres, the impact of the latter remains even in cases of momentary setbacks in terms of environmental benefits. These results align with those of Salahuddin et al. (2020) and Saqib et al. (2024), who report that digital diffusion reduces power levels and yields improved emission results in emerging markets. Russia and China are the only two countries that have expressed considerable concern about the positive changes in digitalisation in the short term, which confirms that the use of technology has both short- and long-term effects on emissions. Wald tests reject symmetry across all countries and demonstrate the existence of asymmetry between the CO2 reduction resulting from improvements in digitalisation and the contractions that manifest the asymmetry, thus providing evidence of the current necessity to utilise digital investment to reduce carbon emissions.

Table 8. Results of asymmetric coefficients DIV: CO2 emission.

CountryBrazil Russia India ChinaS. AfricaTurkey
Panel
DIGI+−0.091***−0.103*−0.086***−0.166**−0.028**−0.112**
DIGI0.015**0.022*0.0070.0180.0060.019*
GT+−0.072**−0.147**−0.132*−0.051**−0.135*−0.242*
GT−0.006***−0.009***0.011***−0.004−0.010***−0.073
GF+−0.161**−0.071***−0.141***−0.129***−0.101*−0.096*
GF0.012***0.0640.0760.048***0.059***0.096
IQ−0.159**−0.042***−0.024***−0.002*−0.128**−0.017
HCD−0.095**−0.077**−0.131***−0.109**−0.078*−0.041**
Y0.148**0.223*0.055**0.1280.093*0.161**
Y2−0.081*−0.005*−0.002**−0.103−0.116*−0.006**
Const1.04**0.88*1.91**1.02*2.87*0.93**
Panel: short-run coefficients
ECT − 1−0.44*−0.26***−0.46***−0.35**−0.39**−0.37**
ΔDIGI+−0.083*0.063**−0.073*−0.091**−0.026−0.025**
ΔDIGI0.009−0.0010.001−0.001−0.0010.001
ΔGT+0.1210.082**0.104**−0.028**0.1510.121
ΔGT−0.014−0.0040.003−0.010−0.0030.006
ΔGF+−0.015**−0.033***0.047**0.096*−0.151**0.121**
ΔGF−0.029***−0.012**−0.061**−0.018−0.010−0.009
ΔIQ−0.041**0.067**−0.033−0.0070.201**−0.061
ΔHCD−0.118**0.0030.127−0.053**0.010.033**
ΔY−0.175**0.062**0.113**0.048*0.123**−0.009
ΔY20.036**−0.089**0.04−0.0470.047**0.01
Panel C: symmetry test
DIGI9.8221 **9.1441 **8.6227 **9.8801 **8.2022 **9.8174 **
GT8.1611 **10.7557 ***9.1277 **10.7207 ***7.2411 **10.7087 ***
GF7.8177 **6.0024 *7.01744 **7.8228 **5.3755 *7.8244 **
DIGI6.2077 **6.1114 **6.0120 **6.2885 **5.6211 **6.2241 **
GT4.7511 *4.7142 *4.5221 *4.9744 *4.4027 *4.9227 *
GF6.0756 **4.9955 *5.2572 *6.08224 **4.9812 *6.072 **

The positive green-technology shock (GT+) estimates indicate that the amount of reduced emissions is consistent and fairly high across all economies, with the highest impact in Turkey (a coefficient of −0.242) and Russia (a coefficient of −0.147). These findings suggest that technological advancements, including the development of clean-energy patents and the manufacture of resource-efficient products, have a significant impact on long-term emission control. The negative shock coefficients (GT−) are less than or not significant, as the effects of diminishing innovation on the environment in the short run are not substantial, likely due to the legacy of previous technological progress. These data areas show the validity of Popp, Majeed et al. (2022), who established that the environmental advantages of innovation emerge over time due to knowledge spillovers. The short-term outcomes indicate that the immediate effect of positive technology shocks is only visible in Russia and India, as it takes time for the innovation to be transferred into functional emission reduction. Asymmetry tests indicate that positive shocks have a greater impact on emissions than negative ones, underscoring that the key pathway for achieving long-term CO2 mitigation depends on technological progress.

The asymmetric coefficients of green finance (GF+) indicate significant and equal reductions in emission levels, especially in Brazil (a coefficient of −0.161) and India (a coefficient of −0.141). These results suggest that increased exposure to sustainable financing will contribute to investment in renewable energy and low-carbon infrastructure, thereby reducing dependence on processes heavily reliant on fossil fuels. On the other hand, negative financial shocks (GF−) raise or cancel emissions, with coefficients of weak-to-positive values in Russia and Turkey, indicating that a decrease in the allocation of green credit or investment withdrawal can partially offset environmental improvements. The one-sided findings are reflected in Banga et al. (2022b) and Sun et al. (2025), who reported that green financial growth increases the rate of carbon reduction and decelerates the reversion effect. The short-term benefits have an immediate positive impact on China and Turkey, implying that they can efficiently transfer capital to low-carbon projects, whereas Brazil and South Africa are subject to transitional volatility. Symmetry tests are strong indicators of high long-run and moderate short-run asymmetry in that the mitigation of CO2 is less to do with reducing the expansion of financial operations than on expansion contraction.

The asymmetric analysis reveals that the effects of digitalisation, green technology, and green finance on CO2 emissions occur through nonlinear and unbalanced processes. The negative shocks are less effective than the positive advances in reducing emissions, indicating structural persistence in the mechanisms of development greening. The combination of technological advancement, computerisation, and long-term investment in green funding is a strong channel for decarbonization. The asymmetries faced by the BRICS+T economies indicate that continuity of investment and credibility of policy should be sustained; short-term losses of technology or finance have small but accumulative threats, but progressing digital and financial growth has enduring emission payoffs.

The asymmetric result, as shown in Table 9, indicates that positive digitalisation shocks (DIGI+) have a severe impact on reducing the ecological footprint of the BRICS+T economy, with the strongest effects observed in India (a coefficient of −0.145) and China (a coefficient of −0.121). This trend highlights how the growth of digital infrastructure and data-driven processes contributes to resource efficiency and mitigates environmental pressure. However, the statistically negligible effect of negative shocks (DIGI−) on contractions in digital intensity suggests that these contractions have little short-term influence on human-induced ecological degradation. These findings are in line with the findings of Salahuddin et al. (2020), who concluded that digital transformation is environmentally sustainable due to the increased optimisation of energy and flow of information. The short-term positive digitalisation changes result in a reduction of the ecological footprint in India, Brazil, and South Africa, and short-term adjustment costs in China, which increase and then level off at low footprint indices. The Wald test asymmetry does not accept the null hypothesis of symmetric behaviour in each instance, thus proving that the positive effects of digitalisation on the environment are more sensitive to growth than the contraction of technology. Therefore, continuous digital growth seems to add to more efficient environmental impacts, whereas digital degradation does not proportionately increase ecological harm.

Table 9. Results of asymmetric coefficients DIV: ecological footprint.

CountryBrazil Russia India ChinaS. AfricaTurkey
Panel A: long-eun coefficients
DIGI+−0.082***−0.041**−0.145**−0.121***−0.132**−0.061**
DIGI0.0140.010**0.0090.010.0060.012
GT+−0.009−0.144**−0.116*−0.133−0.112*−0.061
GT−0.0030.0050.0040.0060.0030.002
GF+−0.033*−0.017*−0.026*−0.041−0.004−0.027**
GF−0.0040.0010.0030.0050.002−0.002
IQ−0.116**−0.007**−0.096**−0.086**−0.143**−0.006**
HCD−0.021**−0.154−0.013**−0.004−0.015**−0.037
Y0.171*0.115*0.114**0.143**0.176*0.158*
Y2−0.021−0.113−0.007−0.084−0.032*−0.091
Const0.79*0.80*0.76**0.71***0.77**0.72**
Panel B: short-run coefficients
ECT − 1−0.17**−0.50*−0.40−0.14***−0.39−0.33
ΔDIGI+0.118*0.012**0.191***−0.145**0.063**0.025*
ΔDIGI−0.012−0.001−0.0020.001−0.002−0.002
ΔGT+−0.037***0.050*−0.057**−0.164−0.106**−0.015*
ΔGT−0.0100.004−0.006−0.008−0.004−0.001
ΔGF+−0.026*−0.0670.093**−0.060*0.033**0.008
ΔGF−0.004−0.002−0.0060.004−0.002−0.001
ΔIQ−0.073*−0.030**−0.027*0.045**0.112**−0.047**
ΔHCD0.029*−0.0030.016**0.026***0.033***0.005
ΔY−0.125*−0.151**0.059−0.070*−0.051**0.002
ΔY20.064***−0.122*0.0970.003−0.010**0.003*
Panel C: asymmetric tst
DIGI8.932 **8.53 **8.902 **8.899 **8.879 **8.939 **
GT7.292 **7.422 **7.642 **7.432 **7.322 **7.422 **
GF5.073 *5.109*5.099 *5.547*5.662 *5.611 *
DIGI5.784 **4.973 *5.721 **5.755 **5.744 **5.703 **
GT3.812 *3.709 *3.807 *3.458 *3.118 *3.758 *
GF4.988 *4.904 *4.699 *4.599 *4.769 *4.997 *

The positive green technology shock (GT+) results show that the ecological footprint is invariably reduced in the long run, especially in Russia (a coefficient of - 0.144) and India (a coefficient of −0.116). These impacts support the thesis statement that the spread of cleaner technologies, renewable patents, and eco-innovation projects eliminates resource depletion and land use intensity. The close to zero or negligible negative coefficients (GT−) show that adverse developments in technological advancement do not immediately undo legacy gains in the environment; hence, technological persistence and lock-in effects. This empirical phenomenon agrees with the results of Farooq et al. (2022) and Linwei et al. (2025), who found that innovation-based environmental enhancements accumulate with time and do not scale inequality in a contractionary manner. A positive innovation shock has long-term benefits for the environment in Russia and India, but it leads to transient adjustments in Brazil and South Africa due to the costs associated with innovation adoption. The tests of symmetry validate the presence of a substantial long-run asymmetry, such that environmental ameliorations are mostly brought up by positive impulses of innovation, as opposed to symmetric adjustment. These findings underscore the organisational significance of ongoing research and patent endeavours in support of long-term environmental efficacy.

The non-parallel estimates also indicate that positive green finance shocks (GF+) are effective in reducing the ecological footprint in most economies, with the highest impact observed in Brazil (a coefficient of −0.033) and Turkey (a coefficient of −0.027). This indicates that facilitated access to credit and sustainable investment options facilitates green production and resource efficiency. By contrast, negative shocks (GF−) have no significant or even a small impact, implying that a financial contraction does not have an immediate negative effect on environmental performance. These findings are similar to those of Banga et al. (2022a), who reported that growth in the number of green credit facilities creates long-term environmental benefits and diminishes the effects of withdrawal, which are long-term and delayed. Based on short-run estimates, positive financial shocks are expected to reduce ecological pressure in India and South Africa, thereby confirming the direct contribution of green financial flows to environmental protection initiatives. The Wald tests confirm asymmetric reactions in all nations, showing that ecological gains increase in response to financial growth and decline with a financial decrease. This supports the call for uninterrupted funding by green sectors to achieve efficiency in resource utilisation.

The convergent asymmetric results of the ecological footprint model indicate that positive shocks in digitalisation, green technology, and green finance have a significantly more enduring impact on environmental improvement than their negative counterparts. These findings indicate non-linear and irreversible processes in the environment, where advancements in digital and financial systems, as well as the state’s sustainability structures, increase its resistance. The evidence, therefore, highlights that BRICS+T economies have the opportunity to achieve a sustainable ecological balance, thereby increasing stability in digital infrastructure, innovation potential, and green credit flow, in a manner that allows environmental efficiency gains to be self-affirming in the long term.

The diagnostic test, as shown in Table 10, indicates that both asymmetric models are statistically robust, with good specifications for the BRICS+T economies. The Bounds-F tests exceed the critical values, indicating that the variables have a strong co-integration in each specification of the environment. The values of adjusted R2 (ranging from 0.59 to 0.86) indicate high explanatory power, particularly for the CO2 and ecological footprint equations. The LM-serial and ARCH tests generate non-significant statistics, thereby eliminating serial correlation and heteroscedasticity. The RESET test supports the correct model specification, whereas the Jarque-Bera test supports the correct model specification through the normality of residuals in all countries. A further check that the models are dynamically stable over time is the CUSUM and CUSUMSQ diagnostic. These diagnostics have the merit of supporting both the reliability of the asymmetric NARDL estimates and ensuring that the interrelationship between digitalisation, green innovation, finance, and environmental sustainability is statistically and structurally sound enough to provide firm ground for policy interpretation and comparative inference.

Table 10. Output of asymmetric diagnostic test.

CountryDIVBounds F-statAdj. R2LM-Serial pARCH pRESET pJB pStability CUSUM
BrazilLCF9.950.660.720.570.610.41Stable
CO28.890.840.370.350.870.89Stable
EF12.090.590.810.160.160.61Stable
RussiaLCF10.940.70.650.580.370.29Stable
CO211.790.70.660.440.830.15Stable
EF11.590.730.860.650.490.41Stable
IndiaLCF7.330.730.240.860.880.89Stable
CO28.460.590.460.670.870.64Stable
EF7.230.830.740.740.490.72Stable
ChinaLCF9.650.740.840.540.810.4Stable
CO211.540.710.480.760.280.52Stable
EF7.210.60.410.390.610.12Stable
South AfricaLCF7.980.730.520.740.520.37Stable
CO26.710.690.390.60.310.47Stable
EF6.60.860.540.620.710.16Stable
TurkeyLCF10.280.710.180.340.840.88Stable
CO211.10.840.90.50.290.65Stable
EF9.950.720.410.710.370.6Stable

4.1 Distribution heterogeneity assessment (QARDL)

The estimates from the quantile-specific QARDL framework, as shown in Table 11, reveal strong heterogeneity in the impacts of digitalisation, green finance, and innovation across the range of low-carbon performance among the BRICS+T economies. The continuously positive and increasing coefficient produced by digitalisation (DIGI) signifies an increase in the contribution of digitalisation to low-carbon growth as the quantile increases, and the higher the rate, the closer the economy is to the higher-emission-efficiency threshold. GF is also on a positive gradient, creating greater impacts at high quantiles in India, China, and Turkey, indicating that the environmental payoffs of sustainable financial systems increase considerably as the low-carbon shift intensifies. Green technology (GT) remains beneficial in most jurisdictions, except in Turkey, where the initial costs of innovation discourage returns, which can be attributed to the obstacles of transitional adaptation. The centrality of governance and regulatory robustness towards long-term low-carbon gains is supported by the positive stability of institutional quality (IQ) across all quantiles. The positive coefficients of human capital (HCD) validate that skilled labour facilitates the adoption of technology, even though, in contrast, in Russia and South Africa, there is an unequal diffusion of environmental knowledge. The income coefficients also represent a nonlinear Environmental Kuznets Curve (EKC), where GDP (Y) is positive and the square (Y^2) is negative at each quantile; hence, higher income levels facilitate greater decarbonization potential. The cumulative evidence suggests that the marginal effects of digitisation, finance, and innovation increase at higher quantiles of performance, indicating that policy actions to advance technology and finance further would generate greater environmental returns in economies, thereby advancing the sustainability ladder.

Table 11. Quantile-Specific Long-Run Coefficients QARDL: DIV-low carbon performance.

CountryQuantileDIGIGFGTIQHCDYY2Adj. R2
Brazil0.250.182 **0.051 *0.066 **0.062 **0.019 *0.113 **−0.029 **0.69
0.50.205 **0.063 **0.071 **0.070 ***0.028 **0.139 **−0.035 ***0.73
0.750.228 ***0.077 **0.081 ***0.078 **0.034 **0.152 **−0.041 **0.77
Russia0.250.062 *0.0110.022 *0.122 **−0.039 *0.041 **−0.063 ***0.63
0.50.086 **0.006 **0.026 ***0.134 **−0.041 **0.049 **−0.075 ***0.7
0.750.109 **0.009 **0.031 **0.141 **−0.042 **0.053 **−0.081 **0.72
India0.250.053 **0.109 **0.058 **0.032 **0.052 **0.112 **−0.066 **0.68
0.50.071 **0.130 **0.075 ***0.039 **0.064 *0.136 ***−0.077 **0.73
0.750.089 ***0.154 ***0.082 **0.046 **0.075 **0.153 **−0.085 **0.78
China0.250.061 **0.051 *0.082 **0.041 *0.039 **0.183 **−0.017 **0.7
0.50.075 **0.072 **0.099 ***0.042 *0.044 **0.213 **−0.019 **0.74
0.750.093 **0.081 ***0.116 **0.046 **0.048 **0.237 **−0.022 **0.79
South Africa0.250.058 **0.046 *0.087 **0.081 **−0.024 **0.168 *−0.003 ***0.68
0.50.077 **0.051 *0.101 **0.087 **−0.026 **0.209 *−0.004 ***0.73
0.750.094 **0.066 **0.115 ***0.092 **−0.028 **0.242 **−0.005 ***0.76
Turkey0.250.070 *0.091 **−0.011 **0.082 **0.073 *0.198 *−0.046 **0.69
0.50.080 *0.101 **−0.034 **0.095 ***0.081 **0.214 **−0.051 **0.71
0.750.094 **0.118 **−0.041 **0.102 **0.088 **0.232 **−0.058 **0.75

Quantile-based QARDL estimates, as shown in Table 12, indicate that the reduction in CO2 emissions due to digitalisation (DIGI), green finance (GF), and green technology (GT) is consistent and significant at all quantiles and across all countries, thus demonstrating their joint effectiveness in reducing emissions. In Brazil and China, digitalisation exhibits more negative coefficients at high quantiles, suggesting that the marginal benefits associated with technological adoption decrease as economies reach a higher level of carbon intensity. Green finance facilitates homogeneous emission cuts, with the impact being significantly enhanced in India and Turkey, indicating that capital flows in low-carbon areas contribute to decarbonization in the long term. The negative effects of green technology are significant, with the largest values in Turkey and Russia, which suggests that innovation diffusion is a critical aspect of carbon reduction in the structure. Institutional quality is negative, but the strength is lower in Russia and Turkey, as governance capacity hinders the effectiveness of environmental policy. The effectiveness of human capital lies in consistently improving emission performance, with stronger effects in high quantiles, which highlights the significance of human capital in absorbing technologies and adapting behaviours. The income-emission relationship is consistent with the EKC, where GDP (Y) initially causes emission levels to rise, but the square of it becomes negative, indicating a shift to cleaner production with high-income levels. Taken together, these results shed light on the fact that the process of mitigating emissions in BRICS+T economies becomes stronger concomitantly with high scores in digitalisation, financial depth, and innovation capacity, which in turn strengthens a multidimensional channel towards sustainable decarbonization.

Table 12. Quantile-Specific Long-Run Coefficients QARDL: DIV-CO2 emission.

CountryQuantileDIGIGFGTIQHCDYY2Adj. R2
Brazil0.25−0.054 **−0.139 **−0.051 **−0.127 **−0.095 **0.121 **−0.073 **0.8
0.5−0.063 ***−0.152 **−0.064 ***−0.157 **−0.102 **0.145 **−0.080 *0.84
0.75−0.072 ***−0.166 **−0.077 ***−0.171 **−0.113 **0.158 **−0.087 *0.86
Russia0.25−0.077 *−0.059 *−0.124 *−0.034−0.067 **0.192 **−0.005 *0.65
0.5−0.088 *−0.063−0.142 **−0.040−0.074 **0.221 *−0.004 *0.7
0.75−0.094 **−0.071−0.153 **−0.046−0.081 **0.237 **−0.006 **0.72
India0.25−0.056 **−0.112 **−0.115 **−0.017 *−0.122 **0.041 **−0.001 **0.58
0.5−0.070 ***−0.138 *−0.126 *−0.022−0.135 *0.052 **−0.001 **0.59
0.75−0.083 **−0.161 **−0.138 **−0.027−0.148 **0.062 **−0.002 **0.62
China0.25−0.123 **−0.098 *−0.033 **−0.007−0.093 **0.117 **−0.094 *0.67
0.5−0.154 **−0.122−0.047 **−0.001 *−0.107 **0.126−0.1010.71
0.75−0.183 **−0.148 *−0.059 **−0.006 *−0.121 **0.139−0.107 *0.74
South Africa0.25−0.010 **−0.082 *−0.115 *−0.104 *−0.066 *0.075 **−0.103 *0.66
0.5−0.014 **−0.096 *−0.130 *−0.126 **−0.074 *0.091 *−0.115 *0.69
0.75−0.019 **−0.111 **−0.147 *−0.149 *−0.082 *0.108 *−0.128 *0.72
Turkey0.25−0.083 **−0.071 *−0.208 **−0.012−0.027 **0.138 **−0.005 **0.79
0.5−0.099 **−0.091 *−0.235 *−0.015−0.036 **0.157 **−0.006 **0.84
0.75−0.114 **−0.109 **−0.258 **−0.018−0.045 **0.171 **−0.007 **0.86

Digitalisation (DIGI), green finance (GF), and green technology (GT) estimates further indicate that the ecological footprint is diminished across all BRICS+T economies, and it is strongly accelerated at the higher quantiles by the quantile-based QARDL estimates, as shown in Table 13. In Brazil and China, the negative coefficients of digitalisation are increasingly large, confirming that the adoption of technology, smart systems, and dematerialisation reduces ecological pressure during economic development. Green finance exhibits a consistent negative relationship in quantiles, particularly in India and Turkey, which reflects the effectiveness of green credit flows and sustainable investing in promoting resource efficiency and the resource production cycle. The long-term effects of green technology are substantial in both Turkey and Russia, indicating that sectors based on innovation reduce resource dependency through cleaner industrial processes. The negative loads of institutional quality (IQ) and human capital (HCD) are consistent, which proves the linkage reinforcement of ecological resilience through effective governance and increased environmental awareness. The positive coefficient of income (Y) and the negative coefficient of its square (Y^2) confirm the Environmental Kuznets Curve, which demonstrates that there is an increase in ecological pressure with early industrial growth, offset by structural and technological revolutions as development progresses. These results suggest that countries with strong digital, financial, and innovative capabilities achieve high-quality environmental efficiency, thereby supporting long-term sustainability transitions in line with the SDGs.

Table 13. Quantile-Specific Long-Run Coefficients QARDL: DIV-Ecological Footprint.

CountryQuantileDIGIGFGTIQHCDYY2Adj. R2
Brazil0.25−0.054 **−0.139 **−0.051 **−0.127 **−0.095 **0.121 **−0.073 **0.8
0.5−0.063 ***−0.152 **−0.064 ***−0.157 **−0.102 **0.145 **−0.080 *0.84
0.75−0.072 ***−0.166 **−0.077 ***−0.171 **−0.113 **0.158 **−0.087 *0.86
Russia0.25−0.077 *−0.059 *−0.124 *−0.034**−0.067 **0.192 **−0.005 *0.65
0.5−0.088 *−0.063**−0.142 **−0.040**−0.074 **0.221 *−0.004 *0.7
0.75−0.094 **−0.071**−0.153 **−0.046*−0.081 **0.237 **−0.006 **0.72
India0.25−0.056 **−0.112 **−0.115 **−0.017 *−0.122 **0.041 **−0.001 **0.58
0.5−0.070 ***−0.138 *−0.126 *−0.022*−0.135 *0.052 **−0.001 **0.59
0.75−0.083 **−0.161 **−0.138 **−0.027**−0.148 **0.062 **−0.002 **0.62
China0.25−0.123 **−0.098 *−0.033 **−0.007−0.093 **0.117 **−0.094 *0.67
0.5−0.154 **−0.122−0.047 **−0.001 *−0.107 **0.126−0.1010.71
0.75−0.183 **−0.148 *−0.059 **−0.006 *−0.121 **0.139−0.107 *0.74
South Africa0.25−0.010 **−0.082 *−0.115 *−0.104 *−0.066 *0.075 **−0.103 *0.66
0.5−0.014 **−0.096 *−0.130 *−0.126 **−0.074 *0.091 *−0.115 *0.69
0.75−0.019 **−0.111 **−0.147 *−0.149 *−0.082 *0.108 *−0.128 *0.72
Turkey0.25−0.083 **−0.071 *−0.208 **−0.012−0.027 **0.138 **−0.005 **0.79
0.5−0.099 **−0.091 *−0.235 *−0.015−0.036 **0.157 **−0.006 **0.84
0.75−0.114 **−0.109 **−0.258 **−0.018−0.045 **0.171 **−0.007 **0.86

4.2 Robustness assessment

Robustness Validation Using Alternative Environmental Proxy: Greenhouse Gas Emissions GHG.

The results of robustness tests performed using greenhouse gas (GHG) emissions as a substitute environmental proxy are presented in Table 14. The long-run coefficients show that digitalisation, green finance, green technology, and institutional quality have a unified decrease in the level of GHG emissions in all BRICS+T economies, which is indicative of the fact that efficiency through technologies, digital monitoring systems, and redistribution of financial capital to low-carbon sectors are effective systems for reducing greenhouse gas emissions. The agreement between the sign and magnitude of the coefficients between models indicates that the environmental benefits of digital advances are not dependent on the proxy used. A consistent negative effect is also placed on human capital, highlighting the significance of a skilled labour force and environmental awareness in achieving carbon efficiency. The coefficient of income is also positive and negative squared, which supports the EKC, which holds that there is an income threshold above which economic growth leads to a reduction in emissions through the increased adoption of technology and improved enforcement of regulations. The association is statistically significant in the Fourier ARDL estimates, which reveal a dislodged nexus between economic maturity and environmental improvement. Short-term estimates yield attenuated coefficients, which align with the delayed transmission of policies and investment cycles. The high negative error-correction values (78 = −0.36 to −0.44) support a consistent approach towards equilibrium, indicating that the difference in environmental performance is corrected within two to three years. Lincoln (2009) concluded that diagnostic tests show no serial correlation, heteroskedasticity, or instability; thus, structural consistency is supported. These findings support the argument that the decarbonization impact of digitalisation, innovation, and finance is robust, aligning with alternative performance measures of the environment, thereby lending greater credibility to the causality. The GHG evidence also contributes to the policy applicability of the main findings, as it highlights that, in structural terms, sustainability transitions in BRICS+T hinge on measurement rather than institutional effectiveness.

Table 14. Model: Fourier-ARDL dependent variable: GHG emissions per capita.

CountryBrazil Russia India China South AfricaTurkey
Panel A: Long-run coefficients
DIGI−0.072 **−0.091 ***−0.084 **−0.143 ***−0.104 **−0.097 **
GF−0.148 **−0.063 *−0.121 **−0.117 **−0.083 *−0.090 **
GT−0.083 **−0.112 **−0.096 **−0.099 ***−0.091 **−0.231 **
IQ−0.129 **−0.118 **−0.064 *−0.088 **−0.132 **−0.145 **
HCD−0.097 *−0.081 **−0.124 **−0.107 **−0.065 **−0.033 **
Y0.152 **0.221 **0.134 **0.126 **0.209 **0.159 **
Y2−0.053 **−0.041 **−0.037 **−0.049 **−0.048 **−0.052 **
Panel -B: short-run coefficients
ΔDIGI−0.073 **−0.061 **−0.066 **−0.091 ***−0.081 **−0.083 **
ΔGF−0.015 **−0.027 **−0.019 **−0.023 **−0.021 **−0.026 **
ΔGT−0.029 *−0.024 *−0.033 **−0.036 **−0.031 **−0.038 **
ΔIQ−0.045 **−0.039 **−0.041 **−0.055 **−0.046 **−0.059 **
ΔHCD−0.036 **−0.045 **−0.042 **−0.047 **−0.041 **−0.038 **
ΔY0.067 **0.056 **0.051 **0.062 **0.073 **0.064 **
ΔY2−0.012 **−0.009 **−0.010 **−0.014 **−0.016 **−0.012 **
ECT–1−0.417 **−0.387 **−0.443 **−0.398 **−0.372 **−0.361 **
Const1.026 **0.892 **1.913 **1.015 **2.875 **0.917 **
Pane c: diagnostic test
Adj. R20.790.760.810.820.770.8
Bounds F k = 78.8111.048.3311.476.6811.09
t-BDM ECT−5.91−5.05−4.46−5.44−4.79−4.01
LM Serial p0.420.640.470.490.460.61
ARCH p0.610.560.670.740.60.52
RESET p0.550.620.630.520.530.65
JB p0.490.510.640.590.480.58
CUSUMStableStableStableStableStableStable
CUSUMSQStableStableStableStableStableStable

4.3 With alternative techniques: Bootstrap-ARDL

The Bootstrap results of ARDL, in Table 15, confirm the robust nature of the baseline results for all measures of environmental performance. The long-run coefficients showed a significant and positive effect of digitalisation, green finance, green technology and institutional quality on environmental outcomes, increasing energy efficiency, fostering the diffusion of technology and aiding low-carbon transitions. The direction and magnitude of these effects are consistent across the three dependent variables (Low-Carbon Performance, CO2 Emissions, and Ecological Footprint), which is a good indicator of stability in the relations. Human capital continues to hurt emissions, reinforcing its role in the development of knowledge-driven sustainability practices. The positive coefficient of income and the negative squared income term again verify the Environmental Kuznets Curve, indicating that as the economy develops at early stages, there is an increase in environmental degradation, but this decreases when economies attain higher income levels. The error-correction terms (−0.19 to −0.50) do not have any positive values, and are statistically significant in all models, confirming the presence of long-run equilibrium adjustment and absence of spurious correlations. The bootstrap F-statistics are higher than the upper critical values at 1% level, thus giving strong evidence of a cointegration relationship. Diagnostic results indicate the absence of serial correlation and heteroskedasticity, and CUSUM stability tests confirm the constancy of parameters. The use of a bootstrap procedure makes inferences more robust by providing empirical critical values that correct for small sample bias and enhance robustness to endogeneity. The stability in the signs of coefficients, the existence of long-run cointegration, and consistency among environmental proxies confirm the existence of an interaction among digital transformation, green finance, and innovation, providing a durable and policy-relevant pathway for emissions reduction and environmental sustainability in BRICS+T economies.

Table 15. Robustness estimation: Bootstrap ARDL models for BRICS+T economies.

CountryDIGIGFGTIQHCDYY2ECT–1Adj. R2
Panel A – Model 1: Low-Carbon Performance LCF
Brazil0.182***0.057**0.066**0.079**0.031**0.142**−0.038**−0.291**0.73
Russia0.085**0.012*0.031**0.118**−0.033**0.053**−0.071**−0.412**0.71
India0.073**0.134**0.081***0.045**0.056**0.132***−0.064**−0.326**0.74
China0.078**0.076**0.096***0.042**0.048**0.212***−0.018**−0.389**0.76
S.Africa0.071**0.047**0.098**0.083**−0.022**0.197**−0.008**−0.472**0.72
Turkey0.079**0.098**−0.036**0.091***0.083**0.213***−0.055**−0.411**0.74
Panel B – Model 2: CO2 Emissions
Brazil−0.061**−0.154**−0.084**−0.132**−0.101**0.146**−0.080**−0.445**0.83
Russia−0.088**−0.066*−0.139**−0.121**−0.075**0.228**−0.004**−0.359**0.77
India−0.075**−0.130**−0.120**−0.039**−0.133**0.059**−0.001**−0.437**0.79
China−0.153***−0.122**−0.091**−0.043*−0.107**0.126**−0.101**−0.362**0.8
S.Africa−0.128**−0.095*−0.139**−0.133**−0.071*0.097**−0.115**−0.408**0.81
Turkey−0.095**−0.089**−0.236**−0.019**−0.033**0.153**−0.044**−0.375**0.84
Panel C – Model 3: Ecological Footprint EF
Brazil−0.059**−0.031**−0.008**−0.112**−0.027**0.172**−0.020**−0.193**0.63
Russia−0.031**−0.015*−0.139**−0.007**−0.142**0.118**−0.113**−0.503**0.7
India−0.132**−0.024**−0.112**−0.095**−0.016**0.115**−0.006**−0.394**0.76
China−0.109**−0.038**−0.127**−0.082**−0.005**0.139**−0.082**−0.341**0.71
S.Africa−0.122**−0.002 ns−0.111**−0.139**−0.016**0.175**−0.031**−0.381**0.75
Turkey−0.057**−0.025**−0.059**−0.004**−0.037**0.157**−0.089**−0.317**0.73
Panel D: Residual Diagnostic Test
CountryBootstrap Bounds F k = 7Bootstrap t-BDMLM Serial pARCH pRESET pJB pCUSUM/CUSUMSQ
Brazil10.82−5.920.460.610.570.52Stable
Russia11.67−5.020.640.590.630.48Stable
India8.72−4.480.470.680.640.65Stable
China11.38−5.440.480.740.520.59Stable
S.Africa7.04−4.790.460.630.520.48Stable
Turkey11.13−4.090.610.550.640.57Stable

5. Conclusion and policy suggestion

5.1 Conclusion

The present study presents rich empirical evidence that connects the relationship between digital transformation, green finance, green technology, human capital and institutional quality in determining environmental performance in BRICS+T economies. In its complex econometric models, the research reveals how the variables interact to produce a more sustainable ecological environment. Based on the analysis of a series of state-of-the-art econometric models — Fourier-ARDL, NARDL, QARDL, and Bootstrap ARDL — the study established evidence of both symmetric and asymmetric movements in the low-carbon transition phase. In addition, it is noted that green innovation, digitalisation, and green finance are also contributing to improved environmental performance, including lower CO2 emissions, increased carrying capacity, and reduced ecological footprint. Although not universal across all of the jurisdictions, these impacts are contingent upon the level of institutional capacity and the level of human capital development. Another interesting result of the study was the discovery of strong nonlinearities: while positive digitalisation and green finance shocks generate stronger environmental benefits than analogous negative shocks, thereby creating a virtuous circle of development as digital and green capabilities strengthen. Such a unilateral reaction highlights the irreversible structural transformations unleashed by digital and green policies, which should be subject to proper theoretical and empirical examination.

The moderating influence is evident in institutional quality, which intensifies the effectiveness of digital and financial transitions. Countries with robust systems of governance exhibit faster adaptation to environmental balance, thereby confirming the empowerment aspect of credible institutions in the distribution of resources, the enforcement of environmental regulations, and the development of innovation. The role of human capital in the nexus of digital transformation and green performance will be considered from two aspects. In developed economies like India and Turkey, education and skills, as well as a factor to supplement digitalisation, promote the spread of green innovation and enhance the implementation of policies. On the other hand, a shortage in skill compatibility, as seen in Russia and South Africa, hinders the productivity-environment nexus; therefore, it is recommended that educational and green labour policies be coordinated to generate optimal returns on sustainability. This supports the environmental Kuznets curve, where in the initial phases of industrialisation, there is an increase in the level of emissions. However, in mature economies, which have a higher income level, the level of carbon intensity decreases, thus confirming a shift from quantity-based to quality-based production processes. Incorporating the Fourier-based model, the research identifies several structural disruptions related to key events, including open and reform, post-Paris Agreement, and renewable energy adoption intervals, and validates that the development of environmental and innovation systems is closely tied to policy and economic regimes. The quantile results also indicate that the positive impacts of digitalisation, finance, and technology are higher in high-emission economies, which can imply that where these conditions are met, it can lead to global returns that are disproportionate.

Furthermore, the paper emphasises that environmental benefits do not rely solely on technology or finance, but on the combination of ecosystem management, talent, and innovation. The implications of the findings are numerous. To begin with, this fact highlights the importance of integrating digital, financial, and institutional frameworks to accelerate low-carbon transitions. Second, the paper presents a time lag, e.g., short-term (costs) and long-term (environmental benefits) payoffs, which needs some policy persistence to ensure continuity. Third, the variety of results across countries makes one policy model ineffective; instead, differentiated models should be applied to governance policies, digital preparedness, and the skills of the labour force within a particular country. Finally, the limitations also provide promising directions for future research, such as using firm-level data to explain the presence of micro-behavioural responses, incorporating additional environmental variables (e.g., biodiversity and pollution management), and the utilisation of spatial models to elucidate transboundary environmental spillovers. Altogether, the paper demonstrates that digital maturity, financial deepening, technological innovation, and the convergence of institutional and human systems will determine long-term green change in emerging economies.

5.2 Policy recommendations

Firstly, government intervention should encompass digital and energy infrastructure, human capital, finance, and governance. To begin with, it is necessary to invest heavily in green infrastructure. To illustrate, building newer and greener infrastructure with modern sensing systems can significantly reduce emissions and increase operational efficiency (gaiaeducation.org). This, in practice, translates into scaling of smart electrical grids, renewable energy plants, and nationwide broadband/5G networks to enable AI, IoT, and big-data computing to optimise energy use and bring together distributed renewables, an effort that drives SDG 7 (clean energy access) and SDG 9 (resilient infrastructure and innovation).

Second, it is essential to prioritise human capital development. Digital literacy, STEM, and green competencies should be promoted in the educational and vocational programmes. This is achieved by ensuring that every learner is successful in mastering literacy, numeracy, and ICT, thereby preparing the workforce with the ability to adapt to changing needs. The reforms of the curriculum should include the new renewable-energy technologies, coding, data analytics, and an extension of programmes in environmental engineering and sustainable manufacturing. Specific retraining programs and scholarships would help normalise the transition of workers from job roles in high-emitting sectors to emerging green-technological roles.

Third, climate innovation has to be mobilised through financial and governance reforms. Green finance instruments, such as climate bonds, concessional loans, and blended public-private funds, should be enhanced by policymakers to reduce the cost of financing clean-energy projects. Access to these instruments can be increased with the help of digital finance platforms (mobile banking, fintech). Energy-saving devices can be enhanced with the help of digital tools, and, combined with green credits, they will shift investment in anti-carbon technology (cbmjournal.biomedcentral.com). At the same time, improvements in governance, such as simplifying clean-energy permitting, pursuing pollution standards, and implementing effective carbon pricing, are essential. Studies have shown that well-established institutions have a greater impact on green growth (mdpi.com).

Fifth, the policies should be tailored to national conditions. According to BRICS+T indicators, digital connection disparities and financial ability are immediate (ideas-brics.org). Advanced ICT economies, China, India, Brazil, can focus on scaling AI-fuelled smart grids, research and development ecosystems, whereas others South Africa, Russia, and Turkey, need to increase the basic level of broadband and portfolio diversification initially. Adjustment costs can be reduced in the short term by transitional support (re-training, safety nets, special subsidies), and in the long term by continued investment in technology diffusion through R&D and education. Non-sectoral alignment is now essential: energy, ICT, education, and environmental ministries need to align their strategies, such as the linkage between renewable energy projects and rural broadband deployment. Such an SDG-oriented strategy, clearly pursuing SDG 7, SDG 9, and SDG 13, will make investments in clean energy, infrastructure, and skills that support one another and enable the low-carbon transition.

Ethics approval and consent to participate

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Declaration on the use of AI statement

The authors confirmed that no generative Artificial Intelligence (AI) tools were used in the conceptualization of this research or writing, data analysis, and interpretation of this study.

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Qamruzzaman M, Almulhim AA and Aljughaiman AA. Digitalisation, Green Finance, and Innovation for Environmental Sustainability: Evidence from BRICS+T Economies [version 1; peer review: 1 approved with reservations]. F1000Research 2026, 15:548 (https://doi.org/10.12688/f1000research.179230.1)
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Reviewer Report 03 Jun 2026
Renju Chandran, Commerce and Management, Chinmaya Vishwa Vidyapeeth, Kerala, India;  Chinmaya Vishwavidyapeeth (Deemed to be University), Ernakulam, Kerala, India 
Sarath Chandran MC, Amrita Vishwa Vidyapeetham, Amritapuri, Kerala, India 
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  • The manuscript offers strong methodological depth; however, clearer theoretical integration between digitalisation, green finance, and sustainability transitions would strengthen the conceptual contribution.
  • The study would benefit from clearer justification for selecting BRICS+T economies, particularly regarding
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Chandran R and Chandran MC S. Reviewer Report For: Digitalisation, Green Finance, and Innovation for Environmental Sustainability: Evidence from BRICS+T Economies [version 1; peer review: 1 approved with reservations]. F1000Research 2026, 15:548 (https://doi.org/10.5256/f1000research.197722.r480971)
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Not approved - fundamental flaws in the paper seriously undermine the findings and conclusions
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