A Frequency Domain Causality Approach Towards the Management of Supply Chain Digitalization and Environmental Quality in Saudi Arabia: What Is the Role of Green Innovation?
Abstract
1. Introduction
2. Literature Review
2.1. SCD and GHG Association
2.2. FIG and GHG Association
2.3. GIN and GHG Association
2.4. GDP and GHG Association
2.5. Gaps in the Literature
3. Data and Methods
3.1. Theoretical Framework
3.2. Data
3.3. Methods
4. Analysis and Discussion
4.1. Analysis
4.1.1. Descriptive Statistics
4.1.2. Unit Root Analysis
4.1.3. Bounds Test
4.1.4. ARDL Outcomes
4.1.5. Frequency Domain Causality
4.1.6. Multiple Quantile-on-Quantile (MQQ) Analysis
4.2. Discussion
5. Conclusions, Policy Recommendation, and Future Research Suggestions
5.1. Conclusions
5.2. Policy Recommendations
- The Saudi Arabian government/key players should promote the application of rules that improve the sustainability of the environment in the digitalization of SC networks to lessen the detrimental consequences of this process on GHGs. Encouraging firms to make investments in low-carbon technologies, advocating for more independent CO2 audits, and fostering the development of digital solutions targeted at enhancing energy efficiency and cutting waste throughout the value chain are a few examples. On a national level, it is important to state that the digitalization strategies of Saudi Arabia are rooted in a wider structural transformation agenda under Vision 2030 and the Saudi Green Initiative, which aims to reduce CO2, while maintaining economic competitiveness and energy security. The national strategy clearly combines digital transformation with sustainable goals, which include the adoption of clean energy and achieving the net-zero emissions target by 2060. To achieve this, clean energy should be embraced in data centers, cloud infrastructures, and AI computing clusters. This is possible because Saudi Arabia is rapidly increasing its capacity for renewable energy adoption. To ensure these policies are effective, real-time carbon tracking, AI-based emission monitoring, and digital optimization of carbon capture processes are vital.
- To bring about a meaningful change in the environment, the policymakers in Saudi Arabia should increase the share of green technology in the nation’s technology bundle. It is important to state that a decline in current GIN will probably raise the levels of pollution and jeopardize ecological sustainability. Therefore, an appropriate policy relating to the environment should be initiated and implemented. This can be achieved by providing incentives, such as promoting accessible credit for GIN, which will increase the proportion of green technologies and greatly reduce pollution in the environment.
- Authorities in Saudi Arabia should encourage environmentally friendly financing and ecologically sustainable investments in order to use FIG as a tool to lessen ecological degradation. Ref. [33] argued that Saudi Arabia should embrace liberalization measures in order to support FIG. This calculated action can promote ecological sustainability objectives and stimulate the economy at the same time.
- It has been established that economic growth is one of the major macroeconomic objectives. Therefore, the policymakers in Saudi Arabia must ensure that they find ways to drive economic expansion, while at the same time improving the quality of the environment. This can be achieved through the adoption and use of clean energy sources. Renewable energy replenishes itself, does not harm the environment, and is sustainable. Its use can be promoted through incentives and subsidies. At the same time, the use of unclean energy can be discouraged through carbon pricing.
5.3. Limitations and Future Research Suggestions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| AI | Artificial Intelligence |
| ARDL | Autoregressive Distributed Lag |
| BSQR | Bootstrap Quantile Regression |
| CB–SEM | Covariance-Based Structural Equation Modeling |
| CH4 | Methane Emissions |
| CO2 | Carbon dioxide Emissions |
| CO2e | Carbon dioxide Emissions Equivalent |
| EMT | Ecological Modernization Theory |
| ESG | Environmental, Social, and Governance |
| FDC | Frequency Domain Causality |
| FDI | Foreign Direct Investment |
| GHGs | Greenhouse Gases |
| GTFP | Green Total Factor Productivity |
| GVC | Global Value Chain |
| ICT | Information and Communications Technology |
| IoT | Internet of Things |
| ML | Machine Learning |
| MMQR | Methods of Moments Quantile Regression |
| MQQ | Multiple Quantile-on-Quantile |
| N20 | Nitrous Oxide Emissions |
| PH | Porter’s Hypothesis |
| PHH | Pollution Heaven Hypothesis |
| QQKRLS | Quantile Kernel-Based Regularized Least Squares |
| SC | Supply Chain |
| SCD | Supply Chain Digitalization |
| VAR | Vector Autoregression |
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| Symbols | Variables | Description | Source |
|---|---|---|---|
| GHGs | Greenhouse Gases | Per capita greenhouse gas emissions, including land use | [47] |
| SCD | Supply Chain Digitalization | ICT goods exports (% of total goods exports) | [48] |
| FIG | Financial Globalization | Index | [49] |
| GIN | Green Innovation | Climate change mitigation technologies in the production or processing of goods—measured in patents | [50] |
| GDP | Economic Growth | GDP (constant 2015 US$) | [48] |
| LGHGS | LSCD | LGIN | LFIG | LGDP | |
|---|---|---|---|---|---|
| Mean | 3.222052 | −2.241676 | 2.679645 | 4.082264 | 27.04486 |
| Median | 3.224896 | −2.207275 | 2.484907 | 4.077537 | 27.09489 |
| Maximum | 3.295918 | −0.916291 | 4.343805 | 4.204693 | 27.47939 |
| Minimum | 3.156214 | −3.506558 | 0.693147 | 3.988984 | 26.60568 |
| Std. Dev. | 0.040333 | 0.745323 | 0.892081 | 0.048083 | 0.269689 |
| Skewness | 0.145879 | −0.103683 | −0.033564 | 0.415257 | −0.240549 |
| Kurtosis | 2.187956 | 2.098872 | 2.848721 | 3.262742 | 1.756477 |
| Jarque–Bera | 2.854062 | 3.277624 | 0.105001 | 2.908684 | 6.814922 |
| Probability | 0.240021 | 0.194211 | 0.948854 | 0.233554 | 0.033125 |
| Observations | 92 | 92 | 92 | 92 | 92 |
| ADF | PP | ||||
|---|---|---|---|---|---|
| Variables | I(0) | I(1) | I(0) | I(1) | Decision |
| LGHGs | −2.596259 | −8.003159 * | −3.855225 ** | −9.361173 * | I(1) |
| LSCD | −1.699249 *** | −8.928230 * | −1.678240 *** | −8.927869 * | I(0) |
| LGIN | −2.821063 | −9.329327 * | −3.038318 | −9.329327 * | I(1) |
| LFIG | −2.311795 | −9.384518 * | −2.393671 | −9.384518 * | I(1) |
| LGDP | −2.952589 | −3.061235 ** | −2.661780 | −11.52021 * | I(1) |
| ARDL Bounds Test | ||||
|---|---|---|---|---|
| Test Statistic | Value | Significance | I(0) | I(1) |
| F-statistic | 6.994960 | 10% | 2.2 | 3.09 |
| 5% | 2.56 | 3.49 | ||
| 2.50% | 2.88 | 3.87 | ||
| 1% | 3.29 | 4.37 | ||
| Long-Run Analysis | ||||
|---|---|---|---|---|
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
| LSCD | 0.014074 | 0.007794 | 1.805743 | 0.0751 |
| LFIG | 0.051835 | 0.073209 | 0.708040 | 0.4812 |
| LGIN | −0.009633 | 0.003585 | −2.687092 | 0.0089 |
| LGDP | 0.062900 | 0.019605 | 3.208372 | 0.0020 |
| C | 1.362783 | 0.654547 | 2.082025 | 0.0409 |
| Short-run analysis | ||||
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
| D(LGHGS(−1)) | 0.341117 | 0.100452 | 3.395815 | 0.0011 |
| D(LGHGS(−2)) | 0.340710 | 0.100406 | 3.393317 | 0.0011 |
| D(LGHGS(−3)) | 0.340282 | 0.100364 | 3.390464 | 0.0011 |
| D(LSCD) | 0.030926 | 0.012276 | 2.519153 | 0.0140 |
| D(LFIG) | −0.230778 | 0.109659 | −2.104505 | 0.0388 |
| D(LFIG(−1)) | −0.187115 | 0.104342 | −1.793287 | 0.0771 |
| D(LFIG(−2)) | −0.187566 | 0.104362 | −1.797255 | 0.0765 |
| D(LFIG(−3)) | −0.188040 | 0.104383 | −1.801437 | 0.0758 |
| D(LGIN) | −0.015611 | 0.005431 | −2.874376 | 0.0053 |
| D(LGDP) | 0.230174 | 0.078769 | 2.922121 | 0.0046 |
| CointEq(−1) * | −0.694074 | 0.103600 | −6.699576 | 0.0000 |
| R-squared | 0.798560 | |||
| Durbin–Watson (DW) | 1.773942 | |||
| Residual Diagnostics | F-Stat | p-value | ||
| Normality test | 5.796932 | 0.055108 | ||
| Serial Correlation LM test | 2.121859 | 0.1275 | ||
| Heteroskedasticity Test | 2.041004 | 0.1568 | ||
| Ramsey Reset Test | 0.229117 | 0.6337 |
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Share and Cite
Abu Khazam, M.; Khadem, A.; Alzubi, A.B. A Frequency Domain Causality Approach Towards the Management of Supply Chain Digitalization and Environmental Quality in Saudi Arabia: What Is the Role of Green Innovation? Sustainability 2026, 18, 2527. https://doi.org/10.3390/su18052527
Abu Khazam M, Khadem A, Alzubi AB. A Frequency Domain Causality Approach Towards the Management of Supply Chain Digitalization and Environmental Quality in Saudi Arabia: What Is the Role of Green Innovation? Sustainability. 2026; 18(5):2527. https://doi.org/10.3390/su18052527
Chicago/Turabian StyleAbu Khazam, Mohamed, Amir Khadem, and Ahmad Bassam Alzubi. 2026. "A Frequency Domain Causality Approach Towards the Management of Supply Chain Digitalization and Environmental Quality in Saudi Arabia: What Is the Role of Green Innovation?" Sustainability 18, no. 5: 2527. https://doi.org/10.3390/su18052527
APA StyleAbu Khazam, M., Khadem, A., & Alzubi, A. B. (2026). A Frequency Domain Causality Approach Towards the Management of Supply Chain Digitalization and Environmental Quality in Saudi Arabia: What Is the Role of Green Innovation? Sustainability, 18(5), 2527. https://doi.org/10.3390/su18052527

