Submitted:
31 July 2025
Posted:
01 August 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction

2. Literature Review
Theoretical Background
2.1. Economic Reforms and Traffic Safety Outcomes
2.2. Economic Factors and Their Relationship to Traffic Safety
2.3. Road Quality and Traffic Safety
2.4. Rule of Law and Traffic Safety
2.5. Integrated Approaches to Traffic Safety and Economic Sustainability
2.6. Review of ARDL Applications and the Unique Contribution of This Study
3. Methodology
3.1. Research Design
3.2. Data Sources and Collection
- Traffic Fatality Data: Annual traffic fatality rates (per 100,000 population) measure the number of deaths due to road traffic accidents per 100,000 population annually. obtained from the Saudi General Authority for Statistics, the Ministry of Interior's Traffic Department, and the World Health Organization's Global Status Report on Road Safety.
- Gross Domestic Product per Capita (GDPc): Measured in constant US dollars, this variable serves as a proxy for economic sustainability and captures the overall economic development level of Saudi Arabia. GDPC reflects a nation's capacity to invest in safety infrastructure and implement effective regulations. Data on GDP per capita is sourced from the Saudi Central Bank (SAMA) and the World Bank's World Development Indicators database.
- Foreign Direct Investment (FDI): Measured as net inflows as a percentage of GDP. This variable captures the level of international investment in the Saudi economy, which may influence infrastructure development, technology transfer, and economic diversification. FDI data is collected from the Saudi Ministry of Investment and the World Bank's Foreign Direct Investment database.
- Quality of Road Index: Measured on a scale of 1-7, with higher values indicating better quality road infrastructure. This variable directly assesses the physical condition and quality of the road network, which can significantly impact traffic safety outcomes. Quality of Road Index data is obtained from the Saudi Ministry of Transport and the World Economic Forum's Global Competitiveness Report.
- Rule of Law Index: Measured on a scale of 0-1, with higher values indicating stronger rule of law. This variable controls for the institutional environment that affects the implementation and enforcement of traffic regulations. Data on the rule of law is sourced from the World Bank's Worldwide Governance Indicators. This index captures perceptions of the extent to which agents have confidence in and abide by the rules of society, particularly the quality of contract enforcement, property rights, the police, and the courts.
3.3. Model Specification and Estimation Techniques
- Yt: Dependent variable (traffic fatality rate)
- Xkt: Independent variables (GDP per capita, FDI, road quality, rule of law)
- βk: Long-run coefficients
- α: Constant term
- ut: Error term (should be stationary, i.e., I(0), for cointegration to exist)
- Zt: Vector of all endogenous variables (e.g., [Yt, X1t, X2t, ..., Xkt)
- Π: Long-run impact matrix (rank of Π = number of cointegrating vectors)
- Γi: Short-run adjustment coefficients
- εt: White noise error term.
- ▪
- Δ: First difference operator.
- ▪
- λ: Error correction term (ECT) coefficient, showing speed of adjustment.
- ▪
- The term in parentheses: the lagged residual from the long-run equation (i.e., cointegration residual).
4. Results
4.1. Descriptive Statistics
| Statistic | LnDeaths | LnFDI | LnGDPC | LnQRI | LnRLI |
|---|---|---|---|---|---|
| Mean | 3.075052 | -0.10431 | 0.940273 | -5.05803 | -4.26297 |
| Median | 3.131102 | 0.099015 | 1.178537 | -5.35706 | -2.41416 |
| Maximum | 3.576023 | 2.813411 | 2.396988 | 1.78507 | 3.912023 |
| Minimum | 2.526552 | -4.60517 | -1.27536 | -9.21034 | -11.5129 |
| Std. Dev. | 0.267846 | 1.400106 | 1.030472 | 3.55706 | 3.175621 |
| Skewness | -0.319836 | -0.87726 | -0.68256 | 0.484417 | -0.75207 |
| Kurtosis | 2.788644 | 4.724357 | 2.544709 | 1.234985 | 2.190234 |
| Jarque-Bera | 0.642955 | 8.573286 | 2.933725 | 5.743053 | 2.543856 |
| Probability | 0.725077 | 0.013751 | 0.230648 | 0.056612 | 0.280291 |
| Sum | 104.5518 | -3.54644 | 31.96927 | -171.973 | -144.941 |
| Sum Sq. Dev. | 2.367467 | 64.77388 | 35.65658 | 947.0369 | 745.3782 |
| Observations | 34 | 34 | 34 | 34 | 34 |
4.2. Correlation Test
4.3. Ordinary Least Squares (OLS) Regression Test
4.4. Unit Root test
4.5. VAR Lag Order Selection Criteria
VAR Model Specification
4.6. Cointegration Tests
4.6.1. Canonical Test
4.6.2. Johanson Test
4.6.3. Error Correction Model (ECM) Test
4.6.4. Stability Diagnostics Test of the Model
4.7. Granger Causality Test
- • LnDeaths → LnRLI (F = 4.66336, p = 0.0182): Traffic accident deaths Granger-cause changes in the rule of law index, suggesting that higher fatality rates might lead to stronger governance or regulatory responses in Saudi Arabia. This result suggests reactive institutional strengthening in response to safety crises.
- • LnFDI → LnRLI (F = 5.11219, p = 0.0131): FDI Granger-causes rule of law improvements, possibly reflecting that foreign investment demands legal and institutional reforms to ensure contract enforcement and stability. Furthermore, the result reinforces the idea that external capital can improve institutional quality.
- • LnQRI → LnFDI (F = 3.73340, p = 0.0370): Road quality Granger-causes FDI inflows, indicating that better infrastructure attracts foreign investors, consistent with economic development theory.
- -
- No causality between LnQRI and LnDeaths in either direction.
- -
- No evidence that LnGDPC is Granger-caused by or Granger-causes any of the variables.
- -
- No feedback between LnFDI and LnDeaths, LnRLI, LnGDPC.
- -
- No evidence of mutual or unidirectional prediction between rule of law and road quality, or between GDP per capita and other variables.
5. Discussion
6. Conclusions
Limitations and Future Research Directions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| LnDeaths | LnFDI | LnGDPC | LnQORI | LnRLI | |
|---|---|---|---|---|---|
| LnDeaths | 1 | 0.067187 | 0.100842 | 0.273664 | -0.2618 |
| LnFDI | 1 | 0.46992 | -0.24927 | 0.148983 | |
| LnGDPC | 1 | 0.096845 | 0.246647 | ||
| LnQRI | 1 | 0.340306 | |||
| LnRLI | 1 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| LnRLI | -0.02302 | 0.007848 | -2.93273 | 0.0065 |
| LnQRI | 0.022689 | 0.007523 | 3.015996 | 0.0053 |
| LnGDPC | 0.003589 | 0.034332 | 0.104547 | 0.9175 |
| LnFDI | 0.053072 | 0.033592 | 1.579892 | 0.125 |
| C | 3.254723 | 0.065693 | 49.54447 | 0 |
| Variable | 1% | 5% | 10% | T. Stat | p-value | 1% | 5% | 10% | T. Stat | p-value |
|---|---|---|---|---|---|---|---|---|---|---|
| LNROL | -3.65 | -2.96 | -2.62 | -1.90 | 0.33 | -3.65 | -2.96 | -2.62 | -20.29 | 0.00 |
| LNQRI | -3.65 | -2.96 | -2.62 | -1.44 | 0.55 | -3.65 | -2.96 | -2.62 | -5.48 | 0.00 |
| LNGDPC | -3.65 | -2.95 | -2.62 | -4.66 | 0.00 | |||||
| LNTAD | -3.65 | -2.95 | -2.62 | -1.71 | 0.42 | -3.65 | -2.96 | -2.62 | -5.37 | 0.00 |
| LNFDI | -3.65 | -2.95 | -2.62 | -6.11 | 0.00 |
| Lag | LogL | LR | FPE | AIC | SC | HQ |
|---|---|---|---|---|---|---|
| 0 | -277.293 | NA | 31.62751 | 17.64331 | 17.87233 | 17.71922 |
| 1 | -223.7047 | 87.08095 | 5.417348 | 15.85654 | 17.23067 | 16.31203 |
| 2 | -180.0565 | 57.28819* | 1.910829* | 14.69103* | 17.21027* | 15.52609* |
| Lag | LRE* stat | df | Prob. (Chi-sq) | Rao F-stat | df (F-stat) | Prob. (F-stat) |
|---|---|---|---|---|---|---|
| 1 | 24.54344 | 25 | 0.4882 | 0.979666 | (25, 46.1) | 0.5092 |
| 2 | 20.65649 | 25 | 0.7116 | 0.795397 | (25, 46.1) | 0.7271 |
| 3 | 28.95533 | 25 | 0.2658 | 1.204461 | (25, 46.1) | 0.286 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| LnFDI | 0.032872 | 0.05707 | 0.575991 | 0.5692 |
| LnGDPC | 0.051771 | 0.057265 | 0.90407 | 0.3737 |
| LnQORI | 0.027151 | 0.010389 | 2.613463 | 0.0143 |
| LnROLI | -0.040965 | 0.014084 | -2.90867 | 0.0070 |
| C | 2.983615 | 0.099491 | 29.98876 | 0.0000 |
| Hypothesized No. of CE(s) | Eigenvalue | Max-Eigen Statistic | 0.05 Critical Value | Prob. |
|---|---|---|---|---|
| None * | 0.848322 | 60.3518 | 33.87687 | 0.000 |
| At most 1 * | 0.671511 | 35.62407 | 27.58434 | 0.0038 |
| At most 2 * | 0.496497 | 21.9573 | 21.13162 | 0.0382 |
| At most 3 | 0.115121 | 3.913735 | 14.2646 | 0.8683 |
| At most 4 | 0.081338 | 2.714787 | 3.841465 | 0.0994 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| D(LnROL) | -0.00742 | 0.005948 | -1.24678 | 0.2228 |
| D(LnQRI) | 0.017016 | 0.010893 | 1.562138 | 0.1295 |
| D(LnGDPC) | -0.00083 | 0.021505 | -0.03834 | 0.9697 |
| D(LnFDI) | 0.03118 | 0.017543 | 1.777346 | 0.0864 |
| ECT(-1) | -0.41291 | 0.190145 | -2.17157 | 0.0385 |
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
|---|---|---|---|---|
| D(LnTAD(-1)) | 0.45829 | 0.237099 | 1.932906 | 0.0772 |
| D(LnTAD(-2)) | 0.681012 | 0.313445 | 2.172672 | 0.0506 |
| D(LnROL) | 0.0014 | 0.01674 | 0.083618 | 0.9347 |
| D(LnROL(-1)) | 0.050079 | 0.024169 | 2.07206 | 0.0605 |
| D(LnROL(-2)) | 0.083678 | 0.023628 | 3.545298 | 0.004 |
| D(LnROL(-3)) | 0.051114 | 0.011758 | 4.347105 | 0.0004 |
| D(LnQRI) | 0.018158 | 0.009977 | 1.819907 | 0.0938 |
| D(LnQRI(-1)) | -0.03025 | 0.008436 | -3.58609 | 0.0017 |
| D(LNFDI) | 0.048842 | 0.020655 | 2.364724 | 0.0357 |
| D(LNFDI(-1)) | -0.1107 | 0.040228 | -2.75174 | 0.0155 |
| D(LNFDI(-2)) | -0.1104 | 0.041647 | -2.65074 | 0.0211 |
| D(LNFDI(-3)) | -0.09603 | 0.024746 | -3.88061 | 0.0022 |
| CoinEq(-1) | -0.55375 | 0.137241 | -4.03489 | 0.0007 |
| Statistic | Value | df | Probability |
|---|---|---|---|
| t-statistic | 0.168822 | 11 | 0.869 |
| F-statistic | 0.028501 | (1, 11) | 0.869 |
| Likelihood ratio | 0.077629 | 1 | 0.7805 |
| Null Hypothesis | Observations | F-Statistic | Prob. |
|---|---|---|---|
| LnRLI does not Granger-cause LnDeaths | 32 | 0.14368 | 0.8668 |
| LnDeaths does not Granger-cause LnRLI | 32 | 4.66336 | 0.0182 |
| LnQRI does not Granger Cause LnDeaths | 32 | 0.13168 | 0.8772 |
| LnDeaths does not Granger-cause LnQRI | 32 | 1.61139 | 0.2182 |
| LnGDPC does not Granger-cause LnDeaths | 32 | 0.41122 | 0.6669 |
| LnDeaths does not Granger-Cause LnGDPC | 32 | 0.08116 | 0.9223 |
| LnFDI does not Granger-cause LnDeaths | 32 | 0.16586 | 0.848 |
| LnDeaths does not Granger-cause LnFDI | 32 | 2.64801 | 0.0891 |
| LnQRI does not Granger-cause LnRLI | 32 | 0.00251 | 0.9975 |
| LnRLI does not Granger-cause LnQRI | 32 | 0.60458 | 0.5535 |
| LnGDPC does not Granger-cause LnRLI | 32 | 2.6866 | 0.0863 |
| LnRLI does not Granger-cause LnGDPC | 32 | 0.10176 | 0.9036 |
| LnFDI does not Granger-cause LnRLI | 32 | 5.11219 | 0.0131 |
| LnRLI does not Granger-cause LnFDI | 32 | 1.03271 | 0.3697 |
| LnQRI does not Granger-cause LnGDPC | 32 | 0.23094 | 0.7953 |
| LnGDPC does not Granger-cause LnQRI | 32 | 0.70455 | 0.5032 |
| LnFDI does not Granger-cause LnQRI | 32 | 0.08352 | 0.9201 |
| LnQRI does not Granger-cause LnFDI | 32 | 3.7334 | 0.037 |
| LnFDI does not Granger-cause LnGDPC | 32 | 1.92474 | 0.1654 |
| LnGDPC does not Granger-cause LnFDI | 32 | 0.53352 | 0.5926 |
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