Submitted:
12 May 2026
Posted:
13 May 2026
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Abstract
Keywords:
1. Introduction
2. Literature Review
3. Methodology
3.1. The Study Area
3.2. Variables
3.3. Spatial Autocorrelation Test
3.4. Econometric Models Specification
- is the dependent variable;
- – the regressor variables (ln(ROADD), ln(HWAYD) etc.);
- - the model coefficients;
- - the error;
- – the region number;
- the time period (year);
- – the regressor number.
- are the elements of the spatial weight matrix W;
- is the parameter that quantifies spatial dependence.
- if , there are positive spillovers (advanced regions positively influence their neighbors);
- if , negative spatial dependence arises (spatial divergence);
- if , the model reduces to a standard regression without spatial effects.
- if , there is positive spatial correlation in the errors (similar shocks across adjacent regions);
- if , negative spatial correlation;
- if , no spatial dependence and the model reduces to ordinary regression.
- spatial lag of the dependent variable , capturing how outcomes in neighboring regions affect region , where measures the strength of spatial dependence (similar to SAR);
- the standard regressors , where coefficients reveal direct effects of local explanatory variables;
- spatial lags of the explanatory variables , with coefficients getting the spillover effects from neighboring regions’ characteristics.
4. Results
4.1. Data Descriptive Analysis
4.2. Global Moran’s I Index
4.3. Collinearity, Variable Selection and Ordinary Regression Testing
4.4. Spatial Econometric Models and Spillover Effects
5. Discussion
5.1. Model Selection
5.2. Economic Growth Drivers
5.3. Research Hypothesis Testing
- H1 (direct effects of infrastructure) is not supported. Once two-way fixed effects and spatial dependence are accounted for, transport infrastructure variables do not exhibit statistically significant effects on GDPPC. This suggests that transport infrastructure alone does not constitute a primary driver of regional growth in the Romanian context.
- H2 (existence of spatial spillovers) is supported. The positive and significant spatial autoregressive coefficient confirms that regional economies are interdependent. However, the decomposition of effects indicates that these spillovers are driven predominantly by economic factors (LABOR and PCAPIT), rather than by transport infrastructure (ROADD and HWAYD). This points to a diffusion mechanism based on economic activity rather than physical connectivity alone.
- H3 (spillovers reduce regional disparities) receives limited support. Although spatial dependence is present, its sources do not indicate a convergence process driven by transport infrastructure. Instead, spillovers appear to reinforce existing economic structures, suggesting that transport infrastructure dynamic does not automatically translate into balanced regional development.
5.4. Policy Implications
5.5. Limitations and Future Research
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Variable Name | Description | Role in the Model |
|---|---|---|
| GDPPC | Regional GDP per capita [EUR] |
Dependent variable capturing the level of regional economic performance. It reflects both productivity and income effects and serves as the main outcome influenced by infrastructure and spillover mechanisms. |
| ROADD | Road density [km / 100 km2] |
Core infrastructure variable representing the spreading of road transport networks. It depicts direct effects on regional growth through enhanced mobility of goods. It still represents the major road transport infrastructure. |
| HWAYD | Highway density [km / 1000 km2] |
Key infrastructure variable representing the availability of highway networks. It captures direct effects on regional growth through reduced transport costs and improved mobility of goods and people across national and international territory and represents the backbone for connecting to the European TEN-T network. |
| RAILD | Rail density [km / 1000 km2] |
Complementary infrastructure variable reflecting rail-based connectivity. Its effect captures alternative transport channels, particularly relevant for freight and long-distance mobility, though expected to be heterogeneous across regions. |
| PCAPIT | Private gross fixed capital formation [106 EUR] |
Private production factor control, capturing physical capital accumulation. It controls for regional investment dynamics that directly influence output and productivity. It is a major driver of development, trade flows and level of life increasing. |
| LABOR | Total regional employment | Labor input variable, representing the scale of economic activity. It accounts for differences in workforce size and supports a production-function interpretation of the model. |
| R&D | Research and development expenditure [106 EUR] |
Innovation and knowledge variable, capturing technological progress and long-term growth potential. It may also generate spatial knowledge spillovers across regions. |
| URB | Share of urban population in total population | Agglomeration proxy, capturing urban concentration effects such as economies of scale, knowledge spillovers, and labor market pooling. |
| Variable | Mean | Standard deviation |
Median | Min | Max | Skewness |
|---|---|---|---|---|---|---|
| GDPPC | 8014 | 7230 | 5960 | 1078 | 48,604 | 2.71 |
| ROADD | 51 | 43.1 | 36.2 | 30.7 | 178 | 2.27 |
| HWAYD | 4.52 | 8.16 | 1.52 | 0 | 57.1 | 3.10 |
| RAILD | 59.3 | 36.5 | 44.9 | 37.5 | 155 | 2.14 |
| PCAPIT | 1532 | 1745 | 970 | 185 | 12,450 | 3.45 |
| LABOR | 1015 | 161 | 947 | 785 | 1420 | 0.638 |
| R&D | 112 | 211 | 48.2 | 5.4 | 1495 | 4.23 |
| URB | 0.563 | 0.148 | 0.538 | 0.402 | 0.918 | 1.25 |
| Variable | VIF |
|---|---|
| ROADD | 10.63 |
| HWAYD | 4.59 |
| RAILD | 42.92 |
| PCAPIT | 26.82 |
| LABOR | 2.26 |
| R&D | 30.12 |
| URB | 22.30 |
| Variable | OLS | Fixed effects | Two-way fixed effects |
|---|---|---|---|
| ROADD | 6.435*** | 0.117*** | 0.040 |
| HWAYD | 0.128*** | - 0.032* | - 0.008 |
| LABOR | - 1.336*** | - 0.668*** | 0.508*** |
| PCAPIT | 0.771*** | 0.692*** | 0.104** |
| Adjusted R2 | 0.952 | 0.956 | 0.557 |
| Model specification | LM Statistic | p-value |
|---|---|---|
| Rook-contiguity | 5.101 | 0.024 |
| KNN | 3.210 | 0.073 |
| Test | Statistic | p-value | Interpretation |
|---|---|---|---|
| LM-Lag | 217.67 | < 0.001 | Strong spatial lag dependence |
| LM-Error | 204.75 | < 0.001 | Strong |
| Robust LM-Lag | 18.024 | < 0.001 | Lag dependence remains significant |
| Robust LM-Error | 5.101 | 0.024 | Weak but significant error dependence |
| Variable | Coefficient |
|---|---|
| ROADD | 0.047 |
| HWAYD | - 0.006 |
| PCAPIT | 0.095* |
| LABOR | 0.496*** |
| λ | 0.185* |
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