Submitted:
17 June 2025
Posted:
20 June 2025
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Abstract
Keywords:
1. Introduction
2. Literature Review
2.1. Energy–Economy Nexus and Fossil Fuel Demand
2.2. ARDL and Dynamic Modelling Approaches
2.3. Fuel Substitution and Energy Mix Dynamics
2.4. Contribution and Gaps Addressed
- It provides a region-wide ARDL model of gas consumption for the European Union, capturing aggregate behaviour rather than country-level effects.
- It explicitly includes liquid and solid fuel consumption as explanatory variables, testing for cross-fuel dynamics and substitution patterns.
- It employs both short-run and long-run diagnostics, including error correction modelling, to assess structural versus cyclical drivers of gas demand.
3. Methodology
3.1. Model Specification
- –
- is the consumption of natural gas in year t,
- –
- per capita,
- –
- represent liquid and solid fuel consumption, respectively.
3.2. Unit Rot and Integration Testing
3.3. Bounds Test for Cointegration
3.4. Error Correction Model (ECM)
3.5. Robustness Checks
4. Results
| Variable | Test Statistic | p-value | Critical Value (1%) | Critical Value (5%) | Critical Value (10%) | Stationary | ||||||
| Energy_Gas_EU | -1.73246 | 0.414468 | -3.66143 | -2.96053 | -2.61932 | False | ||||||
| GDP_per_EU | -0.86658 | 0.798779 | -3.66143 | -2.96053 | -2.61932 | False | ||||||
| Energy_Liquid_EU | 0.102067 | 0.966202 | -3.66143 | -2.96053 | -2.61932 | False | ||||||
| Energy_Solid_EU | -0.40646 | 0.909014 | -3.67906 | -2.96788 | -2.62316 | False |
| Variable | Test Statistic | p-value | Critical Value (1%) | Critical Value (5%) | Critical Value (10%) | Stationary | |||||||
| d_Energy_Gas_EU | -6.09467 | 1.02E-07 | -3.66992 | -2.96407 | -2.62117 | True | |||||||
| d_GDP_per_EU | -6.1062 | 9.57E-08 | -3.66992 | -2.96407 | -2.62117 | True | |||||||
| d_Energy_Liquid_EU | -2.38484 | 0.14606 | -3.67906 | -2.96788 | -2.62316 | False | |||||||
| d_Energy_Solid_EU | -5.23693 | 7.39E-06 | -3.67906 | -2.96788 | -2.62316 | True |
- -
- Persistence is evident, with a significant lagged gas term (coef. = 0.259, p = 0.038).
- -
- GDP per capita exerts a delayed influence, with only the second lag being significant (coef. = 11.47, p = 0.002).
- -
- Liquid fuel use is immediately impactful (coef. = 0.517, p < 0.001), suggesting complementarities or shared macroeconomic drivers.


- -
- A 1% increase in liquid fuel use leads to ~0.86% increase in gas use (p < 0.001).
- -
- Solid fuel exhibits delayed adverse effects, consistent with trends in fuel substitution.
- -
- GDP remains economically relevant, although statistically weak in the short run.


5. Discussion
6. Policy Implication
- -
- Coordinated Transition Planning. The positive and significant association between liquid fuel and gas consumption suggests a high degree of demand co-movement. This complementarity implies that policies aimed at reducing petroleum dependencies, such as vehicle electrification or decarbonisation of the transport sector, will also impact gas demand, either directly or through substitution pressures. The EU must develop integrated strategies across fuels, ensuring that reductions in one domain (e.g., oil) do not produce unintended shortages or volatility in another (e.g., gas).
- -
- Fuel Substitution and Coal Phase-Out. The observed delayed adverse effect of solid fuel use on gas consumption supports the interpretation of gas as a transitional fuel in Europe’s decarbonisation pathway. However, this substitution is neither immediate nor universal. Governments must strengthen policy incentives and infrastructure investment to accelerate substitution away from coal, particularly in lagging regions, while managing the medium-term dependence on gas with care.
- -
- Economic Sensitivity and Forecasting. The lagged impact of GDP on gas consumption highlights the importance of forward-looking economic indicators in energy demand forecasting. Moreover, the absence of significant short-run effects suggests that gas demand is relatively insulated from transient macroeconomic volatility. That is why policymakers must use macroeconomic leading indicators (e.g., industrial orders, investment trends) for proactive energy planning rather than relying solely on contemporaneous GDP signals.
- -
- Infrastructure and Market Responsiveness. The high magnitude of the error correction term (−0.77) implies that the EU gas system adjusts rapidly to equilibrium shocks. This responsiveness likely reflects the maturity of EU market liberalisation and physical infrastructure (e.g., LNG terminals, interconnectors, and storage). Policy recommendation in this case is - preserve and enhance the flexibility of the gas grid as the system evolves, ensuring interoperability with green gases (hydrogen, biogas) and demand-side management.
7. Conclusions
Author Contributions
Funding
References
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| Variable | Lag | Coefficient | p-value |
| Energy_Gas_EU (L1) | 1 | 0.259 | 0.038 |
| GDP_per_EU (L2) | 2 | 11.47 | 0.002 |
| Energy_Liquid_EU (L0) | 0 | 0.517 | <0.001 |
| Variable | Coefficient | Std. Error | t-Statistic |
|---|---|---|---|
| ECT (Error Correction Term) | –0.741** | 0.144 | –5.135 |
| Δ(GDP_per_EU, lag 2) | 12.473** | 3.112 | 4.008 |
| Δ(Energy_Liquid_EU) | 0.607** | 0.111 | 5.470 |
| Δ(Energy_Gas_EU, lag 1) | 0.310* | 0.134 | 2.309 |
| Constant | 101.8* | 43.52 | 2.339 |
| Variable | Coefficient | Std. Error | t-Statistic |
|---|---|---|---|
| ln(GDP_per_EU) | 1.749*** | 0.388 | 4.51 |
| ln(Energy_Liquid_EU) | 0.412*** | 0.097 | 4.25 |
| ln(Energy_Solid_EU) | –0.108* | 0.053 | –2.04 |
| Constant | –3.126* | 1.421 | –2.20 |
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