Traffic-Management Screening with Urban Buses as Probe Vehicles: MRV, Mixed-Effects Evidence and EF 3.1 Scenarios from a 2024 Metropolitan Fleet
Highlights
- MRV + mixed-effects modelling on a 2024 metropolitan fleet showed that BEV and HEV were associated with lower real-world energy intensity than diesel (−72.8% and −31.9%), whereas the CNG–diesel contrast was directionally higher but statistically inconclusive under the available CNG sample.
- Seasonality and vehicle-level heterogeneity are important: BEV energy intensity more than doubles in winter, and vehicle-level heterogeneity remains high (ICC ≈ 0.61).
- Routine fleet data can provide auditable KPIs (MJ/km, EF 3.1 WTW) for monitoring and benchmarking public-transport energy performance in a smart city context.
- An illustrative traffic-management screening using assumed 3–10% reductions in E/km shows the possible order of magnitude of WTW impact reductions; it should not be read as a causal evaluation of specific ITS interventions.
Abstract
1. Introduction
1.1. Buses in Smart Urban Mobility: Environmental, Health, and Operational Relevance as Monitoring Targets
1.2. MRV Based on Operational Data: From Monitoring to Benchmarking and Screening of Traffic-Management Measures
1.3. Research Gap and Study Objectives
- H1: Propulsion technology is significantly associated with bus energy intensity (MJ/km) in urban areas.
- H2: There is a seasonal energy-use penalty, which is strongest for BEV buses in winter months.
- H3: After accounting for season and activity level, substantial between-vehicle heterogeneity remains (random vehicle effect), supporting the vehicle-level MRV.
- H4: The WTW results for BEV are sensitive to the electricity mix assumption; as the grid decarbonizes, climate advantages increase, whereas trade-offs may occur in some EF categories.
- AQ1: Under the adopted WTW boundary, what order of magnitude of environmental benefits is associated with the assumed 3%, 5%, and 10% reductions in E/km in an illustrative traffic-management screening exercise?
1.4. Contributions of the Study
2. Materials and Methods
2.1. Case Study, Operational Context, and Bus Fleet Description
2.2. Data Preparation and Indicator Construction
2.3. Temporal Aggregation and Seasonality
2.4. Statistical Analysis (Linear Mixed-Effects Model)
2.5. Environmental Impact Assessment Using Environmental Footprint
- WTT: Background processes for producing and delivering one unit of the energy carrier (1 L diesel, 1 m3 CNG, and 1 kWh electricity). For electricity, a forecast of Poland’s electricity mix by 2050 was adopted under national energy policy assumptions. The mix variants were modelled as weighted sums of generation technologies (shares in the mix), yielding distinct WTT impact profiles per 1 kWh for each year.
- TTW: Tailpipe emissions during combustion (diesel, CNG) and hybrid bus use. TTW emissions were assigned using EURO emission standards (e.g., EURO V/EEV and EURO VI) in line with the EU road-transport emission inventory guidance (COPERT/EMEP-EEA approach) [26]. This is a macroscopic average-speed formulation suitable for fleet-level screening, but it does not capture second-by-second acceleration, idling, regenerative braking, or instantaneous emission peaks in stop-and-go urban service, especially for HEV and CNG buses. For BEV, zero tailpipe emissions were assumed; the impacts arising from electricity generation (WTT) depended on the mix variant.
- EF 3.1 LCIA: converting elementary flows into impact categories
3. Results
3.1. Energy-Use Intensity by Propulsion Technology
3.2. Seasonality
3.3. Mixed-Effects Model: Fixed Effects, Random Effects, and LRT
3.4. Post hoc Comparisons: Pairwise Technology Differences
3.5. Selected EF 3.1 Impact Categories Under WTW
3.6. Illustrative Traffic-Management Screening Analysis
4. Discussion
4.1. Technological Differences in MJ/km and Their Interpretation
4.2. Seasonality and Winter Penalty, Particularly for BEV
4.3. Between-Vehicle Heterogeneity and the Role of MRV
4.4. WTW EF 3.1 Results: Electricity Mix and Multi-Criteria Trade-Offs
4.5. Traffic-Management Relevance and the Role of MRV Indicators
4.6. Limitations and Directions for Future Research
5. Conclusions
- Propulsion technology is significantly associated with energy-use intensity. Relative to diesel (ON), clearly lower MJ/km was estimated for BEV (ratio 0.272) and HEV (ratio 0.681), indicating that electrification and hybridization are associated with higher operational energy efficiency in urban services. The CNG point estimate was higher than diesel, but the result was not statistically conclusive; it should not be read as evidence of equivalence or as a demonstrated energy-efficiency disadvantage under the available small CNG sample.
- Seasonality is critical for operational planning, especially for BEV. The descriptive BEV median more than doubled in winter compared with summer, so range planning, charging strategies, and cross-technology comparisons should explicitly account for heating and thermal-management demand. The annual BEV advantage should be interpreted in the climatic and operational context of the 2024 Polish metropolitan fleet.
- A large share of MJ/km variability was vehicle-specific (high ICC), even after accounting for technology, season, and activity level within the available MRV dataset. This supports MRV at the vehicle level and can help distinguish positive and negative performance anomalies for further investigation; however, monthly totals alone cannot identify whether a deviation is technical, operational, or behavioural. CAN-bus/AVL, passenger-load, and maintenance data are needed for root-cause diagnosis.
- In the WTW assessment (EF 3.1), BEV shows a favourable climate profile within the adopted operational WTW boundary, and the advantage increases with electricity-mix decarbonization. However, the boundary excludes vehicle manufacturing, batteries, charging infrastructure, depot infrastructure, and maintenance, and the multi-criteria results indicate potential trade-offs (e.g., ionizing radiation and water use) that depend on the generation technologies represented in the mix.
- The illustrative traffic-management scenarios showed that if E/km were reduced by 3–10%, proportional reductions in WTW impacts would follow within the adopted system boundary. These are screening assumptions, not empirically measured ITS effects. In practice, the magnitude of such benefits depends on corridor characteristics, seasonality, propulsion technology, passenger load, traffic state, and the share of auxiliary consumption in BEV. Further research should link MRV with trajectory and traffic-dynamics data, apply before–after or quasi-experimental ITS evaluation, and extend the environmental assessment to full vehicle and infrastructure life cycles.
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| BEV | Battery-Electric Vehicle |
| HEV | Hybrid Electric Vehicle |
| CNG | Compressed Natural Gas |
| ON | Olej napędowy (diesel) |
| WTW | Well-to-Wheel |
| WTT | Well-to-Tank |
| TTW | Tank-to-Wheel |
| EF | Environmental Footprint |
| LCA | Life-Cycle Assessment |
| MRV | Monitoring, Reporting and Verification |
Appendix A
| Bus Make and Model | Powertrain Technology | Emission Standard | Year of Manufacture | Number of Buses | Avg. Annual Mileage in 2024 [km] | Avg. Cumulative Mileage (eof. 2024) [km] |
|---|---|---|---|---|---|---|
| Solaris Urbino 18 | ON | Euro V EEV | 2010 | 14 | 36,666 | 979,370 |
| Mercedes-Benz O530G Citaro | ON | Euro V EEV | 2011 | 14 | 59,677 | 936,514 |
| Solaris Urbino 18 | ON | Euro V EEV | 2012 | 15 | 68,765 | 994,336 |
| Solaris Urbino 12 | ON | Euro V EEV | 2013 | 8 | 71,540 | 997,798 |
| Solaris Urbino 15 | ON | Euro V EEV | 2013 | 10 | 68,240 | 927,828 |
| Solaris Urbino 15 | ON | Euro VI | 2014 | 2 | 84,033 | 888,285 |
| Solaris Urbino 12 | ON | Euro VI | 2015 | 5 | 71,013 | 768,814 |
| Solaris Urbino 18 | ON | Euro VI | 2015 | 15 | 77,490 | 743,091 |
| Solaris Urbino 12 | ON | Euro VI | 2016 | 14 | 73,221 | 738,891 |
| Solaris Urbino 18 | ON | Euro VI | 2016 | 15 | 82,909 | 695,711 |
| MAN A21 | ON | Euro VI | 2017 | 20 | 69,933 | 604,675 |
| MAN A23 | ON | Euro VI | 2017 | 5 | 69,004 | 570,602 |
| MAN A21 | ON | Euro VI | 2018 | 15 | 77,971 | 611,179 |
| Solaris Urbino 18 Electric | BEV | zero-emission | 2018 | 1 | 30,626 | 174,289 |
| Solaris Urbino 12 | ON | Euro VI | 2019 | 25 | 72,979 | 484,335 |
| Solaris Urbino 18 Electric | BEV | zero-emission | 2019 | 4 | 39,756 | 234,445 |
| Solaris Urbino 12 Electric | BEV | zero-emission | 2020 | 5 | 43,778 | 264,753 |
| Solaris Urbino 12 Electric | BEV | zero-emission | 2021 | 5 | 52,631 | 220,431 |
| Solaris Urbino 18 Electric | BEV | zero-emission | 2021 | 5 | 64,813 | 217,255 |
| MAN A21 | ON | Euro VI | 2022 | 5 | 172,159 | 483,124 |
| Solaris Urbino 18 | ON | Euro VI | 2022 | 5 | 80,555 | 259,984 |
| MAN Lion’s City 12 G CNG | CNG | Euro VI | 2023 | 8 | 74,441 | 98,743 |
| Solaris Urbino 12 Electric | BEV | zero-emission | 2023 | 8 | 70,836 | 81,136 |
| Volvo 7900 12 | HEV | Euro VI | 2023 | 17 | 96,494 | 151,906 |
| Volvo 7900 18 | HEV | Euro VI | 2023 | 5 | 72,551 | 123,478 |
| Powertrain Technology | ON | HEV | BEV | CNG |
|---|---|---|---|---|
| Number of buses | 188 | 22 | 28 | 8 |
| Input dataset (observed bus-day) | 52,416 | 6975 | 7833 | 2166 |
| Data formatting inconsistency | 5 | 0 | 2 | 0 |
| Empty data records (bus_id, date, km, MJ) | 13 | 4 | 3 | 2 |
| Records with non-zero mileage and zero energy consumption | 4 | 2 | 0 | 0 |
| Records with zero mileage and non-zero energy consumption | 7 | 3 | 0 | 0 |
| Extremely high energy consumption (>1.5 × technology-specific P99 of daily energy use) | 23 | 0 | 0 | 0 |
| Extremely high mileage (>2.0 × technology-specific P99 of daily mileage) | 3 | 1 | 0 | 0 |
| Mileage < 10 km or non-passenger service | 6 | 5 | 3 | 2 |
| Final sample (observed bus-days) | 52,355 | 6960 | 7825 | 2162 |
| Comparison | Variable | Estimate | SE | CI95_Low | CI95_High | p_Value |
|---|---|---|---|---|---|---|
| BEV vs. ON | Within-bus | −0.054 | 0.013 | −0.078 | −0.029 | 0.000019 |
| BEV vs. ON | Between-bus | −0.381 | 0.047 | −0.473 | −0.288 | 5.49 × 10−16 |
| HEV vs. ON | Within-bus | −0.051 | 0.004 | −0.058 | −0.044 | 2.32 × 10−43 |
| HEV vs. ON | Between-bus | −0.323 | 0.039 | −0.400 | −0.246 | 2.04 × 10−16 |
| CNG vs. ON | Within-bus | −0.057 | 0.004 | −0.064 | −0.049 | 9.41 × 10−48 |
| CNG vs. ON | Between-bus | −0.313 | 0.041 | −0.392 | −0.233 | 1.33 × 10−14 |
| Comparison | Main Model Ratio | Median Ratio (500 Resamples) | 2.5th Percentile | 97.5th Percentile | % of Runs with Ratio < 1 | % of Runs with p < 0.05 |
|---|---|---|---|---|---|---|
| BEV vs. ON | 0.274 | 0.272 | 0.254 | 0.289 | 100.0 | 100.0 |
| HEV vs. ON | 0.670 | 0.670 | 0.623 | 0.726 | 100.0 | 100.0 |
| CNG vs. ON | 1.126 | 1.145 | 1.009 | 1.293 | 1.6 | 50.2 |
| Carrier/Unit | Climate Change | Particulate Matter | Ionizing Radiation | Photochemical Ozone Formation | Resource Use, Fossils | Water Use |
|---|---|---|---|---|---|---|
| CNG EURO6 (m3) | 2.00 | 9.93 × 10−9 | 2.34 × 10−3 | 4.04 × 10−3 | 34.76 | 1.55 × 10−2 |
| ON EURO5 EEV (L) | 3.90 | 4.59 × 10−8 | 1.82 × 10−2 | 1.23 × 10−2 | 49.96 | 4.59 × 10−2 |
| ON EURO6 (L) | 3.17 | 3.02 × 10−8 | 1.48 × 10−2 | 7.43 × 10−3 | 40.53 | 3.75 × 10−2 |
| HEV EURO6 (L eq.) | 3.57 | 3.69 × 10−8 | 1.66 × 10−2 | 8.84 × 10−3 | 45.61 | 4.06 × 10−2 |
| BEV 2024 (kWh) | 0.646 | 5.76 × 10−9 | 4.12 × 10−3 | 1.39 × 10−3 | 7.28 | 6.25 × 10−2 |
| BEV 2030 (kWh) | 0.358 | 4.51 × 10−9 | 4.88 × 10−3 | 8.18 × 10−4 | 4.26 | 4.54 × 10−2 |
| BEV 2040 (kWh) | 0.087 | 3.36 × 10−9 | 1.11 × 10−1 | 2.84 × 10−4 | 3.26 | 2.20 × 10−2 |
| BEV 2050 (kWh) | 0.045 | 3.40 × 10−9 | 1.32 × 10−1 | 2.14 × 10−4 | 3.16 | 1.65 × 10−2 |
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| Technology | Number of Buses | Observed Bus-Days | Median Distance (km/Bus-Month) | Total km in 2024 |
|---|---|---|---|---|
| ON | 188 | 52,355 | 11,489.50 | 13,513,603.19 |
| HEV | 22 | 6960 | 7582.13 | 1,980,482.83 |
| BEV | 28 | 7825 | 4858.90 | 1,544,325.62 |
| CNG | 8 | 2162 | 7163.99 | 586,297.05 |
| Technology | Consumption Unit (Input) | MJ Conversion Factor (MJ/Unit) | Output (MJ/km) |
|---|---|---|---|
| Diesel (ON) | L/km | 35.9 MJ/L | (L/km) × 35.9 |
| CNG | m3/km | 36.0 MJ/m3 | (m3/km) × 36.0 |
| Electricity | kWh/km | 3.6 MJ/kWh | (kWh/km) × 3.6 |
| Energy/Fuels | 2024 | 2030 | 2040 | 2050 | ||||
|---|---|---|---|---|---|---|---|---|
| (TWh) | (%) | (TWh) | (%) | (TWh) | (%) | (TWh) | (%) | |
| Fossil | 118.5 | 70.0% | 75.5 | 40.4% | 14.9 | 5.4% | 39.6 * | 11.6% |
| Nuclear | 0.0 | 0.0% | 0.0 | 0.0% | 58.1 | 21.2% | 85.5 | 25.0% |
| RES | 50.8 | 30.0% | 111.6 | 59.6% | 201.9 | 73.4% | 216.5 | 63.4% |
| Total | 169.3 | 100% | 187.1 | 100% | 274.9 | 100% | 341.6 | 100% |
| Technology | Bus-Month | Mean | Median | IQR (Q1–Q3) | P0.5–P99.5 | Min–Max |
|---|---|---|---|---|---|---|
| ON | 2241 | 17.31 | 17.21 | 14.32–20.28 | 9.94–24.57 | 9.94–24.51 |
| HEV | 264 | 11.20 | 10.60 | 10–12.12 | 8.92–17.47 | 9.01–17.28 |
| BEV | 332 | 5.39 | 5.24 | 3.48–7.39 | 0.61–13.5 | 0.67–13.29 |
| CNG | 80 | 18.74 | 18.63 | 17.45–19.79 | 15.03–30.03 | 15.05–27.38 |
| Season | ON | HEV | BEV | CNG |
|---|---|---|---|---|
| Winter | 17.21 (14.56–20.40) | 11.56 (10.81–12.49) | 8.27 (6.41–9.86) | 19.62 (18.47–21.93) |
| Spring | 17.13 (14.01–20.10) | 10.16 (9.78–11.24) | 4.52 (2.85–5.91) | 18.03 (17.07–19.11) |
| Summer | 17.28 (14.30–20.57) | 10.33 (9.91–11.00) | 3.67 (1.90–4.48) | 18.78 (17.71–20.35) |
| Autumn | 17.34 (14.40–20.27) | 10.51 (10.03–12.17) | 5.23 (4.38–7.48) | 18.36 (17.48–19.22) |
| (A) | |||||
| Variable | Estimate | SE | CI95_Low | CI95_High | p_Value |
| Intercept | 3.9022 | 0.0928 | 3.7203 | 4.0841 | <0.001 |
| Technology: CNG vs. ON | 0.1392 | 0.0772 | −0.0122 | 0.2906 | 0.072 |
| Technology: BEV vs. ON | −1.3032 | 0.0432 | −1.3879 | −1.2185 | <0.001 |
| Technology: HEV vs. ON | −0.3844 | 0.048 | −0.4785 | −0.2903 | <0.001 |
| Season: Winter vs. Autumn | 0.0594 | 0.0088 | 0.0422 | 0.0766 | <0.001 |
| Season: Spring vs. Autumn | −0.0582 | 0.0087 | −0.0752 | −0.0411 | <0.001 |
| Season: Summer vs. Autumn | −0.0671 | 0.0088 | −0.0842 | −0.0499 | <0.001 |
| log(distance_km) | −0.1219 | 0.0105 | −0.1426 | −0.1013 | <0.001 |
| (B) | |||||
| Component | Variance | ||||
| Var(bus_id intercept) | 0.043 | ||||
| Var(residual) | 0.0276 | ||||
| (C) | |||||
| Test | LRT | df | p-Value | ||
| LRT (technology included) | 387.259 | 3 | <0.001 | ||
| Pair | Ratio (95% CI) | % Difference (95% CI) | p_adj_Holm |
|---|---|---|---|
| BEV vs. ON | 0.272 (0.250–0.296) | −72.8% (−75.0% to −70.4%) | <0.001 |
| BEV vs. HEV | 0.407 (0.354–0.450) | −60.1% (−64.6% to −55.0%) | <0.001 |
| BEV vs. CNG | 0.236 (0.200–0.280) | −76.4% (−80.0% to −72.0%) | <0.001 |
| HEV vs. ON | 0.681 (0.620–0.748) | −31.9% (−38.0% to −25.2%) | <0.001 |
| HEV vs. CNG | 0.592 (0.498–0.704) | −40.8% (−50.2% to −29.6%) | <0.001 |
| CNG vs. ON | 1.149 (0.988–1.337) | 14.9% (−1.2% to 33.7%) | 0.072 |
| Scenario/Technology | Climate Change | Particulate Matter | Ionizing Radiation | Photochemical Ozone Formation | Resource Use, Fossils | Water Use |
|---|---|---|---|---|---|---|
| (kg CO2 eq) | (Disease inc.) | (kBq U-235 eq) | (kg NMVOC eq) | (MJ) | (m3 depriv.) | |
| CNG EURO6 | 1.036 | 5.14 × 10−9 | 1.21 × 10−3 | 2.09 × 10−3 | 17.988 | 0.008 |
| ON EURO5 EEV | 1.870 | 2.20 × 10−8 | 8.73 × 10−3 | 5.88 × 10−3 | 23.949 | 0.022 |
| ON EURO6 | 1.520 | 1.45 × 10−8 | 7.09 × 10−3 | 3.56 × 10−3 | 19.442 | 0.018 |
| HEV EURO6 | 1.053 | 1.09 × 10−8 | 4.91 × 10−3 | 2.61 × 10−3 | 13.468 | 0.012 |
| BEV mix 2024 | 0.940 | 8.39 × 10−9 | 5.99 × 10−3 | 2.02 × 10−3 | 10.597 | 0.091 |
| BEV mix 2030 | 0.521 | 6.56 × 10−9 | 7.11 × 10−3 | 1.19 × 10−3 | 6.203 | 0.066 |
| BEV mix 2040 | 0.127 | 4.89 × 10−9 | 1.62 × 10−1 | 4.13 × 10−4 | 4.748 | 0.032 |
| BEV mix 2050 | 0.066 | 4.95 × 10−9 | 1.92 × 10−1 | 3.12 × 10−4 | 4.595 | 0.024 |
| Scenario/Technology | Climate Change | Particulate Matter | Ionizing Radiation | Photochemical Ozone Formation | Resource Use, Fossils | Water Use |
|---|---|---|---|---|---|---|
| (kg CO2 eq) | (Disease inc.) | (kBq U-235 eq) | (kg NMVOC eq) | (MJ) | (m3 depriv.) | |
| CNG EURO 6 | 6.07 × 105 | 3.01 × 10−3 | 7.11 × 102 | 1.22 × 103 | 1.05 × 107 | 4.97 × 103 |
| ON EURO5 EEV | 6.72 × 106 | 7.92 × 10−2 | 3.14 × 104 | 2.11 × 104 | 8.60 × 107 | 7.77 × 104 |
| ON EURO 6 | 1.51 × 107 | 1.43 × 10−1 | 7.03 × 104 | 3.53 × 104 | 1.93 × 108 | 1.74 × 105 |
| HEV EURO 6 | 2.08 × 106 | 2.17 × 10−2 | 9.72 × 103 | 5.17 × 103 | 2.67 × 107 | 2.41 × 104 |
| BEV mix 2024 | 1.45 × 106 | 1.30 × 10−2 | 9.26 × 103 | 3.12 × 103 | 1.64 × 107 | 1.40 × 105 |
| BEV mix 2030 | 8.04 × 105 | 1.01 × 10−2 | 1.10 × 104 | 1.84 × 103 | 9.58 × 106 | 1.02 × 105 |
| BEV mix 2040 | 1.95 × 105 | 7.55 × 10−3 | 2.50 × 105 | 6.38 × 102 | 7.33 × 106 | 4.97 × 104 |
| BEV mix 2050 | 1.02 × 105 | 7.65 × 10−3 | 2.96 × 105 | 4.82 × 102 | 7.10 × 106 | 3.73 × 104 |
| Scenario/Technology | Climate Change | Particulate Matter | Ionizing Radiation | Photochemical Ozone Formation | Resource Use, Fossils | Water Use |
|---|---|---|---|---|---|---|
| (kg CO2 eq) | (Disease inc.) | (kBq U-235 eq) | (kg NMVOC eq) | (MJ) | (m3 depriv.) | |
| 3% | 7.781 × 105 | 7.808 × 10−3 | 3.640 × 10−3 | 1.886 × 10−3 | 9.975 × 10−6 | 1.263 × 10−4 |
| 5% | 1.297 × 10−6 | 1.301 × 10−2 | 6.067 × 10−3 | 3.143 × 10−3 | 1.663 × 10−7 | 2.105 × 10−4 |
| 10% | 2.594 × 10−6 | 2.603 × 10−2 | 1.213 × 10−4 | 6.287 × 10−3 | 3.325 × 10−7 | 4.210 × 10−4 |
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Share and Cite
Staniek, M. Traffic-Management Screening with Urban Buses as Probe Vehicles: MRV, Mixed-Effects Evidence and EF 3.1 Scenarios from a 2024 Metropolitan Fleet. Smart Cities 2026, 9, 89. https://doi.org/10.3390/smartcities9060089
Staniek M. Traffic-Management Screening with Urban Buses as Probe Vehicles: MRV, Mixed-Effects Evidence and EF 3.1 Scenarios from a 2024 Metropolitan Fleet. Smart Cities. 2026; 9(6):89. https://doi.org/10.3390/smartcities9060089
Chicago/Turabian StyleStaniek, Marcin. 2026. "Traffic-Management Screening with Urban Buses as Probe Vehicles: MRV, Mixed-Effects Evidence and EF 3.1 Scenarios from a 2024 Metropolitan Fleet" Smart Cities 9, no. 6: 89. https://doi.org/10.3390/smartcities9060089
APA StyleStaniek, M. (2026). Traffic-Management Screening with Urban Buses as Probe Vehicles: MRV, Mixed-Effects Evidence and EF 3.1 Scenarios from a 2024 Metropolitan Fleet. Smart Cities, 9(6), 89. https://doi.org/10.3390/smartcities9060089

