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PreprintCC BYChemRxiv

How much does the graph help? An information-parity evaluation of graph neural networks for urban air-quality estimation

8 affiliations
  1. 1Lisbon Council
  2. 2Smart Sense d.o.o
  3. 3Institute for Medical Research and Occupational Health
  4. 4Landhausgasse 7, Austria
  5. 5Invenium Data Insights GmbH, Herrengasse 28, Graz, Austria, 8010
  6. 6Institute for Anthropological Research
  7. 7Faculty of Food Technology Osijek
  8. 8Josip Juraj Strossmayer University of Osijek

Abstract

Graph neural networks (GNNs) are increasingly used to estimate air pollution at unmonitored urban locations, but reported gains often conflate what a model is with what it sees. We present a heterogeneous, wind-aware graph attention network that embeds regulatory monitoring stations and traffic counters as distinct node types, and evaluate it under an information-parity protocol: six geostatistical and tabular baselines receive the identical, published information set, within a task taxonomy separating virtual sensing (target history available) from spatial extrapolation (no target-side data at any stage). On five stations and 16 traffic counters in Graz, Austria (2018-2021), neighboring stations’ same-day concentrations account for essentially the entire previously observed GNN advantage: the architecture gap at parity is -0.002 R2. In leakage-free extrapolation the GNN does not outperform task-legal geostatistics (-0.06 R2 versus the strongest baseline), a heterogeneous GNNExplainer analysis routes almost all explanation mass through station-to-station rather than traffic edges, and split-conformal intervals under-cover (0.53 and 0.76 at nominal 0.90), quantifying the cost of crossstation calibration. In dense daily-resolution urban networks, evaluation practice rather than architecture dominates reported GNN advantages; the protocol, code, and data are released so the audit can be repeated on any network.

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BibTeX
@misc{petric2026much,
  title = {{How much does the graph help? An information-parity evaluation of graph neural networks for urban air-quality estimation}},
  author = {Valentino Petrić and Dejan Strbad and Nikolina Račić and Francesco Mureddu and Andreas Schopper and Benedikt Tschofenig and Michael Haberl and Mario Lovrić and Mario Lovric},
  howpublished = {ChemRxiv},
  year = {2026},
  month = sep,
  doi = {10.26434/chemrxiv.15008206/v1},
  url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008206/v1},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - How much does the graph help? An information-parity evaluation of graph neural networks for urban air-quality estimation
AU  - Valentino Petrić
AU  - Dejan Strbad
AU  - Nikolina Račić
AU  - Francesco Mureddu
AU  - Andreas Schopper
AU  - Benedikt Tschofenig
AU  - Michael Haberl
AU  - Mario Lovrić
AU  - Mario Lovric
PY  - 2026
DA  - 2026/09/02
PB  - ChemRxiv
DO  - 10.26434/chemrxiv.15008206/v1
UR  - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008206/v1
AB  - Graph neural networks (GNNs) are increasingly used to estimate air pollution at unmonitored urban locations, but reported gains often conflate what a model is with what it sees. We present a heterogeneous, wind-aware graph attention network that embeds regulatory monitoring stations and traffic counters as distinct node types, and evaluate it under an information-parity protocol: six geostatistical and tabular baselines receive the identical, published information set, within a task taxonomy separating virtual sensing (target history available) from spatial extrapolation (no target-side data at any stage). On five stations and 16 traffic counters in Graz, Austria (2018-2021), neighboring stations’ same-day concentrations account for essentially the entire previously observed GNN advantage: the architecture gap at parity is -0.002 R2. In leakage-free extrapolation the GNN does not outperform task-legal geostatistics (-0.06 R2 versus the strongest baseline), a heterogeneous GNNExplainer analysis routes almost all explanation mass through station-to-station rather than traffic edges, and split-conformal intervals under-cover (0.53 and 0.76 at nominal 0.90), quantifying the cost of crossstation calibration. In dense daily-resolution urban networks, evaluation practice rather than architecture dominates reported GNN advantages; the protocol, code, and data are released so the audit can be repeated on any network.
ER  -