Journal of Physics: Complexity · 2025, Vol 6, 025017
“How reliable is your bus to hospital?” — It depends on where you live.
The Core Concept
Most studies of healthcare access focus on the average travel time. This paper asks a different question: how much does your journey time change throughout the day? This variation — called Travel Time Variability (TTV) — is measured as the standard deviation of travel times calculated at nine hourly departure points from 09:00 to 17:00.
Bus to nearest hospital — times across the day
TTV ≈ 3.3 min (SD)Journey times tend to be higher during morning and afternoon rush hours, with a quieter midday period. Still far more predictable than rural routes. Shape is illustrative; SD from paper data.
Bus to nearest hospital — times across the day
TTV ≈ 9.6 min (SD)Sparse, irregular services create huge swings in journey time. A missed bus might mean a 40-minute wait for the next one. Shape is illustrative; SD from paper data.
The Scale of the Study
Travel times were calculated by querying real public transport timetables using OpenTripPlanner, covering every Lower layer Super Output Area (LSOA) in England.
The Urban–Rural Divide
Mean TTV was computed for urban and rural LSOAs separately, revealing stark differences in service reliability. The gap is even more pronounced for GP access than for hospitals.
Deprivation + Unreliability
The paper classifies LSOAs into four quadrants based on whether they fall in the top 30% for TTV and/or for deprivation (Index of Multiple Deprivation). Click a quadrant or its description to explore.
Notable Findings
Arguably the best bus service outside London — almost the entire city shows low-TTV clusters for both hospital and GP access. An extensive, well-integrated network keeps journey times consistent throughout the day.
Areas just outside Greater London show high-high TTV clusters (high TTV, high deprivation). Good rail links into the capital mask poor local bus connections. Four inner London boroughs — Hackney, Hammersmith & Fulham, Kensington & Chelsea, and Camden — show the highest GP TTV inequality (Gini coefficient).
Just 52 areas cannot reach their nearest GP by bus within two hours. For hospitals, that number leaps to 708. This reflects the more dispersed geography of hospital provision and the critical importance of reliable bus services for specialist care.
Citation
Data underlying this study is openly available via Zenodo:
https://doi.org/10.5281/zenodo.15459184
Published open access under CC BY 4.0.