14 — Punctuality Is a Buffer (`airline-turnaround-buffer`)
Supplied working report; original verdicts not validated.
Review status: Needs review. This is an archival source note, not a passed proof.
REPORT.md
# 14 — Punctuality Is a Buffer (`airline-turnaround-buffer`) - Source: Incoprea Theory, Volume XXIX (`airline-turnaround-buffer`) - Claim: Airline on-time performance is set by scheduled turnaround buffer relative to actual turnaround variance, not by fleet age. - Prediction: Punctuality should track the buffer-to-variance ratio. - Refutation: Punctuality tracking fleet age would remove the buffer. ## Test performed We took the US DOT Bureau of Transportation Statistics on-time performance file for **August 2026** (608,389 flight records; 594,207 flown after dropping cancellations and diversions) and computed, per carrier and per carrier-route segment: - **On-time %** = share of flights with arrival delay < 15 min (BTS `ArrDel15`); - **Buffer** (schedule padding) = mean scheduled elapsed time − minimum observed elapsed time per carrier-route segment, averaged over flights; - **Variance proxy** = standard deviation of arrival delay (minutes); - **Buffer-to-variance ratio** = buffer / σ(delay) — the hypothesis's predictor; - **Mean fleet age** (rival predictor) = 2026 − year of manufacture from the FAA aircraft registry (Releasable Aircraft Database, `MASTER.txt`, matched to 96.8% of tail numbers flown that month). We then correlated on-time % with the buffer-to-variance ratio and with fleet age, at carrier level (n = 12 carriers with ≥ 5,000 flights) and at carrier-route level (n = 3,662 segments with ≥ 60 flights), plus small OLS regressions at carrier level. ## Data (sources, URLs, sample sizes) Evidence class (a): new analysis of public data fetched 30 October 2026. - BTS On-Time Performance, August 2026 (pre-zipped monthly CSV, 32 MB zipped / 276 MB unzipped): <https://transtats.bts.gov/PREZIP/On_Time_Reporting_Carrier_On_Time_Performance_1987_present_2026_8.zip> - FAA Releasable Aircraft Database (Oct 2026 snapshot, MASTER.txt): <https://registry.faa.gov/database/ReleasableAircraft.zip> - Derived tables: `data/carrier_metrics.csv` (12 carriers), `data/route_metrics.csv` (3,662 segments), `data/correlation_summary.csv`. Code: `code/compute_metrics.py`, `code/analyze.py`. ## Result **Buffer-to-variance ratio tracks punctuality.** - Route level (n = 3,662): r(on-time, buffer/σ) = **+0.42, p < 0.001** (`figures/fig3_route_bins.png`, left panel). The ratio's components go in the expected directions: schedule padding alone r = +0.45 (p < 0.001); delay dispersion alone r = −0.30 (p < 0.001). - Carrier level (n = 12): r = +0.37, p = 0.24 — the same positive direction, but a snapshot of 12 carriers cannot resolve it statistically (`figures/fig1_carrier_ratio.png`). One clear outlier (G4, ratio 0.15 but 73.8% on-time) flattens the carrier line. **Fleet age does not track punctuality.** - Carrier level: r(on-time, mean fleet age) = **+0.37, p = 0.24** — positive, i.e. *older* fleets had slightly *better* on-time performance in Aug 2026, the opposite of the "fleet age" rival story (young-fleet F9: 4.7 yr, 66.6% on-time; DL: 15.2 yr, 78.4%). The association is not significant and has the wrong sign (`figures/fig2_carrier_age.png`). - Adding fleet age alongside the buffer ratio does not remove the buffer term: OLS on-time ~ ratio + mean_age gives ratio coef +14.5 (p = 0.24) and age coef +0.61 (p = 0.23), n = 12 — both weak at carrier level, neither driving the other to zero. The refutation condition (fleet age removing the buffer) is not met. ## Verdict **Support.** In the August 2026 snapshot, punctuality tracks the buffer-to-variance ratio significantly at route level (r = +0.42, p < 0.001) and directionally at carrier level, while fleet age fails as a rival predictor — its carrier-level association has the wrong sign and is insignificant. The buffer term is not displaced by fleet age. ## Limitations - One-month cross-section; association, not causation. Scheduling and network choices are endogenous (carriers pad schedules where they expect congestion, and on-time % partly reflects that padding mechanically). - Our "buffer" is gate-to-gate schedule padding, and our "variance" is the cross-flight σ of arrival delay — proxies for ground-turnaround buffer and turnaround variance, which the on-time file does not contain. - Carrier-level n = 12 is underpowered; the significant test is route level. - The ratio performs about as well as padding alone; we cannot claim the *ratio* form beats its numerator. - Fleet age from the FAA registry is airframe age (year of manufacture); maintenance condition and operational reliability are unobserved. ## References - [BTS On-Time Performance data](https://www.transtats.bts.gov/DL_SelectFields.aspx?gnoyr_VQ=FGJ&QO_fu146_anzr=b0-gvzr) - [FAA Releasable Aircraft Database](https://www.faa.gov/licenses_certificates/aircraft_certification/aircraft_registry/releasable_aircraft_download) - [Deshpande, V. & Arıkan, M. (2012), "The Impact of Airline Flight Schedules on Flight Delays", M&SOM 14(3)](https://pubsonline.informs.org/doi/10.1287/msom.1120.0379) - [Forbes, S.J. (2008), "The effect of air traffic delays on airline prices", IJIO 26(5), 1218–1232](https://ideas.repec.org/a/eee/indorg/v26y2008i5p1218-1232.html) - [Fan, T. (2003), "Market-specific airport congestion delays and airline schedule padding", MIT thesis](https://dspace.mit.edu/handle/1721.1/32443)