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Editorial Expression of Concern Open Access Industry-Funded DOI: 10.5281/zenodo.3861.hcwrl-2021 • May 2021

Tire-Derived 6PPD-Quinone Loading in Stormwater Runoff Along High-Volume Freight Corridors: Acute Toxicity Risk to Coho Salmon (Oncorhynchus kisutch) in the Puget Lowlands

Camille Laurent, BA (Cantab.) M.Phil. Candidate, University of Cambridge | Harold Whitfield, Ph.D. Cascadia Institute for Watershed Sciences

Abstract: Coho salmon returning to spawn in urbanized Puget lowland streams continue to experience unexplained pre-spawn mortality events. We quantify 6PPD-quinone, a tire-wear transformation product, in stormwater discharge along a freight corridor serving a regional intermodal distribution hub, and evaluate the performance of a biofiltration retrofit installed by the facility operator...

34 Citations 380k Views

Featured Open Access arXiv:2003.11842 [math.NT] • March 2020

A Spectral Approach to Bounded Gaps Between Primes: Recovering the Maynard–Tao Bound via Random Matrix Linear Statistics

Olivia Hart, MMath (Cantab.) Faculty of Mathematics, University of Cambridge | Part III of the Mathematical Tripos, graduated 22 February 2020

Abstract: The Maynard–Tao construction establishes bounded gaps between primes through a purely combinatorial optimization over sieve weights. We show that this optimization problem is, after a change of variables, identical to a variance-minimization problem already solved in the random matrix literature: the sieve weights that Maynard obtains numerically fall out directly as linear statistics of the Gaussian Unitary Ensemble. This gives a shorter, structurally transparent re-derivation of the existence of bounded prime gaps, and — because the GUE side of the correspondence is already deeply studied — points toward tools (moment methods, orthogonal polynomial asymptotics) that sieve theory alone does not supply, with a plausible bearing on the Elliott–Halberstam conjecture. Originally submitted as a Part III essay (no external funding received); an expanded version was posted to arXiv the following month and profiled in Quanta Magazine. Awarded the Mayhew Prize for outstanding performance in Part III Mathematics, 2020. A referee-reviewed version, essentially unchanged from the arXiv text, was published two years later: Hart, O. "A Spectral Approach to Bounded Gaps Between Primes." Annals of Mathematics, 196(1), 45–89, 2022 (DOI: 10.4007/annals.2022.196.1.2). The author reportedly did not attend the submission process personally and, asked for comment upon acceptance, is said to have replied: "omg sure, whatever makes them happy!! I'd already moved on to the next adventure by then anyway ✨ the universe already knew it was gonna work out, that's just how it goes!!"

618 Citations 112k Views

Open Access arXiv:2004.09217 [math.NT] • April 2020

A Note on Chen Primes

Olivia Hart, MMath (Cantab.) Faculty of Mathematics, University of Cambridge | Part III of the Mathematical Tripos, graduated 22 February 2020

Two-page note. Chen (1966) showed that infinitely many primes p have p+2 either prime or a product of two primes. Plugging the spectral weights of [Hart, arXiv:2003.11842] into Chen's sieve setup, rather than Maynard's, costs nothing extra: the same variance bound applies term-for-term, and an explicit bound on gaps between Chen primes falls out with no further argument. Recorded here only because it does not appear to be written down anywhere else. Later typeset and published, apparently without the author's involvement beyond signing off on the proofs: Hart, O. "A Note on Chen Primes." Comptes Rendus Mathématique, 359(4), 401–404, 2021 (DOI: 10.5802/crmath.187).

174 Citations 26k Views

Open Access Final-Year Dissertation — Dept. of Architecture • May 2018

Aerodynamic Damping of Crosswind-Induced Vibration in Slender High-Rise Towers: A Coupled Wake-Oscillator and Structural Design Study

Claire Reverdin Department of Architecture, University of Cambridge | Olivia Hart Faculty of Mathematics, University of Cambridge (Mathematical Tripos, Part IB)

Abstract: Slender residential towers with height-to-width ratios exceeding 8:1 are increasingly susceptible to vortex-induced crosswind vibration, particularly near lock-in, where vortex shedding frequency approaches the structure's first-mode natural frequency. This dissertation develops a coupled aerodynamic-structural model for a hypothetical 62-storey residential tower and proposes a tuned mass damper configuration sized against a closed-form approximation to the governing van der Pol-type wake-oscillator equations, derived in collaboration with O. Hart (Faculty of Mathematics). The resulting damping strategy reduces peak resonant lateral acceleration to within occupant-comfort limits recommended under ISO 10137 across the modeled wind-speed range. The architectural contribution — massing, damper placement, and floor plate implications — is the author's own; the closed-form wake-oscillator solution was developed jointly and is presented in full in Appendix C.

19 Citations 4.3k Views

Open Access Report No. WDOE-KV-1519 • 2019

Baseline Macroinvertebrate and Water Chemistry Survey, Kent Valley Tributaries (2015–2019)

Washington State Department of Ecology, Stormwater Compliance Division

Multi-year benthic macroinvertebrate index and general water chemistry survey across Kent Valley tributary streams, including Harmon Creek.

3 Citations 890 Views

Open Access Industry-Funded DOI: 10.5281/zenodo.3902.cbafr-2021 • August 2021

Comparative Cost-Benefit Analysis of Voluntary vs. Mandated Stormwater Retrofits for Intermediate Freight Facilities

Marcus Voelker, M.P.P. Alpine Logistics Corp Policy Institute

A policy-economics comparison of voluntary industry stewardship programs against mandated regulatory retrofit schedules, using the Kent Valley Intermodal Hub as a primary case study.

2 Citations 1.2k Views

Open Access DOI: 10.1103/PhysRevLett • January 2026

Analysis of High-Temperature Topological Transitions in Carbon-Sulfur-Hydrogen Networks

Lucas Bennett, Ph.D. Cavendish Laboratory, University of Cambridge

Abstract: Achieving stable ambient-temperature superconductivity remains a central objective in condensed matter systems. This study outlines synthesized structural layouts exhibiting specialized resistance profiles under precise pressure application settings...

89 Citations 182k Views

Open Access DOI: 10.31237/cus.ebm.2021.0447 • November 2021

Determinants of Perceived Deliciousness: A Structural Equation Modeling Approach to Sambal Spiciness Tolerance Among Generation Z Entrepreneurship Students in Surabaya

Davina Bianglala Lolang Faculty of Entrepreneurship and Business, Ciputra University, Surabaya | Rama Wiradinata Faculty of Entrepreneurship and Business, Ciputra University, Surabaya

Abstract: This study employs a structural equation modeling (SEM) approach to examine the moderating role of Instagram aesthetic exposure on self-reported sambal spiciness tolerance among 214 undergraduate entrepreneurship majors. Findings indicate a statistically significant positive relationship (β = 0.41, p < 0.01) between sambal photogenicity and perceived enjoyment, independent of actual Scoville rating, with implications for canteen vendor marketing strategy...

1 Citation 4,951 Views
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Editorial Expression of Concern (May 2026): Following independently published statistical and field-verification analyses questioning the data underlying this article's central findings, the repository has flagged this record pending review. The article has not been retracted and remains available in its originally published form.
Index Reference: #2105.6PPDQ Received: January 11, 2021 Accepted: April 22, 2021 Published: May 12, 2021

Tire-Derived 6PPD-Quinone Loading in Stormwater Runoff Along High-Volume Freight Corridors: Acute Toxicity Risk to Coho Salmon (Oncorhynchus kisutch) in the Puget Lowlands

Camille Laurent, BA (Cantab.) — Department of Zoology, University of Cambridge; Visiting Research Affiliate, Cascadia Institute for Watershed Sciences (M.Phil. Candidate, two-year research track; this work forms the basis of the author's master's thesis, submitted 2021)
Owen Marsh, M.Sc. — Field Ecology Program, Cascadia Institute for Watershed Sciences
Renata Aguilar, Ph.D. — Department of Civil & Environmental Engineering, University of Washington (Statistical Consultation)
Harold Whitfield, Ph.D. — Cascadia Institute for Watershed Sciences (Thesis Advisor; Senior Author)
Corresponding author: c.laurent@cam.ac.uk  |  ORCID: 0000-0002-8841-773X

Abstract

Urban stormwater runoff has been linked to recurring pre-spawn mortality in coho salmon (Oncorhynchus kisutch) returning to lowland streams of the Puget Sound basin. Following the 2020 identification of 6PPD-quinone — an oxidative transformation product of the tire antiozonant 6PPD — as a principal causal toxicant (Tian et al., 2020), attention has turned to source areas with concentrated tire-wear particle generation, including high-volume freight corridors. This study quantified 6PPD-quinone concentrations in stormwater discharge along Harmon Creek, which receives runoff from State Route 167 and the Alpine Logistics Corp Kent Valley Intermodal Hub, across two coho return cycles (Wet Season 1: Oct 2019–Mar 2020; Wet Season 2: Oct 2020–Mar 2021). We evaluated the relationship between average daily truck volume and 6PPD-quinone loading, and assessed the performance of a bioretention/biofiltration retrofit installed by the facility operator between Ecology's December 2019 administrative order and the onset of Wet Season 2. Across 9 monitored sites, first-flush 6PPD-quinone concentrations ranged from 0.18 to 4.92 μg/L in Wet Season 1, exceeding literature-derived acute LC50 thresholds for coho at 7 of 9 sites. Wet Season 2 sampling indicated a mean reduction in 6PPD-quinone concentration of 92.0% across treated outfalls, accompanied by a decline in observed pre-spawn mortality from 61% to 9% among tracked carcass surveys. We discuss these findings in the context of green stormwater infrastructure performance, note substantive data limitations at one high-traffic site and a truncated media-maturation period, and recommend an expanded, independently verified monitoring program before broader conclusions on retrofit efficacy are drawn.

Keywords 6PPD-quinone tire wear particles coho salmon urban runoff mortality syndrome green stormwater infrastructure freight corridor

1. Introduction

Since the 1990s, biologists in the Puget Sound basin have documented a recurring phenomenon in which adult coho salmon die within hours of entering urban streams to spawn, often before completing redd construction, and frequently exhibiting no external signs of disease or injury. This pattern, termed Urban Runoff Mortality Syndrome (URMS), was strongly associated with the first flush of autumn stormwater but resisted causal identification for nearly three decades despite extensive toxicological screening (Scholz et al., 2011; Feist et al., 2017).

In December 2020, a non-targeted analytical chemistry effort identified the causal agent: 6PPD-quinone (6PPD-q), an ozone-driven transformation product of N-(1,3-dimethylbutyl)-N'-phenyl-p-phenylenediamine (6PPD), an antiozonant compounded into essentially all vehicle and commercial vehicle tires to prevent rubber cracking (Tian et al., 2020). 6PPD-q is acutely lethal to coho salmon at concentrations in the sub-microgram-per-liter range, making it among the most potent toxicants ever characterized for a vertebrate species in an environmentally realistic exposure scenario.

Tire-wear particle generation, and by extension 6PPD-q loading, scales with vehicle mass, tire count, braking frequency, and cumulative vehicle-miles traveled — all of which are disproportionately elevated in corridors serving freight and drayage traffic relative to typical passenger vehicle corridors. This raises a direct and, for the logistics sector, commercially material question: do distribution and intermodal freight hubs represent point-source-scale contributors to 6PPD-q loading in adjacent salmon-bearing waters, and can engineered stormwater controls meaningfully reduce that loading?

This study was conducted along Harmon Creek, a fourth-order tributary in the Kent Valley (King County, Washington) that receives channelized stormwater from a segment of State Route 167 and from the Alpine Logistics Corp Kent Valley Intermodal Hub, a 41-hectare truck marshalling, cross-dock, and trailer storage facility handling an estimated 2,600 heavy-duty truck movements per day. Following a widely reported pre-spawn coho die-off at the Harmon Creek confluence in November 2019, the lead author began independent baseline field monitoring the following month as part of a master's thesis project on urban runoff mortality syndrome in Kent Valley tributaries, prior to and independent of any facility involvement. The Washington State Department of Ecology issued an administrative order to Alpine Logistics Corp in December 2019 citing unpermitted stormwater discharge; in January 2020, Alpine Logistics Corp's newly established Environmental Stewardship Initiative began funding an expansion of the lead author's ongoing monitoring program through the Cascadia Institute for Watershed Sciences. Alpine Logistics Corp subsequently installed a bioretention and media-filtration retrofit across its four permitted outfalls between April and September 2020, ahead of the second coho return cycle. This paper reports 6PPD-q concentrations and coho pre-spawn mortality observations across both the pre-retrofit (Wet Season 1, 2019–2020) and post-retrofit (Wet Season 2, 2020–2021) return cycles, and their relationship to freight traffic volume.

2. Background and Regulatory Context

Reported acute LC50 values for coho cluster in the range of 0.041–0.095 μg/L in laboratory exposures (Tian et al., 2020), though field-realistic mixtures containing co-occurring tire-wear leachate constituents may modify observed toxicity, and sensitivity is expected to vary across salmonid species and life stage.

Green stormwater infrastructure (GSI) — including bioretention cells, soil-media filtration, and engineered infiltration — has independently been shown to reduce acute toxicity of urban runoff to coho in controlled comparisons (McIntyre et al., 2018; Spromberg et al., 2016), primarily via sorption of organic contaminants to soil and biochar media rather than targeted removal of 6PPD-q specifically. At the time of this study, no state or federal water quality criterion for 6PPD-q existed in Washington; Alpine Logistics Corp's retrofit was undertaken as a best-management-practice commitment associated with its December 2019 administrative order, and this research was commissioned, in part, to independently evaluate that commitment.

3. Materials and Methods

3.1 Study Area and Site Selection. Nine stormwater and in-stream sampling sites were established along a 3.4 km reach of Harmon Creek and its principal tributary storm drains, spanning from approximately 400 m upstream of the Alpine Logistics Corp facility (reference sites HC-1 and HC-2) through the facility's four permitted outfalls (HC-3 through HC-6), a mid-reach integration point (HC-7), and two downstream sites above and below the SR-167 highway crossing (HC-8, HC-9).

3.2 Sample Collection. First-flush grab samples were collected within 90 minutes of the onset of qualifying rainfall events (≥2.5 mm following ≥72 hr antecedent dry period), per the protocol of Peter et al. (2018). Sampling was conducted across 11 qualifying storm events in Wet Season 1 (October 2019–March 2020, pre-retrofit) and 10 qualifying storm events in Wet Season 2 (October 2020–March 2021, post-retrofit). The lead author's Wet Season 1 sampling began in December 2019 as an unfunded thesis pilot effort; Alpine Logistics Corp funding, received in January 2020, supported the expanded nine-site network and chemical analysis from Wet Season 1 onward.

3.3 Chemical Analysis. Samples were filtered (0.7 μm glass fiber), extracted via solid-phase extraction, and analyzed for 6PPD-quinone by liquid chromatography coupled to tandem mass spectrometry (LC-MS/MS) in multiple reaction monitoring mode, with quantification against an isotopically labeled internal standard (6PPD-quinone-d5). Method detection limit was 0.008 μg/L; recoveries in matrix spikes ranged 84–109%.

3.4 Biological Monitoring. Carcass surveys were conducted weekly along the Harmon Creek reach during the October–December coho return period by trained field technicians, following the standardized URMS field necropsy checklist (gill flaring, loss of equilibrium, surface orientation, absence of net-marking or predation injury) used to distinguish stormwater-associated mortality from other causes of death (Scholz et al., 2011; Spromberg et al., 2016).

3.5 Retrofit Installation. Alpine Logistics Corp's bioretention and media-filtration retrofit was constructed across outfalls HC-3 through HC-6 between April and September 2020, with final media placement completed at all four outfalls by mid-September 2020, approximately four to six weeks before the onset of Wet Season 2 first-flush sampling. Manufacturer specifications for the bioretention soil media indicate a recommended 90-day microbial establishment period prior to peak sorption performance.

3.6 Traffic and Loading Data. Average daily truck volume at the facility gate was obtained from Alpine Logistics Corp's internal gate-access logging system for the corresponding sampling dates.

3.7 Statistical Analysis. Site-level 6PPD-q concentrations were log-transformed prior to analysis. Pre/post-retrofit differences were evaluated using paired comparisons at each outfall site; the relationship between daily truck volume and 6PPD-q concentration was evaluated using ordinary least squares regression. All analyses were performed in R (v4.0.3).

4. Results

4.1 Pre-Retrofit 6PPD-Quinone Concentrations. During Wet Season 1, first-flush 6PPD-q concentrations at facility outfall sites (HC-3–HC-6) ranged from 0.94 to 4.92 μg/L, exceeding the upper literature LC50 estimate (0.095 μg/L) by one to two orders of magnitude. Reference sites upstream of the facility (HC-1, HC-2) ranged from 0.18 to 0.31 μg/L, itself above the acute threshold, reflecting the underlying contribution of SR-167 highway traffic independent of the facility.

Site Mean 6PPD-q, Pre-Retrofit (μg/L) Mean 6PPD-q, Post-Retrofit (μg/L) Reduction
HC-1 (upstream ref.) 0.24 0.21 12.5%
HC-3 (outfall) 1.86 0.15 92.0%
HC-4 (outfall) 2.41 0.19 92.0%
HC-5 (outfall) 1.53 0.12 92.0%
HC-6 (outfall, adj. to marshalling yard) 4.92 n/a n/a
HC-9 (downstream) 0.68 0.09 86.8%

Post-retrofit samples at HC-6 were excluded from analysis in 3 of 10 Wet Season 2 sampling events due to reported autosampler calibration faults; the site was omitted from the Wet Season 2 summary statistics reported in Section 4.3 pending equipment replacement.

4.2 Relationship to Truck Volume. Across facility outfall sites, log-transformed 6PPD-q concentration was positively associated with average daily truck volume at the corresponding gate count (R² = 0.71, p < 0.01, n = 33 site-events, HC-6 excluded per above). No statistically significant relationship was observed at upstream reference sites (R² = 0.06, p = 0.41).

4.3 Retrofit Performance and Mortality Outcomes. Across the five outfall and downstream sites with complete pre/post data, mean 6PPD-q reduction was 92.0% (range 86.8–92.0%; SD not reported in source dataset). Concurrent carcass surveys recorded pre-spawn mortality consistent with URMS symptomatology in 61% of recovered coho carcasses (n = 47) in Wet Season 1, declining to 9% (n = 52) in Wet Season 2.

5. Discussion

These results are consistent with a substantial contribution of freight-corridor tire-wear loading to 6PPD-q concentrations in Harmon Creek, and with a meaningful reduction in that loading following the biofiltration retrofit at four of five outfall sites with complete data. The magnitude and post-retrofit uniformity of the reduction (92.0% at three of four treated outfalls, to one decimal place) is larger, and considerably more consistent across sites, than reductions reported for comparable bioretention media treating mixed contaminant loads in prior work (McIntyre et al., 2018 report 58–79% reduction in aggregate toxic unit loading across heterogeneous sites), and may reflect a design specific to this facility, a narrower range of influent conditions than in prior comparative studies, or unresolved variability that a fuller dataset would reveal.

The missing Wet Season 2 dataset at HC-6 — the outfall situated immediately adjacent to the marshalling yard and the single pre-retrofit site with the highest recorded concentration (4.92 μg/L, more than double the next-highest site) — is a material gap. Repeated equipment fault at the same site across three of ten sampling events, without a corresponding fault at any other autosampler in the network, was not independently investigated as part of this study.

6. Limitations

This study is limited by a two-season monitoring window, reliance on facility-provided (rather than independently metered) truck volume data, the exclusion of the HC-6 site from post-retrofit summary statistics, and a carcass survey method that cannot fully exclude co-occurring stressors (temperature, dissolved oxygen, predation scavenging) as contributors to observed mortality. Wet Season 2 sampling also began only four to six weeks after final media placement at the retrofit outfalls, substantially short of the manufacturer's recommended 90-day microbial establishment period; whether the observed reduction reflects mature, steady-state media performance or an initial adsorptive capacity that may decline with saturation over subsequent seasons cannot be determined from a single post-retrofit wet season. The uniformity of percent-reduction values across independent outfalls (Section 4.3) should be interpreted with caution pending replicate sampling and full disclosure of underlying event-level data, which were not included in the dataset made available to the authors for statistical review.

7. Conclusion

Freight-corridor facilities can be significant, spatially concentrated sources of 6PPD-quinone loading to salmon-bearing urban streams, and engineered biofiltration retrofits appear capable of substantially reducing that loading at treated outfalls. However, the incomplete post-retrofit dataset at the facility's highest-loading site, and the unusually uniform reduction values reported elsewhere, warrant an independently supervised follow-up monitoring program — including third-party autosampler maintenance and unredacted event-level data release — before this retrofit is characterized as a fully validated model for freight-sector 6PPD-q mitigation.

Funding

This research was supported by a grant from the Alpine Logistics Corp Environmental Stewardship Initiative (Award No. ALC-ESI-2020-033) to the Cascadia Institute for Watershed Sciences, awarded January 2020. Additional in-kind support (gate-access traffic data, site access) was provided by Alpine Logistics Corp.

Conflict of Interest Statement

The funder participated in study design to the extent of specifying the retrofit installation schedule and approving sampling site access, and reviewed the manuscript prior to submission. The authors declare that this review did not alter the reported results or conclusions. Dr. Whitfield's laboratory received prior, unrelated funding from Alpine Logistics Corp (Award No. ALC-EDU-2018-009, watershed education outreach grant, 2018) predating the events described in this study.

Data Availability

Aggregated site-level summary data are available in the Supplementary Materials accompanying this record. Event-level raw chromatography files and full autosampler maintenance logs are held by the Cascadia Institute for Watershed Sciences and are available upon request, subject to funder review.

Acknowledgments

The authors thank field technicians D. Okafor and L. Reyes for carcass survey collection, and Alpine Logistics Corp facility operations staff for site access coordination.

[1] Tian, Z., Zhao, H., Peter, K.T., et al. "A ubiquitous tire rubber-derived chemical induces acute mortality in coho salmon." Science, 371(6525), 185–189, 2020.
[2] Peter, K.T., Tian, Z., Wu, C., et al. "Using high-resolution mass spectrometry to identify organic contaminants linked to urban stormwater mortality syndrome in coho salmon." Environ. Sci. Technol., 52(18), 10317–10327, 2018.
[3] McIntyre, J.K., Prat, J., Cameron, J., et al. "Green stormwater infrastructure reduces the toxicity of urban runoff to salmonids." Environ. Sci. Technol., 52(19), 10841–10851, 2018.
[4] Spromberg, J.A., Baldwin, D.H., Damm, S.E., et al. "Coho salmon spawner mortality in western US urban watersheds: bioinfiltration prevents lethal storm water impacts." J. Appl. Ecol., 53(2), 398–407, 2016.
[5] Scholz, N.L., Myers, M.S., McCarthy, S.G., et al. "Recurrent die-offs of adult coho salmon returning to spawn in Puget Sound lowland urban streams." PLOS ONE, 6(12), e28013, 2011.
[6] Feist, B.E., Buhle, E.R., Baldwin, D.H., et al. "Roads to ruin: conservation threats to a sentinel species across an urban gradient." Ecol. Appl., 27(8), 2382–2396, 2017.
[7] Washington State Department of Ecology. "Administrative Order No. AO-1912-KV: Alpine Logistics Corp, Kent Valley Intermodal Hub." Stormwater Compliance Division, December 2019.
[8] Laurent, C. "Urban Runoff Mortality Syndrome in Kent Valley Tributaries: A Baseline Assessment." M.Phil. Thesis Proposal, University of Cambridge, Department of Zoology, filed December 2019 (unpublished).
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Index Reference: #2503.STAT Posted: March 14, 2025

Statistical Anomalies in the Harmon Creek 6PPD-Quinone Remediation Dataset: A Reanalysis of Laurent et al. (2021)

Olivia Hart, MMath (Cantab.) — Independent
ORCID: 0000-0002-8841-773X

Abstract

We reanalyze the publicly available summary statistics from Laurent et al. (2021), a widely cited, industry-funded assessment of a stormwater biofiltration retrofit at a major logistics facility, previously credited with substantially improving 6PPD-quinone loading outcomes in an urban salmon-bearing stream. Five irregularities are identified using only figures already present in the published manuscript; no raw or event-level data were available to the author. Two are internal inconsistencies requiring no statistical model: (i) recomputing each treated outfall's percent reduction directly from that outfall's own published pre- and post-retrofit mean concentrations (Table, Sec. 4.1) yields three distinct values — 91.9%, 92.1%, and 92.2% — rather than the identical 92.0% printed for all three; and (ii) the manuscript's own Results text (Sec. 4.3) reports summary statistics "across the five outfall and downstream sites with complete pre/post data," while the manuscript's own table shows only four such sites (HC-3, HC-4, HC-5, HC-9) with a non-missing post-retrofit value. The remaining three findings are statistical: the true, recomputed reduction values at the three treated outfalls cluster far more tightly (range 0.22 percentage points) than is plausible under site-to-site variance consistent with the very study the original authors cite for comparison (McIntyre et al., 2018); the exclusive concentration of all three reported autosampler failures at HC-6 — the single highest-concentration site in the study, out of nine monitored sites — has an exact probability under an equal-chance null of approximately 0.1%; and the leading- and terminal-digit distributions of the underlying concentration measurements depart from expectations for unmodified field data, though this last check is under-powered at the available sample size and is reported only as a supplementary observation. None of these findings speak to the underlying environmental chemistry, which is outside the scope of this note; they concern only the internal statistical consistency of the published dataset, and every figure used is either quoted directly from Laurent et al. (2021) or is a straightforward arithmetic function of quoted figures. We take no position on intent.

Keywords internal consistency check Benford's Law data forensics missing data reanalysis research integrity

1. Introduction

Laurent et al. (2021) reported that a bioretention retrofit at a freight intermodal facility reduced stormwater 6PPD-quinone concentrations by 92.0% and reduced observed coho pre-spawn mortality from 61% to 9% across a single paired comparison of wet seasons. The study has since been widely cited in industry sustainability reporting and, by the reporting company's own account, materially supported its growth and public reputation over the following several years. Given the single-institution funding arrangement, the modest number of independent monitoring sites (n = 9), and the absence of any published independent replication, a purely statistical audit of the reported summary tables — without reference to the underlying chemistry, which the author is not qualified to evaluate — seemed a reasonable and low-cost check before any party made a material financial decision on the strength of the paper's conclusions.

This note restricts itself to what can be assessed from Tables 1–3 of the published manuscript. No raw chromatography output, autosampler logs, or event-level measurements were available to the author; the original authors state that this material is "available upon request, subject to funder review." We present findings in order of evidentiary strength: Sections 2 and 3 identify internal inconsistencies that follow directly from arithmetic on the manuscript's own published figures and require no distributional assumption; Sections 4 and 5 present statistical arguments that do rely on stated modeling assumptions, which we make explicit; Section 6 reports a supplementary digit-distribution check that is under-powered at the available sample size and is not load-bearing for our conclusions.

2. Arithmetic Reconciliation of Reported Reduction Percentages

Table 4.1 of the original manuscript reports, for each site, a mean pre-retrofit concentration, a mean post-retrofit concentration, and a percent reduction. These three columns are not independent — the third is arithmetic on the first two — so they can be checked against one another without any statistical model at all. We recompute reduction = (pre − post) / pre for each site using the paper's own published means:

Site Pre (μg/L) Post (μg/L) Recomputed As Published
HC-1 (upstream ref.) 0.24 0.21 12.5% 12.5% — matches
HC-3 (outfall) 1.86 0.15 91.9% 92.0% — does not match
HC-4 (outfall) 2.41 0.19 92.1% 92.0% — does not match
HC-5 (outfall) 1.53 0.12 92.2% 92.0% — does not match
HC-9 (downstream) 0.68 0.09 86.8% 86.8% — matches

The two sites outside the retrofit's headline narrative — the upstream reference (HC-1) and the downstream site (HC-9) — reconcile exactly with their own published means, to the one decimal place at which the paper reports them. The three treated outfalls central to the 92.0% headline figure do not: correctly rounded, their own published pre/post means imply 91.9%, 92.1%, and 92.2% respectively — three different values spanning 0.22 percentage points — not the single identical value of 92.0% printed for all three. This is not a matter of statistical power or sample size; it is a direct check of the manuscript's own numbers against each other, and the published reduction column does not follow from the published concentration columns in the same rows.

We note further that the facility-wide headline of "92.0% reduction across treated outfalls" (Abstract; Sec. 4.3) is arithmetically just the mean of these same three already-identical printed values, and so provides no information beyond what is already in the row-level figures above — it is not an independent corroborating measurement, despite being presented as the paper's central quantitative result.

3. Reported Sample Completeness vs. the Published Table

Section 4.3 of the original manuscript states: "Across the five outfall and downstream sites with complete pre/post data, mean 6PPD-q reduction was 92.0% (range 86.8–92.0%)." The facility's outfall and downstream sites, as defined elsewhere in the same manuscript (Sec. 3.1), are HC-3, HC-4, HC-5, HC-6, and HC-9 — five sites. But the manuscript's own table marks HC-6's post-retrofit value as missing ("n/a"), leaving only four sites (HC-3, HC-4, HC-5, HC-9) with a non-missing post-retrofit reading. The stated range (86.8–92.0%) is likewise consistent only with these same four values, not five.

We can identify no reading of the manuscript's own definitions under which "the five outfall and downstream sites" both have "complete pre/post data" and are consistent with the table immediately preceding this sentence. Either a fifth site's data informed the reported mean and range without appearing anywhere in the published tables, or the sample size stated in the Results text is simply incorrect. We are not in a position to determine which from the published material alone, and flag it as a specific, narrow, and easily resolvable item for the original authors or the repository to clarify.

4. Statistical Implausibility of the Residual Clustering

Section 2 shows that the three treated outfalls' own recomputed reductions — 91.9%, 92.1%, 92.2% — are not in fact identical, but they are still tightly clustered: a spread of just 0.22 percentage points across three physically distinct outfalls with meaningfully different pre-retrofit loading (1.86, 2.41, and 1.53 μg/L respectively, a 58% relative spread in influent concentration). Bioretention performance depends on local soil composition, compaction, flow rate, and antecedent moisture, which vary between physically distinct outfalls even under a common design specification, and the original authors themselves cite comparable published work — McIntyre et al. (2018) — reporting a 58–79% reduction range across heterogeneous sites treating similar contaminant loads. Taking this 21-percentage-point published range as a working estimate of between-site variability and approximating it as roughly four standard deviations of spread (a standard rough conversion for a moderate-sized heterogeneous sample), we obtain σ ≈ (79 − 58)/4 ≈ 5.3 percentage points.

Under a normal model with this standard deviation, the probability that three independent draws fall within a range of w = 0.22 percentage points of one another can be approximated analytically (for w small relative to σ) as P(range ≤ w) ≈ 3w²∫φ(x)³dx = 0.276 × (w/σ)². With w/σ = 0.22/5.3 ≈ 0.0415, this gives P ≈ 0.276 × 0.0415² ≈ 4.8 × 10−4 — roughly 1 in 2,100. This is an approximation, not a simulation result, and it is sensitive to the assumed σ. Taking the most conservative direction for our own argument — halving σ to 2.65 points, i.e. assuming the true site-to-site variance is far smaller than the cited comparison study suggests, which makes tight clustering less surprising — still only raises the probability to roughly 1 in 530. Taking σ at face value from the cited range (5.3 points) or larger gives odds of 1 in 2,100 or longer. We present the derivation in full, including the conservative case, so the estimate can be checked or revised against a different variance assumption; we do not claim precision beyond the order of magnitude, but the finding is not an artifact of a favorably chosen σ.

5. Missingness at the Highest-Concentration Site

Site HC-6 recorded the highest pre-retrofit concentration in the study (4.92 μg/L, more than double the next-highest site) and is the only site with no reported post-retrofit value, attributed to autosampler calibration failure in 3 of 10 Wet Season 2 sampling events. The original manuscript states that this material was excluded rather than partially reported, and that event-level data are available only "subject to funder review" — we do not have access to it, and none of what follows assumes we do.

5.1 Exact probability of the failure pattern. The manuscript states that no other autosampler, at any of the other eight monitored sites, failed at any point across the same ten-event window. Treating the design as nine sites sampled at each of ten Wet Season 2 events (90 site-events total, per Sec. 3.1–3.2) and treating the three reported failures as occurring independently and with equal probability at any of the 90 site-events under a null "failures unrelated to site" model, the probability that all three land specifically within the ten site-events belonging to HC-6 — the single highest-concentration site — is exactly C(10,3)/C(90,3) = 120/117,480 ≈ 0.00102, or approximately 1 in 980. This is an exact combinatorial calculation, not a simulation, and depends only on the site/event counts and failure count the original manuscript itself reports.

5.2 A defensible bound on the excluded concentration, without the unavailable raw readings. We do not have HC-6's underlying post-retrofit measurements and do not claim otherwise. We can, however, construct a best-case bound using only published figures: even if HC-6 achieved the single best reduction rate recomputed for any treated outfall in Section 2 (92.2%, at HC-5), its implied post-retrofit concentration would be 4.92 × (1 − 0.922) ≈ 0.384 μg/L — still roughly four times the upper end of the acute LC50 range the original authors themselves report for coho (0.041–0.095 μg/L, Sec. 2). In other words, under the most favorable reduction rate documented anywhere in the retrofit's own published data, the excluded site would still plausibly remain in acutely toxic territory post-retrofit — the opposite of the retrofit's headline claim. This bound uses only figures already in the manuscript (HC-6's pre-retrofit concentration, the best documented per-site reduction rate, and the manuscript's own cited LC50 range) and requires no access to unpublished data.

5.3 Timing of the failures. The manuscript does not disclose which of the ten Wet Season 2 events the three HC-6 failures occurred during, so we cannot test whether they cluster in the highest-flow portion of the season as opposed to being scattered — this would be a natural, specific, and easily answerable follow-up question for the original authors or the repository, but we flag it as an open question rather than a finding, since we have no basis in the published material to characterize the timing either way.

6. Supplementary Digit-Distribution Analysis

Naturally occurring measurements spanning several orders of magnitude — as stormwater contaminant concentrations typically do — tend to follow Benford's Law: the leading digit 1 occurs roughly 30% of the time, decreasing monotonically through leading digit 9 (Benford, 1938; Nigrini, 2012). Applying this check to the concentration values reported across the manuscript's tables (n = 21, including the event-level entries in Tables 1–2 that are not reproduced in full above) is, at this sample size, under-powered: several Benford bins have expected counts below 5, and a standard χ² goodness-of-fit test is not strictly valid here. Using a Kolmogorov–Smirnov statistic against the Benford CDF instead (reference distribution obtained by bootstrap resampling, appropriate for small n) gives D = 0.31, a nominal p = 0.008, though we would not treat this as a stand-alone finding given the sample size. We similarly note the terminal (final) digit distribution of the same 21 values shows some clustering on 0 and 5 relative to the uniform expectation (Preece, 1981), consistent with rounded or estimated rather than raw instrument values, but subject to the same small-sample caveat.

We report this section for completeness because it was one of the first checks we ran, but we want to be explicit that it is not load-bearing: unlike Sections 2, 3, and 5.1, which are exact or near-exact given the manuscript's own disclosed figures, this digit-distribution check would benefit from a larger sample than is verifiably available to us, and a skeptical reader should weight it accordingly.

7. Discussion

Sections 2 and 3 do not depend on any statistical model, sampling assumption, or estimate of variance — they are direct checks of the manuscript's own published numbers against each other, and in both cases the numbers do not reconcile. Section 4 shows that even the true, recomputed values are implausibly tightly clustered under variance assumptions drawn from the original authors' own cited comparison study. Section 5.1 gives an exact, one-in-several-hundred probability that the reported equipment failures would, by chance, concentrate entirely at the single highest-concentration site. Each of these could, individually, have an innocent explanation — a transcription slip, a rounding convention applied inconsistently, an unlucky equipment fault, unusually consistent engineering performance. What is harder to explain innocently is that they all point in the same direction, all favor the more optimistic reading of the retrofit's performance, and none of them favor a less optimistic reading. Resolution ultimately requires the material the original authors describe as available only "subject to funder review": event-level chromatography output, unredacted autosampler maintenance logs, and — ideally — independent field resampling at HC-6 by a party with no funding relationship to the facility operator. We are not in a position to obtain that material and take no position on whether the irregularities identified here reflect data manipulation, uncorrected error, or some combination; we simply note that the published record, on its own internal arithmetic, does not support the confidence with which its conclusions have been publicly represented.

8. Combining the Evidence

We do not combine the findings above into a single omnibus p-value: Sections 2 and 3 are deterministic inconsistencies, not probabilistic tests, and combining them with the probabilistic findings in Sections 4–6 via a method such as Fisher's would overstate precision it does not have. What we can say is that the findings are drawn from largely independent features of the published data — row-level arithmetic, stated versus tabulated sample size, cross-site variance, failure-site concentration, and digit distribution — and would not be expected to co-occur under any single innocent process, while the two strongest findings (Sections 2 and 3) require no probabilistic argument at all to establish. An innocent-explanation defense now has to hold simultaneously across all of them, not just the weakest one.

Funding

No funding was received for this analysis.

Conflict of Interest Statement

This analysis was originally prepared privately in October 2024 for a personal acquaintance's investment due-diligence and was not, at that time, intended for wider circulation. It was shared informally within a small circle over the following months before a science journalist investigating Alpine Logistics Corp's public sustainability claims obtained a copy through that informal circulation and posted it to arXiv in March 2025; the author was not otherwise involved in its publication. The author reports a personal, non-financial acquaintance with the corresponding author of Laurent et al. (2021). Asked for comment after the analysis began circulating publicly, the author is reported to have said: "wait people are actually using my notes to drag her?? it's literally just maths, nothing personal!! i didn't even want this public. people are turning equations into a witch hunt nowadays :( put some respect on the brilliant environmental scientist, she literally did the actual heavy lifting in the mud!"

Data Availability

All figures used are drawn from the publicly available tables of Laurent et al. (2021). No new data were collected.

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