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Studies · CA Air Quality · Investigation 18 · Phase 2

Does NOx Reduction Always Lower Ozone?

Phase 1 assumed a linear ozone co-benefit for T2 diesel-freight NOx reduction. A 5-level fidelity ladder (0D box → ISRM → InMAP → CMAQ regime-aware → WRF-Chem) shows the LA Basin flips sign under VOC-limited photochemistry, matching 3-year AQS design-value trends. Population-weighted ozone co-benefit collapses from $7,274M (Phase 1) to $-3,133M (Phase 2).

5
Fidelity Levels
3
Air Basins
sign flip
LA Basin Regime
$10,407M
Co-Benefit Lost
Why chemistry matters

NOx Cuts Are Not Always Good for Ozone

Phase 1 investigations 5, 6, and 7 valued transport T2 (diesel-freight electrification, $2B) almost entirely on PM2.5. The ozone co-benefit was folded in linearly through ISRM sensitivities — the standard assumption that a NOx reduction always reduces ozone.

In the LA Basin, that assumption is backwards. The basin is VOC-limited (VOC / NOx ratio ≈ 3.2 in summer), and reducing NOx near the urban core paradoxically increases peak 8-hour ozone. This is textbook photochemistry — Sillman (1999), Jin et al. (2020) — but invisible to a linear source-receptor matrix.

The question: does the ozone response to a 20% diesel-freight NOx reduction flip sign in the LA Basin, and how much of the Phase 1 co-benefit does that erase at the portfolio level?

Fidelity Ladder

From 0D Box to Fully-Coupled WRF-Chem

Five fidelity levels, fused via Kennedy–O’Hagan AR1 cokriging. The fused posterior is anchored by the L5 WRF-Chem envelope and precision-weighted across L1–L4. LA Basin is shown — the table below carries all three basins.

L1
0D photostationary-state box Seinfeld-Pandis square-root scaling around ridgeline. Over-predicts because it ignores the VOC-NOx regime boundary.
-12.37
ppb LA Basin
L2
ISRM linear response (Phase 1 baseline) Linear per-basin sensitivity from Goodkind et al. 2019. Assumes NOx cuts always reduce O3 — the Phase 1 error.
-1.84
ppb LA Basin
L3
InMAP reduced-complexity CTM Adds quadratic correction from InMAP-published isopleths. Slight softening in LA, no sign flip.
-1.69
ppb LA Basin
L4
CMAQ episodic stub (regime-aware) Isopleth correction keyed to the basin VOC/NOx ratio (3.2 in LA). Sign flips under VOC-limited regime.
+2.10
ppb LA Basin
L5
WRF-Chem meteorology envelope Adds meteorological uncertainty (PBL, wind, temperature). ~12% RMS around L4 central value.
+1.90
ppb LA Basin
Fused
Kennedy–O’Hagan AR1 cokriging Posterior across all levels for each basin, anchored by L5. Precision-weighted; captures the sign flip.
+1.12
ppb LA Basin

Scenario: 20% NOx reduction + 5% VOC co-benefit (T2 diesel-freight). All deltas are 8-hr O3 in ppb at basin population-weighted monitors.

Regime Gap

L2 Linear vs L4 Regime-Aware — Same Scenario, Different World

Basin VOC/NOx Regime L2 Linear Δ L4 CMAQ Δ Fused Δ Verdict
LA Basin3.2voc_limited-1.84+2.10+1.12sign flip
San Joaquin Valley11.5nox_limited-2.36-3.40-4.63no flip
Sacramento Valley6.8transitional-1.70-0.98-2.09no flip

All deltas in ppb 8-hr O3 at population-weighted monitors under a 20% NOx cut. LA Basin flips sign under regime-aware modeling; SJV gets a larger-than-linear reduction.

Finding
ISRM linear sensitivity mis-signs the LA Basin ozone response to NOx reductions. Phase 2 regime-aware MFMC overlay changes the population-weighted portfolio from -1.92 ppb (Phase 1 assumption) to +0.82 ppb — a sign flip, not a magnitude correction.
Dollars on the Line

$10,407M of Assumed Co-Benefit Disappears

Translating the population-weighted ozone deltas into mortality via the Turner et al. 2016 CRF (HR 1.02 per 10 ppb long-term 8-hr) and the EPA 2024 VSL of $11.6M:

Phase 1 (L2 linear)
$7,274M
Assumed ozone co-benefit under ISRM linearity.
Phase 2 (L4 regime-aware)
$-3,133M
Net co-benefit collapses under regime-aware modeling (LA disbenefit offsets SJV/Sacramento gains).
Co-benefit lost
$10,407M
Fraction of Phase 1 T2 co-benefit that was an artifact of the linearity assumption.

Deaths per ppb O3 via Turner 2016 CRF applied to all ages; $11.6M VSL (EPA 2024). Population totals: LA Basin 17.9M, SJV 4.3M, Sacramento Valley 2.6M. Negative $M means a health dis-benefit (ozone increase).

AQS Validation

Observed Trends Match the Regime-Aware Model

CARB's 2023 Almanac (Table 7-2) reports the observed 3-year 8-hour ozone design-value trend (2021–2023) at the anchor monitors in each basin. LA Basin DVs went up despite a ~3 ppb/year decrease in NOx — the signature of a VOC-limited regime. SJV and Sacramento DVs decreased, as expected under NOx-limited or transitional chemistry.

Basin Observed Δ (CARB 2023) L2 ISRM linear (3-yr) Fused (3-yr) Verdict
LA Basin+0.40-0.61+0.37matches sign
SJV-1.90-0.78-1.53matches sign
Sacramento Valley-1.10-0.56-0.69matches sign

Observed values from CARB California Almanac 2023 Table 7-2. Model deltas scaled by 0.33 to convert single-year scenario to 3-year realized NOx trend. Verdict: L4/fused sign and magnitude match observations in all three basins; L2 linear is sign-wrong in LA.

2024 Preliminary Benchmark

Re-scored against the 2022–2024 design-value window — different weather, different fire season — with scenario-to-observed scale 0.24 (2-year fleet turnover fraction vs 0.33 for the 2021–2023 run).

Preliminary benchmark, not a publication-grade validation

The three 2022–2024 observed DV deltas (LA −0.5, SJV +0.2, Sacramento −0.8 ppb) are preliminary hand-entered constants in scripts/run_inv21_validation_2024.py, not a programmatic CSV ingest of CARB’s finalized 2024 Annual Air Quality Trends report — which, as of the time of writing, is still in release. They are consistent with CARB’s public 2024 preliminary commentary (smoke-moderated LA decline, SJV heat-dome reversal, Sacramento baseline) but have not been cross-checked against per-monitor AQS site-level averages.

The n = 3 basins is a deliberately small sample; three points cannot distinguish structural ladder performance from noise. Treat this table as an independent-window sanity check, not a second fully-powered validation.

The 0.24 scenario-to-observed scale is a free parameter — it represents an assumed 2-year fraction of the T2 full-scenario fleet turnover. The L3/L4/L5 pass at the 1.5 ppb gate holds for scales 0.20–0.30; outside that band, L4 LA basin would flip above the gate. Finalized 2024 DV values and a formal per-monitor AQS re-ingest will be published once the CARB 2024 Almanac is released.

Basin Observed Δ (2022–2024) L2 ISRM (2-yr) L4 CMAQ (2-yr) Fused (2-yr) Verdict
LA Basin-0.50-0.44+0.50+0.27|bias| < 1.5
SJV+0.20-0.57-0.82-1.11|bias| < 1.5
Sacramento Valley-0.80-0.41-0.23-0.50|bias| < 1.5

Mean |bias| across basins: L1 2.34, L2 0.41, L3 0.42, L4 0.86, L5 0.84 ppb. Gate: L3+ mean |bias| ≤ 1.5 ppb. L3 / L4 / L5 all pass.

Independent Window · Preliminary Pass

Under the preliminary LA −0.5 / SJV +0.2 / Sacramento −0.8 ppb targets, L3–L5 mean absolute bias stays below the 1.5 ppb gate — consistent with the regime-aware fidelity structure surviving a second window. A finalized CARB 2024 per-monitor ingest is the authoritative test.

Method Detail

Multi-Fidelity Monte Carlo

Each level contributes both a central estimate and a published uncertainty envelope (L1 ±15%, L2 ±10%, L3 ±12%, L4 ±8%, L5 met-coupled RMS). Kennedy–O’Hagan autoregressive cokriging (Kennedy & O'Hagan 2000) fits an AR1 model in sample-mean space, then returns a precision-weighted posterior anchored by the L5 high-fidelity envelope:

y_{l+1} = ρ_l · y_l + δ_l,  ρ_l = ∑ y_l y_{l+1} / ∑ y_l²,  posterior μ = (∑ π_l · y_l + π_5 · y_5) / (∑ π_l + π_5)

MFMC pays for a handful of L4/L5 runs and still recovers a posterior that captures the regime flip. Phase 1 would have required ~300 CMAQ simulations per scenario; the MF overlay gets the same answer from ~6 anchor points (one per basin per scenario).

Sources: Seinfeld & Pandis 2016 (L1); Goodkind et al. 2019 PNAS (L2 ISRM ozone); Heo et al. 2017 ERL (L3 InMAP); Jin et al. 2020 EST (L4 CMAQ isopleths); Hogrefe et al. 2018 (L5 WRF-Chem met envelope); Kennedy & O'Hagan 2000 Biometrika (AR1 cokriging); Turner et al. 2016 (ozone CRF); CARB Almanac 2023 Table 7-2 (AQS).

Implication for the portfolio. Inv 04's optimal T2+B2 portfolio credits T2 with a linear ozone co-benefit. This overlay says the co-benefit is ~60% smaller and concentrated in SJV/Sacramento — the equity picture changes. LA Basin T2 alone, without concurrent VOC controls, is a health loss on ozone. The combined portfolio still stands on PM2.5, but the ozone story needed chemistry.