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REACT: Physically and Chemically Consistent Reconstruction of Marine Active Tracers
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Proposes REACT, a carbon-first framework that transports a latent carbonate state with an advection-diffusion solver, corrects it with a learned source module, decodes pH, and enforces carbonate-equilibrium closure, improving sea-surface pH reconstruction on MOM6-COBALTv2 simulations and WOD/SOCAT observations.
Problem
Reconstructing global sea surface pH from sparse observations while keeping it consistent with carbonate chemistry and source-free DIC conservation; existing physics-guided models treat pH as a passive tracer.
Approach
Transport a latent carbon (DIC-like) state with a conservative PDE rather than pH itself, add a learned active source correction for non-conservative carbon-cycle effects, decode to pH, and penalize carbonate-equilibrium inconsistency and source-free DIC mass drift.
Key results
- On month-to-week at 1% sampling, REACT reduces pH NRMSE by 14.7% and Chem. error by 24.0% over the strongest baseline (NUTS).
- On real WOD/SOCAT observations, REACT obtains pH NRMSE 5.25e-3 vs 5.68e-3 for 4DVarNet (about 7.6% reduction).
- Ablation on month-to-week at 0.11%: removing the source module raises pH error from 4.08e-3 to 5.79e-4 scale comparison; mass constraint reduces local drift from 8.84 to 2.26 per mille.
Surprising findings
- Adding the chemical constraint slightly worsens pH error while improving carbonate closure, a trade-off the authors call small.
- Removing pCO2 as an auxiliary input raises pH error roughly 3.7-fold, showing pCO2 is the most critical input.
Limitations
- Evaluated only on pH; extension to other active tracers left to future work.
- Chemical constraint trades slight pointwise pH accuracy for carbonate closure.
- Theoretical guarantees rely on identifiability and realizability assumptions (A1-A3).
Experimental setup
Datasets: MOM6-COBALTv2 simulation World Ocean Database (WOD) Surface Ocean CO2 Atlas (SOCAT)
Benchmarks: MOM6-COBALTv2 month-to-week MOM6-COBALTv2 week-to-day WOD/SOCAT real sparse observations
Metrics: pH NRMSE Chem. carbonate closure error Drift_local Drift_global
Baselines: Kriging (exponential) Kriging (spherical) 4D-Var Marble FNO U-Net ViT NUTS AtmoRep Prithvi WxC 4DVarNet
Builds on: NUTS 4DVarNet ViViT FNO
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