GenGHG v1.0: A generative machine learning emulator of greenhouse-gas atmospheric transport around global emission hotspots
Abstract. Dense greenhouse-gas (GHG) observations, particularly from satellites, require fast atmospheric transport models that link surface emissions to these observations. We introduce GenGHG, a generative machine learning (ML) model that emulates footprints from the Stochastic Time-Inverted Lagrangian Transport (STILT) model. These footprints estimate how a unit of emissions would alter a downwind atmospheric measurement. Unlike existing deterministic ML emulators, which give a single prediction, GenGHG predicts an ensemble of plausible footprints under given meteorological forcing conditions to represent stochastic atmospheric transport. GenGHG retains ML-level computational efficiency, with each member generated in less than 2 s on a single GPU, and we evaluate its generative advantage over deterministic ML across a benchmark of 60 urban areas worldwide. Results show that GenGHG preserves footprint total mass substantially better than deterministic ML, with a mean relative bias of +2.67 % compared with −22.38 %, and also better preserves the footprint-value distribution. Grid-level accuracy also shows that GenGHG better captures spatial footprint patterns, with larger gains in more dispersive transport regimes. We further test GenGHG’s advantage in a synthetic inverse modeling experiment, where transport from GenGHG yields methane emission estimates that closely follow the STILT transport reference and outperform deterministic ML. Finally, we highlight GenGHG’s compatibility with any global meteorology product at a 0.25° resolution. This flexibility, combined with its low computational cost, makes it straightforward to run footprints using multiple meteorology products and subsequently evaluate the possible effects of meteorological uncertainties.
The article describes an innovative method of emulating LPDM footprints, leveraging flow-matching based generative models that have been shown successful in meteorological and other applications. I believe this paper is of excellent quality, and almost ready for publication.
The central idea is well motivated, proposing a generative model that builds on documented limitations and strategies of existing deterministic emulators. Accelerating LPDM emulation is a timely task to leverage the large amounts of satellite measurements. The results are evaluated through a nice range of metrics, and compared against the outputs of a deterministic version of the model as a benchmark. The dataset is also a contribution in its own right, given the large amount of locations and dates included. The synthetic out-of-sample inversion experiments illustrate well the downstream application, and the cross-product comparison is a useful demonstration of the potential of a fast emulator where the full physics runs are prohibitive.
There are three main areas that I believe need a bit more development:
Other questions the authors might consider addressing:
Typos and smaller comments