Determine whether gas supply builds the neutral reservoir
Determine whether the gas supply through the surrounding 1–2 virial-radius shell builds the halo’s intrinsic neutral-hydrogen reservoir and thereby affects ignition, using a regression analysis that quantifies the link from shell gas supply to reservoir formation.
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The HI reservoir is the decisive'' step here (it is what actually predicts ignition). Meanwhile, the dashed bypass -- traversing directly from the shell-gas supply to ignition, markedinsufficient'' -- performs worse as a direct predictor of ignition. This does not rule out an indirect effect through the reservoir: the middle link, from gas supply to reservoir, carries no label, because unlike the other three it is not backed by a regression statistic in this paper. We defer such an investigation to future work.
By requiring a resolved gas component, our sample already pre-selects for cosmic-web and backsplash stripping survivors. This paper's nature-over-nurture verdict therefore applies to halos that have already retained enough gas to be resolved; it cannot determine whether environment instead governs that earlier retention stage, where its effect may be strongest.