Extended Data Fig. 2: COPSE model results comparing different hypotheses (DOM oxidation by sulfate only, elevated organic-matter recycling, elevated weathering by uplift, elevated weathering by volcanism) for the observed changes in ocean P during the SE.

a,A,I,i, Relative increase in sulfate addition versus background flux. b,B,II,ii, Phosphorus concentration in seawater ([P]sw). c,C,III,iii, Relative atmospheric oxygen concentration (pO2). d,D,IV,iv, Degree of ocean anoxia (Anoxia). e,E,V,v, Modelled marine carbonate carbon-isotope composition (δ13Ccarb). Note that in panel E, the δ13Ccarb reflects the δ13C of pore water DIC, not oceanic δ13C. f,F,VI,vi, Modelled marine sulfate sulfur-isotope composition (δ34Ssulfate). g,G,VII,vii, Modelled marine carbonate uranium-isotope composition (δ238Ucarb). For the DOM oxidation hypothesis, we run the COPSE model with a DOM reservoir 30 times the size of the modern marine DIC reservoir and the C:P of the DOM reservoir is 1,000, whereas the C:P of organic matter in the organic-matter recycle model is 250 (see Supplementary Information 6 for more details). PAL, present atmospheric level.