Fig. 2: Sulfate abundances and isotopic compositions of river water.

Plots of a (Ca2++Mg2+) versus sulfate concentrations, b sulfur versus oxygen isotopic compositions of sulfate, and c oxygen isotopic compositions of sulfate versus of water. Dashed lines with slopes of 1 and 2 in a represent carbonate weathering by sulfuric acid with the production of DIC (Eq. (S10) in Supplementary Methods) and gas CO2 (Eq. (S11) in Supplementary Methods), respectively. Isotopic compositions of sulfate from seawater (or evaporite), pyrite originally from microbial sulfate reduction during early diagenesis, and atmospheric deposits are plotted for comparison in b. The dashed lines in c represent the source contribution for oxygen in sulfate produced by pyrite oxidation with oxygen incorporated from the atmospheric oxygen or the water molecule. Detailed modeling approaches are described in Supplementary Note 1.