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than volcanics.

      The process of subduction generates elevated fO2 in both melts and mantle lithologies, though the mechanism and locus of this shift remains debated. The extent to which arc rocks are oxidized relative to MORB does not correlate with crustal thickness or indices of crystal fractionation. Degassing may oxidize or reduce magmas to small extents (< 0.2 log units) so long as melts are captured at pressures > 500 bar, and the tendency for shallow degassing (< 200 bar) to reduce magmas appears universal across all tectonic settings. Plate recycling may also enable plumes to achieve their elevated fO2 relative to mid‐ocean ridges; however, when attempting to project back to near‐primary compositions, the fO2 of plume lithologies is uncertain. This is because plume volcanics have thus far only constrained fO2 minima, and because plume xenoliths derive from lithospheric mantle that was generated at distal mid‐ocean ridges that have subsequently metamorphosed and are variably overprinted by the passage of transiting plume‐derived melts.

      Several additional challenges confront a more complete understanding of oxygen fugacity as a function of tectonic setting. Geographic coverage of fO2 estimates remains poor, with peridotites from ridges, volcanic rocks and xenoliths from plumes, and primitive volcanic rocks from arcs especially so. Further sampling of primitive melts and mantle lithologies from diverse tectonic environments is needed in order to illuminate the geodynamic and compositional origins of variable fO2 across tectonic settings. Analytical challenges must still be overcome. Some of the most promising samples for the elucidation of redox processes – melt inclusions – are difficult to prepare and susceptible to radiation beam damage (Cottrell et al., 2018). Experiments and models are needed to gain insights into processes that may shift the fO2s recorded by melts and residues during partial melting of the source and after melt and residue separate. Additional observations of natural samples and new experiments and models are required to ultimately connect the fO2 recorded by partial melts, peridotites and pyroxenites, and the fO2 of the solid convecting mantle.

      We thank Oliver Shorttle for providing his XANES data reprocessed using the updated calibration of Zhang et al. (2018). We are grateful to Paolo Sossi, Frank Spera, and an anonymous reviewer for thoughtful, detailed, and constructive comments that greatly improved this contribution. We thank Roberto Moretti and Daniel Neuville for organizing the monograph and for extending the invitation to submit. EC thanks the Lyda Hill Foundation for support during preparation of this manuscript.

      OXYGEN FUGACITY CALCULATIONSVolcanics

       a. Magnetite‐Ilmenite Pairs

Schematic illustration of temperatures and values of fO2 from the model of Ghiorso and Evans (2008) and all magnetite–ilmenite pairs and used in this study. Schematic illustrations of XANES spectra of MORB glass VG3385 with spectra of mid-ocean ridge basalt equilibrated over a range of fO2, modified from Fig. 1 of Cottrell and Kelley (2011).

       b. Fe3+/∑Fe ratios from XANES

      We calculate magmatic fO2s from measured Fe3+/∑Fe ratios using Kress and Carmichael (1991) and referenced to the QFM oxygen buffer of Frost (1991) at one atmosphere and 1200 °C, using the major element compositions reported by each study. For studies that quantify Fe3+/∑Fe ratios using the standard glasses of Cottrell et al. (2009; see Table 3.1), we have recalculated those Fe3+/∑Fe ratios according to a revision of the Mössbauer‐determined Fe3+/∑Fe ratios of those standard glasses (Zhang et al., 2018). Oliver Shorttle (pers. comm.) provided us with his revised Fe3+/∑Fe ratios based on the Zhang et al. (2018) update.

Schematic illustrations of the measured experimental furnace fO2 in log units relative to the QFM buffer for Borisov et al. (2018)’s recent compilation of 435 controlled-atmosphere experiments vs the fO2 predicted by three fO2 parameterizations.

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