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that undergoes decarbonation in a continen-  pendants and skarns within a portion of the   both mixed carbonate-siliciclastic rocks and
         tal  arc.  The  model  simulates  two-dimen-  SNB to amounts of produced CO  along the   platform carbonates, contribute 59% of all
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         sional fluid flow, heat transfer, and fluid-  entire arc. This estimate is compared to our   generated CO . Paleozoic sections such as
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         rock oxygen isotope exchange after the   model prediction to assess its utility in esti-  the  Morrison block in the eastern SNB,
         emplacement of an intrusion as a proxy for   mating CO  fluxes.        which are composed predominantly of silici-
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         metamorphic decarbonation (further model                               clastic rocks and 23% carbonate, contribute
         setup and assumptions are described in   GROUND-TRUTHING THE           41%. Notably, this net flux agrees within 2σ
         Ramos et al., 2018, and in the Supplementary   ANALOGUE MODEL WITH THE   error of the net decarbonation estimate from
         Information ). The d O values of carbonates   GEOLOGIC RECORD FROM THE   (1) SNB skarn outcrops (1 Mt/yr) and when
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                  1
         decrease during progressive decarbonation   CRETACEOUS SNB             (2) North American sedimentary rock infor-
         (e.g., Bowman, 1998). Therefore, in each   The area distribution of skarns (Fig. 2B)   mation is used (40 Mt/yr) instead of SNB-
         simulation, we track the changes in host-rock   varies considerably along the SNB corridor   specific stratigraphic sections (Fig. 3C at ca.
         d O values during hydrothermal fluid flow   we examined, with some exposures contain-  100 Ma time marker). Although location-
         18
         to highlight areas around a magma body that   ing <10 m  of skarn and others containing >1   specific geology will always yield more
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         meet likely conditions for decarbonation.   km . The skarn area is generally dwarfed by   accurate flux estimates, these findings sup-
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         Once hydrothermal activity has ceased, the   the marble area and only comprises 4% of   port the utility of North American sedimen-
         d O values of the host rock define a volume   the total mapped area. If we assume a main-  tary rocks as a globally representative
         18
         of rock that undergoes decarbonation, which   tained skarn-marble ratio within pendants   archive of sedimentary rock types.
         we term the aureole volume.         along the entire SNB, an average carbonate
          Our numerical model considers effects of   fraction in sedimentary rocks in the arc of   PHANEROZOIC METAMORPHIC
         crustal permeability and magma volume on   20%, and skarn occurrence over 7 km of   DECARBONATION RATES
         aureole volumes. The model domain remains   depth in the SNB, we compute a total skarn   The variational growth rate of sedimen-
         constant across each simulation (i.e., V host rock    volume in the SNB of 19,000 km . This vol-  tary rock and granitoid volumes underpins
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         + V intrusion  = constant; Fig. DR3, see footnote   ume, if decarbonated over a 40 m.y. time   the changes in decarbonation rates in conti-
         1). A series of model runs predicts aureole   interval, produces an average CO  flux of ~1   nental arcs through time (negative slope of
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         volumes as a function of intrusion volume   Mt/yr. This value, which excludes CO  from   lines in Fig. 3A). Once corrected for erosion
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         and crustal permeability where the largest   calc-silicates and marbles and fluxes from   (assuming an erosional half-life of 400 m.y.
         volumes of decarbonated host rock (V aureole )   magma degassing and assimilation, is five-  sensu Cao et al., 2017), sedimentary rocks
         are at intermediate relative intrusion vol-  fold less than measurements of modern   from North America, granitoids (from Cao
         umes (Fig. 2A). Effectively, as magma vol-  global continental arcs that intersect plat-  et al., 2017), and their volumetric distribu-
         umes exceed the volume of host rock in an   form carbonates (5 Mt/yr; Aiuppa et al.,   tions grow unsteadily. Cambrian through
         arc, the aureole volume diminishes, concom-  2019) and nearly two orders of magnitude   Devonian time (542–400 Ma) is marked by
         itant to a diminished aureole decarbonation   less than previous estimates for net CO    similar rates of growth of different rock
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         flux. This result counters common thought,   fluxes from all Cretaceous continental arcs   types, highlighting the voluminous deposi-
         where continental arc flare-ups (i.e., times of   (Lee et al., 2013; Lee and Lackey, 2015). This   tion of carbonate throughout the Phanerozoic.
         maximum intrusion volume) are thought to   disparity can largely be attributed to the   The volume of mixed carbonate-siliciclastic
         be times of maximum CO  output from arcs   sparse distribution of metamorphic pendants   rocks surpasses that of pure carbonate by lat-
                            2
         (Lee and Lackey, 2015).             in the SNB and the difficulty of computing   est Pennsylvanian (ca. 300 Ma) when the
          The mineralogy of the host rocks in which   assimilation fluxes from the geologic record.   growth rate of siliciclastic rocks increases
         the magma intrudes controls the magnitude   Thus, this skarn CO  flux is considered a   well beyond all other rock types. Sediment
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         of the decarbonation flux it produces. We   minimum estimate for metamorphic CO    deposition rates plateau in the Triassic (245–
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         thus amass magma addition rates and sedi-  fluxes from the Cretaceous SNB.  206 Ma) after the assembly of Pangea (Cao et
         mentary rock information—including rock   When sedimentary rock volumes and pro-  al., 2017) and subsequently increase upon its
         types, depositional ages, and stratigraphic   portions from SNB-specific sites (Fig. DR2,   breakup in the Jurassic (ca. 180 Ma). Car-
         thicknesses—for the SNB and the entirety of   see footnote 1) are compared with granitoid   bonate  and  mixed  carbonate-siliciclastic
         North America. Details about how we com-  volumes emplaced in North America from   rocks grow in volume in the Cretaceous but
         pare sedimentary and magma volumes   125 to 85 Ma (Cao et al., 2017), we predict   are dwarfed by increases in the siliciclastic
         through time are given in the Supplementary   the net metamorphic CO  flux from North   deposition rate. These trajectories of growth
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         Information, but in short, our model predicts   American arcs to be 32.3 ± 28.4 Mt/yr during   remain constant through the Cenozoic.
         a metamorphic CO  flux—which includes   the Cretaceous, with 13% of the flux deriv-  Change in area addition rates of granitoid is
                        2
         CO  produced via metamorphism in the   ing from assimilated wall rock and 87%   out of phase with the deposition of sedimen-
           2
         aureole and by assimilation of host rock in   coming from decarbonation in the aureole   tary rocks (Fig. 3A). Globally, granitoid vol-
         the intrusion—based off this volume com-  (see Supplementary Information for further   umes grow at a roughly consistent rate until
         parison. Independent of the model, we com-  details  on the  flux  calculation). Western   the breakup of Pangea, whereupon their
         pute a CO  flux for the Cretaceous SNB by   SNB rocks, typified by the Triassic–Jurassic   cumulative volumes grow rapidly. Continental
                2
         scaling the area distribution of metamorphic   Kings Sequence (Fig. DR2), which contains   arc activity in North America is quiescent
         1 GSA Data Repository item 2020150, including model descriptions and data sources for rock type information, is available online at https://www.geosociety.org/
         datarepository/2020.
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