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TABLE 1. COMPARISON AND SUMMARY OF ESTIMATES OF ENDOGENIC CO  FLUXES
                                                                                   2
         Flux type           Magnitude                Method(s) for estimation                  Reference(s)
                              (Mt/yr)
         Cretaceous continental arcs   1              Area distribution of skarn                 This study
          (Sierra Nevada batholith)
         Cretaceous continental arcs   4–58  Analogue decarbonation model with Sierra Nevada batholith stratigraphy  This study
          (North America)
         Cretaceous continental arcs   85–127         Mass balance calculation                 Lee et al. (2013)
          (global)
         Contact metamorphism in   0.7–11             Reactive transport model                 Chu et al. (2019)
          continental arcs (global)
         Mid-ocean ridges (global)  53–97  a Geochemical analysis of mid-ocean ridge basalt glasses;  measurement   a Marty and Tolstikhin (1998)
                                                                           b
                                                                c
                                       of noble gas fluxes at mid-ocean ridges;  geochemical analyses of emitted   b Hilton et al. (2002)
                                                           d
                                       volatiles from mid-ocean ridges;  petrologic analysis of basaltic magmas  c Fischer (2008)
                                                                                         d Dasgupta and Hirschmann (2010)
         Continental rifts      4                    Gas efflux measurements                   Lee et al. (2016)
         Mountain building    13–440   a Petrologic and geochemical measurements of exhumed metamorphic rocks;   a Kerrick and Caldeira (1998)
                                     b geochemical analysis of groundwater draining active mountain belt;  geochemical   a Skelton (2011)
                                                                              c
                                        analyses of hydrothermal fluids in active mountain belts;  thermodynamic   b Chiodini et al. (2000)
                                                                         d
                                          modeling (P-T-t path calculations) of exhumed metamorphic rocks  c Becker et al. (2008)
                                                                                            d Stewart and Ague (2018)
         fluxes appear weakly correlated with pCO    other endogenic fluxes necessary, such as   ACKNOWLEDGMENTS
                                          2
         from 200 Ma to present (Wong et al., 2019).   organic carbon oxidation or continental rift-  J. Muller and J. Ryan-Davis helped with digitizing
         From our predictions, we find that the con-  ing (e.g., Lee et al., 2016)? Between these   maps for area calculations. We thank C.-T.A. Lee for
         nection between metamorphic  CO  fluxes   contrasting scenarios, the unifying question   comments on an early draft of the paper, two anony-
                                                                                mous reviewers for thorough suggestions, and M. Ducea
                                    2
         from continental arcs and atmospheric   concerns the thresholds at which metamor-  for careful editorial handling. All MATLAB codes used
         pCO  is tenuous (Fig. 3D). Beyond the simi-  phic CO  fluxes can be attributed to the   in the analogue model and for figure generation can be
            2
                                                   2
         lar decreases from the Cambrian toward the   development of past climates, if at all.  found  in  the  GitHub  repositories  of  the  first  author:
         present and the shared relative maxima   Of  all  time  periods on  Earth,  the  Cre-  https://github.com/ejramos/skarn_model and https://
         prior to the Devonian, atmospheric  pCO    taceous period likely represents a time in   github.com/ejramos/Phanerozoic_decarbonation.
                                                                                National Science Foundation grant NSF-OCE-1338842
                                          2
         and metamorphic CO  fluxes appear dis-  which enhanced continental  arc  metamor-  awarded to Lackey, Barnes, and others as part of the
                          2
         connected and cannot be wholly compared   phism promoted a hothouse climate. The   Frontiers in Earth Systems Dynamics program sup-
         without knowledge of other fluxes.  emergence of deep-water calcifiers in the   ported this work.
          Nonetheless, times where the correlation   Triassic (e.g., Ridgwell and Zeebe, 2005),
         between metamorphic CO  fluxes and atmo-  increases in granitoid addition rates, dou-  REFERENCES CITED
                            2
         spheric pCO  are weakest can be leveraged   bling in length of continental arcs that inter-  Ague, J.J., 2000, Release of CO  from carbonate
                                                                                                       2
                  2
         to explore the operation of other Earth sys-  sect crustal carbonates (Lee et al., 2013),   rocks during regional  metamorphism  of litho-
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         and 270 Ma during icehouse conditions in   within circum-Pacific batholiths (e.g., Lee   0091-7613(2000)28<1123:ROCFCR>2.0.CO;2.
         the Permian, metamorphic CO  fluxes   and Lackey, 2015) support the plausibility   Aiuppa, A., Fischer, T.P., Plank, T., and Bani, P.,
                                   2
         remain high while atmospheric pCO  is low.   of elevated metamorphic  CO  fluxes con-  2019, CO  flux emissions from the Earth’s most
                                                                    2
                                    2
                                                                                        2
         This time interval  also  coincides with the   tributing to hothouse climate conditions in   actively degassing volcanoes, 2005–2015: Scien-
         waning stages of Pangea formation. Despite   the Cretaceous. Our model predicts maxi-  tific Reports, v. 9, no. 1, article no. 5442, https://
                                                                                  doi.org/10.1038/s41598-019-41901-y.
         elevated metamorphic fluxes, could atmo-  mum values for aureole  volume  fractions   Baumgartner, L.P., and Ferry, J.M., 1991, A model
         spheric  pCO   have  remained  low  because   during the Mesozoic (Fig. 3B), purporting   for coupled fluid-flow and mixed-volatile miner-
                   2
         generation of relief during supercontinent   an increased proportion of aureole decar-  al reactions with applications to regional meta-
         assembly enhanced silicate weathering (e.g.,   bonation. The average metamorphic CO    morphism: Contributions to Mineralogy and Pe-
                                                                              2
                                                                                                               .
         West et al., 2005)? Instead, could there have   flux from arcs during the Cretaceous ex-  trology, v. 106, no. 3, p. 273–285, https://doi org/
                                                                                  10.1007/BF00324557.
         been prolonged organic carbon burial as   ceeds estimates for mid-ocean ridge CO    Becker,  J.A.,  Bickle,  M.J.,  Galy,  A.,  and  Holland,
                                                                              2
         equatorial regions remained hot and humid   fluxes (60 Mt/yr; Wong et al., 2019). Unless   T.J., 2008, Himalayan metamorphic CO  fluxes:
                                                                                                             2
         and forests proliferated (Ronov, 1982)? For a   CO  fluxes from continental rifts or oxida-  Quantitative constraints from hydrothermal
                                               2
         contrasting example, in Permian–Triassic   tion of organic matter were significant in   springs: Earth and Planetary Science Letters,
         time after Pangea’s assembly, atmospheric   magnitude  during  the  Cretaceous,  conti-  v.  265, no.  3–4,  p.  616–629,  https://doi.org/
                                                                                  10.1016/j.epsl.2007.10.046.
         pCO  increases while metamorphic CO    nental arc metamorphism likely contributed   Berner, R.A., and Caldeira, K., 1997, The need for
                                          2
            2
         fluxes drop by a factor of 2. Does atmo-  the largest fraction of CO  of all endogenic   mass balance and feedback in the geochemical car-
                                                                2
         spheric pCO  increase because the aridifica-  fluxes. With further quantifications of en-  bon  cycle:  Geology,  v.  25,  no.  10,  p.  955–956,
                  2
         tion of continental interiors inhibits silicate   dogenic CO  fluxes and their variation   https://doi.org/10.1130/0091-7613(1997) 025<0955:
                                                       2
         weathering? If so, can modest CO  outputs   through time, benchmarked against known   TNFMBA>2.3.CO;2.
                                   2
         from continental arcs with diminished sili-  climatic changes, the role of tectonic out-  Bowman, J.R., 1998, Stable-isotope systematics of
                                                                                  skarns, in Lentz, D.R., ed., Mineralized intrusion-re-
         cate weathering fluxes be enough to increase   gassing in the evolution of Earth’s climate   lated skarn systems: Quebec, Mineralogical Associa-
         atmospheric  pCO  by a factor of 2, or are   will become increasingly clear.  tion of Canada, Short Course Series, v. 26, p. 99–145.
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