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LETTERS PUBLISHED ONLINE: 19 JANUARY 2014 | DOI: 10.1038/NGEO2070 Significant contribution of authigenic carbonate to marine carbon burial Xiaole Sun* and Alexandra V. Turchyn Carbon is removed from the Earth’s surface through the formation and burial of carbon-bearing rocks and minerals1,2 . The formation of calcium carbonate and its burial in marine sediments accounts for around 80% of the total carbon removed from the Earth’s surface. However, the fraction of calcium carbonate that precipitates in the oceans, versus that which precipitates authigenically in marine sediments, is unclear. Here, we compile measurements of the calcium concentration of pore fluids collected at 672 seafloor sites around the globe to calculate the global flux of calcium within marine sediments. We use these data, combined with alkalinity measurements of pore fluids, to quantify authigenic calcium carbonate precipitation. We estimate that the net calcium flux into marine sediments that can be ascribed to authigenic carbonate precipitation amounts to around 1 × 1012 mol yr−1 . As such, we estimate that authigenic carbonate precipitation accounts for at least 10% of global carbonate accumulation. We show that much of the precipitation occurs along the eastern margins of ocean basins, where organic matter delivery to the sea floor is likely to be high. We suggest that authigenic calcium carbonate precipitation represents a non-negligible component of the global carbon cycle. The long-term carbon cycle refers to the exchange of carbon between Earth’s surface environment and the vastly larger subsurface reservoir1,2 . Carbon is supplied to the surface through volcanism and metamorphism, and is removed from the surface through the formation, burial and subsequent lithification of carbon-bearing rocks and minerals1,2 . Specifically, the burial of calcium carbonate and organic carbon in marine sediments is the largest sink for carbon from Earth’s surface environment3–5 . However, deposition of calcium carbonate and organic carbon on the ocean floor does not guarantee burial because of the highly dynamic environment within marine sediments6,7 . Most organic carbon deposited on the ocean floor is ultimately consumed through microbially mediated oxidation, releasing a large excess of dissolved inorganic carbon into marine sediments8,9 . This dissolved inorganic carbon may diffuse back into the overlying ocean, or may drive in situ precipitation of calcium carbonate, called authigenic carbonate10 . The precipitation of authigenic carbonate has recently been invoked as a critical process in the carbon cycle over Earth history; however, the amount of authigenic carbonate precipitation in the modern ocean has not been quantified10,11 . This lack of quantification for in situ carbonate production in the modern ocean generates a major deficit in any budget for the global carbon cycle. Here we carry out the first global scale calculation of the flux of authigenic carbonate precipitation and deep carbonate dissolution to help fill in the missing pieces in the subsurface carbon cycle. We carry out this calculation using pore fluid calcium concentrations because sample handling and subsequent analytical challenges compromise interrogating aqueous carbon species directly. Calcium is the main cation involved in the trapping of dissolved inorganic carbon as authigenic carbonate, including dolomite, in marine sediments. We employ the pore fluid database from various ocean drilling programmes (Deep Sea Drilling Program, DSDP; Ocean Drilling Program, ODP; Integrated Ocean Drilling Program, IODP) in which we have found 672 sites that have high-quality aqueous calcium concentration data, and cover the world’s ocean floor. The rate of change in calcium concentrations in pore fluids with depth below the sea floor reflects the rate of the processes in the sediments that are producing or consuming calcium (Methods). We find that the magnitude of calcium flux, both positive and negative, varies across the oceans, showing strong regional heterogeneity (Fig. 1a). We find 330 sites where calcium concentrations in the pore fluid decrease with depth (Fig. 1b); at these sites there is a subsurface sink for aqueous calcium. However, there are 342 sites where calcium concentrations in the pore fluids increase with depth; at these sites there is a source of calcium in the subsurface that diffuses back into the overlying ocean (Fig. 1b). By comparing the calcium pore fluid profiles with the initial reports for each site we are able to ascribe the calcium flux within marine sediments to various subsurface processes (Fig. 2). At 309 sites, there is strong evidence for precipitation of authigenic carbonate. Alkalinity (mainly in the form of the bicarbonate ion, HCO3 − ) is produced through organic matter oxidation, coupled in deep-sea sediments largely to bacterial sulphate reduction9,12 : 2CH2 O + SO4 2− → 2HCO3 − + H+ + HS− Alkalinity is also produced during anaerobic methane oxidation13 : CH4 + SO4 2− → HCO3 − + HS− + H2 O The increase in subsurface alkalinity, coupled to the relatively high pH during anaerobic organic carbon oxidation, leads to carbonate supersaturation, driving carbonate precipitation: Ca2+ + 2HCO3 − → CaCO3 + CO2 + H2 O Precipitation of one mole of calcium carbonate consumes one mole of aqueous calcium and two moles of carbonate alkalinity. We would expect the largest amount of authigenic carbonate precipitation in locations with the largest microbial respiration rates. Indeed, we find the largest downward flux of calcium within sediments in coastal areas, specifically the eastern margins of the ocean basins where primary production is particularly high and there is high delivery of organic carbon to marine sediments6,14 . Department of Earth Sciences, University of Cambridge, Cambridge CB2 3EQ, UK. *e-mail: [email protected] NATURE GEOSCIENCE | VOL 7 | MARCH 2014 | www.nature.com/naturegeoscience © 2014 Macmillan Publishers Limited. All rights reserved 201 NATURE GEOSCIENCE DOI: 10.1038/NGEO2070 LETTERS s e nt di m Lower Ca flux into se 30° N nto s Depth (mbsf) 60° N edim en ts b Higher Ca flux i a 90° N 0° 0 5 30° S 1.0 2.0 150° E 180° Depth (mbsf) 120° E 5.0 mmol m¬2 yr¬1 0 20 e n ts 0.5 90° E e dim 0.2 60° E of s 0.0 30° E o f s e di m e nts ¬5.0 ¬2.0 ¬1.0 ¬0.5 ¬0.2 0° o ut 30° W ux 60° W ut Ca flux o 150° W 120° W 90° W a fl rC he Hig L ower 60° S 180° 10 Calcium concentration (mmol l¬1) 40 Figure 1 | The net flux of authigenic carbonate precipitation and dissolution in marine sediments. a, Global distribution of the calcium flux within marine sediments; dots are the locations of studied sites; positive values (yellow areas) represent areas that have a net precipitation of authigenic carbonate; negative values (grey areas) represent areas where calcium concentrations increase in the subsurface and calcium diffuses out of sediments. b, Schematic examples of pore fluid calcium concentration profiles in marine sediments. The slope of the change in calcium concentrations with depth (mbsf, metres below the sea floor) is related to the magnitude of the flux of calcium within marine sediments. 180 Number of sites 150 120 Carbonates Alterations of basement and volcanic ash Non-carbonates Ion exchange Unable to interpret 90 60 30 0 ¬5.0 ¬2.0 ¬1.0 ¬0.5 ¬0.2 0.0 0.2 0.5 1.0 2.0 5.0 Higher calcium flux out of sediments Higher calcium flux into sediments Flux (mmol m¬2 yr¬1) Figure 2 | Frequency distribution of the calcium flux within marine sediments. The sources and sinks of calcium within marine sediments include carbonate dissolution and precipitation (black), alteration of basement and volcanic ash (dark grey), dissolution of other calcium-bearing minerals (mainly gypsum, anhydrite, apatite, brine and so on; horizontal lines) and ion exchange (vertical lines). Calcium profiles at a few sites show little variation along depth and are labelled as ‘unable to interpret’ (light grey). We also calculate the alkalinity flux within marine sediments to compare with the calculated calcium flux. If every mole of alkalinity produced within marine sediments was consumed by molar equivalent carbonate precipitation, we would expect no change in alkalinity with depth but a decrease in calcium concentrations with depth. Instead, we find a linear correlation between the flux of authigenic calcium carbonate precipitation within marine sediments and the alkalinity flux out of marine sediments (focusing only on the flux of those sites that are dominated by precipitation of calcium carbonate, Fig. 3). This illustrates that in the modern ocean 202 there is an excess of alkalinity produced to carbonate precipitated in marine sediments. We cannot parse the alkalinity flux into the relative microbial process, which may be a combination of bacterial sulphate reduction and anaerobic methane oxidation, or other processes. The alkalinity flux at the deeper sites is, on average, lower than the coastal regions. Many regions of the world are not characterized by precipitation of authigenic carbonate within sediments, but rather a diffusive calcium flux out of marine sediments; this is particularly the case in the pelagic ocean. The source of aqueous calcium within these sediments is partly attributed to the dissolution of carbonate or other calcium-bearing minerals deeper within the sediment pile15 and alteration of basement and volcanic ash. The increase in pore fluid calcium concentrations does not preclude authigenic carbonate precipitation within these sediments, but suggests the subsurface processes are dominated by dissolution or other release of calcium into the pore fluid. Although calcium carbonate deposition on marine sediments has been well studied, understanding volumetrically how much is precipitated globally within marine sediments has not previously been addressed. We calculate that the net calcium flux into marine sediments is ≈1 × 1012 mol yr−1 , of which more than 90% is attributed to authigenic precipitation of calcium carbonate. This is about 7–20% of the calcium carbonate accumulation in deep marine sediments, excluding the shelf area (5–15 × 1012 mol yr−1 ); the uncertainty associated with calcium carbonate accumulation rates can be 50% (ref. 3). We also note that our calculation of authigenic carbonate precipitation must be a minimum estimate for three reasons. First, carbonate diagenesis studied in shallowest marine and marginal settings, for example Florida Bay16 and the Bahama Banks17 , could be accelerated over deeper marine settings; the ODP/IODP/DSDP programmes do not sample these shallowest settings. Second, even for the sampled areas, we do not have data for the upper 1.5 m of sediments; the ODP/IODP/DSDP programmes did not sample the uppermost sediments. The processes within this boundary NATURE GEOSCIENCE | VOL 7 | MARCH 2014 | www.nature.com/naturegeoscience © 2014 Macmillan Publishers Limited. All rights reserved NATURE GEOSCIENCE DOI: 10.1038/NGEO2070 Coastal areas Deep oceans Linear (coastal areas) Linear (deep oceans) 5 4 Increasing 3 y = 0.3x + 0.1 R2 = 0.63 y = 0.2x + 0.1 R2 = 0.87 ity 2 1 0 0 2 4 of authigenic carbonate (note that if this sulphide is reoxidized back to sulphate then there is no impact on alkalinity). However, protons are consumed during precipitation of sulphide minerals (for example, pyrite)12 : 3HS− + 3H+ + 2FeOOH → 2FeS + 4H2 O + S0 amo unt of ex ce ss n ali alk Net flux of authigenic carbonate precipitation into sediments (mmol m¬2 yr¬1) 6 LETTERS 6 8 10 12 14 Alkalinity flux out of sediments (mmol m¬2 yr¬1) Figure 3 | The calcium flux at sites dominated by carbonate precipitation versus the corresponding alkalinity flux. Data points are divided into two groups, sites from coastal areas (diamonds) and from deep oceans (crosses) with their linear regression lines (the dashed line and the solid line, respectively). layer could be different from the diffusive fluxes below; it has been suggested that oxic respiration should drive local carbonate dissolution within the boundary layer not sampled by our pore fluid database18,19 . Thus the total calcium flux to deeper sediments could be much larger than we measure. Third, in many sites where calcium concentrations decrease in the top tens of metres of pore fluids, there is a subsequent increase in calcium concentrations deeper in the sediment, suggesting two fluxes to the zone of carbonate precipitation, one from the overlying ocean and one from deeper within the sediment pile; our calculation deals only with the flux down from the surface sediments. We calculate the calcium flux diffusing back to the overlying ocean from within marine sediments at ≈0.8 × 1012 mol yr−1 , of which 20–40% is derived from carbonate dissolution. This estimate is 5–10% of the global annual input of calcium from rivers3,5 . Again, this is a minimum estimate for carbonate dissolution, because it does not include carbonate dissolution at and near the sediment–water interface. We also calculate the global excess alkalinity flux out of marine sediments at ≈5 × 1012 mol yr−1 , which is ≈15% of the global riverine alkalinity flux (30 × 1012 mol yr−1 ; ref. 20). The global alkalinity flux out of marine sediments is approximately five times higher than the net flux of authigenic carbonate precipitation within sediments. In situ carbonate formation is controlled by the carbonate saturation state, which is linked to alkalinity released during organic carbon oxidation10 . Although excess alkalinity is produced in modern marine sediments, calcium concentrations in the pore fluids are never observed to decrease to zero; calcium concentrations tend to decrease by 70–90% and remain at these low levels (2–3 mmol l−1 ). Pore fluid pH may play an important role, as the effect of pH has an order-of-magnitude effect on the carbonate ion concentration and thus dramatically impacts the carbonate saturation state within marine sediments. Organic carbon oxidation can increase or decrease pH, depending on the electron acceptor12,21 . Modern organic carbon oxidation occurs primarily through bacterial sulphate reduction, during which pH is poised at 6.7 (ref. 22). The lowering of pH from seawater values (8.1) to 6.7 decreases the carbonate ion concentration by more than two orders of magnitude, leading to conditions that are undersaturated with respect to carbonate. It could be, therefore, that sulphate reduction and accumulation of pore fluid sulphide leads to conditions that limit the formation This would help mitigate the pH decrease in sediments and promote authigenic carbonate precipitation. Thus we speculate that in marine environments characterized by iron limitation for pyrite formation, the decrease in pore fluid pH may limit the formation of authigenic carbonate22 . Below the sulphate minimum zone, anaerobic methane oxidation, converges to a pH of 7.9 (ref. 21), which would promote authigenic carbonate precipitation as recently shown by carbon isotopes preserved in authigenic carbonate in Cascadia23 . It could be that the coincident decrease in sulphate and calcium concentrations often seen in marine pore fluids is due to sulphate consumed during anaerobic methane oxidation and calcium bound into authigenic carbonate at the same depth. Our calculations strongly suggest that authigenic carbonate precipitation should be included in all calculations involving calcium carbonate accumulation in marine sediments. Subseafloor sediments are both a carbon and calcium reactor and here we demonstrate that the global ocean can be differentiated into areas where the sediments source calcium back to the ocean and areas that consume aqueous calcium into the sediments. This precipitation-induced flux of calcium and dissolved inorganic carbon is a non-negligible part of both the global biogeochemical calcium and carbon cycles. Shallow carbonate platforms, boundary layer processes and marginal marine environment, which are not represented here, could have even larger precipitation-induced fluxes of calcium; our flux calculations can be considered as a minimum estimate. These processes were necessarily different in the geological past when the oxic/anoxic boundary varied in the ocean and sediments and the aerial extent of shallow platforms was considerably larger than it is in the present. In theory, extrapolation of our global fluxes onto continental shelf environments and further reconstruction of these shelf environments in the past could yield valuable insights into the role of this process in regulating the global calcium and carbon cycles over geological time. Methods To calculate the calcium flux within marine sediments, we compile all of the available calcium concentration profiles of pore fluids acquired through the DSDP, ODP and IODP Janus database. This compilation is limited to sites with good data quality and calcium profiles starting from the uppermost sediments. The flux of aqueous calcium (mmol m−2 yr−1 ) at each site is calculated by Fick’s first law and the measured porosity from the initial reports for each site: dC F = −ϕ×DCa × dz where ϕ is the porosity of the sediments, which is calculated by averaging the porosity of each selected site. dC/dz is obtained from the first derivative of a best fit line based on the pore fluid gradient in the upper part of the sediments, that is, before the calcium concentration profiles start to inflect (see Supplementary Information for error evaluation associating with this linear regression). A positive flux means aqueous calcium diffuses into the sediments and a negative flux means aqueous calcium diffuses out of the sediments. DCa is the diffusion coefficient of calcium in pore fluids, which is corrected for sediment tortuosity using the equation24 : DCa = DSW /(1 − ln(ϕ 2 )) where DSW = 4.41 × 10−6 cm2 s−1 , the diffusion coefficient of calcium in sea water assuming average temperature of 4 ◦ C in surface sediments. Therefore, each site has a specific diffusion coefficient (DCa ) based on the porosity. We vary the exponent in the tortuosity equation from 0.5 to 3 but the calculated flux varies by only up to 50%, therefore, the exponent of ≈2 is chosen here because it has been shown NATURE GEOSCIENCE | VOL 7 | MARCH 2014 | www.nature.com/naturegeoscience © 2014 Macmillan Publishers Limited. All rights reserved 203 NATURE GEOSCIENCE DOI: 10.1038/NGEO2070 LETTERS to work well for most marine sediments25 . The flux of alkalinity for each site is calculated in the same way as the calcium flux calculations. The diffusion coefficient of alkalinity is 6 × 10−6 cm2 s−1 for bicarbonate ions in sea water assuming an average temperature of 4 ◦ C (ref. 26). Our calculation of the site-specific calcium fluxes allows us to extrapolate to the total global rates of carbonate precipitation and dissolution by making a reasonable estimate of the area covered by certain fluxes. Interpolation of the calcium flux in the entire world’s oceans is carried out using an inverse distance-weighted technique, which is a deterministic spatial interpolation method based on the assumption that the interpolating surface should be influenced most by the nearby points and less by the more distant points. This allows us to control the impact of known flux on the interpolated areas based on their distance from the sampled sites, that is, the flux of each non-sampled area is mapped using distance-weighted combination of a set of sampled sites around it. Finally the global distribution of the calcium flux is visualized by ESRI ArcMap 10.0. Afterwards, the map is divided into areas by polygons based on the magnitude of the calcium flux. The total global calcium flux is the sum of those areas multiplying the average calcium flux in each corresponding area. Received 23 July 2013; accepted 17 December 2013; published online 19 January 2014 References 1. Berner, R. A. The long-term carbon cycle, fossil fuels and atmospheric composition. Nature 426, 323–326 (2003). 2. Archer, D. The Global Carbon Cycle (Princeton Univ. Press, 2010). 3. Milliman, J. D. Production and accumulation of calcium carbonate in the ocean: Budget of a nonsteady state. Glob. Biogeochem. Cycles 7, 927–957 (1993). 4. Falkowski, P. et al. The global carbon cycle: A test of our knowledge of earth as a system. Science 290, 291–296 (2000). 5. Milliman, J. D. & Droxler, A. W. Neritic and pelagic carbonate sedimentation in the marine environment: Ignorance is not bliss. Geol. 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Worldwide distribution of continental rock lithology: Implications for the atmospheric/soil CO2 uptake by continental weathering and alkalinity river transport to the oceans. Glob. Biogeochem. Cycles 17, 1038 (2003). 21. Soetaert, K., Hofmann, A. F., Middelburg, J. J., Meysman, F. J. R. & Greenwood, J. Reprint of the effect of biogeochemical processes on pH. Mar. Chem. 106, 380–401 (2007). 22. Boudreau, B. P. & Canfield, D. E. A comparison of closed- and open-system models for porewater pH and calcite-saturation state. Geochim. Cosmochim. Acta 57, 317–334 (1993). 23. Joseph, C. et al. Methane-derived authigenic carbonates from modern and paleoseeps on the Cascadia margin: Mechanisms of formation and diagenetic signals. Palaeogeogr. Palaeoclimatol. Palaeoecol. 390, 52–67 (2013). 24. Boudreau, B. P. Diagenetic Models and Their Implementation: Modelling Transport and Reactions in Aquatic Sediments (Springer, 1997). 25. Ullman, W. J. & Aller, R. C. Diffusion coefficients in nearshore marine sediments. Liminol. Oceanogr. 27, 552–556 (1982). 26. Zeebe, R. E. On the molecular diffusion coefficients of dissolved CO2 , HCO3 and CO3 2− and their dependence on isotopic mass. Geochim. Cosmochim. Acta 75, 2483–2498 (2011). Acknowledgements This work was supported by an ERC Starting Investigator Grant (307582) to A.V.T. J. A. A. Dickson read this paper before submission and his comments greatly improved the manuscript. Author contributions A.V.T. conceived this project. X.S. conducted the calculations and data analysis. Both authors discussed the results and implications and commented on the manuscript at all stages. Additional information Supplementary information is available in the online version of the paper. Reprints and permissions information is available online at www.nature.com/reprints. Correspondence and requests for materials should be addressed to X.S. Competing financial interests The authors declare no competing financial interests. NATURE GEOSCIENCE | VOL 7 | MARCH 2014 | www.nature.com/naturegeoscience © 2014 Macmillan Publishers Limited. All rights reserved