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Mineralogical constraints on pCO2

ARISING FROM M. T. Rosing, D. K. Bird, N. H. Sleep & C. J. Bjerrum Nature 464, 744–747 (2010)

Rosing and others1 recently proposed a new model for the early either the formation and preservation of mineral phases out of Earth’s atmospheric composition. They suggest, on the basis of thermodynamic equilibrium with the ambient ocean–atmosphere mineral assemblages in sedimentary rocks, that atmospheric CO2 system or secondary/metamorphic alteration. Although we do not and CH4 concentrations have been consistently overestimated. This suggest that a single depositional model applies for all BIF occurrences proposal is intriguing, given that high concentrations of these gases throughout the Earth’s history, we do contend that many of the basic are traditionally considered to be the solution to the ‘faint young Sun processes operating during their formation (microbial Fe oxidation/ paradox’ of why the Earth did not freeze over in our Sun’s youth when reduction, organic-matter remineralization in sediments, and meta- solar luminosity was greatly decreased. Rosing and others1 instead morphism) are pervasive if not ubiquitous and should be con- invoke a decreased planetary albedo during the Earth’s early history. sidered in any attempt to relate BIF mineralogy to atmospheric New insights into this problem, which has long captivated those composition. interested in the Earth’s early climate and biological history, are Rosing et al.1 rightly point out that some previous work (see references welcome. However, we believe that the arguments presented by in ref. 1) based on mineral stability in palaeosol profiles has also sug- 1 Rosing and others for roughly modern values of the partial pressure gested low pCO2 values. However, this work contrasts with experi- 14 of CO2 (pCO2 ) are not robust. mental studies , indicating that mineral stability as a function of pCO2 A fundamental assumption in the model of Rosing and others1 is that during the formation of ancient soil profiles is not fully understood. 1 the coexistence of the mineral phases (FeCO3) and Nonetheless, the numerical model proposed by Rosing et al. has a (Fe3O4) in banded formations (BIFs) represents an assemblage number of important implications. For example, by implicitly linking that is nearly in thermodynamic equilibrium with the atmosphere, the Earth’s planetary albedo to the oxidation state of the atmosphere, the placing stringent constraints on the partial pressures of both CO2 model may provide a new mechanism for explaining the inception of and H2. The mineralogy of some BIFs is dominated by FeCO3 (ref. widespread glaciation following changes in atmospheric 2), whereas others have mineralogies dominated by ferric content. Such considerations are novel and will be fruitful to 3 phases . However, in well-studied BIFs with mixed Fe3O4–FeCO3 examine, and it is likely that any explanation for the clement early Earth phases (such as the Kuruman, Hamersley and Old Wanderer iron will involve a complex interplay of forcings and feedbacks. However, 4,5 formations), carbon and iron isotope work indicates that these we conclude that early Precambrian atmospheric pCO2 levels remain minerals did not precipitate in isotopic equilibrium with the ocean. poorly constrained and that increased levels of atmospheric gases Therefore, diagenetic conditions controlled mineral formation; there (CO2,CH4,C2H2) remain a compelling solution to the ‘faint young is evidence for an initial rain of ferric and secondary formation Sun paradox’. of reduced and mixed-valence iron minerals during early or later-stage 4,5 . This is important given that dissimilatory iron-reducing Christopher T. Reinhard1 &NoahJ.Planavsky1 bacteria generate Fe3O4 even at very highP aqueous carbon dioxide 1Department of Earth Sciences, University of California, Riverside, concentrations and headspace values of [ CO2] < 50 mM (ref. 6) Riverside, California, USA. < and pCO2 0.2 atm (ref. 7). Mixed Fe3O4–FeCO3 assemblages develop e-mail: [email protected] as a result of an imbalance between rates of non-reductive ferric oxide 21 31 21 dissolution, Fe transport, and rates of Fe –Fe conversion6–8. Received 13 April 2010; accepted 26 January 2011. Therefore, pCO values very much above the modern value do not 2 1. Rosing, M. T., Bird, D. K., Sleep, N. H. & Bjerrum, C. J. No climate paradox under the preclude the formation of magnetite. faint early Sun. Nature 464, 744–747 (2010). In addition, the authors assume that both the atmospheric partial 2. Goodwin, A. M. Geochemical studies at the Helen . Econ. Geol. 59, pressure and aqueous concentration of H2 will be controlled by hydro- 684–718 (1964). genotrophic methanogenesis. However, the preservation of ferric 3. Hofmann, A. The geochemistry of sedimentary rocks from the Fig Tree Group, Barberton : implications for tectonic, hydrothermal and surface oxides, together with a paucity of organic carbon in most BIFs, strongly processes during mid-Archaean times. Precambr. Res. 143, 23–49 (2005). suggests that H2 pressures or concentrations would instead be buffered 4. Johnson, C. M., Beard, B. L., Klein, C., Beukes, N. J. & Roden, E. E. Iron isotopes most often by dissimilatory iron-reducing bacteria in BIF diagenetic constrain biologic and abiologic processes in banded iron formation genesis. Geochim. Cosmochim. Acta 72, 151–169 (2008). environments. This would decrease the aqueous concentration of H2 5. Steinhoefel, G., Horn, I. & von Blanckenburg, F. Micro-scale tracing of Fe and Si 9 significantly , changing the relevant stability boundary to Fe2O3– isotope signatures in banded iron formation using femtosecond laser ablation. FeCO3. For instance, a threshold [H2] of about 0.1 nM would yield Geochim. Cosmochim. Acta 73, 5343–5360 (2009). p estimates between about 30–100 PAL (present atmospheric level) 6. Behrends, T. & Van Cappellen, P. Transformation of into magnetite CO2 during dissimilatory iron reduction—conditions and mechanisms. Geomicrobiol. J. at 25 uC–35 uC (Fig. 1a of ref. 1). We view this as a non-trivial difference 24, 403–416 (2007). given the attendant implications for climatologically plausible CH4/ 7. Roh, Y. et al. Biogeochemical and environmental factors in Fe biomineralization: 10 magnetite and siderite formation. Clays Clay Miner. 51, 83–95 (2003). CO2 ratios and atmospheric CH4 concentrations . 8. Zachara, J. M., Kukkadapu, R. K., Fredrickson, J. K., Gorby, Y. A. & Smith, S. C. Finally, even if we were to assume a simple thermodynamic control Biomineralization of poorly crystalline Fe(III) oxides by dissimilatory metal regulated by pH2 (via methanogenesis) and pCO2 , it is unlikely that reducing bacteria (DMRB). Geomicrobiol. J. 19, 179–207 (2002). 9. Lovley, D. R. & Goodwin, S. Hydrogen concentrations as an indicator of the the coexistence of Fe3O4 and FeCO3 in BIFs provides any direct predominant terminal electron-accepting reactions in aquatic sediments. evidence regarding the chemistry of a surface ocean that is nearly in Geochim. Cosmochim. Acta 52, 2993–3003 (1988). equilibrium with the overlying atmosphere. There is overwhelming 10. Haqq-Misra, J. D., Domagal-Goldman, S. D., Kasting, P. J. & Kasting, J. F. A revised, petrographic evidence that the Fe3O4 observed in many BIFs is hazy methane greenhouse for the Earth. Astrobiology 8, 1127–1137 metamorphic or late-stage alteration product11–13. Indeed, the co- (2008). 11. Han, T.-M. Origin of magnetite in Precambrian iron-formations of low existence of Fe2O3–Fe3O4–FeCO3 assemblages and significant metamorphic grade. Proc. 7th Quadrennial IAGOD Symp. (ed. Zachrisson, E.) mineralogical variability on small spatial scales in many BIFs suggest 641–656 (1988).

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12. Krapezˇ, B., Barley, M. E. & Pickard, A. L. Hydrothermal and resedimented origins of 14. Murakami, T. et al. Anoxic dissolution processes of biotite: implications for Fe the precursor sediments to banded iron formations: sedimentological evidence behavior during Archean weathering. Earth Planet. Sci. Lett. 224, 117–129 (2004). from the early Palaeoproterozoic Brockman Supersequence of Western . Sedimentology 50, 979–1011 (2003). Author Contributions C.T.R. and N.J.P. both wrote the article. 13. Tompkins, L. A. & Cowan, D. R. Opaque mineralogy and magnetic properties of Competing financial interests: declared none. selected banded iron-formations, Hamersley Basin, . Aust. J. Earth Sci. 48, 427–437 (2001). doi:10.1038/nature09959

Low pCO2 in the pore water, not in the Archean air

ARISING FROM M. T. Rosing, D. K. Bird, N. H. Sleep & C. J. Bjerrum Nature 464, 744–747 (2010)

The solar luminosity during the Archean (3.8 to 2.5 billion ago) are found in siderite, but not in associated Ca/Mg carbonates11–13,indi- was 20–25% lower than at present, and was probably compensated, at cating that a portion of the carbon in siderite was indeed derived from a least in part, by a stronger greenhouse effect1–3. Rosing et al.4 estimate pool of isotopically light organic matter. In BIFs, magnetite was initially in the Archean partial pressure of carbon dioxide to have been about disequilibrium with the overlying CO2-rich atmosphere and was con- 23 pCO2 < 10 bar, on the basis of the simultaneous occurrence of mag- vertedtosiderite.However,theabovereactionwasonlyallowedtoproceed netite (Fe3O4) and siderite (FeCO3)inbandedironformations(BIFs,a as long as a reductant (organic matter) was available. The rain of organic 1 type of chemical sediment). Here, we question a central assumption by carbon into the sediment was not sufficient to keep pace with that of Fe3 - Rosing et al.4 that the mineralogy of BIFs reflects near-thermodynamic bearing oxide, and its exhaustion led to a mineral assemblage (coexisting equilibrium with the atmosphere–ocean system; just as the presence of magnetiteandsiderite)thatdidnotreflectequilibriumconditionswiththe authigenic in modern sediments does not imply that the modern atmosphere–ocean system. The transition from siderite to iron oxides in atmosphere is anoxic, the mineralogy of BIFs cannot be used to argue BIFs from the Campbellrand–Kuruman complex could have been caused by the decreased supply of organic material in offshore regions10. for a low-pCO2 Archean atmosphere. Carbon dioxide is therefore still a viable greenhouse gas candidate with which to explain the warm To summarize, microbial cycling and diagenesis of organic matter Archean climate. and ferric iron controlled the effective pH2 and pCO2 in the sediment. The original iron precipitate in the BIFs was probably ferrihydrite, The mineralogy of BIFs reflects these conditions, with no simple rela- tionship to atmospheric CO . Thus, p in the atmosphere may have Fe2O3?xH2O. The ferrihydrite was precipitated out of equilibrium with 2 CO2 been high enough (about 0.1 bar) to explain the warm Archean climate, the atmosphere by oxidation of upwelled ferrous iron, either by O2 produced by within the water column or by phototrophic, without the need for additional warming mechanisms. anoxygenic, iron-oxidizing bacteria. Once in the sediment, ferrihydrite was subsequently converted to a stable , either magnetite or N. Dauphas1 &J.F.Kasting2 1 haematite, or to the reduced mineral siderite. The constraint on pH2 – Origins Laboratory, Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637, USA. pCO2 derives from applying the following equilibrium reaction between magnetite and siderite: Fe3O4zH2z3CO2<3FeCO3zH2O. As dis- e-mail: [email protected] 2Department of Geosciences, The Pennsylvania State University, cussed below, pH2 is a measure of the redox potential of the system, but organic matter (CH2O) was the reducing agent in this reaction. University Park, Pennsylvania 16802, USA. 4 In the model of Rosing et al. , pH2 was controlled by methanogens. Anaerobic ecosystems of this nature have been studied by ref. 5. The Received 1 June 2010; accepted 26 January 2011. downward flux of H2 through the atmosphere–ocean interface is limited 1. Sagan, C. & Mullen, G. Earth and Mars: evolution of atmospheres and surface by its piston velocity to (1–6)3 1011 molecules cm22 s21 (Table 2 in temperatures. Science 177, 52–56 (1972). 2. Owen, T., Cess, R. D. & Ramanathan, V. Enhanced CO2 greenhouse to compensate ref. 5). The average deposition rate of Fe3O4 in BIFs is estimated to be 21 11 22 21 for reduced solar luminosity on early Earth. Nature 277, 640–642 (1979). 0.1–1 mm yr , or (40–400) 3 10 molecules cm s , assuming that 3. Walker, J. C. G., Hays, P. B. & Kasting, J. F. A negative feedback mechanism for the each microband represents one of deposition6. Suggestions that the long-term stabilization of Earth’s surface temperature. J. Geophys. Res. 86, deposition rate was much slower than this7,8 are probably biased by 9776–9782 (1981). 4. Rosing, M. T., Bird, D. K., Sleep, N. H. & Bjerrum, C. J. No climate paradox under the hiatuses in the geologic record. Reducing this iron to siderite would faint early Sun. Nature 464, 744–747 (2010). require an equal flux of H2, which is 7–400 times the downward H2 flux 5. Kharecha, P., Kasting, J. & Siefert, J. A coupled atmosphere-ecosystem model of into the ocean estimated above. Some H could have been produced the early Archean Earth. 3, 53–76 (2005). 2 6. Konhauser, K. O. et al. Could bacteria have formed the Precambrian banded iron within the sediment via fermentation, but this requires that organic formations? Geology 30, 1079–1082 (2002). matter be available. Formation of siderite without a reducing agent— 7. Pickard, A. L. SHRIMP U-Pb zircon ages for the Palaeoproterozoic Kuruman iron formation, Northern Cape Province, South Africa: evidence for simultaneous BIF thatis,bydisproportionation(Fe3O4zCO2?Fe2O3zFeCO3)—would 26 deposition on Kaapvaal and cratons. Precambr. Res. 125, 275–315 (2003). require an effective pH2 of 3 3 10 (the value at the magnetite– 8. Trendall, A. F., Compston, W., Nelson, D. R., De Laeter, J. R. & Bennett, V. C. SHRIMP haematite boundary), which is ten times smaller than the value that zircon ages constraining the depositional chronology of the Hamersley Group, Rosing et al.4 propose and is probably impossible to achieve. Western Australia. Aust. J. Earth Sci. 51, 621–644 (2004). 9. Walker, J. C. G. Suboxic diagenesis in banded iron formations. Nature 309, ProbablythereducingagentwasnotH2butorganicmatterproducedby 340–342 (1984). in the water column. A fraction of the primary production 10. Fischer, W. W. & Knoll, A. H. An iron shuttle for deepwater silica in Late Archean and of organic matter was exported from the to the sediment, early iron formation. Geol. Soc. Am. Bull. 121, 222–235 (2009). 9–12 11. Heimann, A. et al. Fe, C, and O isotope compositions of banded iron formation where microbial iron respiration could produce siderite : demonstrate a major role for dissimilatory iron reduction in ,2.5 Ga 2Fe3O4zCH2Oz5CO2?6FeCO3zH2O. Light carbon isotope ratios marine environments. Earth Planet. Sci. Lett. 294, 8–18 (2010).

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12. Craddock, P. R. & Dauphas, N. Iron and carbon isotope evidence for microbial iron Author Contributions Both authors contributed equally to this work. respiration throughout the Archean. Earth Planet. Sci. Lett. 303, 121–132 (2011). 13. Becker, R. H. & Clayton, R. N. Carbon isotopic evidence for the origin of a banded Competing financial interests: declared none. iron-formation in Western Australia. Geochim. Cosmochim. Acta 36, 577–595 (1972). doi:10.1038/nature09960

Faint young Sun paradox remains

ARISING FROM M. T. Rosing, D. K. Bird, N. H. Sleep & C. J. Bjerrum, Nature 464, 744–747 (2010)

The Sun was fainter when the Earth was young, but the climate was data for marine stratus suggest that the low end of this range is more generally at least as warm as today; this is known as the ‘faint young appropriate8). The sum is 11 W m22 to 22 W m22,withthelowend Sun paradox’. Rosing et al.1 claim that the paradox can be resolved by being most likely. making the early Earth’s clouds and surface less reflective. We show The authoritative estimate of the global energy budget9 gives global that, even with the strongest plausible assumptions, reducing cloud mean and ocean albedos of 0.125 and 0.090 respectively. The largest and surface albedos falls short by a factor of two of resolving the realistic surface darkening is from the present mean to an all-ocean paradox. A temperate Archean climate cannot be reconciled with world, which gives a radiative forcing of 5 W m22. 1 the low level of CO2 suggested by Rosing et al. ; a stronger greenhouse Increasing the CO2 mixing ratio to 1,000 parts per million by effect is needed. volume (p.p.m.v.; the upper bound according to Rosing et al.1) gives 22 1 During the Archean eon, the Earth received 76% to 83% of the a forcing of 6 W m . Rosing et al. rely on 1,000 p.p.m.v. CH4 for energy from the Sun that it does today. If the Earth’s greenhouse effect much of their warming, ignoring relevant atmospheric chemistry. As and albedo were the same as now, the Earth would have been in the partial pressure of CH4 (pCH4 ) approaches that of CO2 (pCO2 ), continual deep freeze until one billion years ago, with glaciers reach- hydrocarbon haze forms in the stratosphere, the cooling effect of ing the Equator. However, Archean glacial sediments are rare and which outweighs the greenhouse effect of CO2 and CH4 (refs 10 12 geological evidence indicates that the Archean was typically warmer and 11). Numerical models predict haze production when pCH4 / than today (we are in a glacial period now). With the amount of pCO2 5 0.1 and haze production has been seen in laboratory experi- 22 13 5 energy reaching the Earth given by F 5 JS0(1 2 a) 5 239 W m ments where pCH4 /pCO2 0.3. With 1,000 p.p.m.v. CO2, the maxi- (using the present-day solar constant S 5 1,368 and albedo mum CH4 concentration that can give warming is 300 p.p.m.v., which 0 22 a 5 0.3), the radiative deficit in the Archean would have been (1– would contribute 7 W m of additional forcing. 0.79)F < 50 W m22. Resolution of the ‘faint young Sun paradox’ Changes to clouds could in theory considerably reduce the amount requires a positive radiative forcing—from reducing the albedo or of greenhouse gases required, because gaseous absorption depends on increasing the greenhouse effect—of more than 50 W m22. the logarithm of gas abundance. But even with the highly unlikely Clouds have two competing radiative effects: they reflect sunlight but assumption of no biological CCN supply, cloud changes can provide they also add to the greenhouse effect if they are colder than the surface. only one-quarter to one-half of the required radiative forcing. Any Reflection dominates in low clouds, and the greenhouse effect domi- changes to clouds would require strong justification, which Rosing et 1 nates in high clouds. Therefore the absolute upper bound on warming al. do not provide. A strong greenhouse effect is required in the by decreasing cloud reflectivity would be found by removing low clouds Archean. The alternative is an extremely cold climate with continual entirely. This gives a forcing of 25 W m22, half of what is needed to mid- to low-latitude glaciation, for which there is no evidence. resolve the ‘faint young Sun paradox’ (our cloud model is described in the Methods). Any reduction to high clouds would cause a cooling. METHODS Rosing et al.1 justify less-reflective clouds with the incorrect state- We calculate the radiative forcing (change in net flux at the tropopause) on a single global annual mean atmospheric profile, with three layers of clouds that ments that most cloud condensation nuclei (CCN) are from biogenic overlap randomly14. The radiative fluxes on eight sub-columns corresponding to dimethyl sulphide (DMS), and that DMS is solely produced by eukar- each cloud combination are calculated with the RRTM model15. For our standard 2 22 yotes. DMS is also produced microbially . Products of DMS contribute case, cloud water paths are [Whigh, Wmid, Wlow] 5 [20, 25, 40] g m , fractions are only 3% of Northern Hemisphere CCN and 10% of Southern [fhigh, fmid, flow] 5 [0.25, 0.25, 0.40] and the surface albedo is 0.125. Standard low- 3 4 Hemisphere CCN today . Other biological and non-biological and mid-level clouds are liquid with re 5 11 mm and high clouds are ice with sources, especially sea salt, provide CCN. If CCN production were to generalized effective size of Dge 5 75 mm. For radiative forcings described in the depend only on eukaryotic DMS emissions1, we would expect to see text, the low cloud water path is varied but all other parameters are unchanged. significant cooling when eukaryotes evolved, but no such cooling is evident. Colin Goldblatt1,{{ &KevinJ.Zahnle1 Nevertheless, we can assume no biological CCN supply and quantify 1Space Science and Astrobiology Division, NASA Ames Research Center, the resulting forcing. Over the modern ocean the effective radius re of MS 245-3, Moffett Field, California 94035, USA. cloud drops rarely exceeds 15 mm (ref. 5) even in remote and unpro- {Present address: Astronomy Department and Virtual Planetary 1 ductive regions (the re of 17 mmto30mm used by Rosing et al. is too Laboratory, University of Washington, Box 351580, Seattle, Washington high). For an upper bound, we increase low cloud droplet size by 50% 98195, USA. from our standard case, from 11 mmto16.5mm. With no change in cloud e-mail: [email protected] thickness, the forcing is 7 W m22. Clouds with larger drops may rain out faster. Parameterizations of enhanced rain-out vary from propor- Received 1 July 2010; accepted 26 January 2011. 1 5.37 tional to (re,0/re) to proportional to (re,0/re) (refs 6 and 7); the 1. Rosing, M. T., Bird, D. K., Sleep, N. H. & Bjerrum, C. J. No climate paradox under the 22 corresponding extra forcing would be 4–15 W m (remote sensing faint early Sun. Nature 464, 744–747 (2010).

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2. Lin, Y. S., Heuer, V. B., Ferdelman, T. G. & Hinrichs, K.-U. Microbial conversion of 10. McKay, C. P., Lorenz, R. D. & Lunine, J. I. Analytic solutions for the anti-greenhouse inorganic carbon to dimethyl in anoxic lake sediment (Plußsee, ). effect: Titan and the early Earth. Icarus 91, 93–100 (1991). Biogeosciences 7, 2433–2444 (2010). 11. Haqq-Misra, J. D., Domagal-Goldman,S.D., Kasting, P. & Kasting,J.F.A revised,hazy 3. Woodhouse, M. T. et al. Low sensitivity of cloud condensation nuclei to changes methane greenhouse for the Archean Earth. Astrobiology 8, 1127–1137 (2008). in the sea-air flux of dimethyl-sulphide. Atmos. Chem. Phys. 10, 7545–7559 12. Domagal-Goldman, S. D., Kasting, J. F., Johnston, D. T. & Farquhar, J. Organic haze, (2010). glaciations and multiple sulfur isotopes in the Mid-Archean Era. Earth Planet. Sci. 4. Leck, C. & Bigg, E. K. Source and evolution of the marine aerosol—a new Lett. 269, 29–40 (2008). perspective. Geophys. Res. Lett. 32, L19803, doi:10.1029/2005GL023651 13. Trainer, M. G. et al. Organic haze on Titan and the early Earth. Proc. Natl Acad. Sci. (2005). USA 103, 18035–18042 (2006). 5. Bre´on, F. Tanre´, D. & Generoso, S. Aerosol effect on cloud droplet size, monitored 14. Goldblatt, C. & Zahnle, K. J. Clouds and the faint young Sun paradox. Clim. Past 7, from satellite. Science 295, 834–838 (2002). 203–220 (2011). 6. Kump, L. R. & Pollard, D. Amplification of Cretaceous warmth by biological cloud 15. Clough, S. A. et al. Atmospheric radiative transfer modeling: a summary of the AER feedbacks. Science 320, 195 (2008). codes. J. Quant. Spectrosc. Radiat. Transf. 91, 233–244 (2005). 7. Penner, J. E. et al. Model intercomparison of indirect aerosol effects. Atmos. Chem. Phys. 6, 3391–3405 (2006). Author Contributions C.G. and K.J.Z. discussed the article to which this note responds. 8. Kaufman, Y. J., Koren, I., Remer, L. A., Rosenfeld, D. & Rudich, Y. The effect of smoke, C.G. performed all model runs and quantitative analysis. C.G. and K.J.Z. both dust, and pollution aerosol on shallow cloud development over the Atlantic Ocean. contributed qualitative analysis and both contributed to writing the paper. Proc. Natl Acad. Sci. USA 102, 11207–11212 (2005). Competing financial interests: declared none. 9. Trenberth, K. E., Fasullo, J. T. & Kiehl, J. T. Earth’s global energy budget. Bull. Am. Meteorol. Soc. 90, 311–323 (2009). doi:10.1038/nature09961

Rosing, Bird, Sleep & Bjerrum reply

REPLYING TO C. T. Reinhard & N. J. Planavsky Nature 474, doi:10.1038/nature09959 (2011); N. Dauphas & J. F. Kasting Nature 474, doi:10.1038/ nature09960 (2011); C. Goldblatt & K. Zahnle Nature 474, doi:10.1038/nature09961 (2011)

Reinhard and Planavsky1 and Dauphas and Kasting2 question whether directly to the atmosphere. We note that for our estimated range of 21 31 the formation of Fe /Fe -rich sediments and the preservation of pCO2 the solubility of Fe in sea water is 1–3 mM, which is well within 13 magnetite in banded iron formations (BIFs) constrains atmospheric the range necessary for BIF formation , while at the increased pCO2 3 1 2 pCO2 . Goldblatt and Zahnle question whether reduced albedo in com- favoured by Reinhard and Planavsky and Dauphas and Kasting the bination with a slightly increased greenhouse effect could compensate maximum Fe concentrations are between two and four orders of for the reduced luminosity of the faint young Sun. Reinhard and magnitude lower and within the range of modern ocean water con- Planavsky1 and Dauphas and Kasting2 suggest that BIF mineralogy is centrations that preclude BIF formation. (We note that the 1–3 mM solely controlled by diagenetic and metamorphic processes decoupled range covers the bare Fe21 ion corrected for activity in sea water at from ocean–atmosphere chemistry. We focus on the persistent preser- siderite saturation with equilibrium constant for the reaction 21 1 vation of magnetite in all Archean BIFs, and of magnetite and siderite Fe 1 CO2, g 1 H2O 5 FeCO3 1 2H calculated in SUPCRT (see 4 in many BIFs , and estimate the partial pressure of CO2 during the ref. 5) and total Fe calculated using EQ3-6 (ref. 14) for siderite sat-

Archean (pCO2 ) using the least number of assumptions concerning uration in modern sea water, corrected to anoxic conditions and unconstrained parameters. Our conclusions5 are not undermined by assuming pH 5 8.25 buffered by basalt in accordance with ref. 15. See any geochemical data that support high pCO2 . ref. 5 for thermodynamic conventions and data sources.) Diagenesis is an open-system process driven by consumption of Reinhard and Planavsky1 suggest that siderite and haematite can

Gibbs energy through lowering the extent of chemical disequilibrium coexist at 0.1 nM H2 and pCO2 in the range 30–100 PAL at 25 uC– between the sedimentary phases and surrounding environments, 35 uC, in accord with minimum H2(aq) metabolic constraints of dis- whether biologically mediated or not. Magnetite forms in the presence similatory iron-reducing bacteria and phase relations in Fig. 1 of ref. 5. of dissimilatory iron-reducing bacteria when the pore water is super- This logic precludes the presence of magnetite in BIFs. Neglecting saturated in magnetite according to standard thermodynamic princi- observed magnetite parageneses in BIFs and selecting a value of 6,7 8,9 ples and its formation is not microbially controlled . Isotopic data H2(aq) far below the stability field of magnetite does not provide a for the Kuruman BIF requires extensive transport of Fe and C between viable geochemical constraint. Dissimilatory iron-reducing bacteria the sediment and the supernatant water by infiltration of sea water metabolism may have occurred in BIF sediments during the Archean, and molecular diffusion through interconnected pore space10.In but we are not aware of geochemical evidence suggesting that the modern sapropels ocean CO2 concentration penetrates to a depth metabolic activity of dissimilatory iron-reducing bacteria in BIF of about 15 cm in the sediment, from which point it increases more sediments controlled the composition of the Earth’s fluid envelopes. 11 than tenfold downwards . We conclude that the CO2 concentration On the contrary, the presence of magnetite and the mere formation of in the sediment pore water would have been greater than or equal to BIFs indicate that ambient ocean water had a molarity of H2 con- the supernatant water. The suggestion by Dauphas and Kasting2 and siderably greater than 10210 M, conditions under which haematite is Reinhard and Planavsky1 that diagenetic siderite formation was a the only stable Fe oxide and Fe would be practically insoluble in ocean closed-system process is not supported by the studies they quote, water, precluding aqueous iron transport sufficient to sustain BIF which call upon extensive communication with the supernatant sedimentation. water10,12. It has never been controversial that there is a large uncertainty Formation of BIFs depends not only on mechanisms for precipita- about Archean cloud forcing. Our hypothesis reiterates this speci- tion of solid Fe compounds but also on the transport efficiency of fically for an Earth with no continents, no continental dust, no dissolved iron. The saturation constraints on pCO2 and pH2 imposed by land-plant-generated secondary organic aerosols and only a few other siderite and magnetite not only pertain to the BIF, but also to the water biogenic aerosols from a low-productivity ocean (0.1 to 0.25 times the body supplying dissolved Fe to sedimentary basins, and thus couple present value16,17). The cloud physics are affected by an aerosol optical

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depth that probably showed much lower global values than today and 5Departmentof Geography andGeology,Universityof Copenhagen, Øster should be evaluated using proper general circulation models. Voldgade 10, DK-1350 København K., Denmark. Goldblatt and Zahnle3 miss the point when focusing on dimethyl sulphide from a sulphur-poor Archean ocean and sea-salt aerosols, 1. Reinhard, C. T. & Planavsky, N. J. Mineralogical constraints on Precambrian pCO2. which seem to contribute only a few per cent of the free troposphere Nature 474, doi:10.1038/nature09959 (this issue). 18 2. Dauphas, N. & Kasting, J. F. Low pCO2 in the pore water, not in the Archean air. cloud condensation nuclei . Nature 474, doi:10.1038/nature09960 (this issue). 22 The net cloud radiative effect of our model was (218 W m ) 3. Goldblatt, C. & Zahnle, K. Faint young Sun paradox remains. Nature 474, relative to 220 W m22 from satellite estimates. Our calculations doi:10.1038/nature09961 (this issue). used19 an effective radius of cloud droplets of r 5 17 mm (green solid 4. Klein, C. Some Precambrian banded iron-formations (BIFs) from around the e world: their age, geologic setting, mineralogy, metamorphism, geochemistry, and line in Fig. 2d of ref. 5) (we note that although the legend mentions origin. Am. Mineral. 90, 1473–1499 (2005). 20 mm, this was erroneous, and should have stated 17 mm; also, we 5. Rosing, M. T., Bird, D. K., Sleep, N. H. & Bjerrum, C. J. No climate paradox under the showed the line for 30 mm to show no added effect at larger droplet faint early Sun. Nature 464, 744–747 (2010). 20 6. Kocar, B. D. & Fendorf, S. Thermodynamic constraints on reductive reactions sizes). Goldblatt and Zahnle’s later published calculations use more influencing the biogeochemistry of arsenic in soils and sediments. Environ. Sci. realistic clouds, which are not very different from ours. Our model Technol. 43, 4871–4877 (2009). 19 22 values versus theirs were: re increase to 16.5 mm, 7 W m versus 7. Hansel, C. M. et al. Secondary mineralization pathways induced by dissimilatory 7Wm22; enhanced rain-out, 15 W m22 versus 4–15 W m22; aqua iron reduction of ferrihydrite under advective flow. Geochim. Cosmochim. Acta 67, 22 22 22 2977–2992 (2003). planet, 6 W m versus 5 W m ; 1,000 p.p.m.v. CO2,5Wm versus 8. Behrends, T. & Van Cappellen, P. Transformation of hematite into magnetite 22 22 6Wm . Our methane contribution was a bit high (9 W m ; ref. during dissimilatory iron reduction—conditions and mechanisms. Geomicrobiol. J. 17’s was 7 W m22) and should probably be adjusted down to 24, 403–416 (2007). 3 9. Lovley, D. R. & Goodwin, S. Hydrogen concentrations as an indicator of the 0.3 pCO2 . Rain-out of low clouds (we made no change to high predominant terminal electron-accepting reactions in aquatic sediments. 21 clouds) was calibrated to general circulation model results , and an Geochim. Cosmochim. Acta 52, 2993–3003 (1988). 18 estimated forcing three times the re forcing . Our calculations 10. Heimann, A. et al. Fe, C, and O isotope compositions of banded iron formation showed5, as subsequently stated by Goldblatt and Zahnle20, that carbonates demonstrate a major role for dissimilatory iron reduction in ,2.5 Ga marine environments. Earth Planet. Sci. Lett. 294, 8–18 (2010). ‘‘…precipitation feedback is of first order importance and must be 11. Boudreau, B. P., Canfield, D. E. & Mucci, A. Early diagenesis in a marine sapropel, treated carefully in any model addressing the climatic effect of chan- Mangrove Lake, Bermuda. Limnol. Oceanogr. 37, 1738–1753 (1992). ged particle size.’’ 12. Becker, R. H. & Clayton, R. N. Carbon isotopic evidence for origin of a banded iron- formation in Western Australia. Geochim. Cosmochim. Acta 36, 577–595 (1972). We maintain that formation and preservation of magnetite-rich 13. Konhauser, K. O., Newman, D. K. & Kappler, A. The potential significance of BIF could not take place under a high-pCO2 atmosphere. Surface microbial Fe(III) reduction during deposition of Precambrian banded iron albedo and cloud changes would have significantly decreased the formations. Geobiology 3, 167–177 (2005). Earth’s albedo and reduced the greenhouse gas concentrations needed 14. Wolery, T. J. EQ3nr. A Computer Program for Geochemical Aqueous Speciation Solubility Calculations: Theoretical Manual, User’s Guide and Related Documentation. for clement conditions on the Earth. We do not claim to have pro- Version 7.0 (Lawrence Livermore National Laboratory, 1991). vided a final and unique solution to the ‘faint young Sun paradox’, but 15. Friend, C. R. L., Nutman, A. P., Bennett, V. C. & Norman, M. D. -like trace rather demonstrate that the presence of liquid water on the young element signatures (REE1Y) of Eoarchaean chemical sedimentary rocks from southern West Greenland, and their corruption during high-grade Earth can be explained within uncertainty by constrainable para- metamorphism. Contrib. Mineral. Petrol. 155, 229–246 (2008). meters and is thus not so paradoxical. 16. Bjerrum, C. J. & Canfield, D. E. Ocean productivity before about 1.9 Gyr ago limited by adsorption onto iron oxides. Nature 417, 159–162 (2002). 1,2,3 1,2 4 17. Canfield, D. E., Rosing, M. T. & Bjerrum, C. Early anaerobic metabolisms. Phil. Trans. Minik T. Rosing ,DennisK.Bird , Norman H. Sleep & R. Soc. Lond. B 361, 1819–1834 (2006). 1,5 Christian J. Bjerrum 18. Andreae, M. O. & Rosenfeld, D. Aerosol-cloud-precipitation interactions. Part 1. The 1Nordic Center for Earth Evolution, Øster Voldgade 5-7, DK-1350 nature and sources of cloud-active aerosols. Earth Sci. Rev. 89, 13–41 (2008). København K., Denmark. 19. Kaufman, Y. J., Koren, I., Remer, L. A., Rosenfeld, D. & Rudich, Y. The effect of smoke, dust, and pollution aerosol on shallow cloud development over the Atlantic Ocean. e-mail: [email protected] Proc. Natl Acad. Sci. USA 102, 11207–11212 (2005). 2Department of Geological and Environmental Sciences, Stanford 20. Goldblatt, C. & Zahnle, K. J. Clouds and the faint young Sun paradox. Clim. Past University, Stanford, California 94305, USA. Discuss. 6, 1163–1207 (2010). 3 21. Kump, L. R. & Pollard, D. Amplification of Cretaceous warmth by biological cloud Natural History Museum of Denmark, University of Copenhagen, Øster feedbacks. Science 320, 195 (2008). Voldgade 5-7, DK-1350 København K., Denmark. 4Department of Geophysics, Stanford University, Stanford, California Author Contributions All authors contributed equally to this Reply. 94305, USA. doi:10.1038/nature09962

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