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D  (cm .s ) = diffusion constant for CO    consumption  by  silicate  weathering  can  be   500-m.y. increments to calculate standard
                 –1
               2
          CO
                                          2
           2
         in air (=0.162); α (fraction) = ratio of diffu-  calculated from stoichiometry of Equations   deviations as the height of the open box
         sion constant for CO  in soil divided by dif-  1–4 and carbon consumption by apatite   (Fig. 3).
                        2
         fusion constant for CO  in air (=0.1, range   weathering from stoichiometry of Equation 5.
                           2
         0.08–0.12); L (cm) = original depth to water                           STEPWISE BIOTIC ENHANCEMENT
         table (after decompacted using Equation 6).  DATABASE, ERROR CALCULATIONS,  OF WEATHERING
          The duration of soil formation in years   AND ALTERNATIVES              The results of mass transfer calculations of
         (A in k.y.) can be calculated from carbonate   Detailed accounts of each of the paleosols   paleosols ranging back in age to 3700 Ma
         nodule diameter (D in cm: r  = 0.57, s.e. = 1.8,   used in the compilation for these calcula-  show three orders of magnitude increases in
                             2
         p = <0.001) for calcareous soils (Retallack,   tions have all been published elsewhere:   nutrient depletion of both phosphorus and
         2005), or thickness of profile (T in cm: r  =   citations and component data, including   alkali and alkaline earths, but on different
                                        2
         0.79, s.e. = 140, p = 0.01) for non-calcareous   error estimates for individual profiles, are   time schedules (Figs. 3A–3B). Most of the
         unconformity paleosols (Markewich et al.,   listed in the supplemental material . Criteria   range of alkali and alkaline earth depletion
                                                                       1
         1990):                              for  quality  of  data  outlined  by  Rye  and   was achieved by the Great Oxidation Event
                                             Holland (1998) were used to select paleosols   (GOE) of 2.45 Ga, but phosphorus depletion
                            .

                    A           D 0 34 ,  (12)  for the compilation. Full petrographic and   rose markedly at both the GOE  and the
                       3 92
                        .
                                             geochemical data, as well as bulk density   Neoproterozoic Oxidation Event (NOE) of 0.8
                 A  4 915.                  . .  (13)  determinations, were essential for all hori-  Ga. These changes may reflect increased rates
                        T
                           343 4
                                             zons (Equations 7 and 8). Also needed was   of nutrient procurement due to increased
          Mean annual precipitation (P in mm) can   evidence of at least moderate development,   biological productivity at those times.
         be obtained by the CIA-K proxy, effectively   such as argillic, calcic, or gypsic horizons   Alkali and alkaline earth depletion rose
         a chemical index of alteration without diage-  (Retallack, 2013, 2018, 2022b). To be   steadily from 3.5 to 2.4 Ga under acid-sulfate
         netically problematic K (I as mole fraction:   included,  paleosols had to  have  chemical   weathering by anaerobic bacterial soil micro-
         r  = 0.72, s.e. = 182, p = <0.0001; Sheldon et   weathering demonstrated by tau analysis   biomes (Retallack, 2018; Retallack et al.,
         2
         al., 2002), or compaction-corrected depth to   (Brimhall et al., 1992). Weakly developed,   2016), now restricted to waterlogged soils
         calcic horizon (D in cm: r  = 0.52, s.e. = 147,   gleyed, and inadequately documented paleo-  and playa lakes (Benison and Bowen, 2015).
                            2
         p = <0.0001; Retallack, 2005):      sols were not included. The paleosol data-  Alluvial paleosols from 3.5 to 3.0 Ga contain
                                             base includes profiles on bedrock unconfor-  desert roses of sulfate minerals, such as bar-
                   P   221 1  e 0 0197 I  ,  (14)  mities (Rye and Holland, 1998), as well as   ite and gypsum, as evidence for weathering
                            .
                         .
                                             within sedimentary sequences (Retallack,   by strong sulfuric acid rather than weak car-
             P                          D 0 0132 .  (15)  2013, 2018, 2022b). Virtually all  suitable   bonic acid (Retallack, 2018; Retallack et al.,
                   24
                       .
                       64
                137
                   .
                         5
                              .
                                  2
                                             Precambrian paleosols are included in   2016). The microbiome of desert rose paleo-
          The normalized value of  μmol  F.cm .  the  database, along with most suitable   sols dated to 3.0 Ga is permineralized with
                                         2
         mm .a , where  F is the sum of the four   Phanerozoic paleosols for which data was   silica, and its microfossils, analyzed for cell-
            –1
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         alkaline and alkaline earth bases, or μmol   available. Errors for the calculations were   specific carbon-isotopic-composition, reveal
         G.cm .mm .a , where  G is the sum of   based on standard errors of transfer func-  an anaerobic community of purple sulfur
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             2
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         phosphorus depletions, become proxies for   tions (Equations 12–15) and Gaussian error   bacteria, actinobacteria, and methanogens
         global CO  consumption if multiplied by   propagation from partial derivatives of   (Retallack et al., 2016).
                 2
         modal mean annual precipitation, which is   transfer equations summed in quadrature as   Other paleosols in the data set formed in
         764 mm in the modern world, with a stan-  outlined by Retallack et al. (2021).  humid climates on bedrock (supplemental
         dard error of 704 mm (Beck et al., 2005).   Some of the transfer functions used are   material [see footnote 1]) and were thick,
         This modal mean annual precipitation may   compromised by other variables: Equations   clayey profiles, with little evidence of solu-
         have changed in deep time, but the current   14 and 15 for paleoprecipitation include   ble salts (Rye and Holland, 1998). These do
         understanding of paleoprecipitation from   components of temperature (Sheldon et al.,   not stand out as anomalies in Figure 3 com-
         paleosols  shows mainly arid to subhumid   2002) and paleoproductivity, respectively   pared with paleosols with soluble salts
         estimates (Retallack, 2013, 2018; Retallack   (Breecker and Retallack, 2014), which con-  (Retallack, 2022c) because they were nor-
         et al., 2016), comparable with today (Beck   tribute to cited standard errors. Warmth and   malized for mean annual precipitation
         et al., 2005). Estimates of exposed land area   high precipitation can also compromise age   (Equations 12–13) and duration of forma-
         in deep time are from published areas  of   estimates of paleosols using nodule size   tion (Equations  14–15). CO  consumption
                                                                                                       2
         continental crust and hypsometric curves   (Retallack, 2005) and depth of weathering   rates of Paleoproterozoic and Archean
         (Cawood and Hawkesworth, 2019). These   (Markewich et al., 1990), again within stan-  paleosols are  too low (Fig. 4) to explain
         changing land areas were proportionally   dard error of the data used for the transfer   paleotemperatures under a faint young sun
         scaled to a modern land area of 148,429,000   function. Although individual paleosol   (Kasting, 2010). Likely sulfur bacteria and
         km ,  and  carbon  consumption  to  modern   depletion rate standard deviations were   methanogens in paleosols support the idea
           2
         global  silicate  weathering  (Ciais  et  al.,   small, the variance of estimated depletion   that other greenhouses gases, such as meth-
         2013) of 0.3 PgC.a  (Pg = 10 g). Carbon   rates is large, so rates were pooled by   ane, ethane, and SO , formed a greenhouse
                        –1
                                 15
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         1 Supplemental Material. Table S1. Base and phosphorus depletion and paleoenvironments of 97 well-studied paleosols. Go to https://doi.org/10.1130/GSAT.S.20126417
         to access the supplemental material; contact editing@geosociety.org with any questions.
         6  GSA TODAY  |  December 2022
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