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** Department of Earth and Planetary Science, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA
* Institute of Marine and Coastal Sciences and Department of Geological Sciences, Rutgers University, 71 Dudley Road, New Brunswick, New Jersey 08901, USA; kfennel{at}marine.rutgers.edu
| ABSTRACT |
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| INTRODUCTION |
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Oxygenation has been conceptualized as a three-stage process (Walker and others, 1983; Kasting and others, 1992). In the first, reducing stage during the Archean, the ocean-atmosphere system was essentially free of oxygen except for trace amounts derived from high energy photolysis of water coupled to hydrogen escape to space (Catling and others, 2001). Even after the advent of oxygenic photosynthesis free oxygen levels in the atmosphere would have remained low for as long as the supply of reduced substances (H2, CO, H2S from volcanoes and Fe2+ from hydrothermal inputs at oceanic ridges) exceeded the net production of oxygen (Holland, 1994), except in localized microenvironments in the ocean (for example, in stromatolitic mats; Buick, 1992). At some point during the Archean or early Proterozoic, either the supply of reduced substances decreased or net oxygen production increased, or both, such that oxygen began to accumulate in the atmosphere and surface ocean, while the deep ocean remained anoxic. This simultaneous presence of an oxidized surface and reduced deep ocean signifies stage two. Data from red beds (Chandler, 1980), cyanobacterial microfossils (Knoll, 1996), detrital mineral deposits (Des Marais and others, 1992), biomarkers (Summons and others, 1999; Brocks and others, 1999) and sulfur isotopes (Farquhar and others, 2000; Bekker and others, 2004) indicate that the second stage had began by 2300 Ma.
The third stage is characterized by an oxidized deep ocean and was probably initiated by a decrease in the supply of reductants to the deep sea and/or a further increase in the rate of oxygen production. Transition from the second to the third stage has conventionally been assumed to coincide with the disappearance of banded iron formations (BIFs)the formation of which requires anoxic deep waterat 1800 Ma (Holland, 1984). In a different interpretation based on Proterozoic sulfur isotope data, Canfield (1998) suggests that the BIFs disappeared due to rising sulfide levels and that the deep ocean remained anoxic until about 800 Ma (Canfield and Teske, 1996). Recent molybdenum isotope data supports this view (Arnold and others, 2004). Despite these different interpretations of when the deep ocean became oxidized, it appears that it did remain anoxic for several hundred million years (Myr) after oxygenic photosynthesis became established.
The accumulation of oxygen in the atmosphere is generally thought to have resulted from permanent burial of organic matter (see, for example, Des Marais and others, 1992). An alternative and not mutually exclusive hypothesis involves the escape of hydrogen to interplanetary space (Catling and others, 2001; Holland, 2002). Catling and co-workers suggested that methane photolysis in the upper atmosphere coupled with hydrogen escape to space increased the oxidation state of the atmosphere. However, this mechanism does not explain the large change in isotopic composition of carbonates at the time, which is consistent with burial of organic carbon in the lithosphere (Des Marais and others, 1992). Regardless of the mechanism, a gradual increase of the overall oxidation state of the mantle would have decreased the supply of reductants to the ocean and atmosphere (Holland, 2002).
In discussions of why the deep ocean remained anoxic for so long, the geochemistry of carbon, sulfur and iron are generally considered, and a shift in the balance between the influx of reductants to the deep ocean and the rate of oxygen supply is invoked. Nitrogen cyclingalthough highly relevant to the rate of net oxygen productionis generally ignored. In a discussion of the evolution of the nitrogen cycle, Falkowski (1997) suggested that with oxygen becoming available in the early Proterozoic: (i) the balance between N2 fixation and denitrification would have shifted toward denitrification, and (ii) the decrease in the availability of iron would have diminished N2 fixation. Both of these environmental changes would have contributed to a reduction of the fixed inorganic nitrogen inventory in the ocean, resulting in a limitation of photoautotrophic production, and, hence, a slowdown of oxygen evolution. Limitation of N2 fixation by trace metals in a sulfidic ocean after the disappearance of BIFs was further contemplated by Anbar and Knoll (2002). Here we explore the possibility that feedbacks between the nitrogen, oxygen and carbon cycles posed a major constraint on oxygenating the deep ocean by changing the balance between N2 fixation and denitrification.
Over 99 percent of the nitrogen on Earths surface is N2 gas, which must be reduced to the level of ammonium in order to be assimilated by organisms for protein synthesis. The reduction is biochemically catalyzed by nitrogenases, a heterodimeric group of closely related enzymes found in a small number of taxonomically diverse procaryotes. Nitrogenases contain iron-sulfur clusters that are essential for catalytic activity. Upon exposure to molecular oxygen, the iron-sulfur clusters become oxidized and the enzyme is irreversibly inhibited. Numerous strategies have evolved to protect nitrogenase from exposure to molecular oxygen; all strategies ultimately decrease the efficiency of the process. Nonetheless, once ammonium is formed, in the presence of molecular oxygen it is oxidized by nitrifying bacteria to form nitrite and nitrate. Denitrification, resulting from the anaerobic reduction of nitrate by heterotrophic bacteria, regenerates N2. In the evolution of the nitrogen cycle, a feedback emerged when oxygenic photosynthesis led to the production of free oxygen. Whereas under anoxic conditions oceanic ammonium would have been relatively stable, with rising oxygen concentrations in the ocean, coupled nitrification-denitrification would have provided a conduit for the loss of fixed nitrogen from the oceans in a sub- or anoxic water column, and in reducing sediment environments. Hence a paradox emerges: if the anoxic/oxic transition led to a loss of fixed nitrogen from the oceans, how did oxygenic photoautotrophs continue to supply molecular oxygen without a supply of an essential nutrient?
To examine the dynamic interactions between the nitrogen, oxygen and carbon cycles, we have developed a simple box model that incorporates the fundamental features of biogeochemistry, ocean circulation and ocean-atmosphere gas-exchange.
| MODEL CONCEPT AND DESCRIPTION |
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Concept
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A central assumption of our model is that N2 fixation is metabolically more expensive compared to the assimilation of fixed forms of nitrogen. This assumption is based on the high energy demand of N2 fixation. (Note that although the reduction of N2 to 2 NH3 is exothermic, the reaction requires a huge investment in activation energy to break the triple N
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While our model resolves the sources and sinks of fixed nitrogen (N2 fixation, burial and denitrification), we have significantly (and purposefully) simplified the phosphorous cycle. The source of phosphorous (weathering) and sinks (adsorption onto iron oxides and formation of apatite) are not included explicitly. The only loss of phosphorous in the model is through burial of organic matter, which we assume to be balanced by a continuous re-supply of phosphate, essentially conserving the total ocean phosphorus inventory. Oxygen sources and sinks, related to the production and remineralization of organic matter and nitrification, are resolved; however, other sinks of oxygen due to, for example, continental weathering and the oxidation of hydrothermal reductants, are not accounted for explicitly in this model. Although most of the presented simulations neglect external oxygen sinks such as the inflow of mantle reductants, we examine the effect of this flux in a final simulation by prescribing an external oxygen sink that decreases over time. While this treatment is clearly a simplification, it allows us to assess the effect of such unresolved oxygen sinks on nitrogen cycling.
Aspects of our model formulation have been used previously. For example, box models with a similar spatial set-up (a high latitude and low latitude surface ocean, a deep ocean and an atmosphere) have been used by Toggweiler and Sarmiento (1985) and Christensen (1994) in order to explore the partitioning of CO2 between the atmosphere and ocean during glacial and interglacial intervals. Toggweiler and Sarmiento (1985) focused on the relative roles of overturning circulation and biological carbon export in determining atmospheric CO2 levels. Christensen (1994) expanded their model by including a shallow continental shelf box and by considering nitrogen cycling and denitrification. Both studies explored only steady-state solutions to the model equations. There are parallels in the time-dependent representation of biogeochemical processes in the model presented here and that of Lenton and Watson (2000a, 2000b) who also considered the coupling between carbon, nitrogen, phosphorous and oxygen cycling. However, their model does not resolve any circulation processes or shallow shelves and, most significantly, does not explicitly represent ammonium and nitrification, which are necessary elements of our hypothesis.
Our model represents features commonly neglected in models of early oxygen evolution, in particular an oxygen-dependent nitrogen cycle, while simplifying factors that have been explored previously, for example, sulfur, iron and phosphorous cycling (see, for example, Holland, 1984; Canfield, 1998; Canfield and others, 2000). Likewise, we have simplified or excluded a number of biogeochemical processes, such as the feedback of oxygen on the efficiency of organic matter burial. Also, for the sake of heuristic simplicity, ocean circulation and mixing parameters and the phosphate inventory are imposed as constant values over the entire simulation period. The highly idealized nature of the model allows us to perform integrations of hundreds of millions of years duration, and to explore sensitivities to certain processes and parameters.
Parameterizations
The model state variables are nitrate (NO3,i), ammonium (NH4,i), phosphate (PO4,i) and oxygen (O2,i) concentrations defined in each of the ocean boxes i (i = shelf, high latitude, low latitude, deep ocean), and the atmospheric oxygen mixing ratio, AO2. The time rate of change of the state variables is given by
![]() | (1) |
Ocean advection and mixing are described by
![]() | (2) |
Export production is supported by fixed nitrogen and N2 fixation (export = E1 + E2). The fraction of export production based on fixed nitrogen (E1) is parameterized by a prescribed maximum export rate, µ1, and limited by either fixed nitrogen or phosphate depending on their relative abundances:
![]() | (3) |
![]() | (4) |
![]() | (5) |
Organic matter produced in the surface boxes is instantaneously exported, remineralized and buried. Remineralization of phosphate in the deep ocean follows
![]() | (6) |
z(deep)/z*) which assumes an exponential vertical profile for the decay of organic matter with z* as the length scale. Nitrogen remineralization is partitioned between the aerobic and anaerobic pathway depending on the anoxic fraction, fanox, which represents the volume fraction of the deep ocean that is suboxic or anoxic. We parameterize the suboxic/anoxic fraction as an exponential function of the deep oxygen concentration (fanox = exp(O2,deep/kanox)). While the form of this parameterization is unconstrained, it seems likely that the volume of anoxic waters is related to the mean deep ocean oxygen concentration. In the oxic fraction, (1 fanox), of the deep ocean, remineralization consumes and regenerates nitrate. In the suboxic or anoxic fraction, fanox, ammonium is regenerated and nitrate is consumed. If nitrate concentrations are too low to support anaerobic remineralization, we assume that the oxidation of organic matter is facilitated by other electron donors, for example, sulphate. Thus organic matter can always be oxidized in the model, though the active oxidant may vary. The parameterizations of aerobic and anaerobic nitrogen remineralization then follow as
![]() | (7) |
![]() | (8) |
![]() | (9) |
![]() | (10) |
![]() | (11) |
Gas exchange of oxygen between the surface ocean and atmosphere is parameterized simply as a Newtonian damping towards the saturation concentration, that is
![]() | (12) |
, is on the order of one year. The model is integrated using a Runge-Kutta solver with adaptive stepsize control (Press and others, 2002).
| RESULTS AND DISCUSSION |
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Two Principal Modes of Model Behavior
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In simulation B a critical threshold is reached at which nitrate starts to accumulate leading to an increase in organic matter export and net oxygen production and ultimately to the oxygenation of ocean and atmosphere (fig. 3). This critical point is determined by the oxygen concentration at which the rates of nitrification and denitrification are equal (as illustrated in fig. 4). Both nitrification and denitrification are functions of oxygen. As oxygen concentrations increase, the nitrification rate increases and the denitrification rate decreases (fig. 4). At low oxygen concentrations the denitrification rate exceeds nitrification, hence all produced nitrate is denitrified. Only when oxygen levels increase to the point where nitrification exceeds denitrification (at 11 µM O2 for the normalized rates shown in fig. 4), does nitrate accumulate. In simulation A, a critical ratio between aerobic and anaerobic mineralization without net oxygen production is reached before nitrification exceeds denitrification. Hence the system gets locked in the low nitrogen, low oxygen state. In simulation B net oxygen production is sufficient to push the model into the regime, which favors nitrification and further oxygenation.
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Model Sensitivity
The rate of oxygenation of the ocean and atmosphere in our model is strongly determined by the size of the continental shelf box (fig. 3). This dependency results from the higher burial efficiency of organic matter on the shallow continental shelf, which leads to higher net oxygen production. Without burial, oxygen evolution during the photosynthetic production of organic matter would be balanced by oxygen consumption during its mineralization. The distribution of organic matter in the water column is determined by the mineralization of sinking matter and is well approximated by an exponential decay function with depth (Suess, 1980; Martin and others, 1987). Consequently, the fraction of exported organic matter that reaches the sea floor and can be buried is a function of the depth of the water column. Our model calculates the burial fraction of organic matter based on this exponential decay with a given e-folding scale. Burial of organic matter in our model is hence more efficient on the shallow continental shelves than in the deep ocean. A relative increase in shelf area thus leads to an increase in organic matter burial and consequently in net oxygen production. In the narrow shelf case (simulation A; 200 km) the ocean gets locked in a steady state in which neither oxygen nor fixed nitrogen levels increase. In this case the fixation of nitrogen is balanced by denitrification and net oxygen production is zero. In case of a wider shelf (simulation B; 400 km) the relative increase in organic matter burial is sufficient to overcome the nitrification-denitrification sink.
Let us now examine sensitivity to the phosphate inventory, the denitrification and nitrogen fixation parameters, and vertical mixing by perturbing each of these parameters from their "standard" values for both cases discussed above, that is, for a shelf width of 200 km and a shelf width of 400 km (see list in table 2). The sensitivity in the model is assessed by comparing the steady state concentration of atmospheric oxygen in cases where a steady state is reached, and the duration until atmospheric oxygen levels reach 20 percent in cases where the systems becomes oxygenated (figs. 5A and 5B).
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Forced Simulations
We have seen that due to the non-linear interaction between export production, oxygen evolution, nitrification and denitrification the ocean-atmosphere system can have two dramatically different stable states, namely a low oxygen, low nitrogen state in which the photosynthesis and net oxygen production are depressed, and an oxidized state. Net oxygen production depends on factors like the ratio of export production to burial of organic matter, and the rate of oxygen consumption during nitrification, both of which can be affected by the models spatial configuration and model parameters (for example, a large shallow shelf, a large phosphate inventory, and efficient N2 fixation favor oxygenation). At the oxic/anoxic transition the ocean-atmosphere system likely moved through a phase of low nitrogen availability, and possibly got locked in the low nitrogen, low oxygen state for several hundred million years until at least one crucial factor changed to favor oxygenation. For example, changes in sea level and phosphate availability could have been the result of enhanced tectonic activity at the beginning and end of the Proterozoic (Braiser and Lindsay, 1998).
We performed three forced simulations where the shelf width changed over time. In the first simulation (F1) all parameters are chosen as in table 1, and the shelf width gradually increases from 100 km at the start of the simulation to 400 km after 100 Myr, followed by a gradual decrease (fig. 7). The second simulation (F2) uses the same parameters as in F1, but assumes that the shelf width increases only to 300 km width. The third simulation uses an increased phosphate inventory (2 µM instead of the 0.2 µM in F1 and F2), but the same history of shelf width as F2. The resulting evolution of the oceanic N:P ratio and the atmospheric oxygen concentration are given in figure 7. In all three simulations the system is initially locked in the low nitrogen, low oxygen state (with different steady state levels of atmospheric oxygen). In F1 the increase of shelf width to 400 km results in a large enough increase of organic matter burial and oxygen production to push the system out of this state into oxygenation. However, an increase in shelf width to only 300 km is not sufficient as demonstrated in F2. Simulation F3 essentially repeats F2 but with an increased oceanic phosphate inventory. In this case the atmosphere and ocean become oxygenated as the shelf width approaches 250 km. These results highlight the critical role of tectonic processes (sea-floor spreading rates), which control eustatic sea level and shallow shelf sea area, in determining the rate of oxygenation of the oceans.
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The Role of an External Oxygen Sink
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This simulation produces three biogeochemical stages over time: (i) a reduced deep ocean, (ii) a low nitrogen ocean, and (iii) a fully oxidized ocean. In the initial stage, when the surface ocean and atmospheric oxygen levels are low and the deep ocean remains anoxic, ammonium is a stable nutrient and abundant. In the second, low nitrogen stage, when oxygen is low but present in the deep ocean, neither ammonium nor nitrate are stable and the ocean is severely nitrogen limited. In the third, fully oxidized stage, nitrate is stable and abundant. We infer that in the process of oxidizing the Proterozoic ocean the system had to go through a phase where neither form of fixed nitrogen was stable, which must have resulted in severe limitation of phytoplankton production and, hence, represented a negative feedback on oxygen production.
| CONCLUSIONS |
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The history of organic matter burial can be inferred from sedimentary records of the
13C signal of carbonates (for example, Des Marais and others, 1992). Relatively large variations in
13C of carbonates have been reported at the beginning (before 1850 Ma) and the end (after 1250 Ma) of the Proterozoic eon, both times of increased oxidation of the biosphere, but variations in the intervening interval are relatively small (Knoll and others, 1986; Kaufman and Knoll, 1995; Buick and others, 1995; Karhu and Holland, 1996; Braiser and Lindsay, 1998; Bartley and others, 2001). The mid-Proterozoic stasis has been suggested to indicate low overall productivity due to a change in nutrient regime (Anbar and Knoll, 2002). We propose that such a change in nutrient regime could have resulted from the negative feedback of the nitrogen cycle on the early evolution of oxygen and our model results are consistent with this hypothesis. Major continental rifting and orogenesis appear to have occurred after 1250 Ma, ending the stasis in carbonate
13C (Braiser and Lindsay, 1998). An increase in sea level and in phosphate inputs could have resulted from the tectonic activity. Our model system is sensitive to such changes, in particular, increases in shallow shelf area and phosphate inventory can lead to net oxygen production consistent with the apparent increase of Earths oxidation state at that time (Des Marais and others, 1992).
Evidence for Proterozoic changes in the nitrogen cycle, which we suggest would have had a major influence on the oxidation of the earth, should be recorded in the nitrogen isotopic composition of sedimentary organic matter because denitrification results in an isotopic fractionation of nitrogen between the atmosphere and ocean. While there is no marked fractionation during N2 fixation, denitrification preferentially returns 14N to the atmosphere thus enriching the oceanic nitrogen inventory in 15N, which is recorded by marine organisms. Unfortunately, 15N records from the Archean and early Proterozoic are sparse. Available measurements of nitrogen isotopic composition from Archean and Proterozoic sedimentary rocks show a shift of the average
15N from negative values in the early Archean (3500 3400 Myr) to positive values in the early Proterozoic (2100 1600 Myr) but also a large range of values from 7 to 30 percent (Papineau and others, 2005, and references therein). The shift to more positive values has been interpreted as evidence that denitrification began to control the biospheric nitrogen isotope distribution when the oxidation state of the ocean increased at about 2500 Myr ago (Beaumont and Robert, 1999). In contrast, Jia and Kerrich (2004) suggested the positive
15N values to be the result of a secondary Archean atmosphere derived from CI-chondrite-like material and comets with
15N of 30 to 42 permil. Filling the time gap between upper Archean and the Paleoproterozoic data that are currently available would be of great value, allowing a more critical evaluation of the role of the nitrogen cycle in the rise of oxygen on Earth.
| ACKNOWLEDGEMENTS |
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