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45 Natural Radiocarbon Distribution in the Deep Ocean Katsumi MATSUMOTO 1 and Robert M. KEY 2 1 Geological Survey of Japan, AIST, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8567, Japan 2 Atmospheric and Oceanic Sciences Program, Princeton University, Princeton, NJ 08540, U.S.A. Abstract. We present for the first time objectively mapped natural radiocarbon ( 14 C) abundance in the global deep ocean using mostly new measurements from the World Ocean Circulation Experiment (WOCE). Compared to earlier data from the Geochemical Ocean Sections Study, the new data number almost seven times more. Also, the WOCE data collected during the 1990s have sufficient spatial coverage to make objective mapping meaningful. The new natural 14 C maps clearly show the deep path of the well-known global thermohaline circulation. We compare the new maps with simulation results from three versions of the Princeton Ocean Biogeochemistry Model, as a means to illustrate how such maps can be used to constrain ocean carbon cycle models. We show that the three Princeton models, which are not necessarily atypical of currently available coarse resolution ocean general circulation models, have a wide range of behavior in simulating the deep natural 14 C distribution. Some deviate significantly from the observed in both amplitude and spatial pattern. The same models make significantly different centennial time scale projections of future anthropogenic carbon uptake by the ocean. This highlights the importance of using the new natural 14 C data to properly evaluate the performance of ocean carbon cycle models in ventilating the deep ocean. Keywords: radiocarbon, ocean general circulation model, World Ocean Circulation Experiment (WOCE), ocean ventilation, North Atlantic Deep Water, Antarctic Bottom Water, Circumpolar Deep Water, Pacific Deep Water, thermohaline circulation 1. INTRODUCTION Deep ocean circulation is difficult to characterize by observations. The ocean covers nearly 70% of the Earth’s surface area and the average depth of 3700 m make the deep ocean virtually impossible for synoptic sampling by man-powered efforts. Despite the difficulty, scant temperature observations were used to infer correctly nearly two centuries ago that the deep ocean is part of a global overturning circulation. As noted by Warren (1981), the earliest recorded subsurface temperature measurements in the open ocean were made in 1751 by Henry Ellis, captain of a British slave-trading vessel. These measurements, made in the subtropical North Atlantic, revealed that much of the deep water is cold, and warm water is confined to a thin layer near the surface. Count Rumford, who experimentally discovered convection in liquids, correctly understood that the Global Environmental Change in the Ocean and on Land, Eds., M. Shiyomi et al ., pp. 45–58. © by TERRAPUB, 2004.

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45

Natural Radiocarbon Distribution in the Deep Ocean

Katsumi MATSUMOTO1 and Robert M. KEY2

1Geological Survey of Japan, AIST, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8567, Japan2Atmospheric and Oceanic Sciences Program, Princeton University,

Princeton, NJ 08540, U.S.A.

Abstract. We present for the first time objectively mapped natural radiocarbon(14C) abundance in the global deep ocean using mostly new measurements fromthe World Ocean Circulation Experiment (WOCE). Compared to earlier datafrom the Geochemical Ocean Sections Study, the new data number almostseven times more. Also, the WOCE data collected during the 1990s havesufficient spatial coverage to make objective mapping meaningful. The newnatural ∆14C maps clearly show the deep path of the well-known globalthermohaline circulation. We compare the new maps with simulation resultsfrom three versions of the Princeton Ocean Biogeochemistry Model, as a meansto illustrate how such maps can be used to constrain ocean carbon cycle models.We show that the three Princeton models, which are not necessarily atypical ofcurrently available coarse resolution ocean general circulation models, have awide range of behavior in simulating the deep natural 14C distribution. Somedeviate significantly from the observed in both amplitude and spatial pattern.The same models make significantly different centennial time scale projectionsof future anthropogenic carbon uptake by the ocean. This highlights theimportance of using the new natural 14C data to properly evaluate the performanceof ocean carbon cycle models in ventilating the deep ocean.

Keywords: radiocarbon, ocean general circulation model, World OceanCirculation Experiment (WOCE), ocean ventilation, North Atlantic DeepWater, Antarctic Bottom Water, Circumpolar Deep Water, Pacific Deep Water,thermohaline circulation

1. INTRODUCTION

Deep ocean circulation is difficult to characterize by observations. The oceancovers nearly 70% of the Earth’s surface area and the average depth of 3700 mmake the deep ocean virtually impossible for synoptic sampling by man-poweredefforts. Despite the difficulty, scant temperature observations were used to infercorrectly nearly two centuries ago that the deep ocean is part of a globaloverturning circulation. As noted by Warren (1981), the earliest recordedsubsurface temperature measurements in the open ocean were made in 1751 byHenry Ellis, captain of a British slave-trading vessel. These measurements, madein the subtropical North Atlantic, revealed that much of the deep water is cold, andwarm water is confined to a thin layer near the surface. Count Rumford, whoexperimentally discovered convection in liquids, correctly understood that the

Global Environmental Change in the Ocean and on Land, Eds., M. Shiyomi et al., pp. 45–58.© by TERRAPUB, 2004.

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46 K. MATSUMOTO and R. M. KEY

temperatures observed by Ellis indicated that the cold deep water in the subtropicsmust derive ultimately from the polar surface waters and that there must be anoverturning circulation system that carries deep water equatorward to close theloop (Rumford, 1800). The modern version of this circulation system is of coursethe thermohaline circulation, also known as the “conveyor belt” circulation(Broecker, 1991).

A description of the conveyor belt was made possible by the radiocarbon(14C) measurements from the Geochemical Ocean Sections Study (GEOSECS) inthe 1970s (Ostlund and Stuiver, 1980; Stuiver and Ostlund, 1980, 1983). DuringGEOSECS the Atlantic, Pacific, and Indian Ocean basins were each sampled bytwo north-south transects over the course of separate two-year periods. Naturalradiocarbon, which is produced only in the atmosphere, is very useful inunderstanding the deep ocean circulation, because any natural 14C atoms foundin the ocean interior must have come by means of air-sea gas exchange andsubsequent transport within the ocean. Because 14C decays with a known half-lifeof 5730 years, its abundance in the deep ocean is a direct measure of how much14C is supplied to the deep ocean from the surface by ventilation. The GEOSECS14C data showed that the deep ocean ventilates on centennial time scale (Broeckerand Peng, 1982). This means that the GEOSECS data obtained from differentyears in a decade can be considered synoptic for the deep ocean.

A primary motivation for studying deep circulation is that the deep ocean isa major component of the global carbon cycle. The world ocean has approximately38,000 Pg-C (1015 grams C), which dwarfs the atmospheric and terrestrialbiospheric reservoirs that respectively have about 730 and 2200 Pg-C (Houghtonet al., 2001). Since most of the oceanic carbon resides in the deep ocean, even asmall change in its carbon budget can significantly impact the atmosphericbudget and hence the global climate. Under natural conditions, the chances ofsuch an event may seem remote, because the deep ocean is a slow componentcompared to the atmosphere, upper ocean, and terrestrial biosphere.

However, measurements from polar ice cores provide abundant evidence formultiple, abrupt climate changes in the last glacial cycle (Dansgaard et al., 1993),some of which may have involved changes in the deep ocean (Broecker, 1998,2003). Abrupt climate change may be a real possibility today, when humanactivities that modify the physical environment are increasing globally (Alley etal., 2003; Broecker, 1997).

Another important reason for accurately characterizing the deep ocean is theneed to validate ocean carbon cycle models. These models are used frequently topredict the response of the ocean to increasing atmospheric CO2. Projections offuture carbon uptake by the ocean (Houghton et al., 2001) inevitably involve thedeep ocean. We would be hard pressed to place confidence in projections fromany model that does not reproduce the modern deep ocean behavior reasonablywell.

In this work, we use the new measurements from the World Ocean CirculationExperiment (WOCE) conducted during the decade of 1990s to present for the firsttime objectively gridded global maps of deep natural 14C. Objective gridding is

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Deep Ocean Radiocarbon 47

possible with the 15,000 WOCE measurements (e.g., Key et al., 1996, 2002)except in the Atlantic where the data set is supplemented with results from the late1980s. In contrast, there are approximately 2,200 GEOSECS 14C data, whichdespite the global coverage lack sufficient spatial resolution to make objectivemapping meaningful. In addition, we compare the observed deep 14C distributionwith results from three selected Princeton Ocean Biogeochemistry Models. Thethree models, which are part of a larger family of Princeton models, serve toillustrate a wide range in model behavior (Gnanadesikan et al., submitted;Matsumoto et al., in press).

2. DATA AND MODELS

2.1 Data

During WOCE two analytical methods were used for 14C. The first, knownas the large volume technique (Key, 1991; Key et al., 1991; Stuiver et al., 1974),was identical to that used for GEOSECS and required a 250 liter water sample.Inorganic carbon was extracted from the sample at sea and returned to shore basedlaboratories for measurement by beta-decay counting. The second, the smallvolume technique (Key, 1996; McNichol et al., 1994), only required a 250milliliter water sample. These water samples were returned to a shore baselaboratory and the 14C content determined by actually counting atoms using anaccelerator-mass spectrometer combination (AMS). The reproducibility of bothmethods is about 4‰ (Elder et al., 1998). Large volume sampling during WOCEwas restricted to Pacific Ocean deep waters. Once the measurements werecompleted, the results were subjected to stringent quality control procedures andsubsequently merged with other results.

During the 1950s and 1960s the United States and the former Soviet Unioncarried out a significant number of large atmospheric nuclear weapon tests.Radiocarbon produced by these tests is commonly referred to as “bomb-producedradiocarbon” or simply “bomb 14C”. In the atmosphere bomb-14C reacts withoxygen to form 14CO2 which subsequently enters the ocean primarily by air-seagas exchange. This bomb 14C contamination raised surface ocean radiocarbonvalues from approximately –60‰ to as high as 250‰ in some locations. Overtime the bomb 14C contamination is mixed into the ocean interior. Here we arefocusing on distribution of natural 14C (also referred to as background 14C or pre-bomb 14C) therefore the natural and bomb components which contribute to themeasured values in the upper ocean must be separated. We have used theseparation method described by Rubin and Key (2002), which is based on thestrong linear correlation between natural 14C and potential alkalinity (PALK).The potential alkalinity separation method is outlined by the following equations:

Measured 14C = Natural 14C + Bomb 14C,

Natural 14C = –0.59 – 0.962(PALK – 2320),

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48 K. MATSUMOTO and R. M. KEY

PALK = (Alkalinity + Nitrate)*35/Salinity.

During the 1990s the bomb-produced radiocarbon signal had not penetratedsignificantly below 1000 m except in the North Atlantic through the formation ofNorth Atlantic Deep Water and immediately adjacent to Antarctica whereverAntarctic Bottom Water is formed (Weddell Sea, Ross Sea, Adele Coast, etc.).Ostlund and Rooth (1990) presented a dramatic demonstration of the continuingpenetration of the bomb signal into the Northwest Atlantic by comparing GEOSECSdata to measurements taken in the 1980s as part of the Transient Tracers in theOcean (TTO) expedition. In order to eliminate this contamination, all of the dataand figures in this work are natural 14C derived from the equations above.

Production of the mapped distribution on a depth surface is a two stepprocedure. At each sampling station the value at the depth of the surface isestimated by interpolation. The maximum distance over which interpolation isallowed varies with the depth of the surface. That is, the measurements must besufficiently close to the surface or the interpolation is disallowed. Next, thevalues on the surface are interpolated horizontally using an objective analysisscheme (Sarmiento et al., 1982). For surfaces 3500 m and shallower, thecorrelation length scales used for the mapping are 1550 km east to west and 740km north to south. Below 3500m both were set to 740 km. The relatively sparsedata combined with long correlation length scales results in maps with significantlysmoothed features. That is, all extrema are reduced and features such as boundarycurrents are broadened.

2.2 Models

All three Princeton models used here are based on the same MOM3 (GFDLModular Ocean Model) code and have identical model resolution (3.5° latitude× 4.5° longitude) and boundary conditions (Gnanadesikan et al., 2002). Themodels have a prescribed depth profile of vertical eddy diffusion, represented bya diffusion coefficient Kv. Lateral mixing is oriented along isopycnal surfaces,using of the so-called GM parameterization or the eddy-induced transportvelocity parameterization of Gent et al. (1995). Along-isopycnal mixing coefficientAI represents the lateral eddy diffusion. These models are distinctive largely onthe basis of their Kv and AI.

The Low-Low (i.e., low Kv and low AI) model is nominally our “standard”model, from which other models are derived. The depth-dependent Kv is 0.15cm2/sec in the upper ocean and 1.3 cm2/sec in the deep ocean. There is ahyperbolic tangent transition at 2500 m to connect the two Kv values (Bryan andLewis, 1979). Everywhere AI is fixed at 1000 m2/sec. In the High-High model,both the upper ocean Kv and global AI are increased from the Low-Low modelvalues to 0.6 cm2/sec and 2000 m2/sec respectively. The particular combinationof Kv and AI in the High-High model largely maintains the general shape anddepth of the pycnocline of the standard model but changes the advective pathwayof the deep ocean (Gnanadesikan, 1999). The High-High model returns the deep

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Deep Ocean Radiocarbon 49

water to the surface by upwelling more in the low latitudes, whereas the returnpath occurs predominantly in the Southern Ocean in the standard model. As weshow below, the deep natural ∆14C distributions predicted by these two modelsare not satisfactory. Partly in an effort to rectify the situation, the third model wasdeveloped (Gnanadesikan et al., submitted). In the Med-Low model, the upperocean Kv has an intermediate value of 0.3 cm2/sec with an inflection depth of2000 m and the low AI value of 1000 m2/sec. However, south of 55°S, Kvthroughout the water column is set to 1.0 cm2/sec. This results in a more vigorousvertical mixing in the Southern Ocean. Additionally, the Medium-Low model isforced to have convection during three winter months at four grid boxes in theRoss and Weddell Seas. This improves the temperature and salinity properties inthe deep Southern Ocean.

These circulation models are coupled to the common “Abiotic”biogeochemistry code from the second phase of Ocean Carbon CycleIntercomparison Project (OCMIP) (Orr et al., 2001). The code standardizes air-sea gas exchange, seawater CO2 system, and surface fresh water flux (see HOW-TO documents on the OMCIP web site at www.ipsl.jussieu.fr/OCMIP). Statevariables include temperature, salinity, CO2, and 14CO2. Surface alkalinity isscaled to surface salinity. Natural 14C results are taken after the models haveachieved equilibrium.

3. DEEP NATURAL RADIOCARBON

An objectively gridded global map of natural radiocarbon abundance at 3500m water depth shows, as expected, the highest (i.e., the least negative) ∆14C in theNorth Atlantic (Fig. 1). The highest ∆14C near Labrador Sea is about than –50‰,which is roughly the preindustrial surface ocean ∆14C value, as indicated by 14Cmeasurements on samples of sea water, corals, mollusks, and planktonicforaminifera (Bard, 1988). In conventional 14C age, –50‰ is approximately 400years and reflects the apparent age or the reservoir age of the surface ocean. If theair-sea gas exchange were infinitely fast, the preindustrial surface ∆14C would beidentical to the preindustrial atmospheric ∆14C of 0‰. That the deep NorthAtlantic at 3500 m has natural ∆14C that is close to the preindustrial surface valueis evidence for the deep vertical mixing in the Labrador Sea and Greenland-Iceland-Norwegian Sea that is associated with the formation of North AtlanticDeep Water (NADW). On this 3500 m level, the deep Northeast Pacific has themost negative ∆14C of approximately –250‰, indicating the terminus of theconveyor belt circulation. The Southern Ocean has an intermediate ∆14C of about–160‰ at this level.

The long time scale associated with the deep ocean circulation are readilyappreciated when 14C abundance is converted to 14C age (Fig. 2). The differenceof about 1000 years between the Atlantic and Pacific is the basis for characterizingthe global overturning circulation as having millennial time scale. At this slowrate of circulation, sharp tracer gradients are generally eroded by diffusivemixing. This and the 1550 km east-west and 740 km north-south correlation

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50 K. MATSUMOTO and R. M. KEY

Fig. 1. Objectively mapped natural 14C abundance on the 3500 m water depth level. Radiocarbonabundance is expressed in ∆14C (‰). See Subsection 2.1 for data source and mapping methodology.Contours are 25‰ apart. Dots indicate station locations.

length scales used in the objective mapping account for the smoothness in themaps of deep natural ∆14C and 14C age (Figs. 1 and 2).

We also produced a “bottom” map of natural ∆14C shown in Fig. 3. In makingthis figure, rather than vertically interpolating the values at each station, thedeepest datum from each station was used with the constraints that the sample iswithin 250 m of the seafloor and the seafloor is at least 3500 m. These values werethen objectively horizontally mapped. As in Fig. 1, the general pattern of the deeplimb of the global thermohaline circulation is depicted in this bottom map.However unlike the map on 3500 m where there is relatively little topographicbarriers, Fig. 3 shows the paths of the bottom and abyssal waters as they areguided by the bottom topography. Circumpolar Deep Water, and to atopographically limited extent Antarctic Bottom Water, generally move northwardadjacent to the bottom filling both the Indian and Pacific Oceans. In the Pacificthe primary core of the northward flow is adjacent to the island arch system nearthe date-line. Careful examination of the abyssal Pacific flow implies that thisnorthward flowing core bifurcates north of the equator with the majority followinga general clockwise flow along the west and north edges of the basin. The othertongue is difficult to follow, but it appears to flow northeastward passing southof the Hawaiian Islands. In the abyssal Indian Ocean the northward flow ofCircumpolar Deep Water is strongly controlled by topography. The oldestabyssal water found in the Indian Ocean is in the Central Indian Basin which isfilled through gaps in the 80 East Ridge at both the north and south ends of thebasin.

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Deep Ocean Radiocarbon 51

Ocean general circulation models generally do not simulate the deep naturalradiocarbon distribution well (Gnanadesikan et al., submitted; Matsumoto et al.,in press). For direct comparison with the observed horizontal map of natural ∆14Cat the 3500 m level (Fig. 1), we show the same for the three Princeton models in

Fig. 2. Objectively mapped conventional 14C age of natural radiocarbon on the 3500 m level. Thisfigure does not correlate exactly with natural ∆14C (Fig. 1), because 14C age is a non-linear functionof 14C abundance. Also, in making this figure, ∆14C from Fig. 1 was first converted to 14C age, whichwas then objectively mapped (i.e., converted then mapped, not mapped then converted). Thereforethe mapped variable is different in the two figures. Contours are 100 years apart.

Fig. 3. Objectively mapped natural 14C abundance within 300 m from the seafloor and deeper than3500 m. Radiocarbon abundance is expressed in ∆14C (‰).

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52 K. MATSUMOTO and R. M. KEY

Fig. 4. These horizontal maps together with meridional sections of the Pacific(Fig. 5) clearly illustrate the extent of the model-data mismatch in the Pacific.

The Low-Low model, which has low Kv, is generally too stratified and as aconsequence has too negative ∆14C everywhere in the deep ocean (Fig. 4(a)) when

Fig. 4. Simulated natural 14C abundance on the 3500 m level. Contours are 10‰ apart. Note thedifferent color scales used in this figure and Fig. 1. Radiocarbon abundance is expressed in ∆14C (‰).

Fig. 5. Observed and modeled meridional sections of natural 14C abundance in the Pacific. Thesesections represent basin-wide zonal mean. Contours are 30‰ apart. Radiocarbon abundance isexpressed in ∆14C (‰).

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Deep Ocean Radiocarbon 53

compared to the observed (Fig. 1). Poor ventilation in this model’s deep ocean ismost prominent in the North Pacific, where ∆14C is almost –370‰, which is morethan 100‰ too negative or about 1000 years too old. This is largely a result of thelack of deep vertical mixing in the Southern Ocean in this model in contrast to thereal ocean (Fig. 5). Also, the location of the oldest water in this model is foundin the northwestern margin of the Pacific (Fig. 4(a)), on the opposite side of thebasin from the observed. Furthermore, whereas the core of the North Pacific DeepWater (NPDW) is located in the depth rage of 2000–3500 m according to wherewe find the most negative natural ∆14C (Fig. 5(a)), the depth range of NPDW isless well defined in the Low-Low model (Fig. 5(b)).

The High-High and Med-Low models, which have higher vertical mixingcoefficients than the Low-Low model, are able to ventilate the deep Pacific to agreater extent everywhere (Figs. 4(b) and (c)). In fact the High-High model hastoo positive ∆14C in the deep North Pacific compared to the observed, while theMed-Low model has about the right NPDW ∆14C. As in observation, these twomodels have deep vertical mixing in the Southern Ocean and a tongue ofrelatively well ventilated (more positive ∆14C) bottom water moving from thedeep Southern Ocean northward in the Pacific sector (Figs. 3 and 5). Also, thesemodels have relatively well defined NPDW core that is consistent with observation.

Perhaps the most puzzling feature that is common in all of the horizontalmaps shown in Fig. 4 is the apparently missing NADW. In the real ocean on the3500 m level, there is a north-south natural ∆14C gradient in the Atlantic basin ofalmost 100‰ that indicates the presence of NADW (Fig. 1). However, none of themodels show such a large gradient; it is perhaps only 20‰. This does not meanof course that NADW does not exist at all in these models. Such a gross modeldeficiency would make any ocean general circulation models completelyinadequate. In these as well as in most other coarse resolution models, NADWexists at a much shallower depth range (Doney and others, in prep.). Meridionalsections of natural 14C and salinity in the Atlantic basin from the Low-Low modelshow that the core of NADW is located in depth of about 2000 m and is largelyabsent at 3500 m (Fig. 6). This feature is essentially the same in the other twomodels. In the real ocean, NADW is found between 1500 and 4000 m. Theexcessively shallow NADW found in these and other ocean general circulationmodels has to do with their inability to form deep waters with the appropriatetemperature and salinity properties. Our analysis of the thirteen ocean circulationmodels participating in the second phase of OCMIP (Dutay et al., 2002), whichis not shown here, indicates that some models do not have waters as dense asNADW anywhere in their model domain.

The presence of NADW in these models at a shallower depth is readilyconfirmed by examining the natural 14C abundance at 2000 m (Fig. 7). In allmodels, we find as large a north-south gradient in natural ∆14C as observed. Also,the southward advective pathway of NADW along the western boundary isclearly evident. Unlike the deep Pacific, where intermodel difference in natural∆14C was large, the Atlantic at 2000 m does not show large ∆14C difference. Theexception is in the far south, east of the Drake Passage, where the influence of

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54 K. MATSUMOTO and R. M. KEY

Fig. 7. Simulated natural 14C abundance on the 2000 m level in the Atlantic basin. Radiocarbonabundance is expressed in ∆14C (‰).

Fig. 6. Simulated meridional sections of natural ∆14C and salinity in the Atlantic. These sectionsrepresent basin-wide zonal mean from the Low-Low model. The other two models likewise showshallow NADW (see text). Radiocarbon abundance and salinity are expressed respectively in ∆14Cand PSU, both in unit of ‰.

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Deep Ocean Radiocarbon 55

Circumpolar Deep Water is visible in the case Low-Low model (Fig. 7(a)). Thatthere is a smaller intermodel natural ∆14C difference in the deep Atlantic than inthe deep Pacific is not surprising, because NADW was in contact with theatmosphere more recently than NPDW. Since the preindustrial atmosphere bydefinition has a fixed ∆14C of 0‰, any water mass that was at the surface recentlywould have had its ∆14C reset by the atmosphere, subject to the extent of air-seagas equilibration. In contrast, NPDW is farthest removed from the atmosphere.Therefore, there is more “time” for model errors to accumulate.

4. DISCUSSION AND CONCLUSIONS

The three ocean carbon cycle models presented here exhibited a wide rangein how well they could simulate the modern deep ocean natural ∆14C. One modelventilated the deep ocean excessively, another insufficiently, and the otherroughly right. Because of this difference, we expect dissimilar responses by thesemodels to anthropogenic carbon perturbation over centennial time scale thatinvolves the deep ocean.

Figure 8 illustrates the three models’ cumulative oceanic uptake ofanthropogenic carbon when forced only by changing atmosphere pCO2. That is,

Fig. 8. Simulated cumulative ocean uptake of anthropogenic carbon. The atmospheric pCO2 forcingfunction is a weighted smoothing spline fit through the ice core and Mauna Loa measurements from1765 to 1990. After 1990, the forcing function is the Intergovernmental Panel on Climate ChangeS650 scenario. See the HOW-TO documentation in http://www.ipsl.jussieu.fr/OCMIP for detail.Cumulative uptake represents whole ocean integration of anthropogenic carbon. There is no feedback on ocean circulation from carbon cycle (i.e., ocean circulation remains unchanged). Also,surface alkalinity, which is scaled to salinity, does not change.

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56 K. MATSUMOTO and R. M. KEY

the models remain unchanged in their circulation and boundary conditions. Theatmospheric forcing function is a combination of past pCO2 changes as measuredon samples of ice core air bubbles and air and a future stabilization scenario. Thesimulated anthropogenic carbon inventories in all three models increase with therising atmospheric pCO2. Oceanic uptake continues to increase even after theatmospheric pCO2 is stabilized at 650 ppm in the year 2200. There is a continuednet transfer of carbon from the atmosphere to the ocean, because the atmosphericpCO2 is apparently higher than the areally weighted mean surface ocean pCO2during the entire simulation period.

The cumulative uptake is highest at all times in the High-High model, whichhas the largest Kv of all the models. The Med-Low and Low-Low models havesuccessively less anthropogenic carbon inventory with decreasing strength ofvertical mixing. A higher Kv ventilates the deep ocean more efficiently andthereby brings to the surface waters uncontaminated with anthropogenic signal.These “fresh” waters are able to absorb more anthropogenic carbon. The moststratified Low-Low model has the least inventory, because it is unable to rapidlymix down the surface waters that have absorbed anthropogenic carbon. Therefore,the surface concentration of anthropogenic carbon in this model is the highest.

The predicted anthropogenic carbon inventories diverge more with time,because the oceanic uptake increasingly involves the deep ocean. In the earlierpart of the simulation period, uptake only occurs in the surface mixed layer andshallower isopycnal layers, which by their relatively small volumes inherentlyhas a limit to how much uptake can occur. Also, the atmospheric pCO2 and henceair-sea pCO2 gradient that drives the carbon flux are still relatively low. For thesereasons, intermodel difference is relatively small. In the year 2000, the threemodels’ inventories are roughly within 20 Pg-C of about 135 Pg-C. By the end ofthe simulation period, the High-High model has almost 1000 Pg-C compared to750 Pg-C in the Low-Low model.

It should be emphasized that these results were obtained from ocean-onlymodels and not from coupled models. Therefore, these results do not account forpossible changes in surface ocean temperatures, alkalinity, and stratifications inthe future that all affect anthropogenic carbon uptake. For example, surface waterwarming would reduce the solubility of CO2. Surface warming would alsoincrease the buoyancy of the surface waters, which would strengthen stratificationand reduce vertical mixing. Additional changes in the surface buoyancy can beexpected from changes in the hydrological cycle. An increasingly acidic ocean(Caldeira and Wickett, 2003) would begin to dissolve CaCO3 accumulating on thesea floor and thereby increase the oceanic alkalinity budget and hence CO2 buffercapacity. All these effects are neglected in our illustration of how differentmodels respond to a scenario of future atmospheric pCO2 forcing (Fig. 8).

While we noted above that the Med-Low model has the best deep natural∆14C distribution of the three models, we should not necessarily assume that thefuture uptake results from this model would be the most accurate. These coarseresolution models have a number of simplifications and parameterizations of thereal ocean physics. While the particular ways in which they are implemented may

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Deep Ocean Radiocarbon 57

be appropriate under the modern conditions, this may not be so under differentboundary conditions in the future. Nevertheless, the utility of the observednatural radiocarbon distribution (Figs. 1, 2, 3 and 5) in validating ocean carboncycle is not diminished, because there is even less confidence in the long-termfuture predictions of models that fail to simulate the observed. In fact, the newnatural radiocarbon data from WOCE and other surveys offer perhaps the solemeans to quantitatively evaluate on centennial time scale ocean carbon cyclemodels and identify the better models from the worst (Matsumoto et al., in press).

Acknowledgements—Financial support was provided by NSF grant OCE-9819144 to R.Key.

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K. Matsumoto (e-mail: [email protected]) and R. M. Key (e-mail: [email protected])