Human activity is rapidly changing the composition of the earth's atmosphere,
  contributing to warming from excess carbon dioxide (CO
)
  along with other trace gases such as water vapor, chlorofluorocarbons, methane
  and nitrous oxide. These anthropogenic "greenhouse gases" play a
  critical role in controlling the earth's climate because they increase the
  infrared opacity of the atmosphere, causing the surface of the planet to warm.
  The release of CO
 from
  fossil fuel consumption or the burning of forests for farming or pasture contributes
  approximately 7 petagrams of carbon (1 Pg C = 1 × 10
 g
  C) to the atmosphere each year. Approximately 3 Pg C of this "anthropogenic
  CO
" accumulates
  in the atmosphere annually, and the remaining 4 Pg C is stored in the terrestrial
  biosphere and the ocean.
Where and how land and ocean regions vary in their uptake of CO
 from
  year to year is the subject of much scientific research and debate. Future
  decisions on regulating emissions of greenhouse gases should be based on more
  accurate models of the global cycling of carbon and the regional sources and
  sinks for anthropogenic CO
,
  models that have been adequately tested against a well-designed system of measurements.
  The construction of a believable present-day carbon budget is essential for
  the reliable prediction of changes in atmospheric CO
 and
  global temperatures from available emissions scenarios.
The ocean plays a critical role in the global carbon cycle as a vast reservoir
  that exchanges carbon rapidly with the atmosphere, and takes up a substantial
  portion of anthropogenically-released carbon from the atmosphere. A significant
  impetus for carbon cycle research over the past several decades has been to
  achieve a better understanding of the ocean's role as a sink for anthropogenic
  CO
. There are
  only three global reservoirs with exchange rates fast enough to vary significantly
  on the scale of decades to centuries: the atmosphere, the terrestrial biosphere
  and the ocean. Approximately 93% of the carbon is located in the ocean, which
  is able to hold much more carbon than the other reservoirs because most of
  the CO
 that
  diffuses into the oceans reacts with seawater to form carbonic acid and its
  dissociation products, bicarbonate and carbonate ions (Figure
  1).
Figure 1. Schematic diagram of the carbon dioxide (CO
)
    system in seawater. The 1 × CO
 concentrations
    are for a surface ocean in equilibrium with a pre-industrial atmospheric
    CO
 level of
    280 ppm. The 2 × CO
 concentrations
    are for a surface ocean in equilibrium with an atmospheric CO
 level
    of 560 ppm. Current model projections indicate that this level could be reached
    sometime in the second half of this century. The atmospheric values are in
    units of ppm. The oceanic concentrations, which are for the surface mixed
    layer, are in units of µmol kg
.
Our present understanding of the temporal and spatial distribution of net
  CO
 flux into
  or out of the ocean is derived from a combination of field data, which is limited
  by sparse temporal and spatial coverage, and model results, which are validated
  by comparisons with the observed distributions of tracers, including natural
  carbon-14 (
C),
  and anthropogenic chlorofluorocarbons, tritium (
H)
  and bomb 
C.
  The latter two radioactive tracers were introduced into the atmosphere-ocean
  system by atomic testing in the mid 20th century. With additional data from
  the recent global survey of CO
 in
  the ocean (19911998), carried out cooperatively as part of the Joint
  Global Ocean Flux Study (JGOFS) and the World Ocean Circulation Experiment
  (WOCE) Hydrographic Program, it is now possible to characterize in a quantitative
  way the regional uptake and release of CO
 and
  its transport in the ocean. In this paper, we summarize our present understanding
  of the exchange of CO
 across
  the air-sea interface and the storage of natural and anthropogenic CO
 in
  the ocean's interior.
The history of large-scale CO
 observations
  in the ocean date back to the 1970s and 1980s. Measurements of the partial
  pressure of CO
 (pCO
),
  total dissolved inorganic carbon (DIC) and total alkalinity (A
)
  were made during the global Geochemical Ocean Sections (GEOSECS) expeditions
  between 1972 and 1978, the Transient Tracers in the Oceans (TTO) North Atlantic
  and Tropical Atlantic Surveys in 198183, the South Atlantic Ventilation
  Experiment (SAVE) from 19881989, the French Southwest Indian Ocean experiment,
  and numerous other smaller expeditions in the Pacific and Indian Oceans in
  the 1980s. These studies provided marine chemists with their first view of
  the carbon system in the global ocean.
These data were collected at a time when no common reference materials or
  standards were available. As a result, analytical differences between measurement
  groups were as large as 29 µmol kg
 for
  both DIC and A
,
  which corresponds to more than 1% of the ambient values. Large adjustments
  had to be made for each of the data sets based on deepwater comparisons at
  nearby stations before individual cruise data could be compared. These differences
  were often nearly as large as the anthropogenic CO
 signal
  that investigators were trying to determine (Gruber
  et al., 1996). Nevertheless, these early data sets made up a component
  of the surface ocean pCO
 measurements
  for a global climatology and also provided researchers with new insights into
  the distribution of anthropogenic CO
 in
  the ocean, particularly in the Atlantic Ocean.
At the onset of the Global Survey of CO
 in
  the Ocean (Figure 2), several events took place
  in the United States and in international CO
 measurement
  communities that significantly improved the overall precision and accuracy
  of the large-scale measurements. In the United States, the CO
 measurement
  program was co-funded by the Department of Energy (DOE), the National Oceanic
  and Atmospheric Administration (NOAA) and the National Science Foundation (NSF)
  under the technical guidance of the U.S. CO
 Survey
  Science Team. This group of academic and government scientists adopted and
  perfected the recently developed coulometric titration method for DIC determination
  that had demonstrated the capability to meet the required goals for precision
  and accuracy. They advocated the development and distribution of certified
  reference materials (CRMs) for DIC, and later for A
,
  for international distribution under the direction of Andrew Dickson of Scripps
  Institution of Oceanography (see sidebar). They also supported a shore-based
  intercomparison experiment under the direction of Charles Keeling, also of
  Scripps. Through international efforts, the development of protocols for CO
 analyses
  were adopted for the CO
 survey.
  The international partnerships fostered by JGOFS resulted in several intercomparison
  CO
 exercises
  hosted by France, Japan, Germany and the United States. Through these and other
  international collaborative programs, the measurement quality of the CO
 survey
  data was well within the measurement goals of ±3 µmol kg
 and ±5 µmol
  kg
,
  respectively, for DIC and A
.
Figure 2. The Global Survey of CO
 in
    the Ocean: cruise tracks and stations occupied between 1991 and 1998.
Several other developments significantly enhanced the quality of the CO
 data
  sets during this period. New methods were developed for automated underway
  and discrete pCO
 measurements.
  An extremely precise method for pH measurements based on spectrophotometry
  was also developed by Robert Byrne and his colleagues at the University of
  South Florida. These improvements ensured that the internal consistency of
  the carbonate system in seawater could be tested in the field whenever more
  than two components of the carbonate system were measured at the same location
  and time. This allowed several investigators to test the overall quality of
  the global CO
 data
  set based upon CO
 system
  thermodynamics. Laboratories all around the world contributed to a very large
  and internally consistent global ocean CO
 data
  set determined at roughly 100,000 sample locations in the Atlantic, Pacific,
  Indian and Southern oceans (Figure 2). The data
  from the CO
 survey
  are available through the Carbon Dioxide Information and Analysis Center (CDIAC)
  at Oak Ridge National Laboratory as Numeric Data Packages and on the World
  Wide Web (http://cdiac.esd.ornl.gov/home.html).
  Taro Takahashi and his collaborators have also amassed a large database of
  surface ocean pCO
 measurements,
  spanning more than 30 years, into a pCO
 climatology
  for the global ocean (Takahashi
  et al., 2002). These data have been used to determine the global and
  regional fluxes for CO
 in
  the ocean.
| Reference Materials For Oceanic CO2 Measurements | 
In seawater, CO
 molecules
  are present in three major forms: the undissociated species in water, [CO
]aq,
  and two ionic species, [HCO![]()
]
  and [CO![]()
]
  (Figure 1). The concentration of [CO
]aq depends
  upon the temperature and chemical composition of seawater. The amount of [CO
]aq is
  proportional to the partial pressure of CO
 exerted
  by seawater. The difference between the pCO
 in
  surface seawater and that in the overlying air represents the thermodynamic
  driving potential for the CO
 transfer
  across the sea surface. The pCO
 in
  surface seawater is known to vary geographically and seasonally over a range
  between about 150 µatm and 750 µatm, or about 60% below and 100%
  above the current atmospheric pCO2 level of about 370 µatm. Since the
  variation of pCO2 in the surface ocean is much greater than the atmospheric pCO
 seasonal
  variability of about 20 µatm in remote uncontaminated marine air, the
  direction and magnitude of the sea-air CO
 transfer
  flux are regulated primarily by changes in the oceanic pCO
.
  The average pCO
 of
  the global ocean is about 7 µatm lower than the atmosphere, which is
  the primary driving force for uptake by the ocean (see Figure
  6 in Karl et al., this issue).
The pCO
 in
  mixed-layer waters that exchange CO
 directly
  with the atmosphere is affected primarily by temperature, DIC levels and A
.
  While the water temperature is regulated by physical processes, including solar
  energy input, sea-air heat exchanges and mixed-layer thickness, the DIC and
  A
 are primarily
  controlled by the biological processes of photosynthesis and respiration and
  by upwelling of subsurface waters rich in respired CO
 and
  nutrients. In a parcel of seawater with constant chemical composition, pCO
 would
  increase by a factor of 4 when the water is warmed from polar temperatures
  of about –1.9°C to equatorial temperatures of about 30°C. On
  the other hand, the DIC in the surface ocean varies from an average value of
  2150 µmol kg
 in
  polar regions to 1850 µmol kg
 in
  the tropics as a result of biological processes. This change should reduce pCO
 by
  a factor of 4. On a global scale, therefore, the magnitude of the effect of
  biological drawdown on surface water pCO
 is
  similar in magnitude to the effect of temperature, but the two effects are
  often compensating. Accordingly, the distribution of pCO
 in
  surface waters in space and time, and therefore the oceanic uptake and release
  of CO
 , is governed
  by a balance between the changes in seawater temperature, net biological utilization
  of CO
 and the
  upwelling flux of subsurface waters rich in CO
.
Surface-water pCO
 has
  been determined with a high precision (±2 µatm) using underway
  equilibrator-CO
 analyzer
  systems over the global ocean since the International Geophysical Year of 195659.
  As a result of recent major oceanographic programs, including the global CO
 survey
  and other international field studies, the database for surface-water pCO
 observations
  has been improved to about 1 million measurements with several million accompanying
  measurements of SST, salinity and other necessary parameters such as barometric
  pressure and atmospheric CO
 concentrations.
  Based upon these observations, a global, monthly climatological distribution
  of surface-water pCO
 in
  the ocean was created for a reference year 1995, chosen because it was the
  median year of pCO
 observations
  in the database. The database and the computational method used for interpolation
  of the data in space and time will be briefly described below.
For the construction of climatological distribution maps, observations made
  in different years need to be corrected to a single reference year (1995),
  based on several assumptions explained below (see also Takahashi
  et al., 2002). Surface waters in the subtropical gyres mix vertically
  at slow rates with subsurface waters because of strong stratification at the
  base of the mixed layer. As a result, they are in contact with the atmosphere
  and can exchange CO
 for
  a long time. Consequently, the pCO
 in
  these warm waters follows the increasing trend of atmospheric CO
 concentrations,
  as observed by Inoue
  et al. (1995) in the western North Pacific, by Feely
  et al. (1999) in the
  equatorial Pacific and by Bates
  (2001) near Bermuda in the western North Atlantic.
  Accordingly, the pCO
 measured
  in a given month and year is corrected to the same month in the reference year
  1995 using the following atmospheric CO
 concentration
  data for the planetary boundary layer: the GLOBALVIEW-CO2 database
  (2000) for observations made after 1979 and the Mauna Loa data of Keeling
  and Whorf (2000) for observations before 1979 (reported in CDIAC NDP-001,
  revision 7).
In contrast to the waters of the subtropical gyres, surface waters in high-latitude
  regions are mixed convectively with deep waters during fall and winter, and
  their CO
 properties
  tend to remain unchanged from year to year. They reflect those of the deep
  waters, in which the effect of increased atmospheric CO
 over
  the time span of the observations is diluted to undetectable levels (Takahashi
  et al., 2002). Thus no correction is necessary for the year of measurements.
Figure 3 shows the distribution of climatological
  mean sea-air pCO
 difference
  (
pCO
)
  during February (Figure 3a) and August (Figure
  3b) for the reference year 1995. The yellow-red colors indicate oceanic
  areas where there is a net release of CO
 to
  the atmosphere, and the blue-purple colors indicate regions where there is
  a net uptake of CO
.
  The equatorial Pacific is a strong source of CO
 to
  the atmosphere throughout the year as a result of the upwelling and vertical
  mixing of deep waters in the central and eastern regions of the equatorial
  zone. The intensity of the oceanic release of CO
 decreases
  westward in spite of warmer temperatures to the west. High levels of CO
 are
  released in parts of the northwestern subarctic Pacific during the northern
  winter and the Arabian Sea in the Indian Ocean during August. Strong convective
  mixing that brings up deep waters rich in CO
 produces
  the net release of CO
 in
  the subarctic Pacific. The effect of increased DIC concentration surpasses
  the cooling effect on pCO
 in
  seawater during winter. The high pCO
 in
  the Arabian Sea water is a result of strong upwelling in response to the southwest
  monsoon. High pCO
 values
  in these areas are reduced by the intense primary production that follows the
  periods of upwelling.
Figure 3. Distribution of climatological mean sea-air pCO
 difference
    (
pCO
)
    for the reference year 1995 representing non-El Niño conditions in February
    (a) and August (b). These maps are based on about 940,000 measurements of
    surface water pCO
 from
    1958 through 2000. The pink lines indicate the edges of ice fields. The yellow-red
    colors indicate regions with a net release of CO
 into
    the atmosphere, and the blue-purple colors indicate regions with a net uptake
    of CO
 from
    the atmosphere. The mean monthly atmospheric pCO
 value
    in each pixel in 1995, (pCO
)air,
    is computed using (pCO
)air
    = (CO
)air × (Pb
    - pH2O). (CO
)air
    is the monthly mean atmospheric CO
 concentration
    (mole fraction of CO
 in
    dry air) from the GLOBALVIEW
    database (2000); Pb is the climatological mean barometric pressure
    at sea level from the Atlas
    of Surface Marine Data (1994); and the water vapor pressure, pH
O,
    is computed using the mixed layer water temperature and salinity from the
    World Ocean Database (1998) of NODC/NOAA. The sea-air pCO
 difference
    values in the reference year 1995 have been computed by subtracting the mean
    monthly atmospheric pCO
 value
    from the mean monthly surface ocean water pCO
 value
    in each pixel.
The temperate regions of the North Pacific and Atlantic oceans take up a moderate
  amount of CO
 (blue)
  during the northern winter (Figure 3a) and release
  a moderate amount (yellow-green) during the northern summer (Figure
  3b). This pattern is the result primarily of seasonal temperature changes.
  Similar seasonal changes are observed in the southern temperate oceans. Intense
  regions of CO
 uptake
  (blue-purple) are seen in the high-latitude northern ocean in summer (Figure
  3b) and in the high-latitude South Atlantic and Southern oceans near Antarctica
  in austral summer (Figure 3a). The uptake is
  linked to high biological utilization of CO
 in
  thin mixed layers. As the seasons progress, vertical mixing of deep waters
  eliminates the uptake of CO
.
These observations point out that the 
pCO
 in
  high-latitude oceans is governed primarily by deepwater upwelling in winter
  and biological uptake in spring and summer, whereas in the temperate and subtropical
  oceans, the 
pCO
 is
  governed primarily by water temperature. The seawater 
pCO
 is
  highest during winter in subpolar and polar waters, whereas it is highest during
  summer in the temperate regions. Thus the seasonal variation of 
pCO
 and
  therefore the shift between net uptake and release of CO
 in
  subpolar and polar regions is about 6 months out of phase with that in the
  temperate regions.
The 
pCO
 maps
  are combined with the solubility (s) in seawater and the kinetic forcing function,
  the gas transfer velocity (k), to produce the flux:
F = k•s•
pCO
                           (1)
The gas transfer velocity is controlled by near-surface turbulence in the liquid boundary layer. Laboratory studies in wind-wave tanks have shown that k is a strong but non-unique function of wind speed. The results from various wind-wave tank investigations and field studies indicate that factors such as fetch, wave direction, atmospheric boundary layer stability and bubble entrainment influence the rate of gas transfer. Also, surfactants can inhibit gas exchange through their damping effect on waves. Since effects other than wind speed have not been well quantified, the processes controlling gas transfer have been parameterized solely with wind speed, in large part because k is strongly dependent on wind, and global and regional wind-speed data are readily available.
Several of the frequently used relationships for the estimation of gas transfer velocity as a function of wind speed are shown in Figure 4 to illustrate their different dependencies. For the Liss and Merlivat (1986) relationship, the slope and intercept of the lower segment was determined from an analytical solution of transfer across a smooth boundary. For the intermediate wind regime, the middle segment was obtained from a field study in a small lake, and results from a wind-wave tank study were used for the high wind regime after applying some adjustments. This relationship is often considered the lower bound of gas transfer-wind speed relationships.
Figure 4. Graph of the different relationships that have been developed
    for the estimation of the gas transfer velocity, k, as a function
    of wind speed. The relationships were developed from wind-wave tank experiments,
    oceanic observations, global constraints and basic theory. The different
    forms of the relationships are summarized in Table
    1. U
 is
    wind speed at 10 m above the sea surface.
The quadratic relationship of Wanninkhof
    (1992) was constructed to follow the general shape of curves derived
    in wind-wave tanks but adjusted so that the global mean transfer velocity
    corresponds with the long-term global average gas transfer velocity determined
    from the invasion of bomb 
C
    into the ocean. Because the bomb 
C
    is also used as a diagnostic or tuning parameter in global ocean biogeochemical
    circulation models, this parameterization yields internally consistent results
    when used with these models, making it one of the more favored parameterizations.
Using the same long-term global 
C
  constraint but basing the general shape of the curve on recent CO
 flux
  observations over the North Atlantic determined using the covariance technique, Wanninkhof
  and McGillis (1999) proposed a significantly stronger (cubic) dependence
  with wind speed. This relationship shows a weaker dependence on wind for wind
  speeds less than 10 ms
 and
  a significantly stronger dependence at higher wind speeds. However, the relationship
  is not well constrained at high wind speeds because of the large scatter in
  the scarce observations. Both the U
 and
  U
 relationships
  fit within the data envelope of the study, but the U
 relationship
  provides a significantly better fit. Nightingale
  et al. (2000) determined a gas exchange-wind speed relationship based on
  the results of a series of experiments utilizing deliberately injected sulfur
  hexafluoride (SF
), 
He
  and non-volatile tracers performed in the last decade.
The global oceanic CO
 uptake
  using different wind speed/gas transfer velocity parameterizations differs
  by a factor of three (Table 1). The wide range
  of global CO
 fluxes
  for the different relationships illustrates the large range of results and
  assumptions that are used to produce these relationships. Aside from differences
  in global oceanic CO
 uptake,
  there are also significant regional differences. Figure
  5 shows that the relationship of W&M-99 yields systematically lower
  evasion rates in the equatorial region and higher uptake rates at high latitudes
  compared with W-92, leading to significantly larger global CO
 uptake
  estimates.
Figure 5. Effects of the various gas transfer/wind speed relationships
    on the estimated air-sea exchange flux of CO
 in
    the ocean as a function of latitude. The global effects on the net air-sea
    flux are given in Table 1.
In addition to the non-unique dependence of gas exchange on wind speed, which
  causes a large spread in global air-sea CO
 flux
  estimates, there are several other factors contributing to biases in the results.
  Global wind-speed data obtained from shipboard observations, satellites and
  data assimilation techniques show significant differences on regional and global
  scales. Because of the non-linearity of the relationships between gas exchange
  and wind speed, significant biases are introduced in methods of averaging the
  product of gas transfer velocity and wind speed. The common approach of averaging
  the 
pCO
 and k separately
  over monthly periods, determining the flux from the product and ignoring the
  cross product leads to a bias that is about 0.2 to 0.8 Pg C yr
 lower
  in the global uptake estimate. This bias shows a regional variation that is
  dependent on the distribution and magnitude of winds. This issue has been partly
  rectified in some of the relationships in which a global wind-speed distribution
  is used to create separate relationships between gas transfer and wind speed
  for short-term (a day or less) and long-term (a month or more) periods. Since
  wind-speed distributions are regionally dependent and vary on time scales of
  hours, this approach is far from perfect.
The groundwork of efforts laid over the past decade and recently improved
  technologies make the quantification of regional and global CO
 fluxes
  a more tractable problem now. Satellites equipped with scatterometers that
  are used to determine wind speed offer daily global coverage. Moreover, these
  instruments measure sea-surface roughness that is directly related to gas transfer.
  This remotely sensed information, along with regional statistics of wind-speed
  variability on time scales shorter than a day, offers the real possibility
  that more accurate gas transfer velocities will be obtained. Efforts are underway
  to increase the coverage of pCO
 through
  more frequent measurements and data assimilation techniques, again utilizing
  remote sensing of parameters such as sea-surface temperature and wind speed.
  Better quantification of the fluxes will lead to better boundary conditions
  for models and improved forecasts of atmospheric CO
 concentrations. 
To illustrate the sensitivity of the gas transfer velocity and thus the sea-air
  CO
 flux to wind
  speed, we have estimated the regional and global net sea-air CO
 fluxes
  using two different formulations for the CO
 gas
  transfer coefficient across the sea-air interface: the quadratic U
 dependence
  of W-92 and the cubic U
 dependence
  of W&M-99. In addition, we have demonstrated the effects of wind-speed
  fields on the computed sea-air CO
 flux
  using the National Center for Environmental Prediction (NCEP)-41 mean monthly
  wind speed and the NCEP-1995 mean monthly wind speed distributions over 4° × 5° pixel
  areas.
In Table 2 the fluxes computed using the
  W-92 and the NCEP/National Center for Atmospheric Research (NCAR) 41-year mean
  wind are listed in the first row for each grouping in column one (for latitudinal
  bands, oceanic regions and regional flux). The column "Errors in Flux" located
  at the extreme right of Table 2 lists the
  deviations from the mean flux that have been determined by adding or subtracting
  one standard deviation of the wind speed (about ±2 m sec
 on
  the global average) from the mean monthly wind speed in each pixel area. These
  changes in wind speeds affect the regional and global flux values by about ±25%.
  The fluxes computed using the single year mean wind speed data for 1995 are
  listed in the second line in each column one grouping in the table.
The global ocean uptake estimated using the W-92 and the NCEP 41-yr mean wind
  speeds is –2.2 ± 0.4 Pg C yr
.
  This is consistent with the ocean uptake flux of –2.0 ± 0.6 Pg
  C yr
 during
  the 1990s (Keeling
  et al., 1996; Battle
  et al., 2000) estimated from observed changes in the atmospheric CO
 and
  oxygen variations.
The wind speeds for 1995 are much lower than the 41-year mean in the northern
  hemisphere and higher over the Southern Ocean. Accordingly, the northern ocean
  uptake of CO
 is
  weaker than the climatological mean, and the Southern Ocean uptake is stronger.
  The global mean ocean uptake flux of 1.8 Pg C yr
 using
  the NCEP-1995 winds is about 18% below the climatological mean of 2.2 Pg C
  yr
,
  but it is within the ±25% error estimated from the standard deviation
  of the 41-yr mean wind speed data.
When the cubic wind speed dependence (W&M-99) is used, the CO
 fluxes
  in higher latitude areas with strong winds are increased by about 50%, as are
  the errors associated with wind speed variability. The global ocean uptake
  flux computed with the 41-year mean wind speed data and the NCEP-1995 wind
  data is 3.7 Pg C yr
 and
  3.0 Pg C yr
 respectively,
  an increase of about 70% over the fluxes computed from the W-92 dependence.
  These flux values are significantly greater than the flux based on atmospheric
  CO
 and oxygen
  data (Keeling
  et al., 1996; Battle
  et al., 2000). However, the relative magnitudes of CO
 uptake
  by ocean basins (shown in % in the regional flux grouping in the last four
  rows of Table 2) remain nearly unaffected
  by the choice of the wind-speed dependence of the gas transfer velocity.
The distribution of winds can also influence the calculated gas transfer velocity.
  This is because of the nonlinear dependence of gas exchange with wind speed;
  long-term average winds underestimate flux especially for strongly non-linear
  dependencies. To avoid this bias, the relationships are adjusted by assuming
  that the global average wind speed is well represented by a Rayleigh distribution
  function. As noted by Wanninkhof
  et al. (2001), this overestimates the flux. A more appropriate way
  to deal with the issue of wind speed variability is to use short-term winds.
  If the NCEP 6-hour wind products are used, the global flux computed using the
  W&M-99 cubic wind-speed formulation decreases from 3.7 to 3.0
  Pg C yr
 for
  the NCEP 41-year winds and from 3.0 to 2.3 Pg C yr
 for
  the NCEP 1995 wind data.
The relative importance of the major ocean basins in the ocean uptake of CO
 may
  be assessed on the basis of the CO
 fluxes
  obtained from our pCO
 data
  and W-92 gas transfer velocity (Table 2 and Figure
  6). The Atlantic Ocean as a whole, which has 23.5% of the global ocean
  area, is the region with the strongest net CO
 uptake
  (41%). The high-latitude northern North Atlantic, including the Greenland,
  Iceland and Norwegian seas, is responsible for a substantial amount of this
  CO
 uptake while
  representing only 5% of the global ocean in area. This reflects a combination
  of two factors: the intense summertime primary production and the low CO
 concentrations
  in subsurface waters associated with recent ventilation of North Atlantic subsurface
  waters. The Pacific Ocean as a whole takes up the smallest amount of CO
 (18%
  of the total) in spite of its size (49% of the total ocean area). This is because
  mid-latitude uptake (about 1.1 Pg C yr
)
  is almost compensated for by the large equatorial release of about 0.7 Pg C
  yr
.
  If the equatorial flux were totally eliminated, as during very strong El Niño
  conditions, the Pacific would take up CO
 to
  an extent comparable to the entire North and South Atlantic Ocean. The southern
  Indian Ocean is a region of strong uptake in spite of its small area (15% of
  the total). This may be attributed primarily to the cooling of tropical waters
  flowing southward in the western South Indian Ocean.
Figure 6. Distribution of the climatological mean annual sea-air CO
 flux
    (moles CO
 m
 yr
)
    for the reference year 1995 representing non-El Niño conditions. This
    has been computed using the mean monthly distribution of sea-air pCO
 difference,
    the climatological NCEP 41-year mean wind speed and the wind-speed dependence
    of the CO
 gas
    transfer velocity of Wanninkhof
    (1992). The yellow-red colors indicate a region characterized by a net
    release of CO
 to
    the atmosphere, and the blue-purple colors indicate a region with a net uptake
    of CO
 from
    the atmosphere. This map yields an annual oceanic uptake flux for CO
 of
    2.2 ± 0.4 Pg C yr
.
To understand the role of the oceans as a sink for anthropogenic CO
,
  it is important to determine the distribution of carbon species in the ocean
  interior and the processes affecting the transport and storage of CO
 taken
  up from the atmosphere. Figure 7 shows the typical
  north-south distribution of DIC in the Atlantic, Indian, and Pacific oceans
  prior to the introduction of anthropogenic CO
.
  In general, DIC is about 10–15% higher in deep waters than at the surface.
  Concentrations are also generally lower in the Atlantic than the Indian ocean,
  with the highest concentrations found in the older deep waters of the North
  Pacific. The two basic mechanisms that control the distribution of carbon in
  the oceans are the solubility and biological pumps.
Figure 7. Zonal mean pre-industrial distributions of dissolved inorganic
    carbon (in units of µmol kg
)
    along north-south transects in the Atlantic, Indian and Pacific oceans. The
    Pacific and Indian Ocean data are from the Global CO
 Survey
    (this study), and the Atlantic Ocean data are from Gruber
    (1998).
The solubility pump is driven by two interrelated factors. First, CO
 is
  more than twice as soluble in cold polar waters than in warm equatorial waters.
  As western surface boundary currents transport water from the tropics to the
  poles, the waters are cooled and absorb more CO
 from
  the atmosphere. Second, the high-latitude zones are also regions where intermediate
  and bottom waters are formed. As these waters cool, they become denser and
  sink into the ocean interior, taking with them the CO
 accumulated
  at the surface.
The primary production of marine phytoplankton transforms CO
 and
  nutrients from seawater into organic material. Although most of the CO
 taken
  up by phytoplankton is recycled near the surface, a substantial fraction, perhaps
  30%, sinks into the deeper waters before being converted back into CO
 by
  marine bacteria. Only about 0.1% reaches the seafloor to be buried in the sediments.
  The CO
 that
  is recycled at depth is slowly transported over long distances by the largescale
  thermohaline circulation. DIC slowly accumulates in the deep waters as they
  travel from the Atlantic to the Indian and Pacific oceans. Using a 3-D global
  carbon model, Sarmiento
  et al. (1995) estimated that the natural solubility
  pump is responsible for about 20% of the vertical gradient in DIC; the remaining
  80% originates from the biological pump.
The approaches for estimating anthropogenic CO
 in
  the oceans have taken many turns over the past decade. Siegenthaler
  and Sarmiento (1993) summarized early approaches for estimating the anthropogenic
  sink in the oceans, including ocean models of various complexity, atmospheric
  measurements and transport models used together with pCO
 measurements
  and estimates based on changes in oceanic 
C
  and oxygen mass balance. They noted the wide range of ocean uptake estimates
  (1.6–2.3 Pg C yr
)
  and concluded that the larger uptake estimates from the models were the most
  reliable.
The first approaches for using measurements to isolate anthropogenic CO
 from
  the large, natural DIC signal were independently proposed by Brewer
  (1978) and Chen
  and Millero (1979). Both these approaches were based on the premise that
  the anthropogenic DIC concentration could be isolated from the measured DIC
  by subtracting the contributions of the biological pump and the physical processes,
  including the pre-industrial source water values and the solubility pump.
Gruber
    et al. (1996) improved the earlier approaches by developing the 
C*
    method. This method is based on the premise that the anthropogenic CO
 concentration
    (Cant) can be isolated from measured DIC values (Cm)
    by subtracting the contribution of the biological pumps (
Cbio),
    the DIC the waters would have in equilibrium with a preindustrial atmospheric
    CO
 concentration
    of 280 ppm (Ceq280), and a term that corrects for the fact that
    surface waters are not always in equilibrium with the atmosphere (
Cdiseq):
Cant = Cm – 
Cbio – Ceq280 – Cdiseq = 
C* – 
Cdiseq.             (2)
The three terms to the right of the first equal sign make up 
C*,
  which can be explicitly calculated for each sample. The fact that 
C*
  is a quasi-conservative tracer helps remedy some of the mixing concerns arising
  from the earlier techniques (Sabine
  and Feely, 2001). The 
Cdiseq term
  is evaluated over small isopycnal intervals using a water-mass age tracer such
  as CFCs.
We have evaluated anthropogenic CO
 for
  the Atlantic, Indian, and Pacific oceans using the 
C*
  approach. Figure 8 shows representative sections
  of anthropogenic CO
 for
  each of the ocean basins. Surface values range from about 45 to 60 µmol
  kg
.
  The deepest penetrations are observed in areas of deep water formation, such
  as the North Atlantic, and intermediate water formation, such as 4050°S.
  Integrated water column inventories of anthropogenic CO
 exceed
  60 moles m
 in
  the North Atlantic (Figure 9). Areas where older
  waters are upwelled, like the high-latitude waters around Antarctica and Equatorial
  Pacific waters, show relatively shallow penetration. Consequently, anthropogenic
  CO
 inventories
  are all less than 40 moles m
 in
  these regions (Figure 9).
Figure 8. Zonal mean distributions of estimated anthropogenic CO
 concentrations
    (in units of µmol kg
)
    along north-south transects in the Atlantic, Indian and Pacific oceans. The
    Pacific and Indian Ocean data are from the Global CO
 Survey
    (this study), and the Atlantic Ocean data are from Gruber
    (1998).
Figure 9. Zonal mean anthropogenic CO
 inventories
    (in units of moles m
)
    in the Atlantic, Indian and Pacific oceans.
Data-based estimates indicate that the oceans have taken up approximately 105 ± 8 Pg C since the beginning of the industrial era. Current global carbon models generally agree with the total inventory estimates, but discrepancies still exist in the regional distribution of the anthropogenic inventories. Some of these discrepancies stem from deficiencies in the modeled circulation and water mass formation. There are also a number of assumptions in the data-based approaches regarding the use of constant stoichiometric ratios and time-invariant air-sea disequilibria that may be inadequate in some regions. These are all areas of current research. Anthropogenic estimates should continue to converge as both the models and the data-based approaches are improved with time.
As CO
 continues
  to increase in the atmosphere, it is important to continue the work begun with
  the Global Survey of CO
 in
  the Ocean. Because CO
 is
  an acid gas, the uptake of anthropogenic CO
 consumes
  carbonate ions and lowers the pH of the ocean. The carbonate ion concentration
  of surface seawater in equilibrium with the atmosphere will decrease by about
  30% and the hydrogen ion concentration will increase by about 70% with a doubling
  of atmospheric CO
 from
  pre-industrial levels (280 to 560 ppm). As the carbonate ion concentration
  decreases, the buffering capacity of the ocean and its ability to absorb more
  CO
 from the
  atmosphere is diminished. Over the long term (millennial time scales) the ocean
  has the potential to absorb as much as 85% of the anthropogenic CO
 that
  is released into the atmosphere. Because the lifetime of fossil fuel CO
 in
  the atmosphere ranges from decades to centuries, mankind's reliance on fossil
  fuel for heat and energy will continue to have a significant effect on the
  chemistry of the earth's atmosphere and oceans and therefore on our climate
  for many centuries to millennia.
Plans are being formulated in several countries, including the United States,
  to establish a set of repeat sections to document the increasing anthropogenic
  inventories in the oceans. Most of these sections will follow the lines occupied
  during the WOCE Hydrographic Programme on which JGOFS investigators made CO
 survey
  measurements. The current synthesis effort will provide an important baseline
  for assessment of future changes in the carbon system. The spatially extensive
  information from the repeat sections, together with the temporal records from
  the time-series stations and the spatial and temporal records available from
  automated surface pCO
 measurements
  on ships of opportunity, will greatly improve our understanding of the ocean
  carbon system and provide better constraints on potential changes in the future.
The authors are grateful to the members of the CO
 Science
  Team and the JGOFS and WOCE investigators for making their data available for
  this work. We thank Lisa Dilling of the National Oceanic and Atmospheric Administration
  (NOAA) Office of Global Programs, Don Rice of the National Science Foundation
  and Mike Riches of the Department of Energy (DOE) for their efforts in coordinating
  this research. This work was supported by DOE and NOAA as a contribution to
  the U.S. JGOFS Synthesis and Modeling Project (Grant No. GC99-220) and by grants
  to Taro Takahashi from NSF (OPP-9506684) and NOAA (NA16GP01018). This publication
  was supported by the Joint Institute for the Study of the Atmosphere and Ocean
  (JISAO) under NOAA Cooperative Agreement #NA67RJO155, Contribution #832, and
  #2331 from the NOAA/Pacific Marine Environmental Laboratory. This is U.S. JGOFS
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