13  The Ocean and its CO2 uptake

Author: Fabrice Lacroix

13.1 Role in the Climate System

The ocean constitutes of around 70 % of the Earth’s surface. It plays a vital role in the climate system through its large storage of heat and carbon (Talley et al. 2011a), provides a basis for enormous amounts of marine species, and provides important socioeconomic services vital to both regional and global economies, global food supply and human wellbeing.

Since the preindustrial time period, the ocean has taken up and stored over 90 % of excess anthropogenic heat, which arises from the Earth’s atmosphere energy imbalance induced by rising greenhouse gas concentrations. It also buffers the atmospheric rise in greenhouse gas concentrations due to human emissions, since it accounts for an uptake of around 30 % of global anthropogenic carbon emissions (Friedlingstein et al. 2024). Both of its uptake of heat and carbon mean that increasing atmospheric CO2 concentrations and climate warming would be substantially more severe without the role of the ocean in the climate system.

The ocean serves as a habitat for numerous marine species, and is important for socioeconomic services, with over 40 % of the global population living within a range of 100 km from the coast. Climate warming and other human-caused disruptions, such as eutrophication, are affecting this vital space on Earth, and endangering its ecosystems, such as corals.

The importance of the ocean in regulating the climate and its multidimensional anthropogenic drivers change, is essential for a closer understanding of how the climate is changing and its impacts.

Figure 13.1: Global ocean basins (left subfigure) and distribution of ocean depths (negative values) versus land elevations (positive values), shown in right subfigure. From Talley et al. (2011b)

13.2 Stratification and Ocean Circulation

Ocean mixing and circulation governs its uptake, transport and storage of heat and carbon between latitudes. It is also important for its transfer from the surface ocean, which is in close exchange with the atmosphere, to the deeper ocean, which consists of the long-term storage component of the ocean. Since the ocean is for the most part well stratified, meaning that waters of low density sit above waters of low density Figure 13.2. In such a case, the exchange between surface and deeper ocean is limited. The amount of heat and carbon that can reach the deeper ocean and be stored in this large deeper volume, is thus strongly limited. However, there are also areas where surface waters are mixed into the deeper ocean, called areas of deep convection, which play a significant role for ocean carbon and heat storage. These areas, where waters can penetrate to over 1000m depth (usually the mixed surface layer is around 100m on average), are found in the North Atlantic and Southern Ocean(Talley et al. 2011a). Here, the cooling of surface waters increase their densities, making them heavier and more likely to sink. Changes in salinity, owing to precipitation, evaporation or sea ice melt/formation, also impact water densities and the rate to which surface waters can enter the ocean.

Figure 13.2: Scheme of stratified ocean (left) and deep convection areas (right).

Ocean circulation in the surface ocean is largely driven by winds (Figure 13.3 a). For instance, coastal currents off the coast of Portugal are driven by winds, as well as subtropical gyres. An interesting phenomena of wind-driven circulation, is that waters are always transported at an angle of 90° to the wind, owing to combined wind stress and the Earth’s rotation. An interesting and biologically-important example of this is found in Eastern Boundary Upwelling Systems (EBUS), where coastal parallel winds drive waters from the coast. To compensate this horizonal flow away from the coast, waters are drawn up from below. Since these waters are not only cold, but also nutrient rich, EBUS areas are zones of highest marine productivity globally. Reconstructions of surface circulation based on satellite retrievals of temperature, heat and salinity fields were performed by NASA.

There is also a slower and thorough large-scale circulation driven by density gradients in the ocean, which essentially mixes the entire ocean. This slow circulation with a timescale of over one thousand years is referred to as thermohaline circulation, and it constitutes of both flows at the surface (for instance the Gulf Stream), which convects into the deeper ocean in both Atlantic and Pacific/Southern Ocean (Figure 13.3 b). Deep ocean streams end up in the Southern Ocean after hundreds of years, where they eventually resurfaces.

Figure 13.3: Drivers of ocean circulation. Panel a shows the mechanisms leading to wind-driven circulation and mixing, from Talley et al. (2011b). Panel b shows the slow circulation through the entire ocean driven by density gradients (thermohaline circulation), Source WikiComms.

13.3 Ocean Heat Uptake

The ocean has taken up hundreds of zetajoules of heat since the preindustrial time period as a result of the increasing Earth energy imbalance caused by greenhouse gas emissions (Figure 13.4). The ocean’s large role for heat storage is due to the physical characteristics of water, combined with its large-scale circulation and vast storage volume. Its large heat capacity (Cp = 4’184 J kg-1 °C-1) allows for larger storage of heat per volume at a given temperature than all other liquids and solids, with the sole exception of NH3.

Table 13.1: Key ocean water characteristics compared to air, at a 20°C reference temperature and 1 atm reference pressure
Physical Properties Air Seawater
Density [kg m-3] 1.225 1026
Dynamic Viscosity [ kg m-1 s-1] 1.789 * 10-5 1.230 * 10-3
Thermal Conductivity [W m-1 K-1] 0.026 0.596
Specific Heat Capacities J kg-1 °C-1 1005 4184
Sound Velocity [m s-1] 349.0 1543.0

Heat is taken up through air-sea exchange at the ocean’s surface. The surface ocean is thus the largest storage term of anthropogenic heat, but part of it is also transferred to the voluminous deeper ocean, where it is stored over the long-term due to very slow circulation at greater depths. This heat in the deep ocean remains isolated from any contact with the atmosphere for centuries, making the process very important in the context of climate change.

Due to the expansion of water with increasing temperature, ocean heat uptake is responsible for around half of historical changes in sea level, with the other half arising from enhanced freshwater inputs to the ocean through glacier runoff, icesheet and sea ice melting. Strong increases in temperature caused by heat uptake also can have adverse effects on marine organisms through thermal stress, for instance causing the bleaching of corals, or by reducing the amount of oxygen available for aerobic species, such as fish. Temperature also influences carbon exchange as shown in the following subsection.

Figure 13.4: Change in energy inventory for different components of the Earth’s climate system from 1960 to 2018, in ZJ. From Schuckmann et al. (2023)

13.4 Ocean Carbon Fluxes

The ocean is also the largest reservoir of carbon. Its uptake of CO2 plays an important role in regulating the Earth’s climate, which is relevant to current climate change, as well as paleo climate events. An overview of carbon fluxes is given in figure Figure 13.5.

Figure 13.5: Quantative overview of ocean carbon pools and fluxes. Natural fluxes are given in black, anthropogenic perturbation in red. From Resplandy, Lévy, and Bopp (2026)

The uptake of CO2 by the ocean occurs through surface exchange between ocean and the atmosphere. Thus the dissolution of atmospheric CO2 into seawater is driven by two distinct processes pathways: carbonate chemistry (solubility pump) and biological fluxes (biological pump). The former comprises of the chemical balance of inorganic carbon in seawater, whereas the latter is driven by uptake of carbon via photosynthesis and the degradation (remineralization) of this organic matter in the ocean. Both are greatly important for natural carbon fluxes in the ocean, but the uptake of anthropogenic CO2 is thought to be currently dominated by the solubility pump, which is driven by dissolution and carbonate chemistry (Resplandy et al., 2026).

13.4.1 Carbonate chemistry (Solubility Pump)

Carbonate chemistry is a major driver of carbon storage in the ocean and the dominant pathway of anthropogenic CO2 uptake by the ocean through its “Solubility Pump” Figure 13.6.

Figure 13.6: Carbonate chemistry and the solubility pump of the ocean, based on Williams and Follows (2011) .

Firstly, gaseous CO2 in the atmosphere can dissolve into seawater. This process is driven through the equilibrium states of gaseous CO2 and dissolved CO2 concentration in sea water. The equilibrium of gaseous CO2 in the atmosphere and dissolved CO2 in seawater is dictated by Henry’s law:

\[ \begin{align} \frac{CO_{2,(aq)}}{pCO_{2}} \Leftrightarrow K_{H} \end{align} \tag{13.1}\]

Applying only Henry’s law with KH = 3.4 × 10−2 and pCO2 = 400 ppm would however lead to a 100-fold underestimation of carbon storage in the ocean. This is because of the buffer effect caused by the carbonate system. Dissolved \(CO_{2}\) and water firstly form \(H_{2}CO_{3}\). At sea water pH levels however, the majority of newly formed \(H_{2}CO_{3}\) dissociates to bicarbonate \(HCO_{3}^{-}\):

\[ \begin{align} CO_{2} + H_{2}O \Leftrightarrow H_{2}CO_{3} \end{align} \tag{13.2}\]

\[ \begin{align} H_{2}CO_{3} \Leftrightarrow HCO_{3}^{-} + H^{+} \end{align} \tag{13.3}\]

The equilibrium of the reaction is thus given by:

\[ \begin{align} pK_{1} = \frac{[HCO_{3}^{-}] * [H^{+}]}{CO_{3}^{-2}]} = 3 \end{align} \tag{13.4}\]

This reaction is very favorable at oceanic pH levels with a pKa of 3, meaning a much larger fraction of \(HCO_{3}^{-}\) than \(H_{2}CO_{3}\).

The \(HCO_{3}^{-}\) can further dissociate to \(CO_{3}^{-2}\):

\[ \begin{align} HCO_{3}^{-} \Leftrightarrow CO_{3}^{2-} + H^{+} \end{align} \tag{13.5}\]

With the equilibrium of the reaction given by:

\[ \begin{align} pK_{2} = \frac{[CO_{3}^{2-}] * [H^{+}]}{HCO_{3}^{-}]} = 10.3 \end{align} \tag{13.6}\]

Although this reaction is not favorable at oceanic pH levels at a pKa of 10.3. The sum of all carbonate species (CO2(aq), H2CO3, HCO3-, CO32-) comprises dissolved inorganic carbon (DIC). Figure 13.7 shows the fraction of the different DIC species to the total DIC as a function of solute pH. The figure shows that at a pH level typical for seawater (around pH=8.1), the majority of DIC is present under the form of HCO3-. This means that with higher atmospheric CO2, the increased CO2(aq) will quickly react to form HCO3-, allowing for more atmospheric CO2 to be dissolved in the water. The mechanism is referred to as carbonate buffering.

Figure 13.7: Fraction of different DIC species (O2(aq), H2CO3, HCO3-, CO32-) to total DIC, from Barker and Ridgwell (2012).

A byproduct of equations Equation 13.2 and Equation 13.4 is the increase of seawater hydrogen ions (H+) concentrations are increased, which is referred to as acidification. Acidification is notable to reduce rates of CO2 uptake due to reducing the carbonate buffer of the ocean, and have adverse effects on organisms such as corals.

Generally, the buffering capacity of the ocean through carbonate chemistry is referred to as carbonate alkalinity. While alkalinity in general is the sum of bases minus acids in a solution, carbonate alkalinity (Ac) can be reduced to:

\[ \begin{align} A_{c} = HCO_{3}^{-} + CO_{3}^{2-} + OH^{-} - H^{+} \end{align} \tag{13.7}\]

Higher alkalinity means that the ocean can better compensate for an increase of H+.

The carbonate system is firstly affected by temperature, which pushes the speciation equilibrium of Figure 13.7 to the left, meaning that less CO2 can be stored in seawater with higher temperatures. In addition, Figure 13.7 also directly shows that a lower pH, meaning higher acidification, the buffer capacity of the ocean is reduced, reducing its potential to take up CO2.

13.4.2 Biological Fluxes (Biological Pump)

Algae in the ocean takes up dissolved carbon in the ocean through photosynthesis. In the photosynthesis process, organic carbon is produced by algae, using water and dissolved CO2 from the sea water. The produced biomass can in turn be respired during maintenance or autotrophic repiration of the algae, or after excretion or mortality, by zooplankton or bacteria, and returned to the ocean as dissolved inorganic carbon (remineralization, Figure 13.8). Carbon stored through the biological production of organic carbon is generally only lost from exchange with the atmosphere once the organic carbon particles sink to deeper depths, where waters are not mixed with the surface any longer . This sinking of the carbon is isolated from exchange with atmosphere over long timescales of thermohaline circulation, and can even be deposited and buried in the sediment. The loss of carbon from the atmosphere through this chain of biological processes is referred to as the “biological pump”.

Figure 13.8: Biological carbon uptake and mineralization in the ocean. The total loss of carbon from the atmosphere through this pathway is called the biological pump. Source: US-OCB.

Biological productivity in the ocean is strongly limited by light availability and nutrient concentrations. As a result, biological productivity is only found in the euphotic zone of the ocean, which is defined as depths to which light penetrates into the ocean and usually reaches around 100 m depth. Spatial patterns of productivity in the ocean show a large degree of seasonality due to the light limitation. However, “deserts” of biological productivity can be found in multiple areas of the ocean, which then owes to lack of nutrient supply. For instance, subtropical areas remain extremely low in productivity all year around due to low nutrient availability. In contrast, coastal areas where deeper waters supply vast amounts of nutrients (e.g. Californian coast, around the Canary islands, coast of Peru and Namibia) are some of the most biologically active areas in the ocean.

Past and future changes in the biological drawdown and storage of carbon in the ocean remains strongly uncertain, despite it’s large natural fluxes. While models generally agree that the biological productivity will decrease with additional climate warming, the magnitude of this decrease is strongly variable.

13.5 Ocean Carbon Sink

The ocean is responsible for around 25 % (2.7 Pg C yr-1) of anthropogenic carbon uptake. This carbon sink has steadily increased over time with atmospheric CO2 concentrations, the primary driver of this increasing carbon flux to the ocean. Historical model and inversion data show minor saturation of the carbon sink can be observed over the historical time period (Gruber et al. (2023)), which could owe to impacts of increasing temperature and acidification on the sink driven by carbonate chemistry. Figure Figure 13.10 shows areas of the natural CO2 flux in different basins of the ocean (blue) and the anthropogenic perturbation of the CO2 flux (red).

Figure 13.9: Ocean carbon uptake. Panel a shows the cumulative global ocean carbon uptake over time. Panel b shows the cumulative global ocean carbon uptake in different basins. Panel c shows the relationship of cumulative global ocean carbon uptake with atmospheric CO2 levels, from Gruber et al. (2023).

Research has shown that ocean areas that contribute disproportionally to the ocean carbon sink are regions where waters are cooled by the atmosphere and which can generate very deep mixing. For instance, in the North Atlantic and Southern Ocean, surface waters can be mixed to hundreds of meters below the surface. The response of such regions to atmospheric warming, or increased stratification with icesheet melting, which could disrupt the deep mixing of these waters, could strongly disrupt the ocean storage of carbon, and is thus an important area of research.

Figure 13.10: Basin profile showing natural carbon exchange of ocean regions with atmosphere (blue arrows), anthropogenic carbon uptake (red arrow), and anthropogenic carbon storage in the ocean (concentrations in the profile), from Gruber et al. (2023) .
CautionExercise
  1. Compute wind stress for different wind speeds of 0,5,10,15,25,30 m s-1 with the following equation: \[ τ = ρ * C_{d} * W \]

    with density of air = 1.3 kg m-3

    Cd (Drag coefficient) = 1.4 x 10-3 m-3

    W = wind speed in m s-1

    Make a plot with wind speed on X-axis and wind stress on Y-axis.

  2. Compute the heat uptake of the surface ocean since 1960 assuming: a density of 1,025 kg/m-3, a volume of 3.6 × 1016 m-3, and a temperature rise of 0.5 °C.

  3. How much DIC would be dissolved in the ocean following solely Henry’s law (Equation 13.1), thus ignoring further buffering through carbonate chemistry?

  4. What is the concentration of DIC (in [mol kg-1]) dissolved in the surface ocean in mol kg−1 (assuming full carbonate chemistry, and neglecting biological fluxes), assuming an equilibrium state, pCO2 = 278 10-6 atm and a pH of 8.1. To do this, combine equations Equation 13.4) and Equation 13.6). Compare this answer with the answer in 3 without carbonate system buffering.

  5. How much DIC (in [g C]) is stored in the surface ocean in absolute terms? Assume a surface ocean depth of 100 m, a surface of 3.16 × 1014 m2, a density of density of seawater ρ0 = 1024.5 kg m−3, and a molmass of 12 g C mol-1. Use the DIC concentration calculated in 3., or if not solved, use [DIC]= 2000 × 10−6 mol kg−1.

  6. Describe how the oceanic biological carbon pump can respond to climate warming? What are the implications of this change?