Isotopic Methods to Estimate Marine Productivity
We have two projects that are focused on using isotopic measurements to estimate the rate of biological carbon production and export from the photic layer of the ocean. The first one uses 13C/12C of dissolved inorganic carbon (DIC) to estimate net export rates of photosynthetically produced organic carbon. The second project uses measurements of the 18O/16O and 17O/16O of dissolved oxygen to estimate gross photosynthesis rates in the surface ocean. In this discussion δ13C is often used to represent the 13C/12C, where δ13C (‰) = [(13C/12C)x / (13C/12C)std –1]*1000 and x represents the sample and std represents the standard (PDB).
Using 13C/12C of DIC to Estimate Biological
Carbon Export Rates
The 13C/12C
of DIC in the photic layer primarily depends on three processes: biological
organic carbon production, upwelling and mixing of waters from below and
air-sea CO2 gas exchange. Upwelling and mixing at the base of the
mixed layer lower the 13C/12C of the DIC. In contrast, net biological production of
organic carbon during photosynthesis increases the 13C/12C
of the DIC. (Biological formation of
CaCO3, because there is little fractionation during this process,
has little effect on the 13C/12C of the DIC.) Air-sea CO2 gas exchange drives
the 13C/12C toward atmospheric equilibrium. Air-sea CO2 exchange tends to
lower the 13C/12C in the subtropical ocean and raise the 13C/12C
in the polar oceans (Fig. 1). In the
subtropical N. Pacific, the 13C/12C of DIC is much higher
(by up to 2 ‰) than expected at air-sea equilibrium (Fig. 1) and is maintained
by the export of organic carbon out of the surface photic layer.

(Fig. 1)
At the
times series station ALOHA (23°N 158°W), we have measured the 13C/12C
and concentration of DIC at monthly intervals over the last six years. These data give us a clear picture of the
seasonal cycle of these parameters (Fig. 2).
Coupling the time rate of change of the 13C/12C
and concentration of DIC allows us to make two DIC budgets for the mixed layer,
i.e., one for DIC and one for DIC13. Basically, there are three terms in these two budgets, one each
for air-sea CO2 gas exchange, net biological export and upward DIC
mixing from below. If we estimate the
air-sea CO2 gas transfer rate based on wind speed measurements and
measure the partial pressure of CO2 gas in the surface water, we can
estimate the net air-sea CO2 flux.
Once this CO2 flux is determined, we use the DIC and DIC13
budgets to solve for the remaining two terms, that is, the biological carbon
export and upward DIC flux. (We also
account for horizontal advection of DIC and DIC13 using measured horizontal
gradients and estimates of geostrophic and Ekman transport.) At station ALOHA, the net rate of air-sea CO2
gas exchange, biological carbon export and upward DIC flux required to explain
the summertime DIC decrease and 13C/12C increase (Fig. 2)
are 0.2, 7.2, and 4.1 mmoles m-2 d-1, respectively.


(Fig. 2)
Using 17O/16O and
18O/16O of Dissolved Oxygen Gas to Estimate Biological
Photosynthesis Rates
The oxygen isotope method makes use of a naturally occurring ocean-wide isotope labeling experiment to determine both gross and net primary production rates. The method depends on the observation that tropospheric O2 has an anomalously low 17O/16O relative to that expected based on its measured 18O/16O. Typically, most natural processes fractionation isotopes in a mass-dependent manner, i.e., the fractionation effect for 17O/16O is expected to be about half (0.521) the fractionation for 18O/16O because 17O is one mass unit greater than the common oxygen isotope (16O) and 18O is two mass units greater. The 17O/16O anomaly for tropospheric oxygen is the result of a mass-independent fractionation that occurs in the stratosphere during reactions between O2, O3 and CO2 induced by UV radiation. These reactions cause stratospheric CO2 to have a higher 17O/16O, and stratospheric O2 to have a lower 17O/16O, than expected if these reactions had fractionation effects that were mass-dependent. Stratosphere-troposphere mixing brings this anomalous 17O/16O tagged O2 into the troposphere.
The 17O/16O deviation or anomaly from that expected via mass-dependent fractionations is defined as D17O = 1000*(d17O –0.521*d18O), where d17O and d18O represent the 17O/16O and 18O/16O in per mil (‰) (Luz et al., 1999). Since this mass-independent 17O/16O anomaly is small, the units for D17O are parts per million or per meg (i.e., 1000* ‰). By convention, the D17O of O2 in tropospheric air is defined to have a D17O equal to zero (Luz et al., 1999).
Photosynthesis produces O2 with a mass-dependent 17O/16O and 18O/16O. As the amount photosynthetically produced O2 increases, the D17O value increases since a D17O=0 (by definition) represents O2 in air with the anomalously low 17O/16O. If the O2 was entirely produced via photosynthesis it would have a D17O=249 per meg. Luz et al. (2000) determined this value experimentally by measuring the D17O of O2 produced by marine plankton and corals. Thus oceanic surface waters will have a D17O somewhere between 0 and 249 per meg depending on the relative rates of air-sea O2 gas exchange (which drives D17O towards 0 per meg) and gross photosynthetic O2 production (which drives D17O towards 249 per meg). Thus if the rate of air-sea O2 gas exchange is estimated, e.g., from wind speed measurements, then the rate of gross primary productivity (PPg) is determined from measurements of D17O. Luz and Barkan (2000) showed that for a mixed layer where biological production (and consumption) of O2 and air-sea O2 exchange are the only processes affecting O2, i.e., mixing is ignored, then gross PP equals:
PPg = G*O2sat *[D17O –D17Oeq] / [D17Ophoto – D17O] (1)
Where G is air-sea gas transfer rate, O2sat is the O2 concentration expected in equilibrium with the atmosphere, D17Oeq is the D17O expected for dissolved O2 in equilibrium with the atmosphere (+16 per meg) and D17Ophoto is the D17O of photosynthetically produced O2 (+249 per meg).
The rate of net primary productivity (PPn) is obtained by simultaneously measuring the O2 saturation levels due to biological activity along with D17O. (In this case, PPn represents the gross primary production minus community respiration.) The biologically produced O2 saturation is determined from measurements of O2 and Ar saturation levels where the Ar saturation represents the proportion of the O2 saturation that is due to physical processes (gas exchange, warming, mixing). The biologically produced O2 saturation is essentially represented by the difference between the O2 and Ar saturation levels (Emerson et al., 1991). If air-sea O2 gas exchange is the only process affecting O2 concentrations in the mixed layer, then the O2 and Ar saturation levels would both be 100%. If gross primary production exceeds net community respiration, i.e., PPn>0, then the O2 saturation exceeds Ar saturation and vice-versa. Bender (2000) shows graphically the relationship between D17O and the degree of O2 saturation (expressed as O2/O2sat) as a function of the ratio of net to gross PP (PPn/PPg) for a mixed layer where mixing effects were negligible (Fig. 3).

(Fig. 3)
Our recently funded project focuses on making Δ17O
measurements several times during an annual cycle at the ALOHA time series
station near Hawaii. This station is
the site of a decade long biogeochemical study of carbon cycling in the
subtropical N. Pacific. In particular,
monthly measurements of primary production rates (using 14C) and
particulate organic carbon sinking rates (from sediment traps) occur at
ALOHA. We intend to begin these
measurements in spring 2002. We will
also make in vitro measurements of gross primary production rates using 18O
labeled water following the procedures of Bender (199?). These measurements should begin towards the
end of 2001. Our goal is to determine
the rates of gross primary production using in situ Δ17O and in
vitro 18O techniques and compare these rates to primary production
rates estimated from 14C bottle measurements.
Bender, M.L. 2000. Tracers from the sky. Science 288: 1977-1978.
Bender M., J. Orchardo, M-L. Dickson, R. Barber and S. Lindley. 1999. In vitro O2 fluxes compared with 14C production and other rate terms during the JGOFS equatorial Pacific experiment. Deep-Sea Res. 46: 637-654.
Luz, B., E. Barkan, M.L. Bender, M.H. Theimens and A. Kristie. 1999. Triple isotope composition of atmospheric oxygen as a tracer of biosphere productivity. Nature 400: 547-550.
Luz, B. and E. Barkan. 2000. Assessment of oceanic productivity with the triple isotope composition of dissolved oxygen. Science 288: 2028-2031.