Daily, seasonal, and interannual variability of sea surface carbon and nutrient concentration in the Equatorial Pacific ocean

D. E. Archer

	Department of Geophysical Sciences
	University of Chicago 
	Chicago, Ill 60637

T. Takahashi, S. Sutherland, J. Goddard, D. Chipman, K. Rodgers, 
and H. Ogura

	Lamont-Doherty Earth Observatory
	of Columbia University
	Palisades, NY 10964

Abstract

We present measurements of the partial pressure of CO2 in sea water (pCO2), total dissolved inorganic carbon concentration (CO2), and alkalinity made during the JGOFS Survey I (TT007, February-March 1992) and Survey II (TT011, August-September 1992) expeditions. JGOFS data are compared with data from the Hawaii-Tahiti Shuttle Experiment (HTSE, February, 1979 through June, 1980). The Survey I and II expeditions took place during and after the el Ni o event of 1992, while HTSE occurred during mild el Ni o to near climatological conditions. The Survey I and II sea surface temperatures are among the warmest and coldest, respectively, in the combined JGOFS and HTSE data set, and sea surface concentrations of the biological tracers NO3 and pCO2 from JGOFS bracketed the HTSE data with lower concentrations during Survey I and higher values during Survey II. However, the air-sea contrast in pCO2 was diminished in 1992 due to rising atmospheric values.

The variability of sea surface concentrations of biological tracers seems to be primarily controlled by the physical structure of the water column. In a comparison of HTSE and JGOFS data (decadal time scale) or Survey I and II data (seasonal / ENSO time scale), the concentrations of the tracers on constant-density (isopycnal) surfaces is nearly time invariant, so that the variation in sea surface concentrations is controlled by the outcropping of isopycnal surfaces. On the time scale of the station occupation (diurnal to a few days), variation in replicate measurements of pCO2 is correlated with variation in density, again indicating physical rather than biological control of pCO2 variability. These findings make an interesting contrast to JGOFS North Atlantic Bloom Experiment results [Chipman et al., 1993], where recent local biological forcing was found to dominate chemical variability. The implication of this finding is that a physical understanding of the equatorial Pacific circulation may be sufficient to make predictions of short-term variability in air-sea pCO2 fluxes in this region. Some minor exceptions to the rule of physical control of sea surface chemical properties include a freshwater cap just south of the equator which follows the sea surface, rather than any density surface, and Si, which appears to vary seasonally independently of the other biological tracers NO3, CO2, and O2.

Based on the relationship between the alkalinity and CO2 in the upper 400 meters of the water column, about 13% of CO2 increase with depth is due to the dissolution of CaCO3, 65% to the oxidation of biogenic debris, and 23% to increasing solubility of CO2 in colder waters. The relationship between CO2 and O2 in equatorial surface waters during Survey II indicates a vigorous circulation with overturning timescale of only a few days.

1. Introduction

The equatorial Pacific ocean represents a significant portion of the ocean / atmosphere CO2 system [Chavez et al., 1987] and is the largest regional source of ocean CO2 degassing to the atmosphere [Takahashi et al., 1986; Tans et al., 1990]. The sensitivity of sea surface pCO2 to climatic forcing is attested to by the impact of the ENSO cycles on pCO2 [Feely et al., 1987], and by the apparent change in equatorial production during the last glacial period [Arrhenius, 1988; Archer, 1991; Murray et al., 1993]. The central goal of the JGOFS EqPac program is to document and understand the physical and biological processes that control the pCO2 of surface waters and hence the flux of CO2 from the ocean to the atmosphere [Murray et al., 1992].

The JGOFS EqPac program was fortunate to find el Ni o conditions during Survey I and a return to more climatological conditions during Survey II. We present an analysis of carbonate system measurements including pCO2, CO2, and alkalinity from both cruises. The data are compared with the observations made during the Hawaii-Tahiti Shuttle Experiment (HTSE) program conducted from February, 1979 through June, 1980, a period of mild ENSO to near climatological conditions. Ultimately, we will use JGOFS data in conjunction with numerical and theoretical methods to attempt to answer the questions in the preceding paragraph. Our immediate goal in this paper, however, is to present and synthesize the data into a coherent descriptive framework.

2. Methods

At each of 15 stations on each cruise, samples from all 24 Niskin bottles of at least one "CO2" CTD cast were analyzed at sea for pCO2 and alkalinity, and in the laboratory for CO2. In addition, every second bottle was analyzed for pCO2 from virtually every routine CTD, for a coverage of 20 m vertical resolution to a depth of 130 m, 4 times per day, averaging 6 casts per station. All of the data presented here is available for public access on the JGOFS data archive system (accessible at URL address http://www1.whoi.edu/jgofs.html). A detailed discussion of the calibration and quality assurance of the JGOFS CO2 data is given by Takahashi et al. (in preparation).

Temperature, salinity, oxygen, nutrients, alkalinity and CO2 were measured during the HTSE program by the staff of the Physical and Chemical Oceanographic Data Facility of the Scripps Institution of Oceanography [Williams, 1981a; 1981b; 1981c; 1981d]. The HTSE program consisted of a total of 15 legs between Hawaii and Tahiti along 156oW, 153oW and 150oW. Nutrients and oxygen were measured during all odd numbered legs plus Leg 14, and Alkalinity and CO2 were measured during Leg 3 (April-May, 1979) and Leg 9 (November, 1979). Sea surface pCO2 was measured by the Lamont group during five periods; Leg 3 (April-May, 1979), Leg 5 (June-July, 1979), Leg 9 (November, 1979), Leg 11 (January, 1980) and Leg 14 (April-May, 1980).

2-a) pCO2

A total of 1776 samples were analyzed in duplicate at sea for pCO2 in sea water. Each 500 ml sea water sample was kept at 20.00oC in a constant temperature bath and equilibrated with a circulating gas of known CO2 concentration [Chipman et al., 1993]. After about 15 minutes of recirculation, the concentration of CO2 in the gas phase was determined by a gas chromatograph equipped with a flame ionization detector. While the precision of the chromatographic determination of CO2 was about +/-0.1%, the overall precision of measurements of pCO2 in sea water, which includes water sampling and handling, is estimated to be about +/-0.7% (or +/-2.5 uatm) on the basis of 41 pairs of simultaneously collected samples from the surface mixed layer (defined as waters with temperatures within 0.5 oC and salinity within 0.1). pCO2 was corrected to in situ temperature using

ln pCO2 / T = 4.23 % C-1

as determined by Takahashi et al. [1993]. Subsurface pCO2 values reported in this paper are corrected to potential temperature, and thus represent the pCO2 which the sample would have if it were adiabatically raised to the sea surface (potential pCO2).

HTSE pCO2 was measured using a similar method. A 20-liter sea water sample was collected in a Pyrex jar, and about 2 liters of marine air was recirculated for about 15 minutes, until equilibration. A 200 ml gas sampling flask, equipped with a stopcock at each end, was inserted in the gas circulation circuit. At the end of equilibration, the gas sampling flask was isolated by closing the stopcocks and shipped to LDEO for CO2 measurements. Because of the large volume of water sample, its temperature was generally within 1oC of the in situ value and stayed constant during the equilibration process. During HTSE, only surface water pCO2 values were measured. Based on the analyses of replicate samples, the precision of the measurements was estimated to be +/-2.5 uatm. Since HTSE pCO2 data were calibrated on the same CO2 concentration scale as JGOFS, they are directly comparable.

2-b) Total CO2

A total of 573 stored samples from the "CO2" CTD casts were analyzed coulometrically in the laboratory for CO2 (defined as the sum of [CO2]aq, [HCO3-] and [CO3=]). Water samples were poisoned with mercuric chloride and sealed in 250-ml Pyrex bottles equipped with ground glass stoppers. The results of a 200-day storage test showed that the CO2 concentration in bottled samples remained unchanged within our analytical precision of +/-1.5 umol kg-1 [Takahashi et al., in preparation]. In addition, a reproducibility of +/-0.05% (or +/-0.94 umol kg-1) was observed for 20 pairs of mixed layer samples. We have also determined a number of the SIO Certified Reference Solutions provided by Andrew Dickson of the Scripps Institution of Oceanography. The mean of our measurements for each of two batches of the reference solutions (10 measurements for Batch #6 and 67 measurements for Batch #15) agrees with the respective manometric measurements by C. D. Keeling within 0.6 umol kg-1.

During HTSE, the CO2 was measured by means of the potentiometric acid titration method which was used for the GEOSECS program. Although the precision of CO2 measurements was about +/-10 umol kg-1, they are subject to systematic errors of up to 26 umol kg-1, attributable to instrumental blanks [Takahashi et al., 1981] and imperfections of the aqueous solution model used for interpretation of titration data [Bradshaw et al., 1981].

2-c) Total Alkalinity

Total alkalinity was measured at sea by potentiometric acid titration on 729 samples from the "CO2" CTD casts. The titrator was based on the design of Bradshaw et al. [1981], and was calibrated at sea several times during each expedition using standard NIST tris solutions as working standards. Measurements were usually made in duplicate with a reproducibility of +/-0.08% for Survey I and +/-0.12% for Survey II. The seagoing tris standardization was corrected upward by 0.605% based on subsequent Na2CO3 calibration at LDEO. Our measurements of Batch #15 SIO reference solutions yielded a value of 2194.0+/-0.4 ueq kg-1 (N=4) which compares with 2198 ueq kg-1 determined by F. Millero of the University of Miami (personal communication).

The HTSE alkalinity data were obtained by a similar method and calibrated against Na2CO3 solutions with an estimated precision of +/-4 ueq kg-1. However, due to minor differences in the data reduction procedures and treatment of calibration blanks, the HTSE data may be systematically lower than the JGOFS data by several ueq kg-1.

2-d) Internal Consistency of Carbonate Chemistry Data

When the solubility of CO2 in sea water, the dissociation constants of carbonic, boric, silicic and phosphoric acids and the concentration of boric, silicic and phosphoric acids are known at a given temperature and salinity, the carbonate system in sea water may be determined if two of the following four parameters are known: pCO2, CO2, alkalinity, and pH. In a separate manuscript, Takahashi et al. (in preparation) compare the pCO2 data with computed values based on measured alkalinity and CO2 for a total of 415 samples collected down to 2000 meters depth. While there are subtle differences between the various dissociation constants for carbonic and boric acids which affect the comparison, Takahashi et al. find a broad consistency between the pCO2, CO2, and alkalinity data, lending confidence to the independent calibrations of the three analyses.

3. Results and Analysis

The effect of el Ni o on the sea surface expression of transects of temperature, nitrate, and pCO2 can be seen in Figure 1. SST during JGOFS brackets the HTSE data, occupying the high range during ENSO condition of Survey I, and the low range during Survey II. We see correspondingly depleted values of NO3 and pCO2 characteristic of the warm oligotrophic waters during Survey I and elevated "deep water" values during Survey II. It is interesting to note that sea surface pCO2 data from JGOFS bracket the HTSE data, consistent with temperature and NO3, in spite of the nearly 30 uatm increase in atmospheric pCO2 between these two expeditions. This similarity suggests that thermocline ventilation of CO2 lags behind the atmospheric increase.

JGOFS data are placed within the framework of the entire HTSE data set in Figure 2 and Table 1, where we compile mean surface water values, 10oN to 10oS and 140oW to 160oW, from HTSE and JGOFS. Open circles are from HTSE plotted on an axis of time at the bottom of the figure, and filled circles indicate JGOFS data with time along the top axis. Figure 2 shows that, with the exceptions of the nitrate concentration and AOU observed during August-September, 1992, JGOFS data are within the range of variation observed in February, 1979 through June, 1980. The exceptionally high nitrate and AOU values observed during JGOFS are attributable to the outcropping of especially dens subsurface waters and are discussed below. With an exception of AOU, the HTSE data show no clearly recognizable annual cycle.

The variation in the pCO2 value normalized to a constant temperature of 20o C reflects mainly changes in the total CO2 concentration in seawater. The spring 1992 el Ni o value (262 uatm) is one of the lowest observed, reflecting an influx of low CO2 western Pacific waters, and is similar to the November, 1979 value, which represents a weak el Ni o event. The value for fall, 1992 (297 uatm) is highest in the data set and is attributed to the outcropping of dense waters rich in CO2 and nutrients. In contrast, the mean pCO2 value of 373 uatm at in situ temperature for the 1992 el Ni o is similar to that of 389 uatm observed in the fall, 1979. This is due primarily to the effect of warm temperature counteracting the effect of low CO2 waters of el Ni o conditions. Therefore, the effect of el Ni o on the equatorial source for atmospheric CO2 depends not only on the CO2 concentration in the western equatorial Pacific water but also on the temperature of water.

When the data are subjected to detailed examination, a picture emerges of primary control over sea surface biological tracer variability by the density structure of the water column and the outcropping of isopycnal surfaces. The time scale of outcropping control of chemistry ranges from the station occupation time (hours to several days) to seasonal (Survey I vs. Survey II) and decadal time scales (JGOFS vs. HTSE).

3-a) Temperature, Salinity, and Density of Sea water

For reference, we begin our analysis of the JGOFS data with an examination of the physical variables T, S and density. Figure 3 shows sections of these variables interpolated onto depth surfaces. For all depth sections in this paper the contours of the variable of interest are overlaid by shading that scales with the vertical gradient in density, /z. The depth and stratification intensity of the thermocline trace the shape of a large "W" in the water column, with a shallower manifestation at the equator and in higher latitudes (>12o). The sections reveal the influx of high salinity Subtropical Underwater from the South, which has salinities as high as 36.5, in a depth range of 50-300 m, and low salinity waters at the surface from the North Pacific. The downward slope of isopycnal (constant sigma) surfaces away from the equator in both hemispheres indicates the South Equatorial Current, and the surfaceward return of the sigma surfaces north of 5o N is the signature of the Counter Current.

Ocean water masses mix and flow most efficiently on surfaces of constant density. In order to visualize the data within the context of density surfaces we interpolated the data onto a vertical coordinate of sigma-theta () in Figures 4 a-b. The top plot is contours of pressure (depth), and below that are temperature and salinity. As with the depth sections, we can see the mixing of salty water from the south at of 23 - 25 in all transects (JGOFS and HTSE). The boundary between the gray stippled areas at the tops of the plots and the contoured areas below is the sea surface. In both JGOFS and HTSE, the data is marked by a lower sea surface density in the north in boreal fall, caused presumably by summer heating in the Northern hemisphere. However, this effect is much stronger in the JGOFS data set. In the equatorial zone of 5oN - 5oS, the sea surface cuts most deeply into space (the highest density water outcrops) during JGOFS boreal fall. No corresponding effect is seen in the HTSE fall transect. Thus the highest and lowest sea surface density values are found in the Survey II transect, and the point of contact between these two regions is located at 2o N, the site of the "great convergent front" [Yoder et al., 1994], (Archer et al., manuscript in preparation).

To first order, it appears as though the temperature structure of the water column as a function of density is unchanged from boreal spring to fall, and the changing expression of temperature at the sea surface is a result of outcropping higher sigma surfaces at the sea surface. This is not strictly correct; the salinity-temperature structure near the surface differs between boreal spring and fall. In Survey I (bottom left in Fig. 4-a), a 75-meter-thick low salinity water which has density less than 23.5 and salinity less than 34.25 caps the area north of about 8oN. During Survey II (bottom right in Fig. 4-a), waters in this area become much lighter (a density of about 21.5), and the 34.25 salinity contour follows the sea surface. The regional T/S plots for 4oN - 12oN in Fig. 5 show that the T/S relationship observed during Survey I is indistinguishable from that observed during Survey II for the densities greater than 22, but differs from the fall data only for waters with densities less than this value. The fall light water may be formed by warming and evaporation of the spring water, or may represent a warmer and more saline water transported laterally.

In the south of the equator, the T/S plots for 4oS - EQ in Fig. 5 show that the T/S relationships are unchanged from Survey I to II for waters more dense than 23.5, and that seasonal changes are confined to waters lighter than this density. Since the salinity for the light water remains also nearly constant from the spring to the fall, the fall water may be formed by cooling of the spring water.

3-b) Nutrients

The dissolved nutrients NO3 and SiO2 [Garside et al., 1995; Murray et al., 1995] are primary tracers for and regulators of the carbon cycle. The time scales of dissolution of the biological tissue (NO3) and opaline shells (SiO2) of sinking plankton translate into redissolution depth scales, so that the SiO2 and NO3 fields are to some extent independent of each other. Another dissolved nutrient, PO4, redissolves along with NO3, so the NO3 and PO4 fields carry roughly the same information, and only NO3 will be shown.

The nutrient fields are shown interpolated into space (see above) in Figure 6. The location of the NO3 contours in space shows some variability from transect to transect but little systematic pattern of NO3/ variation, either between Survey I and II or between JGOFS and HTSE. Thus the higher NO3 expressed at the sea surface during Survey II (Figure 1) was a result of outcropping of denser water during this time. Line plots of the interpolated JGOFS NO3 values on density surfaces (Figure 7) are more revealing of the differences between the sigma / NO3 relationship between Survey I and II. While the values observed during the spring (el Ni o period) for north of about 5oN are similar to those obtained during the fall after the el Ni o, those for the equatorial belt and southern latitudes are different from each other. Within the equatorial belt, the spring values are greater than the fall values for the densities less than 24.5, whereas in the southern latitudes, the trend is not only reversed, but is also seen for all the density values shown in Fig. 7. This indicates that while the effect of ENSO on the nitrate field was confined to waters less dense than 24.5 in the equatorial belt (5oN - 2oS), it reached down to the deep water regime between 2oS and 12oS. The nitrate field north of 5oN was not affected. Since the nitrate concentration increases rapidly with increasing density, the nitrate field is sensitive to changes in vertical mixing. Therefore, the observed changes in the nitrate field further suggest that the dynamic adjustment of the flow field that occured following el Ni o involves not only zonal flows, but also vertical mixing in the area south of about 5oN.

During HTSE, the sea surface density contrast between boreal spring and fall was smaller, as was the contrast between sea surface NO3 values. For SiO2, we do see something of a systematic difference between the location of the contours in density space between boreal spring and fall. In both JGOFS and HTSE, boreal fall SiO2 contours are found at higher density than they are in the corresponding spring transects. We see no systematic difference between the density of the constant SiO2 surfaces during the corresponding seasons from JGOFS and HTSE. During JGOFS, two effects were conspiring to control the sea surface SiO2 concentration (Figure 1). During Survey I, in the south (the region of low sea surface NO3 and high temperatures), the SiO2 concentration at a given density was relatively high, but the density of the sea surface was low; these two effects canceled, and the result was that the sea surface SiO2 did not undergo the same decrease as did the sea surface NO3. In HTSE, there was no corresponding variation in sea surface , and sea surface SiO2 values were somewhat higher in boreal spring than fall. We are unable to determine, based on the available data, the cause of the apparent seasonal cycle in SiO2 relative to density.

3-c) Alkalinity and Total CO2

The pCO2 of sea water is determined by its alkalinity, CO2, temperature, and salinity through carbonate equilibrium chemistry. Since the equilibrium relations are nonlinear, pCO2 is not conservative to mixing (for example, combining a parcel of 200 uatm pCO2 water with equal parts of a parcel of 400 uatm pCO2 water will not necessarily yield a parcel of 300 uatm pCO2 water). Thus alkalinity and CO2 data are necessary to understand the factors that control pCO2.

The sea surface distributions of salinity-normalized alkalinity (Alk35) and CO2 (CO2 35) are shown in Fig. 8. Both the JGOFS alkalinity and CO2 values are within the respective ranges observed during the HTSE program, with an exception of Survey II data located between the equator and 3oN. CO2 35 shows an equatorial peak similar in shape to NO3, indicating the importance of biological soft-tissue control of CO2 values. Survey II values between the equator and about 3oN are higher than Survey I and HTSE values by about 50 umol kg-1, consistent with sea surface NO3 values (Figure 1). Sea surface Alk35 is nearly constant across the study area. The "potential alkalinity" (sum of total alkalinity and nitrate concentration [Brewer et al., 1976]) eliminates the effect of photosynthesis on alkalinity; sea surface values are plotted against salinity in Figure 9. Survey I and II trends may be approximated by the following linear regression lines;

Survey I: TALK (ueq kg-1) = 70.63 . (Sal) - 154.1

with a RMSD of 3.3 ueq kg-1; and

Survey II: TALK (ueq kg-1) = 73.96 . (Sal) - 270.3

with a RMSD of 4.1 ueq kg-1. Within the observed salinity range from 33.8 to 36.0, these two trends are indistinguishable. Also, there is no deviation of this relation from waters near the equator (at salinity values near 35), in spite of the outcropping of high alkalinity deep waters and the potential for high rates of production of calcareous organisms in equatorial waters. Apparently the signatures of circulation and biology are less obvious in alkalinity than in CO2.

Depth sections of alkalinity and CO2 are presented in Figure 10 (a). Storage or analysis problems ruined some of the CO2 data; missing values were filled with calculated estimates based on alkalinity and pCO2 for 125 samples from stations 2, 5, 12, and 14 (TT007) and 14 and 15 (TT011). The contours of these carbonate tracers closely followed the depth of the thermocline, indicated as before by shading scaled to /z. Anomalously low CO2 values occurred at the equator at 150 - 250 m depth (just below the thermocline), corresponding to the equatorial undercurrent. We see below that this chemical anomaly appears to reflect differences in atmospheric "ventilation" (gas exchange with the atmosphere) and to some extent biological production. Most of the observed variation in alkalinity is generated by freshwater dilution and evaporation, and can be removed by normalizing alkalinity to a constant salinity value of 35.0. Depth sections of normalized alkalinity and CO2 are presented in Figure 10 (b). The nearly 100 ueq variation in Alk from Figure 10 (a) collapses to a variation of only 20 ueq variation in Alk35 in Figure 10 (b), a value which approaches the analytical uncertainty in the determination of alkalinity (4 ueq kg-1). In order to highlight the real pattern of variation above the analytical uncertainty in Alk35, a single pass of an averaging smoother was performed prior to contouring. The normalized Alk35 and CO2 35 are still seen to be closely tied to the depth of stratification /z.

The factors that control the variability in alkalinity and CO2 can best be visualized in space (Figure 11 a). Alk35 was higher in the intermediate waters from the north (very old North Pacific Intermediate Water which also contains high concentrations of dissolved SiO2). As was observed for NO3, contours of CO2 35 in space are similar between Survey I and II, with the changing sea surface expression controlled by changing outcropping structure of the isopycnal surfaces. The equatorial undercurrent is found at a density of 26 - 26.5 at this longitude between 2oN and 2oS; the chemical anomaly of the undercurrent, i.e. about 50 umol kg-1 lower CO2 than its surroundings, can be seen in the 2150 umol kg-1 contour in Figs. 10-a and -b. The lower CO2 values reflect its source waters in the western equatorial Pacific, which are depleted in nutrients and low in CO2 (Takahashi et al., 1990).

Dissolution of CaCO3 and Oxidation of Organic Debris

The increase in CO2 concentration with depth is maintained against mixing and circulation by export of biologically produced organic matter and calcium carbonate, and by gas exchange (colder subsurface waters outcrop and exchange with the atmosphere at higher latitudes). These effects have been called the "soft tissue, hard tissue, and solubility pumps". We estimate the relative contributions of these mechanisms as follows. The surface - 400 m deep increase in CO2 35 is roughly 300 umol kg-1 (Figure 12). If we assume that for an abiological ocean, 400 m subsurface water would be at 12o C, have 2350 ueq kg-1 alkalinity, and be in equilibrium with atmospheric pCO2, then the resulting CO2 would be 2120 ueq kg-1. At the surface, pCO2 of 420 uatm at T=25oC and the same alkalinity gives CO2 of 2050 umol kg-1, with a resulting "solubility pump" CO2 contrast of something like 70 umol kg-1. The increase in potential Alk35 of 80-90 ueq kg-1 corresponds to a CO2 gradient of 40 umol kg-1 generated by the production and dissolution of CaCO3. Finally, assuming the classical Redfield ratio of NO3:C of 16:106, the 30 umol kg-1 contrast in NO3 implies a "soft tissue" biological pump contribution of 200 umol kg-1 CO2. The combined CO2 gradient predicted by this analysis (70 + 40 + 200 = 310) compares well with the observed total of ~300 umol kg-1, and the respective contributions of the soft- and hard-tissue and solubility pumps work out to be 65%, 13%, and 23% respectively. The ratio of organic carbon to calcium carbonate production is therefore about 5:1. This ratio, or perhaps our temporal resolution of the ratio, appears to be insensitive to El Ni o conditions.

In the upper 75 meters, CO2 increases by about 100 umol kg-1, whereas potential alkalinity values (2317 +/- 4 ueq kg-1) stay virtually unchanged. This indicates that net production or dissolution of CaCO3 in the upper layer is undetectably small, and hence the increase in CO2 is primarily due to oxidation of biogenic debris. In deeper waters down to 400 meters, alkalinity increases linearly with increasing CO2 concentration. The saturation depth for aragonite is located at about 200 meters depth, while calcite saturation is only reached at about 1000 meters [Millero, 1982]. This suggests that the alkalinity increase in the upper 400 meters can more easily be attributed to the dissolution of aragonite.

3-d) pCO2 and Oxygen

Sections of potential pCO2 (measured pCO2 values corrected to in situ potential temperature) and apparent oxygen utilization (AOU) from the "CO2" casts are presented as depth sections in Figure 13. As observed for the nutrient and CO2 distributions, both the pCO2 and AOU in the subsurface waters appear to be controlled by the position of the thermocline. There is a clear signature of the equatorial undercurrent in both fields between about 150 and 250 meters deep with lower AOU and pCO2 values. The data are gridded in space in Figure 14. The contours of pCO2 in density space appear to be independent of proximity to the sea surface, as was observed for nutrients, alkalinity, and CO2. However, the distribution of AOU provides an interesting contrast to these previous results. The zero contour for AOU (i.e. saturation with atmospheric oxygen) follows the density of the sea surface (Fig. 14). This difference must be due to the fast gas exchange equilibration time for oxygen relative to nutrient uptake rates by organisms or the gas exchange equilibration time of the buffered gas CO2.

Short Atmospheric Exposure Timescale of Cold Equatorial Waters

The exception to this generalization of atmospheric oxygen saturation in surface waters can be found at the equatorial sea surface during Survey II. Fig. 15 shows the covariance of the sea surface CO2 data with the AOU values from the same samples, from bottles < 30 m depth from JGOFS Survey I and II. In some of the Survey II samples, the oxygen concentration is seen to depart from atmospheric saturation (the AOU becomes positive). The slope of the observed AOU / CO2 relation is close to the classical Redfield respiration ratio -O2 : C value of -1.3 : 1. If we take the conclusion from the previous section that only 65% of the CO2 change in the upper 400 meters is accounted for by the soft tissue biological cycle, then the expected slope for a closed (subsurface) system would be -0.85 : 1.

Both gases, oxygen and CO2, are seen to depart from atmospheric saturation equilibrium in these sea surface samples. This disequilibrium allows us to take advantage of a difference in exchange times for the two gases to estimate the exposure timescale of the waters to the atmosphere. Upon exposure to the atmosphere, both oxygen and CO2 will begin to equilibrate toward atmospheric saturation values. A canonical gas exchange piston velocity is about 3 meters day-1. Given a piston velocity, the gas exchange rate of oxygen can be calculated as

Flux O2 [mol m-2 d-1] = k [m d-1] . O2 [mol m-3]

where k is an exchange coefficient, and O2 is the deviation from oxygen saturation. For total CO2, the exchanging species is CO2(aq), which constitutes about 0.5% of the total dissolved CO2 concentration. Under conditions of constant temperature and salinity, the exchange flux of CO2 can be calculated from the total CO2 concentration as

Net Flux CO2 [mol m-2 d-1] = k [m d-1] . . CO2 / CO2 ref . [CO2](aq)ref

where is the Revelle buffer factor, calculated to be 12 for the exposed = 23.6 surface water, CO2 is the deviation of total CO2 of the saturation value, CO2ref (taken here to 1990 uM kg-1), and [CO2](aq) ref is the dissolved CO2 gas concentration at atmospheric saturation, taken here to be 10.2 uM kg-1. The diagonal lines in the shaded region of Fig. 15 indicate the time evolution of the total CO2 / oxygen signature of a suite of recently exposed surface waters. The initial ratio of total CO2 / oxygen variability is labeled "Initial (Subsurface)". In the course of 5-20 days, the faster equilibration of oxygen drives the covariation toward a flat ratio, as observed in the rest of the Survey I and II data sets. The exposure time could be a factor of two longer if we assume a mean mixed layer depth of 60 m rather than 30 meters.

We conclude that the surface exposure time of the high nutrient, high pCO2 equatorial surface waters during JGOFS Survey II was only on the order of 5-20 days at the time of their observation. Since the return of the equatorial cold tongue was observed remotely several months before the JGOFS Survey II cruise (based on TOGA-TAO sea surface temperature data), the undersaturation was driven by a short residence time of water at the sea surface, rather than recent exposure of waters of this density. This conclusion is significant for two reasons. Firstly, the rest of the JGOFS Survey II data set, including the dissolved thorium and the biological and ecological data, were also taken during these conditions, and knowledge of this special circulation may affect their interpretation. Secondly, the subduction of nutrient-rich waters is a process which has special significance to understanding the dynamics of the carbon cycle in the thermocline. Consider a parcel of water at the sea surface, with zero nutrients and in atmospheric equilibrium in CO2. The parcel is subducted and gains nutrients and CO2 by respiration of sinking biological particles. If this parcel is brought to the surface again and held there until biological activity has depleted the nutrient stock completely, the excess CO2 typical of thermocline water is incorporated into biogenic particles and pumped to depth, resulting in zero net flux to the atmosphere (neglecting any temperature change and its effect on CO2 solubility). If on the other hand the parcel is exposed to the atmosphere but subducted before its nutrients are completely utilized, a net flux of CO2 from the thermocline to the atmosphere is allowed to occur. In other words, ventilation and subduction of high-nutrient waters may constitute a "leak" in the biological pump. Unfortunately, without knowledge of the spatial or temporal extent of this "leak", it is difficult to assess its impact on the steady state chemistry of the thermocline.

Short Time Scale Variability in Surface Water pCO2

Replicate pCO2 measurements in our JGOFS EqPac data set are especially abundant in the upper 130 meters of the water column, with samples at 20 m resolution from virtually every routine CTD from both cruises. Using these replicate data, we can show that density variations exert a fundamental control of short term (diurnal) upper ocean pCO2 variations in both the Survey I and II data sets. The results of this analysis are given in Table 2. We begin by sorting the pCO2 data into categories of latitude and depth. Since the replicate data are spaced in 20 meter depth intervals in the vertical, we binned the data into 20 meter intervals at each station, and determine the mean pCO2 value within each bin. The total standard deviation of the data set was taken to be the root mean square deviation of each data point from its bin mean. We next calculated the standard deviation of both data sets when binned by NO3 concentration, in increments of 1.0 umol kg-1, and density, in increments of 0.25 units, rather than by depth. The intervals in NO3 or were chosen to be appropriate for comparison with the depth-binned results. When the increment value is too small (the binning is too fine), many of the data points fall into bins with n=1, leading to their elimination from the calculation. When the interval value is increased, the total number of populated bins decreases, biasing the calculation to higher variance (with fewer populated bins, a wider range of pCO2 values will be found in a given bin).

The depth variance from both data sets ranged from 6-7% of the mean, while the nitrate and density binned variance was 2-3% of the mean (which is still larger than the single cast mixed layer variance of ~0.7%, taken to be a measure of analytical uncertainty). The NO3 binning of the replicate pCO2 data resulted in a halving of the data set variance. This is not surprising, since variations in NO3 are thought to reflect the effect of biological export on pCO2. The interesting observation is that the variance is nearly identical between the NO3 and the binning exercises, which indicates that is as good a predictor of pCO2 as is NO3. In other words, since density might control NO3 but no mechanism exists for NO3 control of density, the primary controller of local variability is not local biological processes, but rather the local sea surface expression of the regional density structure of the water column. This can be contrasted with observations during the North Atlantic Spring Bloom experiment [Chipman et al., 1993], during which local, recent biological production played a significant role in the evolution of sea surface pCO2 values.

Effect of El Ni o on the Revelle Buffer Factor

The relationship between the CO2 concentration and pCO2 in sea water may be expressed in terms of the Revelle factor ():

= ( ln pCO2 / ln CO2)

at constant temperature, salinity and other chemical properties. The Revelle factor is inversely related to the capacity of sea water to take up CO2 for a given increase in pCO2. In global surface ocean waters, is about 10 on the average ranging from 8 in low CO2 tropical surface waters to 12 in high CO2 polar waters. In deep water containing high CO2 concentrations, it reaches as high as 17 [Takahashi et al., 1980; Takahashi et al., 1993]. The value of can be calculated from a plot of the natural logarithm of pCO2 measured at 20oC and 35.00 salinity against ln(CO2 35) (Figure 16). The slope of the plots represents the Revelle factor value evaluated at a constant temperature and salinity.

Since the pCO2 values were measured at a constant temperature, no temperature correction is needed. On the other hand, the measured pCO2 values must be normalized to a constant salinity of 35 by considering the effect of salinity on the solubility of CO2 in sea water, the dissociation constants of carbonic and boric acids, and the concentration of boric acid. The correction is generally not large: a 1% increase in salinity would cause about 1% increase in pCO2 at constant temperature. We have derived the following relationship:

pCO2 (S=35) = pCO2 (S) . (35.00 / S)

where pCO2 (S=35) is the value at 35.00 salinity, pCO2 (S) is the value at salinity S, and where is defined (analogously to ) as

= ( ln pCO2 / ln Sal) = 1.15 - 6.45 x 10-4 . pCO2 (S).

A linear regression of the data yields a Revelle factor for the tropical surface water between 12oN and 12oS of 7.9+/-0.5 for Survey I and 9.3+/-0.1 for Survey II. Survey I data yield a greater uncertainty because of their smaller range in the data. Nevertheless, the difference between Survey I and II values is greater than two sigma and hence is statistically significant. The lower Revelle factor for the Survey I data can be accounted for by the influx of warm waters from the western equatorial Pacific during the 1991-92 el Ni o period. These western Pacific waters contain lower CO2 concentrations (1880 to 1900 umol kg-1) and have a Revelle factor of about 8 [Takahashi et al., 1988]. During Survey II a subsurface signature is observed in the sea surface value of .

4) Summary

To a first approximation, the data can be summarized as follows. During the ENSO event of Survey I, density surfaces that typically outcrop (i.e. during HTSE and JGOFS Survey II) are covered over with lighter water. The distributions of temperature, NO3, and carbonate system measurements appear to be controlled by water density, and plots of water chemistry in (as opposed to depth) coordinates show little systematic variability between Survey I and II or between JGOFS and HTSE. The variability in sea surface expression in those properties is therefore primarily caused by fluctuations in the outcropping structure of the density surfaces. This observation can be contrasted with the distribution of oxygen (AOU), which appears to be strongly influenced by proximity to the sea surface, with the exception of the Survey II equatorial surface waters, which appear to have been replenished by subsurface waters on times scales of only 5-20 days. We conclude that while the biological pump is responsible for the surface depletion in nutrients and CO2, mixing and circulation of water are fast enough in this region that local biological forcing is not detectable in local chemical signatures. If the biological pump were faster relative to circulation, the nutrient and carbon sections would resemble the oxygen distribution (and reflect proximity to the sea surface in addition to density control). Local chemistry is determined by local physics and regional (and time averaged) biology.

There are several exceptions to this generalization. First, in the equatorial region, especially just south of the equator, there is a freshening of the surface water that appears to follow the sea surface rather than traveling with a density surface. Second, there appears to be an annual cycle, observed in both JGOFS and HTSE transects, in the concentration of dissolved SiO2 as a function of density, with higher values in boreal spring than in fall. Given a constant outcropping structure, we would expect higher sea surface SiO2 concentrations in boreal spring, and in fact observe this in HTSE data. During JGOFS Survey I, lighter density surfaces outcropped, counteracting the tendency for higher boreal spring SiO2 concentrations, resulting in a nearly constant sea surface SiO2 between Survey I and II (in contrast to NO3).

We estimate based on the CO2, alkalinity, and temperature structure of the water column that the time averaged molar ratio of organic carbon to calcium carbonate productivity is about 5:1.

Acknowledgments

Nutrient data were generated by Chris Garside, who arguably deserved but declined co-authorship in this paper. Thanks to Rik Wanninkhof, Jim Murray, Dick Feely, and Tsung-Hung Peng for review and comments. This is JGOFS contribution number 182.

Citations

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Tables

Table 1. Mean equatorial surface water properties between 10oN and 10oS in a meridional range between 140oW and 160oW observed during the 1979-80 and 1992 program periods.

Legs  Year/   Julia  Temp   Sal.   PO4    NO3    SiO2   AOU    TCO2  TALK      pCO2 2    
              n                                                                      
                                                                                        
      Month   Date1  (oC)          ---------- umol kg-1 ----------   (ueq      (uatm)    
                                                                     kg-1)               
                      1979-90 Hawaii Tahiti Shuttle Experiment                        
1     2/79    47     26.51  34.83  0.44   2.72   2.64   -3.2                              
3     4/79    107    27.86  35.08  0.42   2.46   2.49   -10.9  19903  2321      401/290   
5     7/79    182    27.99  35.11  0.43   2.38   1.94   -3.4                    393/280   
7     9/79    242    27.90  35.10  0.41   2.14   1.56   -6.1                              
9     11/79   316    28.07  35.06  0.39   2.03   2.01   -3.9   19613  2306      364/260   
11    1/80    21     27.79  35.12  0.37   2.12   1.66   -1.9                    397/288   
13    3/80    89     27.99  35.07  0.40   2.12   2.06   -4.4                              
14    4/80    123    28.46                                                      389/272   
15    6/80    152    28.57  35.12  0.38   1.75   2.12   -8.1                              
                      1992 JGOFS Equatorial Pacific Experiment                        
7     2/92    52     28.29  34.96  0.40   1.63   2.48   -2.9   1960   2313      373/262   
11    9/92    241    26.55  34.89  0.37   3.06   1.73   +4.1   1980   2305      389/297   

1Middle date for each expedition, which is generally 30 days long.

2(pCO2 in sea water at in situ temperature) / (pCO2 in sea water normalized to 20.0oC).

3These CO2 values were obtained using the potentiometric acid titration method, and are not on the same calibration scale used for the JGOFS program.

Table 2. A statistical analysis of the variation in surface ocean pCO2: the variance of the replicate pCO2 data set when binned by station and by depth or by density. The number of samples differs between the depth and the sigma binning because samples in bins where n=1 were excluded. The number of bins is smaller for the density binning, which by itself should tend to make the variance larger, since the data are compared with fewer common mean values. The variance is calculated as the root mean square difference between each data point and its bin mean. Relative total variance is the total variance divided by the total data set mean value.

                            TT007                TT011                              
                   depth         NO3     density       depth         NO3     density  
                                          (sigma                              (sigma  
                                          units)                              units)  
Bin Interval        20 m   1.0  umol        0.25  20 m         1.0  umol        0.25  
                                kg-1                       kg-1     
   N Samples         212         151  183         462         324         424         
      N Bins          79          28  40          79          43          64          
   Variance,        27.0        8.05  8.6         30.1        9.8         13.2        
      (uatm)                                                                          
   variance,        6.25        2.08  2.03        7.09        2.4         3.16        
         (%)