Journal of Oceanography, Vol. 60, pp. 5 to 15, 2004 Temporal Evolution of the North Pacific CO2 Uptake Rate CHRISTOPHER L. SABINE1*, RICHARD A. F EELY1, YUTAKA W. WATANABE2 and M ARILYN LAMB1 1 2 NOAA/PMEL, 7600 Sand Point Way NE, Seattle, WA 98115, U.S.A. Graduate School of Environmental Earth Science, Hokkaido University, Sapporo 060-0810, Japan (Received 10 September 2003; in revised form 29 November 2003; accepted 30 November 2003) The recent changes in the North Pacific uptake rate of carbon have been estimated using a number of different techniques over the past decade. Recently, there has been a marked increase in the number of estimates being submitted for publication. Most of these estimates can be grouped into one of five basic techniques: carbon time-series, non-carbon tracers, carbon tracers, empirical relationships, and inverse calculations. Examples of each of these techniques as they have been applied in the North Pacific are given and the estimates summarized. The results are divided into three categories: integrated water column uptake rate estimates, mixed layer increases, and surface pCO 2 increases. Most of the published values fall under the water column integrated uptake rate category. All of the estimates varied by region and depth range of integration, but generally showed consistent patterns of increased uptake from the tropics to the subtropics. The most disagreement between the methods was in the sub-arctic Pacific. Column integrated uptake rates ranged from 0.25 to 1.3 mol m –2yr–1. The mixed layer uptake estimates were much more consistent, with values of 1.0–1.3 µ mol kg–1yr–1 based on direct observations and multiple linear regression approaches. Surface pCO 2 changes showed the most obvious regional variability (0.5–2.5 µ atm yr–1) reflecting the sensitivity of these measurements to differences in the physical and biological forcing. The different techniques used to evaluate the changes in North Pacific carbon distributions do not completely agree on the exact magnitude or spatial and temporal patterns of carbon uptake rate. Additional research is necessary to resolve these issues and better constrain the role of the North Pacific in the global carbon cycle. Keywords: ⋅ Carbon cycle, ⋅ anthropogenic CO 2, ⋅ interannual variability, ⋅ North Pacific. ventories, respectively (Sabine et al., 2002). This relatively low inventory compared to the area of the North Pacific (nearly 25% of global ocean area) primarily results from the shallow ventilation of mode and intermediate waters. The deep waters of the North Pacific (>2000 m) are among the oldest in the global oceans and thus have not been exposed to anthropogenic CO2 contamination. Although the inventory estimates constrain the relative importance of the North Pacific’s ability to store anthropogenic CO2 over century time-scales, it does not directly give the anthropogenic CO2 uptake rate, or how the ocean sink has varied over time. Anthropogenic CO2 uptake rate can be estimated in two ways, either by examining the net transfer of CO2 into the ocean or by documenting changes in ocean carbon concentrations over time. In order to qualify as a net sink for anthropogenic CO2, however, there must be a net uptake of CO2 relative to the preindustrial fluxes. Given the spatial and temporal variability of the ocean carbon system, this can be very 1. Introduction The global CO 2 survey, conducted as a part of the World Ocean Circulation Experiment (WOCE) and the Joint Global Ocean Flux Study (JGOFS), was completed in the 1990s. These data have now been synthesized into a unified data set and used to estimate the total anthropogenic CO2 inventories of the major ocean basins (Johnson et al., 1998; Sabine et al., 1999, 2002; Feely et al., 2001; Lamb et al., 2002; Wanninkhof et al., 2003; Lee et al., 2003). The North Pacific Ocean is an important sink region for atmospheric CO2. Subtropical surface waters are estimated to have total anthropogenic CO2 concentrations of up to 40–50 µmol kg–1 and the total inventory of anthropogenic CO2 in the North Pacific is estimated to be 16.5 Pg C or 37% and 15% of the total Pacific and global in* Corresponding author. E-mail: [email protected] Copyright © The Oceanographic Society of Japan. 5 2. Approaches for Estimating CO2 Uptake Rate in the North Pacific Every study of the oceanic uptake rate of CO2 has one or more unique aspects to it. Either they use different data sets, examine different time periods, integrate over different depth intervals, or use different methods. This makes it very difficult to directly compare these different estimates. However, it can be useful to group the various estimates by general approach and consider the similarity or differences of these approaches. For this study we have grouped the techniques into five basic categories: carbon time-series, non-carbon tracers, carbon tracers, empirical relationships, and inverse calculations. 2.1 Carbon time-series approach One of the most direct ways to evaluate the ocean uptake rate of CO2 is to monitor temporal changes in high quality mixed layer dissolved inorganic carbon (DIC) or 6 C. L. Sabine et al. 340 320 320 300 300 280 280 260 260 240 240 220 220 200 200 Jan-92 Jan-94 Jan-95 Jan-96 Jan-97 Jan-98 Jan-99 Jan-00 Jan-01 180 Jan-02 Jan-93 Jan-94 Jan-95 Jan-96 Jan-97 Jan-98 Jan-99 Jan-00 Jan-01 Jan-02 Jan-93 Jan-94 Jan-95 Jan-96 Jan-97 Jan-98 Jan-99 Jan-00 Jan-01 Jan-02 Jan-93 AOU (µmol/kg : 27.3σθ) AOU (µmol/kg : 26.9-27.2σθ) (a) 2380 (b) DIC (µmol/kg) 2360 2340 2320 2300 2280 2260 Jan-92 2380 2370 (c) 2360 2350 2340 TA (µeq./kg) difficult to determine. There are no measurements to constrain the spatial patterns of the preindustrial fluxes or carbon distributions in the water column, but since atmospheric CO2 concentrations have varied by less than 20 ppm during at least the last 11,000 years prior to the anthropogenic perturbation (Indermühle et al., 1999; Flückiger et al., 2002), most researchers have assumed that the ocean carbon distributions and net air-sea flux was in steady state (e.g., Prentice et al., 2001). If this assumption is correct, then observations showing recent increases in the CO 2 flux into the ocean or increases in the ocean carbon concentrations can be attributed to anthropogenic CO2 uptake. Recently there has been a marked increase in the number of CO 2 uptake rate estimates being submitted for publication. This manuscript examines some of the recent estimates of CO2 uptake rates in the North Pacific. Although the techniques all agree that there has been a substantial increase in carbon over the past several decades the exact magnitude is not completely clear. Some of the differences may be related to the different techniques, but other potential changes in ecosystem structure, circulation, or carbon cycling may also complicate the interpretation of carbon data. We discuss the different approaches for estimating CO2 uptake rates that have been used in the North Pacific, including some of the pros and cons of the various techniques, so the reader can critically evaluate the range of estimates that are available in the literature. We do not attempt to summarize the various anthropogenic CO2 inventory estimates. Although the inventories are clearly related to the uptake rate estimates and the approaches are similar in some cases, anthropogenic inventories involve a different set of assumptions and have different limitations than the uptake rate estimates. 2330 2320 2310 2300 2290 2280 Jan-92 䊉 26.9 䊏 27.0 䉱 27.1 䉬 27.2 + 27.3 Fig. 1. Decadal changes of (a) AOU, (b) DIC and (c) TA on the 26.9σθ (ave. 230 m; solid circles), 27.0σθ (ave. 300 m; solid squares), 27.1 σθ (ave. 380 m; solid triangles), 27.2σθ (ave. 490 m; solid diamonds) and 27.3σθ (ave. 630 m; plus) surfaces at Station KNOT in the western sub-arctic Pacific observed during the period from 1992 to 2001. Linear regressions of the AOU, DIC and TA on the respective density surfaces (from Wakita et al., 2003). CO2 partial pressure (pCO 2) from multiple occupations at a given location. One of the earliest time-series estimations in the North Pacific was based on data from ocean Station Papa in the northeastern sub-arctic Pacific. Based on 5 years of pCO2 observations, Wong and Chan (1991) infer a small net sink of 0.7 mol C m–2yr –1 at Station P. However, the data did not indicate a change in the net sink with time. One of the difficulties of this approach is isolating the anthropogenic component of the signal from the steady state fluxes that were present during preindustrial times. The fact that no change in the net flux could be observed over the 5 year time series does not necessarily mean that anthropogenic CO2 was not being taken up, but that the natural seasonal and interannual variability in this region made it extremely difficult to Table 1. Decadal changes of DIC on the 26.9–27.3 potential density surfaces at Station Knot. The errors represent standard error of the slope of a least squares regression line. Isopycnal surface Ave. depth a (m) ∆DIC/∆T (µmol kg – 1 yr– 1 ) ∆DICan th /∆Tb (µmol kg – 1 yr– 1 ) ∆DICex cess/∆Tc (µmol kg – 1 yr– 1 ) ∆DICo rg /∆Td (µmol kg – 1 yr– 1 ) 26.9 27.0 27.1 27.2 27.3 230 ± 37 293 ± 41 379 ± 43 487 ± 48 626 ± 47 2.3 ± 1.0 2.6 ± 0.9 2.5 ± 0.9 1.3 ± 0.6 1.3 ± 0.6 0.6 ± 0.2 0.5 ± 0.1 0.6 ± 0.1 0.7 ± 0.1 0.6 ± 0.1 1.7 ± 1.0 2.1 ± 0.9 1.9 ± 0.9 0.6 ± 0.6 0.7 ± 0.6 0.8 ± 0.8 1.2 ± 0.8 0.8 ± 0.7 0.6 ± 0.5 0.5 ± 0.6 403 2.0 ± 0.8 0.6 ± 0.1 1.4 ± 0.8 0.8 ± 0.7 Average a The average depth and standard deviation of isopycnal surface. The estimated equilibrium change in DIC based on an atmospheric CO 2 increase of 1.8 ppm yr–1. c The difference between ∆DIC/∆T and ∆DIC anth/∆T. d The estimated change in DIC associated with changes in biology: RC:O∆AOU/∆T, where RC:O = 0.69 (Anderson and Sarmiento, 1994). b isolate the anthropogenic signal (Takahashi et al., 1993). One complicating factor in evaluating time series changes in pCO2 is the strong influence of temperature on the values. The DIC of the waters are not affected by changes in temperature, but are still influenced by changes in biology and mixing. A 10 year record of surface DIC measurements at Station P between 1987 and 1998 also did not indicate a clear anthropogenic increase (Wong et al., 2002); probably due to strong seasonal vertical mixing (Takahashi et al., 1993). A similar approach has been used to look at the first 3 years of data from the Kyodo western North Pacific Ocean Time-series (KNOT) program (Tsurushima et al., 2002). As with the Station P data, it is difficult to identify a clear increase in surface DIC with time because of the large seasonal signal (100, 69, and 12 µmol kg–1 at Knot, Station P, and HOT respectively) and strong interannual variability in mixing and productivity. Deeper in the water column, however, the signal is more evident. Wakita et al. (2003) has found that both DIC and apparent oxygen Utilization (AOU) have increased while TA remained constant during the last decade (Fig. 1). The increase of DIC (∆DIC/∆T, ave. 2.0 ± 0.8 µmol kg–1yr–1) was three times higher than expected based on the rate of atmospheric CO 2 increases over this time period (Table 1). The increases in AOU over time imply that there has been a net change in either export production/remineralization or ventilation in this region. By multiplying the change in AOU by the stoichiometric ratio of carbon to oxygen, one can estimate the effect of the changing biology on the DIC. The estimated biological effect was not able to account for all of the excess DIC (observed–equilibrium) increase (Table 1). Therefore, Watika et al. (2003) infer that there must be a net outgassing of non-anthropogenic CO2 due to weakening of ventilation processes. While surface carbon changes have been difficult to detect and interpret in the sub-arctic Pacific, anthropogenic increases in DIC have been clearly observed in the subtropical North Pacific. Winn et al. (1998) observed a 1.0 ± 2.9 µmol kg–1yr–1 average increase over the first 7 years of the Hawaii Ocean Time-series (HOT) program. The most recent estimates have been revised slightly upward, to 1.2 ± 0.2 µmol kg–1yr–1, based on 13 years of observations (Dore et al., 2003). A corresponding increase in the surface pCO2 values is also noted. Dore et al. cautioned, however, that the effects of climate variability on regional precipitation and evaporation patterns have a strong influence on the local carbon uptake signal. The longest time series of pCO2 measurements in the Pacific Ocean is from the central and eastern equatorial Pacific. From data collected in the 1980s and 1990s, Takahashi et al. (2003) observed that during the 1980s the pCO2 of equatorial surface waters was decreasing at a rate of about 2.0 µatm yr–1, while sea surface temperature (SST) was increasing; and during the decade of the 1990s the reverse was true, pCO2 was increasing at a rate of about 1.5 µatm yr–1 while SST was decreasing. These changes were attributed to changes in circulation and upwelling processes along the equatorial belt, changes in biological productivity, and/or some combination of these processes. Uptake rates inferred from the carbon time series approach vary not only as a function of time, but also spatially. Inoue et al. (1995) measured wintertime seawater pCO2 along a line from 3°N to 35°N at 137°E in the western North Pacific between 1981 and 1993 and found that the growth rate of seawater pCO2 north of 15°N was about the same as the atmosphere (~1.8 ± 0.6 µatm Temporal Evolution of the North Pacific CO 2 Uptake Rate 7 60 .25 40 Latitude ( N) yr–1), but south of 15°N it was significantly lower (0.5 ± 0.7 µatm yr–1). The data showed a south-to-north trend of increasing uptake rate of CO2 from 11°N to 31°N. This was the first description of regional variations of the CO2 uptake rate in the subtropical North Pacific. 20 .33 .25 .17 0 .25 -20 8 C. L. Sabine et al. .33 .42 .50 -40 -60 .58 '70s (1968-1978) .58 .58 < 60 .33 Latitude ( N) 40 .42 .50 20 0 .33 .17 .25 .33 -20 .42 .50 .58 .67 .75 -40 -60 '80s (1978-1988) .75< .75 60 40 Latitude ( N) 2.2 Non-carbon tracers approach An alternative approach for estimating the rate of increase of the oceanic CO2 is to monitor the changes in other (preferably conservative) tracers with similar atmospheric histories. The most common approach relies on the CFC dating technique (e.g., Watanabe et al., 2000). This approach uses the elapsed time from when the water lost contact with the atmosphere, as determined by CFC tracer age, together with the evolution of atmospheric CO2 concentrations to estimate the changes in ocean carbon uptake rate. The advantage of this technique is that one does not need to know or correct for the preindustrial fluxes as with the direct CO 2 measurements. Also, the measurements are not affected by biology which can complicate the interpretation of the direct carbon measurements. This can be a benefit, but this approach is only valid if an assumption of steady state biology can be made for the given time and spatial domains. One advantage of this technique is that if one assumes a steady state circulation, data from multiple cruises can be compiled to examine the large scale patterns in uptake rate. For example, Watanabe et al. (2000) compiled a dataset of approximately 25,000 samples from cruises run between 1986 and 1998 to determine the vertically integrated changes in Pacific carbon uptake rate over the last three decades as presented in Fig. 2. Because this approach is based on tracer ages throughout the water column, one can estimate full water column integrated uptake rates for differing time periods. The western North Pacific subtropical region exhibited a maximum in the CFC-calculated rate of increase of more than 0.7 mol C m–2yr–1 during the 1990s. While the trends in the CFC tracer age based CO2 uptake rates are generally consistent with the increasing rate of pCO2 change over the latitude range observed by Inoue et al. (1995), the CFC based estimates suggest a more complicated pattern of uptake rates than can be inferred from the published CO2 time series approaches. The CFC based estimates also show significant uptake rates in the subarctic Pacific where surface carbon measurements did not show obvious trends. The Watanabe et al. (2000) estimates showed significant increases in the uptake rates between the 1970s and the 1990s. A similar approach was used by McNeil et al. (2003) to calculate a global 20 year average anthropogenic CO2 uptake rate for the 1980s and 90s based on CFC data collected during the WOCE global survey. The McNeil et al. estimate for the North Pacific (0.39 ± 0.1 .58 .67 20 0 .50 .33 .42 .25 .42 .50 -20 .58 .67 .83 -40 -60 .75 .92 '90s (1988-1998) 100 120 140 1.0 < 160 0 1.0 180 0.17 200 0.42 220 240 0.67 260 280 300 0.83 ∆ vertically integrated carbon (mol C m-2 yr-1) Fig. 2. Distributions of the rate of increase of the anthropogenic CO2 in the Pacific based on the CFC method (mol C m–2yr–1) for (a) the 1970s, (b) the 1980s, and (c) the 1990s (adapted from Watanabe et al., 2000). mol C m–2yr–1), however, was somewhat smaller than the average Watanabe et al. uptake rate for this period (0.51 ± 0.09 mol C m–2yr–1). One potential problem with this approach is the direct reliance on the accuracy of the CFC age estimates. 2.3 Carbon tracers approach The advantage of the carbon time-series approach described in Subsection 2.1 is the fact that the carbon increase is directly measured, requiring fewer assumptions. The non-carbon tracer approach (Subsection 2.2), on the other hand, has the advantage of working with a conservative tracer that is not influenced by biology. A compromise approach still relies primarily on ocean carbon measurements, but uses thermodynamic and stoichiometric relationships to derive a carbon based quasi-conservative tracer. Perhaps the best example of this is the ∆C* tracer first described by Gruber et al. (1996). This tracer has historically been used to determine the total anthropogenic inventory since preindustrial times, but when applied to a time series data-set, the C* tracer can provide an improved estimate of the DIC uptake rate over time. The ∆C* method is based on a premise first proposed by Chen and Millero (1979) and Brewer (1978) that the anthropogenic CO2 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 pre-industrial atmospheric CO2 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): Canth = Cm – ∆Cbio – Ceq280 – ∆Cdiseq = ∆C* – ∆Cdiseq, (1) where: Canth= Anthropogenic carbon concentration; Cm = Measured total carbon concentration; ∆Cbio = Change in DIC as a result of biological activity (both organic and inorganic); Ceq280 = DIC of waters in equilibrium with an atmospheric CO2 concentration of 280 µatm; ∆Cdiseq = Air-sea difference in CO2 concentration expressed in µmol kg–1 of DIC. The three terms to the right of the first equal sign make up ∆C*, which can be explicitly calculated for each sample (i.e. ∆C* = C m – ∆Cbio – Ceq280). 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 (Sabine et al., 2002). The most difficult part of the ∆C* based total anthropogenic CO2 estimates is to properly determine the air-sea disequilibrium component (∆Cdiseq). When applied to time series type data, however, one can use the changes in ∆C* to directly evaluate the uptake rate without having to determine the disequilibrium component as long as one can assume that the disequilibrium term has remained constant over the time series. To demonstrate the utility of this approach, ∆C* was calculated for the 10 year time-series at HOT (Fig. 3). The total ∆C* value is an estimate of the anthropogenic inventory since preindustrial times. The changes in ∆C* over time represent the uptake rate of anthropogenic CO2. Evaluation at the Hawaii Ocean Time-series site shows essentially no changes in inventory below 800 m over the 10 year record. The inferred increases at 600, 400, and 200 m, however, were 0.9, 1.1, and 1.6 µmol kg–1yr–1, respectively. Regional changes in watermass properties in near surface Fig. 3. Contour map of ∆C* in the upper 1000 m as a function of time at the Hawaii Ocean Time-series station, ALOHA. Black dots indicate sample locations and times. waters, however, complicate the interpretation of the ∆C* calculations in the shallow waters. This approach also assumes a constant air-sea disequilibrium and constant Redfield stoichiometry that may not be valid under all circumstances. Similarly, changes in δ13C can be used to infer anthropogenic CO2 uptake by the ocean. This technique takes advantage of the fact that fossil fuel burning, ocean uptake, and uptake by the terrestrial biosphere all have unique isotopic signatures in δ13C. Quay et al. (1992) used the observed change in depth integrated δ13C inventory profiles between the 1970s and the 1990s to determine an oceanic CO2 uptake rate of 2.1 ± 0.8 Pg C yr –1. This number was refined to 1.5 ± 0.6 Pg C yr –1 by Quay et al. (2003) with the addition of ~25,000 δ 13C measurements collected during the WOCE global survey. Although Quay et al. do not break down their anthropogenic CO2 uptake rate estimates by region, the observed regional changes in isotopic composition can provide a qualitative assessment of the relative uptake rates. The δ13C of surface waters decreased at a rate of –0.24 ± 0.02‰ per decade at Station ALOHA since 1990 while essentially no change was observed in the sub-arctic Pacific (Sonnerup et al., 1999; Quay et al., 2003). Gruber et al. (1999) also estimate a smaller decrease of –0.15 ± 0.06‰ per decade in the tropical Pacific relative to the subtropical gyre. Quay et al. note similar features in the 13C inventories used to estimate the anthropogenic uptake, with the largest δ13C decreases observed in the North Pacific subtropical gyre and significantly smaller changes in the sub-polar and equatorial regions. The δ13C approach has the advantage over the carbon time series or ∆C* approaches in that generally the anthropogenic δ13C signal in the ocean is large relative Temporal Evolution of the North Pacific CO 2 Uptake Rate 9 to the seasonal variability compared to DIC or pCO 2 where the seasonal variations are much larger than the anthropogenic signal. The disadvantage is that although there appears to be a strong correlation between δ 13C and anthropogenic CO 2 on a global scale, this relationship varies significantly as one moves to smaller spatial scales. This is the reason why it is difficult to take the Quay et al. global uptake rates and scale them down to a North Pacific estimate. 2.4 Empirical relationship approach Another approach that also uses inorganic carbon measurements relies on an empirical relationship determined by evaluating a multiple linear regression (MLR) of inorganic carbon against other hydrographic parameters. This approach has been described in detail by Brewer et al. (1995), and subsequently others (Wallace, 1995; Slansky et al., 1997; Goyet and Davis, 1997; Sabine et al., 1999; Feely et al., 2003). In the MLR approach, DIC is fitted from one cruise as a function of common hydrographic parameters-salinity (S), potential temperature ( θ ), apparent oxygen utilization (AOU), silicate (Si(OH)4), and phosphate (PO4): DIC = aθ + bS + cAOU + dSi(OH)4 + ePO4. (2) The coefficients from this fit are then used to predict the DIC on the other cruises. The difference between the measured and predicted DIC is inferred to be due to the excess carbon taken up from the atmosphere. In this procedure, a statistical model is used to calculate the coefficients that describe the naturally occurring variations in oceanic CO2 as opposed to the inferred relationships from the carbon tracer techniques. The MLR approach is demonstrated here using a series of cruises (GEOSECS, NOAA ENP81, WHPs P16N, P15N, P2, P1, and NOPP) from Alaska to Hawaii between 30–50°N, and 140–180°W between 1973 and 1999. The DIC data used were corrected to Certified Reference Materials (CRMs) where available. The GEOSECS DIC data were also adjusted by –29 µmol kg–1 to account for known errors in these measurements (Takahashi et al., 1982; Takahashi, personal communication). After verifying the consistency of all the data in the deep waters, P16N was used as the reference station to derive the coefficients for the fit. Details of the analysis are given in Feely et al. (2003). Results are presented as changes relative to the reference station, P16N. The calculated increase in the mixed layer DIC was 1.3 ± 0.2 µmol C kg–1yr–1 (Fig. 4), very similar to the observed mixed layer changes at the Hawaii Ocean Timeseries site. The average uptake rate below the mixed layer down to a depth of 1250 m was 0.79 ± 0.4 µmol kg–1yr–1 (Fig. 5). The total 26 year integrated CO2 uptake rate from 10 C. L. Sabine et al. Fig. 4. Estimated change in DIC content in the North Pacific mixed layer between 30–50°N and 140–180°W. the surface to 1250 m is estimated to be 1.1 ± 0.4 mol C m–2yr–1. The empirical relationship approach has the advantage that it uses strong correlations with parameters not affected by anthropogenic CO2 to correct for modest water mass variations that complicate the interpretation of results in the carbon time series approach. It also has the advantage that it actually uses the data to derive the relationships rather than relying on independent estimates that may have been derived under different oceanographic conditions. The disadvantage of this approach is that it assumes the correlations derived from one cruise will apply to data collected at a different time or in a slightly different location. It is also susceptible to any errors or systematic biases between cruises for all of the parameters used in the fit. In other words, if there is a systematic bias between the oxygen values on one cruise relative to another, this will directly translate into an inferred change in carbon. 2.5 Inverse calculations approach This paper has focused on uptake rate estimates based on measurements made in the North Pacific and not on results from numerical models. Inverse models, however, combine a numerical transport model with ocean inventory measurements to infer air-sea fluxes and anthropogenic CO2 uptake rates. The inversion approach has been used for years in the atmospheric community (e.g., Gurney et al., 2002), but is relatively new to the ocean community. Gloor et al. (2003) have taken the DIC measurements from the WOCE/JGOFS global survey and the ∆C* based anthropogenic CO2 inventory estimates together with the Princeton ocean general circulation model to estimate the regional distribution of air-sea fluxes that Fig. 5. Comparison of North Pacific DIC binned residuals (µmol kg–1) from the bottom of the MLD to 1250 m. best represent the observed distributions of DIC and anthropogenic CO2. The preindustrial fluxes estimated by Gloor et al. (2003) showed a large efflux in the tropical Pacific with the remainder of the North Pacific acting as CO2 sinks (Fig. 6). Anthropogenic fluxes were into the ocean everywhere, but were the strongest (–0.25 Pg C yr–1) in the tropical Pacific (13°S to 13°N) relative to the North Pacific regions (–0.1 Pg C yr–1 for 13–36°N and 36–62°N). The combined mean air-sea fluxes for the 1990s were estimated to be +0.6, –0.5, and –0.2 Pg C yr–1 for the tropical, mid-latitude, and northern Pacific regions, respectively (Fig. 6). This approach has the advantage that it full advantage of the very large synthesized carbon data sets to derive CO2 uptake rate estimates. The results, by definition, will be consistent with the total anthropogenic CO2 distributions that have been determined from these data sets. This approach also explicitly accounts for advective and diffusive effects at the resolution of the general circulation model (GCM). The disadvantage of this approach is that the results are strongly tied to the accuracy of both the water column data and the model transport fields. Gloor et al. (2003) found that the results were somewhat model dependent, so the ability of the model to simulate real ocean transports is critical. 3. Discussion To facilitate a comparison of the North Pacific uptake rate estimates, we have combined a number of published results into Table 2. In some cases, the published _ _ x _ _ _ x _ _x xx x x _ _ xx _ _ _ _ x _ _ _x x xx x xx x _ _ _ xx _ _ _ x _ _x _ x _ _ xx _ _ _ _x x _x _ xx xx xx xx xx x x _ _ _ _ xx x _ _ _ xx _ _ _ x _ _x x x xx _x xx x xx x xx x xx _ _x x xx xx x _ x _ _ _ _ xx xx x xx x _ _ _ _ _ _ _ _ _ _x xx xx x _ _ _ xx _ _ _ _ xx _ _ _x _ _ _x x x x _ _ _ xx _ _ x _ _ _x _ x xx Fig. 6. (a) Pre-Industrial atmosphere-ocean flux estimates (PgC yr –1) for ocean regions as predicted by the inverse method (dark gray) and forward simulations with two versions of the Princeton Ocean Biogeochemistry model (lighter grays). (b) Same as in (a) except that anthropogenic CO2 fluxes for the year 1990 are shown. (c) Same as (a) except that the total contemporary fluxes (sum of pre-industrial and anthropogenic perturbation) are compared with the air-sea CO2 fluxes estimated using the pCO 2 climatology of Takahashi et al. (2002) (square dependence of gas exchange coefficient on wind speed and cubic dependence), and the mean estimates from TransCom3 inversions (adapted from Gloor et al., 2003). values had to be converted to common units requiring assumptions about the area or integration depth. The results are divided into three categories: integrated water column uptake rate estimates, mixed layer increases, and surface pCO2 increases. Most of the published values fall Temporal Evolution of the North Pacific CO 2 Uptake Rate 11 12 C. L. Sabine et al. *Uptake not integrated all the way to the surface. Table 2. Summary of published CO2 uptake rates in Pacific Ocean. under the water column integrated uptake rate category. These values varied by region and depth range of integration with values ranging from 0.25 to 1.3 mol m–2yr –1. The mixed layer uptake rate estimates were much more consistent, with values of 1.0–1.3 µmol kg–1yr–1 based on direct observations and MLR approaches. It should be noted, however, that all of the estimates presented here were based primarily on subtropical measurements. Although not quantified, mixed layer changes were not easily distinguished from the large seasonal variability in the sub-arctic Pacific based on observations at Station P and the KNOT station (Wong et al., 2002; Tsurushima et al., 2002). Surface pCO2 changes also showed regional variability that is likely due to differences in the physical and biological forcing (Inoue et al., 1995; Feely et al., 2003; Takahashi et al., 2003). In general, the direct carbon observation approaches indicated that carbon uptake rates increased from the tropics to the subtropics in the North Pacific. This trend is seen both in the water column data as well as the mixed layer DIC and surface pCO2 measurements. Comparable decreases are seen in the δ 13C results with latitude. The estimates with the most spatial information are the CFC age based values. The maps presented in Fig. 2 are generally consistent with the carbon observations, but suggest more structure with both zonal and meridional gradients. While these patterns cannot be easily resolved with the existing carbon time series observations, they are consistent with the total anthropogenic CO2 inventory distributions inferred from the ∆C* approach (Sabine et al., 2002; McNeil et al., 2003). The CFC age based estimates overall suggest a smaller sink than the carbon observation approaches. These differences may be related to the difficulty in removing the biological and preindustrial signals from the carbon measurements. It is also possible that the CFC estimates are too low because of the assumptions that CFC ages represent true watermass ages, that there is a constant CO 2 equilibration relative to CFCs, and that the watermass age structure and biological pumps have remained constant over decadal time scales. The CFCs are also of limited use in the future since atmospheric concentrations are decreasing. This represents a significant departure from the atmospheric history of CO2 and reduces the utility of this tracer for age dating. Also, several recent studies have suggested that oceanic conditions may be changing due to greenhouse warming effects and/ or climate variability, calling into question the assumptions of steady state circulation (Ono et al., 2001; Watanabe et al., 2001; Emerson et al., 2001). Changes in circulation and/or biology actually affect all of the current approaches for estimating anthropogenic CO2 uptake in the ocean. The largest discrepancies between the various ap- proaches are observed in the sub-arctic Pacific. If one were to only look at surface values in the sub-arctic Pacific, one might conclude that there is no anthropogenic CO2 uptake in this region. Results from the MLR work presented here as well as the water column studies of Wakita et al. (2003), however, show that anthropogenic increases can be observed below the seasonal mixed layer. The CFC age approach also shows uptake in the sub-arctic region, although the rate of change appears to decrease north of the Kuroshio Extension. The ocean inversion results potentially represent the most sophisticated approach for estimating uptake rates because they combine the state-of-the-art three dimensional flow field estimates with the extensive full water column carbon measurements. In addition to the inversion results, Fig. 6 also summarizes results from a range of prognostic models and total fluxes from Takahashi et al. (2002) and the TransCom-3 atmospheric inversions (Gurney et al., 2002). Comparison with the prognostic models shows that the data did alter the inversion results away from the initial model estimates. When normalized to a unit area (Table 2), the inversion estimates give the highest uptake rates in the 36°N to 62°N box. Although this may appear to contradict the previous statements about the observations in the sub-arctic Pacific, this result is somewhat misleading because the southern boundary of the inversion box also includes areas south of the Kuroshio Extension where very high uptake rates were estimated from the CFC age approach. Comparisons between the present day fluxes from the inversion and the observationally based pCO2 fluxes of Takahashi et al. (2002) are reasonably good for the North Pacific. Although these first inversion estimates only determined average fluxes for relatively large regions, as the carbon data sets grow and models improve the inverse calculations will also improve. 4. Conclusions The different techniques used to evaluate the North Pacific carbon uptake rates do not completely agree on the exact magnitude but generally agree in their overall trends. The one exception to this is in the sub-arctic Pacific. The divergence in results in this region is likely related to the large seasonal and interannual variability in both the physical and biological controls. This variability may invalidate some of the assumptions associated with attempts to relate these changes to an anthropogenic CO2 uptake rate in the discussed techniques. Additional research is necessary to resolve these issues and better constrain the role of the North Pacific in the global carbon cycle. The tremendous area, diversity of habitats, and corrosiveness of the Pacific waters with respect to carbonate minerals provide the potential for significant changes in carbon cycling in this ocean as a re- Temporal Evolution of the North Pacific CO 2 Uptake Rate 13 sult of future climate change. Some of these changes may lead to changes in the role of the Pacific as a sink for anthropogenic CO2. The global CO2 survey data and estimates provided here make an important baseline for assessing future changes in the Pacific carbon cycle. Acknowledgements This manuscript summarizes the work of many investigators that have studied the North Pacific carbon cycle. We wish to acknowledge all of those that contributed to the Pacific Ocean data set complied for this project, including those responsible for the carbon measurements, the CFC measurements, and the Chief Scientists. This research was funded by NOAA/DOE grant GC99-220 and NSF grant OCE-0136897. 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