Estimates of sources/sinks of carbon dioxide (CO2) at the Earth's surface are commonly made using atmospheric CO2 inverse modeling, terrestrial and oceanic biogeochemical modeling, and inventory-based studies. In this study, we compare sea-air CO2 fluxes from the Time-Dependent Inverse (TDI) atmosphere model and the marine Biogeochemical Elemental Cycling (BEC) model to study the processes involved in ocean carbon cycling at subbasin scales. A dust generation and transport model, based on analyzed meteorology and terrestrial vegetation cover, is also used to estimate the interannual variability in dust and iron deposition to different ocean basins. Overall, a fairly good agreement is established between the TDI and BEC model results for the net annual patterns and seasonal cycle of sea-air CO2 exchange. Sensitivity studies with the ocean biogeochemical model using increased or reduced atmospheric iron inputs indicate the relative sensitivity of air-sea CO2 exchange. The simulated responses to changes in iron inputs are not instantaneous (peak response after ∼2−3 years). The TDI model derived seasonal cycles for the Southern Ocean (South Atlantic) are better matched by the BEC model by increasing (decreasing) iron inputs through atmospheric aerosols. Our results suggest that some of the interannual variability in TDI model air-sea CO2 fluxes during the past decade may be explainable by dust variability that relaxes/increases iron limitation in high-nitrate, low-chlorophyll (HNLC) ocean regions.
 An interesting component of the global carbon cycle is the interactions between land and ocean. There is growing awareness that particulate matter (as mineral dust or biomass burning and combustion byproducts) emitted from the land regions and deposited over the ocean through the atmospheric transport brings macronutrients and micronutrients that could change the behavior of oceanic biogeochemistry [e.g., Abram et al., 2003; Jickells et al., 2005]. In particular, the atmospheric source of dissolved iron from mineral dust deposition is a key nutrient source for the oceans [Martin et al., 1991; Fung et al., 2000; Mahowald et al., 2005]. Carbon cycle responses to dust deposition have been studied with oceanic biogeochemistry models [e.g., Moore et al., 2004, 2006]. Moore et al.  forced a global ocean ecological-biogeochemical model with dust inputs from different climate states and found a strong impact on global-scale export production and air-sea CO2 exchange. Dust inputs also had a strong impact on nitrogen fixation rates, as diazotrophs were limited by iron over much of the low to mid latitude oceans. Thus variations in dust inputs had a strong impact in traditional high-nitrate, low-chlorophyll (HNLC) regions (subpolar North Pacific, equatorial Pacific, Southern Ocean) where the entire phytoplankton community is iron-limited and in tropical and subtropical areas by modifying rates of nitrogen fixation. This indirect dust-nitrogen fixation-export production linkage had a comparable effect on air-sea CO2 exchange over decadal timescales as the response seen in the HNLC zones [Moore et al., 2006].
 Recent studies using satellite ocean color remote sensing illustrate the presence of long-term trends in surface chlorophyll concentrations, particularly in some shelf/coastal areas [e.g., Gregg et al., 2005]. They attributed chlorophyll increases in some regions to a decrease in sea-surface temperature (SST), i.e., increased upwelling, but the overall causes for these increases are largely unknown. For example, it has been established that the atmospheric aerosols exert cooling near the earth's surface [Satheesh and Ramanathan, 2000], which might also lower SST. There is considerable complexity in the land-ocean coupled carbon cycle system, and anthropogenic influence is perturbing these couplings in numerous ways such as modifications to the hydrologic cycle, deforestation, changing riverine nutrient transport to the oceans [e.g., Asner et al., 2005; Syvitski et al., 2005]. Impacts of changes in precipitation and surface temperature on the carbon cycle are already a measurable quantity in the well-observed parts of the world [Ciais et al., 2005; Angert et al., 2005]. The large CO2 net source anomalies, for example, ∼0.5 Pg-C for the Western Europe in 2003, can be corroborated by atmospheric-CO2 inversion results (P. K. Patra, unpublished data, updated inversion, 2005).
 In this study we compared atmospheric-CO2 inverse model fluxes (Time-Dependent Inversion; TDI), oceanic model air-sea CO2 fluxes (Biogeochemical Elemental Cycling; BEC), and simulated dust sources, atmospheric transport and deposition (Model of Atmospheric Transport and Chemistry (MATCH)/National Center for Environmental Prediction (NCEP)/Dust Entrainment And Deposition (DEAD)). An attempt is made to explain the similarities and differences between the ocean and atmosphere CO2 results by analyzing the ocean model's sensitivity to iron (Fe) inputs from atmospheric dust deposition. We utilize a combination of an ocean model control, forced with repeat annual cycle of atmospheric physical forcing and dust deposition, and sensitivity studies to a tenfold step function increase or decrease in dust deposition. The TDI, BEC, and DEAD modeling setups are designed for understanding the interannual variations in CO2 fluxes in the context that dust variations significantly impact the marine carbon cycle.
2. Materials and Methods
2.1. Time-Dependent Inversion (TDI) of Atmospheric CO2
 We have used a time-evolving, atmospheric transport inverse model (TDI) for estimating surface CO2 sources and sinks (i.e., fluxes) [Rayner et al., 1999; Gurney et al., 2004; Patra et al., 2005a, 2005b]. Atmospheric-CO2 data at 87 stations are used for constraining the TDI model simulations, following a preprocessing of actual concentrations reported by several organizations worldwide [GLOBALVIEW-CO2, 2004]. The NIES/FRCGC transport model, driven by interannually varying NCEP/NCAR reanalyzed meteorology, is used for forward simulations (see Patra et al. [2005a] for detailed description). The estimated inverse model fluxes generally respond to climate oscillations at global and region scales, and the global land and ocean CO2 flux anomalies are typically anticorrelated [e.g., Patra et al., 2005a, 2005b]. In previous inverse studies, the largest ocean flux variability is found in the tropical and northern latitudes [Rayner et al., 1999; Bousquet et al., 2000; Roedenbeck et al., 2003]. However, Patra et al. [2005a] found large interannual flux variations for the ocean regions in southern latitudes also. The latter study used a larger measurement network, which helped them to constrain the ocean region fluxes fairly satisfactorily (within respective uncertainty estimates) if compared with the independent oceanic-pCO2 based flux estimates [Patra et al., 2006]. However, no overall agreement could be established with regional flux variability simulated by oceanic biogeochemical models. Typically, the ocean carbon cycle models exhibit much lower extratropical interannual flux variability compared to those estimated using atmospheric data [Lee et al., 1998; Le Quéré et al., 2003; Patra et al., 2005a; McKinley et al., 2006].
Figure 1 shows the TDI average sea-air CO2 fluxes (gC m−2 d−1) for the period 1990−2001 and the interannual variability in monthly mean fluxes (1σ). To calculate σ-values, we use monthly anomalies from an average seasonal cycle for each region. The 1σ values using annual mean fluxes are smaller than those shown here, while the values are significantly greater for the straight monthly variability including the seasonal cycle. Our results indicate that the northern North Pacific, most parts of equatorial Pacific, and southern areas of Pacific and Atlantic all exhibit significant variability in CO2 fluxes per unit area. Because of its large area, the northern portion of the Southern Ocean also shows large CO2 flux variability if the fluxes are integrated to whole regions (i.e., Pg C yr−1). The greater flux variability in the Tropical Indian Ocean is an artifact of atmospheric-CO2 data error at the Seychelles station prior to 1996.
2.2. Dust Transport and Deposition Model
 Mineral aerosols were simulated using a three-dimensional chemical transport model based on National Centers for Environmental Prediction/National Center for Atmospheric Research (NCEP/NCAR) reanalysis for the years 1988−2004 [Kistler et al., 2001]. The dust source and deposition scheme is based on the Dust Entrainment and Deposition (DEAD) scheme [Zender et al., 2003], and the chemical transport model was the Model of Atmospheric Transport and Chemistry (MATCH) [Rasch et al., 1997], which has been developed specifically to be used with reanalysis winds [Mahowald et al., 1997]. The dust source areas are defined as dry, poorly vegetated regions which have easily erodible sources, using topographic lows as preferential sources areas [Ginoux et al., 2001]. Dust is removed by wet deposition during precipitation events, and by dry deposition from gravitational settling and turbulent processes. The model is described in more detail elsewhere [Zender et al., 2003; Luo et al., 2003; Mahowald et al., 2002, 2003]
 The mean climatology of the dust model was compared to available observations (e.g., in situ concentration, in situ optical depth, deposition data and satellite optical depth) in detail by Luo et al. , which showed that the model is able to capture the mean seasonal cycle and distribution of the aerosols fairly well, although with somewhat reduced skill in the Southern Hemisphere. The ability of the model to capture daily and interannual variability was also examined in detail in previous studies [e.g., Mahowald et al., 2002, 2003; Hand et al., 2004]. Generally speaking the model can obtain statistically significant in correlations between monthly averages at the few available (∼10) in situ dust concentration stations [Mahowald et al., 2003, Table 1], although the model has difficulty at some Southern Hemisphere stations (Funafuti and Norfolk Island). Comparison with satellite data is possible; however, this data is more difficult to interpret because mineral aerosols only dominate the aerosol optical depth over some ocean regions [e.g., Tegen et al., 1997]. In these regions, the model appears to be able to capture much, but not all, of the interannual variability [Mahowald et al., 2003, Figure 2].
 In addition, the MATCH/NCEP/DEAD simulations appear to have roughly the right amount of interannual variability [Mahowald et al., 2003, Table 2 and Figure 3]. Model analyses have suggested that most of the interannual variability in concentrations downwind of the source regions is driven by transport, (or transport/source correlations) and not by source interannual variability alone [Tegen and Miller, 1998; Mahowald et al., 2003]. Model and observational studies over the time period 1979 to 2000 have not shown evidence for global or regional trends in dust source or deposition [e.g., Mahowald et al., 2003] (see review by Mahowald et al. ). For this study we are interested in the regional patterns of interannual variability in deposition. However, there are very few sites where deposition per se is measured (and not inferred from surface concentrations, which ignores the important wet deposition component), and there are no deposition data sets with multiple years. Model results represent, perhaps, our best state of understanding for interannual variability in dust deposition to ocean regions, but they cannot be considered definitive. Figure 2 shows the average dust deposition and fractional interannual variability (given as a coefficient of variation: standard deviation divided by the mean) in the period 1990−2001. Note that the fractional variability is largest over the ocean regions in southern hemisphere mid−high latitudes and the North Atlantic.
2.3. Biogeochemical Modeling of Air-Sea CO2 Fluxes
 One possible mechanism of larger input of micronutrients such as iron to the HNLC regions (see Figure 3) is the enhanced transport of soil and mineral dusts from the land to the ocean through the atmosphere. To test the effect of dust input variations on sea-air CO2 fluxes and associated biogeochemical processes, we used a coupled ocean Biogeochemical Elemental Cycling (BEC) model developed at NCAR, UC Irvine and WHOI [Moore et al., 2004]. The model runs within the NCAR Community Climate System Model (CCSM3) [Collins et al., 2006] utilizing the Parallel Ocean Program (POP) ocean circulation component [see Moore et al., 2004, 2006, and references therein]. The salient features of the model are multiple potentially growth-limiting nutrients and explicit iron cycling in the oceans with external sources from mineral dust and continental shelves and four functional groups of phytoplankton: diatoms, diazotrophs, coccolithophores, and picoplankton. Thus, as dust deposition varies, the model captures the shifts in community composition and biogeochemical rates observed in deliberate iron-fertilization experiments in HNLC regions and in low-latitude regimes with significant nitrogen fixation [Moore et al., 2006]. The BEC model includes external iron sources from mineral dust deposition and a crude sedimentary source in shallow ocean regions (constant diffusive flux where ocean depth <1100 m [Moore et al., 2004]). While it is believed that dust inputs are the dominant source to the open ocean, the continental iron signal can at times influence areas far from shore [Johnson et al., 1997; Lam et al., 2006]. Variability in this offshore transport of sedimentary-derived iron is not accounted for in the present study.
 The sensitivity of ocean biogeochemistry and air-sea CO2 exchange to changes in mineral dust deposition to the oceans is studied with three model simulations: Case-x1 using climatological dust deposition from the MATCH/NCEP/DEAD simulations (see Figure 2a); Case-x10 using ten times the rate of climatological dust deposition; and Case-x0.1 using one tenth of climatological dust deposition. Dust deposition used here is the monthly mean values from Luo et al. . For our case studies the BEC model was integrated first for 1000 years with climatological dust forcing and atmospheric CO2 fixed at a pre-industrial value of 278 ppm. The model was then integrated for an additional 24 years with atmospheric CO2 increased to 350 ppm, to partially allow the model to equilibrate to 1990s conditions. Three branch simulations were conducted from the end of the spin-up solution for an additional 24 years with seasonally varying climatological dust (Case-x1) and climatology dust modified by factors of 0.1 (Case-x0.1) and 10.0 (Case-x10) (see Figure 3 for a schematic diagram). These simulations were designed to set reasonable upper and lower bounds on the variations in atmospheric dust inputs to the oceans during the period of our atmospheric inversion (1997−2001) given the large uncertainties in both deposition rates and iron solubility. Here we assume for all simulations a constant 3.5% of dust is iron and that 2% of this is soluble. We seek to test whether interannual variations in dust deposition within these bounds could significantly impact air-sea CO2 exchange. On longer decadal to centennial timescales, ocean CO2 storage will be affected by dust-driven reorganizations in subsurface nutrient and dissolved inorganic carbon fields [Boyd and Doney, 2002].
3.1. BEC Model Simulation Results
Figure 4 shows the temporal evolution of CO2 fluxes and associated biogeochemical fluxes from the beginning of the branching simulations with atmospheric CO2 concentration prescribed at 350 ppm. The rate of total CO2 draw down by the ocean from the atmosphere is significantly increased with the increase in dust deposition. This draw down is triggered by the enhanced primary and export production (increased sinking Particulate Organic Carbon, POC). Though the maximum change in global air-sea CO2 flux is observed in the first few years of the model simulations, there is still an offset at the end of the runs. At year 24 the oceanic sink due to 10 times enhanced dust input (Case-x10) is about 0.9 Pg-C yr−1 greater compared to that corresponding to climatological dust input (Case-x1), and the one-tenth dust input run (Case-x0.1) results in an effective net outgassing of CO2 with a similar offset compared to Case-x1. This indicates that an increase (decrease) in iron inputs to the ocean can act to drive significant enhanced (reduced) uptake of atmospheric CO2 by the oceans at interdecadal timescales, with the strongest impact in the first few years as found previously [Moore et al., 2006]. Corresponding to the increase (decrease) in iron inputs, the nitrogen fixation and denitrification rates have also increased (decreased) dramatically. Such changes are also likely to have influence on other greenhouse gases such as nitrous oxide (N2O), methane (CH4) and the other chemical constituents with climate impact, for example, dimethyl sulphide (DMS). However, these gases are not currently simulated by the BEC model, and a detailed discussion on this issue is beyond the scope of this study. As our main focus is on interannual timescales, the BEC model results from year 1 following the step-function dust perturbations are used to explore the impact of dust on interannual CO2 flux variations as derived by the time-dependent inverse (TDI) model of atmospheric CO2. The results 5 years following the dust perturbations are mainly used for explaining the spatial patterns and magnitudes in the annual net TDI model derived CO2 fluxes for different regions. For comparison, the changes in oceanic uptake at 1 or 5 year of the BEC model simulations due the changes in dust flux are larger than the TDI model estimated increase in oceanic CO2 flux (∼1.0 Pg-C) during the 1990s [Patra et al., 2005a]. The drastic changes in dust deposition in our perturbation experiments would have strong “downstream” impacts on biogeochemistry over decadal and longer timescales as subsurface nutrient pools were altered owing to changes in the strength of the biological pump [i.e., Boyd and Doney, 2002; Sarmiento et al., 2004].
 The variations in atmospheric iron inputs in the three simulations have a profound influence on ocean biogeochemical fluxes (Figure 4) and on the patterns of nutrient limitation for the different phytoplankton functional groups. The most limiting factor for growth at the annual timescale is plotted for year 5 of our simulations for the diatom, small phytoplankton, and diazotroph phytoplankton groups in Figure 5. The iron-limited areas for the diatoms and small phytoplankton change dramatically between the three simulations, reflecting the large perturbations in the Case-x0.1 and Case-x10 simulations. The diazotrophs are mainly iron-limited at the low to mid latitudes, although the areas where growth is phosphorus limited expand with increasing iron inputs (Figure 5). Note that in many areas where the diazotrophs are iron-limited the other phytoplankton groups are nitrogen limited. This gives these regions a sensitivity to atmospheric iron inputs normally associated only with the HNLC regions [Moore et al., 2006]. These results highlight the dynamic nature of oceanic nutrient limitation regimes and the strong sensitivity to variations in mineral dust deposition.
3.2. Spatial Distributions of Dust Input and CO2 Fluxes
Figure 6 shows a comparison of spatial distributions of CO2 fluxes using the three dust input strengths (Figures 6b, 6c, and 6d) with the estimates of ship-borne estimates of CO2 fluxes (Figure 6a) [Takahashi et al., 2002] (values updated in 2003; referred to as TT03). The TDI estimated sea-air flux distribution can be seen in Figure 1a. The CO2 flux distributions from ocean BEC control simulations are broadly consistent with ocean observations and atmospheric inverse estimates. The major differences are observed in the Southern Ocean region, where the BEC model produces less uptake of carbon by the ocean compared to those estimated using the TDI model and ship-borne measurements; in part this reflects the fact that the ocean simulations are conducted with a constant, rather than transient, increasing atmospheric CO2 concentration. Examining the different BEC simulations, the strong impact of iron inputs in the HNLC regions is apparent. Strong decreases in the flux of CO2 to the atmosphere are seen in the Case-x10 simulation relative to the climatological dust run in the Southern Ocean, the equatorial Pacific, and the subarctic Pacific. Similarly, increased sea-air flux is seen in these same regions under the low Case-x0.1 dust flux.
 The net air-sea fluxes (uptake) for the global ocean are 1.46 Pg-C yr−1 from TT03 corresponding to a climatological year 1995 and 1.87 ± 0.52 Pg-C yr−1 from the TDI model for the period 1988−2001. The BEC modeled air-sea fluxes 1 year following the step-function dust perturbations are 1.14, 0.73 and 2.72 Pg-C yr−1 corresponding to climatological dust input, one-tenth and ten times climatological dust cases, respectively. The global net ocean carbon uptakes 5 years following the dust perturbations are 1.04, 0.11, and 3.68 Pg-C yr−1, respectively. Since we have not run an ocean simulation with transient increasing atmospheric CO2, we cannot directly compare absolute uptake to the atmospheric inversion and in situ observational data, but we can compare the large changes in CO2 uptake across the dust sensitivity experiments relative to the control case. The carbon uptake response to the step-function dust input perturbations maximize at about 4−5 years, with a tendency to level out at a new quasi-equilibrium level by the end of the simulations (year 24). The new state of quasi-equilibrium, however, depends on the dust input level; decreased (increased) carbon uptake is found for reduced (elevated) dust input.
3.3. Comparison of Regional TDI and BEC Model Fluxes
Table 1 shows the comparison of sea-air fluxes of CO2 at regional (subbasin) scale between different estimation scenarios depicted in Figure 6. Though the BEC model simulated fluxes are within the uncertainty range of TDI estimated fluxes, the average values differ significantly. HNLC regions are typically linked to low Fe inputs, particularly in the tropical Pacific and the Southern Ocean [Fung et al., 2000]. The largest CO2 exchange responses to changes in dust input are also linked to low Fe input regions [Moore et al., 2006]. By increasing the Fe input to 26 Gg yr−1 (from 2.6 Gg yr−1), the East Pacific source is reduced to 0.38 and 0.06 Pg-C yr−1 (from about 0.71 Pg-C yr−1) at the end of 1 and 5 years of BEC model Case-x10 dust simulation, respectively. The year 1 response reflects the increased iron input from the atmosphere, while the year 5 response reflects also a drift in subsurface iron concentrations. Similarly, large increases in CO2 uptake in the Southern Ocean region are simulated with the increases in Fe. However, the response of Southern Ocean uptake to the Fe increase is fairly slow; for example the net increase in uptake in Case-x10 at the end of 1 year is about 0.3 Pg-C yr−1 and at 5 years is about 1.1 Pg-C yr−1. This suggests that the full biogeochemical cycling of Fe in the Southern Ocean is slower compared to the East Pacific. The direct biological responses to iron fertilization in the model happen on timescales of about a season. The longer timescales reflect changes in ocean iron reservoirs. The primary supply of Fe to the surface in the Southern Ocean comes from upwelling of subsurface Fe [Archer and Johnson, 2000; Fung et al., 2000], and the slow biogeochemical response to atmospheric dust deposition reflects the more gradual buildup of subsurface iron in this region of deep mixing. The range of CO2 fluxes obtained for the three different BEC model scenarios 1 and 5 years following the dust input perturbations fully encompass the averages of regional CO2 fluxes estimated by the TDI model or TT03.
Table 1. Comparison of Regional-Scale Integrated Fluxes as Derived by Takahashi et al. , Patra et al. , and Ocean BEC Model Simulations for the Three Dust Input Cases 1 and 5 Years After the Step-Function Perturbationa
BEC Dust Cases: Year 1
BEC Dust Cases: Year 5
Climatological Fe Input
Takahashi et al.  is denoted by TT03: 2003 updated values and corresponds to 1995; Patra et al.  is denoted by TDI: averaging period is 1988−2001. TT03 fluxes are estimated using gas transfer formulation by Wanninkhof  as are the BEC model fluxes. All the values are in Pg-C yr−1 except those for climatological Fe input (right column) from atmospheric dust deposition (in mg-Fe m−2 yr−1). The “one tenth” or “ten times” Fe input cases can be produced by division or multiplication by 10, respectively.
 Considerable uncertainty surrounds the magnitude of atmospheric dust inputs to the ocean and the subsequent solubility and bioavailability of iron from dust. Greater iron inputs from the atmosphere than in our dust climatology case would improve the BEC model sea-air CO2 fluxes relative to the TDI in the Southern Ocean, the East and West Pacific, and in the South Pacific. Similarly, reducing iron inputs from our standard run would improve the mismatch in the South Atlantic and the Tropical Indian Ocean. The coastal upwelling zone in the Arabian Sea [Takahashi et al., 2002] is not well captured in the coarse resolution BEC model; the BEC model, in contrast, produces a small uptake in the TIO region. In addition, the TIO region's productivity is not limited by iron, but the macronutrients like phosphate (PO4), silicate (SiO4) or nitrate [Moore et al., 2002, 2004]. Sensitivity to the atmospheric macronutrient inputs to the surface ocean is not included in this work [e.g., Rengarajan and Sarin, 2004] but will be the focus of future studies.
3.4. Seasonal Cycle in CO2 Fluxes and Implications for Interannual Variability
 On the basis of the atmospheric CO2 observations at 87 stations and a tracer transport model, the seasonal cycles and interannual variations in CO2 fluxes have been derived using the TDI model for 22 partitioned areas of the global ocean [Patra et al., 2005a]. Figure 7 displays the TDI model results (aggregated to 11 regions) and the BEC model simulated seasonal cycles for year 1 of the dust scenarios. Since no interannual variations in physical forcing or dust input are implemented in the BEC model simulations, the BEC seasonal flux cycles repeat each year (referred to as “cyclostationary”). However, the TDI model derived fluxes include the effect of interannual changes in dust on the biogeochemistry and variability in air-sea CO2 flux driven by physics/climate. The seasonal amplitude and phase of the TDI and BEC sea-air CO2 fluxes are in fairly good agreement (within the TDI flux uncertainty estimates on an average) for the North Atlantic, South Indian, North and South Pacific, though the BEC amplitudes tend to be somewhat lower than those from the TDI. For the tropical oceans, both TDI and BEC model simulations suggest only a weak seasonal cycle, if any.
 In some regions, the amplitude of the ocean CO2 seasonal cycle and annual mean fluxes are sensitive to dust input. A prominent region of dust sensitivity is the East Pacific (Figure 7c), where the BEC model sensitivity runs suggest that a greater iron input tends to produce larger seasonal cycles and net CO2 drawdown. The TDI simulations exhibit considerable interannual variability for the East Pacific region but no consistent seasonal cycle. Even factor of 10 changes in atmospheric dust deposition to the BEC simulations, however, would not capture the TDI-derived interannual variability in the East Pacific, which is thought to reflect changes in upwelling associated with ENSO. However, recent model results for aerosol source sectors suggest that biomass burning aerosols could be a source of biology-limiting nutrients to this oceanic region [Koch et al., 2007].
 In contrast, elevated iron inputs to the Southern Ocean would both make the BEC model seasonal cycle more similar to the larger amplitudes exhibited by the TDI solutions and help explain the atmospheric derived interannual flux variability estimates. It should be noted here that the Case-10x BEC seasonal cycle amplitude increases significantly from 1.5 Pg-C yr−1 (Figure 7k) one year after the dust perturbation to 5.6 Pg-C yr−1 (peak at +1.4 Pg-C yr−1 and trough at −4.2 Pg-C yr−1) after 5 years of elevated dust (see auxiliary material Figure S1). This indicates that a substantially smaller dust perturbation than a factor of 10 increase could produce the TDI model derived Southern Ocean seasonal cycle and interannual variability. For comparison, the DEAD model exhibits interannual variability in the seasonal maximum dust deposition to the Southern Ocean of roughly a factor of 2 to 5, easily large enough to result in substantial ocean biogeochemical variability.
 For the West Pacific, ocean iron is typically not the most limiting factor (nitrogen is), but dust deposition may influence nitrogen fixation rates. The Case-x10 simulation tends to introduce a weak seasonal peak in winter-spring time in agreement with the TDI model. Major dust efflux events to this ocean region from southeast and east Asia are observed during the TDI analysis period [Uematsu et al., 2002]. Much less can be discussed about the TIO seasonal cycle since the signal is a complex mixture of two distinct ocean basins (the Arabian Sea and Bay of Bengal) with different biogeochemical behavior [Sabine et al., 2000]. The South Pacific Ocean seasonal cycles are also not sensitive to the iron inputs and the BEC modeled seasonal cycle is smaller than that obtained by TDI model.
 For the North Pacific and South Atlantic regions, we find that the Case-x0.1 BEC simulation produced somewhat larger seasonal cycles compared to Case-x1 or Case-x10. However, the North Pacific seasonal cycles (amplitude and phase) are in fairly good agreement between the two models. An interesting finding is that for the South Atlantic region the seasonal flux amplitude and phase of TDI model fluxes are in near perfect match with that of BEC model simulations after 5 years if the atmospheric dust input is reduced by one tenth (Case-x0.1; see auxiliary material Figure S1).
 The interannual variability in dust deposition from the MATCH/NCEP/DEAD model is also shown in Figure 7 (see also Figure 2 and auxiliary material Figure S1). The absolute magnitude of dust deposition to the Tropical Pacific and Southern Ocean is small but the relative interannual variability can be large (Figures 7c and 7k). There is some indication of negative CO2 flux anomalies (uptake) from TDI following increased dust deposition. For some ocean basins, atmospheric deposition of nutrients and micronutrients could result from large-scale biomass burning [e.g., Abram et al., 2003] or fossil fuel combustion [e.g., Chuang et al., 2005], which are not accounted for here. In general, all the tropical land areas exhibit large interannual and decadal variabilities in biomass burning in relation with the prevalent climate conditions associated with the ENSO cycle [e.g., Roedenbeck et al., 2003; Patra et al., 2005b]. Plausible temporal correlations are found between monthly mean DEAD/MATCH/NCEP dust depositions and TDI modeled CO2 fluxes for the North Pacific (r2 = −0.74), Northern Ocean (r2 = −0.59) and Southern Ocean (r2 = −0.56) with elevated CO2 uptake lagging a few months behind periods with elevated dust deposition. Interestingly, the seasonal cycle trough in CO2 fluxes always follows the peak in dust deposition cycle in these regions. However, the observed sea-air CO2 fluxes convolves both dust and climate variability, and a more comprehensive analysis will be required to relate definitively dust and sea-air CO2 flux variations.
 The atmospheric time-dependent inverse model (TDI) derived ocean CO2 fluxes are compared with those from the ocean BEC model simulations under three different levels of iron input to the oceans from atmospheric aerosols. The mean annual global and regional flux amplitudes estimated using the TDI and BEC models are in overall good agreement with those estimated using shipboard measurements, within their respective uncertainties (Table 1). There is also broad agreement of the estimated TDI and BEC seasonal cycles for most of the extratropical regions. Case studies of the BEC model with different dust inputs exhibit changes in ocean CO2 exchange in some HNLC regions that are similar in magnitude to the interannual variability estimated from the TDI model. The TDI model results also include variations due to interannual climate variability not accounted for in the BEC simulations where a physical surface forcing climatology is used. The results suggest that a greater input of iron to the Southern Ocean and Tropical Pacific, compared with that from the DEAD/MATCH/NCEP dust deposition climatology, would result in more consistent CO2 fluxes from the BEC and TDI models. On the other hand, less iron input to the South Atlantic and North Pacific would better match the BEC and TDI modeled net fluxes and seasonal cycle (Figure 7 and auxiliary material Figure S1).
 These findings point to regions where the dust deposition climatology may be under or overestimated, to deficiencies in the ocean model estimates of air-sea exchange, or areas where the TDI under or overestimates the air-sea flux. The tropical Pacific is an area with excessive ocean model flux of DIC and nutrients to surface waters [Gnanadesikan et al., 2002; Doney et al., 2004]. This factor may explain some of the discrepancies in this region. Assumptions about the solubility and bioavailability of iron within mineral dust also impact our ocean simulations, and are not well constrained. However, the construction of dust input maps are severely data limited, so any improvement is likely to take a broader effort than just the modeling community (e.g., see review by Mahowald et al. ). The interannual variability in dust input is also linked to the regional patterns of rainfall (over the land for emission and over the oceans for deposition), which must be considered for future simulations for a more realistic representation of interannual variability in biogeochemical modeling of CO2 fluxes. The other emerging view from this comparison is that the oceanic fluxes are derived fairly well by the TDI model used here, and inverse model results for the oceanic regions may not be as under constrained as thought previously. Thus the two approaches mutually support each other to some extent. The increase in atmospheric CO2 observation network over the last two decades has played a major role in this improvement in TDI modeling [Patra et al., 2005a, 2006]. Thus we believe a better network for measuring dust input to the oceans will allow us to make significant progress in our understanding of land-ocean linkages and regional to global-scale carbon cycling.
 We appreciate the support of Hajime Akimoto for this study and thank Michio Kishi for comments on an earlier version of the manuscript. Comments from two anonymous reviewers have helped improve the article. S. C. Doney and N. Mahowald acknowledge support from NASA grant NNG05GG30G. J. K. Moore was funded by NSF grant OCE-0452972.