Preindustrial A ir-Sea CO2 Flux: Sensitivity to Mixing P rinceton Univers ity 1 I.Marinov , 1 A .Gnanadesikan , J. 1 Sarmiento , R. 1 Slater , and N. 2 Gruber 1 Program in A tmospheric and Oceanic Sciences, Princeton University; 2 IGPP & Dept. of A tm. Sciences, UCL A 1. A bstr act 2. Understanding the magnitude and spatial distribution of preindustrial carbon sources and sinks is critical for constructing a correct global carbon budget. T here are large differences between air-sea fluxes of C O2 obtained with different GC Ms. T hese could be due to differences in the physical models, and in particular to differences in the parametrization of mixing processes. W e separate the air-sea flux into an abiotic component due to the solubility pump and a biotic component due to the biological pump: M odel Setup 4. 3. T he model used is version 3 of MOM with 4o resolution. I t includes Gent-McW illiams parametrization and the Griffies et al.(98) discretization of isopycnal mixing. B iogeochemistry is consistent with OC MI P-2 requirements. A t the surface we apply PO4, T and S restoring on a time scale of 30 days, fluxes of heat and freshwater. T he model is run to equilibrium with an atmospheric pC O2 of 278 ppm. Fig 2: A nnual mean sea-air C O2 fluxes from (a) abiotic and (b) full biology models. Zonal integral. Positive flux means C O2 comes into the ocean. Modeled fluxes vary little with mixing, with largest variation in the Southern Ocean. M ethods I n order to distinguish between the abiotic and biotic C O2 fluxes, we set up two models: • T he solubility pump is mainly a consequence of the heat and water fluxes, which change the solubility of carbon and lead to large air-sea fluxes. • T he biological pump is due to the formation of dissolved and particulate organic carbon and C aC O3 and the transport of these materials to other regions of the world where they are remineralized or dissolved. I t includes soft tissue and carbonate pump components. •A B I OT I C model with no biology. T he air-sea flux is determined by the solubility pump and its interaction with ocean circulation. •FUL L B I OL OGY model where the air-sea flux is also determined by the biological pump. Why are abiotic fluxes larger than the total fluxes over most of the ocean ? Why does the total flux vary less with mixing than the abiotic flux ? F or each model we run four experiments L L , H L , H H , L H , where we vary vertical diffusivity K v (first index) and along-isopycnal diffusivity Ai (second index). • What is the effect of changing the vertical and lateral mixing on the abiotic and biotic components of the air-sea flux and on the total flux ? • What are the mechanisms by which ocean circulation changes the air-sea flux of C O2 ? 5. L L and HH are runs in which K v and A i are varied together so as to roughly preserve lowlatitude pycnocline. For completeness we add runs where single parameters are varied: an increased K v run (HL ) and an increased A i run (L H). T he L L run has surface values K v=0.15 cm2/s , A i=1000m2/s, while the HH run has K v=0.6 cm2/s, A i=2000 m2/s. K v increases hyperbolically with depth to 1.3 cm2/s in all runs. Surface B C s are the same for all runs. Solubility pump: the effect on C O 2 flux T he A B I OT I C air-sea flux is due to the solubility pump. W arming of upwelled water is associated with loss of C O2 in the tropics. C ooling of the surface water results in gain of C O2 in high latitudes. Strong E kman transport at the equator moves the water before it can equilibrate with the atmosphere, resulting in larger spread and lower magnitude of the air-sea flux compared to the heat flux. Fig 3: T he abiotic flux of C O2 (b) follows the thermal flux (a), defined as F= Q/C p* dDI C /dT = =(-Q)/(r* C p* R ) * DI C /C O2* dC O2/dT , where Q is heat flux, C p water heat capacity, R buffer factor 6. A biotic flux: Sensitivity to M ixing The meridional heat flux is mostly driven by the meridional overturning. I ncreased vertical diffusivity implies stronger overturning (F . Bryan'87, Gnandesikan'99, etc.) and therefore stronger heat fluxes and stronger abiotic flux of C O2. C onsistent with scaling theories, incr easing K v : - increases meridional overturning (Fig 1) increases C O2 flux into the ocean in the W estern B C (by increasing cooling), increases C O2 flux out of the tropical ocean (due to increased heating), increases C O2 flux into the S Ocean (higher convection and increased cooling). increases carbon transport (Fig. 4). Figure 3: M eridional overturning in Sv in the standard (L L ) case and differences between other runs and the L L run. I ncreasing vertical mixing strongly increases the overturning circulation, while increasing lateral mixing decreases the overturning circulation. 7. A biotic T r anspor t - decreases overturning circulation - inhibits the large cooling of the ocean associated with the western boundary currents, - decreases equatorial upwelling. B iological pump: the effect on C O 2 flux 10. B iotic F lux: Sensitivity to M ixing T he annual mean of the air-sea C O2 flux due to biology follows the inverse of the soft tissue pump. T he soft tissue pump is defined as the salinity normalized PO4 minus the average surface PO4. A s we go from the equator towards the poles, higher surface PO4 means a reduction in the efficiency of the biological pump resulting in biotic flux of C O2 out of the ocean. A s K v incr eases, -tropical waters are warmed up, increasing the abiotic flux out of the ocean. -larger biological productivity at tropics (Gnanadesikan '01) increases the biotic flux of C O2 into the ocean. Thus, prescribed nutrients at the surface severely constraint the biotic air-sea flux. Q = B iotic air-sea C O2 Fig 6: B iotic air-sea flux and (-1)* surface soft tissue pump. a. A nnual means. b. L inear Fit, r2=0.76 I ncreasing vertical mixing changes both abiotic and biotic fluxes such that the compensation between the two increases. Abiotic transport increases with increasing vertical diffusivity. Highest differences in the DI C transports are in the S Hemisphere, where we see a 50% increase in DI C transport for a four fold increase in K v. B iological pump is inefficient at high latitudes, resulting in loses of C O2 to the atmosphere. T his biotic flux is offset by the abiotic flux into the ocean due to cooling. Figure 5: A nnual mean fluxes, L L case. Zonal integrals. T he biotic flux is the difference between C O2 fluxes in the model with full biology and in the abiotic 11. B iotic T r anspor t 12. C onclusions • T he biotic transport opposes the abiotic transport of DI C . T ransport of DI C is more sensitive to mixing than the air-sea C O2 flux. L argest sensitivity to mixing is seen in the Southern Ocean. First order sensitivity to vertical mixing obeys known scaling theories. I ncreasing K v increases the biotic transport of DI C (due to stronger overturning circulation). • A ir-sea C O2 flux and transport are explained to first-order by air-sea heat flux and transport and by boundary conditions (i.e., phosphate, temperature, salinity, wind) (Fig 3 and Fig 6). I ncreasing A i decreases biotic transport of DI C in the N hemisphere (weaker circulation). • Strong compensation between biotic and abiotic C O2 fluxes scales with mixing. Stronger vertical mixing implies a stronger compensation mechanism (Fig 8). • F urther Questions: 1. What processes set the varying degrees of compensation between biotic and abiotic air-sea C O2 fluxes? 2. What determines the large Southern Ocean sensitivity to mixing and the compensation mechanism in this region? Figure 7: Differences in annual mean biological fluxes of C O2. Zonal integral. P = (-1)* (35/salinity* PO4-[PO4surface]) Thus, the solubility and biological pumps partially compensate each other. Figure 4: (a) Heat transport. (b) Global abiotic transport of DI C . A nnual means. Q=P* 1.150e-11+2.934e-4 L A T I T UDE C ompensation M echanism T he abiotic DI C transport varies with latitude just like the heat transport, transporting DI C northward S of the equator and southward N of the equator. The compensation effect explains the small sensitivity of total air-sea CO2 flux and total transports with mixing (Fig 2, Fig 8). r2=0.7631 8. B etween 40S and 40N, fast biological uptake strips out surface nutrients and C O2 and takes up additional C O2 from the atmosphere. T his biotic flux is compensated by an abiotic C O2 flux out of the ocean due to warming of tropical waters. while incr easing A i has the opposite effect: 9. M otivating questions Figure 8: (a) B iotic transport of DI C in the ocean. (b) T otal transport of DI C . A nnual means. R eferences B ryan, F (1987) "Parameter sensitivity of primitive equation ocean general circulation models," JPO 17. Gnanadesikan et al. (2001) "Oceanic vertical exchange and new production: A comparison between models and observa tions," Deep Sea R esearch (submitted). Gnanadesikan (1999) "A simple predictive model for the structure of the Oceanic Pycnocline," Science, vol 283. M urnane, Sarmiento, L e Quere (1999) "Spatial distribution of air-sea C O2 fluxes and the interhemispheric transport of carbon by the oceans," GB C 13, no2. Najjar, Orr (1998) "Design of OC M I P-2 simulations of chlorofluorocarbons, the solubility pump and biogeochemistry" corresponding author: imarinov@ princeton.edu
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