<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.geosci-model-dev-discuss.net/inc/gmdd/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Geoscientific Model Development Discussions</journal_title>
		<journal_url>www.geosci-model-dev-discuss.net</journal_url>
		<issn>1991-9611</issn>
		<eissn>1991-962X</eissn>
		<volume_number>2</volume_number>
		<issue_number>2</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/gmdd-2-1023-2009</doi>
	<article_url>http://www.geosci-model-dev-discuss.net/2/1023/2009/</article_url>
	<abstract_html>http://www.geosci-model-dev-discuss.net/2/1023/2009/gmdd-2-1023-2009.html</abstract_html>
	<fulltext_pdf>http://www.geosci-model-dev-discuss.net/2/1023/2009/gmdd-2-1023-2009.pdf</fulltext_pdf>
	<start_page>1023</start_page>
	<end_page>1079</end_page>
	<publication_date>2009-07-27</publication_date>
	<article_title content_type="html">An isopycnic ocean carbon cycle model</article_title>
	<authors>
		<author numeration="1" affiliations="1,2">
			<name>K. M. Assmann</name>
			<email>karen.assmann@bjerknes.uib.no</email>
		</author>
		<author numeration="2" affiliations="1,3">
			<name>M. Bentsen</name>
		</author>
		<author numeration="3" affiliations="4">
			<name>J. Segschneider</name>
		</author>
		<author numeration="4" affiliations="1,2">
			<name>C. Heinze</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Bjerknes Centre for Climate Research, Bergen, Norway</affiliation>
		<affiliation numeration="2" content_type="html">Geophysical Institute, University of Bergen, Bergen, Norway</affiliation>
		<affiliation numeration="3" content_type="html">Nansen Remote Sensing and Environmental Research Centre, Bergen, Norway</affiliation>
		<affiliation numeration="4" content_type="html">Max-Planck Institute for Meteorology, Hamburg, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">The carbon cycle is a major forcing component in the global climate system.
Modelling studies aiming to explain recent and past climatic changes and to
project future ones thus increasingly include the interaction between the
physical and biogeochemical systems. Their ocean components are generally
&lt;i&gt;z&lt;/i&gt;-coordinate models that are conceptually easy to use but that employ a
vertical coordinate that is alien to the real ocean structure. Here we
present first results from a newly developed isopycnic carbon cycle model and
demonstrate the viability of using an isopycnic physical component for this
purpose. As expected, the model represents interior ocean transport of
biogeochemical tracers well and produces realistic tracer distributions.
Difficulties in employing a purely isopycnic coordinate lie mainly in the
treatment of the surface boundary layer which is often represented by a bulk
mixed layer. The most significant adjustments of the biogeochemical code for
use with an isopycnic coordinate are in the representation of upper ocean
biological production. We present a series of sensitivity studies exploring
the effect of changes in biogeochemical and physical processes on export
production and nutrient distribution. Apart from giving us pointers for
further model development, they highlight the importance of preformed
nutrient distributions in the Southern Ocean for global nutrient
distributions. Use of a prognostic slab atmosphere allows us to assess the
effect of the changes in export production on global ocean carbon uptake and
atmospheric CO&lt;sub&gt;2&lt;/sub&gt; levels. Sensitivity studies show that iron limitation for
biological particle production, the treatment of light penetration for
biological production, and the role of diapycnal mixing result in significant
changes of modelled air-sea fluxes and nutrient distributions.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Arakawa, A. and Lamb, V. R.: Computational design of the basic dynamicl process of the UCLA general circulation model, Meth. Comput. Phys., 16, 173â€“283, 1977. </reference>
		<reference numeration="2" content_type="text"> Archer, D.: Fate of fossil fuel CO&lt;sub&gt;2&lt;/sub&gt; in geologic time, J. Geophys. Res., 110, C09S05, doi:10.1029/2004JC002625, 2005. </reference>
		<reference numeration="3" content_type="text"> Archer, D. and Maier-Reimer, E.: Effect of deep-sea sedimentary calcite preservation on atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration, Nature, 367, 260â€“263, 1994. </reference>
		<reference numeration="4" content_type="text"> Archer, D., Winguth, A., Lea, D., and Mahowald, N.: What caused the glacial/interglacial atmospheric $p$CO&lt;sub&gt;2&lt;/sub&gt; cycles? Rev. Geophys., 38, 2, 159â€“190, 2000. </reference>
		<reference numeration="5" content_type="text"> Assmann, K. M. and Timmermann, R.: Variability of dense water formation in the Ross Sea, Ocean Dynam., 55, 68â€“87, 2005. </reference>
		<reference numeration="6" content_type="text"> Aumont, O., Orr, J. C., Monfray, P., Madec, G., and Meier-Reimer, E.: Nutrient trapping in the Equatorial Pacific: the ocean circulation solution, Global Biogeochem. Cy., 13(2), 351â€“369, 1999. </reference>
		<reference numeration="7" content_type="text"> Aumont, O., Maier-Reimer, E., Blain, S., and Monfray, P.: An ecosystem model of the global ocean including Fe, Si, P colimitations, Global Biogeochem. Cy., 17(2), 1060, doi:10.1029/2001GB001745, 2003. </reference>
		<reference numeration="8" content_type="text"> Bacastow, R., and Maier-Reimer, E.: Ocean-circulation model of the carbon cycle, Clim. Dynam., 4, 95â€“125, 1990. </reference>
		<reference numeration="9" content_type="text"> Beckmann, A., Hellmer, H. H., and Timmermann, R.: A numerical model of the Weddell Sea: large scale circulation and water mass distribution, J. Geophys. Res., 104(C10), 23375â€“23391, 1999. </reference>
		<reference numeration="10" content_type="text"> Behrenfeld, M. J., OMalley, R. T., Siegel, D. A., et al.: Climate-driven trends in contemporary ocean productivity, Nature, 444, 752â€“755, 2006. </reference>
		<reference numeration="11" content_type="text"> Bentsen, M., Evensen, G., Drange, H., and Jenkins, A. D.: Coordinate Transformation on a Sphere Using Conformal Mapping, Mon. Weather Rev., 127, 2733â€“2740, 1999. </reference>
		<reference numeration="12" content_type="text"> Bentsen, M. and Drange, H.: Parameterizing surface fluxes in ocean models using the NCEP/NCAR reanalysis data, RegClim General Technical Report No 4, Norwegian Institute for Air Research, 149â€“158, 2000. </reference>
		<reference numeration="13" content_type="text"> Bentsen, M., Drange, H., Furevik, T. and Zhou, T.: Simulated variability of the Atlantic meridional overturning circulation, Clim. Dynam., 22, 701â€“720, 2004. </reference>
		<reference numeration="14" content_type="text"> Berliand, M. and Berliand, T.: Determining the net long-wave radiation of the earth with consideration of the effect of cloudiness, Isv. Akad. Nauk. SSSR Ser. Geofis. 1, 1952. </reference>
		<reference numeration="15" content_type="text"> Bleck, R. and Smith, L. T.: A Wind-Driven Isopycnic Coordinate Model of the North and Equatorial Atlantic Ocean, 1. Model Development and Supporting Experiments, J. Geophys. Res., 95(C3), 3273â€“3285, 1990. </reference>
		<reference numeration="16" content_type="text"> Bleck, R.: An oceanic general circulation model framed in hybrid isopycnic- cartesian coordinates, Ocean Model , 4, 55â€“88, 2002. </reference>
		<reference numeration="17" content_type="text"> Bleck R., Rooth, C., Hu, D., and Smith, L. T.: Salinity-driven Thermocline Transients in a Wind- and Thermohaline-forced Isopycnic Coordinate Model of the North Atlantic, J. Phys. Oceanogr., 22, 1486â€“1505, 1992. </reference>
		<reference numeration="18" content_type="text"> Boden, T. A., Marland, G., and Andres, R. J.: Global, regional, and national CO&lt;sub&gt;2&lt;/sub&gt; emissions. Trends: A compendium of data on global change, Carbon Dioxide Information Analysis Center, US Department of Energy, Oak Ridge, TN, USA, doi:10.3334/CDIAC/00001, 2009. </reference>
		<reference numeration="19" content_type="text"> Bolin, B., and Eriksson, E.: Changes in the carbon dioxide content of the atmosphere and sea due to fossil fuel combustion, in: Th eatmosphere and the sea in motion, Rossby Memorial Volume, edited by: Bolin, B., Rockefeller Inst., New York, 130â€“142, 1957. </reference>
		<reference numeration="20" content_type="text"> Boyer, T. P., Antonov, J. I., Garcia, H. E., Johnson, D. R., Locarnini, R. A., et al.: World Ocean Database 2005,edited by: Levitus, S., NOAA Atlas NESDIS 60, US Government Printing Office, Washington, DC, 190~pp., DVDs, 2006. </reference>
		<reference numeration="21" content_type="text"> Buch, K., Harvey, H. W., Wattenberg, H., and Gripenberg, S.: Ãœber das KohlensÃ¤uresystem im Meerwasser, Conseil. Perm. Internat. p. l&apos;Explor. de la Mer, Rapp. et Proc.-Verb., 79, 70~pp., 1932. </reference>
		<reference numeration="22" content_type="text"> Buesseler, K.O., Antia, A.N., Chen, M., Fowler, S. W., Gardner, W. D., Gustaffson, O., Harada, K., Michaels, A. F., Rutgers van der Loeff, M., Sarin, M., Steinberg, D. K., and Trull, T.: An assessment of the use of sediment traps for estimating upper ocean particle fluxes, J. Mar. Res., 65, 345â€“415, 2007. </reference>
		<reference numeration="23" content_type="text"> Caldeira, K. and Wickett, M. E.: Anthropogenic carbon and ocean pH, Nature, 425, 365~pp., doi:10.1038/425365a, 2003. </reference>
		<reference numeration="24" content_type="text"> Carr, M.-E., Friedrichs, M. A. M., Schmetz, M., et al.: A comparison of global estimates of marine primary production from ocean colour, Deep-Sea Res., 53, 741â€“770, 2006. </reference>
		<reference numeration="25" content_type="text"> Denman, K. L., Brasseur, G., Chidthaisong, A., Ciaism, P., Cox, P. M., et al.: Couplings Between Changes in the Climate System and Biogeochemistry, in: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Solomon, S., Qin, D., Manning, M., Chen, Z., Marquis, M., Averyt, K. B., Tignor, M., and Miller, H. L., Cambridge University Press, Cambridge, United Kingdom und New York, NY, USA, 2007. </reference>
		<reference numeration="26" content_type="text"> Doney, S.C., Lindsay, K., Caldeira, K., Campin, J.-M., Drange, H. et al.: Evaluating global ocean carbon models: The importance of realistic physics, Global Biogeochem. Cy., 18, GB3017, doi:10.1029/2003GB002150, 2004 </reference>
		<reference numeration="27" content_type="text"> Drange, H. and Simonsen, K.: Formulation of Air-Sea Fluxes in the ESOP2 Version of MICOM, Technical Report 125, Nansen Environmental and Remote Sensing Center, Bergen, Norway, 23~pp., 1996. </reference>
		<reference numeration="28" content_type="text"> Drange, H.: A 3-dimensional isopycnic coordinate model of the seasonal cycling of carbon and nitrogen in the Atlantic Ocean, Phys. Chem. Earth, 21(5â€“6), 503â€“509, 1996. </reference>
		<reference numeration="29" content_type="text"> Drange, H., Gerdes, R., Gao, Y., Karcher, M., Kauker, F. and Bentsen, M.: Ocean general circulation modelling of the Nordic Seas, edited by: Drange, H., Dokken, T., Furevik, T., Gerdes, R. and Berger, W., in: The Nordic Seas: An integrated perspective, AGU Monograph 158, American Geophysical Union, Washington DC, 2005. </reference>
		<reference numeration="30" content_type="text"> Duce, R. A., LaRoche, J., Altieri, K., K. R. Arrigo, K. R., Baker, A. R., et al.: Impacts of Atmospheric Anthropogenic Nitrogen on the Open Ocean, Science, 320, 893â€“897, 2008. </reference>
		<reference numeration="31" content_type="text"> Dukowicz, J. K. and Baumgardner, J. R.: Incremental Remapping as a Transport/Advection Algorithm, J. Comput. Phys., 160, 318â€“335, 2000. </reference>
		<reference numeration="32" content_type="text"> Eppley, R. W.: Temperature and phytoplankton growth in the sea, Fish B-NOAA, 70, 1063â€“1085, 1972. </reference>
		<reference numeration="33" content_type="text"> Eppley, R. W. and Peterson, B. J.: Particulate organic matter flux and planktonic new production in the deep ocean, Nature, 282, 677â€“680, doi:10.1038/282-677a0, 1979. </reference>
		<reference numeration="34" content_type="text"> Fairall, C., Bradley, E., Rogers, D., Edson, J., and Young, G.: Bulk parameterization of air-sea fluxes for tropical oceanglobal atmosphere coupled ocean atmosphere response experiment, J. Geophys. Res., 101, 3747â€“3764, 1996. </reference>
		<reference numeration="35" content_type="text"> Falck, E., Kattner, G., and Budeus, G.: Disappearance of Pacific Water in the northwestern Fram Strait, Geophys. Res. Lett., 32, L14619, doi:10.1029/2005GL023400, 2005. </reference>
		<reference numeration="36" content_type="text"> Fasham, M. J. R., Ducklow, H.,W., and McKelvie, S. M.: A nitrogen based model of plankton dynamics in the ocean mixed layer, J. Mar. Res., 48, 591â€“639, 1990. </reference>
		<reference numeration="37" content_type="text"> Feistel, R.: A new extended Gibbs thermodynamic potential of seawater, Prog. Oceanogr., 58, 43â€“114, 2004. </reference>
		<reference numeration="38" content_type="text"> Friedlingstein, P., Cox, P., Betts, R., Bopp, L., von Bloh, W., et al.: Climate Carbon Cycle Feedback Analysis: Results from the C4MIP Model Intercomparison, J. Climate, 19, 3337â€“3353, doi:10.1175/JCLI3800.1, 2006. </reference>
		<reference numeration="39" content_type="text"> Furevik, T., Bentsen, M., Drange, H., Kindem, I. K. T., KvamstÃ¸, N. G., and Sorteberg, A.: Description and evaluation of the Bergen Climate Model: ARPEGE coupled with MICOM, Clim. Dynam., 21, 27â€“51, 2003. </reference>
		<reference numeration="40" content_type="text"> Gao, Y., Drange, H., Bentsen, M. and Johannessen, O.: Tracer-derived transit time of the waters in the eastern Nordic Seas, Tellus, 57B, 332â€“340, 2005. </reference>
		<reference numeration="41" content_type="text"> Gehlen, M., Bopp, L., and Aumont, O.: Short-term dissolution response of pelagic carbonate sediments to the invasion of anthropogenic CO&lt;sub&gt;2&lt;/sub&gt;: A model study, Geochem. Geophy. Geosy., 9(2), Q02012, doi:10.1029/2007GC001756, 2008. </reference>
		<reference numeration="42" content_type="text"> Gent, P. R., and McWilliams, J. C.: Isopycnal Mixing in Ocean Circulation Models, J. Phys. Oceanogr., 20, 150â€“155, 1990. </reference>
		<reference numeration="43" content_type="text"> Griffies, S. M., BÃ¶ning, C., Bryan, F. O., Chassignet, E. P., Gerdes, R., Hasumi, H., Hirst, A., Treguier, A.-M., and Webb, D.: Developments in ocean climate modelling, Ocean Model., 2, 123â€“192, 2000. </reference>
		<reference numeration="44" content_type="text"> Hallberg, R.: A thermobaric instability of Lagrangian vertical coordinate ocean models, Ocean Model., 8(3), 279â€“300, 2005. </reference>
		<reference numeration="45" content_type="text"> Harder, M.: Dynamik, Rauhigkeit und Alter des Meereises in der Arktis, Alfred-Wegener-Institut fÃ¼r Polar- und Meeresforschung, Bremerhaven, Germany, 124~pp., 1996. </reference>
		<reference numeration="46" content_type="text"> Haigh, S. P., Denman, K. L., and Hsieh, W. W.: Simulation of the planktonic ecosystem response to pre- and post-1976 forcing in an isopycnic model of the North Pacific, Can. J. Fish. Aquat. Sci., 58, 703â€“722, 2001. </reference>
		<reference numeration="47" content_type="text"> Hat\`un, H., SandÃ¸, A.-B., Drange, H. , Hansen, B. and Valdimarsson, H.: Influence of the Atlantic subpolar gyre on the thermohaline circulation, Science, 309, 1841â€“1844, 2005. </reference>
		<reference numeration="48" content_type="text"> Heinze, C., Maier-Reimer, E., Winguth, A. M. E., and Archer, D.: A global oceanic sediment model for long-term climate studies, Global Biogeochem. Cy., 13(1), 221â€“250, 1999. </reference>
		<reference numeration="49" content_type="text"> Hibler III, W. D.: A Dynamic Thermodynamic Sea Ice Model, J. Phys. Oceanogr., 9, 815â€“846, 1979. </reference>
		<reference numeration="50" content_type="text"> Houghton, R. A.: The annual net flux of carbon to the atmosphere from changes in land use 1850â€“1990, Tellus , 51B, 298â€“313, 1999. </reference>
		<reference numeration="51" content_type="text"> Hsu, Y. G. and Arakawa, A.: Numerical Modeling of the Atmosphere with an Isentropic Vertical Coordinate, Mon. Weather Rev., 118, 1933â€“1959, 1990. </reference>
		<reference numeration="52" content_type="text"> IPCC: IPCC Special Report on Carbon Dioxide Capture and Storage, Prepared by Working Group III of the Intergovernmental Panel on Climate Change, editede by: Metz, B., O. Davidson, H. C. de Coninck, M. Loos, and L. A. Meyer, Cambridge University Press, Cambridge, UK and New York, NY, USA, 442~pp., 2005. </reference>
		<reference numeration="53" content_type="text"> Iverson, R. A., Esaias, W., and Turpie, K.: Ocean annual phytoplankton carbon and new production, and annual export production estimated with empirical equations and CZCS data, Glob. Change Biol., 51B, 57â€“72, 2000. </reference>
		<reference numeration="54" content_type="text"> Jackett, D. R., McDougall, T. J., Feistel, R., Wright, D. D., and Griffies, S. M.: Algorithms for Density, Potential Temperature, Conservative Temperature and the Freezing Temperature of Seawater, J. Atmos. Ocean. Tech., 23(12), 1709â€“1728, 2006. </reference>
		<reference numeration="55" content_type="text"> Janji&amp;#x0107;, Z. I.: Pressure gradient force and advection scheme used for forecasting with steep and small scale topography, BeitrÃ¤ge zur Physik der AtmosphÃ¤re , 50, 186â€“199, 1977. </reference>
		<reference numeration="56" content_type="text"> Jickells, T. D., An, Z. S., Andersen, K. K., Baker, A. R., Bergametti, G., et al.: Global Iron Connections Between Desert Dust, Ocean Biogeochemistry, and Climate, Science , 308, 67â€“71 , 2005. </reference>
		<reference numeration="57" content_type="text"> Jones, E. P., Swift, J. H., Anderson, L. G., Lipizer, M., Civitarese, G., Falkner, K. K., Kattner, G., and McLaughlin, F.: Tracing Pacific Water in the North Atlantic Ocean, J. Geophys. Res., 108 (C4), 3116, doi:10.1029/2001JC001141, 2003. </reference>
		<reference numeration="58" content_type="text"> Kalnay, E., Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L. et al.: The NCEP/NCAR 40-Year Reanalysis Project, B. Am. Meteorol. Soc., 77, 437â€“471, 1996. </reference>
		<reference numeration="59" content_type="text"> Laws, E. A., Falkowski, P. G., Smith, W. O., and Ducklow, H.: Temperature effects on export production in the open ocean, Global Biogeochem. Cy., 14(4), 1231â€“1246, 2000. </reference>
		<reference numeration="60" content_type="text"> LeQuÃ©rÃ©, C., S. P. Harrison, I. C. Prentice, Buitenhuism, E. T., Aumont, O., et al.: Ecosystem dynamics based on plankton functional types for global ocean biogeochemistry models, Glob. Change Biol., 11, 2016â€“2040, doi:10.1111/j.1365-2486.2005.01004.x, 2005. </reference>
		<reference numeration="61" content_type="text"> LeQuÃ©rÃ©, C., RÃ¶denbeck, C., Buitenhuis, E. T., Conway, T. J. et al.: Saturation of the Southern Ocean CO&lt;sub&gt;2&lt;/sub&gt; sink due to recent climate change, Science, 316, 1735â€“1738, 2007. </reference>
		<reference numeration="62" content_type="text"> Levitus, S. and Boyer, T.: World Ocean Atlas 1994, volume 4: temperature. NOAA Atlas NESDIS 4, US Department of Commerce, Washington, DC, 117~pp, 1994. </reference>
		<reference numeration="63" content_type="text"> Levitus S., Burgett, R. and Boyer, T.: World Ocean Atlas~1994, volume 3: salinity. NOAA Atlas NESDIS 3, US Department of Commerce, Washington, DC, 99~pp., 1994. </reference>
		<reference numeration="64" content_type="text"> Liu, X. D., Osher, S., and Chan, T.: Weighted Essential Non-Oscillatory Schemes, J. Comput. Phys., 115 , 200â€“212, 1994. </reference>
		<reference numeration="65" content_type="text"> Lohmann, K., Drange, H. and Bentsen, M.: Response of the North Atlantic subpolar gyre to persistent North Atlantic Oscillation like forcing, Clim. Dynam., 32(2â€“3), 273â€“285, doi:10.1007/s00382-008-0467-6, 2009. </reference>
		<reference numeration="66" content_type="text"> Mahowald, N., Baker, A., Bergametti, G., Brooks, N., Duce, R., Jickells, T., Kubilay, N., Prospero, J., and Tegen, I.: Atmospheric global dust cycle and iron inputs to the ocean, Global Biogeochem. Cy., 19(4), GB4025, doi:10.1029/2004GB002402, 2005. </reference>
		<reference numeration="67" content_type="text"> Maier-Reimer, E. and Hasselmann, K.: Transport and storage of CO&lt;sub&gt;2&lt;/sub&gt; in the ocean-an inorganic ocean-circulation carbon cycle model, Clim. Dynam., 2, 63â€“90, 1987. </reference>
		<reference numeration="68" content_type="text"> Maier-Reimer, E.: Geochemical cycles in an ocean general circulation model, Preindustrial tracer distribution, Global Biogeochem. Cy., 7, 645â€“677, 1993. </reference>
		<reference numeration="69" content_type="text"> Maier-Reimer, E., Kriest, I., Segschneider, J., and Wetzel, P.: The HAMburg Ocean Carbon Cycle Model HAMOCC5.1 â€“ Technical Description Release 1.1, Berichte zur Erdsystemforschung 14, ISSN 1614-1199, Max Planck Institute for Meteorology, Hamburg, Germany, 50~pp, 2005. </reference>
		<reference numeration="70" content_type="text"> Marinov, I., Gnanadesikan, A., Toggweiler, J. R., and Sarmiento, J. L.:The Southern Ocean biogeochemical divide, Nature, 441, 964â€“967, 2006. </reference>
		<reference numeration="71" content_type="text"> Marsland, S. J., Haak, H., Jungclaus, J. H., Latif, M. and RÃ¶ske, F.: The Max-Planck-Institute global ocean/sea ice model with orthogonal curvilinear coordinates, Ocean Model., 5(2), 91â€“127, doi:10.1016/S1463-5003(02)00015-X, 2003. </reference>
		<reference numeration="72" content_type="text"> Martin, J. H.: Glacial-Interglacial CO&lt;sub&gt;2&lt;/sub&gt; change: The iron hypothesis, Paleoceanography, 5(1), 1â€“13, 1990. </reference>
		<reference numeration="73" content_type="text"> Matsumoto, K., Sarmiento, J. L., Key, R. M., Aumont, O., Bullister, J. L., et al.: Evaluation of ocean carbon cycle models with data-based metrics, Geophys. Res. Lett., 31, L07303, doi:10.1029/2003GL018970, 2004. </reference>
		<reference numeration="74" content_type="text"> Matsumoto, K., and N. Gruber: How accurate is the estimation of anthropogenic carbon in the ocean? An evaluation of the DIC* method, Global Biogeochem. Cy., 19, GB3014, doi:10.1029/2004GB002397, 2005. </reference>
		<reference numeration="75" content_type="text"> Matsumoto, K.: Radiocarbon-based circulation age of the world oceans, J. Geophys. Res., 112, C09004, doi:10.1029/2007JC004095, 2007. </reference>
		<reference numeration="76" content_type="text"> McClelland, J.W., S.J. Dery, B.J. Peterson, R.M. Holmes, and E.F. Wood: A pan-arctic evaluation of changes in river discharge during the latter half of the 20th century, Geophys. Res. Lett., 33, L06715, doi:10.1029/2006GL025753, 2006. </reference>
		<reference numeration="77" content_type="text"> McDougall, T. J., and Jackett, D. R.: An Assessment of Orthobaric Density in the Global Ocean, J. Phys. Oceanogr., 35, 2054â€“2075, 2005. </reference>
		<reference numeration="78" content_type="text"> Metzl, N.: Decadal increase of oceanic carbon dioxide in Southern Indian Ocean surface waters (1991â€“2007), Deep-Sea Res Pt. II, 56, 607â€“619, doi:10.1016/j.dsr2.2008.12.007 , 2009. </reference>
		<reference numeration="79" content_type="text"> Moore, J. K. and Braucher, O.: Sedimentary and mineral dust sources of dissolved iron to the world ocean, Biogeosciences, 5, 631â€“656, 2008. </reference>
		<reference numeration="80" content_type="text"> Najjar, R., Sarmiento, J. L., and Toggweiler, J. R.: Downward transport and fate of organic matter in the ocean: Simulations with a general circulation model, Global Biogeochem. Cy., 6(1), 45â€“76, 1992. </reference>
		<reference numeration="81" content_type="text"> Nilsen, J., Gao, Y., Drange, H., Furevik, T., and Bentsen, M.: Simulated North Atlantic Nordic Seas water mass exchanges in an isopycnic coordinate OGCM, Geophys. Res. Lett., 30, 1536â€“1539, 2003. </reference>
		<reference numeration="82" content_type="text"> Orr, J.: Global Ocean Storage of Anthropogenic Carbon (GOSAC), EC Environment and Climate Programme (Contract ENV4-CT97-0495), Final Report, IPSL/CNRS, France, 128~pp., 2002. </reference>
		<reference numeration="83" content_type="text"> Orre, S., Gao, Y., Drange, H., and Deleersnijder, E.: Diagnosing ocean tracer transport from Sellafield and Dounreay by Equivalent Diffusion and Age, Adv. Atmos. Sci., 25(5), 805â€“814, 2008. </reference>
		<reference numeration="84" content_type="text"> Oschlies, A., Schulz, K. G., Riebesell, U., and Schmittner, A.: Simulated 21st centurys increase in oceanic suboxia by CO&lt;sub&gt;2&lt;/sub&gt;-enhanced biotic carbon export, Global Biogeochem. Cy., 22, GB4008, doi:10.1029/2007GB003147, 2008. </reference>
		<reference numeration="85" content_type="text"> Raven, J., Caldeira, K., Elderfield, H.,Hoegh-Guldberg, O., Liss, P., Riebesell, U., Shepherd, J., Turley, C., Watson, A., Heap, R., Banes, R., and Quinn, R.: Ocean acidification due to increasing atmospheric carbon dioxide, The Royal Society, London, Policy document 12/05, ISBN 0 85403 617 2, 68~pp., 2005. </reference>
		<reference numeration="86" content_type="text"> Revelle, R., and Suess, H. E.: Carbon dioxide exchange between atmosphere and ocean and the question of an increase of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; during past decades, Tellus, IX, 18â€“27, 1957. </reference>
		<reference numeration="87" content_type="text"> Ridgwell, A., and Hargreaves, J. C.: Regulation of atmospheric CO&lt;sub&gt;2&lt;/sub&gt; by deep-sea sediments in an Earth system model, Global Biogeochem. Cy., 21, GB2008, doi:10.1029/2006GB002764, 2007. </reference>
		<reference numeration="88" content_type="text"> Sabine, C. L., Feely, R. A., Gruber, N., Key, R. M. et al.: The Oceanic SInk for Anthropogenic CO&lt;sub&gt;2&lt;/sub&gt;, Science, 305, 367â€“371, 2004. </reference>
		<reference numeration="89" content_type="text"> Sabine, C. L., Key, R. M., Kozyr, A., Feely, R. A., Wanninckhof, R., Millero, F. J., Peng, T.-H., Bullister, J. L., and Lee, K.: Global Ocean Data Analysis Project: Results and Data. ORNL/CDIAC 145, NDP-083, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, US Department of Energy, Oak Ridge, Tennessee, 110~pp., 2005. </reference>
		<reference numeration="90" content_type="text"> Sarmiento, J. L., Gruber, N., Brzesinski, M. A., and Dunne, J. P.: High latitude controls of the global nutricline and low latitude biological production, Nature, 427, 56â€“60, 2004. </reference>
		<reference numeration="91" content_type="text"> Sarthou, G., Jeandel, C., Brisset, L., Amouroux, D., Besson, T., and Donard, O. F. X.: Fe and H&lt;sub&gt;2&lt;/sub&gt;O&lt;sub&gt;2&lt;/sub&gt; distributions in the upper water column in the Indian Sector of the Southern Ocean, Earth Planet Sc. Lett., 147, 83â€“92, 1997. </reference>
		<reference numeration="92" content_type="text"> Schlitzer, R.: Applying the Adjoint Method for Global Biogeochemical Modeling, in: Inverse Methods in Biogeochemical Cycles, edited by: Kasibhatla, P., Heimann, M., Hartley, D., Mahowald, N., Prinn, R., and Rayner, P., 107124, AGU, USA, 324~pp., 2000. </reference>
		<reference numeration="93" content_type="text"> Schneider, B., Bopp, L., Gehlen, M., Segschneider, J., Frölicher, T. L., Cadule, P., Friedlingstein, P., Doney, S. C., Behrenfeld, M. J., and Joos, F.: Climate-induced interannual variability of marine primary and export production in three global coupled climate carbon cycle models, Biogeosciences, 5, 597â€“614, 2008. </reference>
		<reference numeration="94" content_type="text"> Schuster, U., and Watson, A. J.: A variable and decreasing sink for atmospheric CO&lt;sub&gt;2&lt;/sub&gt; in the North Atlantic, J. Geophys. Res., 112, C11006, doi:10.1029/2006JC003941, 2007. </reference>
		<reference numeration="95" content_type="text"> Schuster, U., Watson, A. J., Bates, N. R., Corbiere, A., Gonzales- Davila, M., Metzl, N., Pierrot, D., and Santana-Casiano, M.: Trends in North Atlantic fCO&lt;sub&gt;2&lt;/sub&gt; from 1990 to 2006, Deep-Sea Res. Pt. II, 56, 620â€“629, doi:10.1016/j.dsr2.2008.12.011, 2009. </reference>
		<reference numeration="96" content_type="text"> Semiletov, I., Makshtas, A., Akasafu, S.-I., and Andreas, E. L.: Atmospheric CO&lt;sub&gt;2&lt;/sub&gt; balance: The role of arctic sea ice, Geophys. Res. Lett., 31, L05121, doi:10.1029/2003GL017996, 2004. </reference>
		<reference numeration="97" content_type="text"> Semtner, Jr., A. J.: A Model for the Thermodynamic Growth of Sea Ice in Numerical Investigations of Climate, J. Phys. Oceanogr., 6, 379â€“389, 1976. </reference>
		<reference numeration="98" content_type="text"> Sigman, D. M. and Boyle, E. A.: Glacial/interglacial variations in atmospheric carbon dioxide, Nature, 407, 859â€“869, 2000. </reference>
		<reference numeration="99" content_type="text"> Sillen, L-.G.: Regulation of O&lt;sub&gt;2&lt;/sub&gt;, N&lt;sub&gt;2&lt;/sub&gt; and CO&lt;sub&gt;2&lt;/sub&gt; in the atmosphere; thoughts of a laboratory chemiste, Tellus, XVIII(2), 198â€“206, 1966. </reference>
		<reference numeration="100" content_type="text"> Six, K. and Maier-Reimer, E.: Effects of plankton dynamics on seasonal carbon ßuxes in an ocean general circulation model, Global Biogeochem. Cy., 10, 559â€“583, 1996. </reference>
		<reference numeration="101" content_type="text"> Smolarkiewicz, P. K. and Margolin, L. G.: MPDATA: A Finite-Difference Solver for Geophysical Flows, J. Comput. Phys., 140, 459â€“480, 1998. </reference>
		<reference numeration="102" content_type="text"> Sun, S., Bleck, R., Rooth, C., Dukowicz, J., Chassignet, E., and Killworth, P.: Inclusion of Thermobaricity in Isopycnic-Coordinate Ocean Models, J. Phys. Oceanogr., 29, 2719â€“2729, 1999. </reference>
		<reference numeration="103" content_type="text"> de Szoeke, R. A.: Equations of Motion Using Thermodynamic Coordinates, J. Phys. Oceanogr., 30, 2814â€“2829, 2000. </reference>
		<reference numeration="104" content_type="text"> Takahashi, T., Sutherland, S. C., Sweeney, C., Poisson, A., et al.: Global sea-air CO&lt;sub&gt;2&lt;/sub&gt; flux based on climatological surface ocean $p$CO&lt;sub&gt;2&lt;/sub&gt; and seasonal biological and temperature effects, Deep-Sea Res. Pt. II, 49, 1601â€“1622, 2002. </reference>
		<reference numeration="105" content_type="text"> Takahashi, T., Sutherland, S. C., Wanninkhof, R., Sweeney, C., et al.: Climatological mean and decadal changes in surface ocean $p$CO&lt;sub&gt;2&lt;/sub&gt;, and net sea-air CO&lt;sub&gt;2&lt;/sub&gt; flux over the global oceans, Deep-Sea Res. II, 56, 554â€“577, doi:10.1016/j.dsr2.2008.12.009, 2009. </reference>
		<reference numeration="106" content_type="text"> Taylor, K. E.: Summarizing multiple aspects of model performance in a single diagram, J. Geophys. Res., 106(D7), 7183â€“7192, 2001. </reference>
		<reference numeration="107" content_type="text"> Timmermann, R. and Beckmann, A.: Parametrizations of vertical mixing in the Weddell Sea, Ocean Model, 6, 83â€“100, 2004. </reference>
		<reference numeration="108" content_type="text"> Tjiputra, J. F, Assmann, K. M., Bentsen, M., Bethke, I., Heinze, C., OtterÃ¥, O. H., and Sturm, C.: Assessment of regional climate-carbon cycle feedbacks using the Bergen earth system model (BCM-C), Geoscientific Model Development, submitted, 2009. </reference>
		<reference numeration="109" content_type="text"> Toggweiler, J. R., Russell, J. L., and Carson, S. R.: Midlatitude westerlies, atmospheric CO2, and climate change during the ice ages, Paleoceanography, 21, PA2005, doi:10.1029/2005PA001154, 2006. </reference>
		<reference numeration="110" content_type="text"> Treguer, P., Nelson, D. M., van Bennekom, A. J., DeMaster, D. J., Leynaert, A., and Queguinier, B.: The balance of silica in the world ocean: A re-estimate, Science, 268, 375â€“379, 1995. </reference>
		<reference numeration="111" content_type="text"> Wanninkhof, R.: Relationship between wind speed and gas exchange over the ocean, J. Geophys. Res., 97, 7373â€“7382, 1992. </reference>
		<reference numeration="112" content_type="text"> Weiss, R. F.: The solubility of nitrogen, oxygen and argon in water and sea water, Deep-Sea Res., 17, 721â€“735, 1970. </reference>
		<reference numeration="113" content_type="text"> Weiss, R. F.: Carbon dioxide in water and seawater: The solubility of a non-ideal gas, Mar. Chem., 2, 203â€“215, 1974. </reference>
		<reference numeration="114" content_type="text"> Wetzel, P., Winguth, A., and Maier-Reimer, E.: Sea-to-air CO&lt;sub&gt;2&lt;/sub&gt; flux from 1948 to 2003: A model study, Global Biogeochem. Cy., 19, GB2005, doi:10.1029/2004GB002339, 2005. </reference>
		<reference numeration="115" content_type="text"> Whitney, F. A., Freeland, H. J., and Robert, M.: Persistently declining oxygen levels in the interior waters of the eastern subarctic Pacific, Prog. Oceanogr., 75, 179â€“199, 2007. </reference>
		<reference numeration="116" content_type="text"> Zalesak, S. T.: Fully Multidimensional Flux-Corrected Transport Algorithms for Fluids, J. Comput. Phys., 31, 335â€“362, 1979. </reference>
	</references>
</article>

