Abstract
The study of the Earth System has a long tradition of using simplified models to achieve a quantitative understanding of processes that are responsible for climate change. The examples of the carbon cycle and the ocean circulation in shaping past and future climate evolution are discussed here and the development from early box models to dynamical models of reduced complexity is reviewed. The latter models are beginning to play a significant and increasing role on our way to a better understanding of the Earth System.
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References
Alley, R. B. 2000. Ice-core evidence of abrupt climate change. Proc. US Natl. Acad. Sci. 97, 1331–1334.
Alley, R. B., Mayewski, P. A., Sowers, T., Stuiver, M., Taylor, K. C. and Clark, P. U. 1997. Holocene climatic instability: A prominent, widespread event 8200 yr ago. Geology 25, 483–486.
Barber, D. C., Dyke, A., Hillaire-Marcel, C., Jennings, A. E., Andrews, J. T., Kerwin, M. W., Bilodeau, G., McNeely, R., Southon, J., Morehead, M. D. and Gagnon, J.-M. 1999. Forcing of the cold event of 8,200 years ago by catastrophic drainage of Laurentide lakes. Nature 400, 344–348.
Blunier, T. et al. 1997. Timing of temperature variations during the last deglaciation in Antarctica and the atmospheric CO2 increase with respect to the Younger Dryas event. Geophys. Res. Let. 24, 2683–2686.
Blunier, T., Chappellaz, J., Schwander, J., Dällenbach, A., Stauffer, B., Stocker, T. F., Raynaud, D., Jouzel, J., Clausen, H. B., Hammer, C. U. and Johnsen, S. J. 1998. Asynchrony of Antarctic and Greenland climate change during the last glacial period. Nature 394, 739–743.
Blunier, T., Schwander, J., Stauffer, B., Stocker, T., Dällenbach, A., Indermühle, A., Tschumi, J., Chappellaz, J., Raynaud, D. and Barnola, J.-M. 1997. Timing of temperature variations during the last deglaciation in Antarctica and the atmospheric CO2 increase with respect to the Younger Dryas event. Geophys. Res. Let. 24, 2683–2686.
Bond, G. C. and Lotti, R. 1995. Iceberg discharges into the North Atlantic on millennial time scales during the last glaciation. Science 267, 1005–1010.
Böning, C., Bryan, F. O., Holland, W. R. and Döscher, R. 1996. Deep-water formation and meridional overturning in a high-resolution model of the North Atlantic. J. Phys. Oceanogr. 26, 1142–1164.
Broecker, W. S. 1987. The biggest chill. Natural Hist. 96, 74–82.
Broecker, W. S. 1991. The great ocean conveyor. Oceanography 4, 79–89.
Broecker, W. S. 1998. Paleocean circulation during the last d°glaciation: a bipolar seesaw? Paleoceanogr. 13, 119–121.
Broecker, W. S., Peteet, D. M. and Rind, D. 1985. Does the ocean-atmosphere system have more than one stable mode of operation? Nature 315, 21–25.
Bryan, F. 1986. High-latitude salinity effects and interhemispheric thermohaline circulations. Nature 323, 301–304.
Budyko, M. I. 1969. The effect of solar radiation variations on the climate of the earth. Tellus 21, 611–619.
Cane, M. A. 1998. A role for the tropics. Science 282, 59–61.
Chappellaz, Blunier, J. T., Raynaud, D., Barnola, J. M., Schwander, J. and Stauffer, B. 1993. Synchronous changes in atmospheric CH4 and Greenland climate between 40 and 8 kyr BP. Nature 366, 443–445.
Claussen, M., Kubatzki, C., Brovkin, V., Ganopolski, A., Hoelzmann, P. and Pachur, H. 1999. Simulation of an abrupt change in Saharan vegetation in the mid-Holocene. Geophys. Res. Let. 26, 2037–2040.
Clement, A., Seager, R., and Cane, M. 1999. Orbital controls on the El Nino/Southern Oscillation and the tropical climate. Paleoceanogr. 14, 441–455.
Crowley, T. J. 1992. North Atlantic deep water cools the southern hemisphere. Paleoceanogr. 7, 489–497.
Crowley, T. J. and Baum, S. K. 1997. Effect of vegetation on an ice-age climate model simulation. J. Geophys. Res. 102, 16463–16480.
Crowley, T. J. and North, G. R. 1991. Paleodimatology. Number 18 in Oxford Monographs on Geology and Geophysics. Oxford University Press. 339 pp.
Dällenbach, A., Blunier, T., Flückiger, J., Stauffer, B., Chappellaz, J. and Raynaud, D. 2000. Changes in the atmospheric CH4 gradient between Greenland and Antarctica during the Last Glacial and the transition to the Holocene. Geophys. Res. Let. 27, 1005–1008.
Dansgaard, W., Johnsen, S. J., Clausen, H. B., Dahl-Jensen, D., Gundestrup, N. S., Hammer, C. U., Hvidberg, C. S., Steffensen, J. P., Sveinbjornsdottir, A. E., Jouzel, J. and Bond, G. 1993. Evidence for general instability of past climate from a 250-kyr ice-core record. Nature 364, 218–220.
de Ruijter, W. P. M., Biastoch, A., Drijfhout, S. S., Lutjeharms, J. R. E., Matano, R. P., Pichevin, T., van Leeuwen, P. J. and Weijer, W. 1998. Indian-Atlantic interoceaqn exchange: Dynamics, estimation and impact. J. Geophys. Res. 104, 20885–20910.
Dixon, K. W., Delworth, T. L., Spelman, M. J., and Stouffer, R. J. 1999. The influence of transient surface fluxes on North Atlantic overturning in a coupled GCM climate change experiment. Geophys. Res. Let. 26, 2749–2752.
Fedorov, A. V. and Philander, S. G. 2000. Is El Niño changing? Science 288, 1997–2002.
Galleé, H., Van Ypersele, J. P., Fichefet, T., Tricot, C. and Berger, A. 1991. Simulation of the last glacial cycle by a coupled, sectorially averaged climate-ice sheet model. 1. the climate model. J. Geophys. Res. 96, 13139–13161.
Ganopolski, A., Rahmstorf, S., Petoukhov, V. and Claussen, M. 1998. Simulation of modern and glacial climates with a coupled global model of intermediate complexity. Nature 391, 351–356.
Gill, A. E. 1982. Atmosphere-Ocean Dynamics, Volume 30 of Int. Geophys. Ser. Academic, San Diego, Calif. 662 pp.
Gordon, A. L. 1986. Interocean exchange of thermocline water. J. Geophys. Res. 91, 5037–5046.
Hall, M. M. and Bryden, H. L. 1982. Direct estimates and mechanisms of ocean heat transport. Deep Sea Res. 29, 339–359.
Heinrich, H. 1988. Origin and consequences of cyclic ice rafting in the Northeast Atlantic Ocean during the past 130,000 years. Quat. Res. 29, 142–152.
Indermühle, A., Monnin, E., Stauffer, B., Stocker, T. F. and Wahlen, M. 2000. Atmospheric CO2 concentration from 60 to 20 kyr BP from the Taylor Dome ice core, Antarctica. Geophys. Res. Let. 27, 735–738.
IPCC 1996. Climate Change 1995, The Science of Climate Change. Intergovernmental Panel on Climate Change, Cambridge University Press. 572 pp.
IPCC 2001. Third Assessment Report of Climate Change. Intergovernmental Panel on Climate Change, Cambridge University Press (in press).
Joos, F., Plattner, G.-K., Stocker, T. F., Marchai, O. and Schmittner, A. 1999. Global warming and marine carbon cycle feedbacks on future atmospheric CO2. Science 284, 464–467.
Knutti, R. and Stocker, T. F. 2000. Influence of the thermohaline circulation on projected sea level rise. J. Clim. 13, 1997–2001.
Knutti, R., Stocker, T. F. and Wright, D. G. 2000. The effects of sub-grid-scale parameterizations in a zonally averaged ocean model. J. Phys. Oceanogr. 30, 2738–2752.
Lang, C., Leuenberger, M., Schwander, J. and Johnsen, S. 1999. 16°C rapid temperature variation in Central Greenland 70,000 years ago. Science 286, 934–937.
Leuenberger, M., Lang, C. and Schwander, J. 1999. δ 15N measurements as a calibration tool for the paleothermometer and gas-ice age differences. A case study for the 8200 B.P. event on GRIP ice. J. Geophys. Res. 104, 22163–22170.
Liu, Z., Kutzbach, J. and Wu, L. 2000. Modeling climate shift of El Nino variability in the Holocene. Geophys. Res. Let. 27, 2269–2272.
MacAyeal, D. R. 1993. A low-order model of the Heinrich event cycle. Paleoceanogr. 8, 767–773.
Macdonald, A. M. and Wunsch, C. 1996. An estimate of global ocean circulation and heat fluxes. Nature 382, 436–439.
Maier-Reimer, E., Mikolajewicz, U. and Winguth, A. 1996. Future ocean uptake of CO2: interaction between ocean circulation and biology. Clim. Dyn. 12, 711–721.
Manabe, S. and Stouffer, R. J. 1988. Two stable equilibria of a coupled ocean-atmosphere model. J. Clim. 1, 841–866.
Manabe, S. and Stouffer, R. J. 1993. Century-scale effects of increased atmospheric CO2 on the ocean-atmosphere system. Nature 364, 215–218.
Manabe, S. and Stouffer, R. J. 1997. Coupled ocean-atmosphere model response to freshwater input: comparison to Younger Dryas event. Paleoceanogr. 12, 321–336.
Marchai, O., François, R., Stocker, T. F. and Joos, F. 2000. Ocean thermohaline circulation and sedimentary 231Pa/230Th ratio. Paleoceanogr. 15, 625–641.
Marchai, O., Stocker, T. F. and Joos, F. 1998. Impact of oceanic reorganizations on the ocean carbon cycle and atmospheric carbon dioxide content. Paleoceanogr. 13, 225–244.
Marchai, O., Stocker, T. F., Joos, F., Indermühle, A., Blunier, T. and Tschumi, J. 1999. Modelling the concentration of atmospheric CO2 during the Younger Dryas climate event. Clim. Dyn. 15, 341–354.
Marotzke, J. 1990. Instabilities and Multiple Equilibria of the Thermohaline Circulation. Ph. D. thesis, Christian-Albrechts-Universität Kiel. 126 pp.
Marotzke, J., Welander, P., and Willebrand, J. 1988. Instability and multiple equilibria in a meridional-plane model of the thermohaline circulation. Tellus 40A, 162–172.
Marshall, J. and Schott, F. 1999. Open-ocean convection: observations, theory and models. Rev. Geophys. 37, 1–64.
Mikolajewicz, U. and Maier-Reimer, E. 1994. Mixed boundary conditions in ocean general circulation models and their influence on the stability of the model’s conveyor belt. J. Geophys. Res. 99, 22633–22644.
Mikolajewicz, U. and Voss, R. 2000. The role of the individual air-sea flux components in C02-induced changes of the ocean’s circulation and climate. Clim. Dyn. 16, 627–642.
North, G. R., Cahalan, R. F. and Coakley, J. A. 1981. Energy balance climate models. Rev. Geophys. Space Phys. 19, 91–121.
Pedlosky, J. 1996. Ocean Circulation Theory. Springer. 453 pp.
Petoukhov, V., Ganopolski, A., Brovkin, V., Claussen, M., Eliseev, A., Kubatzki, C., and Rahmstorf, S. 2000. CLIMBER-2: a climate system model of intermediate complexity. Part I: model description and performance for present climate. Clim. Dyn. 16, 1–17.
Quon, C. and Ghil, M. 1994. Multiple equilibria and stable oscillations in ther-mosolutal convection at small aspect ratio. J. Fluid Mech. 291, 35–56.
Rahmstorf, S. 1995. Bifurcations of the Atlantic thermohaline circulation in response to changes in the hydrological cycle. Nature 378, 145–149.
Rooth, C. 1982. Hydrology and ocean circulation. Prog. Oceanogr. 11, 131–149.
Sachs, J. P. and Lehman, S. J. 1999. Subtropical North Atlantic temperatures 60,000 to 30,000 years ago. Science 286, 756–759.
Saravanan, R. and McWilliams, J. C. 1995. Multiple equilibria, natural variability, and climate transitions in an idealized ocean-atmosphere model. J. Clim. 8, 2296–2323.
Sarmiento, J. L. and Le Quéré, C. 1996. Oceanic carbon dioxide in a model of century-scale global warming. Science 274, 1346–1350.
Schiller, A., Mikolajewicz, U. and Voss, R. 1997. The stability of the North Atlantic thermohaline circulation in a coupled ocean-atmosphere general circulation model. Clim. Dyn. 13, 325–347.
Schmittner, A., Appenzeller, C. and Stocker, T. F. 2000. Enhanced Atlantic freshwater export during El Niño. Geophys. Res. Let. 27, 1163–1166.
Schmittner, A. and Stocker, T. F. 1999. The stability of the thermohaline circulation in global warming experiments. J. Clim. 12, 1117–1133.
Schmittner, A. and Stocker, T. F. 2001. A seasonally forced ocean-atmosphere model for paleoclimate studies. J. Clim. (in press).
Schmitz, W. J. 1995. On the interbasin-scale thermohaline circulation. Rev. Geophys. 33, 151–173.
Sellers, W. D. 1969. A global climate model based on the energy balance of the earth-atmosphere system. J. Appl. Meteorol. 8, 392–400.
Stauffer, B., Blunier, T., Dällenbach, A., Indermühle, A., Schwander, J., Stocker, T. F., Tschumi, J., Chappellaz, J., Raynaud, D., Hammer, C. U. and Clausen, H. B. 1998. Atmospheric CO2 and millennial-scale climate change during the last glacial period. Nature 392, 59–62.
Stocker, T. F. 1998. The seesaw effect. Science 282, 61–62.
Stocker, T. F. 1999. Climate changes: from the past to the future — a review. Int. J. Earth Sci. 88, 365–374.
Stocker, T. F. 2000. Past and future reorganisations in the climate system. Quat. Sci. Rev. 19, 301–319.
Stocker, T. F. and Marchai, O. 2000. Abrupt climate change in the computer: is it real? Proc. US Natl. Acad. Sci. 97, 1362–1365.
Stocker, T. F. and Schmittner, A. 1997. Influence of CO2 emission rates on the stability of the thermohaline circulation. Nature 388, 862–865.
Stocker, T. F. and Wright, D. G. 1991a. Rapid transitions of the ocean’s deep circulation induced by changes in surface water fluxes. Nature 351, 729–732.
Stocker, T. F. and Wright, D. G. 1991b. A zonally averaged model for the thermohaline circulation. Part II: Interocean exchanges in the Pacific-Atlantic basin system. J. Phys. Oceanogr. 21, 1725–1739.
Stocker, T. F. and Wright, D. G. 1996. Rapid changes in ocean circulation and atmospheric radiocarbon. Paleoceanogr. 11, 773–796.
Stocker, T. F., Wright, D. G. and Broecker, W. S. 1992a. The influence of high-latitude surface forcing on the global thermohaline circulation. Paleoceanogr. 7, 529–541.
Stocker, T. F., Wright, D. G. and Mysak, L. A. 1992b. A zonally averaged, coupled ocean-atmosphere model for paleoclimate studies. J. Clim. 5, 773–797.
Stommel, H. 1948. The westward intensification of wind-driven ocean currents. Trans. Am. Geophys. Union 29, 202–206.
Stommel, H. 1958. The abyssal circulation. Deep Sea Res. 5, 80–82.
Stommel, H. 1961. Thermohaline convection with two stable regimes of flow. Tel-lus 13, 224–241.
Stommel, H. and Arons, A. B. 1960. On the abyssal circulation of the world ocean — I. Stationary planetary flow patterns on a sphere. Deep Sea Res. 6, 140–154.
Stouffer, R. J. and Manabe, S. 1999. Response of a coupled ocean-atmosphere model to increasing atmospheric carbon dioxide: sensitivity to the rate of increase. J. Clim. 12, 2224–2237.
Trenberth, K. E. and Solomon, A. 1994. The global heat balance: heat transports in the atmosphere and ocean. Clim. Dyn. 10, 107–134.
Tziperman, E. 2000. Proximity of the present-day thermohaline circulation to an instability threshold. J. Phys. Oceanogr. 30, 90–104.
Warren, B. A. 1981. Deep circulation of the world ocean. In B. A. Warren and C. Wunsch (Eds.), Evolution of Physical Oceanography — Scientific Surveys in Honor of Henry Stommel, pp. 6–41. MIT Press.
Wright, D. G. and Stocker, T. F. 1991. A zonally averaged ocean model for the thermohaline circulation, Part I: Model development and flow dynamics. J. Phys. Oceanogr. 21, 1713–1724.
Wright, D. G. and Stocker, T. F. 1992. Sensitivities of a zonally averaged global ocean circulation model. J. Geophys. Res. 97, 12,
Wright, D. G. and Stocker, T. F. 1992. Sensitivities of a zonally averaged global ocean circulation model. J. Geophys. Res. 97, 707–12,
Wright, D. G. and Stocker, T. F. 1992. Sensitivities of a zonally averaged global ocean circulation model. J. Geophys. Res. 97, 730.
Wright, D. G., Stocker, T. F. and Mercer, D. 1998. Closures used in zonally averaged ocean models. J. Phys. Oceanogr. 28, 791–804.
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Stocker, T.F. (2001). The Role of Simple Models in Understanding Climate Change. In: Straughan, B., Greve, R., Ehrentraut, H., Wang, Y. (eds) Continuum Mechanics and Applications in Geophysics and the Environment. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04439-1_18
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