Stochastic resonance in the thermohaline circulation

A wide variety of climate records have revealed the existence of sudden a recurrent climatic changes. An important part of this variability might be related to transitions between stable equilibrium states of the thermohaline circulation. Here, we employ a box model of the ocean thermohaline circulation to show that in the presence of environmental fluctuations, a subthreshold periodic perturbation in the fresh water fluxes can induce quasiperiodic transitions between the stable states of the thermohaline circulation. This enhanced response occurs for a wide range of frequencies, including the Milankovic orbital forcing, and amplitudes. The mechanism that allows such response of the system under small perturbations arise from a nonlinear cooperation between the periodic perturbations and the fluctuations. Through this nonlinear mechanism, called stochastic resonance, significant climatic variability may be originated due to small perturbations enhanced by environmental noise and dynamics.

[1]  Catherine Nicolis,et al.  Stochastic aspects of climatic transitions—response to a periodic forcing , 1982 .

[2]  D. Martinson,et al.  Milankovitch theory viewed from Devils Hole , 1993, Nature.

[3]  W. Broecker,et al.  Correlations between climate records from North Atlantic sediments and Greenland ice , 1993, Nature.

[4]  P. Bogden,et al.  Evaporation Minus Precipitation and Density Fluxes for the North Atlantic , 1989 .

[5]  G. Bond Climate and the conveyor , 1995, Nature.

[6]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[7]  Santucci,et al.  Stochastic resonance in bistable systems. , 1989, Physical review letters.

[8]  F. Bryan,et al.  High-latitude salinity effects and interhemispheric thermohaline circulations , 1986, Nature.

[9]  Arnold L. Gordon,et al.  Interocean Exchange of Thermocline Water , 1986 .

[10]  Carl Wunsch,et al.  Two transatlantic sections: meridional circulation and heat flux in the subtropical North Atlantic Ocean , 1985 .

[11]  A. Weaver,et al.  Rapid interglacial climate fluctuations driven by North Atlantic ocean circulation , 1994, Nature.

[12]  W. Broecker,et al.  Evidence for massive discharges of icebergs into the North Atlantic ocean during the last glacial period , 1992, Nature.

[13]  Syukuro Manabe,et al.  Two Stable Equilibria of a Coupled Ocean-Atmosphere Model , 1988 .

[14]  Stefan Rahmstorf,et al.  Simulation of modern and glacial climates with a coupled global model of intermediate complexity , 1998, Nature.

[15]  S. Lehman Ice sheets, wayward winds and sea change , 1993, Nature.

[16]  K. Vahala Handbook of stochastic methods for physics, chemistry and the natural sciences , 1986, IEEE Journal of Quantum Electronics.

[17]  S. Childress,et al.  Topics in geophysical fluid dynamics. Atmospheric dynamics, dynamo theory, and climate dynamics. , 1987 .

[18]  James C. McWilliams,et al.  The catastrophe structure of thermohaline convection in a two-dimensional fluid model and a comparison with low-order box models , 1992 .

[19]  A. Weaver,et al.  Multiple Equilibria of an Asymmetric Two-Basin Ocean Model , 1994 .

[20]  Carson C. Chow,et al.  Stochastic resonance without tuning , 1995, Nature.

[21]  S. Rahmstorf Bifurcations of the Atlantic thermohaline circulation in response to changes in the hydrological cycle , 1995, Nature.

[22]  J. Marotzke,et al.  Multiple Equilibria of the Global Thermohaline Circulation , 1991 .

[23]  H. Stommel,et al.  Thermohaline Convection with Two Stable Regimes of Flow , 1961 .

[24]  S. Levitus Climatological Atlas of the World Ocean , 1982 .

[25]  J. Willebrand,et al.  The Role of Temperature Feedback in Stabilizing the Thermohaline Circulation , 1995 .

[26]  W. Broecker,et al.  Does the ocean–atmosphere system have more than one stable mode of operation? , 1985, Nature.

[27]  Henry Stommel Thermohaline Convection with Two Stable Regimes of Flow , 1961 .

[28]  Paola Cessi,et al.  A Simple Box Model of Stochastically Forced Thermohaline Flow , 1994 .

[29]  M. Maslin,et al.  Sudden climate transitions during the Quaternary , 1999 .

[30]  P. Ditlevsen,et al.  Observation of α‐stable noise induced millennial climate changes from an ice‐core record , 1999 .

[31]  J. Marotzke,et al.  Instability and multiple steady states in a meridional-plane model of the thermohaline circulation , 1988 .

[32]  Claes Rooth,et al.  Hydrology and ocean circulation , 1982 .

[33]  Author address: , 1999 .

[34]  G. Parrilla,et al.  Rising temperatures in the subtropical North Atlantic Ocean over the past 35 years , 1994, Nature.

[35]  J. Jouzel,et al.  Evidence for general instability of past climate from a 250-kyr ice-core record , 1993, Nature.