Stochastic resonance in the thermohaline circulation

Vélez‐Belchí, P.; Álvarez, Alberto; Colet, Pere; Tintoré, Joaquı́n; Haney, Robert L.

doi:10.1029/2000gl012091

Cited by 34 publications

(34 citation statements)

References 23 publications

(20 reference statements)

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“…Stochastic resonance has recently been invoked in a simple conceptual, bistable model of the thermohaline circulation to trigger switches between thermal and haline circulation modes [21]. In contrast, we find that in our model the bistable Holocene climate is not susceptible to regime switches by stochastic resonance with plausible parameter choices and even unrealistically large noise amplitudes, and neither is it in conceptual models.…”

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confidence: 74%

Abrupt Glacial Climate Changes due to Stochastic Resonance

2002

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Using an ocean-atmosphere climate model we demonstrate that stochastic resonance could be an important mechanism for millennial-scale climate variability during glacial times. We propose that the glacial ocean circulation, unlike today's, was an excitable system with a stable and a weakly unstable mode of operation, and that a combination of weak periodic forcing and plausible-amplitude stochastic fluctuations of the freshwater flux into the northern North Atlantic can produce glacial warm events similar in time evolution, amplitude, spatial pattern, and interspike intervals to those found in the observed climate records.

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confidence: 74%

Abrupt Glacial Climate Changes due to Stochastic Resonance

2002

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“…This seems to suggest that although a periodic non-local forcing mechanism as Milankovitch forcing mechanism (Milankovitch, 1941) can act over well-defined periods, the system response may show non-linear relations, like power-law responses (Huybers and Curry, 2006). Between all the non-linear coupling mechanisms that can produce such patterns, the stochastic resonance is cited in the literature as a plausible phenomena that can trigger abrupt changes or climate oscillations (Gammaitoni et al, 1998;P.Vélez-Belchí et al, 2001;Alley et al, 2001;Ganopolski and Rahmstorf, 2002;Solé et al, 2007). It has also been argued that a possible cause mechanism that forces the change stadial-interstadial can be found in the change of the Atlantic thermohaline circulation (Clark et al, 2002;Rahmstorf, 2002;Stocker, 2002;Alley et al, 2003).…”

Section: Discussionmentioning

confidence: 99%

Using empirical mode decomposition to correlate paleoclimatic time-series

Solé

Turiel

Llebot

2007

Nat. Hazards Earth Syst. Sci.

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Abstract. Determination of the timing and duration of paleoclimatic events is a challenging task. Classical techniques for time-series analysis rely too strongly on having a constant sampling rate, which poorly adapts to the uneven time recording of paleoclimatic variables; new, more flexible methods issued from Non-Linear Physics are hence required. In this paper, we have used Huang's Empirical Mode Decomposition (EMD) for the analysis of paleoclimatic series. We have studied three different time series of temperature proxies, characterizing oscillation patterns by using EMD. To measure the degree of temporal correlation of two variables, we have developed a method that relates couples of modes from different series by calculating the instantaneous phase differences among the associated modes. We observed that when two modes exhibited a constant phase difference, their frequencies were nearly equal to that of Milankovich cycles. Our results show that EMD is a good methodology not only for synchronization of different records but also for determination of the different local frequencies in each time series. Some of the obtained modes may be interpreted as the result of global forcing mechanisms.

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“…Stommel's (1961) two-box model has provided the leading ideas to show the possibility of two stable regimes of THC under mixed boundary conditions. Indeed one of the current explanations of the Dansgaard-Oeschger millennial events of the last glacial maximum is the so-called stochastic resonance mechanism, which combines periodic forcing and noise to produce transitions between stable regimes of flow (Alley et al 2001;Velez-Belchi et al 2001;Ganopolski and Rahmstorf 2002). Indeed one of the current explanations of the Dansgaard-Oeschger millennial events of the last glacial maximum is the so-called stochastic resonance mechanism, which combines periodic forcing and noise to produce transitions between stable regimes of flow (Alley et al 2001;Velez-Belchi et al 2001;Ganopolski and Rahmstorf 2002).…”

Section: Introductionmentioning

confidence: 99%

A Simple Model of Millennial Oscillations of the Thermohaline Circulation

Verdière¹

2007

Journal of Physical Oceanography

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Stommel's two-box model of thermohaline circulation is modified to include the possibility of convection. When reduced to a two-degrees-of-freedom dynamical system, the model exhibits the well-known multiple (thermal and haline) steady states as well as new convective thermal steady states. However, for some values of the control parameters (such as the freshwater flux) oscillations occur. Millennial period oscillatory regimes correspond to switches between the Stommel's haline fixed point and the convective thermal state, both of which are unstable in a window of precipitation values. The transitions between steady and oscillatory regimes at the boundaries of the window are global bifurcations, which in some cases have an infinite period character. This character is due either to the proximity of the Stommel saddle node bifurcation or to the infinite time it takes for the convection to resume when the system is in the haline regime. The oscillations bear a close relationship to those of Welander's flip-flop model. The physics of this class of millennial oscillations may be relevant to those observed in more complex OGCMs and may help to rationalize certain features of the millennial band oscillations that punctuate the last glacial period.

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Stochastic resonance in the thermohaline circulation

Cited by 34 publications

References 23 publications

Abrupt Glacial Climate Changes due to Stochastic Resonance

Abrupt Glacial Climate Changes due to Stochastic Resonance

Using empirical mode decomposition to correlate paleoclimatic time-series

A Simple Model of Millennial Oscillations of the Thermohaline Circulation

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