This does NOT say that the ocean triggers or drives or causes the glacial-interglacial cycle.
Your own post convicts you.
Here is one paper investigating the possibility that they are due to the collapse of thermohaline circulation (THC) known in the Atlantic Ocean as the Atlantic Meridional Overturning Circulation (AMOC). High salinity water in North Atlantic cools and as it approaches maximum density (4C) it sinks several kilometers. A slow bottom flow then proceeds south and at the equator runs into a mirror image current coming from the southern pole. The two rise, bringing large amounts of dissolved nutrients to the surface at the equator. Warmed water slowly flows north (and south) to close the two loops. There is very little of such flow in the Pacific due to the low salinity of the water in the North Pacific. Even cooled to maximum density, it is not driven to sink. The difference between the behavior of the two basins has been recreated in a wide range of models. But there are strong indications that the current situation in the Atlantic is unstable and that it could be stopped altogether by a large input of fresh water, from melting ice in the Arctic and Greenland. Since this flow is responsible for the moderate temperature in Europe, the result would be catastrophic cooling there. That info is from the paper's abstract. Visit the link if you want more.
https://www.pnas.org/doi/10.1073/pnas.97.4.1347 [PNAS = Proceedings of the National Academy of Sciences]

Here is another paper that reports on an spontaneous abrupt cooling that took place in a high resolution model with sensitive sea-ice modelling. The cooling lasted approximately one century and stopped as abruptly as it had started. I'll let them explain: "The event was simulated in the preindustrial control run of a high-resolution climate model, without imposing external perturbations. Initial cooling started with a period of enhanced atmospheric blocking over the eastern subpolar gyre. In response, a southward progression of the sea-ice margin occurred, and the sea-level pressure anomaly was locked to the sea-ice margin through thermal forcing. The cold-core high steered more cold air to the area, reinforcing the sea-ice concentration anomaly east of Greenland. The sea-ice surplus was carried southward by ocean currents around the tip of Greenland. South of 70°N, sea ice already started melting and the associated freshwater anomaly was carried to the Labrador Sea, shutting off deep convection. There, surface waters were exposed longer to atmospheric cooling and sea surface temperature dropped, causing an even larger thermally forced high above the Labrador Sea. In consequence, east of Greenland, anomalous winds changed from north to south, terminating the event with similar abruptness to its onset" https://www.pnas.org/doi/10.1073/pnas.1304912110
Here is a third paper that points out that "complex environmental systems are never in equilibrium" being constantly driven by oscillating inputs such as seasonal cycles, Milankovitch forcing and internal climate oscillations (ENSO, PDO, etc). This is a broader discussion than just the interglacial cycle but it does point out that under non-equilibrium conditions it is possible to have multiple alternative pseudo-stable states under identical forcing conditions between which a system can be "tipped" by small changes in external forcing. Abrupt Climate Change in an Oscillating World - Scientific Reports [Nature magazine]
 

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