The gyral resonance into the band 576-1152 years
In the North Atlantic, there are similarities between the Total Solar Irradiance (TSI) multiplied by the forcing efficiency and the global temperature into the band 576-1152 years characteristic of the 64×12=64x3x22=768 year period whose subharmonic mode is 3×22 (number of turns made during half a period). The two curves show a similarity mainly over the interval covering 9000 to 6000 years BP, that is, when the forcing efficiency is maximum.
The forcing efficiency, that is, the sensitivity of the global temperature (°C) to the solar insolation (W/m2), varies over time: equal to 1.5 °C(W/m2)-1 between 9000 and 6500 years BP, it decreases to 0.5 °C(W/m2)-1 after 5000 years BP. This is because the response of the gyre to the variations in the TSI is all the more enhanced as the gradient of the sea water temperature between low and high latitudes of the gyre is steeper. At the beginning of the Holocene, the pack ice extended further south, which explains the high radiative forcing efficiency. Then, gradual withdrawal of the pack ice made the positive feedback of the polar current on the thermocline depth less efficient.
Between 5000 and 2500 years BP the amplitude of solar irradiance into the band 576-1152 years decreases, and the Gyral Rossby Wave (GRW) disassociates from the solar irradiance cycle, both the amplitude and period. During this period of decoupling the GRW does not weaken because of the remanence of geostrophic forces throughout the gyre and along the drift currents (collective effects of the gyres in the various frequency bands), but its period lengthens, which indicates that the centroid of the gyre drifts poleward. The GRW is coupled to the solar cycle again between 2500 years BP and present during the upsurge of the solar cycle. Therefore the resonance of the 3×22 subharmonic mode GRW appears to be the main driver of climate variability during the Holocene.
The resonance into the 96-192 year band
GRWs are resonantly forced within the 96-192 year band, which results from the Gleissberg cycle of the Sun. The forcing efficiency varies a lot during the Holocene, mainly during the periods of low solar activity during which it weakens drastically.