Before revision:  Further examinations suggest that such correlations are inherently non-linear and are associated with aharmonic torsional state transitions . Correspondingly, they occur on widely different and relatively longer time scales.
After revision:  Further examinations suggest that such correlations are inherently non-linear and are associated with aharmonic torsional state transitions are essential for such non-linear correlations, which correspondingly occur on widely different and relatively longer time scales.