A unified nonlinear multiscale interaction model of pacific-North American teleconnection patterns

In this paper, reanalysis data are first analyzed to reveal that the individual negative (positive)-phase Pacific-North American pattern (PNA) or PNA2 (PNA1) has a lifetime of 10-20 days, is characterized by strong (weak) westerly jet stream meanders, and exhibits clear wave train structures, whereas the PNA2 with rapid retrogression tends to have longer lifetime and larger amplitude than the PNA1 with slow retrogression. In contrast, the wave train structure of the North Atlantic Oscillation (NAO) is less distinct, and the positive (negative)-phase NAO shows eastward (westward) movement around a higher latitude than the PNA. Moreover, it is found that the PNA wave train occurs under a larger background meridional potential vorticity gradient (PVy) over the North Pacific than that over the North Atlantic for the NAO. A unified nonlinear multiscale interaction (UNMI) model is then developed to explain why the PNA as a nonlinear wave packet has such characteristics and its large difference from the NAO. The model results reveal that the larger background PVy for the PNA (due to its location at lower latitudes) leads to its larger energy dispersion and weaker nonlinearity than the NAO, thus explaining why the PNA (NAO) is largely a linear (nonlinear) process with a strong (weak) wave train structure, though it is regarded as a nonlinear initial-value problem. The smaller PVy for the PNA2 than for the PNA1 leads to lower energy dispersion and stronger nonlinearity for PNA2, which allows it to maintain larger amplitude and have a longer lifetime than the PNA1. Thus, the difference in the background PVy is responsible for the asymmetry between the two phases of PNA and the difference between the PNA and NAO.