Abstract Based on the potential vorticity (PV) theory and employing statistics and diagnostics, this study investigated the characteristics of the PV substance (PVS) and PV circulation (PVC) and the relationship between the PVC across the equator and tropopause in the Northern Hemisphere (NH) and the East Asian summer monsoon (EASM) in July. The results indicate that the elevation of the thermal tropopause produces a prominent downward slope in the midlatitudes, with stronger absolute PVS in the stratosphere. The wind-shear-related PVC penetrates the tropopause downward over the NH high latitudes, travels southward in general to the Southern Hemisphere (SH), penetrates the tropopause upward over the SH high latitudes, and finally travels northward to the northern stratosphere. The cross-equatorial PVC exhibits a layered structure from the surface to the tropopause depending on the vertical shear of the zonal wind. The cross-tropopause PVC has strong meridional gradients over the northern Tibetan Plateau (TP). The combined effects of the PVC across the tropopause and equator can trigger the adjustment of the tropospheric internal PVC, resulting in PVS and circulation redistribution within the NH. Abnormal temperature advection, moisture convergence, and vertical motion were generated, forming a meridional seesaw of precipitation over the East Asian summer monsoon area. Attribution diagnoses revealed that the tropical sea surface temperature anomaly contributed significantly to the cross-equatorial PVC, whereas the meridional gradient of the PVS over the northwestern TP contributes more to the cross-tropopause PVC. Their joint effects generate a precipitation seesaw in the EASM in July.
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