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By simplifying the quasi-geostrophic vorticity equation, the relationship between the vertical motion and vertical shear of the meridional wind can be deduced, i.e.
$$ w \propto - \frac{{\partial v}}{{\partial z}} $$ (1) where w is the vertical motion, v is the meridional wind.
According to the thermal wind principle,
$$ - \frac{{\partial {{\overrightarrow V }_g}}}{{\partial p}} = \frac{R}{{fp}}\overrightarrow k \times {\nabla _p} \cdot T $$ (2) where T is air temperature, f is geostrophic vorticity, and R is a constant parameter.
It is noticed that there is a strong transition of zonal land-sea thermal contrast from winter to summer, while there is no signal change of meridional land-sea thermal contrast. In addition, in the subtropical region, the observed wind can be approximated as the geostrophic wind. Therefore, Eq. (2) can be rewritten as:
$$ \frac{{\partial v}}{{\partial p}} = - \frac{R}{f}\frac{1}{p}{\left( {\frac{{\partial T}}{{\partial x}}} \right)_p} $$ (3) By combining the Eq. (3) and Eq. (1), a new relationship Eq. (4) is inferred as:
$$ {\left( {\frac{{\partial T}}{{\partial x}}} \right)_p} \propto - \frac{{\partial v}}{{\partial z}} \propto w $$ (4) Thus, in Eq. (4), a thermal-wind-precipitation relationship is established by combining the thermal and dynamical processes, which include zonal land-sea thermal contrast, vertical shear of meridional wind, and precipitation associated with the summer monsoon. To validate Eq. (4) and for the sake of convenience, we choose 500 h Pa area mean air temperature contrast between the (80–110°E, 20–35°N) and (120–150°E, 20–35°N) region to stand for the whole-column thermal contrast between land and sea. For the whole troposphere, we take the meridional wind vertical shear as the parameter of monsoon meridional circulation of EASM, and the300 h Pa vertical motion as the inner response. Hence, Eq. (4) is deduced as
$$ {\left( {{T_L} - {T_S}} \right)_{500hPa}} \propto \left( {{v_{200hPa}} - {v_{925hPa}}} \right) \propto - {w_{300hPa}} $$ (5) where TL is whole-layer mean air temperature over land, Ts is air temperature over the sea.
Based on Eq. (5), the thermal-wind-precipitation relationship is shown in Figure 3.
Figure 3. Seasonal transition of the three factors in the 'thermal-wind-precipitation' relationship and pentad mean CMAP anomaly over the key EASM region (20–35°N, 110–120°E) (Cross:land-sea thermal difference (left vertical axis), units:deg K; solid circle:omega (left vertical axis), units:0.01 m/s; hollow circle:the high and low difference (right vertical axis), units:m/s; columnar:pentad precipitation anomaly (right vertical axis), units:mm/p; the transition time of the factors is indicated by two big circles.
As can be seen from Figure 3, the zonal sea-land thermal contrast, the vertical shear of meridional wind, and the 300 h Pa vertical movement along with the rainfall anomaly all presented a dominant seasonal reverse from winter (summer) to summer (winter). During late March and early April, the zonal land-sea thermal contrast and the vertical meridional wind shear both reversed from positive to negative, while the w and the anomaly rainfall changed from negative to positive.
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It has been known that the most fundamental definition of monsoon is the reverse of wind direction (e.g., from winter to summer). We first analyzed the wind direction on each of the layers at different periods of time.
Figure 4 shows the averaged wind direction change with height in different pentads. The thermal wind principle shows that the wind direction rotates anticlockwise with height throughout the winter half-year, associated with cold advection. By contrast, in summer, the wind direction on the low level (e.g., 925 h Pa) is southeast or south, west wind dominates in the middle layer (e.g., 500 h Pa) of the troposphere, and there is either northerly or westerly in the upper layer (e.g., 200 h Pa). It is identified that the transition time of EASM happened right after the 12th pentad and before the 22nd pentad.
During seasonal transition, the reverse of wind direction and thermal advection on the lower layer of the troposphere is most obvious (Table 1). As shown in the 925 h Pa wind field (Figure 5), in early January (1st pentad), the entire East Asia was covered by cold advection; in early March (12th pentad), the EASM region, except for a small area at the southwest side, was generally controlled by cold advection. However, in early April (the 22nd pentad), the EASM region was fully covered with warm advection, the EASM was completely established, and warm advection was centered in the Hunan, Guangdong, and Guangxi region. In late June and early July (36th pentad, i.e.during the SCS summer monsoon), warm advection was further developed, the maximum value center was located along the south of China to the north of China to the Huaihe River basin; while in late August (48th pentad), over the EASM region, warm advection decreased significantly, but the whole eastern China was still covered with warm advection; in early October (54th pentad), warm advection in the EASM region retreated, which was replaced by uniform cold advection. At this time, the mainland of the eastern China entered a rapidly cooling period in which the East Asian subtropical winter monsoon began to establish.
Season type Time/
pentadWind-direction
on 925 hPaWind-direction
on 500 hPaWind-direction
on 200 hPaR-type with
heightThermal
advectionWinter 54 NE NW NW AC CA 1 NE NW W AC CA 12 NE NW SW AC CA Summer 22 ES SW W C WA 36 S SW WN C WA 48 ES SW NE C WA (NE for northeasterly, ES for southeasterly, S for southerly, NW for northwesterly, SW for southwesterly, W for westerly, AC for anticyclone, C for cyclone, CA for cold advection, WA for warm advection) Table 1. Seasonal transition of wind direction and thermal advection.
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The above analysis confirmed that both the wind angle and the corresponding thermal flux characterized the seasonal transition of EASM from winter (summer) to summer (winter). In order to further clarify the exact time of seasonal transition of EASM, we designed a diagram to characterize the temporal evolution of area-averaged wind direction over the EASM region (Figure 6).
Figure 6. The pentad mean evolution of wind direction angle over the key region of EASM (hollow circle:10-m wind angle, solid circle:925 h Pa wind angle, cross:850 h Pa wind angle, fork:200 h Pa wind angle).
As shown in Figure 6, at 925 h Pa, the north wind suddenly changed into the south wind between the14th pentad and the 16th pentad over the EASM region before changing into a southwesterly wind during summer (6th-7th pentad). In the 48th pentad, an abrupt change of wind occurred from southeasterly to northeasterly. The ground 10-m wind field also shows an obvious change from winter to summer: before the 16th pentad, and the wind direction is northeasterly, which changed into southerly around the 18th pentad and northeasterly before the 54th pentad. Although not as obvious as the 10-m wind field and 925 h Pa wind field, a seasonal change at 850h Pa and 200 h Pa appears:the wind angle rotated almost 180 degrees just in three pentads (half a month). The summer and winter types of EASM are stabilized in late March to early April and late September to early October, respectively, representing the transition of EASM from winter (summer) to summer (winter).
As the evolution of wind direction at each of the layers is characterized as significant meridional change, the transformation of wind angle in high and low layers roughly reflected a transition in EASM meridional circulation. From the meridional circulation field in different periods (Figure 7) we can find that in early January (1st pentad), there are downward flows above the EASM region; the higher layers are with the southerly while the lower layers are with the northerly. In early March (12th pentad), a weak southerly appeared in the low layer, meanwhile week convection is generated at the middle-and lower-layer over the EASM region. In early April (22nd pentad), an obvious upward motion appeared over the EASM region. Southerly wind is prevalent at the low layer while there is weak northerly wind at the high layer. It is also noticed that at 200 h Pa, a clear closed circulation circle appeared around 20°N; to its south (north), there are downward (upward) airflows. This closed circulation is an excellent indicator for the setup of EASM. At the end of May and beginning of June (36th pentad), a time when SCS summer monsoon has already fully established, although there is consistent upward motion from the equator to 35°N, subtropical summer monsoon circulation and tropical summer monsoon circulation are still separated. By this time, the high (low) level has been occupied by the northerly (southerly) wind. At the end of August to early September (48th pentad), the south wind at the low layer are decelerated and the subtropical summer monsoon convection came into a decay stage. From the end of September to early October (54th pentad), it turned to the northerly wind at the low level when the subtropical winter monsoon was established.
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The seasonal transition of East Asian subtropical monsoon starts in the lower troposphere. In order to understand its building process and corresponding weather system, the evolution of the 10-m wind field is examined (Figure 8). As shown in Figure 8, in early January (1st pentad), the whole East Asia was controlled by a continental high. In early March (12th pentad), a mainland cold high moved eastward, when the northerly wind was replaced by northeasterly over eastern China; In early April (22nd pentad), the continental cold high moved towards the north of East China Sea, when eastern China was controlled by the southeasterly wind, which marked the establishment of the subtropical summer monsoon. At the end of June and early July (36th pentad), the cold high merged into the western Pacific subtropical high and the eastern China was entirely controlled by the southerly wind. In late September to early October (54th pentad), a cold high with a closed center was located over Shandong province, eastern China was controlled by northwesterly wind, and the subtropical monsoon circulation transformed from summer to winter. From the last panel of Figure 7 that shows the moving tracks of the cold high from the 12th pentad to 22nd pentad, it is known that it was around the 18th pentad that the continental cold high moved eastward to the sea.