1. Introduction
The mei-yu (also known as changma in Korea and baiu in Japan) is a quasi-stationary rain belt extending from central eastern China to Japan, establishing around mid-June and disappearing around mid-July. The dynamics of the mei-yu are intimately tied to the westerlies impinging on the Tibetan Plateau. In particular, the synchronous relationship between the latitudinal position of westerlies over the Tibetan Plateau and the spatial pattern of the East Asian summer rain belt has long been recognized (Liang and Wang 1998; Molnar et al. 2010; Murakami 1951; Schiemann et al. 2009; Staff Members 1958; Yeh et al. 1959). For example, Schiemann et al. (2009) note that the westerly jet migrates onto the Tibetan Plateau in May, corresponding to the pre-mei-yu in southeastern China; the westerly jet reaches the northern edge of the plateau in June, timed to the mei-yu over central eastern China; as the jet migrates well north of the plateau in July–August, midsummer occurs and brings more rainfall over northeastern China. Decreased summer rains over the Yangtze River Valley—the region dominated by the mei-yu—have been argued to be associated with the poleward displacement of westerlies in East Asia, and vice versa (e.g., Li and Zhang 2014). Recent studies further suggest that the meridional positioning of the Asian westerly jet relative to the Tibetan Plateau controls the timing and duration of the mei-yu in both past (Chiang et al. 2015; Kong et al. 2017) and present (Chiang et al. 2017) climates.
A variety of mechanisms have been proposed for how the westerlies modulate the mei-yu. Japanese meteorologists noted that the demise of the baiu is associated with the establishment of an anticyclone over Japan around August, the latter being part of an eastward propagating wave train—the so-called Silk Road pattern (Enomoto et al. 2003). Subsequent studies suggest that the interannual variation of the East Asian summer monsoon (EASM) is closely associated with the Silk Road pattern (Hsu and Lin 2007; Kosaka et al. 2011). Li and Lu (2017) suggest that increased precipitation in the Yangtze River basin is linked to northeasterly anomalies to the north of the region. They argue that the northeasterly anomaly in the lower troposphere is associated with the cyclonic anomaly over East Asia in the upper troposphere, and that the latter is induced by the Silk Road pattern along the westerly jet. In fact, behavior of the Silk Road pattern is closely linked to the meridional position of Asian westerlies (Hong and Lu 2016; Hong et al. 2018). For instance, Hong and Lu (2016) suggest that when the jet is displaced southward, the Silk Road pattern tends to present as cyclonic anomalies over East Asia, and vice versa. Hong et al. (2018) further demonstrate that the Silk Road pattern is more pronounced when the jet is located to north of the Tibetan Plateau. Taken together, these studies suggest that westerlies might affect the mei-yu through modulating the variation of the Silk Road pattern.
On the other hand, precipitation over central eastern China during the mei-yu exhibits strong correlation with ascending motion and horizontal warm advection in the midtroposphere (e.g., Sampe and Xie 2010). This strong correlation led Sampe and Xie (2010) to conclude that the westerly jet anchors the mei-yu rainband via the advection of warm air from the southeastern flank of the Tibetan Plateau, which is then lifted upward over East Asia, thereby inducing convection. This argument attributes the demise of the mei-yu to the northward migration of the jet away from the maximum midtropospheric temperature center; this interpretation is further supported by studies on variations of East Asian summer rainfall at interannual time scales (Kosaka et al. 2011).
A different view of the role of the westerlies on the mei-yu was postulated by Molnar et al. (2010). They focus on the effect of the westerlies impinging on the Tibetan Plateau in altering the downstream circulation, specifically producing a locus of moisture convergence that defines the mei-yu rainband. In this view, the demise of the mei-yu rainband is dynamically tied to the northward seasonal migration of the westerlies from south to north of the plateau: when the core of the westerlies migrates off the plateau, the mechanical forcing of the plateau disappears, and so does the mei-yu rainband. From an energetic and moisture budget perspective, Chen and Bordoni (2014) argued that the extratropical northerlies downstream of the Tibetan Plateau are crucial in maintaining the mei-yu front via advecting dry enthalpy and strengthening the moisture convergence over central eastern China.
The above studies suggested different processes for how the westerlies affect the mei-yu. Although the origins of these mechanisms are independent, they consistently indicate the meridional position of the westerly jet relative to the Tibetan Plateau is key to formation and maintenance of the mei-yu. However, how this dynamically relates to the demise of the mei-yu has not been examined in detail; this is the focus of this paper.1 Furthermore, since the termination of the mei-yu is abrupt, it raises the question of whether a latitude threshold in terms of jet position exists over the plateau that triggers the mei-yu termination. A recent modeling study on seasonal transitions of the jet and of the EASM during the Holocene suggests exactly this (Kong et al. 2017). In that study, the maximum in the 200-mb (1 mb = 1 hPa) westerly jet over the Tibetan Plateau (80°–100°E) was found to be located at 40°N during the mei-yu onset, and the jet axis migrates northward by 1° or 2° when the mei-yu ends. Notably, 40°N is the latitude where the mean plateau elevation across 80°E–100°E drops below 1.5 km, marking the northern edge of the plateau. It suggests that 40°N acts as this threshold, and mei-yu ends when the jet core migrates to north of 40°N.
In this study, we confirm previous findings (Kong et al. 2017) that the termination of the mei-yu indeed coincides with the maximum upper tropospheric westerlies over the Tibetan Plateau shifting north of 40°N. We also find that these changes are accompanied with disappearance of tropospheric northerlies over northeastern China (35°–40°N). We show that these concurrent behaviors hold from climatology to interannual and synoptic time scales, which motivate us to hypothesize that migration of the jet impinging over the plateau to north of 40°N causes the weakening of orographic downstream northerlies, and that this weakening in northerlies over central-northeastern China acts to terminate the mei-yu.
Mountains have long been held to be important in shaping the circulation and climate in the Northern Hemisphere midlatitudes (Bolin 1950; Broccoli and Manabe 1992; Manabe and Terpstra 1974). Model simulations have suggested that the presence of the orography over Asia is essential for the existence of the Asian monsoon (Hahn and Manabe 1975; Kitoh 2004; Park et al. 2012; Wong et al. 2018; Wu et al. 2012). A widely held view is that elevated sensible heating over the Tibetan Plateau drives the EASM (Flohn 1957; Li and Yanai 1996; Wu et al. 2012; Yeh et al. 1959). However, this view is challenged by studies that emphasized the role of the mechanical influence of the Tibetan Plateau on its surrounding circulations (e.g., Molnar et al. 2010; Park et al. 2012; Staff Members 1958).
In this study, we argue that topographically forced stationary waves provide a potential dynamical link between the westerlies impinging on the Tibetan Plateau and the downstream northerly response. In the midlatitudes, the linear response of the atmosphere to orographic forcing shows equatorward propagation of the stationary Rossby wave and the generation of low-level cyclonic motion downstream of the mountain (Cook and Held 1992; Held 1983; Hoskins and Karoly 1981). Following these studies, we attribute variations of northerlies over northeastern China to changes in the strength of the cyclonic circulation downstream of the plateau. We argue that migration of the jet to the north of the plateau weakens the orographic forcing and thus weakens the cyclonic circulation, leading to weakening and even disappearance of the northerlies.
We describe the data, methodology, and experiments in the next section. In section 3, we show how the climatological mean atmospheric circulation changes during the mei-yu termination. We then examine the variation of the mei-yu termination at interannual time scales and mei-yu-like rainfall patterns at synoptic scales in section 4. We explore how weakening of northerlies over central-northern eastern China affects the mei-yu termination in section 5. In section 6, we propose a hypothesis on the mei-yu termination and employ idealized simulations to test the response of northerlies and mei-yu termination to changes in the orographic forcing by perturbing the northern edge of the Tibetan Plateau. We then use the dry dynamical core of a general circulation model (GCM) to explore the change to the orographic downstream northerlies as the location of westerlies changes from south to north of the plateau (section 7). We close the paper with summaries in section 8.
2. Data, methods, and experiments
a. Data
We use winds, geopotential height, temperature, and specific humidity from the European Centre for Medium-Range Weather Forecasts (ECMWF) interim reanalysis (ERA-Interim) products (Dee et al. 2011), spanning the 29-yr period from 1979 to 2007. Daily fields are obtained by averaging the 6-hourly products mapped onto a 1° × 1° grid on the standard pressure levels.
As with Kong et al. (2017), we use the APHRO_MA_025deg_V1003R1 product from the APHRODITE rain gauge data (Yatagai et al. 2009) to present summer rainfall in East Asia. We focus on the period of 1979–2007 for consistency with the ERA-Interim dataset.
b. Self-organizing maps
Following Chiang et al. (2017) and Kong et al. (2017), we use self-organizing maps (SOMs) (Kohonen 2001; Kohonen et al. 1996) to objectively extract the seasonal EASM rainfall stages and identify the termination of the mei-yu. The SOM is a neural network–based cluster analysis that classifies a high-dimensional dataset into representative patterns (Kohonen 2001; Kohonen et al. 1996). This method has been applied successfully to extract patterns of El Niño–Southern Oscillation (Johnson 2013) and the Northern and Southern Hemisphere teleconnections (Chang and Johnson 2015; Johnson et al. 2008). It has also been used on the intraseasonal oscillation of the Indian summer monsoon (Chattopadhyay et al. 2008) and the East Asian–western North Pacific summer monsoon (Chu et al. 2012).
The SOM analysis of the APHRODITE daily climatology used in this study is similar to that in Kong et al. (2017), to which the readers are referred for details. This study differs from Kong et al. (2017) in that we focus on a shorter period covering 1979–2007 and that we use the 9-day running mean [instead of the 5-day mean as in Kong et al. (2017)] of daily climatology for the SOM analysis.
c. Definition of jet position
We quantify the position of the westerly jet over the plateau based on its axis at 200 mb. We first zonally average the zonal wind at 200 mb between 80° and 100°E, overlapping with the main body of the Tibetan Plateau. We then identify the location of the maximum zonal wind between 20° and 50°N as the jet axis impinging on the plateau. We restrict the search latitudes to 20°–50°N in order to exclude the potential identification of the polar front jet at higher latitudes.
d. Model experiments
We use the National Center for Atmospheric Research’s (NCAR) Community Earth System Model (CESM) version 1.2.2 (Hurrell et al. 2013). Previous work (Chiang et al. 2015; Kong et al. 2017) shows that this model simulates the seasonality of the EASM with fidelity. We design two sets of experiments: 1) testing the behavior of the mei-yu under “northward-extended plateau” scenarios, and 2) testing responses of orographic downstream northerlies by perturbing relative positioning of westerlies to the plateau in idealized simulations with a dry dynamical core.
For the northward-extended plateau simulations (section 7), we use the F_1850_CAM5 component set (Vertenstein et al. 2011), which includes the coupler, active atmosphere, land, and ice components, and a data ocean model with fixed sea surface temperature (SST). The atmospheric component of the CESM1 is the Community Atmosphere Model version 5 (CAM5) (Neale et al. 2010) at 0.9° × 1.25° horizontal resolution and with 30 vertical layers. We conduct four simulations, namely, Plateau_control, Plateau_3deg, Plateau_6deg, and Plateau_10deg. The only difference among these simulations is the meridional dimension of the Tibetan Plateau. Plateau_3deg, Plateau_6deg, and Plateau_10deg represent scenarios where the northern edge of the plateau is extended northward by 3°, 6°, and 10°, respectively. To generate topography files for these simulations, we first modify a global elevation dataset mapped onto the model grid (0.9° × 1.25°), which is obtained from NCAR’s supercomputer. We then use the NCAR Global Model Topography Generation Software (Lauritzen et al. 2015) to smooth the modified topography files.
Figure A1 (see the appendix) shows the boundary topography in East Asia for these simulations. We take the Plateau_3deg run as an example to describe how we extended the northern edge of the Tibetan Plateau. We first target the region 35°–55°N, 60°–110°E (simply called the “source region” hereafter), as highlighted by the black box in Fig. A1a. We then shift the elevation in this region northward by 3°, replacing the elevation in the region 38°–58°N, 60°–110°E (the black box in Fig. A1b) with the elevation of the source region. By doing so, we leave a topographic gap in the middle of the plateau, as indicated by the dashed box in Fig. A1b. We fill the gap with the elevation of today’s Tibetan Plateau around that latitude. Figures A1e–h present the vertical cross sections of modified elevation in the plateau region.
The greenhouse gas (GHG) concentrations are set to default values as in the CESM preindustrial configuration (i.e., CO2 is 284.7 ppm, CH4 is 791.6 ppb, and N2O is 275.68 ppb). The prescribed SST dataset is derived from the merged Hadley optimum interpolation (OI) SST and sea ice concentration (SIC) dataset (Hurrell et al. 2008). Each experiment is integrated for 25 years, with the first 5 years discarded to avoid model drift; the climatology derived over the last 20 years is used for the analysis presented here.
For the idealized simulations (section 8), we use the F_IDEAL_PHYS component, that is, the finite volume dynamical core of CAM5, which is based on the model described by Held and Suarez (1994). This idealized physics configuration is hemispheric and zonally symmetric, with neither a seasonal cycle nor land–sea contrast. It employs a Newtonian relaxation toward a prescribed zonal mean radiative equilibrium temperature profile to represent radiative cooling, with a relaxation time scale of 40 days. There is neither moisture nor diabatic heating in the dry dynamical core, which allows us to neglect the possible effects of the sensible heating and condensational heating on the atmospheric circulation. We introduce the Tibetan Plateau in the model by setting the surface geopotential over 25°–45°N, 60°–105°E to today’s value. To obtain a relatively localized plateau, elevations lower than 500 m in the region are set to zero. We shift the plateau meridionally to perturb relative positioning between westerlies and orography; by doing so, we mimic the seasonal migration of the westerly jet across the plateau. We undertake five simulations, namely Plateau, PlateauN3, PlateauN6, PlateauS3, and PlateauS6. The “Plateau” simulation is the case where the Tibetan Plateau is fixed at its present location, while the other cases represent scenarios where the plateau is shifted northward or southward by 3° or 6°. Each simulation is integrated for 5 years, with 30 levels in the vertical, at a horizontal resolution of 0.9° × 1.25° (as with the northward-extended plateau simulations). An initial spinup period of 2 years is discarded, leaving 3 years of data for analysis.
For the boundary orography in the CAM5, the resolved grid scale component is the mean elevation in each grid box (i.e., the surface geopotential). The unresolved subgrid-scale orography is parameterized as the turbulent mountain stress (TMS) and the gravity wave drag (GWD) (Neale et al. 2010). In our simulations with both modified resolved and modified subgrid topography, the subgrid-scale variances needed for TMS and GWD parameterizations were derived from the modified resolved topography (e.g., Fig. A1) using the NCAR Global Model Topography Generation Software (Lauritzen et al. 2015). Thus, the subgrid-scale variances are modified to be consistent with the modified resolved topography.
3. Termination of mei-yu in climatology
In this section, we show that the mei-yu termination in observed climatology is accompanied by the migration of core westerlies impinging on the Tibetan Plateau to the north of 40°N and the disappearance of northerlies in northeastern China (35°–45°N, 110°–120°E).
a. Identification of the mei-yu termination in climatology
Figure 1g presents the temporal evolution of the climatological precipitation over eastern China (110°–120°E), with dashed lines indicating timings of the rainfall stages derived from the SOMs analysis of the APHRODITE data (Fig. 1a). Figure 1a shows the temporal extent of each of the five rainfall patterns illustrated in the remaining panels, namely spring (pattern 1; Fig. 1b), pre-mei-yu (pattern 2; Fig. 1c), mei-yu (pattern 3; Fig. 1d), midsummer (pattern 4; Fig. 1e), and fall (pattern 5; Fig. 1f). Observational studies (Ding and Chan 2005; Tao and Chen 1987) suggest that the typical mei-yu season lasts from mid-June to mid-July. The SOM-captured timing of the mei-yu spans the interval from 23 June to 20 July, approximately matching this reported timing. For spatial patterns, the SOM-derived mei-yu covers the Yangtze River valley (27°–34°N, 100°–120°E), which is consistent with the previously defined domain (Ding and Chan 2005).
The mei-yu front is characterized by a strong meridional moisture gradient (Chen and Chang 1980; Ding 1992) and can be identified from sharp meridional gradients in equivalent potential temperature θe (Ninomiya 1984, 2000; Ninomiya and Shibagaki 2007). Figure 2 shows the meridional gradient of θe [−(∂θe/∂y)]. Here, θe is approximately defined as θe = θ + Lυq/cp (Shaw and Pauluis 2012), and the largest values of −(∂θe/∂y) indicate the location of the front. We interpret the latitudinal migration of the band of strong gradient to indicate the meridional movement of the frontal system. Figure 2a presents the seasonal evolution of −(∂θe/∂y) over East China (110°–120°E) at 850 mb. It shows that the maximum gradient, and hence the front, migrates northward during the mei-yu and disappears by midsummer. Vertical cross sections further show weakening of the front in central eastern China (30°–35°N, 110°–120°E) from mei-yu to midsummer (Figs. 2b,c). Figures 2d and 2e depict the meridional moisture gradient and suggest that the moisture contrast over central eastern China weakens from mei-yu to midsummer.
Strong midtropospheric (500 mb) ascending motion over central eastern China is also thought to be representative for the mei-yu season (Sampe and Xie 2010). Figure 3a shows the ascending motion at 500 mb and suggests that our SOM analysis accurately captured the mei-yu and midsummer stages. Both spatial distribution (Figs. 3b,c) and vertical cross sections (Figs. 3d,e) further indicate significant weakening of the ascending motion over central eastern China from mei-yu to midsummer.
b. Threshold latitude of jet for the mei-yu termination
Figure 4a shows the seasonal migration of 200-mb westerlies averaged over 80°–100°E, where the plus sign (+) symbol indicates the latitude of maximum westerlies. Resembling model results from Kong et al. (2017) but now from observational data, the mean jet axis over the plateau is located at 40°N for most of the mei-yu season (Fig. 4a); it then migrates a few degrees northward during the transition from mei-yu to midsummer and stays at 42° or 43°N for most of midsummer before retreating southward in late August. Figures 4b–e further depict the distinct shift of jet axis over the plateau from 40°N in mei-yu to around 42°N in midsummer. It suggests that 40°N marks a latitudinal threshold for the termination of mei-yu.
c. Changes in orographic downstream northerlies from mei-yu to midsummer
Previous studies suggested that the meridional wind plays an important role in the formation of the mei-yu (Chen and Bordoni 2014; Park et al. 2012). Figures 4f–j show variations of midtropospheric meridional wind from mei-yu to midsummer. During the spring and pre-mei-yu stages, the extratropical northerlies are strong and converge with the tropical southerlies along 30°N over eastern China. The northerlies weaken and retreat to the north of 35°N during the mei-yu stage, while the southerlies become stronger and penetrate northward. During midsummer, the extratropical northerlies almost disappear, while the tropical southerlies penetrate to around 40°N. Similar variation can be seen in the meridional winds at 700 mb (not shown).
4. Termination of the mei-yu on interannual and synoptic time scales
In this section, we seek a more rigorous examination of the link between jet latitude, weakening of northerlies over northeastern China, and termination of the mei-yu on interannual and synoptic time scales.
a. Termination of the mei-yu on interannual time scales
The leading mode of summertime rainfall over East Asia exhibits a tripole pattern with rainfall over northern and southern China varying out of phase with rainfall over central China (Hsu and Lin 2007). Chiang et al. (2017) identified the leading mode of interannual variability of East Asian summer rainfall over 1951–2007 by deriving an empirical orthogonal function (EOF) from July–August APHRODITE rain gauge data (Fig. A2). They attributed one phase of the tripole pattern—with wet northern and southern China and dry central China—to a significantly earlier termination of the mei-yu, accompanied by a shorter mei-yu duration and longer midsummer stage. They found that the years with earlier mei-yu termination are associated with earlier northward migration of westerlies over the Tibetan Plateau.
Here, we examine the linkage between the jet positioning, strength of northerlies, and the mei-yu in the context of the interannual variation of mei-yu termination. We select anomalous high and low years based on the first principal component of Chiang et al. (2017) (Fig. A2b), but limited to 1979–2007, which is the time span of the ERA-Interim data we use. We identify 7 high years and 9 low years based on the principal component exceeding ±0.5 standard deviations. For each group of years, we compute the daily climatological rainfall between April and September, and applied a 9-day running average. To find the corresponding rainfall stages, we assign the averaged rainfall for each day to a best-matching climatological SOM rainfall pattern (Figs. 1b–f) based on the minimum Euclidean distance between each daily pattern and each of the SOM patterns. Similar to Chiang et al. (2017), the matched timing for high and low years suggests that the mei-yu in low years terminates three weeks later than in high years (Figs. 5a,b).
Hovmöller diagrams of the meridional gradient of θe (Figs. 5c,d) and midtropospheric ascending motion (Figs. 5e,f) suggest that the mei-yu stages identified by the SOM analysis are reliable for both categories. Mei-yu stages of both high and low years are accompanied by sharp gradients of θe over central eastern China; termination of the mei-yu is accompanied by weakening of the gradient of θe and northward migration of the maximum gradient to north of 35°N, which is however more evident in the lower years than the high years. Similarly, both high and low years exhibit significant weakening of midtropospheric ascending motion over central eastern China when the mei-yu ends (Figs. 5e,f).
The associated behaviors of the jet latitude over the plateau and northerlies over eastern China for both composites are consistent with the climatology. The main feature to note is that the jet axis remains at 40°N during the mei-yu stage for both high and low years; this is despite the fact that the mei-yu stage has significantly longer duration in low years compared to the high years. Prior to the mei-yu, the jet axis is south of 40°N in both cases; after the mei-yu, the jet axis shifts north of 40°N (Figs. 5g,h). On the other hand, a weakening and retreat of the northerlies, and increased northward penetration of southerlies, appears at the transition from mei-yu to midsummer for both high and low years (Figs. 5i,j). It is worth noting that the southward retreat of westerlies toward the end of the summer monsoonal season is accompanied by a recurrence of northerlies in northeastern China, suggesting a causal link between the jet axis position relative to 40°N and the sign and strength of northerlies downstream of the plateau.
b. Termination of the mei-yu on synoptic time scales
Although the climatological westerlies exhibit a continuous northward migration from spring to summer (Figs. 4a and 5g,h), on synoptic time scales the jet exhibits large and rapid latitudinal excursions (Schiemann et al. 2009). This observation raises the question of whether the connection between the jet position, strength of northerlies, and occurrence of mei-yu-like regimes holds on synoptic time scales.
To test this, we assign each pentad from 1 April (pentad 19) to 27 September (pentad 54) for each year over 1979–2007 (a total of 1044 pentads) to the best-matched climatological SOM rainfall pattern based on the minimum Euclidean distance. This allows us to identify mei-yu-like pentads and to examine the associated circulations. In contrast to the smooth climatological timing of each pattern (red lines in Fig. 6a), the SOM-matched patterns on the pentad basis from each year exhibit large variations (blue lines in Fig. 6a). Figure 6b shows the seasonal distribution of the assigned SOM patterns of the 1044 pentads. Specifically for the mei-yu pattern, Fig. 6b suggests that mei-yu-like rainfall regimes could occur in spring or late summer, but are relatively rare at these times. Mid-June to mid-July is the period when the mei-yu-like rain pattern most likely occurs.
We now discuss distributions of the jet axis impinging on the plateau (Fig. 6c) and strength of meridional winds over northeastern China (Fig. 6d). On the pentad scale, mei-yu-like patterns are most closely associated with jet axes ranging from 38° to 41°N, whereas midsummer-like pentads are associated with jet axes between 40° and 43°N. For the strength of the 500-mb meridional wind over northeastern China, Fig. 6d suggests that northerly winds (negative values) are strongest when the rainfall is spring-like or pre-mei-yu-like; the northerlies tend to be weaker for mei-yu-like patterns. For midsummer-like patterns, the 500-mb meridional winds are both northerly and southerly, with a preference for the latter. These findings suggest that the synoptic relationships between the jet positions, the strength of northerlies, and the rainfall stage are in general agreement with the ones inferred from the climatology.
We now examine the question from the opposite perspective. If we classify all 1044 pentads based instead on their positioning of the jet axis over the plateau, can we see weaker orographic downstream northerlies and midsummer-like rain patterns during pentads when the jet axis locates to the north of 40°N, and vice versa? Figure 6e—which shows the jet latitude between April and September for each year from 1979 to 2007—indicates that jet latitude exhibits large synoptic variability about the climatological migration latitude (shown in red). There are overlaps in the jet latitudes between the mei-yu-like pentads and the midsummer-like pentads when the jet latitude is associated with the corresponding rainfall stage (Fig. 6f; note that Fig. 6f is identical to Fig. 6c, although they are generated based on different approaches), suggesting that the correlation between the position of the jet and the mei-yu/midsummer regimes is not as tight as that on climatological (Fig. 4) and interannual time scales (Fig. 5). Regardless, the close synoptic relationship between the two is evident, namely that when the jet axis is between 38° and 41°N, the corresponding rainfall patterns are mei-yu-like, whereas jet axes occupying the interval bounded by 40° and 43°N are midsummer-like. Likewise, when the jet latitude is associated with the corresponding value of the 500-mb meridional wind, northeastern China more likely experiences northerlies when jet axes are south of 40°N, whereas southerlies more likely appear in the region when the jet is north of 40°N (Fig. 6g).
Composites of pentads when the jet axis is located at 37°, 40°, and 43°N are shown in Fig. 7. These composites confirm that the northerlies over northeastern China significantly weaken as the jet migrates from positions over the plateau to north of the plateau (Figs. 7a–f). The weakening of the meridional gradient of θe (Figs. 7g–i) and ascending motion (not shown) are all paced with the weakening of the northerlies. Finally, the pattern of rainfall extends northward with a more northward mean jet axis (Figs. 7j–l).
5. Connections between northerlies and mei-yu termination
In this section, we explore the dynamical connection between the disappearance of lower-to-midtropospheric northerlies and the mei-yu termination.
a. General discussion
One view of how the northerlies maintain the mei-yu is that they advect cold, dry air southward, meeting with the warm, moist southerly flow and forming a steep moisture gradient over central China characteristic of the mei-yu front. The northerlies essentially disappear when the mei-yu ends, leading to the demise of the strong moisture contrast (Fig. 2). This view is in agreement with previous findings on the close connection between the mei-yu and cold air mass associated with northerlies (Li and Zhang 2014; Seo et al. 2015; Tomita et al. 2011). Park et al. (2012) found that the mei-yu is associated with southward low moist static energy (MSE) flux (integrated from the surface to 600 mb) over northeastern China and northward high MSE flux over southeastern China. In this vein, the mei-yu terminates when the southward low MSE air disappears with northerlies. Chou and Neelin (2003) argued that advection of low MSE air over the northern reaches of monsoon regions limits the northward extent of summer monsoons, through the so-called ventilation effect. In a similar vein, the advection of low MSE air by the northerly flow limits the northward extent of the rainfall over eastern China (Figs. 8a–c); as such, rainfall shifts to northeastern China in midsummer as the northerly flow retreats.
The northerlies are also crucial for the mei-yu formation through maintaining strong meridional wind convergence. Simulations with and without the Tibetan Plateau by Chen and Bordoni (2014) suggest that the presence of the Tibetan Plateau and the resultant orographic downstream meridional wind convergence is key to the formation of mei-yu. Figures 8d–f show that meridional wind convergence over central eastern China is indeed considerably stronger in the mei-yu than in midsummer. It is worth noting that seasonal variation of meridional wind convergence over central eastern China (Fig. 8d) resembles the rainfall seasonality (Fig. 1g), indicating close connection between the two. As will be shown in the next section 5b, weakening of the meridional wind convergence dominates the reduction of moisture flux convergence associated with mei-yu termination.
b. Moisture budget analysis
Figures 9a–e shows terms A–E of Eq. (4), respectively, for the difference between the mei-yu and midsummer averages, in order to examine changes occurring to the components of the moisture flux budget between these intraseasonal stages. Not surprisingly, the mei-yu season exhibits enhanced moisture transport and moisture flux convergence over central eastern China (Fig. 9a). This enhancement is dominated by changes of horizontal winds (Fig. 9c), while the contribution by changes of specific humidity is minimal (Fig. 9b). Contributions by the cross-perturbation term (Fig. 9d) and the submonthly transient eddies (Fig. 9e) are negligible. Decomposing contributions by the horizontal winds (Fig. 9c) to its zonal (Fig. 9f) and meridional components (Fig. 9g) indicates that changes in the meridional wind are essential to changes of the total moisture flux convergence. Contributions by the meridional winds could be further decomposed as follows: −(∂/∂y)(δυq) = −(∂δυ/∂y)q − δυ(∂q/∂y), where −(∂δυ/∂y)q is contribution by changes in meridional wind convergence, while −δυ(∂q/∂y) is the contribution by changes in the meridional advection of moisture. Figures 9h and 9i indicate that although both terms positively contribute to the moisture flux convergence, changes of meridional wind convergence play the dominant role.
We repeat the above analysis but in the context of the tripole mode of East Asian rainfall interannual variability, using again the high and low year composites defined in section 4; we refer to changes (δ) as low years minus high years. We focus on the gap in the timings of mei-yu termination between high and low years (i.e., 3–23 July). During this period, high years are already in the midsummer stage, while low years are still in mei-yu. The results (Fig. 10) show strong qualitative similarity to the analysis of Fig. 9 for the difference between mei-yu and midsummer stages, and reinforce the conclusions drawn from Fig. 9. Figure 10a shows enhanced moisture flux convergence over central China in low years relative to high years. The resemblance among Figs. 10a, 10c, 10g, and 10h highlight the crucial role of meridional wind convergence in changes of total moisture flux convergence during the period when high years are in midsummer while low years are still in mei-yu.
c. Relative contributions from northerlies and southerlies
The moisture budget analysis above clearly shows the central role of meridional wind changes in mei-yu termination. We have focused on the role of the extratropical northerlies, but one might argue that variations of the southerlies also contribute to the mei-yu termination. On average, southerlies over eastern China are indeed weaker in midsummer, although this weakening is mainly limited to south of 30°N (Figs. 4g–j). Figure 9g also suggests the southerly moisture flux dominates contribution to the enhanced moisture flux convergence in mei-yu. However, the moisture budget analysis is diagnostic, so the southerlies can be, in part, interpreted as a feedback. In particular, diabatic heating from the mei-yu rainband and consequent vortex stretching will lead to a southerly flow because of Sverdrup vorticity balance (Rodwell and Hoskins 2001). Furthermore, Fig. 4f shows that the most striking change in the meridional circulation associated with the mei-yu termination is disappearance of extratropical northerlies and northward penetration of southerlies. It suggests that weakening of the northerlies is the root cause of the transition from mei-yu to midsummer.
On shorter time scales, Fig. 10 suggests stronger and more persistent southward moisture flux, associated with enhanced northerlies, dominates the enhanced moisture flux convergence in low years during 3–23 July. Further, our composites of meridional wind at pentads with different jet positions clearly show the weakening of extratropical northerlies when the jet is located north of the plateau (Figs. 7d–f). However, there is no evident change in the strength of tropical southerlies among these composites.
We note in closing that relative roles of tropical southerlies and extratropical northerlies are still in debate. A recent idealized study by Son et al. (2019) suggests that orographic downstream southerlies are most crucial for the EASM. Tomita et al. (2011) and Suzuki and Hoskins (2009) suggest that the closing dates of baiu (the Japanese sector of the mei-yu–baiu rain belt) could be modified by the combined effects of both tropical and midlatitude circulations.
6. Termination of the mei-yu with a northward-extended Tibetan Plateau
Based on the various lines of evidence presented in sections 3–5, we propose this hypothesis on the mei-yu termination: the weakening and eventual disappearance of the northerlies over northeastern China leads to the demise of the mei-yu, and this weakening is a direct consequence of the northward shift of westerlies beyond the northern edge of the plateau, around 40°N. We speculate that the reduced orographic forcing on the westerlies during the northward jet transition causes the weakening of the orographic downstream northerlies.
To test this hypothesis, we artificially perturb the orographic forcing of the Tibetan Plateau by changing the latitude of the northernmost edge of the plateau in the Community Atmosphere Model version 5 (CAM5). The expectation here is that with a more northward-extended plateau, mechanical forcing of the plateau on the westerlies should strengthen; by our hypothesis, northerlies downstream of the plateau should stay strong and mei-yu-like conditions persist as a result.
Figures 11a–d present the simulated seasonal evolution of 200-mb zonal wind over the plateau. With the presence of more northward-extended plateau, the westerlies impinging over the plateau are able to migrate to higher latitudes while the strength of the westerlies becomes weaker. In agreement with observations (Fig. 4f), tropospheric northerlies over northeastern China disappear from late June to late August in the Plateau_control run (Fig. 11e). Note that the simulated disappearance of northerlies occurs earlier (late June) than the observations (late July as suggested in Fig. 4f), indicating some model bias. Our hypothesis predicts stronger and more persistent northerlies downstream of the plateau as orographic forcing strengthens. When the plateau extends northward by 3° and 6°, downstream northerlies indeed persist longer, with the disappearance of northerlies occurring over a shorter time period (Figs. 11f,g). When the plateau extends northward by 10°, northerlies prevail over northeastern China throughout the summer season, though weakening of northerlies is still notable from late June to August (Fig. 11h).
Given the intensified northerlies (Figs. 11e–h) and meridional convergence (not shown), does the mei-yu front persist for longer duration in wider plateau scenarios? Note that due to the changed dimension of the plateau, the geographic location of the mei-yu in wider plateau cases may differ from the typical mei-yu in the present day. We thus identify the mei-yu front based on its expressed physical characteristics (i.e., sharp meridional gradients in θe). Compared with the control run, the meridional gradient of θe becomes stronger from April through June over central eastern China when the plateau extends northward by 6° and 10° (Figs. 11i–l). The relatively weak gradient of θe in the Plateau_3deg case is consistent with disappearance of northerlies in mid- to late June (Figs. 11f,j). In July, southerlies occupy central to northeastern China in the control run, while northerlies prevail over the region in the wider plateau scenarios. As a result, Figs. 11i–l show that the July meridional gradient of θe is more pronounced over northeastern China (40°–45°N, 110°–120°E) in the wider plateau scenarios than in the control run. This suggests that the wider plateau cases are able to maintain the mei-yu-like front over northeastern China in July.
Additionally, summer rainfall over East Asia could be partitioned into “banded” rainfall, which is associated with large-scale frontal convergence, and “local” rainfall, which is possibly driven by local buoyancy or topography (Day et al. 2018). Day et al. (2018) suggest that banded rainfall constitutes the majority of precipitation during pre-mei-yu and mei-yu, while midsummer is mainly characterized by sporadic local rainfall. We view the existence of banded large-scale rainfall as an indicator of mei-yu-like rainfall. Therefore, we expect more pronounced mei-yu-like rainbands over northeastern China in July in the wider plateau simulations. To estimate the amount of banded rainfall, we examine the large-scale rainfall from the model output.2 When northerlies over northeastern China are stronger and more persistent, large-scale rainfall over eastern China should be intensified as well. Figures 11m–p and 11q–t show the spatial distribution of large-scale rainfall in June and July, respectively. The leftmost panel suggests that the banded structure of rainfall in the control run is pronounced in June but disappears in July. In contrast, the rainbands remain in the wider plateau cases in July, though with weaker magnitude and more northward location.
One caveat to the “northward extended plateau” simulations is that it is difficult to exclude the potential role of diabatic heating over the plateau on the changes in the circulation and rainfall over East Asia (e.g., Li and Yanai 1996; Wu et al. 2012). Future studies are required to fully understand the relative contribution of the mechanical and thermal forcing of the Tibetan Plateau on the evolution of the EASM.
7. Response of downstream northerlies to the positioning of the jet in a dry dynamical core simulation
In this section, we use the dry dynamical core from CAM5 to further show that the downstream northerlies can originate from mechanical forcing on the westerlies by the Tibetan Plateau, and that the northerlies disappear when the westerlies impinging on the plateau shift sufficiently northward of it. The idealized physics of the dry dynamical core (see section 2d) allows us to neglect possible effects of moisture feedbacks and diabatic heating on the westerlies. We relax the model to the same equilibrium radiative temperature profile in all cases, and perturb the relative positioning between westerlies and the plateau by shifting the plateau meridionally in order to mimic the northward seasonal migration of the westerlies.
a. Results
Figure 12 shows the zonal winds and meridional winds from the idealized simulations. When the plateau is shifted northward by 6° (PlateauN6; Figs. 12a,k), the configuration of westerlies around the plateau resembles spring in observations, with a much stronger southern branch of westerly wind to the south of the plateau compared with its counterpart to the north. In contrast to PlateauN6, the southern branch of westerlies in the PlateauN3 scenario is weaker, while the northern branch is stronger (Figs. 12b,l). The northern branch becomes further pronounced when the plateau is at the modern-day location (Figs. 12c,m). The westerlies are well north of the topography when the plateau is shifted to the south (Figs. 12d,e,n,o). In short, these scenarios mimic the northward seasonal migration of westerlies relative to the Tibetan Plateau from spring to summer. The responses of orographic downstream northerlies to perturbations of relative positioning between westerlies and the plateau are not clear-cut monotonic (Figs. 12f–j, p–t). However, the simulations demonstrate that the orographic downstream northerlies exhibit general weakening as location of westerlies changes from south of the plateau to north (Figs. 12f–j, p–t). It is also worth noting that the downstream southerlies strengthen as the core of the westerlies shifts from being south of the plateau to north of it (Figs. 12f–j, p–t).
b. Mechanism revealed in the dry dynamical core simulations
The low eddy geopotential height anomaly at 500 mb to the east of the orography appears to be a dynamical consequence of the orographic forcing on the atmosphere (Bolin 1950; Charney and Eliassen 1949; Held 1983) (the eddy geopotential height is defined as the geopotential height with the global zonal mean of geopotential height subtracted). We use the variation of eddy geopotential height at 500 mb downstream of the plateau as an indicator of changes in orographically forced stationary waves. In our idealized simulations, the simulations Plateau to PlateauS6 are the closest analogs to the seasonal shift of the jet to the north of 40°N in the real world, showing a weakening of orographic downstream northerlies from the former to the latter (Fig. 12). We show the eddy geopotential height at 500 mb from these simulations in Figs. 13a–c. Weakening of the orographic downstream cyclonic circulation from Plateau to PlateauS6 is evident, suggesting that the weakening of the mechanical forcing by the plateau as the jet shifts northward is the primary cause of the weakening of northerlies.
Lutsko and Held (2016) examined the transition from zonal to meridional propagation of orographically induced stationary waves by varying the height of the orography. They found that the stationary wave response is meridionally trapped, zonally propagating for weaker orographic forcing (i.e., lower orography altitude). When the forcing is increased, the wave propagates more meridionally and more into the tropics. We find similar behavior in our simulations. When the westerlies are impinging on the plateau, the orographic downstream stationary waves propagate equatorward. As the plateau is moved to the south, the orographic forcing weakens and the propagation of the stationary waves becomes more zonal. Figures 13d–f present the quasigeostrophic eddy streamfunction and the horizontal Eliassen–Palm (EP) flux [Plumb 1985, Eq. (5.7) therein] at 250 mb. Following Lutsko and Held (2016), we show the ratio of the meridional component to the zonal component of the EP flux at 250 mb averaged over 25°–45°N, 100°–150°E (highlighted with green dashed lines in Figs. 13d–f) in Fig. 13g. As positioning of the westerlies changes from south of the plateau to the north, the direction of the horizontal wave propagation downstream of the plateau becomes more zonal, and the eddy streamfunction weakens (Figs. 13d–f), further indicating reduced orographic forcing as the jet shifts to north of the plateau.
Taken together, when the westerlies shift to the north of the plateau, orographic forcing on the westerlies weakens, leading to reduced cyclonic circulation downstream of the plateau. Weakening of the cyclonic circulation in turn weakens the northerlies downstream of the topography.
c. Weakening of the downstream cyclonic circulation in observations
Now we discuss to what extent the mechanism revealed in the dry dynamical core simulations is seen in the observed mei-yu termination. Resembling the dry dynamical core runs (Figs. 13a–c), Fig. 14 shows weakening of the cyclonic circulation over northeastern China from mei-yu to midsummer. Figure 15 shows Hovmöller diagrams of eddy geopotential height Z′ at 200 and 500 mb averaged over 110°–150°E (denoted by dashed lines in Fig. 14) for climatology of 1979–2007 (Figs. 15a,d), and for composites of high years (Figs. 15b,e) and low years (Figs. 15c,f) over 1979–2007. Here, the high and low years are selected based on the PC1 of July–August rainfall over East Asia (Chiang et al. 2017) (see section 4). The eddy geopotential height at 200 mb changes from negative values to positive values during mei-yu termination in all three cases, and indicates a transition from cyclonic to anticyclonic circulation in the upper troposphere (Figs. 15a–c). The anticyclonic circulation exists throughout the midsummer stage, and reverts back to a cyclonic circulation when midsummer ends. In agreement with Fig. 14, the eddy geopotential height at 500 mb also represents an abrupt weakening of the cyclonic circulation (Figs. 15d–f). These results support our interpretation that weakening of the tropospheric cyclonic circulation leads to disappearance of the northerlies.
8. Summary
This study investigates how changes in the meridional position of the westerly jet impinging over the Tibetan Plateau affect termination of the mei-yu stage of the East Asian summer monsoon. Specifically, we ask whether there is a threshold in terms of the jet latitude over the Tibetan Plateau that controls the mei-yu termination.
In agreement with Kong et al. (2017) and Molnar et al. (2010), we show that the mei-yu termination in the climatology is accompanied by the northward migration of the jet axis away from the northern edge of the Tibetan Plateau at 40°N. Concurrently, tropospheric northerlies over northeastern China weaken during the mei-yu and disappear when the mei-yu ends. Further examinations suggest that the close linkage between transit of jet axis beyond the northern edge of the plateau, weakening of downstream northerlies, and mei-yu termination also holds on interannual time scales. As westerlies exhibit large meridional excursions on synoptic time scales, we then examine whether the above connection holds on shorter (i.e., pentad) time scales. We found that the jet axis ranges between 38° to 41°N for mei-yu-like pentads, while midsummer-like pentads are associated with the jet axis between 40° to 43°N. Furthermore, northeastern China (110°–120°E, 35°–40°N) exhibits strong northerly wind during mei-yu-like pentads, while the northerly wind almost disappears among midsummer-like pentads.
We argue that the reduction of the northerlies is causally linked to the demise of mei-yu through the following processes. First, reduction of the northerlies leads to weakening of the meridional contrast of equivalent potential temperature over central China, which is crucial for the maintenance of the mei-yu front (Li and Lu 2017; Park et al. 2012). Furthermore, invoking the “ventilation effect” (Chou and Neelin 2003), strong northerlies over northern China during the mei-yu limit the northward extension of the rainband by southward advection of low MSE air; when northerlies disappear, the ventilation effect is gone and rainfall extends to northeastern China in midsummer. Last, the disappearance of northerlies weakens the meridional wind convergence. Moisture budget analyses show that the significant reduction of total moisture flux convergence over central eastern China from mei-yu to midsummer is mainly due to weakening of meridional wind convergence.
We argue that weakening of orographic downstream northerlies is caused by reduced orographic forcing on the westerlies as the jet migrates beyond the plateau. To test this, we perform idealized simulations with CAM5 where the northern edge of the plateau is artificially extended northward, the idea being that orographic forcing should strengthen and thus the mei-yu should terminate later in such cases. The simulated results support our predictions. With the northern edge of the plateau extended northward, northerlies become more persistent, stronger, and the mei-yu-like (i.e., banded) rainfall regime becomes more pronounced over northeastern China. Several paleoclimate studies suggest that the uplift of the northern Tibetan Plateau intensifies the EASM (Baldwin and Vecchi 2016; Tang et al. 2013; Zhang et al. 2012), which is qualitatively consistent with results from our wider plateau simulations. However, the mechanisms proposed by these studies are different from ours. Zhang et al. (2012) links the intensification of the EASM to westward extension of the western Pacific subtropical high with the uplift of the northern Tibetan Plateau, while Tang et al. (2013) and Baldwin and Vecchi (2016) invoke the thermal effect of the northern plateau on the EASM. Further studies are needed to elucidate how changes in the mechanical forcing of the plateau have contributed to the past evolution of the EASM.
To further explore the mechanical origins of the downstream circulation response to plateau topography, we employ a dry dynamical core with a plateau-like feature embedded in the core of the simulated westerlies. We artificially perturb the relative positioning between westerlies and the plateau by shifting the plateau meridionally. Similar to observations, we found that the orographic downstream northerlies weaken as positioning of the jet relative to the plateau changes from south to north. These simulations highlight the importance of the mechanistic influence of the Tibetan Plateau on the downstream northerlies and hence on the termination of the mei-yu. This is in agreement with the results of Takahashi and Battisti (2007) (see Fig. 7 of Molnar et al. 2010). They successfully simulated a mei-yu-like front in an aquaplanet configuration that excludes the land–ocean thermal contrast and retains the mechanical interplay between the westerly jet and the Tibetan Plateau. We interpret the weakening of the orographic downstream northerlies to reflect changes in the orographically forced stationary waves. As westerlies migrate beyond the plateau, the cyclonic circulation to the east of the plateau weakens. Additional diagnostics show that the quasigeostrophic eddy streamfunction is reduced and the propagation of the orographic downstream stationary waves becomes more zonal. These results suggest weakening of the orographic forcing on the westerlies when the westerlies are north of the plateau. Finally, we examine the observational data to see if the mechanisms inferred from the idealized simulations occur in the observed mei-yu termination. We find that mei-yu termination is indeed accompanied by a weakening of the cyclonic circulation at 500 mb downstream of the plateau, indicating weakening of the orographic forcing.
In short, the above findings suggest that the northern edge of the Tibetan Plateau at 40°N acts as a latitudinal threshold for jet position that triggers the termination of the mei-yu. The northerlies over northeastern China disappear as the jet axis over the plateau migrates north of 40°N, and which in turn shuts off the meridional circulation maintaining the mei-yu front and terminates the mei-yu. This view supports the speculation by Molnar et al. (2010), who argues for the crucial role of the mechanical effects of the Tibetan Plateau on the modulation of mei-yu.
Fundamental questions remain. Here we have only considered the role of the meridional position of the westerlies impinging over the plateau on the termination of the mei-yu. Although the results appear to support our speculation that 40°N is the threshold of jet latitude that terminates the mei-yu, other characteristics of the westerlies could play a role. Recent studies have proposed connections between rainfall over the Yangtze River basin with various characteristics of westerlies, such as the zonal variation of the jet center (Xie et al. 2015), the intensity of the jet (Wang and Zuo 2016), and different configurations of the subtropical jet and polar front jet (Huang et al. 2014; Li and Zhang 2014). Additionally, though this study focuses on the role of the mechanical interaction between the westerlies and the Tibetan Plateau on the termination of the mei-yu, we cannot yet exclude other interpretations such as the influence of midtropospheric warm advection (Kosaka et al. 2011; Kuwano-Yoshida et al. 2013; Sampe and Xie 2010) and the role of surface heating over the Tibetan Plateau on East Asian summer rainfall (Wang et al. 2008; Yanai and Wu 2006). Finally, role of the adjacent ocean on the mei-yu merits further investigations. Recent studies suggest that variation of sea surface temperature over the East China Sea to the northwestern Pacific affect seasonal migration (Gan et al. 2019) and intensity (Kuwano-Yoshida et al. 2013) of the mei-yu–baiu rainband.
Acknowledgments
This work was supported by the National Science Foundation Grant AGS-1405479. The simulations in this study were conducted on the Yellowstone high-performance IBM cluster at NCAR. We thank Dr. Hisashi Nakamura and three anonymous reviewers for their careful reviews and insightful comments. We thank Leif M. Swenson for sharing codes of the SOMs, and Dr. Michael J. Herman for helpful discussions and for his constructive comments and edits on an earlier draft of this paper. WK thanks Dr. Peter H. Lauritzen for his help in the use of the NCAR Global Model Topography Generation Software. APHRODITE precipitation data were obtained from http://www.chikyu.ac.jp/precip/index.html, and we acknowledge the ECMWF for making the ERA-Interim data publicly available (http://apps.ecmwf.int/datasets/data/interim-full-moda/). Boundary topography and model output for the extended plateau simulations and the dry dynamical core simulations are archived and available at https://datadryad.org/stash/dataset/doi:10.6078/D1ZH51. Code for calculations of the three-dimensional Eliassen–Palm flux is obtained from http://www.atmos.rcast.u-tokyo.ac.jp/nishii/programs/index.html. Calculation and visualizations are based on the National Center for Atmospheric Research Command Language (NCL) (version 6.4.0), UCAR/NCAR/CISL/TDD, http://dx.doi.org/10.5065/D6WD3XH5.
APPENDIX
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As mentioned at the beginning of this section, the mei-yu is a more distinct rainfall stage of the EASM compared to midsummer. So we phrase the focus of this paper in terms of termination of the mei-yu, instead of onset of midsummer (or post-mei-yu).
Here, large-scale rainfall is rainfall from large-scale circulation that can be resolved by the model resolution, while convective rainfall is parameterized based on the Zhang–McFarlane scheme (Zhang and McFarlane 1995).