1 Introduction

The climate in Northeast Asia, including the Korean peninsula, China, and Japan, is strongly affected by the East Asian Summer Monsoon system (EASM) known as Baiu in Japan, Changma in Korea, and Meiyu in China (BCM, Hong and Ahn 2015). The strong (weak) EASM is generally accompanied by a strengthened (weakened) western North Pacific subtropical high, resulting in abundant (deficient) rainfall along the subtropical monsoon front during boreal summer (e.g., Huang and Sun 1992; Chang et al. 2000; Lee et al. 2006; Wang et al. 2008a). The variation of the EASM system can cause extreme events such as droughts and floods, leading to regional socio-economic consequences (Zhou et al. 2009; Huang and Wu 1989; Seo et al. 2012).

The interannual variability of the EASM has been researched to be influenced by various factors, such as El Nino–Southern Oscillation (ENSO; e.g., Wang et al. 2000; Wu et al. 2009, 2012; Yun et al. 2010; Kim and Kug 2018), the Indian summer monsoon (Wang et al. 2001), Indian Ocean Sea Surface Temperature (SST; e.g., Yang et al. 2007; Xie et al. 2009; Yun et al. 2010; Park et al. 2018), Okhotsk blocking (e.g., Wu et al. 2009; Park and Ahn 2014), Arctic Oscillation (e.g., Gong and Ho 2003; Gong et al. 2011), and North Atlantic Oscillation (NAO; e.g., Sung et al. 2006; Wu et al. 2009, 2012; Sun and Wang 2012; Zuo et al. 2013; Zheng et al. 2016).

Recently, several studies showed that the EASM is highly correlated with the North Atlantic SST variability from the preceding winter to summer based on observations and model experiments (Wu et al. 2009, 2012; Zuo et al. 2013; Zheng et al. 2016). Wu et al. (2009) established an empirical model to predict the EASM variability by combining two predictors: ENSO and spring NAO. They suggested that NAO-related spring SST anomalies in the North Atlantic can persist throughout summer and induce anomalous anticyclonic circulations over the Ural Mountains and the Okhotsk Sea through downstream development of subpolar teleconnections. The anomalous anticyclonic circulation over the Okhotsk Sea tends to strengthen the subtropical monsoon front. Zuo et al. (2013) also showed that the EASM variability is more closely coupled with the North Atlantic tripolar SST anomalies in the preceding spring than in the simultaneous summer. Similarly, Zheng et al. (2016) found that evolution of the NAO-related SST signal from spring through summer can affect the predictability of the EASM. In addition, the linkage between the summer NAO signal and the East Asian summer rainfall is more evident after the late 1970 s, along with the decadal change of the NAO (Sun and Wang 2012).

Several recent studies have newly suggested that Tropical Atlantic SST (TASST) itself can affect the climate variability in the Northern Hemisphere during subsequent seasons (Sun et al. 2009; Ham et al. 2013a, b, 2017; Ham and Kug 2015). Sun et al. (2009) found that the decadal variability of the tropical Atlantic SST can impact on the Northern Hemispheric atmospheric circulations during summer. Ham et al. (2013a, b) showed that north TASST could trigger a Central-Pacific (CP)-type ENSO (also known as ENSO Modoki; Ashok et al. 2007) during boreal winter. They insisted that warm (cold) TASST anomalies during the preceding spring can induce easterly (westerly) wind anomalies over the western equatorial Pacific in the following months through westward relay of the Atlantic signal. These easterly (westerly) wind anomalies can in turn initiate CP-type El Nino (La Nina) events during the subsequent winter. On the basis of historical Coupled Model Intercomparison Project Phase 3 and Phase 5 (CMIP3 and CMIP5) simulations, Ham and Kug (2015) showed that most state-of-the-art climate models can simulate the observed relationship between spring north TASST and ENSO during the following winter. In addition to the Atlantic SST-ENSO link, Ham et al. (2017) revealed that the TASST variability can also influence the Korean summer precipitation.

Based on these aforementioned studies, TASST generally persists from the preceding spring through the following summer due to the oceanic thermal memory, and its signal can be transmitted to the western Pacific through teleconnections (Wu et al. 2009, 2012; Zuo et al. 2013; Ham et al. 2013a, 2017; Ham and Kug 2015; Zheng et al. 2016). Thus, it is reasonable to expect that late spring TASST may act as a precursor of the summertime climate variability, particularly the EASM. However, most existing studies merely focused on the relationship between the EASM and the SST tripole in the North Atlantic (Wu et al. 2009, 2012; Zuo et al. 2013; Zheng et al. 2016), rather than TASST. Although Ham et al. (2017) mentioned that the subtropical monsoon front, Changma, can be affected by summer TASST, their study was confined to Korean precipitation and was focused on the concurrent relationship between them. In this study, we examine the remote impact of springtime TASST on the subsequent EASM variability.

The paper is outlined as follows. In Sect. 2, we briefly describe the primary dataset and CMIP5 models used. The linkage between spring TASST and the EASM variability is addressed in Sect. 3. Section 4 describes the possible mechanisms of the remote impact of TASST on the EASM by using the observational dataset and CMIP5 historical simulations. The summary and conclusions are given in Sect. 5.

2 Data

We used the monthly mean air temperature, horizontal wind, and geopotential height fields from the Modern-Era Retrospective Analysis for Research and Applications (MERRA) reanalysis dataset with 1.25° × 1.25° horizontal resolution (Rienecker et al. 2011) for the period 1979–2015. The monthly precipitation data were taken from the Global Precipitation Climatology Project (GPCP; Adler et al. 2003) version 2.2. In order to support our results derived from the GPCP precipitation data, we also utilized monthly mean precipitation data from 59 Korean weather stations for the same period. In addition, the monthly mean SST data were obtained from the Hadley Centre Sea Ice and Sea Surface Temperature (HadISST) dataset gridded at 1° × 1° resolution (Rayner et al. 2003).

Following the recommendation of Wang et al. (2008a), the reversed Wang and Fan index (hereafter EASMI) was calculated to represent the strength of the EASM. This index was defined by the U850 (22.5°–32.5°N, 110°–140°E) minus U850 (5°–15°N, 90°–130°E), where U850 denotes the zonal wind at 850-hPa. The wintertime (December-February; DJF) Nino3.4 index was obtained from the NOAA Climate Prediction Center website (http://www.cpc.ncep.noaa.gov/). In addition, the horizontal wave activity fluxes (WAF), which represent the propagation of quasi-stationary Rossby waves, were estimated as described by Takaya and Nakamura (2001). To identify the role of the TASST in the modulation of eastward propagating Rossby waves, Rossby Wave Sources (RWS) were derived from the quasi-geostrophic vorticity equation following the previous studies (Sardeshmukh and Hoskins 1988; Jin and Hoskins 1995; Lim 2015). Prior to the analysis all data were detrended.

In order to support the observational hypothesis that the late spring SST anomalies over the tropical Atlantic can potentially affect the subsequent EASM, we utilized the CMIP5 historical simulations. For the ensemble analysis, the results of all models were interpolated onto the MIROC-ESM grid, which has the lowest-resolution (T42; 128 × 64) among 31 CMIP5 CGCMs. Only the first ensemble member of each model was considered. Detailed descriptions of the CMIP5 CGCMs used are summarized in Table 1.

Table 1 CMIP5 models used in this study

3 Relationship between late spring TASST and the EASM

To identify the spatial distribution of summer precipitation anomalies associated with the EASMI, regression analysis was conducted for the period 1979–2015 (Fig. 1). The regression map of the precipitation anomalies on the EASMI yields a meridional tripole pattern over East Asia, consistent with previous studies (e.g., Wang et al. 2008a; Wu et al. 2009). The positive precipitation anomalies prevail over the BCM frontal area and Maritime Continent. Meanwhile, the negative precipitation anomalies are located over the western North Pacific. In addition to the tripole pattern, positive (negative) precipitation anomalies appear in the tropical Atlantic and Indian Oceans (the Okhotsk Sea and vicinity of the Nino3.4 region). Particularly, the significant positive precipitation anomalies associated with the EASM are located over the Atlantic Inter-Tropical Convergence Zone (ITCZ) region. According to previous studies (Ham et al. 2013a, b; Ham and Kug 2015), the positive precipitation anomalies over the tropical Atlantic during boreal summer (Fig. 1) are closely associated with the strengthened Atlantic ITCZ, and are known to be affected by TASST anomalies during the preceding spring. This implies that the EASM could be predicted by the preceding spring SST over the tropical Atlantic.

Fig. 1
figure 1

Regression map of the summer (JJA) precipitation anomaly (Unit: mm/day) on the East Asian Summer Monsoon index (EASMI). The dots indicate the areas where the correlation coefficients are significant at the 90% confidence level

To assess the linkage between late spring (May) SST anomalies and the subsequent EASM, the map of May SST regressed on the EASMI was computed (Fig. 2a). The significant positive SST anomalies associated with the EASMI are located over the Atlantic with the maximum centered in the north tropical Atlantic (black rectangle in Fig. 2a), suggesting that the EASM variability may be controlled by the long-lived TASST. Although the TASST anomalies shown in Fig. 2a bear some resemblance with the southernmost part of the North Atlantic SST tripole pattern (e.g., Figure 5 of Wu et al. 2009), they cover a wider area (25°S–25°N) than the southern pole of the tripole pattern (0°–30°N). In addition, there are positive SST anomalies in the Indian Ocean, which precede the summers of the positive EASMI polarity (Yang et al. 2007; Xie et al. 2009). However, the discussion on this relationship is beyond the scope of this study.

Fig. 2
figure 2

a Regression map of the May SST anomaly (Unit:  °C) on the EASMI. b Time series of the normalized EASMI, May TASST, and DJF Nino3.4. c Partial correlation coefficients between monthly TASSTs and the EASMI after excluding the effect of the preceding DJF Nino3.4. The dots in (a) indicate the areas where the correlation coefficients are significant at the 90% confidence level. The blue (red) dots in (c) denote that the correlations are significant at the 95% (99%) confidence level

To quantitatively clarify this relationship between May TASST and the EASM, we define the May TASST index by area averaging the SST anomalies over the region (25°S–25°N, 84°W–0°), a region where the correlation coefficients exceed the 95% confidence level. Figure 2b shows the time series of the normalized EASMI, May TASST, and DJF Nino3.4 indices for the period 1979–2015. It is clear that these three indices significantly covariate over the analysis period with a correlation coefficient of 0.72 (0.54) between the EASMI and May TASST (DJF Nino3.4), which is significant at the 99% confidence level. Also, May TASST has a significant positive correlation with the preceding DJF Nino3.4, as identified by previous studies (e.g., Alexander and Scott 2002).

To isolate the unique contribution of May TASST to the EASM, independent of the preceding DJF Nino3.4, we performed partial correlation analysis. Figure 2c shows the partial correlation coefficients between the EASMI and monthly TASSTs, excluding the effect of the preceding DJF Nino3.4. As shown, the EASMI is significantly correlated with the monthly TASSTs from February to July. In particular, there is strong covariability between the series of May TASST and the EASM, with a correlation coefficient of 0.61, which is significant at the 99% confidence level based on a Student’s t test. These statistical results suggest that May TASST can potentially affect the EASM with 1-month time lag.

In order to support this result, partial regression analysis was applied. Figure 3 shows the partial regression of summer (June–July–August; JJA) precipitation anomalies on the normalized May TASST after excluding the influence of the DJF Nino3.4, following the similar method by Ham et al. (2013a, b) and Ham and Kug (2015). The pattern of the GPCP precipitation anomalies associated with May TASST yields the meridional tripole pattern (Fig. 3a) resembling the regression map shown in Fig. 1. The positive (negative) precipitation anomalies are located over the subtropical frontal area and Maritime Continent (western North Pacific). This result is also confirmed by the analysis of in situ precipitation data (Fig. 3b). Generally, positive precipitation anomalies are observed over South Korea during the boreal summer season. In particular, northwestern South Korea features significant positive anomalies, which is to some extent consistent with those reported by Ham et al. (2017).

Fig. 3
figure 3

Partial regression maps of the summer precipitation anomalies (Unit: mm/day) on May TASST after excluding the effect of the preceding DJF Nino3.4; (a) and (b) are from GPCP and 59 weather station data maintained by the Korea Meteorological Administration, respectively. The dots in (a) and the red circles in (b) indicate the areas where the correlation coefficients are significant at the 90% confidence level

Figure 4a and c show the regression maps of JJA geopotential height anomalies at 500-hPa and 850-hPa on the normalized EASMI, respectively. In the Eurasian Continent, a wave-like pattern is clearly seen, especially in the upper (not shown) and middle troposphere (Fig. 4a). This pattern exhibits a quasi-barotropic structure with positive (negative) geopotential anomalies in the Ural Mountains and the Okhotsk Sea (central Europe and Siberia, particularly to the northwest of Lake Baikal). In addition to the zonal wave-train pattern, a Pacific–Japan teleconnection pattern (Nitta 1987) extending from south to north is found along the coastal region of East Asia. These two teleconnection patterns are consistent with those of previous studies (e.g., Wu et al. 2009; Li et al. 2018). Similarly, the 1-month lag responses of JJA circulation to the preceding May TASST, excluding the effect of the preceding DJF Nino3.4 (Fig. 4b and d) closely resemble the summer monsoon system over East Asia shown in Fig. 4a and c. It suggests that May TASST contributes significantly to the EASM circulation.

Fig. 4
figure 4

Regression maps of the summer geopotential height anomalies (Unit: gpm) at a 500-hPa and c 850-hPa on the EASMI. Partial regression maps of the summer geopotential height anomalies (Unit: gpm) at b 500-hPa and d 850-hPa on May TASST after excluding the effect of the preceding DJF Nino3.4. The dots indicate the areas where the correlation coefficients are significant at the 90% confidence level

Singular value decomposition (SVD) analysis (Bretherton et al. 1992; Choi et al. 2016) was performed to determine the coupled modes of variability between JJA precipitation and May SST fields. Figure 5 shows heterogeneous correlation patterns and the time series of the corresponding Expansion Coefficients (EC) of the first coupled SVD modes for May SST (SST EC1) and the summer precipitation (PR EC1). The leading SVD mode explains 55.4% of the total covariance, and the temporal correlation coefficient between the two expansion coefficients is 0.68, which is significant at the 99% confidence level. The leading SVD mode of JJA precipitation variability yields the meridional tripole pattern that closely resembles the regression pattern shown in Figs. 1a and 3a. The correlation coefficient between the time series of the PR EC1 and the EASMI is 0.92, which exceeds the 99% confidence level. The leading coupled mode of the May SST variability bears a strong resemblance with the regression map shown in Fig. 2a with the correlation coefficient being 0.88 between SST EC1 and May TASST. Thus, the SVD results support our hypothesis that May TASST does significantly influence the EASM precipitation.

Fig. 5
figure 5

Heterogeneous correlation patterns of the a JJA precipitation (Unit: mm/day) over East Asia and b May SST (Unit:  °C) in the tropical Atlantic for the first SVD mode. c Time series of the normalized expansion coefficients

The quantitative assessments of the complex relationships are summarized in Table 2. Most of the correlation coefficients are significant at the 99% confidence level. The linkage between the EASMI and the preceding May TASST is evident with the correlation coefficient being 0.72 for the period 1979–2015. It is also apparent that the EASMI has a close relationship with SST EC1 (PR EC1) with the correlation coefficients reaching 0.65 (0.92), which is significant at the 99% confidence level. Although April–May (AM) NAO and DJF Nino3.4 are well known to affect the EASM through teleconnections (Ogi et al. 2003; Sung et al. 2006; Wu et al. 2009; Zuo et al. 2013), these two indices show relatively low correlations (− 0.43 and 0.54) with the EASMI. Furthermore, the partial correlation coefficient between May TASST (preceding DJF Nino3.4) and the EASMI after excluding the effect of the preceding DJF Nino3.4 (May TASST) is 0.61 (0.28), which is significant at the 99% (90%) confidence level. This indicates that TASST itself strongly affects the EASM variability, and that the connection between the EASM and the preceding DJF Nino3.4 is strongly determined by May TASST.

Table 2 Correlation coefficients among the EASMI, May TASST, DJF Nino3.4, AM NAO, SST EC1, and PR EC1 for the period 1979-2015. The values in parentheses indicate the partial correlation coefficient between May TASST (preceding DJF Nino3.4) and the EASMI after excluding the effect of the preceding DJF Nino3.4 (May TASST)

4 Possible mechanisms

The analyses presented above revealed a strong coupling between May TASST and the EASM circulation system. Next, we applied partial regression analysis to investigate the mechanisms responsible for the connection between the EASM and the preceding May TASST. Figure 6a and b show the partial regression of May and JJA SST anomalies, respectively, on the preceding May TASST. Significant positive SST anomalies are clearly evident in the tropical Atlantic area. These SST signals appear to persist from spring through summer due to the oceanic thermal memory (Fig. 6b), which is quantified by the correlation coefficient of 0.83 between the May and JJA TASSTs (statistically significant at the 99% confidence level). These results agree well with previous studies (Wu et al. 2009; Zuo et al. 2013; Ham et al. 2013a).

Fig. 6
figure 6

Partial regression maps of the a May and b summer SST anomalies (Unit:  °C) on May TASST after excluding the effect of the preceding DJF Nino3.4. The dots in (a) and (b) indicate the areas where the correlation coefficients are significant at the 90% confidence level

The Pacific-Atlantic teleconnection induced by the persistence of the TASST anomalies is one of the possible mechanisms for this May TASST-EASM coupling, as has been introduced in simplified form by previous studies (McGregor et al. 2014; Li et al. 2016; Ham et al. 2017). Figure 7 shows the partial regression maps of the JJA precipitation, horizontal wind, velocity potential, and divergent wind anomalies on May TASST. The positive precipitation anomaly response to May TASST appears over the north tropical Atlantic where the ITCZ is located. This positive precipitation anomaly in the off-equatorial Atlantic (i.e., enhanced Atlantic ITCZ) can induce a Gill-type Rossby wave response (Gill 1980) over the subtropical eastern Pacific, with an anomalous low-level cyclonic circulation (Fig. 7b) and westward extension of the downward branch of the Pacific Walker circulation (Fig. 7c). At the same time, the descending branch of Pacific Walker circulation is simultaneously accompanied by anomalous upper-level convergence and low-level divergence in the CP region (Fig. 7b and c). The associated anomalous low-level divergence causes an equatorial easterly wind anomaly in the western CP region (Fig. 7b). The equatorial easterly wind anomaly enhances the equatorial upwelling, resulting in a negative SST anomaly (Fig. 6b), which not only decreases the precipitation (Fig. 7a; weakened Pacific ITCZ) but also produces anomalous low-level anticyclonic circulation over the western North Pacific as a Gill-type atmospheric response. This anticyclonic circulation over the western North Pacific can bring warm and humid air to higher latitudes, resulting in the enhanced rainfall over the BCM region.

Fig. 7
figure 7

Partial regression maps of a summer precipitation (Unit: mm/day, shading), b horizontal wind anomalies at 850-hPa (Unit: m/s, vector), and c divergent winds (Unit: m/s, vector), and 300-hPa velocity potential (Unit: 106 m2/s, shading) on May TASST after excluding the effect of the preceding DJF Nino3.4. The dots in (a) and (c) indicate the areas where the correlation coefficients are significant at the 90% confidence level. Only vectors statistically significant at the 90% confidence level are shown in (b)

In addition to the westward relay of the Atlantic signal, further evidence for the May TASST-EASM connection is evident in the partial regression maps of 300-hPa geopotential height and the associated WAF anomalies upon May TASST (Fig. 8). The May TASST can induce an upper-level anticyclonic circulation anomaly over the far eastern Pacific and the Atlantic (110°W–65°W) as a Gill-type response. The associated baroclinic wave response (low-level cyclonic circulation and upper-level anticyclonic circulation anomalies in Figs. 7b and 8a, respectively) increases the precipitation over the eastern Pacific ITCZ region (110°W–80°W; Fig. 7a), which in turn produces another Gill-type Rossby wave response over the eastern North Pacific (145°W–105°W; Fig. 8a; Wang et al. 2007 and 2008b; Barimalala et al. 2012). These wave responses near the subtropical westerly jet region (Fig. 8a) produce RWS associated with advection of absolute vorticity and vorticity stretching by the divergent flow. That is, the positive RWS anomaly prevails over the eastern North Pacific and the western North Atlantic (Fig. 8b). The perturbed Rossby wave in turn propagates eastward from the eastern Pacific to the Okhotsk Sea along the jet stream waveguide, which features remarkably positive geopotential anomalies in the Ural Mountains and the Okhotsk Sea, but negative anomalies in central Europe and Siberia, particularly to the northwest of Lake Baikal (Fig. 8a). This pattern closely resembles the regression maps shown in Fig. 4, indicating the quasi-barotropic structure. In particular, the anticyclonic anomaly over the Okhotsk Sea is known to play an important role in the EASM variability (Wu et al. 2009; Zuo et al. 2013; Park and Ahn 2014; Yim et al. 2014; Oh et al. 2018). The anomalous anticyclonic circulation with barotropic structure over the Okhotsk Sea can transport cold air to lower latitudes. This cold air mass can be combined with the warm and humid air mass induced by the anomalous Philippine high, causing the enhanced subtropical frontal rainfall over the BCM region (Yim et al. 2014; Oh et al. 2018). In line with the zonal wave-train pattern, the associated WAF propagates eastward from the eastern Pacific to the Okhotsk Sea along the jet stream waveguide (Fig. 8c). Hence, the zonal wave-train pattern is another possible mechanism for the linkage between May TASST and the EASM.

Fig. 8
figure 8

Partial regression maps of a 300 hPa geopotential height anomaly (Unit: gpm), b Rossby wave source (RWS; Unit: 1 × 10−11 s−2), and c associated wave activity flux (WAF; Unit: m2/s2) on May TASST after excluding the effect of the preceding DJF Nino3.4. The dots in (a) indicate the areas where the correlation coefficients are significant at the 90% confidence level. The black rectangles in (a) and (b) represent the region where the Gill-type response index is defined. Shading in (c) denotes the climatological 300 hPa zonal wind (Unit: m/s) during boreal summer

According to the previous studies, several factors are known to force the Rossby wave train prevailing over the northern Eurasia, such as tripolar SST in the North Atlantic (Wu et al. 2009, 2012; Zuo et al. 2013; Zheng et al. 2016), and tropical Atlantic SST (Watanabe and Kimoto 2000; Li et al. 2007). However, the relative roles of tropical and extratropical Atlantic SST anomalies in affecting Rossby wave propagation remain unclear. To quantitatively clarify this issue, we performed correlation, scatter diagram and composite analyses. For this, the subpolar SST index was defined as the area-averaged JJA SST anomalies over 40°N–60°N, 50 W°–20°W where the correlation coefficients between May TASST and north Atlantic SST anomalies during JJA exceed the 90% confidence level (upper black rectangle in Fig. 6b). In addition, on the basis of the Rossby wave train response to the May TASST, Gill-type response and Okhotsk indices were defined by area averaging the 300-hPa geopotential height anomalies over 15°N–45°N, 145 W°–65°W (left black rectangle in Fig. 8a) and 50°N–70°N, 120E°–152°E (right black rectangle in Fig. 8a), respectively.

Table 3 shows the correlation coefficients among TASST, subpolar SST, Gill-type response and Okhotsk indices. The results reveal a strong co-variability between May TASST and subpolar SST, which are associated with the North Atlantic SST tripole pattern. The tripolar SST in the North Atlantic is well known to excite the Rossby wave train prevailing over the northern Eurasia (Wu et al. 2009, 2012; Zuo et al. 2013). However, the tropical and extratropical Atlantic SST anomalies play different roles in affecting Rossby wave propagation. It is apparent that the May TASST index has a close relationship with both the JJA Gill-type response and the Okhotsk indices, with correlation coefficients reaching 0.75 and 0.34, which are significant at the 99% and 95% confidence levels, respectively. Meanwhile, subpolar SST has an insignificant relationship with the Okhotsk high during JJA with a correlation coefficient of 0.28. Thus it seems probable that the Gill-type response in the eastern Pacific can link the May TASST and JJA Okhotsk high. These relationships are further supported by the partial correlation analysis, which produced a partial correlation coefficient of 0.34 between the JJA Gill-type response and the Okhotsk indices after excluding the effect of subpolar Atlantic SST.

Table 3 Correlation coefficients among subpolar SST, Gill-type response and Okhotsk indices for 1979–2015

Figure 9 shows the scatter diagram of the Okhotsk index associated with the normalized JJA subpolar SST and Gill-type response indices. It is likely that the sign of the JJA Okhotsk index is mainly impacted by the Gill-type Rossby wave response, rather than by subpolar Atlantic SST. That is, the value of the Okhotsk index tends to be positive (negative) when the value of the Gill-type response index is positive (negative). This further supports the relative role of the May TASST variability on the eastward propagation of the Rossby wave train along the westerly jet stream over the northern Eurasia.

Fig. 9
figure 9

Scatter diagram between the normalized JJA subpolar SST and Gill-type response indices. The red (blue) dots denote events when the JJA Okhotsk index is above (below) 0.5 (− 0.5) standard deviation

In order to separate the relative roles of the JJA subpolar SST and Gill-type response, composite analysis was conducted. All years were categorized into two groups based on the JJA subpolar SST and Gill-type response indices. One group is for the subpolar Atlantic SST warming accompanied by a strong anticyclonic anomaly in the eastern Pacific (hereafter, the strong Gill-type response case; i.e., both subpolar SST and Gill-type response indices are greater than their 0.5 standard deviation), and the other is for the subpolar Atlantic SST warming only (hereafter, the weak Gill-type response case; i.e., the subpolar SST index is above 0.5 standard deviation and the Gill-type response index is less than or equal to 0.5 standard deviation).

Figure 10a shows composites of JJA 300-hPa geopotential height for strong and weak Gill-type response cases. In the former strong case, the Rossby wave train with the strong Okhotsk high develops during JJA, which is similar to the result shown in Fig. 8a. In contrast, when the Gill-type response is weak, the Rossby waves may not propagate far from their source. This suggests that the Gill-type response derived from May TASST plays some role in modulating both Rossby wave propagation and the Okhotsk high. Composites of JJA SST for both cases can further confirm the relative role of TASST on the Okhotsk high (Fig. 10b). TASST (subpolar SST) warming only appears in the case of the strong Gill-type response (both cases) during the boreal summer season, while there is no significant signal over the tropical Atlantic in the weak Gill-type response case. Furthermore, we analyzed composites of JJA 300-hPa geopotential height for tropical Atlantic SST warming-only case (i.e., the subpolar SST index is less than or equal to 0.5 standard deviation and the Gill-type response index is above 0.5 standard deviation; data not shown). In this case, there is no significant Rossby wave signal over the northern Eurasia. This implies that the strong coupling among TASST, subpolar SST, and Gill type response may excite the Rossby wave train which tends to travel farther into the Sea of Okhotsk.

Fig. 10
figure 10

Composites of JJA 300-hPa geopotential height (a, b) and SST (c, d) anomalies for strong and weak Gill-type response cases. The dots indicate the areas where the correlation coefficients are significant at the 90% confidence level based on the two-tailed student’s t test

To support the observational findings, the 31 CMIP5 historical simulations were utilized for the period 1961-2005. Figure 11 shows the partial correlation coefficients derived from 31 individual CMIP5 models after removing the effects of the preceding wintertime Nino3.4. Most GCMs, except three (HadCM3, IPSL-CM5A-LR, and MPI-ESM-LR), can simulate the positive May TASST-EASM relationship. In particular, thirteen models (CNRM-CM5-2, GFDL-ESM2 M, IPSL-CM5B-LR, MIROC5; NorESM1-ME, CMCC-CMS, MRI_CGCM3, GFDL-CM2.1, IPSL-CM5A-MR, MIROC-ESM, HadGEM2-ES, HadGEM2-AO, and GFDL-ESM2G) show better performance in simulating the remote impact of the tropical Atlantic on the EASM variability with correlation coefficients ranging from 0.31 to 0.66, which are significant at the 95% confidence level, although the CMIP5 models appear to predominantly underestimate the observed relationship.

Fig. 11
figure 11

Partial correlation coefficients between May TASST and the EASMI after excluding the effect of the preceding DJF Nino3.4 using the 31 Coupled Model Intercomparison Project Phase 5 (CMIP5) historical simulations. The red (blue) bars indicate the areas where the correlation coefficients are significant at the 99% (95%) confidence level

Using the thirteen models, we performed multi-model ensemble analysis in order to confirm the proposed mechanisms. The multi-model ensemble mean is calculated based on the equally weighted average of the thirteen models that can capture the significant relationship between the tropical Atlantic Ocean and the EASM variability. Figure 12 shows the partial regression maps of summer precipitation, 850-hPa horizontal wind, and 300-hPa geopotential height anomalies on May TASST. According to the ensemble results, the westward relay of the Atlantic signal can be seen to some extent from the Pacific through the Atlantic region, with the cyclonic flow over the eastern Pacific, low-level divergence in the CP region, and the intensified Walker circulation over the tropical Pacific Ocean. This Pacific-Atlantic teleconnection pattern well corresponds to the observational result shown in Fig. 7. Also, the significant positive geopotential height anomalies in the upper troposphere, especially over the Ural Mountains and the Okhotsk Sea, bear some resemblance with those shown in Fig. 8a. The two teleconnection patterns appearing in the lower (Fig. 12b) and upper (Fig. 12c) atmosphere can affect the EASM according to the observational evidence. These results support our hypothesis that the preceding May SST anomalies over the tropical Atlantic can potentially affect the EASM.

Fig. 12
figure 12

Partial regression maps of summer a precipitation (Unit: mm/day, shading), b horizontal wind anomalies at 850-hPa (Unit: m/s, vector), and c geopotential height anomaly (Unit: gpm) at 300-hPa on May TASST after excluding the effect of the preceding DJF Nino3.4. The dots in (a) and (c) indicate the areas where the correlation coefficients are significant at the 90% confidence level. Only vectors statistically significant at the 90% confidence level are shown in (b)

5 Summary and conclusions

This study has demonstrated the influence of May TASST on the following EASM variability and we propose two possible mechanisms for this coupling. Our findings confirm the May TASST-EASM coupling with a correlation coefficient of 0.72 for the period 1979–2015. That is, the response of JJA precipitation to May TASST yields the meridional tripole pattern. In particular, the positive (negative) precipitation anomalies are clearly evident in the subtropical frontal area and Maritime Continent (western North Pacific). This tripole pattern closely resembles the EASM. In addition, the SVD results further support our hypothesis that May TASST does significantly influence the EASM precipitation.

We also found evidence that two atmospheric teleconnections propagating in both east and west directions are the key physical mechanisms responsible for the May TASST-EASM connection. That is, the positive TASST during late spring can persist through the subsequent summer, which in turn strengthens the off-equatorial Atlantic ITCZ. The intensified ITCZ induces the Gill-type atmospheric response, with the westward extension of the downward branch of the Pacific Walker circulation. The anomalous low-level divergence associated with the westward extension of the Walker circulation can cause an equatorial easterly wind anomaly in the western CP region, which enhances the equatorial upwelling, leading to a negative SST anomaly. That in turn induces anomalous anticyclones in the lower troposphere over the Philippine Sea as a Gill-type atmospheric response. On the other hand, the Gill-type atmospheric response derived from May TASST produces an RWS near the subtropical westerly jet region. The perturbed Rossby wave then propagates eastward from the eastern Pacific to the Okhotsk Sea along the jet stream waveguide, which causes the anomalous tropospheric anticyclone with barotropic structure over the Okhotsk Sea. In relationship to this, we further demonstrated that the sign of the JJA Okhotsk high is mainly impacted by the tropical SST rather than by the subpolar SST over the Atlantic. Consequently, the anomalous anticyclonic circulation over the Philippine Sea (Okhotsk Sea) brings warm and humid (cold) air to higher latitudes (lower latitudes). These two different types of air mass merge over the Baiu-Meiyu–Changma region, causing the enhanced subtropical frontal rainfall. The mechanisms discussed above are shown schematically in Fig. 13.

Fig. 13
figure 13

Schematic diagram of the proposed mechanisms responsible for the May TASST-EASM connection between the EASM and preceding May TASST

Our findings suggest that the May TASST index can to some extent be used to predict the EASM variability. To assess its predictive capability, leave-one-out cross-validation method was applied (Wilks 1995). Figure 14 shows the time series of observed and cross-validated estimates of the EASMI. Although the variation amplitude of the predicted EASMI is smaller than that observed (standard deviation ratio between observed and predicted indices = 0.74), these two time series significantly covariate over the entire period with a correlation coefficient of 0.67, which is significant at the 99% confidence level. This implies that the May TASST could be a useful predictor for the EASM.

Fig. 14
figure 14

Time series of observed and cross-validated estimates of the EASMI

In conclusion, this study has newly revealed that the EASM system can be greatly affected by TASST during late spring. In particular, the inter-basin relationship between the tropical Atlantic Ocean and the EASM variability is clearly identified from the observational data and CMIP5 historical simulations, although the CMIP5 models appear to predominantly underestimate the observed relationship. However, the statistical approach used in this study still cannot completely explain the physical mechanisms responsible for the May TASST-EASM coupling. Explicitly clarifying the proposed mechanisms will require further model experiments.