Analysis of the Interactions between the 200 hPa Jet and Air Pollutants in the Near-Surface Layer over East Asia in Summer

: The rapid economic development in East Asia has led to serious air pollution problems in the near-surface layer. Studies have shown that there is an interaction between air pollution and the East Asian upper-level jet, which is an important weather system controlling the climate in East Asia. Therefore, it is of great signiﬁcance to study the relationship between the surface layer air pollutants and the upper-level jet stream in East Asia. Based on the daily wind and vertical velocity data provided by the National Centers for Environmental Prediction/National Center for Atmospheric Research as well as the surface pollutant and meteorological variable data provided by the Science Data Bank, we use statistical analysis methods to study the relationship between the East Asian upper-level jet and the high-concentration area of near-surface air pollutants in summer. Meanwhile, the mechanisms of the interaction are preliminarily discussed. The results show that the North China Plain and the Tarim Basin are the high-value areas of the particulate matter (PM) in summer during 2013–2018, and the ozone (O 3 ) concentration in the near-surface atmospheric layer in the North China Plain is also high. The average concentrations of the PM 2.5 , PM 10 and O 3 in the North China Plain are 45.09, 70.28 and 131.27 µ g · m − 3 , respectively, and the days with the concentration exceeding the standard reach 401, 461 and 488, respectively. During this period, there is an increasing trend in the O 3 concentration and a decreasing trend in the PM concentration. The average ratio of the PM 2.5 to PM 10 is approximately 0.65 with a decreasing trend. The air pollutant concentration in this region has a signiﬁcant relationship with the location of the East Asian upper-level jet. The low wind speed at the surface level under the control of the upper-level jet is the main reason for the high pollutant concentration besides the pollutant emission. They relate to each other through the surface humidity and the meridional and zonal wind. Meanwhile, the concentrations of the PM 2.5 and PM 10 are high in the near-surface layer in the Tarim Basin, and the average concentrations are 45.19 and 49.08 µ g · m − 3 , respectively. The days with the concentration exceeding the standard are 265 and 193, respectively. The interannual variation in the PM concentration shows an increasing trend ﬁrst and then a decreasing trend. The average ratio of PM 2.5 to PM 10 in this region reaches approximately 0.9. The ratio reaches the highest in 2013 and 2014 and then decreases to and maintains at approximately 0.85. The concentration of air pollutants in the basin has a signiﬁcant relationship with the intensity of the upper-level jet in East Asia. The weakening of the upper-level jet will lead to a decrease in the surface humidity in the northern part of the basin, an increase in the surface temperature in the western part of the basin and a decrease in the surface zonal wind in the eastern part of the basin, which will result in a higher PM concentration.


Introduction
Since the industrial revolution, the increase in human activities has exacerbated climate change in the earth system. At present, observation results have proved that global climate change has become an unequivocal fact, such as the continuous rise of the global temperature, glacier melting and frequent extreme weather events, which are serious threats to human survival and development [1]. Therefore, the in-depth understanding of climate change is the current hotspot of scientific research, which will provide scientific support for climatic policymaking.
Some studies have pointed out that there is an interaction between climate change and air pollution [2]. Among the influencing factors of climate change, the role of aerosol is the most uncertain [1]. The main component of air pollutants is the atmospheric aerosol. The atmospheric aerosol refers to the particulate matter (PM) suspended in the atmosphere. Aerosol particles can be solid or liquid and can also exist in the mixing form of solid and liquid. In general, the diameters of the atmospheric aerosol particles are several nanometers to tens of microns. The sources of aerosol particles in the atmosphere are different, and different aerosols have different physical, chemical and optical properties, resulting in more complex climatic effects of aerosols. The climatic effects of aerosols can be divided into direct climatic effects, indirect effects and semi-direct effects. Although the three effects are different in their interaction mechanisms, they all essentially lead to the change in the earth climate system by affecting the radiation budget balance of the earth-atmosphere system [3][4][5][6][7]. At the same time, variations in the climate system will cause the variation in relevant meteorological factors, which will have an impact on the distribution of air pollutants [8,9]. The East Asian upper-level jet is a narrow wind belt with a high wind speed above 500 hPa in the East Asia region [10]. Many observational data show that the strongest subtropical westerly wind speed generally exists at 200 hPa [10,11], and the East Asian jet is generally defined as the 200 hPa maximum zonal wind speed zone. The East Asian upper-level jet has significant seasonal variation, and its location and intensity will change accordingly. The jet stream, with its strong shears, plays an important role in forming upper level convergence and divergence. Therefore, it causes variations of the weight of all the air in a column from the ground to the limit of the atmosphere. In other words, The upper level jet stream makes the surface pressure change, which could result in variations in the air flow field at the ground [12]. At present, a large number of studies have shown that the East Asian upper-level jet controls the atmospheric circulation in East Asia and has an extremely important impact on the weather and climate in East Asia [13][14][15]. Secondary circulations will be generated around the East Asian upper-level jet, leading to the coupling of upper-level and low-level weather systems accompanied by the exchange of the matter, momentum and energy between the upper level and the ground. Therefore, the East Asian upper-level jet, as important weather and climate system in East Asia, may have a certain interaction with the surface pollutants. Studies have shown that surface pollutants have effects on the upper-level jet stream. Song et al. [16] and Chen et al. [17] pointed out that the increase in summer aerosols will cause the southward movement of the upper-level jet stream, which is mainly due to the change in the upperlevel temperature gradient caused by the aerosol forcing. Liu et al. [18] pointed out that, in winter, to the north of 30 • N, the mid-latitude cooling caused by aerosols leads to the enhancement of the subtropical jet stream and the weakening of the temperate jet stream, which further makes the upper-level jet stream move southward. In other studies, it has been found that the upper-level jet stream can affect the distribution of surface pollutants. Ordóñez et al. [19] found that the location of the North Atlantic jet stream has a greater impact on the concentration distribution of the surface PM 10 than on its intensity. Barnes and Fiore [20] have shown that the location of the jet stream in eastern North America in summer is closely related to the surface ozone concentration. Kerr et al. [21] used a model to analyze the position of the upper-level jet stream affecting the transport of the ozone by affecting the surface meridional wind. However, current research mainly focusses on the one-way effect between the upper-level jet stream and surface pollutants and rarely focusses on the interaction between them. In addition, the East Asia region has a wide zonal range, and the distributions of the terrain, coastline and land use are relatively complex. The region is mainly controlled by the monsoon system, and the seasonal change in the climate is distinctive. In particular, the role of the summer monsoon system is relatively significant. Meanwhile, the population in East Asia accounts for one third of the world's population. On the one hand, the climate change in East Asia has a significant impact on the production and lives of the local people. On the other hand, the climate in East Asia is also strongly affected by human factors related to the rapid economic development of Asian countries. Therefore, the East Asian upper-level jet is one of the main members of the monsoon system that controls the weather and climate in East Asia, and the surface pollutant is an important factor affecting weather and climate changes. It is of great practical significance to study the interaction between them in summer and explore the mechanism.

Data
The National Centers for Environmental Prediction/National Center for Atmospheric Research (NCEP/NCAR) daily reanalysis data of the zonal wind and vertical velocity from 1989 to 2018 are used with the horizontal resolution of 2.5 • × 2.5 • (the number of grid points is 144 × 73) and the vertical resolution of 17 layers.
The surface pollutant data and the surface meteorological variables including the relative humidity, temperature, surface meridional wind and surface zonal wind data are derived from the second version of the high-resolution air pollution reanalysis dataset in China in the Science Data Bank during 2013-2018. The dataset mainly contains two parts. The first part is the surface concentration reanalysis data of six conventional air pollutants (PM 2.5 , PM 10 , SO 2 , NO 2 , CO and O 3 ) in China from 2013 to 2018. These data are obtained by assimilating the surface observation data provided by the China National Environmental Monitoring Center by using the ensemble Kalman filter and the Nested Air Quality Prediction Modeling System. The second part is the Weather Research and Forecasting model simulation data of surface meteorological variables including the wind speed, temperature, air pressure and relative humidity during the same period. The spatiotemporal resolution of the dataset is high with the temporal resolution of 1 h and the spatial resolution of 15 km. By using cross-validation, independent data verification and comparing with similar data at home and abroad, it was found that the dataset is highly accurate [22]. In this study, four surface pollutants of the NO 2 , PM 10 , PM 2.5 and O 3 are selected as the main research objects, and the O 3 data are processed into the format of the maximum concentration in 8 h per day.

Methods
All methods used in this paper were coded and computed in the programming language Python.

Empirical Orthogonal Function Decomposition
The empirical orthogonal function (EOF) is applied to the meteorological variable that changes with time, and the meteorological variable is decomposed into two parts, namely, the function of time and the function of space.
Assuming that the sample size is n and the meteorological variable X contains p spatial points (variables), the anomaly value of any spatial point i at any time point j can be regarded as the linear combination of p spatial functions v ik and p time functions y ki (k = 1, 2, 3 . . . . . . and p). The decomposition is expressed as a matrix form of X = VY.
The space vector V is a matrix of n row and n column, which are orthogonal to each other: The time vectors Y is an n-row and m-column matrix, and Y are also orthogonal: Defining the matrix A as A = X × X T , and then we have: V is also the eigenvector of A, Λ's principal diagonal is the eigenvalue of A and the rest are all 0. Y can be obtained as Y = V T × X.
This method is used to study the spatio-temporal characteristics of 200 hPa zonal wind. More information about EOF can be found in [23].

Singular Value Decomposition
The singular value decomposition (SVD) method is performed on the covariance matrix of two variables. The anomalies fields of the variables and the normalized variables are commonly used. The decomposition result reveals the spatial correlation of two variable fields within a certain time range to a great extent. The heterogeneous correlation diagrams of the left and right fields explain the correlation between the two variables, and the SVD results are tested by using the Monte-Carlo method to avoid false correlation. The detailed descriptions and application of SVD is given in [24].This approach is used to test the relationships between upper level jet stream (200 hPa zonal wind) and surface pollutants (PMs and O 3 ) over East Asia.

Pearson Correlation Coefficient
The Pearson correlation coefficient is a statistic that measures the linear correlation between two variables. It is usually represented by r, and its value ranges between −1 and 1. The calculation formula of the correlation coefficient between variables x 1 , x 2 , x 3 ...x n and variables y 1 , y 2 , y 3 ...y n is as follows: The correlation coefficient in this study is tested by using the Monte Carlo method. That is, the two variables are considered to obey the normal distribution. The H 0 hypothesis is when the correlation coefficient is r, the two variables are not correlated. Given the confidence level α, the corresponding critical value can be determined according to the degree of freedom so that the probability distribution function conforms to P (|r| > r 1-α ) = α. If |r| > r 1-α , the hypothesis H 0 is rejected, and the correlation between the two variables is significant. Otherwise, the two variables are not correlated. The specific approaches are as follows.
First, a pair of arrays that conform to the normal distribution with sample sizes of n are randomly generated, and the Pearson correlation coefficient between them is calculated.
Second, the first step is repeated 15,000 times, and the obtained correlation coefficients are sorted in descending order. The 5000th correlation coefficient (1-α) is found and marked as r 1-α .
Third, the actual correlation coefficient |r| and the r 1-α are compared. If |r| > r 1-α , the two variables are correlated. Otherwise, they are not correlated.
We used this method to analyze the relationships between jet stream (200 hPa zonal wind) and surface meteorological elements (humidity, temperature, meridional wind and zonal wind), as well as the relationships between surface pollutants (PMs and O 3 ) and surface meteorological variables (humidity, temperature, meridional wind and zonal wind). The Monte Carlo method is also used to test whether the correlation is significant [25].

Relevant Definitions of the East Asian Upper-Level Jet
In this study, the area with the westerly wind speed greater than 30 m·s position of the East Asian upper-level jet is defined as the latitude of the maximum westerly wind speed at 200 hPa in East Asia. The intensity of the East Asian upper-level jet is defined as the average wind speed on the jet stream axis. Figure 1 shows the average climate state of the 200 hPa jet stream axis in summer from 1989 to 2018. The position of the 200 hPa jet stream in summer is around 40° N with relatively large interannual fluctuations.

Spatio-Temporal Characteristics of the East Asian Upper-Level Jet in Summer
The monthly average data of 200 hPa zonal wind in summer over East Asia from 2009 to 2018 are selected, and the spatio-temporal decomposition is carried out based on the data. The covariance contribution rates of the first two modes of the EOF (hereafter referred to as EOF1 and EOF2, respectively) decomposition results ( Figure 2) are 57.54% and 8.78%, respectively. The spatial distribution of the EOF1 shows that the dividing line of the 200 hPa zonal wind is around 40° N, which is the average position of the upperlevel jet stream in summer. The variations in the north and the south are opposite, which shows that the EOF1 represents the position variation in the upper-level jet stream. In the time series corresponding to the EOF1, the time coefficients are all negative in June during 2009-2018, while the time coefficients are both positive in July and August in the same years. This indicates that the position of the jet stream in June in this decade is to the south of that in July and August in the same years. The spatial distribution of the EOF2 of the 200 hPa upper-level zonal wind shows that there is a minimum area centered around 40° N, which is the average position of the upper-level jet stream in summer. Therefore, the EOF2 represents the intensity variation in the upper-level jet stream.

Distribution Characteristics of Surface Pollutants in East Asia in Summer
The average concentrations of the NO 2 , PM 10            The average concentrations of the three pollutants of the PM 2.5 , PM 10 (Table 1), respectively. The days with concentrations exceeding the standard reach 401, 461 and 488, respectively, and the days with the PM 10 exceeding the standard are more than those of the PM 2.5 (Figure 5b). Figure 4c-e show that the PM concentrations in the North China Plain show decreasing trends, while the O 3 concentration shows an increasing trend. The average ratio of the PM 2.5 to PM 10 in this area is approximately 0.65, and the ratio shows a decreasing trend (Figures 6 and 7).

Preliminary Analysis of the Relationship between the East Asian Upper-Level Jet and Surface Pollutants in Summer
According to the analysis results in Section 3.1.1, it can be concluded that there is an intraseasonal northward shift of the jet stream position in summer during 2013-2018 Therefore, the impact of the East Asian upper-level jet on pollutants in each month in  Table 2 can also prove this. It indicates that the atmospheric stratification over the North China Plain is relatively stable in June, which is conducive to the pollutant accumulation. The 1000 hPa surface wind during the same period (Figure 8g

Relationship between the Surface Pollutants and the Position and Intensity of the East Asian Upper-Level Jet in Summer
The SVD method is used to further analyze the relationship between the East Asian upper-level jet and surface pollutants in summer. The sum of the cumulative covariance contribution of the first two modes of the SVD (hereafter referred to as SVD1 and SVD2, respectively) of the surface O3 concentration and the 200 hPa zonal wind in summer is 88.46%. The sum of the square of the explained total covariance of the SVD1 is 81.35%, and the correlation coefficient of the time series of the left and right fields is 0.96, showing the synchronized variation in the two fields. In Figure 10e      Combined with Table 2, in July and August, the North China Plain is located near the right side of the exit region of the upper-level jet stream over the Sea of Japan. It is dominated by the ascending motion caused by the upper-level jet stream, which makes pollutants, including PM 10 , O 3 and PM 2.5 , diffuse in the vertical direction to a certain extent in the North China Plain, and the surface concentration is lower than that in June. However, the surface wind speed in the North China Plain is relatively low, and the horizontal diffusion of pollutants is relatively hard. Therefore, the pollution in the North China Plain in July and August is still serious.
The Tarim Basin has a special topography. Except for the Hexi Corridor to the east, the north, west and south sides are all surrounded by high mountains with an average altitude of more than 5000 m [26,27]. Throughout the summer, the Tarim Basin locates at the right of the entrance region of the upper-level jet stream dominated by the ascending motion caused by the upper-level jet stream (Table 2). However, Figure 9b-e indicate that the ascending motion above 700 hPa is very weak, and the air vertical movement is not enough to carry the surface PM 10 and PM 2.5 away from the basin. Meanwhile, the Tarim Basin is dominated by the easterly wind, and the surface wind speed is relatively low in summer. The horizontal diffusion of pollutants is hindered by the surrounding mountains (Figure 8g-i). Therefore, the pollutant concentrations including PM 2.5 and PM 10 are high in summer in the Tarim Basin.
The above analyses show that there is a connection between the summer jet stream and surface pollutants.

Relationship between the Surface Pollutants and the Position and Intensity of the East Asian Upper-Level Jet in Summer
The SVD method is used to further analyze the relationship between the East Asian upper-level jet and surface pollutants in summer. The sum of the cumulative covariance contribution of the first two modes of the SVD (hereafter referred to as SVD1 and SVD2, respectively) of the surface O 3 concentration and the 200 hPa zonal wind in summer is 88.46%. The sum of the square of the explained total covariance of the SVD1 is 81.35%, and the correlation coefficient of the time series of the left and right fields is 0.96, showing the synchronized variation in the two fields. In Figure 10e For the SVD2 of the O3 concentration and 200 hPa zonal wind in summer, the sum of the square of the explained total covariance is 7.31%, and the correlation coefficient of the time series of the left and right fields is 0.94, showing the synchronized variation relationship. The spatial distribution of the left field heterogeneous correlation is similar to that of the EOF2 of the 200 hPa zonal wind. Therefore, the left and right fields heterogeneous correlation of the SVD2 represents the relationship between the surface O3 and the intensity of the East Asian upper-level jet. However, their relationship is not significant in the North China Plain (Figure 11e,f).
Therefore, there may be a certain relationship between the surface O3 concentration in the North China Plain in summer and the position of the East Asian upper-level jet, but the relationship with the intensity of the upper-level jet stream is not significant.
Since  similar to that of the EOF2 of the 200 hPa zonal wind. Therefore, the left and right fields heterogeneous correlation of the SVD2 represents the relationship between the surface concentrations of the PM10 and PM2.5 and the intensity of the East Asian upper-level jet.
By comparing the significance of the heterogeneous correlation diagrams of the first and second modes, we found that the anomalous PM10 and PM2.5 concentrations in summer over the North China Plain may have a certain relationship with the position variation in the East Asian upper-level jet, but the relationship with the intensity anomaly of the upper-level jet stream is not significant. The anomalous surface PM10 and PM2.5 concentrations in the Tarim Basin may have a certain relationship with the intensity anomaly of the East Asian upper-level jet, but the relationship with the position variation in the upper-level jet stream is not significant.  That is, the intensity of the East Asian jet stream is low (high) when the PM 10 and PM 2.5 concentrations are high (low) in the Tarim Basin. The spatial distribution of the right field heterogeneous correlation of this mode is similar to that of the EOF2 of the 200 hPa zonal wind. Therefore, the left and right fields heterogeneous correlation of the SVD2 represents the relationship between the surface concentrations of the PM 10 and PM 2.5 and the intensity of the East Asian upper-level jet.
By comparing the significance of the heterogeneous correlation diagrams of the first and second modes, we found that the anomalous PM 10

Preliminary Analyses of the Interaction Mechanism between the Summer Jet Stream and Pollutants
The East Asian upper-level jet has a three-dimensional structure, and a series of secondary circulations are generated around the upper-level jet stream, which are associated with surface pollutants. The idea of using statistical methods to study the interaction between them is to find out the medium existing in the interaction between them. That is, to find out the surface meteorological variable that connects to the upper-level jet stream and then interacts with surface pollutants. Due to the exchange of the energy, matter and momentum between the upper-level jet stream and the surface, the surface meteorological variables, such as the humidity, temperature, zonal wind and meridional wind, are selected in the study. The correlation analysis method is used to explore the relationships between the upper-level jet stream and the surface meteorological variables including the humidity, temperature, surface zonal wind and surface meridional wind as well as the relationships between the surface meteorological variables and the surface pollutants.

Relationship between the Summer Jet Stream and Surface Meteorological Variables
According to the analyses in Section 3.1.1, it can be concluded that the EOF1 of the 200 hPa zonal wind in the summer from 2013 to 2018 represents the position variation in the summer jet stream. The correlation analysis between the time series of the EOF1 and the surface meteorological variables in the corresponding period can be regarded as the correlation analysis between the position of the upper-level jet stream and the surface meteorological variables in summer. Figure 12 shows that, in the North China Plain, the position of the East Asian upper-level jet in summer has significant positive correlations with the surface humidity and temperature and negative correlations with the surface meridional and zonal wind. In the Tarim Basin, the position variation in the East Asian upper-level jet in summer is significantly positively correlated with the humidity and temperature and negatively correlated with the surface zonal wind. However, the position variation in the East Asian upper-level jet is positively correlated with the surface meridional wind in a small region in the western part of the Tarim Basin, and there is a negative correlation between them in the eastern part of the Tarim Basin.
Combined with the spatio-temporal distribution of the first mode of the 200 hPa zonal wind, it can be said that when the position of the East Asian upper-level jet is more northward, the surface humidity and temperature in North China Plain are higher, and the surface meridional wind and zonal wind are weaker. The surface humidity and temperature in the Tarim Basin are higher, and the surface zonal wind is weaker. The surface meridional wind in the west part of the Tarim Basin is stronger, and weaker in the east part, and vice versa.
The EOF2 of the 200 hPa zonal wind in summer from 2013 to 2018 represents the intensity variation in the summer jet stream. The correlation analyses between the time series of the EOF2 and the surface meteorological variables in the corresponding period represent the relationship between the intensity of summer upper-level jet stream and the surface meteorological variables. In Figure 13, the intensity of the East Asian jet stream is proportional to the surface temperature in the North China Plain, while it is insignificantly related to the surface humidity, meridional wind and zonal wind. In the Tarim Basin, the intensity of the East Asian upper-level jet has a significantly negative correlation with the surface humidity in the northern region, a significantly positive correlation with the surface temperature in the whole area and a significantly negative correlation with the surface zonal wind in the eastern region, but its relationship with the surface meridional wind is insignificant.
Atmosphere 2021, 12, x FOR PEER REVIEW 15 of 20 surface humidity in the northern region, a significantly positive correlation with the surface temperature in the whole area and a significantly negative correlation with the surface zonal wind in the eastern region, but its relationship with the surface meridional wind is insignificant. According to the spatio-temporal distribution of the second mode of the 200 hPa zonal wind, when the intensity of the East Asian upper-level jet is weaker, the surface temperature in the North China Plain is higher, the surface humidity in the northern Tarim Basin is lower, the surface temperature in the region is higher and the surface zonal wind in the eastern part of the basin is weaker, and vice versa.  surface humidity in the northern region, a significantly positive correlation with the surface temperature in the whole area and a significantly negative correlation with the surface zonal wind in the eastern region, but its relationship with the surface meridional wind is insignificant. According to the spatio-temporal distribution of the second mode of the 200 hPa zonal wind, when the intensity of the East Asian upper-level jet is weaker, the surface temperature in the North China Plain is higher, the surface humidity in the northern Tarim Basin is lower, the surface temperature in the region is higher and the surface zonal wind in the eastern part of the basin is weaker, and vice versa.  According to the spatio-temporal distribution of the second mode of the 200 hPa zonal wind, when the intensity of the East Asian upper-level jet is weaker, the surface temperature in the North China Plain is higher, the surface humidity in the northern Tarim Basin is lower, the surface temperature in the region is higher and the surface zonal wind in the eastern part of the basin is weaker, and vice versa.

Relationship between Pollutants and Surface Meteorological Variables in Summer
The correlation coefficients of the surface pollutants including PM 10 , O 3 and PM 2.5 with the daily average data of surface meteorological variables in summer from 2013 to 2018 are shown in Figure 14. The PM 10 , O 3, and PM 2.5 in the North China Plain are negatively correlated with the surface humidity and are significantly positively correlated with the surface temperature, zonal wind and meridional wind. However, the significant regions of the correlations between different pollutants and meteorological variables are different. The PM 2.5 has a significantly negative correlation with the humidity only in the southern part of the North China Plain. The PMs maintain significant positive correlations with the surface temperature only in the northern and southeastern parts of the North China Plain. In addition, these three pollutants are significantly negatively correlated with the surface zonal wind in different areas in the east parts of the North China Plain. That is, when the pollutant concentrations in the North China Plain are higher (lower), the surface humidity in the certain region is lower (higher) correspondingly, the temperature is higher (lower), and the zonal wind and the meridional wind are stronger (weaker).
The correlation coefficients of the surface pollutants including PM10, O3 and PM2.5 with the daily average data of surface meteorological variables in summer from 2013 to 2018 are shown in Figure 14. The PM10, O3, and PM2.5 in the North China Plain are negatively correlated with the surface humidity and are significantly positively correlated with the surface temperature, zonal wind and meridional wind. However, the significant regions of the correlations between different pollutants and meteorological variables are different. The PM2.5 has a significantly negative correlation with the humidity only in the southern part of the North China Plain. The PMs maintain significant positive correlations with the surface temperature only in the northern and southeastern parts of the North China Plain. In addition, these three pollutants are significantly negatively correlated with the surface zonal wind in different areas in the east parts of the North China Plain. That is, when the pollutant concentrations in the North China Plain are higher (lower), the surface humidity in the certain region is lower (higher) correspondingly, the temperature is higher (lower), and the zonal wind and the meridional wind are stronger (weaker).
Both the PM10 and PM2.5 in the Tarim Basin have good heterocorrelations with the surface humidity and zonal wind, and the PMs are significantly positively correlated with the surface temperature only in the west part of the Tarim Basin and have significant negative correlations with the surface meridional wind in the south part of the Tarim Basin. That is, when the concentrations of the PM10 and PM2.5 in the Tarim Basin are higher (lower), the surface humidity in the region is lower (higher) and the zonal wind is weaker (stronger). The surface temperature in the west part of the region increases (decreases) and the surface meridional wind in the south part of the region weakens (strengthens). Both the PM 10 and PM 2.5 in the Tarim Basin have good heterocorrelations with the surface humidity and zonal wind, and the PMs are significantly positively correlated with the surface temperature only in the west part of the Tarim Basin and have significant negative correlations with the surface meridional wind in the south part of the Tarim Basin. That is, when the concentrations of the PM 10 and PM 2.5 in the Tarim Basin are higher (lower), the surface humidity in the region is lower (higher) and the zonal wind is weaker (stronger). The surface temperature in the west part of the region increases (decreases) and the surface meridional wind in the south part of the region weakens (strengthens).
The summer months of 2013-2018 could be divided into the southerly jet month and the northerly jet month, as well as the stronger and weaker jet months according to the time series of the first and second modes of the 200 hPa zonal wind in summer of 2013-2018. In the light of the four classification results, the pollutant concentrations in different jet months in both the North China Plain and Tarim Basin are calculated as shown in Table 3. It can be seen from Table 3 that the concentrations of PM 2.5 , PM 10   The concentrations of PM 2.5 PM 10 in the Tarim Basin can reach 36.30 and 38.88 µg·m −3 , respectively, when the intensity of the East Asian jet is relatively stronger. These loadings are lower than their seasonal means in summer of 2013-2018. The concentrations of PM 2.5 and PM 10 in the Tarim Basin can reach 53.24 and 59.04 µg·m −3 , respectively, when the intensity of the East Asian jet is weaker, which are higher than their seasonal means in summer of 2013-2018.
Combined with the analyses in Section 3.2.2, it can be concluded that the position of the upper-level jet stream in summer may be related to the PM 10 , O 3 and PM 2.5 due to the effects of the surface humidity and the meridional and zonal wind in the corresponding region of North China Plain. When the position of the upper-level jet stream in summer is more northward, the surface humidity is higher, and the meridional and zonal wind is stronger. At this time, the concentrations of three pollutants in North China are all lower, and vice versa. The intensity of the East Asian upper-level jet in summer may have correlations with the PM 10 and PM 2.5 due to the interaction with the surface humidity in the northern part of the Tarim Basin, the surface temperature in the western part, and the surface zonal wind in the eastern part. When the intensity of the East Asian upper-level jet is weaker, the humidity in the northern part of the region is lower, the temperature in the western part is higher, and the zonal wind in the eastern part is weaker. At this time, the concentrations of surface PMs are higher, and vice versa.

Conclusions and Discussion
Based on the NCEP/NCAR daily wind and vertical velocity data, as well as the surface pollutants and meteorological variables data derived from the Science Data Bank, statistical analysis methods were used to study the relationships between the East Asian upper-level jet and the high concentration areas of near-surface air pollutants in summer in this study, and the interaction mechanisms between them are preliminarily discussed. The conclusions are as follows.
(1) In summer, the average position of the East Asian upper-level jet axis is around 40 • N.
The Meanwhile, the intensity of the East Asian upper-level jet may have correlations with the PM 10 and PM 2.5 due to the interaction with the surface humidity in the northern part of the Tarim Basin, the surface temperature in the western part, and the zonal wind in the eastern part. When the intensity of the East Asian upper-level jet is weaker, the humidity in the northern part of the region is lower, the temperature in the western part is lower, the surface zonal wind in the eastern part is weaker and the PM concentration in the Tarim Basin is higher, and vice versa.
Chen et al. [17] used CESM and indicated that the regional anthropogenic aerosol caused the 200 hPa jet stream to weaken and shift southward over East Asia in summer. which is in agreement with our results, despite the different kind of aerosol. Wang et al. [28] found that the sand-dust weather often occurred in Taklimakan Desert in spring and summer. The dust particle also had an influence on the summer atmospheric boundary layer structure in Taklimakan Desert. This result can imply that the upper level jet stream has a connection with surface pollutants in Tarim Basin to some extent. Results here also show some connections between the jet and surface air pollutants in summer. Kerr et al. [21] used the global model to study the influence of the upper-level jet stream position on the surface zonal wind and meridional wind in the mid-latitude region of the northern hemisphere in summer. Their results showed that the influence of the upper-level jet stream position on the surface zonal wind mainly occurred over the sea, while its impact on the surface meridional wind occurred over both the sea and the land. Their finding is slightly different from the conclusion of this paper. The possible reason might be that the range of the study area is different. Further investigations are needed based on the regional numerical models to identify the difference.
In this study, the interactions between meteorological variables and pollutants in the vicinity of pollutant regions are not considered when analyzing the relationships between the concentrations of near-surface air pollutants and meteorological variables. In addition, the research conclusions are all obtained based on statistical methods. The rules revealed in the conclusions and the complex interaction mechanisms between the East Asian upperlevel jet and surface pollutants require further verification and exploration based on the numerical models.