A Simple New Method for Calculating Precipitation Scavenging Effect on Particulate Matter: Based on Five-Year Data in Eastern China

: A “rain-only” method is proposed to ﬁnd out the precipitation effect on particle aerosol removal from the atmosphere, and this method is not only unique and novel but also very simple and can be easily adapted to predict aerosol particle scavenging over any region across the world irrespective of the topographical, orographical, and climatic features. By using this simple method, the inﬂuences of the rain intensity and particle mass concentration on the aerosol scavenging efﬁciency are discussed. The results show that a higher concentration, a higher rain intensity, and a larger particle size lead to a higher scavenging efﬁciency and a higher scavenging rate. The greater the rain intensity, the higher the scavenging efﬁciency. The scavenging efﬁciency of PM 10 by precipitation is better than that of PM 2.5 . When the rain intensity is 10 mm h − 1 , the scavenging efﬁciency of PM 2.5 reaches 5.1 µ g m − 3 h − 1 , and the scavenging efﬁciency of PM 10 reaches 15.8 µ g m − 3 h − 1 . The scavenging rate increases faster when accumulative precipitation is below 15 mm. The scavenging rate has obvious monthly variation, and the scavenging rate of coastal areas is less than that of inland Jiangsu. The growth of the particle mass concentration after precipitation is divided into two stages: the rapid growth stage after precipitation ends, and the slow growth stage about 24 h after precipitation ends.


Introduction
In our previous article, we discussed the adverse meteorological variables (such as precipitation, wind speed and direction, humidity, inversion, and mixing layer height) that affect air pollution and the surface synoptic situation patterns related to air pollution in eastern China, where the threshold values of meteorological elements are summarized [1]. From the previous article, we found that wind speed, RHs, inversion intensity (ITI), height difference in the temperature inversion (ITK), the lower height of temperature inversion (LHTI), and mixed layer height (MLH) in terms of a 25-75% high-probability range were, respectively, within 0.5-3.6 m s −1 , 55-92%, 0.7-4.0 • C 100 m −1 , 42-576 m, 3-570 m, and 200-1200 m. The probability of RPHPDs without rain was above 92% with the daily and hourly precipitation of all RPHPDs below 2.1 mm and 0.8 mm [1]. In this article, We examine aerosol scavenging by precipitation in eastern China. The remainder of this paper is organized as follows: The study area, observations, and analysis methods used are described in Section 2. We analyze precipitation scavenging on aerosols in Section 3. The conclusions are given in Section 4.

Study Area
Jiangsu Province is located at the Yangtze River in eastern China. The region has a long coastline of 954 km. We also chose 17 environmental monitoring stations close to these 17 weather stations. The distribution of meteorological stations and state-controlled environmental protection stations (SCEPSs) in Jiangsu is shown in Figure 1.

Observations
The observation period was from 2013 to 2017, including hourly precipitation, wind speed, wind direction, and PM10 and PM2.5 particulate concentrations. The PM10 and PM2.5 particle monitors used were BAM1020 particle monitors (Met One Instruments INC, Grants Pass, USA) produced by the American company METONE (https://metone.com/products/bam-1020/, accessed on 10 June 2021). The BAM-1020, on an hourly basis, automatically measures and records airborne particulate concentration levels (in micrograms per cubic meter) using the industry-proven principle of beta ray attenuation, which can obtain the PM10 and PM2.5 mass concentrations in the environment in real time.

Analysis Methodology
Precipitation event: A precipitation process starts in the first hour when precipitation reaches at least 0.1 mm. If precipitation in an hour was zero after the beginning of the precipitation process, that hour was recorded as an interrupted hour, and the end of the process appeared when three consecutive precipitation interruptions occurred. The hour before the interrupted hour was recorded as the last hour of the precipitation process. As a result, we obtained 27,219 precipitation processes in total.
Scavenging efficiency (SE): SE is the particle mass concentration change in unit time

Observations
The observation period was from 2013 to 2017, including hourly precipitation, wind speed, wind direction, and PM 10 and PM 2.5 particulate concentrations. The PM 10 and PM 2.5 particle monitors used were BAM1020 particle monitors (Met One Instruments INC, Grants Pass, OR, USA) produced by the American company METONE (https://metone. com/products/bam-1020/, accessed on 10 June 2021). The BAM-1020, on an hourly basis, automatically measures and records airborne particulate concentration levels (in micrograms per cubic meter) using the industry-proven principle of beta ray attenuation, which can obtain the PM 10 and PM 2.5 mass concentrations in the environment in real time.

Analysis Methodology
Precipitation event: A precipitation process starts in the first hour when precipitation reaches at least 0.1 mm. If precipitation in an hour was zero after the beginning of the precipitation process, that hour was recorded as an interrupted hour, and the end of the process appeared when three consecutive precipitation interruptions occurred. The hour before the interrupted hour was recorded as the last hour of the precipitation process. As a result, we obtained 27,219 precipitation processes in total.
Scavenging efficiency (SE): SE is the particle mass concentration change in unit time (t). In an hour with a particle mass concentration CON be f ore before the rain starts and with a particle mass concentration CON a f ter after the rain stops, the SE is expressed as SE = CON a f ter − CON be f ore /t Scavenging rate (SR): SR is the percentage change of particle mass concentration changes. For a precipitation process with a particle mass concentration CON be f ore before the rain starts and a particle mass concentration CON a f ter after the rain stops, we defined SR as SR = CON be f ore − CON a f ter CON be f ore × 100% (1) In some cases, the rain did not remove the particles, but the concentration continued to increase. Therefore, we made a rule that if the SR is positive, it is a positive scavenging process, and if the SR is negative, it is a negative scavenging process (which means the precipitation had a very limited scavenge).

Relationship between Precipitation, Particle Mass Concentration, and SE
First, we investigated potential size effects on the scavenging efficiencies. The figure shows the relationship between the RI and SE. In the distribution of the precipitation intensity, most precipitation intensities are lower than 5 mm/h. A precipitation intensity above 5 mm/h takes a relatively low proportion in the samples. Therefore, for the segment with rainfall less than 1 mm, a 0.2 mm interval is adopted, while for the segment with rainfall greater than 1 mm, a 2 mm interval is adopted. From Figure 2, we can see that when the rain intensity (RI) is less than 0.4 mm h −1 , the SE of PM 2.5 is almost zero, but the SE of PM 10 can reach~2 µg m −3 h −1 . The concentration of PM 2.5 often rises during weak precipitation (RI lower than 0.5 mm h −1 ); when the RI is 7 mm h −1 , the SEs of PM 2.5 and PM 10 are 2.7 and 6.3 µg m −3 h −1 , respectively. The SE is positively correlated with the RI: the greater the RI, the higher the SE. When the RI is 10 mm h −1 , the SE of PM 2.5 reaches 5.1 µg m −3 h −1 , and the SE of PM 10 reaches 15.8 µg m −3 h −1 .
Atmosphere 2021, 12, x FOR PEER REVIEW 4 of 12 Scavenging rate (SR): SR is the percentage change of particle mass concentration changes. For a precipitation process with a particle mass concentration before the rain starts and a particle mass concentration after the rain stops, we defined SR as In some cases, the rain did not remove the particles, but the concentration continued to increase. Therefore, we made a rule that if the SR is positive, it is a positive scavenging process, and if the SR is negative, it is a negative scavenging process (which means the precipitation had a very limited scavenge).

Relationship between Precipitation, Particle Mass Concentration, and SE
First, we investigated potential size effects on the scavenging efficiencies. The figure shows the relationship between the RI and SE. In the distribution of the precipitation intensity, most precipitation intensities are lower than 5 mm/h. A precipitation intensity above 5 mm/h takes a relatively low proportion in the samples. Therefore, for the segment with rainfall less than 1 mm, a 0.2 mm interval is adopted, while for the segment with rainfall greater than 1 mm, a 2 mm interval is adopted. From Figure 2, we can see that when the rain intensity (RI) is less than 0.4 mm h −1 , the SE of PM2.5 is almost zero, but the SE of PM10 can reach ~2 μg m −3 h −1 . The concentration of PM2.5 often rises during weak precipitation (RI lower than 0.5 mm h −1 ); when the RI is 7 mm h −1 , the SEs of PM2.5 and PM10 are 2.7 and 6.3 μg m −3 h −1 , respectively. The SE is positively correlated with the RI: the greater the RI, the higher the SE. When the RI is 10 mm h −1 , the SE of PM2.5 reaches 5.1 μg m −3 h −1 , and the SE of PM10 reaches 15.8 μg m −3 h −1 .

Figure 2.
Relationship between precipitation intensity and scavenging efficiency (SE) (the dashed lines are the fitted curves, the green area is the interquartile span of PM10, the red area is the interquartile span of PM2.5, and the gray area is the overlapping region).
By using functions to fit the rainfall intensity and scavenging efficiency, where 2.5 and 10 are the SEs of precipitation on PM2.5 and PM10, respectively, RI is precipitation, and t is the precipitation duration, we relate the RI and SE as follows: By using functions to fit the rainfall intensity and scavenging efficiency, where SE pm2. 5 and SE pm10 are the SEs of precipitation on PM 2.5 and PM 10 , respectively, RI is precipitation, and t is the precipitation duration, we relate the RI and SE as follows: Atmosphere 2021, 12, 759

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The changes in PM 2.5 and PM 10 caused by precipitation under a stable RI (the precipitation intensity remains unchanged) are as follows: The derivatives of Equations (3) and (4), respectively, are Therefore, when CON pm2.5 or CON pm10 is equal to zero, changes in CON pm2.5 and CON pm10 caused by precipitation reach the maximum values; the corresponding RI reaches 5.8 mm/h and 10.1 mm h −1 , respectively.
Based on the analysis of the 27,219 precipitation processes from 2013 to 2017 in Jiangsu Province, we find that the effect of precipitation is greater on coarse particles than on smaller particles. Figure 3 shows the effect of the particle mass concentration on the SE under different RIs when precipitation processes are classified according to the RI. Higher particle mass concentrations under the same RI and heavy rain under the same particle mass concentration all have a higher SE. The precipitation SE on PM 10 is higher than that of PM 2.5 for the same RI and the same particle mass concentration. The SE is an increasing function of both the RI and the initial concentration. Precipitation has a limited effect on particulate matter and even has no effective clearance when the particle mass concentration is below the thresholds (PM 2.5 below 40 µg m −3 and PM 10 below 60 µg m −3 ). The precipitation SE on the particle is significantly enhanced with the increase in the particle mass concentration. The precipitation SE with an intensity below 0.5 mm h −1 can reach more than 15 µg m −3 h −1 when the concentration of PM 2.5 or PM 10 is above 140 µg m −3 . This also explains why sometimes the particle mass concentration rises after strong precipitation and why sometimes the particle mass concentration decreases after weak precipitation. This is because the SE is not only determined by accumulative precipitation or the RI but also by the two combined. Strong precipitation with a low particle mass concentration may result in a negative clearance effect, and a high particle mass concentration with weak precipitation may lead to a positive SE. This result is similar to the numerical model simulation results, in that the same amount of precipitation may lead to different removal efficiencies of atmospheric aerosols [2]. Jose Nicolás et al. [34] and Yoo et al. [35] also found a higher atmospheric removal efficiency for coarse particles than for fine particles.

Relationship between SR, Precipitation, and Particle Mass Concentration
The scavenging ratio SR indicates precipitation effects on the particle mass concentration. Figure 4 shows that the SR is positively correlated with accumulative precipitation. The data corresponding to the position of 5 mm on the X-axis are the SRs of the precipitation process between 0 and 5 mm; similarly, the position of 10 mm is the average SR of the precipitation process with precipitation of 5-10 mm in Figure 4. From the figure, we can see that it increases faster when accumulative precipitation is below 15 mm and more slowly when accumulative precipitation is above 15 mm. The SR of PM 10 is higher than the SR of PM 2.5 under the same accumulative precipitation, and when accumulative precipitation is above 50 mm, the precipitation SRs of PM 2.5 and PM 10 are about 50% and 60%, respectively. is not only determined by accumulative precipitation or the RI but also by the two combined. Strong precipitation with a low particle mass concentration may result in a negative clearance effect, and a high particle mass concentration with weak precipitation may lead to a positive SE. This result is similar to the numerical model simulation results, in that the same amount of precipitation may lead to different removal efficiencies of atmospheric aerosols [2]. Jose Nicolás et al. [34] and Yoo et al. [35] also found a higher atmospheric removal efficiency for coarse particles than for fine particles.  Atmosphere 2021, 12, x FOR PEER REVIEW 6 of 12

Relationship between SR, Precipitation, and Particle Mass Concentration
The scavenging ratio SR indicates precipitation effects on the particle mass concentration. Figure 4 shows that the SR is positively correlated with accumulative precipitation. The data corresponding to the position of 5 mm on the X-axis are the SRs of the precipitation process between 0 and 5 mm; similarly, the position of 10 mm is the average SR of the precipitation process with precipitation of 5-10 mm in Figure 4. From the figure, we can see that it increases faster when accumulative precipitation is below 15 mm and more slowly when accumulative precipitation is above 15 mm. The SR of PM10 is higher than the SR of PM2.5 under the same accumulative precipitation, and when accumulative precipitation is above 50 mm, the precipitation SRs of PM2.5 and PM10 are about 50% and 60%, respectively. The precipitation effect on the removal of particles is not only related to precipitation but also related to the particle mass concentration before precipitation starts. Figure 5 shows the effect of the particle mass concentration on the SR under different precipitation volumes. We can see that the SR and particle mass concentration before the rain are positively correlated, the arithmetic mean SR of precipitation at any level is above zero while the PM2.5 concentration is higher than 50 μg m −3 , and the average SR of precipitation at almost any level is less than zero while the PM2.5 concentration is lower than 20 μg m −3 (which means precipitation had a very limited scavenge). In addition, the SR increases faster with the increase in the particle mass concentration when the particle mass concentration is below 50 μg m −3 , and it increases more slowly when the particle mass concentration is higher than 50 μg m −3 .  The precipitation effect on the removal of particles is not only related to precipitation but also related to the particle mass concentration before precipitation starts. Figure 5 shows the effect of the particle mass concentration on the SR under different precipitation volumes. We can see that the SR and particle mass concentration before the rain are positively correlated, the arithmetic mean SR of precipitation at any level is above zero while the PM 2.5 concentration is higher than 50 µg m −3 , and the average SR of precipitation at almost any level is less than zero while the PM 2.5 concentration is lower than 20 µg m −3 (which means precipitation had a very limited scavenge). In addition, the SR increases faster with the increase in the particle mass concentration when the particle mass concentration is below 50 µg m −3 , and it increases more slowly when the particle mass concentration is higher than 50 µg m −3 .
Assuming that the SRs of PM 2.5 and PM 10 are, respectively, SR pm2.5 and SR pm10 , the particulate matter concentration before precipitation is C, and the process of rainfall is P, the quadric surface fitting is performed on the segmentation statistical results in Figure 5 (not for all samples, but for the classification analysis of samples as shown in Figure 5), and the results are as follows: SR pm10 = −85.04 Assuming that the SRs of PM2.5 and PM10 are, respectively, 2.5 and 10 , the particulate matter concentration before precipitation is C, and the process of rainfall is P, the quadric surface fitting is performed on the segmentation statistical results in Figure 5 (not for all samples, but for the classification analysis of samples as shown in Figure 5), and the results are as follows: The Adj. R-Square of the two equations is 0.87 and 0.90, respectively, which means that the deviation between the fitting data and the statistical data is small, and the fitting effect is good.

Region Difference of SR
In this section, it is discussed whether there are any differences between different regions for the precipitation, RI, particle mass concentration, and SR in Jiangsu. Figure 6 shows the relationship among precipitation, particle mass concentration, and SR in Jiangsu. The average concentration of PM2.5 in the 10 inland cities was 51.0 μg m −3 , and the average concentration of PM10 was 80.5 μg m −3 , higher than the average concentration of PM2.5 in the coastal areas, which was 40.4 μg m −3 , and the average concentration of PM10, which was 63.0 μg m −3 . The SR of coastal areas is less than the SR of inland Jiangsu, which is consistent with the distribution of the particle mass concentration because the inland concentration is higher than the coastal concentration. However, precipitation is also an The Adj. R-Square of the two equations is 0.87 and 0.90, respectively, which means that the deviation between the fitting data and the statistical data is small, and the fitting effect is good.

Region Difference of SR
In this section, it is discussed whether there are any differences between different regions for the precipitation, RI, particle mass concentration, and SR in Jiangsu. Figure 6 shows the relationship among precipitation, particle mass concentration, and SR in Jiangsu. The average concentration of PM 2.5 in the 10 inland cities was 51.0 µg m −3 , and the average concentration of PM 10 was 80.5 µg m −3 , higher than the average concentration of PM 2.5 in the coastal areas, which was 40.4 µg m −3 , and the average concentration of PM 10 , which was 63.0 µg m −3 . The SR of coastal areas is less than the SR of inland Jiangsu, which is consistent with the distribution of the particle mass concentration because the inland concentration is higher than the coastal concentration. However, precipitation is also an important factor. The increase in the RI and mean precipitation accumulation was beneficial to the increase in the SR. The SR in coastal areas is relatively low because the concentration of particulate matter is lower than that in inland areas. The higher the precipitation, the higher the SR and SE. Therefore, the precipitation distribution center in south Jiangsu shows the SR is higher in southwest Jiangsu. Table 1. Relationships between precipitation, RI, particle mass concentration, and SR in Jiangsu from 2013 to 2017 (data are consistent with Figure 6). important factor. The increase in the RI and mean precipitation accumulation was beneficial to the increase in the SR. The SR in coastal areas is relatively low because the concentration of particulate matter is lower than that in inland areas. The higher the precipitation, the higher the SR and SE. Therefore, the precipitation distribution center in south Jiangsu shows the SR is higher in southwest Jiangsu. Figure 6. Relationships between precipitation, RI, particle mass concentration, and SR in Jiangsu from 2013 to 2017 (the data in Table 1). (The average PM concentration is based on the mean hourly particulate concentration of all stations in each city over a five-year period. The average values of precipitation and the precipitation rate are the average values of all precipitation processes in the region in 5 years. Three colors in the map: red, the southern inland area; blue, coastal areas; and orange, the northern inland area.) Table 1. Relationships between precipitation, RI, particle mass concentration, and SR in Jiangsu from 2013 to 2017 (data are consistent with Figure 6).  Figure 6. Relationships between precipitation, RI, particle mass concentration, and SR in Jiangsu from 2013 to 2017 (the data in Table 1). (The average PM concentration is based on the mean hourly particulate concentration of all stations in each city over a five-year period. The average values of precipitation and the precipitation rate are the average values of all precipitation processes in the region in 5 years. Three colors in the map: red, the southern inland area; blue, coastal areas; and orange, the northern inland area.)

Concentration of PM 10
In this section, it is discussed why the SR of PM 2.5 in the northern coastal area of Jiangsu is higher than that in the southern coastal area though the PM 2.5 concentration and average precipitation in the northern coastal area are less than those in the southern coastal area. This is due to the influence of the RI, which is larger in the northern coastal area. The SR of PM 10 is less affected by the RI compared with the SR of PM 2.5 . Therefore, the SR of Atmosphere 2021, 12, 759 9 of 12 PM 10 in southeast Jiangsu is higher than that in the northeast region in spite of the larger RI in the northeast. Therefore, the SR of PM 2.5 is more affected by the RI. Precipitation with a low RI has almost no SE on PM 2.5 . Therefore, continuous drizzle can cause a large amount of precipitation over a long time period but cannot effectively reduce the concentration of PM 2.5 . Since low-RI precipitation has some SE on PM 10 , more precipitation (meaning high-RI precipitation or continuous drizzle) can reduce the PM 10 concentration effectively.

Change in Particle Mass Concentration after Rain
The concentration of particulate matter in the atmosphere depends on the balance between emissions and atmosphere self-cleaning. When the emission source is not changed and the weather system is stable, the particle mass concentration should be around the equilibrium state. In the absence of external transport, the PM concentration in the atmosphere depends on environmental emissions and dry or wet deposition. In a relatively short period of time, it can be considered that environmental emissions before and after precipitation do not change much; therefore, the impact of precipitation on the particle concentration can be analyzed. When the effects of dry deposition and environmental emissions cancel out, the concentration of particulate matter stabilizes, which is the equilibrium state. Then, how does the particle mass concentration approach the equilibrium state after a precipitation process?
The change in the particle mass concentration within 168 h after precipitation ends was analyzed using 6882 processes. The results are shown in Figure 7. The average particle mass concentration is low at the end of precipitation, being about 50 µg m −3 for PM 2.5 and 70 µg m −3 for PM 10 . The particle mass concentration increases gradually after the end of precipitation. The average concentrations of PM 2.5 and PM 10 168 h after precipitation are more than 65 and 115 µg m −3 , respectively. The growth of the particle mass concentration after precipitation was divided into two stages: 0-24 h after the end of precipitation is the rapid growth stage, and 24 h after the end of precipitation is the slow growth stage. The concentrations of PM 2.5 and PM 10 increase at 0.46 and 1.35 µg m −3 per hour during the rapid growth phase, while they increase at 0.07 and 0.51 µg m −3 , respectively, in the slow growth stage.
In this section, it is discussed why the SR of PM2.5 in the northern coastal area of Jiangsu is higher than that in the southern coastal area though the PM2.5 concentration and average precipitation in the northern coastal area are less than those in the southern coastal area. This is due to the influence of the RI, which is larger in the northern coastal area. The SR of PM10 is less affected by the RI compared with the SR of PM2.5. Therefore, the SR of PM10 in southeast Jiangsu is higher than that in the northeast region in spite of the larger RI in the northeast. Therefore, the SR of PM2.5 is more affected by the RI. Precipitation with a low RI has almost no SE on PM2.5. Therefore, continuous drizzle can cause a large amount of precipitation over a long time period but cannot effectively reduce the concentration of PM2.5. Since low-RI precipitation has some SE on PM10, more precipitation (meaning high-RI precipitation or continuous drizzle) can reduce the PM10 concentration effectively.

Change in Particle Mass Concentration after Rain
The concentration of particulate matter in the atmosphere depends on the balance between emissions and atmosphere self-cleaning. When the emission source is not changed and the weather system is stable, the particle mass concentration should be around the equilibrium state. In the absence of external transport, the PM concentration in the atmosphere depends on environmental emissions and dry or wet deposition. In a relatively short period of time, it can be considered that environmental emissions before and after precipitation do not change much; therefore, the impact of precipitation on the particle concentration can be analyzed. When the effects of dry deposition and environmental emissions cancel out, the concentration of particulate matter stabilizes, which is the equilibrium state. Then, how does the particle mass concentration approach the equilibrium state after a precipitation process?
The change in the particle mass concentration within 168 h after precipitation ends was analyzed using 6882 processes. The results are shown in Figure 7. The average particle mass concentration is low at the end of precipitation, being about 50 μg m −3 for PM2.5 and 70 μg m −3 for PM10. The particle mass concentration increases gradually after the end of precipitation. The average concentrations of PM2.5 and PM10 168 h after precipitation are more than 65 and 115 μg m −3 , respectively. The growth of the particle mass concentration after precipitation was divided into two stages: 0-24 h after the end of precipitation is the rapid growth stage, and 24 h after the end of precipitation is the slow growth stage. The concentrations of PM2.5 and PM10 increase at 0.46 and 1.35 μg m −3 per hour during the rapid growth phase, while they increase at 0.07 and 0.51 μg m −3 , respectively, in the slow growth stage.  In this section, the reason for the growth rate of the particle mass concentration within 24 h after precipitation being greater than that after 24 h is discussed.
The factors that influence air pollution include internal factors (emission sources) and external factors (such as precipitation, wind speed and direction, humidity, inversion, and mixing layer height [36]) and were discussed in the previous article [1], showing that the threshold value is one of the criteria of pollution intensity. Analysis of the average wind speed within 168 h after the rain starts shows that the wind speed within 24 h after precipitation is greater than that after 24 h; the high wind is not conducive to the increase in the particle mass concentration. Meanwhile, emission sources are usually stable and can be considered as constant during the precipitation process. For a period of time after the end of precipitation, if the emission source is regarded as constant, the PM concentration change depends on the dry deposition and environmental emissions. When the concentration of particulate matter is high, the dry deposition effect is strong, exceeding the environmental emission, and the PM concentration decreases with time. When the PM concentration is low, the dry deposition effect is lower than that of environmental emissions, and the PM concentration increases with time. When the effects of dry deposition and environmental emissions cancel out, the concentration of particulate matter stabilizes, which is the equilibrium state. When the actual particle concentration is lower than the equilibrium concentration, dry deposition caused by the effect of the particle concentration decreases below the environmental emissions, which could lead to an increase in the particle concentration effect, where the PM concentration will increase to approach the equilibrium concentration. When there is a greater difference between the actual concentration and the equilibrium concentration, dry deposition caused by the effect of the PM concentration decreases below the environmental emissions, which could lead to an increase in the particle concentration effect, causing a greater particle concentration change over time. When the particle mass concentration approaches the equilibrium state, the closer it is to the equilibrium point, the more slowly it moves toward the equilibrium point. The particle mass concentration is far from the equilibrium point at the end of precipitation; therefore, the growth rate is relatively large. In the case of no rain within 168 h after the previous precipitation process, the weather is often sunny, and the particle mass concentration approaches the equilibrium state; therefore, the particle growth rate is slowed down significantly. Here, we choose the cases where there were more than 10 consecutive days without precipitation after the studied precipitation process. Additionally, we analyze particle concentration changes after the precipitation, in order to determine the above equilibrium concentration. According to the results of the 10-day or longer continuous observation, the arithmetic average concentrations of PM 2.5 and PM 10 are finally stabilized at about 80 and 120 µg m −3 , which can be considered as the equilibrium points for PM 2.5 and PM 10 .

Conclusions
Particle air pollution scavenging was jointly affected by the wind diffusion effect and precipitation scavenging effect. Precipitation is the most important factor in the balance of air pollution in ecosystems.
Deducing the threshold values of precipitation scavenging that were conducive to the pollution accumulation was very necessary to achieve better control of air pollution. This study provides a simple and quantitative way to establish a "rain-only" method on particle aerosol removal from the atmosphere. Such a simple methodology can be easily adapted to predict aerosol particle scavenging over any region across the world irrespective of the topographical, orographical, and climatic features. The threshold values of the precipitation intensity and duration below and above which aerosol scavenging behaves differently were developed.
A higher concentration, larger RI, and larger particle size lead to a higher SE. The greater the RI, the higher the SE, meaning the precipitation SE on PM 10 is better than that on PM 2.5 . RI = 8.0 mm h −1 has the best SE on PM 2.5 , and RI = 11.3 mm h −1 has the best SE on PM 10 when the total precipitation is fixed. The SR increases faster when accumulative precipitation is below 15 mm and more slowly when accumulative precipitation is above 15 mm. When accumulative precipitation is above 50 mm, the precipitation SRs of PM 2.5 and PM 10 are about 50% and 60%, respectively. The SR of coastal areas is less than that of inland Jiangsu. In the future, if the regional PM 2.5 concentrations continue to decrease, the threshold values would remain applicable. The growth of the particle mass concentration after precipitation was divided into two stages: the slow growth stage about 24 h after the end of precipitation, and the rapid growth stage 24 h after the end of precipitation. The concentrations of PM 2.5 and PM 10 increase at 0.46 and 1.35 µg m −3 per hour, respectively, during the rapid growth phase, while they increase at 0.07 and 0.51 µg m −3 , respectively, in the slow growth stage.
The methods in this study just studied the "rain-only" effect on particle aerosol removal from the atmosphere, and the influence of wind was not discussed. The present long-term and large datasets are able to quantitatively predict aerosol scavenging at any part if only the rain rate and duration are available.