2.1 Measurements and chemical analysis

Daily PM_2.5 sampling was conducted on 210 days between October 2012 and June 2014 at the Korea Institute of Science and Technology (KIST) site in northeastern Seoul (37.603^∘ N, 127.047^∘ E; 58 m above sea level; Fig. S1). PM_2.5 samples for determining inorganic and carbonaceous species were collected on 47 mm Teflon filters (Pall Corporation, Port Washington, NY, USA) with a Teflon-coated aluminum cyclone (URG Corporation, Chapel Hill, NC, USA) at a flow rate of 16.7 L min⁻¹ and on 203×254 mm quartz fiber filters (Whatman, Maidstone, UK) with a high-volume air sampler (flow rate of 1000 L min⁻¹; Andersen Instruments, Atlanta, GA, USA), respectively.

The concentrations of inorganic ions (${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, Cl⁻, ${\mathrm{NH}}_{\mathrm{4}}^{+}$, K⁺, Ca²⁺, Na⁺, and Mg²⁺) were measured using a 2000i/SP ion chromatograph (Dionex, Sunnyvale, CA, USA) after sonicating the Teflon filter sample for 30 min in a mixture of 0.5 mL of ethanol and 14.5 mL of distilled deionized water. Using a piece of the quartz fiber filter sample (10×15 mm), the concentrations of organic carbon (OC) and elemental carbon (EC) were measured using a thermal–optical carbon aerosol analyzer (Sunset Laboratory, Tigard, OR, USA) based on National Institute for Occupational Safety and Health (NIOSH) method 5040 (Birch and Cary, 1996). We also identified 17 n-alkanes (C₂₀–C₃₆), 15 polycyclic aromatic hydrocarbons (PAHs; C₁₄–C₂₄), 19 monocarboxylic acids (C₆–C₂₀), 19 dicarboxylic acids (C₃–C₁₁), and 10 sugars (C₅–C₆ and C₁₂) using the extract from one half of the quartz fiber filter sample and a 7890A gas chromatograph (Hewlett Packard, Palo Alto, CA, USA) coupled to a 5975C mass selective detector (Agilent, Santa Clara, CA, USA). The OM∕OC ratios derived from the measured OM and OC concentrations were used to estimate the total OM concentration. The organic compounds identified in this study constitute ∼5 % of the total OM. The analytical procedures used herein are described in detail elsewhere (Seo et al., 2017; Kim et al., 2018). In this study, out of 210 sampling days, 118 daily data that include not only inorganic species but also OM based on the identified organic compounds' information were selected and utilized (Fig. S2).

Note that the PM_2.5 sampling on a Teflon filter for inorganic ions was conducted without either a denuder or backup filters, and thus there could be potential sampling artifacts in the results, particularly negative artifacts in semi-volatile ammonium nitrate (Ashbaugh and Eldred, 2004; Chow et al., 2005). Nie et al. (2010) reported that summertime nitrate loss on a Teflon filter from the un-denuded filter sampling without backup filters is ∼75 % at lower nitrate concentrations (<10 µg m⁻³) but only ∼10 % at higher nitrate concentrations (>10 µg m⁻³) due to the formation of particle cake. Considering small evaporative loss in the cold season and the high nitrate concentration in Seoul, we expected small to moderate sampling errors in this study. Sensitivity tests considering potential ammonium nitrate loss from the filter samples show that the assumption of 20 % nitrate loss for the high concentrations with low-temperature groups and 50 % nitrate loss for the low concentrations with moderate-temperature groups does not change our conclusion (Fig. S3).

The hourly concentrations of SO₂, NO₂, CO, O₃, and PM₁₀ at 34 air quality monitoring sites in Seoul (Fig. S1) provided by the Korea Ministry of Environment were averaged over all sites for each day to obtain representative daily concentrations of each species for Seoul (Korea Environment Corporation, 2019). The hourly meteorological data of temperature, RH, wind speed, and solar irradiance at the Seoul weather station (37.571^∘ N, 126.966^∘ E) managed by the Korea Meteorological Administration (KMA) were averaged for each day and used in our analysis (KMA, 2019). Boundary layer height (BLH) was derived from the European Centre for Medium-Range Weather Forecasts Reanalysis Interim (ERA-Interim) data (Dee et al., 2011; http://apps.ecmwf.int/datasets/data/interim-full-daily/, last access: 23 October 2019) at a grid point in Seoul (37.5^∘ N, 127.0^∘ E).

2.2 Categorization of measurements

To categorize the daily measurements according to (1) local atmospheric conditions (stagnation or ventilation) and (2) regional impact (transport of pollutants from upwind source area), we used the 72 h backward trajectories from 500 m above the sampling site, obtained with the Hybrid Single-Particle Lagrangian Integrated Trajectory (HYSPLIT) model (https://ready.arl.noaa.gov; Stein et al., 2015) for every hour of each measurement day. We defined a local source area (Seoul metropolitan area) and two major upwind source areas in China (North China Plain and Yangtze River Delta) based on the satellite tropospheric NO₂ column density distribution (Fig. 1a) and calculated the average residence time of daily 24 trajectories in the Seoul metropolitan area (t_SMA) and the two source areas in China (t_CHN). The daily average residence time in each area shows different source characteristics such as the smaller sulfur-to-nitrogen emission ratio in Seoul (∼0.06; 4.5 kt of SO_x and 71.1 kt of NO_x in 2010; NIER, 2018) compared with that of the Jing–Jin–Ji region in the North China Plain (∼0.71; 2010 kt of SO₂ and 2830 kt of NO_x in 2010; Li et al., 2017). For example, t_CHN is highly correlated not only with particulate ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ concentrations but also with their precursor (SO₂ and NO₂) concentrations, while t_SMA has statistically significant correlation only with NO₂ concentration (Fig. S4).

Figure 1(a) Tropospheric NO₂ column density obtained from the Ozone Monitoring Instrument (OMI) onboard the EOS-Aura satellite, averaged for 2012–2014, and the major anthropogenic emission areas defined in this study (North China Plain, NCP: 33–41^∘ N, 112–121^∘ E; Yangtze River Delta, YRD: 30–33^∘ N, 117–122^∘ E; and Seoul metropolitan area, SMA; 36.5–38.5^∘ N, 126–128^∘ E). (b–e) Trajectory frequency (number of endpoints in each $\mathrm{1}{}^{\circ }\times \mathrm{1}{}^{\circ }$ grid cell per number of trajectories, %) derived from the HYSPLIT 72 h backward trajectories obtained 500 m above the Korea Institute of Science and Technology (KIST) site and average chemical compositions of particulate matter under 2.5 µm in diameter (PM_2.5) for the (b) “local ventilation with no regional transport” (V-nT) group, (c) “local stagnation with no regional transport” (S-nT) group, (d) “local ventilation with regional transport” (V-T) group, and (e) “local stagnation with regional transport” (S-T) group. Seoul is marked with a solid red circle.

Since the medians of both t_SMA (for all measurement days) and t_CHN (for the measurement days with t_CHN≠0 h) were ∼6 h, we applied 6 h as a reference trajectory residence time to categorize daily measurement data into relatively stronger and weaker influences through the local stagnation in the Seoul metropolitan area (with t_SMA) and the regional transport from China (with t_CHN). The measurement days were classified into one of four groups and summarized in Table 1: (i) “local ventilation with no regional transport” (V-nT), in which the trajectories did not originate from the source areas in China and were also not stagnant in the Seoul metropolitan area (t_SMA<6 h and t_CHN=0 h; n=9 d); (ii) “local stagnation with no regional transport” (S-nT), in which the trajectories did not originate from the source areas in China but were stagnant in the Seoul metropolitan area (t_SMA≥6 h and t_CHN=0 h; n=15 d); (iii) “local ventilation with regional transport” from the Chinese source area (V-T), in which the trajectories originated from the source areas in China but were not stagnant in the Seoul metropolitan area (t_SMA<6 h and t_CHN≥6 h; n=15 d); and (iv) “local stagnation with regional transport” from the Chinese source area (S-T), in which the trajectories originated from the source areas in China and were also stagnant in the Seoul metropolitan area (t_SMA≥6 h and t_CHN≥6 h; n=21 d). The trajectory density distribution in the North China Plain and Yangtze River Delta areas were characterized for each group, with few trajectories for the no regional-transport (V-nT and S-nT) groups but relatively dense trajectories for the regional-transport (V-T and S-T) groups (Fig. 1b–d).

Table 1List of four categorized groups of daily PM_2.5 measurements in this study.

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Despite the various potential factors like emissions, atmospheric chemistry, and meteorology that can affect the gas and particulate air quality, the simple categorization according to the residence time of backward trajectories could reveal different characteristics in chemical species and meteorological factors associated with the local stagnation and the regional transport of air pollutants. For example, the average concentrations of primary gaseous pollutants (SO₂, NO₂, and CO) of the “local stagnation with regional transport” (S-T) group are significantly higher than those of the “local stagnation with no regional transport” (S-nT) group (p≤0.001), although average local meteorological factors between the two groups do not show significant differences (Table 2 and Figs. 2 and 3). On the other hand, the lower wind speed and shallower BLH were seen in the local stagnation (S-T and S-nT) groups compared with the local-ventilation (V-T and V-nT) groups (Fig. 2), and the “local stagnation with regional transport” (S-T) group shows significantly higher levels of SO₂, NO₂, and CO in comparison with the “local ventilation with regional transport” (V-T) group, probably related to accumulation in the stagnant condition. Note that although the present study used a part of total daily data for which OM concentrations are available (n=118), composite averages and differences in meteorological variables and air pollutant concentrations among the four categorized groups using the total daily data including the OM-unavailable dates (n=210) showed the same characteristics as shown in Figs. 2 and 3 (Fig. S5).

Table 2The average and standard deviation of PM_2.5 chemical composition, meteorological factors, related gas concentrations, thermodynamic model results and gas-particle partitioning ratios, and mass concentration ratios to wet PM_2.5 (PM_{2.5  wet}) for the “local ventilation with no regional transport” (V-nT) group, the “local stagnation with no regional transport” (S-nT) group, the “local ventilation with regional transport” (V-T) group, and the “local stagnation with regional transport” (S-T) group and p values derived from Welch's t test for the composite differences between the S-T and S-nT groups and between the S-T and V-T groups.

^a Reanalysis data from the ERA-Interim at 37.5^∘ N, 127.0^∘ E. ^b Statistically reconstructed data based on Phan et al. (2013). T: temperature; RH: relative humidity;
WS: wind speed; SI: solar irradiance; BLH: boundary layer height; EC: elemental carbon; OM: organic matter; W_i: aerosol liquid water (ALW) content associated with inorganic species; W_o: ALW content associated with OM; OC: organic carbon; SOR: sulfur oxidation ratio; ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$): nitrate partitioning ratio; ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$): ammonium partitioning ratio.

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Figure 2Averages and confidence intervals at 95 % of (a) temperature (T), (b) relative humidity (RH), (c) wind speed (WS), and (d) boundary layer height (BLH) for the six case groups categorized by the ranges of the average daily residence time of backward trajectories in the Seoul metropolitan area (t_SMA) and in the North China Plain and Yangtze River Delta (t_CHN).

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Figure 3Averages and confidence intervals at 95 % of daily average concentrations of (a) SO₂, (b) NO₂, (c) O₃, (d) CO, and (e) PM₁₀, together with (f) PM_2.5 measured at the KIST site in this study (dry PM_2.5) for the six case groups categorized by ranges of the average daily residence time of backward trajectories in the Seoul metropolitan area (t_SMA) and in the North China Plain and Yangtze River Delta (t_CHN).

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2.3 Prediction of ALW content and pH

The ISORROPIA II thermodynamic model was run in forward mode to estimate ALW content associated with inorganic species, pH, and the equilibrium gas–particle partitioning based on the daily PM_2.5 ionic compositions, RH, and temperature. ISORROPIA II uses total (gas- plus aerosol-phase) measurements as inputs, under the metastable assumption (no solid precipitates). Recent validation studies demonstrate that the forward mode is influenced less by measurement errors and gives a more accurate pH than the reverse mode, which uses only the aerosol-phase composition as an input (Hennigan et al., 2015; Song et al., 2018).

The forward mode of ISORROPIA II requires the total NH₃ (gas-phase NH₃ plus particulate ${\mathrm{NH}}_{\mathrm{4}}^{+}$), total HNO₃ (HNO₃ plus particulate ${\mathrm{NO}}_{\mathrm{3}}^{-}$), and total Cl (gas-phase HCl plus particulate Cl⁻) concentrations, as well as the particulate ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, K⁺, Ca²⁺, Na⁺, and Mg²⁺ concentrations. However, the ambient NH₃, HNO₃, and HCl data were not available for this study. To overcome this problem with the input data, we used statistically reconstructed NH₃ data and then estimated HNO₃ using a thermodynamic model.

Firstly, the daily NH₃ concentrations in Seoul from January 2012 to December 2014 were reconstructed using the statistical characteristics of a year-long record of NH₃ at the Gwangjin site (37.545^∘ N, 127.096^∘ E) in Seoul for the preceding year (346 d between September 2010 and August 2011; Phan et al., 2013). There were small interannual changes in the estimated NH₃ emission in Seoul (Fig. S6; NIER, 2018), and the two sites both share similar environments located downwind from the downtown core under the prevailing westerlies and surrounded by residential and small urban green areas (Fig. S1). Therefore, we assumed that the statistical characteristics of both sites and periods would be similar despite the temporal gap (∼1–3 years) and spatial distance (∼7.8 km) between this study and Phan et al. (2013). We built a multiple linear regression model of NH₃ that retains statistical characteristics of the measured NH₃ such as the annual average and standard deviation of 10.9±4.25 ppb and the significant linear correlations (p<0.05) with temperature, RH, wind speed, and SO₂, NO₂, and CO concentrations (Text S1 and Table S1 in the Supplement). The reconstructed NH₃ concentration is seasonally high during the warm season as reported by Phan et al. (2013) and shows high peaks on the polluted days with stagnant condition in the cold season (Fig. S7).

In the next step, the ISORROPIA II calculation was performed, using the reconstructed NH₃ and measured ${\mathrm{NH}}_{\mathrm{4}}^{+}$ as the total equivalent NH₃, and the measured ${\mathrm{NO}}_{\mathrm{3}}^{-}$ alone as the total HNO₃, to estimate the HNO₃–${\mathrm{NO}}_{\mathrm{3}}^{-}$ partitioning ratio. Then, using both the measured ${\mathrm{NO}}_{\mathrm{3}}^{-}$ and the ratio between the HNO₃ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ predicted from the initial result, we estimated the ambient HNO₃. Note that we regarded the ${\mathrm{HNO}}_{\mathrm{3}}/{\mathrm{NO}}_{\mathrm{3}}^{-}$ ratio as approximately independent of the total HNO₃. Although the nitrate partitioning depends on temperature, ALW content, and pH in general, the ${\mathrm{HNO}}_{\mathrm{3}}/{\mathrm{NO}}_{\mathrm{3}}^{-}$ ratio is affected only by pH because both temperature and ALW are independent variables in this step. In the existence of excess NH₃ as we assumed for Seoul (∼10 ppb at the first step), changes in pH by total HNO₃ are limited owing to the buffering effect of NH₃–${\mathrm{NH}}_{\mathrm{4}}^{+}$ partitioning (Weber et al., 2016; Guo et al., 2018; Lim et al., 2020). The pH, nitrate partitioning ratio [ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) = ${\mathrm{NO}}_{\mathrm{3}}^{-}/({\mathrm{HNO}}_{\mathrm{3}}+{\mathrm{NO}}_{\mathrm{3}}^{-})$], and the ammonium partitioning ratios [ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) = ${\mathrm{NH}}_{\mathrm{4}}^{+}/({\mathrm{NH}}_{\mathrm{3}}+{\mathrm{NH}}_{\mathrm{4}}^{+})$] from the ISORROPIA simulations with and without gas-phase HNO₃ information show negligible differences to each other (Fig. 4d–f), unlike the significant role of additional NH₃ information in increasing pH and ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) and decreasing ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) (Fig. 4a–c).

Finally, we repeated the ISORROPIA simulation with both total NH₃ and total HNO₃ estimated from the previous steps. Here we did not consider HCl–Cl⁻ partitioning because the Cl⁻ fraction in dry PM_2.5 (∼1 % on average) is significantly smaller than the ${\mathrm{NO}}_{\mathrm{3}}^{-}$ and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ fractions (∼18 % and ∼12 % on average, respectively).

Figure 4Comparisons of the predicted pH, nitrate partitioning ratio $\left[\mathit{\epsilon }\right({\mathrm{NO}}_{\mathrm{3}}^{-})={\mathrm{NO}}_{\mathrm{3}}^{-}/({\mathrm{HNO}}_{\mathrm{3}}+{\mathrm{NO}}_{\mathrm{3}}^{-}\left)\right]$, and ammonium partitioning ratio $\left[\mathit{\epsilon }\right({\mathrm{NH}}_{\mathrm{4}}^{+})={\mathrm{NH}}_{\mathrm{4}}^{+}/({\mathrm{NH}}_{\mathrm{3}}+{\mathrm{NH}}_{\mathrm{4}}^{+})]$ between (a–c) the simulation without gas-phase NH₃ and HNO₃ information (using ${\mathrm{NH}}_{\mathrm{4}}^{+}$ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ as the total NH₃ and total HNO₃; Simulation 1) and the simulation with reconstructed NH₃ (using NH₃ + ${\mathrm{NH}}_{\mathrm{4}}^{+}$ as the total NH₃ but only ${\mathrm{NO}}_{\mathrm{3}}^{-}$ as the total HNO₃; Simulation 2) and between (d–f) Simulation 2 and the simulation with both estimated gas-phase NH₃ and HNO₃ information (this study; Simulation 3). Filled circles in light blue, light green, light yellow, and light red colors represent daily data and belong to the “local ventilation with no regional transport” (V-nT) group, “local stagnation with no regional transport” (S-nT) group, “local ventilation with regional transport” (V-T) group, and “local stagnation with regional transport” (S-T) group, respectively. Gray solid lines indicate a 1-to-1 relationship.

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Although there are uncertainties in the reconstructed NH₃ and HNO₃ due to lack of direct measurements, their impact on the estimation of inorganic ALW and particle pH is small enough to utilize them for the thermodynamic analysis in this study. The good agreement between the predicted and statistically reconstructed NH₃ concentrations (R²∼0.95), as well as between the predicted and measured ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ concentrations (R²>0.95; Fig. S8), ensures small errors in water contents of individual inorganic species. Since water uptake by inorganic aerosol in ISORROPIA II is based on the Zdanovskii–Stokes–Robinson (ZSR) mixing rule (Stokes and Robinson, 1966), which approximates the water content of a mixture as a sum of water contents of individual salts at the same RH (Fountoukis and Nenes, 2007), the expected error in W_i induced by potential errors in NH₃ and HNO₃ would also be small. Regarding pH, the buffering effect of semi-volatile NH₃ partitioning reduces the sensitivity of pH to excess NH₃ in the NH₃-rich conditions like Seoul (Weber et al., 2016; Guo et al., 2018; Lim et al., 2020). We conducted ISORROPIA simulations with various NH₃ levels (0–50 ppb) applied to all the measurement days as fixed values to further explore the sensitivity of pH, ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$), and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) to NH₃. Good correlations between results from the daily varied-NH₃ simulation and the fixed-NH₃ simulations show that potential errors induced by the estimation of daily NH₃ levels will be small if NH₃ concentrations are nonzero (Fig. 5a, c, and e). The slopes of pH, ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$), and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) curves to the increase in fixed-NH₃ level become gradually flat at over 5 ppb (Fig. 5b, d, and f), and this indicates that the potential errors in reconstructed NH₃ will not significantly change the results in this study.

Figure 5Sensitivity of (a–b) predicted pH, (c–d) nitrate partitioning ratio $\left[\mathit{\epsilon }\right({\mathrm{NO}}_{\mathrm{3}}^{-})={\mathrm{NO}}_{\mathrm{3}}^{-}/({\mathrm{HNO}}_{\mathrm{3}}+{\mathrm{NO}}_{\mathrm{3}}^{-}\left)\right]$, and (e–f) ammonium partitioning ratio $\left[\mathit{\epsilon }\right({\mathrm{NH}}_{\mathrm{4}}^{+})={\mathrm{NH}}_{\mathrm{4}}^{+}/({\mathrm{NH}}_{\mathrm{3}}+{\mathrm{NH}}_{\mathrm{4}}^{+}\left)\right]$ to gas-phase ammonia (NH₃) concentrations. (a, c, e) Comparisons between the simulation in this study (using the daily reconstructed NH₃ concentrations) and the simulations with the various fixed-NH₃ levels (colored dots in gray, blue, green, yellow, and red for 0, 5, 10, 20, and 40 ppb, respectively). Values in round brackets are the R-squared values of the linear regressions. Gray solid lines indicate a 1-to-1 relationship. (b, d, f) Average (solid circles) and standard deviation (vertical bars) of pH, $\mathit{\epsilon }\left({\mathrm{NO}}_{\mathrm{3}}^{-}\right)$, and $\mathit{\epsilon }\left({\mathrm{NH}}_{\mathrm{4}}^{+}\right)$ for the “local ventilation with no regional transport” (V-nT) group (light blue), “local stagnation with no regional transport” (S-nT) group (light green), “local ventilation with regional transport” (V-T) group (light yellow), and “local stagnation with regional transport” (S-T) group (light red) with respect to the various fixed-NH₃ levels from 0 to 50 ppb. Averages and standard deviations of the reconstructed NH₃ concentrations and obtained pH, $\mathit{\epsilon }\left({\mathrm{NO}}_{\mathrm{3}}^{-}\right)$, and $\mathit{\epsilon }\left({\mathrm{NH}}_{\mathrm{4}}^{+}\right)$ for the V-nT, S-nT, V-T, and S-T groups are represented as blue, green, yellow, and red diamonds with horizontal and vertical bars.

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Since ALW content associated with OM (W_o) is not considered in ISORROPIA II, we estimated it according to κ-Köhler theory and the ZSR mixing rule (Nguyen et al., 2015, and references therein) using the following equation:

where V_o is the volume of OM (µm³ cm⁻³), which is obtained from OM concentration (µg m⁻³) divided by a typical organic density of 1.4 g cm⁻³ (Turpin and Lim, 2001), κ_org is the hygroscopicity parameter (dimensionless) calculated from the parameterized relationship of ${\mathit{\kappa }}_{\mathrm{org}}=\left(\mathrm{0.29}\pm \mathrm{0.05}\right)\cdot \left(\mathrm{O}/\mathrm{C}\right)$ for the range of O∕C from 0.3 to 0.6 (Chang et al., 2010), and a_w is water activity (dimensionless) that is assumed to be equivalent to RH (Nguyen et al., 2016).

3.1 Effects of regional transport and local stagnation on PM_2.5 composition

Average concentrations of PM_2.5 and chemical components were highest in the “local stagnation with regional transport” (S-T) group (e.g., PM_{2.5  dry} of 72.2 µg m⁻³) and lowest in the “local ventilation with no regional transport” (V-nT) group (e.g., PM_{2.5  dry} of 19.9 µg m⁻³), and the average concentrations for the “local ventilation with regional transport” (V-T) group and the “local stagnation with no regional transport” (S-nT) groups (e.g., PM_{2.5  dry} of 53.3 and 34.4 µg m⁻³, respectively) were located between those of the S-T and V-nT groups (Table 2 and Fig. 3f). The composite difference between the regional-transport (V-T and S-T) groups and no regional-transport (V-nT and S-nT) groups reveals the regional effect of transported haze particles and precursors from the North China Plain and Yangtze River Delta, while that between the local-stagnation (S-T and S-nT) groups and local-ventilation (V-T and V-nT) groups shows the effect of accumulation or diffusion of both local and transported pollutants in the Seoul metropolitan area. Thus, the significant difference in each PM_2.5 component between the S-T and V-nT groups (Fig. 6) indicates both contributions of local stagnant conditions over the Seoul metropolitan area and regional transport from the Chinese source area to the exacerbation of haze pollution in Seoul.

Figure 6Average concentrations and confidence intervals at 95 % of (a) wet PM_2.5 (PM_{2.5  wet}), (b) sulfate (${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$), (c) nitrate (${\mathrm{NO}}_{\mathrm{3}}^{-}$), (d) ammonium (${\mathrm{NH}}_{\mathrm{4}}^{+}$), (e) elemental carbon (EC), (f) organic matter (OM), (g) inorganic ALW (W_i), and (h) organic ALW (W_o) for the “local ventilation with no regional transport” (V-nT) group (light blue), “local stagnation with no regional transport” (S-nT) group (light red), “local ventilation with regional transport” (V-T) group (darker light blue), and “local stagnation with regional transport” (S-T) group (darker light red) categorized by ranges of the average daily residence time of backward trajectories in the Seoul metropolitan area (t_SMA) and in the North China Plain and Yangtze River Delta (t_CHN).

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The average concentrations of gaseous precursors like SO₂ and NO₂ for the S-T group were about 2 times higher than those for the V-nT group (Fig. 3), while ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, ${\mathrm{NH}}_{\mathrm{4}}^{+}$, and inorganic ALW increased by 5–10 times (Fig. 6). In contrast, average OM concentration for the S-T group was 2 times higher than that for the V-nT group, similarly to CO, and organic ALW of the S-T group showed a relatively smaller increase (∼4 times of the V-nT group) than inorganic ALW (∼8 times of the V-nT group). Therefore, the PM_2.5 increase in Seoul seems to be induced not only by the physical and dynamical processes like transport or accumulation of air pollutants but also by the chemical process like secondary aerosol formation, particularly related to the increase in inorganic species and ALW.

A statistically significant difference (p<0.05) between the S-T and S-nT groups (effect of regional transport in the local stagnant condition) was observed in SIA species (${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$), OM, and ALW (both W_i and W_o), and that between the S-T and V-T groups (effect of local stagnation in the regional-transport condition) was seen for EC and OM (Table 2). Thus, although both regional transport and local stagnation can induce high concentrations of PM_2.5 and its chemical components of the S-T group, the effect of regional transport is more significant for the increase in inorganic species and water content, while the effect of local stagnation is more significant for the increase in carbonaceous species. The sulfur oxidation ratio [SOR $={\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}/({\mathrm{SO}}_{\mathrm{2}}+{\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-})$], nitrate partitioning ratio [ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$)], and ammonium partitioning ratio [ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$)] of the S-T group, which were significantly higher than that of the S-nT group (p<0.05) but did not clearly differ from that of the V-T group, indicate that the increase in SIA through the regional-transport effect is closely associated with the enhanced oxidation (e.g., from NO_x to HNO₃) or partitioning of inorganic species into the particle phase.

Note that OM concentration seems to be increased by both effects of regional transport and local stagnation (Table 2 and Fig. 6f). However, the average estimates of the O∕C ratio (∼0.55) and OM∕OC ratio (∼1.87), which are in between semi-volatile oxygenated OA (SV-OOA) and low-volatility oxygenated OA (LV-OOA), are similar for the four categorized groups (Table 2). Together with weak correlations of the O∕C ratio with wind speed ($r=-\mathrm{0.093}$) and BLH ($r=-\mathrm{0.172}$) in total daily data (n=118), this suggests that aging and oxidation of SOA in Seoul was not much dependent on external conditions like stagnation or transport. Rather, significant correlations of the O∕C ratio with temperature ($r=-\mathrm{0.531}$) and solar irradiance ($r=-\mathrm{0.370}$) indicate the winter-high/summer-low seasonality of the secondary fraction in OA. Such temperature-dependent SOA fraction can be also found in OC∕EC ratio ($r=-\mathrm{0.638}$ for temperature and $r=-$0.469 for solar irradiance), which can be regarded as an index for secondary OC, and is consistent with partitioning theory (Takekawa et al., 2003).

3.2 Fractional changes of ALW and SIA by effects of regional transport and local stagnation

The chemical mass fraction of PM_2.5 is expected to be affected by source characteristics (emissions) and chemical process (secondary aerosol formation), but not by the physical and dynamical processes (transport and accumulation), which affect the mass concentration of PM_2.5. Thus, the mass fraction of each component is helpful to understand the source and chemical characteristics of each categorized group.

In terms of the component fraction, PM_2.5 of the “local stagnation with regional transport” (S-T) group can be characterized by inorganic-rich, wet particles, while that of the “local ventilation with no regional transport” (V-nT) group was relatively organic-richer and drier (Fig. 7). Estimated wet PM_2.5 (including ALW of both W_i and W_o; PM_{2.5  wet}) of the S-T group contained larger fractions of SIA species (${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$) and ALW but a smaller OM fraction (46 % SIA, 23 % OM, and 26 % ALW) than that of the V-nT group (29 % SIA, 43 % OM, and 15 % ALW). Comparisons with the “local ventilation with regional transport” (V-T) group (37 % SIA, 19 % OM, and 33 % ALW) and the “local stagnation with no regional transport” (S-nT) group (34 % SIA, 35 % OM, and 21 % ALW) show that the effect of regional transport increases inorganic and water fractions, while the effect of local stagnation raises organic fraction of the total PM_{2.5  wet}. Note that the increase in ALW fraction from the V-nT (15 %) to V-T (33 %) groups is much larger than that from the S-nT (21 %) to S-T (26 %) groups because of the significantly higher increase in RH from the V-nT (46 %) to V-T (61 %) groups compared to that from the S-nT (54 %) to S-T (52 %) groups. The relationship between RH and ALW, as well as hygroscopic properties of Seoul haze particles, will be further discussed in the next section.

Figure 7Average chemical compositions of wet PM_2.5 (PM_{2.5  wet}) for the (a) “local ventilation with no regional transport” (V-nT) group, (b) “local stagnation with no regional transport” (S-nT) group, (c) “local ventilation with regional transport” (V-T) group, and (d) “local stagnation with regional transport” (S-T) group. Fractional species are sulfate (red), nitrate (dark blue), ammonium (orange), organic matter (green), elemental carbon (black), inorganic ALW (light blue), organic ALW (darker light blue), and other ions (chloride, sodium, potassium, magnesium, and calcium; yellow). The size of each circle is proportional to the PM_{2.5  wet} concentration.

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The ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ fraction of dry PM_2.5 (excluding W_i and W_o; PM_{2.5  dry}) was ∼17 % for the no regional-transport (V-nT and S-nT) groups and about 20 % and 23 % for the V-T and S-T groups, respectively. The ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ fraction in the no regional-transport groups is close to the background fraction of ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ in PM_{2.5  dry} in Seoul, and this fraction is comparable to the “local sulfate source” contribution of 21.7 % (mostly in the form of ammonium sulfate and equivalent to the ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ contribution of ∼16 %) identified by the previous source apportionment study on PM_2.5 in Seoul (Kim et al., 2016). A previous field study conducted on the multiday haze episode showed that the ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ concentration at the upwind background site over the Yellow Sea (Deokjeok Island; 37.233^∘ N, 126.149^∘ E) was nearly the same as Seoul ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ at the regional-transport stage of haze or the clean period and even kept ∼50 % of the Seoul ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ concentration at the local-stagnation stage of the haze episode (Seo et al., 2017). Thus, together with considering the small SO₂ emission in the Seoul metropolitan area compared to the North China Plain (Li et al., 2017; NIER, 2018) and the SO₂ increase through the regional-transport effect (regional-transport groups minus no regional-transport groups; ∼2–4 ppb), the majority of ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ in the regional-transport (V-T and S-T) groups seems to be directly transported from China or produced during the transport from China before arriving at the Seoul metropolitan area.

The ${\mathrm{NO}}_{\mathrm{3}}^{-}$ fraction of PM_{2.5  dry} was only ∼9 % for the V-nT group but increased to 16 % and 23 % for the S-nT and V-T groups and reached more than 24 % for the S-T group. Interestingly, the fractional increase through the local-stagnation effect (local-stagnation groups minus local-ventilation groups; ∼2 %–7 %) is much smaller than that through the regional-transport effect (regional-transport groups minus no regional-transport groups; ∼9 %–14 %) despite the same increase in NO₂ concentration (∼15 ppb; Table 2) through two different effects. Seoul is one of the largest sources of NO_x in Korea, but the previous study using satellite NO_x column data with the Lagrangian model demonstrated that the Chinese contribution to the NO₂ columns over Korea reaches up to ∼50 %–70 % (Lee et al., 2014). However, the impact of regional transport on the increase in ${\mathrm{NO}}_{\mathrm{3}}^{-}$ fraction, which is ∼2 times higher than that of the local stagnation, indicates a nonlinear effect of regional transport on the ${\mathrm{NO}}_{\mathrm{3}}^{-}$ increase in Seoul haze.

The ${\mathrm{NH}}_{\mathrm{4}}^{+}$ fraction of PM_{2.5  dry} was 8 % for the V-nT group, 10 % for the S-nT group, 13 % for the V-T group, and 15 % for the S-T group. The higher fractional increase in ${\mathrm{NH}}_{\mathrm{4}}^{+}$ through the regional-transport effect (T-minus nT-groups; 5 %) compared to that through the local-stagnation effect (S-minus V-groups; 2 %) results from the higher increase in both ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ aerosols related to the regional-transport effect.

3.3 Synergistic effect of transported hygroscopic particles on SIA in the cold season

The high-concentration, inorganic-rich, and wet particles (high SIA and ALW fractions of PM_{2.5  wet}) mostly belong to the regional-transport (V-T and S-T) groups, of which backward trajectories originated from the upwind regional source area (the North China Plain and Yangtze River Delta), while relatively low-concentration, organic-rich dry particles (high OM fraction of PM_{2.5  wet}) belong to the “local ventilation with no regional transport” (V-nT) group (Fig. 8a and b). The ALW fraction is a function of RH and also increases with the SIA fraction at the same RH (Fig. 8c), similar to the Beijing haze (Wu et al., 2018). This indicates that Seoul haze is hygroscopic and the major driver of its hygroscopicity is inorganic species. Since the SIA fraction was relatively higher in the regional-transport groups compared to that in the no regional transport groups, the hygroscopic properties of PM_2.5 in Seoul were more clearly revealed in the regional-transport groups (Fig. 8d). Therefore, the ALW fraction in the transported particles (e.g., the regional-transport groups) was higher than that in the particles of local origin (e.g., the “local stagnation with no regional transport” (S-nT) group).

Figure 8(a–b) Scatterplots of the secondary inorganic aerosol (SIA) fraction to wet PM_2.5 (SIA∕PM_{2.5  wet}) ratio versus the organic matter (OM) fraction to wet PM_2.5 (OM∕PM_{2.5  wet}) ratio, colored according to (a) the aerosol liquid water (ALW) to wet PM_2.5 (ALW∕PM_{2.5  wet}) ratio and (b) the categories for each case. (c–d) Scatterplots of ALW∕PM_{2.5  wet} versus relative humidity (RH), colored according to (c) SIA∕PM_{2.5  wet} ratio and (d) the categories. The size of each circle is proportional to the dry PM_2.5 (PM_{2.5  dry}) concentration.

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The concentrations of ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ increase with their gas-phase precursors (SO₂, NO₂, and NH₃) in Seoul, except for the V-nT group. However, the regression slopes of the ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ with respect to their precursors in the regional-transport groups are steeper than the slope of the S-nT group (Fig. 9). Such a higher sensitivity of the increase in ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ to the gas-phase precursors of the regional-transport groups is related to the higher ratios of sulfur oxidation (SOR) and partitioning [ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$)] compared to the S-nT group (Fig. 10b, f, and j). Since the average concentrations of total sulfur ($={\mathrm{SO}}_{\mathrm{2}}+{\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$), total HNO₃, and total NH₃ are highest in the “local stagnation with regional transport” (S-T) group due to a combination of remote precursors transported from China and local precursors accumulated in the stagnant condition (Fig. 10a, e, and i), the high SOR, ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$), and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) of the regional-transport groups induced the highest average ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$ concentrations of the S-T group (Table 2).

Figure 9Scatterplots of (a) ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ versus SO₂, (b) ${\mathrm{NO}}_{\mathrm{3}}^{-}$ versus NO₂, and (c) ${\mathrm{NH}}_{\mathrm{4}}^{+}$ versus the reconstructed ammonia (NH₃). Filled circles in blue, green, yellow, and red colors represent daily data belonging to the “local ventilation with no regional transport” (V-nT) group, “local stagnation with no regional transport” (S-nT) group, “local ventilation with regional transport” (V-T) group, and “local stagnation with regional transport” (S-T) group, respectively. The statistically significant linear regression slopes (p<0.01) for each group are represented by solid lines.

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The SOR, ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$), and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) averaged for four range classes of temperature and inorganic ALW (W_i) show that all the ratios increased with W_i (Fig. 10d, h, and l), and ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) decreased with temperature (Fig. 10g and k). Changes in W_i from the S-nT group (∼7 µg m⁻³ on average; W_i1) to the regional-transport groups (>20 µg m⁻³ on average; W_i3) increase SOR, ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$), and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) by approximately up to 20 % for each ratio. This implies that the transported haze particles in the regional-transport groups, which are richer in inorganics and more hygroscopic than the local haze particles of the S-nT group (Fig. 8), promote SIA production. The aqueous-phase oxidation of SO₂ via H₂O₂, O₃, NO₂, and transition metal ion (TMI) pathways (Harris et al., 2013; Cheng et al., 2016; Wang et al., 2016) and the partitioning of HNO₃ and NH₃ via dissolution and dissociation in the wet particles (Seinfeld and Pandis, 2016) are effective ways to produce ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$, ${\mathrm{NO}}_{\mathrm{3}}^{-}$, and ${\mathrm{NH}}_{\mathrm{4}}^{+}$. Therefore, ALW in the hygroscopic particles can synergistically increase the inorganic species in a precursor-rich urban area like Seoul.

Figure 10Average concentrations and confidence intervals at 95 % of (a) total sulfur (= SO₂+ ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$), (b–d) sulfur oxidation ratio (SOR), (e) total HNO₃ (= HNO₃ + ${\mathrm{NO}}_{\mathrm{3}}^{-}$), (f–h) nitrate partitioning ratio [ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$)], (i) total NH₃ (= NH₃ + ${\mathrm{NH}}_{\mathrm{4}}^{+}$), and (j–l) ammonium partitioning ratio [ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$)]. (a–b, e–f, i–j) Average for the “local ventilation with no regional transport” (V-nT) group (light blue), “local stagnation with no regional transport” (S-nT) group (light red), “local ventilation with regional transport” (V-T) group (darker light blue), and “local stagnation with regional transport” (S-T) group (darker light red). (c, g, k) Average for the temperature (T) ranges of T<0 ^∘C (T₁; n=19), 0 ^∘C $\le T<\mathrm{10}$ ^∘C (T₂; n=31), 10 ^∘C $\le T<\mathrm{20}$ ^∘C (T₃; n=30), and T≥20 ^∘C (T₄; n=19). (d, h, l) Average for the inorganic ALW (W_i) ranges of W_i<10 µg m⁻³ (W_i1; n=58), 10 µgm⁻³ $\le W_{\mathrm{i}}<\mathrm{20}$ µg m⁻³ ($W_{\mathrm{i}\mathrm{2}};n=\mathrm{14}$), 20 µgm⁻³ $\le W_{\mathrm{i}}<\mathrm{30}$ µg m⁻³ (W_i3; n=12), and W_i≥30 µg m⁻³ (W_i4; n=15).

In terms of the synergistic increase in ${\mathrm{NO}}_{\mathrm{3}}^{-}$ with ALW, the ratio between ${\mathrm{NO}}_{\mathrm{3}}^{-}$ and ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ can be an important factor. Hygroscopic uptake of ALW by both ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ can increase pH through a dilution effect on hydrogen ions (H⁺). Because ${\mathrm{NO}}_{\mathrm{3}}^{-}$ is a semi-volatile hygroscopic species, the higher pH increased by ALW allows more partitioning of HNO₃ gas into the particle phase and takes up more ALW. However, if ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ is dominant in the particle, such a feedback process will be weakened because ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ is non-volatile (Guo et al., 2017). The average ${\mathrm{NO}}_{\mathrm{3}}^{-}$-to-${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ molar ratios of the regional-transport groups (1.87 for the S-T group and 1.60 for the V-T group) are higher than that of the no regional-transport groups (1.29 for the S-nT group and 0.81 for the V-nT group). Since ALW, pH, and ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) in the regional-transport (V-T and S-T) groups are higher than those in the no regional-transport (V-nT and S-nT) groups, this feedback process can explain the synergistic effect of transported particles on the high ${\mathrm{NO}}_{\mathrm{3}}^{-}$ and ALW fractions.

Note that the partitioning of HNO₃ and NH₃ is also dependent on temperature (T) (Fig. 10g and k). Changes in T from the S-nT group (∼15 ^∘C on average; T₃) to the regional-transport groups (∼9 ^∘C on average; T₂) can also increase ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) and ε(${\mathrm{NH}}_{\mathrm{4}}^{+}$) by approximately 20 % for each, similar to the effect of inorganic ALW. In Korea, the regional transport of air pollutants from the NCP area is usually accompanied by westerly or northwesterly continental outflow, which induces cold advection, during the cold season (Kim et al., 2018). The lower temperature of the S-T group (∼9 ^∘C) compared to the S-nT group (∼15 ^∘C) could lead to the higher sensitivity of the SIA increase to the precursor concentrations in the S-T group (Fig. 9). Interestingly, the increasing SOR through temperature (and also irradiance) is not as significant as that through inorganic ALW (Figs. 10c) despite the high-temperature and strong-irradiance conditions conducive to photochemical oxidation of SO₂ in summer. This implies that the observed high ${\mathrm{SO}}_{\mathrm{4}}^{\mathrm{2}-}$ in the S-T group resulted not only from the photochemical gas-phase oxidation but also considerably from the aqueous-phase oxidation of SO₂ in the transported wet particles.

3.4 Effect of NO_x and NH₃ control on mitigating haze pollution in Seoul

The ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) can be analytically calculated according to the solubility and dissociation of gas-phase HNO₃ and represented as a sigmoid function (S curve) of pH (Guo et al., 2018; Nah et al., 2018) by the following equation:

where $\mathrm{0.987}\times {\mathrm{10}}^{-\mathrm{14}}$ is the unit conversion factor from atmospheric pressure and micrograms to SI units, R is the gas constant (8.314 J mol⁻¹ K⁻¹), W_i (µg m⁻³) is the ALW content associated with inorganic species, and $H_{{\mathrm{HNO}}_{\mathrm{3}}^{\ast }}$ is the effective Henry's law constant (products of Henry's law constant for HNO₃ gases and the acid dissociation constant for ${\mathrm{HNO}}_{\mathrm{3}}\leftrightarrow {\mathrm{NO}}_{\mathrm{3}}^{-}+{\mathrm{H}}^{+}$) dependent on temperature and pH (mol² kg⁻² atm⁻¹ on a molality basis; Clegg et al., 1998). The product of activity coefficients, ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}$, is dependent on both temperature and ionic strength (Kusik and Meissner, 1978; Kim et al., 1993). In this study, daily ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}$ was obtained based on daily average ambient temperature and ionic strength from ISORROPIA II and ranged from 0.135 to 0.734, with an average of 0.333±0.150.

The S curve of ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) as a function of pH is useful for examining the role of inorganic ALW and temperature in HNO₃–${\mathrm{NO}}_{\mathrm{3}}^{-}$ partitioning and provides insights into the potential HNO₃ partitioning by a change in particle pH. In Fig. 11, both a decrease in temperature and an increase in ALW can shift the ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) curves toward a lower pH, so more HNO₃ can exist in the particle phase. Almost 100 % of the total HNO₃ exists in the particle phase at the higher pH (>4) in Seoul. Since the gas-phase HNO₃ largely formed by the reaction of NO₂ with hydroxyl radicals (OH) is highly water-soluble (Seinfeld and Pandis, 2016), the transported wet particles (the regional-transport (V-T and S-T) groups) can easily take up HNO₃ gas into the aerosol solution in the NO_x-rich (∼60 ppb) environment of Seoul (Vellingiri et al., 2015), particularly during the cold season. Note that ALW can additionally enhance the nitrate radical (NO₃)–N₂O₅ pathway and heterogeneous N₂O₅ hydrolysis (Bertram et al., 2009). In addition, the high NH₃ level (∼10 ppb) in Seoul (Phan et al., 2013) helps further to increase the uptake of HNO₃ gas into the aerosol solution (Guo et al., 2018).

Figure 11The calculated sigmoid curves (S curves) and observed ambient gas-particle partitioning ratios (solid circles) for nitrate [ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$)] plotted against the ISORROPIA-predicted particle pH. The blue, green, yellow, and red circles represent the “local ventilation with no regional transport” (V-nT) group, “local stagnation with no regional transport” (S-nT) group, “local ventilation with regional transport” (V-T) group, and “local stagnation with regional transport” (S-T) group, respectively, and the size of each circle is proportional to the concentration of inorganic ALW (W_i). The curves were calculated based on the median values of temperature (T), W_i, and the product of activity coefficient (${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}$) for each group; T=0.6 ^∘C, W_i=2.2 µg m⁻³, and ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}=\mathrm{0.146}$ for the V-nT group; T=17.5 ^∘C, W_i=5.6 µg m⁻³, and ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}=$ 0.295 for the S-nT group; T= 11.6 ^∘C, W_i=16.6 µg m⁻³, and ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}=\mathrm{0.458}$ for the V-T group; T=6.9 ^∘C, W_i=18.0 µg m⁻³, and ${\mathit{\gamma }}_{{\mathrm{H}}^{+}}{\mathit{\gamma }}_{{\mathrm{NO}}_{\mathrm{3}}^{-}}=\mathrm{0.400}$ for the S-T group.

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Figure 12Schematic of synergistic nitrate partitioning to the particle phase aided by wet particles transported from the remote source area (North China Plain and Yangtze River Delta) in a high NO_x and NH₃ urban area (Seoul metropolitan area) during the cold season in East Asia. The background map was derived from © Google Maps.

To reduce ammonium nitrate aerosols in Seoul, therefore, two ways can be suggested; the NO_x control and the NH₃ control. As shown in Fig. 9b, the observed ${\mathrm{NO}}_{\mathrm{3}}^{-}$ concentration is highly correlated with the NO₂ level, and this implies that the NO_x control will be an effective way to reduce total HNO₃ and ${\mathrm{NO}}_{\mathrm{3}}^{-}$ concentrations. Such a direct relationship between NO_x control and nitrate aerosol is significant at the condition of ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) close to 1. Because of the higher ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) of the transported wet particles, the NO_x reduction will more effectively reduce ${\mathrm{NO}}_{\mathrm{3}}^{-}$ in the regional-transport groups compared to the “local stagnation with no regional transport” (S-nT) group. For example, the potential ${\mathrm{NO}}_{\mathrm{3}}^{-}$ reduction by a 10 ppb decrease in ambient NO₂ concentration deduced from the linear regression in Fig. 9b can be estimated as being ∼8 µg m⁻³ for the “local ventilation with regional transport” (V-T) group, ∼7 µg m⁻³ for the “local stagnation with regional transport” (S-T) group, and ∼5 µg m⁻³ for the “local stagnation with no regional transport” (S-nT) group. On the other hand, the NH₃ control to achieve the low ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) by lowering the particle pH from the current level (pH of ∼3.5 on average) for the S-T group may cost more than that for the S-nT group because the ε(${\mathrm{NO}}_{\mathrm{3}}^{-}$) in the S-nT group (green circles) starts to decrease rapidly at pH <3.5, while that in the regional-transport groups (yellow circles for the V-T group and red circles for the S-T group) remains relatively high (∼80 %) at the lower pH (∼2.5) (Fig. 11). Since the haze pollution in Seoul usually becomes severe with the regional transport of hygroscopic wet particles (e.g., the S-T group), a greater reduction in the NH₃ emissions should be required for the higher-concentration S-T group compared to the lower-concentration S-nT group. However, the benefit of reducing PM_2.5 mass concentration by an NH₃ control can be canceled out by the adverse effects of strong particle acidity on human health (Fang et al., 2017).