Seasonal differences in formation processes of oxidized organic aerosol near Houston, TX

Abstract. Submicron aerosol was measured to the southwest of Houston, Texas, during
winter and summer 2014 to investigate its seasonal variability. Data from a
high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS)
indicated that organic aerosol (OA) was the largest component of
nonrefractory submicron particulate matter (NR-PM1) (on average, 38 % ± 13 % and 47 % ± 18 % of the NR-PM1 mass loading in
winter and summer, respectively). Positive matrix factorization (PMF)
analysis of the OA mass spectra demonstrated that two classes of oxygenated
OA (less- and more-oxidized OOA, LO and MO) together dominated OA mass in
summer (77 %) and accounted for 39 % of OA mass in winter. The fraction
of LO-OOA (out of total OOA) is higher in summer (70 %) than in winter
(44 %). Secondary aerosols (sulfate + nitrate + ammonium + OOA) accounted
for ∼76 % and 88 % of NR-PM1 mass in winter and
summer, respectively, indicating NR-PM1 mass was driven mostly by
secondary aerosol formation regardless of the season. The mass loadings and
diurnal patterns of these secondary aerosols show a clear winter–summer
contrast. Organic nitrate (ON) concentrations were estimated using the
NOx+ ratio method, with contributions of 31 %–66 % and 9 %–17 % to
OA during winter and summer, respectively. The estimated ON in summer
strongly correlated with LO-OOA (r=0.73) and was enhanced at nighttime. The relative importance of aqueous-phase chemistry and photochemistry in
processing OOA was investigated by examining the relationship of aerosol
liquid water content (LWC) and the sum of ozone (O3) and nitrogen
dioxide (NO2) (Ox = O3+NO2) with LO-OOA and MO-OOA.
The processing mechanism of LO-OOA apparently was related to relative
humidity (RH). In periods of RH < 80 %, aqueous-phase chemistry
likely played an important role in the formation of wintertime LO-OOA,
whereas photochemistry promoted the formation of summertime LO-OOA. For
periods of high RH > 80 %, these effects were opposite those of
low-RH periods. Both photochemistry and aqueous-phase processing appear to
facilitate increases in MO-OOA concentration except during periods of high
LWC, which is likely a result of wet removal during periods of light rain or a negative impact on its formation rate. The nighttime increases in MO-OOA during winter and summer were 0.013 and
0.01 µg MO-OOA per µg of LWC, respectively. The increase in LO-OOA
was larger than that for MO-OOA, with increase rates of 0.033 and 0.055 µg LO-OOA per µg of LWC at night during winter and summer, respectively. On average, the mass concentration of LO-OOA in summer was
elevated by nearly 1.2 µg m−3 for a ∼20 µg
change in LWC, which was accompanied by a 40 ppb change in Ox.


Abstract.Submicron aerosol was measured to the southwest of Houston, Texas, during winter and summer 2014 to investigate its seasonal variability.Data from a high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS) indicated that organic aerosol (OA) was the largest component of nonrefractory submicron particulate matter (NR-PM 1 ) (on average, 38 % ± 13 % and 47 % ± 18 % of the NR-PM 1 mass loading in winter and summer, respectively).Positive matrix factorization (PMF) analysis of the OA mass spectra demonstrated that two classes of oxygenated OA (less-and more-oxidized OOA, LO and MO) together dominated OA mass in summer (77 %) and accounted for 39 % of OA mass in winter.The fraction of LO-OOA (out of total OOA) is higher in summer (70 %) than in winter (44 %).Secondary aerosols (sulfate + nitrate + ammonium + OOA) accounted for ∼ 76 % and 88 % of NR-PM 1 mass in winter and summer, respectively, indicating NR-PM 1 mass was driven mostly by secondary aerosol formation regardless of the season.The mass loadings and diurnal patterns of these secondary aerosols show a clear winter-summer contrast.Organic nitrate (ON) concentrations were estimated using the NO + x ratio method, with contributions of 31 %-66 % and 9 %-17 % to OA during winter and summer, respectively.The estimated ON in summer strongly correlated with LO-OOA (r = 0.73) and was enhanced at nighttime.
The relative importance of aqueous-phase chemistry and photochemistry in processing OOA was investigated by examining the relationship of aerosol liquid water content (LWC) and the sum of ozone (O 3 ) and nitrogen dioxide (NO 2 ) (O x = O 3 + NO 2 ) with LO-OOA and MO-OOA.The processing mechanism of LO-OOA apparently was related to relative humidity (RH).In periods of RH < 80 %, aqueousphase chemistry likely played an important role in the formation of wintertime LO-OOA, whereas photochemistry promoted the formation of summertime LO-OOA.For periods of high RH > 80 %, these effects were opposite those of low-RH periods.Both photochemistry and aqueous-phase processing appear to facilitate increases in MO-OOA concentration except during periods of high LWC, which is likely a result of wet removal during periods of light rain or a negative impact on its formation rate.
The nighttime increases in MO-OOA during winter and summer were 0.013 and 0.01 µg MO-OOA per µg of LWC, respectively.The increase in LO-OOA was larger than that for MO-OOA, with increase rates of 0.033 and 0.055 µg LO-OOA per µg of LWC at night during winter and summer, respectively.On average, the mass concentration of LO-OOA

Introduction
Tropospheric particulate matter (PM) has adverse effects on air quality, visibility and ecosystems and participates in climate forcing (Watson, 2002;Grantz et al., 2003;Racherla and Adams, 2006;Tai et al., 2010;Liu et al., 2017).The various effects of PM depend on its physical, chemical and optical properties, which are determined by its emission, formation and evolution/aging processes.Atmospheric PM can either be directly emitted from primary sources (fossil fuel combustion, soil dust, sea salt, biomass burning, etc.) or formed through chemical reactions of gaseous precursors, as is the case for secondary inorganic sulfate (SO 2− 4 ) and nitrate (NO − 3 ) and secondary organic aerosol (SOA).Understanding the source contributions and formation pathways of PM is essential for mitigating its effects (Jimenez et al., 2009).
Houston, TX, is of great interest to the scientific community with respect to air quality) as it is the fourth most populous city in the United States (US) and is well known for its energy and chemical industries.Numerous efforts, from modeling (McKeen et al., 2009;Li et al., 2015;Ying et al., 2015) to field measurements (for example, TexAQS 2000 and II, Bates et al., 2008;Parrish et al., 2009;Atkinson et al., 2010;Go-MACCS, McKeen et al., 2009;Parrish et al., 2009;TRAMP2006, Mao et al., 2010;Cleveland et al., 2012; GC-ARCH, Allen and Fraser, 2006;SHARP, Olaguer et al., 2014;and DISCOVER-AQ, Bean et al., 2016;Leong et al., 2017) have been made in the Houston metropolitan area during the past two decades, providing critical insights into our understanding of air quality and atmospheric chemistry with respect to the sources and formation of PM.Previous field campaigns underscore that OA accounts for a major fraction of nonrefractory submicron PM (NR-PM 1 ) in Houston (Bates et al., 2008;Russell et al., 2009;Cleveland et al., 2012;Brown et al., 2013;Bean et al., 2016;Leong et al., 2017;Wallace et al., 2018).The spatial variation of NR-PM 1 in Houston was investigated by Leong et al. (2017), who divided greater Houston into two zones based on marked differences in NR-PM 1 levels, characteristics and dynamics measured at 16 sampling locations.Zone 1 is northwest of Houston and is dominated by SOA, likely driven by nighttime biogenic organic nitrate (ON) formation.Intensive attention has been paid recently to such anthropogenicbiogenic interactions (Bahreini et al., 2009;Bean et al., 2016).Zone 2 is the industrial/urban area south/east of Houston.Wallace et al. (2018) found mobile source exhaust and petrochemical emissions likely are the most important factors impacting the NR-PM 1 and trace gases at a site in Zone 2. Formation of SOA in clouds and the aqueous phase of aerosol particles has been reported worldwide (Lim et al., 2010;Ervens et al., 2011;Xu et al., 2017).Given that both photochemical oxidation and aqueous-phase chemistry are conducive to the formation of SOA, it is of interest to compare the relative importance of photochemistry and aqueousphase chemistry for SOA formation in different seasons.The roles of photochemistry and aqueous-phase processing on SOA formation and evolution in different seasons in Beijing have been investigated by Hu et al. (2016) and Xu et al. (2017).Generally, aqueous-phase processing has a dominant influence on the formation of more-oxidized SOA, and photochemistry plays a major role in the formation of lessoxidized SOA in summer and winter in Beijing, while the relative importance of these two pathways in the formation processes of SOA in autumn is different from those in summer and winter.The relative roles of aqueous-phase and photochemical processes in the formation of SOA likely vary with location and time.The seasonal differences in the spectral patterns, oxidation degrees and contributions of SOA may result from different volatile organic compound (VOC) precursors, meteorological conditions and atmospheric oxidizing capacity, which are not well understood in Houston, particularly in different seasons.
This study presents observations of NR-PM 1 from two high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS) measurement campaigns conducted during the winter and summer of 2014 at a site in the suburbs of Houston, where industrial and vehicular emission sources and photochemical processes are likely to play an important role in NR-PM 1 formation (Leong et al., 2017).In addition to local emissions, this site was possibly impacted by regional marine aerosol transported from the Gulf of Mexico (Schulze et al., 2018).The aims of this work are to (1) investigate the seasonal characteristics of NR-PM 1 in the Houston area, (2) characterize the primary and secondary sources by applying positive matrix factorization (PMF) analysis to the measured OA mass spectra, and (3) evaluate the seasonal dependence of SOA composition and formation, with a main focus on the relative effects of photochemistry and aqueousphase chemistry.

Sampling site and campaigns
Instrumentation was deployed in the University of Houston-Rice University Mobile Air Quality Laboratory (MAQL), as described in Leong et al. (2017) and Wallace et al. (2018).The winter campaign was conducted from 3 to 17 February 2014, and the summer campaign was conducted from 1 to 31 May 2014.The measurement site was located on the campus of the University of Houston at Sugar Land (UHSL) (29.5740 • N, 95.6518 • W).The campus is situated southwest of downtown and the Houston Ship Channel (HSC).The map of the measurement site is presented in Fig. S1 in the Supplement.The nearby interstate highway (I-69) extends to the west of downtown and serves as a major traffic emission source.The WA Parish Generating Station, a coal-fired power plant that is the largest electricity-generating facility in Texas, is ∼ 10 km south of the site (Fig. S1).The data collected in the winter campaign are limited in duration; thus, the following discussion focuses primarily on the summer campaign.

Measurements
The data used in this paper are reported in local time, which is 6 and 5 h behind Universal Coordinated Time in winter and summer, respectively.The details regarding the instrumental setup and data processing of these measurements were the same as described in Wallace et al. (2018).The NR-PM 1 composition was measured using an Aerodyne HR-ToF-AMS (DeCarlo et al., 2006;Canagaratna et al., 2007).A PM 2.5 Teflon ® -coated cyclone inlet was installed above the MAQL at a height of 6 m above ground to remove coarse particles and to introduce air into the sampling line at a rate of 16.7 SLPM.A Nafion dryer (Perma Pure, LLC) was mounted upstream of the HR-ToF-AMS to dry the sample to below 45 % relative humidity (RH).Particles are focused into a narrow beam via an aerodynamic lens and accelerated under high vacuum into the particle sizing measurement chamber.After passing the particle sizing chamber, the nonrefractory components are flash vaporized at near 600 • C and ionized using electron impact at 70 eV.Ionized mass fragments are then transmitted directly into the time-of-flight region so that the mass spectra can be obtained.In this study, the HR-ToF-AMS was operated in V mode to obtain the nonrefractory chemical components with a higher sensitivity and lower mass spectral resolution compared to the W mode. Ionization efficiency (IE) calibration was performed using monodisperse ammonium nitrate (NH 4 NO 3 ) at the beginning and end of each campaign.Filtered ambient air was sampled every 2 days for approximately 20 to 30 min to provide a baseline of signal for the HR-ToF-AMS during campaigns.The detection limits (Table S1) were calculated by multiplying the standard deviations of the filter periods by 3.
Trace gas mixing ratios and meteorological parameters also were measured on the MAQL during the campaigns.Carbon monoxide (CO) was measured with high-resolution cavity enhanced direct-absorption spectroscopy (Los Gatos Research, Inc.), and sulfur dioxide (SO 2 ) was quantified using a pulsed fluorescence analyzer (ThermoFischer Scientific, model 43i-TLE).Nitric oxide (NO) and nitrogen dioxide (NO 2 ) were measured with a chemiluminescence monitor with an ultraviolet-light-emitting-diode NO 2 photolytic converter on the NO 2 channel (AQD, Inc.)The total reactive nitrogen (NO y ) was measured with a Thermo 49c-TL with a heated molybdenum inlet converter.Ozone (O 3 ) mixing ra-tio was measured with ultraviolet absorption (2BTech, Inc., model 205).Meteorological parameters including ambient temperature, solar radiation, RH, wind speed (WS) and wind direction (WD) were measured using an RM Young meteorological station.Precipitation totals from a nearby Texas Commission on Environmental Quality (TCEQ) monitoring site (EPA Site: 48_157_0696) were downloaded from the TCEQ website.The total cloud cover data were downloaded from the READY Archived Meteorology website of the National Oceanic and Atmospheric Administration.

Data processing
The HR-ToF-AMS data analysis was performed using SQUIRREL version 1.56A and PIKA version 1.19D in Igor Pro 6.37 (Wave Metrics Inc.).The relative IEs were applied to OA (1.4), SO 2− 4 (1.2),NO − 3 (1.1),NH + 4 (4.0) and chloride (Cl − , 1.3) following the standard data analysis procedures.The composition-dependent collection efficiency was applied to the data based on Middlebrook et al. (2012).Elemental ratios (H / C, O / C and N / C, where H is hydrogen, C is carbon, and N is nitrogen) and the ratio of organic mass to organic carbon (OM / OC) were generated using the procedures described by Canagaratna et al. (2015).Example data are shown in Fig. S2.

Quantification of the contributions of ON
The mass loading of NO − 3 measured by HR-ToF-AMS includes both organic and inorganic NO − 3 .The fragmentation ratio of NO + 2 to NO + (NO + x ratio) is different for ON and inorganic NO − 3 (Farmer et al., 2010;Fry et al., 2013), and the NO + 2 and NO + mass loadings for ON (NO 2,ON and NO ON ) can be estimated using the method proposed by Farmer et al. (2010): where R obs is the ambient NO + x ratio (0.531 and 0.260 for the winter and summer campaign, respectively; see Fig. S3 for details).R NO 3 NH 4 (NO + x ratio of NH 4 NO 3 ) is determined by IE calibration using monodisperse NH 4 NO 3 before and after the campaigns.The average of the two IE calibrations was used as the R NO 3 NH 4 for the campaign (0.588 and 0.381 for the winter and summer campaigns, respectively), which is comparable with the value reported elsewhere (Xu et al., 2015;Zhu et al., 2016).The value of R ON is hard to determine because it varies with instruments and precursor VOCs (Fry et al., 2013).Previous studies found that isoprene was the main biogenic VOC (BVOC) in Houston (Leuchner and Rappengluck, 2010;Kota et al., 2014), Q. Dai et al.: Seasonal differences in formation processes of oxidized OA near Houston and Brown et al. (2013) reported that monoterpenes and isoprene were frequently present within the nocturnal boundary layer in the Houston area and underwent rapid oxidation, mainly by nitrate radical (denoted as NO q 3 with a dot to differentiate it from aerosol NO − 3 ).Given the abundance of monoterpene and isoprene in the Houston area, similar to Xu et al. (2015), we assume organic nitrates formed via isoprene and beta-pinene oxidation are representative.Fry et al. (2013) assumed that the R ON /R NH 4 NO 3 value is instrument-independent and further estimated the average R ON /R NH 4 NO 3 of 2.25 for the organic nitrate standards.The R ON /R NH 4 NO 3 values vary with precursor VOC.We utilized the R ON /R NH 4 NO 3 of isoprene (2.08, Bruns et al., 2010) and beta-pinene organic nitrates (3.99, Boyd et al., 2015) from the literature to obtain an estimation range of R ON by using the NO + x method.The measured NO + x ratio can be used to separately quantify ammonium and organic nitrates as The nitrate functionality from organic nitrate was calculated as Thus, the nitrate functionality from inorganic nitrate (assuming NH 4 NO 3 is the solely important inorganic nitrate in the submicron mode) can be calculated as The accurate estimation of the total mass of ON via this method is uncertain as the actual molecular weight of the particle-phase species is unclear.The mass range of ON is estimated by assuming that the average molecular weights of organic molecules with nitrate functional groups are 200 to 300 g mol −1 (Surratt et al., 2008;Rollins et al., 2012).Previous work found that the NO q 3 reaction with monoterpenes resulted in significant SOA formation and that a hydroperoxy nitrate (C 10 H 17 NO 5 ) was likely a major NO q 3oxidized terpene product in the southeastern US (Ayres et al., 2015).Here, we use the molecular weight of C 10 H 17 NO 5 (231 g mol −1 ) to calculate the ON mass.Example periods of significant ON contribution to PM are given in Fig. S4.While the values of ON concentration estimated using this method are presented in the text, the result of estimated ON including uncertainties is available in Table S2.

PMF analysis
The PMF technique has been used widely for source apportionment (Paatero and Tapper, 1994), including with HR-TOF-AMS data (Ulbrich et al., 2009;Zhang et al., 2011).The high-resolution NR-PM 1 OA mass spectra matrix (mass-tocharge ratio, m/z = 12 to m/z = 130) and the associated error matrix obtained by using PIKA version 1.19 D were used for PMF analysis.Data were prepared according to the protocol proposed by Ulbrich et al. (2009) and Zhang et al. (2011) prior to PMF analysis.The PMF model was used to decompose the measured OA mass spectra matrix by solving where X is the m × n matrix of measurement data, the m rows of X are the OA mass spectra measured at each time step, the n columns of X are the time series of each organic m/z and p is the number of factors.G i,p is the matrix that denotes the contributions of factor p at time step i, and F p,j represents the factor mass spectral profiles.E is the residual matrix.The least-squares algorithm is used to fit the data to minimize iteratively a quality of fit parameter, Q: where σ i,j is the matrix of estimated errors of the data.Solutions using PMF with two to seven factors were explored.The best solution with the optimum number of factors was evaluated carefully using an open-source PMF evaluation tool (PET version 2.08D, Ulbrich et al., 2009) following the procedures described in Zhang et al. (2011).Selection criteria included (1) variation of the ratio of Q to expected Q exp (mn − p(m + n), the degrees of freedom of the fitted data, Paatero et al., 2002) after adding an additional factor, (2) agreement between the reconstructed OA mass concentrations and the measured concentrations, (3) scaled residuals for the different ion fragments included in the dataset and variations of the residual of the solution as a function of time, (4) agreement between factor time series and time series of external tracers/individual ions, and (5) examination of factor profiles.The last two are considered to determine the physical meaningfulness of the factors.The PMF solution with factor numbers greater than five and four for winter and summer dataset, respectively, yielded no new distinct and physical meaningful factors.The Q/Q exp and the factors obtained for different FPEAK (from −1 to 1 with a step value of 0.2) values resulted in a small difference in the OA components.Because of the lowest Q/Q exp and because the use of FPEAK values different from 0 did not improve the correlations between PMF factors and potentially associated tracers, the five-and four-factor solutions with FPEAK = 0 can be well interpreted in winter and summer, respectively.The convergence of the PMF model containing five and four factors was examined by running each model from 15 different starting values (SEEDs 0-30 with a step value of 2).The small variation observed in Q/Q exp and the mass fraction of different factors as SEED changed indicate the solutions were stable.As a result, SEED 0 was chosen for the final solution.The factors were interpreted as hydrocarbonlike OA (HOA), biomass burning OA (BBOA), cooking OA (COA, identified only in the winter campaign), and two oxidized OAs -named less-oxygenated (LO-) OOA and more-oxygenated (MO-) OOA.The data treatment, factor selection and interpretation are detailed in the Supplement.As suggested by El-Sayed et al. (2016), drying of aerosol water may have led to the evaporation of condensed-phase organics.Thus, the resolved mass concentrations of OA factors here are a lower-bound, conservative estimate due to losses of aqueous-SOA in the dryer element.

Estimation of aerosol liquid water content (LWC)
Aerosol LWC includes water associated with inorganic aerosol and OA, which were calculated using a thermodynamic model and an empirical method, respectively.Inorganic LWC (W i ) in moles per liter (mol L −1 ) was predicted by ISORROPIA-II in forward mode (Fountoukis and Nenes, 2007).Inputs for ISORROPIA-II include inorganic aerosol mass concentrations (SO 2− 4 , inorganic NO − 3 and NH + 4 ) and meteorological parameters (temperature and RH).Calculation of empirical organic LWC (W O ) follows (Petters and Kreidenweis, 2007;Guo et al., 2015) where m org is the organic mass concentration (µg m −3 ) and ρ w is the density of water (1 g cm −3 ).The organic density (ρ org , g cm −3 ) was estimated using an empirical equation based on elemental ratios (Kuwata et al., 2012;Guo et al., 2015): The hygroscopicity of SOA generated during chamber studies under subsaturated regimes depends on the OA degree of oxidation (Prenni et al., 2007;Jimenez et al., 2009;Petters et al., 2009;Chang et al., 2010).A simple linear relationship between the OA degree of oxidation (defined as the fraction of the total signal at m/z 44, f 44 ) and hygroscopicity (κ org ) is used (Duplissy et al., 2011): The total LWC is then found by summing the water content associated with each mass fraction: 3 Results and discussion

Temporal dependences of submicron aerosol composition
Campaign overview data for winter and summer are shown in Table 1 and Fig. 1.This includes meteorological parameters (e.g., temperature, RH, radiometer, precipitation, wind direction and speed), trace gases (e.g., CO, SO 2 , NO 2 and O 3 ) and chemically resolved NR-PM 1 concentrations.Data indicate that the average concentration of NR-PM 1 during the winter campaign was 6.0 ± 3.7 µg m −3 , ranging from 0.5 to 14.8 µg m −3 .Mass loadings of NR-PM 1 at this measurement site are relatively smaller than at a site near the HSC in winter 2015 (10.8 µg m −3 , Wallace et al., 2018), perhaps suggesting a weaker industrial influence at the UHSL site.
The average concentration of NR-PM 1 during summer was 3.6 ± 1.7 µg m −3 , ranging from 0.3 to 13.7 µg m −3 .For comparison, a summer campaign in 2006 on an elevated building near downtown Houston showed an average NR-PM 1 concentration of approximately 11 µg m −3 (Cleveland et al., 2012).An elevated NR-PM 1 episode was observed from 28 to 31 May (Fig. 1j), with high solar radiation and O x (O x = NO 2 + O 3 ) levels during the daytime, and high RH at night, resulting in OA becoming the largest fractional species, likely due to gas-phase photochemical production of SOA together with the nighttime increase in SOA associated with high RH, lowered boundary layer and cooler temperatures.
In contrast to winter, OA during the summer campaign constituted on average 47 % ± 18 % of NR-PM 1 mass, and SO 2− 4 was the second largest component (36 % ± 15 %), followed by NH + 4 (14 % ± 5 %).NO − 3 only accounted for 2 % ± 1 % of NR-PM 1 mass in the summer, and Cl − contributed 1 % ± 0.5 % of NR-PM 1 mass.The increased planetary boundary layer (PBL) height in summer (Haman et al., 2012) likely contributed to relatively lower trace gas and NR-PM 1 levels in the summer.Secondary species contributed ∼ 88 % ± 15 % of NR-PM 1 mass, indicating that the relative importance of secondary aerosol formation increased during summer as compared to winter, especially for species such as SO 2− 4 and MO-OOA.The total OA displayed high values during the nighttime hours in both winter and summer, maintaining a high level until morning rush hour and then decreasing to a minimum value after 09:00 (Fig. 3).The summertime OA presented a small peak at noon, suggesting that photochemical formation of OA played a more important role in summer than in winter.Increasing ambient temperature and PBL height after sunrise causes repartitioning to the gas phase, likely contributing to the decrease in OA, LO-OOA and ON during daytime.Contributions of PMF factors to wintertime and summertime OA show significant differences.For wintertime OA, on average, BBOA contributed to 26 % of OA mass; MO-OOA and COA made the same contributions of 22 % to total OA mass.The LO-OOA accounted for 17 % of OA mass, followed by HOA (13 %).The POA constituted more than half of OA mass (61 %), with the remainder being OOA (39 %).
In the summer, LO-OOA represented the largest fraction of the OA mass (54 % on average), followed by MO-OOA (23 %), HOA (15 %) and BBOA (8 %).In the case of summer, OOA constituted 77 % of OA and 36 % of total NR-PM 1 mass, which are almost 2 times their relative contributions in winter.The time series of mass concentrations of NR-PM 1 species (Fig. 1) and OA factors (Fig. 4) in summer were relatively stable and repeatable, while they varied dramatically in winter due to the different meteorological conditions.

Seasonal variation of the formation of sulfate and nitrate
During the summer campaign, the prevailing southerly winds from the Gulf of Mexico carry marine aerosols to Houston (Schulze et al., 2018), resulting in a relatively high fraction of SO 2− 4 .As shown in Fig. 1g and j, the increased contribution of SO 2− 4 occurred when winds originated from the south at a high speed (e.g., 16-27 May), while the contribution of SO 2− 4 decreased significantly when winds originated from the north (e.g., 10 May and 13-15 May).During periods of southerly winds, O / C and OM / OC were relatively higher (Fig. S2c).In addition, elevated SO 2 plumes were recorded during periods of southerly winds (Fig. 1g, h), potentially as a result of emissions from the Parish coal-fired power plant.In contrast to SO 2− 4 , the fractional contribution of NO − 3 and OA increased greatly when the winds were not southerly.Primary pollutants such as CO and NO 2 were ele- vated when winds were northerly (Fig. 1h), accompanied by lower O / C and higher H / C ratios during the corresponding periods (Fig. S2c, e.g., 1, 2, 10, 15 May).Diurnal patterns of NR-PM 1 and other species in the winter and summer (Fig. 3) suggest significant seasonal dependence of sources and formation processes of NR-PM 1 species in Houston.In the case of SO 2− The total nitrate concentration was higher in winter than in summer.The NO − 3,AN was very low in summer due to its thermal instability under high temperature, while it was relatively enhanced in winter.According to the NO + x ratio method described in Sect.2.3.1, the mass fraction of NO − 3,AN in total nitrate was in the range of 65 %-66 % in winter and in the range of 19 %-39 % in summer.The averaged bound concentrations of NO 3,ON ranged from 0.22 to 0.34 µg m −3 in winter and 0.05 to 0.06 µg m −3 in summer.The seasonal variation of NO − 3,AN is much stronger than that of NO 3,ON .This is in accordance with previous observations in Atlanta, Georgia; and Centreville, Alabama (Xu et al., 2015).
The diurnal profiles of NO 3,ON show that it reached peak value before dawn in both seasons (Fig. 5).However, NO − 3,AN presents a bimodal diurnal profile in both seasons.The NO − 3,AN , which increased from late afternoon and peaked at 02:00-04:00, was likely formed through nighttime chemistry from dinitrogen pentoxide (N 2 O 5 ) hydrolysis, as the LWC displayed a trend similar to that of NO − 3,AN .This was corroborated by the observation of O x (> 25 ppb), which is needed to form N 2 O 5 (via NO q 3 ).The second peak observed during morning rush hour was likely formed through photochemical processing of NO x emitted from vehicles be-cause the traffic flow and O x level are elevated during morning rush hour.The decreasing trend of NO − 3,AN after 09:00 is presumed to be a result of enhanced PBL height and evaporation.
The estimated ON accounted for 4 %-8 % of the total NR-PM 1 and 9 %-17 % of the OA in summer and 12 %-27 % of the total NR-PM 1 and 31 %-66 % percent of the OA in winter, comparable to other studies (Fry et al., 2009;Rollins et al., 2010;Xu et al., 2015;Berkemeier et al., 2016).A proxy for the NO q 3 production rate is based on the product of the observations of [NO 2 ] and [O 3 ] ( Rollins et al., 2012), where brackets represent mixing ratios in parts per billion (ppb).The O x (> 25 ppb) and elevated NO x observed at night in summer (Fig. 3) resulted in rapid NO q 3 formation.Thus, the concurrent enhancement in ON and O 3 times NO 2 occurring during nighttime (Fig. S4) likely indicates the nocturnal NO q 3 -initiated oxidation of anthropogenic and biogenic VOCs, with the latter probably being larger than the former (Brown et al., 2013).The high N / C ratio of LO-OOA, concurrent peak value in LO-OOA and ON (MW = 231 g mol −1 ) during nighttime hours (Fig. 3), and appreciable correlation of LO-OOA and ON in summer (r = 0.73) (Fig. 4) together  suggest that particle-phase ON from NO q 3 -initiated chemistry contributed to nighttime LO-OOA in summer.

Effects of aqueous-phase and photochemical oxidation on OOA formation
On average, OOA accounted for 39 % ± 19 % of OA mass in winter but increased to 77 % ± 16 % in summer.Note that MO-OOA accounted for more than half of OOA in winter (56 %), indicating the more important role of MO-OOA in winter as compared to LO-OOA on a relative basis.In contrast, LO-OOA dominated OOA in summer (70 %).The mass spectra of MO-OOA in winter and summer are similar (Fig. 6, r = 0.84) as is the extent of oxidation (O / C = 1.10 vs. 1.07).However, LO-OOA in winter showed a different spectral pattern compared with that in summer.2016) reported a unique OOA in ambient air, termed aq-OOA (aqueous-phase-processed SOA), that strongly correlated with particle LWC, sulfate and Scontaining ions.As shown in Table 2, by comparing the mass spectra of OOA in this work with aq-OOA, it is found that the mass spectra of MO-OOA in winter in this study present a much stronger correlation (r = 0.96) with aq-OOA than does LO-OOA in winter in this study (r = 0.75).Both MO-OOA and LO-OOA in summer highly correlated with aq-OOA.This result indicates that the formation of LO-OOA in summer and MO-OOA in both seasons may involve aqueousphase chemistry.
Assuming that OOA deduced from PMF analysis can be used as a surrogate of SOA (Wood et al., 2010;Xu et al., 2017), the two OOA were used to investigate the formation mechanisms and evolutionary processes of SOA.Previous studies have found SOA correlated well with odd oxygen (O x ) in many cities (Wood et al., 2010;Sun et al., 2011;Hayes et al., 2013;Zhang et al., 2015;Xu et al., 2017) and that SOA formation is significantly impacted by aqueousphase processing (Lim et al., 2010;Ervens et al., 2011;Xu et al., 2017).The relationships between OOA factors and O x / LWC were used as the metrics to characterize SOA formation mechanisms associated with photochemistry/aqueous oxidation chemistry (Xu et al., 2017).It should be noted that a fit for the binned data likely results in an increase in R 2 compared to the fit for the original data.For example, the correlation coefficient of the fit for the averaged binned wintertime MO-OOA (increased from 0.57 to 0.98 µg m −3 ) vs. LWC (increased from 2.5 to 40 µg m −3 ) is 0.55, while it is 0.06 for the original data (Fig. 7i).
The data associated with the artificially created bins in both seasons did not pass the normal test and homogeneity test of variances.The statistical significance of differences between bins was then tested using the Kruskal-Wallis analysis of variance (K-W ANOVA).The differences between winter and summer data of the bins were significant.Thus, the Dunn-Bonferroni test was performed for the post hoc pairwise comparisons.It was found that the difference of all measured variables in different bins shown in Fig. 7 were significant (p < 0.01).The results can be found in Tables S6-S7. Figure 7c and d present a clear positive trend of RH as a function of LWC in both winter and summer, which implies an increased potential for aqueous-phase processing at high RH level, enhanced by low wind speed that allows accumulation of pollutants (Fig. 7e, f).The patterns of other parameters as LWC increases in winter were different from those in summer.
The variation of binned mean OA mass against LWC presents a significant seasonal difference (Fig. 7a, b).In winter, the OA mass increased when LWC increased from 2.5 to 12.5 µg m −3 but decreased as the LWC increased further.In summer, the OA mass slightly decreased when LWC increased from 1.25 to 6.25 µg m −3 but slightly increased when LWC increased further, suggesting the production of OA is not as strong as that in winter because of the relatively lower LWC in summer.
The winter LO-OOA mass decreased dramatically when LWC > 12.5 µg m −3 (RH > 80 %, Fig. 7c), while MO-OOA continues increasing until LWC > 40 µg m −3 .This result indicates that wet removal may dominate under an extremely high RH environment coupled with stagnant air (WS < 2 m s −1 , Fig. 7e) or that LO-OOA production decreased at extremely high LWC level (Fig. 7a).Specifically, average LO-OOA (Fig. 7g, h) in winter increased from 0.3 to 0.9 µg m −3 when LWC increased from 2.5 to 7.5 µg m −3 but decreased as the LWC increased further, particularly when LWC > 40 µg m −3 .The slope of this decrease was approximately −0.008 µg LO-OOA per µg of LWC. Figure 7a shows that 64 % of the data points were observed in the situation of low LWC (< 12.5 µg m −3 , RH < 80 %), when the increase in LO-OOA was largest.
In contrast, LO-OOA in summer showed a decreasing trend under low LWC level (LWC < 6.25 µg m −3 , RH < 80 %) but an increasing trend from approximately 0.77 to 1.8 µg m −3 as LWC increased from 6.25 to 27.5 µg m −3 , a slope of 0.053 µg LO-OOA per µg of LWC.The relatively high summer LO-OOA under low LWC level was likely more regional, with contributions from possibly transported nonaqueous OOA, as the wind speed in this case was relatively high and RH was low.The production of LO-OOA under high LWC level may have been enhanced by local aqueousphase heterogeneous chemistry.
MO-OOA slightly increased during both seasons as LWC increased (Fig. 7i, j).In winter, MO-OOA presented an in- creasing trend from 0.57 to 0.98 µg m −3 when LWC increased from 2.5 to 40 µg m −3 but decreased slightly as the LWC increased further.The slope of this increase was approximately 0.008 µg MO-OOA per µg of LWC with a correlation coefficient of 0.55.In summer, MO-OOA appears to increase from 0.49 to 0.64 µg m −3 when LWC increased from 2.5 to 27.5 µg m −3 , with a slope of 0.005 µg MO-OOA per µg of LWC (R 2 = 0.34).In winter, because of the decrease in LO-OOA with LWC, the relative fraction of MO-OOA increases as LWC increases.
The mutual effect of aqueous-phase and photochemistry on OOA formation prevents solely evaluating the role of the two processes.Sullivan et al. (2016) reported multiple lines of evidence for local aq-SOA formation observed in the Po Valley, Italy, during times of increasing RH, which coincided with dark conditions.Thus, the daytime data were separated to examine the variation of OOA against O x .The relationship between OOA and aqueous-phase chemistry was investigated further by excluding the daytime data, with the aim of diminishing the instantaneous influence of photochemistry on the data.To do so, nighttime and daytime were based on sunrise and sunset in Houston during the two campaigns (https://www.timeanddate.com/sun/usa/houston,last access: 9 July 2019).On average, the day lengths are 11 h 10 min and 13 h 35 min for the campaigns in February and May 2014, respectively.
A potential linear relationship between OOA and LWC for the nighttime data was investigated by fitting the data with a locally weighted scatter plot smoothing algorithm (LOWESS, Cleveland, 1981).According to the LOWESS curves for the original nighttime data and the resampled data obtained by a bootstrap method (Figs.S14-15), there likely exists a linear relationship between LO-OOA and LWC for data points with LWC less than 20 µg m −3 and greater than 6 µg m −3 for the winter and summer periods, respectively.As for MO-OOA, such a linear relationship likely exists when LWC is less than 50 and 7 µg m −3 for the winter and summer periods, respectively.
Figure 8 presents the scatter plots of OOA vs. LWC during nighttime for the two campaigns.The green dots denote the increasing trend of OOA against LWC.It is found that the increase in wintertime LO-OOA under low LWC level (< 20 µg m −3 ) during the night is stronger than that shown in Fig. 7g.The nighttime LO-OOA linearly increased from 0.04 to 0.64 µg m −3 when LWC increased from 2.5 to 17.5 µg m −3 , a slope of 0.033 µg LO-OOA per µg of LWC.This result indicates that the nighttime production of LO-OOA in winter may be more likely formed via aqueous-phase chemistry in aerosol liquid water than that in daytime.The production of LO-OOA under high LWC level (LWC > 6.25 µg m −3 ) in summer during nighttime (0.055 µg LO-OOA per µg of LWC) was comparable to the increase rate of whole dataset (0.053 µg LO-OOA per µg of LWC).The nighttime increasing trends of MO-OOA against LWC in both seasons are stronger than those shown in Fig. 7i and j with respect to the correlation coefficient values.The slope of the nighttime increase in MO-OOA against LWC during the winter campaign was 0.013 µg MO-OOA per µg of LWC, which is 1.7 times the slope for the whole dataset (daytime and nighttime).For the summer campaign, the increase in nighttime MO-OOA is 2.2 times the rate for the whole dataset.
These results suggest that aqueous-phase processing likely has a strong positive impact, particularly at night, on the production of MO-OOA in the two seasons except for instances when LWC exceeds 100 µg m −3 in winter.It also appears to facilitate the local production of LO-OOA under low LWC level (< 17.5 µg m −3 ) in winter and under relatively high LWC level (> 6.25 µg m −3 ) in summer.
As mentioned previously, ON contributes significantly to summertime LO-OOA, and the concurrent enhancement in ON and LO-OOA during night was associated with ele- vated RH (Fig. 3).A previous study found that the partitioning of organic compounds to the particle phase was significantly increased at elevated RH levels (70 %) in an urban area dominated by biogenic emissions in Atlanta (Hennigan et al., 2008).The correlation of ON and LO-OOA in summer nighttime (r = 0.76) was stronger than that during daytime (r = 0.53).This is likely due to the higher ON yields from NO q 3 -initiated chemistry involving BVOCs during nighttime compared to hydroxyl-radical-initiated chemistry involving BVOCs during daytime.Additionally, the concurrent enhancement of the LWC and nitrate functionality from organic nitrate during nighttime demonstrates that the LWC does not inhibit increases in concentration, as might be expected if hydrolysis occurred rapidly.The range for summer is 20 to 70 ppb.The data associated with the artificially created O x bins in both seasons did not pass the normal test and homogeneity test of variances.The K-W ANOVAs for winter and summer data of the bins were significant.The Dunn-Bonferroni test for the post hoc pairwise comparisons shows that the differences of measured variables among different bins shown in Fig. 9 were significant (Tables S8-S9).The clear positive relationship between solar radiation and O x is shown in Fig. 9c and d, and the negative relationship between RH and O x is shown in Fig. 9e and f, confirming strong atmospheric photochemical activity associated with high-O x periods.
The variations of LO-OOA and MO-OOA showed substantially different patterns with increases in O x in winter and summer.In winter, LO-OOA and MO-OOA showed comparable increasing trends at low O x level (< 35 ppb), with MO-OOA having a stronger response.The LO-OOA increased from 0.13 to 0.72 µg m −3 when O x increased from 5 to 35 ppb but decreased as the O x increased further.The slope of this increase was approximately 0.023 µg LO-OOA per ppb of O x .MO-OOA increased from 0.13 to 0.88 µg m −3 when the O x increased from 5 to 35 ppb, with a slope of 0.027 µg MO-OOA per ppb of O x .This leads to a maximum in the mass fraction of MO-OOA as O x approached its highest observed levels.
In summer, there is a clear decreasing trend of RH with increases in O x .As discussed previously, the high level of summertime LO-OOA likely was associated with high LWC.Therefore, the high mass fraction of LO-OOA at the lowest O x level (< 20 ppb) associated with the high RH / LWC was likely from aqueous-phase chemistry.After excluding low-O x data (< 20 ppb), LO-OOA showed a much stronger response to O x than did MO-OOA.The summer LO-OOA increased from approximately 0.6 to 1.8 µg m −3 when O x increased from 25 to 65 ppb, a slope of 0.03 µg LO-OOA per ppb of O x .This increase was likely in the case of low-RH conditions (< 80 %, Fig. 7d), when aqueous-phase chemistry was less likely to promote the production of LO-OOA (Fig. 7h).Summer MO-OOA increased from 0.36 to 0.67 µg m −3 when O x increased from 25 to 55 ppb but decreased as the O x increased further.The slope of this increase was 0.007 µg MO-OOA per ppb of O x .Contrary to winter, LO-OOA in summer responded more strongly to increases in O x than MO-OOA did.
The relationship of OOA vs. O x was examined further by excluding nighttime data.According to the LOWESS curves for the original daytime data and the resampled data obtained using a bootstrap method (Figs.S16-S17), there likely exists a linear relationship between LO-OOA and O x when O x is less than 35 ppb and greater than 20 ppb for the winter and summer period, respectively.As for MO-OOA, the linear relationship likely exists for data points with O x less than 35 ppb for the winter period, but it is less prominent.
Figure 10 presents the scatter plots of daytime OOA vs. O x for the winter and summer campaign.The daytime responses of LO-OOA and MO-OOA to O x in winter were ∼ 1.5 times that for the whole dataset (Fig. 9g, i), and the increase rate of MO-OOA was higher than that of LO-OOA.In summer, the slope of the daytime increase in LO-OOA was 1.24 times that for the whole campaign (Fig. 9h).These results suggest that the photochemical enhancement of OOA in winter on a per-O x basis was more prominent than that in summer.For the summer campaign, the formation of LO-OOA appears to be more strongly linked to photochemistry compared to MO-OOA.
The combined effects of photochemistry and aqueousphase chemistry on OOA composition during winter and summer are further demonstrated in Fig. 11.The ratio of MO-OOA / LO-OOA in winter showed the highest values on the top-left corner in Fig. 11a, suggesting photochemical processing was likely responsible for MO-OOA formation, under low LWC levels (< 10 µg m −3 ).Additionally, data with high MO-OOA / LO-OOA on the bottom-right corner in Fig. 11a indicate the important role of aqueous-phase chemistry under low O x and high LWC levels.Overall, the concentration of MO-OOA in winter increased as O x / LWC increased, whereas LO-OOA markedly decreased.This result indicates both photochemical and aqueous-phase processing played a more important role in enhancing MO-OOA than LO-OOA in winter.
In summer, data points with a low MO-OOA / LO-OOA value on the top left of Fig. 11b illustrated that LO-OOA was enhanced in high-O x and low-LWC conditions, though the low MO-OOA / LO-OOA values are not confined to just the top left.In the case of a high LWC level (LWC > 6.5 µg m −3 ), MO-OOA / LO-OOA were much lower (on the right of Fig. 11b, particularly when LWC > 10 µg m −3 ).Although MO-OOA increased with LWC and O x , the increase in LO-OOA was more significant.The effects of both photochemistry (≥ 25 ppb) and aqueous-phase chemistry (≥ 6.5 µg m −3 ) were more relevant for the formation of LO-OOA than MO-OOA.On average, the mass concentration of LO-OOA was elevated by nearly 1.2 µg m −3 as a ∼ 20 µg change in LWC (increased from 6.25 to 27.5 µg m −3 , Fig. 7h), which is equivalent to a 40 ppb change in O x (increased from 25 to 65 ppb, Fig. 9h).This result further suggests that the aqueous-phase chemistry is comparable to photochemistry in processing LO-OOA in summer.which is influenced by high biogenic emission rates.Nitrate was the second largest component in winter (23 %) but accounted for only 2 % of NR-PM 1 mass in summer; SO 2− 4 was the second largest component in winter (23 %) and summer (36 %), respectively.ON, on average, accounted for 31 %-66 % and 9 %-17 % of OA during the winter and summer campaign, respectively.The summertime ON correlated very well with LO-OOA and concurrently peaked at nighttime.It is likely that ON from NO q 3 -initiated oxidation of BVOC in the forested northeastern Houston contributed greatly to nighttime LO-OOA in summer and that LWC did not inhibit the resulting concentration growth.
Contributions of factors to wintertime and summertime OA show distinct differences.For wintertime OA, on average, BBOA contributed 26 % of OA mass, and MO-OOA and COA made the same contribution of 22 % to total OA mass.
LO-OOA accounted for 17 % of OA mass, followed by HOA (13 %).In the summer, LO-OOA represented the largest fraction of the OA mass, 54 % on average.The second largest contributor was MO-OOA (23 %).Together, POA constituted more than half of OA mass (61 %) in winter, while it accounted for 23 % of OA mass in summer, highlighting the enhanced impact of primary emissions on OA level during wintertime.Secondary aerosols account for ∼ 76 % and 88 % of NR-PM 1 mass in winter and summer, respectively, indicating NR-PM 1 mass was likely driven mostly by secondary aerosol formation.
The two proxies of SOA (LO-OOA and MO-OOA) presented seasonal differences in their spectral patterns, oxidation degrees and contributions to SOA.MO-OOA showed a higher contribution to SOA than LO-OOA in winter (56 % vs. 44 %).In contrast, LO-OOA dominated SOA in sum-mer (70 %).Our results indicate that both photochemical and aqueous-phase chemistry, as suggested by relationships to O x and LWC, played important roles in the formation of MO-OOA and LO-OOA.Aqueous-phase processing likely has a strong positive impact on the formation of MO-OOA in the two seasons, especially in winter.The relationships between MO-OOA and LWC were 0.008 and 0.005 µg MO-OOA per µg of LWC during winter and summer, respectively.Wet removal or decreased formation rates likely limit MO-OOA when LWC exceeds 100 µg m −3 in winter.The relative importance of aqueous-phase chemistry vs. photochemistry in processing LO-OOA was dependent on RH.Aqueousphase processing potentially facilitated the local formation of wintertime LO-OOA at a low LWC level (< 17.5 µg m −3 , RH < 80 %), with a stronger dependence (0.033 µg LO-OOA per µg of LWC) than MO-OOA.In summer, the formation of LO-OOA may have been enhanced by aqueous-phase processing at a relatively high LWC level (> 6.25 µg m −3 , RH > 80 %) with a slope of 0.053 µg LO-OOA per µg of LWC, while LO-OOA was likely transported nonaqueous regional OOA when LWC < 6.25 µg m −3 .These increases in OOA in relation to LWC were greatly enhanced during nighttime.Aqueous-phase chemistry also appears important in the formation of summertime LO-OOA at low atmospheric oxidative capacity (O x < 20 ppb).In general, summertime LO-OOA showed a much stronger response to O x than did MO-OOA, with a slope of 0.030 µg LO-OOA per ppb of O x .LO-OOA in summer was elevated by nearly 1.2 µg m −3 as a ∼ 20 µg change in LWC, which is equivalent to a 40 ppb change in O x .
Data availability.Datasets are available by contacting the corresponding author.
Author contributions.QD performed the data analysis and wrote the manuscript.RJG and YF assisted heavily with manuscript development and editing.HWW, AATB, JHF and BLL contributed to data collection during the field campaigns.BCS, HWW, AATB and NPS contributed with data analysis.XB, BCS, AATB, FG, NPS and JHF provided helpful comments and edits.
Competing interests.The authors declare that they have no conflict of interest.

Figure 1 .
Figure 1.Time series of data collected at UHSL in Houston during the sampling periods in winter and summer 2014.Time series of 5 min average campaign data for (a, f) ambient temperature (T ), relative humidity (RH) and total cloud cover (%, with 3 h interval); (b, g) precipitation and wind direction (WD), with colors showing different wind speeds (WS); (c, h) CO, SO 2 and NO 2 ; (d, i) O 3 , O x (NO 2 + O 3 ) and solar radiometer; (e, j) NR-PM 1 species, including OA, NO − 3 , SO 2− 4 , NH + 4 and Cl − .

Figure 2 .
Figure 2. Average composition of NR-PM 1 species and OA factors during the winter (a, c) and summer campaign (b, d) at UHSL.

Figure 4 .
Figure 4. Time series of each OA factor and associated correlated species for the winter and summer campaign at UHSL.

Figure 5 .Figure 6 .
Figure 5.Diurnal profiles of the estimated range of nitrate functionality from organic nitrate (a) and inorganic nitrate (b) for the winter and summer campaigns.Estimated water associated with inorganic and organic aerosol for the winter (c) and summer campaigns (d).Solid lines denote the mean value (blue for winter, green for summer), and bars represent the 5 % and 95 % confidence interval in the mean.

Figure 7 .
Figure 7. OA mass and frequency histograms of data points in each LWC bin for winter (a) and summer (b).Variations of RH, WS, LO-OOA and MO-OOA mass as a function of LWC in winter (c, e, g, i) and summer (d, f, h, j).The data were binned according to the LWC (with different increment values), and mean (circle), median (horizontal line), 25th and 75th percentiles (lower and upper box), and 5th and 95th percentiles (lower and upper whiskers) are displayed for data in each bin.

Figure 8 .
Figure 8. Scatter plots of nighttime OOA vs. LWC for the winter and summer campaign.The linear equations are given for fitting only the green dots.Solid dots denote the average value of data in each bin.Bars indicate standard deviations.

Figure 9 .
Figure 9. OA mass and frequency histograms of data points in each O x bin for winter (a) and summer (b).Variations of solar radiation, RH, LO-OOA and MO-OOA mass as a function of LWC in winter (c, e, g, i) and summer (d, f, h, j).The data were binned according to the O x (10 ppb increment), and mean (circle), median (horizontal line), 25th and 75th percentiles (lower and upper box), and 5th and 95th percentiles (lower and upper whiskers) are displayed for data in each bin.
Figure 9a and b present the frequency distribution of O x .Winter O x are binned in 10 ppb increments from 0 to 60 ppb.

Figure 10 .
Figure 10.Scatter plots of daytime OOA vs. O x for the winter and summer campaign.The linear equations are given for fitting the green dots.Bars indicate standard deviations.

Figure 11 .
Figure 11.O x vs. LWC dependence of the ratio of MO-OOA / LO-OOA in winter (a) and summer (b).

Table 1 .
Statistics of meteorological parameters, gas-phase pollutants, NR-PM 1 species and PMF OA factors for the winter and summer campaigns at UHSL.
a BDL: below detection limit.b Statistically determined factor concentrations with values below 1.0 × 10 −3 are listed as 0.