4.3.1. Positive Matrix Factorization
The contributions of the different SOA sources were investigated using the EPA’s Positive Matrix Factorization model (EPA PMF 5.0) and using the concentrations and uncertainties of 12 groups, including iOSs, mtOSs, stOSs, alkOSs, tmbOSs, NOSs, msOSs, DCAs, MCAs, AROMCAs, HCAs, and PNAs, as input. A total of 84 samples (after excluding outliers) were considered in the PMF model. The input matrix (84 × 12) adhered to the requirements for a statistically stable factor analysis. The uncertainties associated with the data were calculated according to the PMF User Guide [
34]. Detailed information can be found in
Appendix B. The number of factors was chosen considering the ratio of robust-to-theoretical parameters (QR/QT). To improve the quality of the profiles obtained, constraints were added. For the interpretation of the results and the apportionment of each factor, both the contributions of the species to each factor and the % percentage constitution of the species based on the five factors were taken into account (
Table A3 and
Table A4,
Appendix B). Specifically, the species with the higher yield in each factor was defined as the factor’s attribution to a potential source, while the variability in the species defined the total abundance of a factor to provide insights beyond the source and correlate the factor with specific formation pathways.
Figure 7 presents the 5 Factor Profiles, resulted from PMF. Factor 1 was defined by msOSs (95.5%) and the highest alkOS (15%) and iOS (10.2%) yields. Based on similar findings ([
35,
36]), the three OS species were characterized as isoprene oxidation products via oxidation of IEPOXY-diols. Thus, Factor 1 was attributed to “isoprene oxidation”. The formation mechanisms of most of these species are known to be driven by ozone levels, as discussed in
Section 4.3.2, and this could explain the loadings of AROMCAs, HCAs, and PNAs in Factor 1.
Similarly, Factor 2 was defined by MCAs (91.3%) and contributed to stOSs (15.8%), tmbOSs (13.0%), and DCAs (11.5%). Since MCAs have been associated with emissions from burning biomass [
37], Factor 2 can be attributed to “biomass burning”. High-molecular-weight DCAs have been also found to derive from biogenic sources in other studies [
38]. It is interesting to note that, to date, there is little evidence that stOSs and tmbOSs are emitted or instantly formed on site during BB [
39]. However, stOSs are products of sesquiterpenes found in plants and living organisms, mainly marine organisms and fungi, which have lower volatility than monoterpenes; thus, it is possible that they are also present in biomass stocks, especially in coastal areas. Aromatic compounds, such as trimethylbenzene, have also been found in BB emissions.
Factor 3 was the first factor showing a higher variability in its defining groups. The msOSs (48.6%) had the highest contribution to the factor profile, followed by DCAs (20.4%). Μost of the OS groups had high contributions to Factor 3: iOSs (72.8%), tmbOSs (42.7%), mtOSs (36.4%), msOSs (24.2%), stOSs (23.2%), and alkOSs (16.7%). In addition, most of these species’ normalized concentrations exhibited a high correlation (R
2 > 0.7) with SO
42− levels (
Figure 8), similar to the findings previously reported in [
40] where SOA products of methyltetrols were weakly correlated with aerosol acidity and SO
42− level. DCAs had a comparable contribution to Factor 3 (16.9%) and showed a high correlation (R
2 > 0.7) with SO
42− levels as well, which indicates that some DCAs, especially the low-molecular-weight ones, could be second-generation oxidation products. In conclusion, we attributed Factor 3 to “second-generation SOA formation” via sulfur oxides. It is notable that NOSs, the only organosulfate group remaining from those studied, did not contribute to Factor 3, nor did it correlate with SO
42− levels; on the contrary, it showed a negative correlation, indicating a different formation pathway and a negative effect of aerosol acidity on the formation of organonitrate compounds. This intriguing finding could indicate a strong effect of NO
3 radical chemistry and possible competition with sulphate pathways. N. L. Ng et al. [
41] have already highlighted that nitrate radical reactions can compete with hydroxyl radical reactions, especially for multifunctional compounds and during night time when photochemistry as the main source of OH∙ is less important.
Factor 4 was also dependent on multiple groups, similar to Factor 3. It was mostly defined by MCAs (34.6%), as well as DCAs (25.1%) and HCAs (19.3%). Similar to Factor 3, most of the organic acid groups showed high contributions to this factor: DCAs (71.5%), PNAs (39.8%), AROMCAs (32.8%), and HCAs (22.5%). Organic acids have been generally characterized as first-generation SOA species, so Factor 4 was attributed to “first-generation SOA formation”. The fact that the factor is defined by MCAs shows that they are precursor compounds, which are transformed to DCAs through various oxidation processes. HCAs have been known to act as chain-reaction intermediates in the production of high-molecular-weight DCAs from MCAs, especially the unsaturated ones ([
42,
43]). This hypothesis is strongly supported by the contribution of each species to the factor. Furthermore, PNAs as well as AROMCAs were correlated with Factor 4 and although they are believed to have different precursors, this is an indication that they can form during primary organic aerosol formation. In general, Factors 3 and 4 could be indicative of aerosol aging, assuming that Factor 3 refers to the second stage of aging of aerosol sulphates and photocatalysis when exposed to sunlight, and Factor 4 refers to the first stage of aging through oxidation processes, which mostly depends on the atmospheric oxidant levels.
Finally, Factor 5 was defined by HCAs (48.6%) and PNAs (12.2%), and it has high contributions from NOSs (68.5%), AROMCAs (60.2%), HCAs (49.0%), and PNAs (43.3%). The contributions of HCAs and PNAs to the factor indicates that the oxidation of pinenes could be the source. In previous studies [
15,
44], pinene-oxidation markers have been paired with isoprene-oxidation markers and correlated with high NO
x levels. Therefore, we assessed the correlation of all the species connected to this factor with NO
x levels. All correlation coefficients were found to be statistically significant (R
2 > 0.7) (
Figure 9), providing evidence for the formation of the aforementioned groups through nitrogen oxide pathways. So, we attributed Factor 5 to “pinene oxidation” via nitrogen oxides. The proposal that pinene–NO
x interactions lead to the formation of HCAs and PNAs is supported by recent literature [
45].
4.3.2. Principal Component Analysis
The five factors, presented in
Table 3, explained 68% of the total variance; the lowest factor score was 0.5.
Factor 1 (27% of the variance) was loaded with mostly biogenically derived SOAs, like iOSs, msOSs, DCAs, and HCAs. On the other hand, the groups that were the least influenced by anthropogenic emissions, like tmbOSs, show high yields for the first factor. Therefore, Factor 1 was not affected by a specific source. We further investigated the formation pathways that these species may follow. We normalized the SOA levels based on the inorganic gases acting as atmospheric oxidants (nitrogen oxides and ozone), as well as sulfur dioxide that contributes to aerosol acidity and consequently to transformation processes. We found that these specific groups showed strong correlations (R
2 > 0.5) with ozone levels, pointing to a specific formation pathway (
Figure 10). As a result, Factor 1 was associated with “oxidation processes via ozone”. Other studies have reported similar observations of O
3 correlations with BSOAs in forested regions [
46]. We observed high correlations between MCA and ozone levels as well, although they did not have a high loading for Factor 1. On the contrary, their highest loading was for Factor 4 so they will be discussed later. Interestingly, DCAs did not show high correlation with ozone levels. In fact, the DCAs were most abundant when ozone levels were at their lowest, although they increased proportionally to O
3, from approximately 80 μg∙m
−3 of ozone. This can be an indicator that DCAs are intermediates in the formation of other SOAs. At relatively low ozone levels, primary emissions can form DCAs, which then undergo similar processes to form second-generation SOAs. This is consistent with Factor 3 from the PMF analysis.
Factor 2 was tightly clustered with mtOSs, NOSs, and also tmbOSs, which showed a loading similar to that for Factor 1. These groups are generally considered to be anthropogenically derived, although they are not known to have the same precursors, nor do they have a common oxidation process. By examining the normalized data, we found that they share a common influence: sulfur dioxide (SO
2). There have been numerous reports in the recent literature concerning the influence of SO
2 on aerosol acidity and if it affects SOA formation. The reports are highly controversial and to this day, there is no a clear consensus. Jiang et al. found strong correlations between OSs and SO
2 in chamber experiments and they also identified OSs in field samples. H. O. T. Pye et al. [
47] also pointed out the importance of SO
2 in SOA formation, stating that the promoting effect of SO
2 might be related to the increase in particle acidity. The chamber experiments that they performed showed that increasing the SO
2 concentration seemed to benefit SOA formation under both high and low NO
x conditions. According to our observations, a certain sulfur dioxide level prompts OS formation (
Figure 11). At the level of 3.1 μg∙m
−3 of SO
2, there was a spike of aromatic and nitro-oxy organosulfates that was not observed for any other group. Bougiatioti et al. [
14], also pointed out a specific SO
2 level of 2 μg∙m
−3 as the optimal concentration for SOA formation in a Mediterranean area. It is possible that lower concentrations of SO
2 do not promote SOA formation, whereas at higher levels, the particle acidity might cause further aerosol transformation. Yang et al. also found that the abundances of relatively low-molecular-weight compounds (
m/
z < 200) decreased in experiments when SO
2 was added, indicating that the presence of SO
2 may promote oligomer formation in the particle phase. Thus, Factor 2 was attributed to “aerosol acidity due to the presence of SO
2”. Some studies have argued that SOA levels are suppressed by SO
2 because it competes for oxidants [
32]. This study’s findings strongly support the catalytic action of SO
2. It is possible that NO
x and O
3 act synergistically and mediate the interaction of SO
2 and aerosol compounds to enhance a particular oxidation pathway involved in aerosol aging.
Factor 3 was loaded with dicarboxylic and pinic-related organic acids, which could be direct emissions rather than produced SOAs. They are known to derive from plant emissions so we attributed this factor to “biogenic sources”. This factor has similarities with Factor 4 from the PMF analysis, but it has fewer group loadings and therefore cannot statistically support the first-generation SOA assumption.
Factor 4 correlated with two groups: alkOSs and AROMAs, which showed stable levels throughout the year, i.e., did not show seasonal trends, and are believed to mainly derive from “anthropogenic sources”. AROMA levels were highly correlated with NOx levels in the atmosphere (R2 = 0.850 for normalized concentrations of AROMAs based on NOx levels). The correlation between nitrogen oxides and alkOSs was not as significant at AGM (R2 = 0.13), but they were highly correlated at LIMTRA (R2 = 0.70) and in other studies as well. This is not surprising since aromatic compounds are more stable and have a longer lifetime. Their subsequent oxidation after they were transported away from where they were emitted (city centers) was affected by the NOx levels at AGM. On the other hand, the alkOSs detected at AGM may have formed close to their emission site so they were not correlated with NOx levels.
Factor 5 seems to be correlated with high-molecular-weight C16-C18 organic monocarboxylic acids. They displayed unique seasonal distributions, with their highest levels occurring in spring. They are of biogenic origin and they appear to be highly correlated with O3 levels, indicating that ozone is the main oxidant in their formation process. However, their levels are strongly influenced by anthropogenic activity like biomass burning, cooking, and burning fuel. Therefore, they had much higher yields compared to the other SOA species that define Factor 1. Also, they reach their highest levels during the cold period, unlike the other species. The strong “anthropogenic influence of biogenic emissions” is believed to differentiate MCAs and define Factor 5. These findings agree with those of the PMF analysis, where Factor 2 correlated MCAs and stOSs.