Chemical Composition and Source Apportionment of Total Suspended Particulate in the Central Himalayan Region

: The present study analyzes data from total suspended particulate (TSP) samples collected during 3 years (2005–2008) at Nainital, central Himalayas, India and analyzed for carbonaceous aerosols (organic carbon (OC) and elemental carbon (EC)) and inorganic species, focusing on the assessment of primary and secondary organic carbon contributions (POC, SOC, respectively) and on source apportionment by positive matrix factorization (PMF). An average TSP concentration of 69.6 ± 51.8 µg m − 3 was found, exhibiting a pre-monsoon (March–May) maximum (92.9 ± 48.5 µg m − 3 ) due to dust transport and forest fires and a monsoon (June–August) minimum due to atmospheric washout, while carbonaceous aerosols and inorganic species expressed a similar seasonality. The mean OC/EC ratio (8.0 ± 3.3) and the good correlations between OC, EC, and nss-K + suggested that biomass burning (BB) was one of the major contributing factors to aerosols in Nainital. Using the EC tracer method, along with several approaches for the determination of the (OC/EC)pri ratio, the estimated SOC component accounted for ~25% (19.3–29.7%). Furthermore, TSP source apportionment via PMF allowed for a better understanding of the aerosol sources in the Central Himalayan region. The key aerosol sources over Nainital were BB (27%), secondary sulfate (20%), secondary nitrate (9%), mineral dust (34%), and long-range transported mixed marine aerosol (10%). The potential source contribution function (PSCF) and concentration weighted trajectory (CWT) analyses were also used to identify the probable regional source areas of resolved aerosol sources. The main source regions for aerosols in Nainital were the plains in northwest India and Pakistan, polluted cities like Delhi, the Thar Desert, and the Arabian Sea area. The outcomes of the present study are expected to elucidate the atmospheric chemistry, emission source origins, and transport pathways of aerosols over the central Himalayan region.


Introduction
Deterioration of air quality is a global concern, particularly in South and Southeast Asia, where levels of pollutants frequently exceed the air quality guidelines established with specific source regions. This is the first receptor modeling study in the central Himalayan region and can provide reference information on local/distant aerosol source contributions and supplement emission inventories, with the overarching goal of supporting the assessment of climate impacts over the central Himalayan region.

Site Description
The observational site Manora Peak hill (29.39° N, 79.45° E, 1958 m a.s.l.), Nainital, is a high-altitude site in the Gangetic Himalayan (GH) region that is surrounded by forested areas and high-altitude mountains to the northeast and opens to the Ganges valley to the southwest ( Figure 1). The site is far away from large-scale industries, power plants, and major polluted cities (about 235 km away from Delhi) [34,37]. The site is located in a sparsely populated area with a total population of 0.5 million (according to the 2011 census) and is considered representative for background and regional conditions and strategically located for climate change studies [38]. Smoke plumes from paddy and wheat residue burning affect the site in post-monsoon/autumn period (September-November) and in pre-monsoon/spring (March-April), respectively [39,40], while, in winter, carbonaceous aerosols from local wood-burning emissions for domestic heating are enhanced [34,41]. During the summer/monsoon months (June-August), the long-range transported dust dominates due to the escalation of dust activity over the Thar Desert and Southwest Asia [42]. The geographical and atmospheric conditions in Nainital efficiently represent the background conditions in the central Indian Himalayas, while polluted air masses from the Ganges valley affect the site, being strongly dependent on prevailing meteorology and boundary-layer dynamics [43][44][45].

Aerosol Sampling and Chemical Analysis
This study is based on results of chemical analysis in TSP samples that were previously collected onto pre-combusted quartz-fiber filters (PALLFLEX TM , 2500QAT-UP; size: 20.0 × 25.4 cm 2 ) using an Andersen's high-volume sampler (Envirotech APM-430; Envirotech Instruments Pvt. Ltd., http://www.envirotechindia.com), operating at an average flow rate of 1 m 3 min −1 . The sampling duration ranged between 15 and 20 h, while the sampling frequency was initially fixed to one sample per two weeks, and later increased to one sample per week. In total, this study utilized 65 samples that were collected during the period February 2005 to February 2008, and chemically analyzed as described elsewhere [7,46]. The TSP and chemical analysis dataset that is used here for source apportionment was initially presented by Ram et al. [7] and extended up to July 2008. However, from March 2008 to July 2008, water-soluble organic carbon (WSOC) and cation samples were not determined. Therefore, for the sake of consistency in the dataset, results from March 2008 to July 2008 were not considered and 65 samples (February 2005-February 2008) were used for further analysis.

Estimation of POC and SOC
In the current study, the POC and SOC mass concentrations were estimated via the EC tracer method [49,50]. This method is based on measured OC and EC mass concentrations and the use of an appropriate primary OC-to-EC ratio: where the (OC/EC)pri is the primary OC/EC ratio in freshly emitted combustion aerosols. The critical point of the EC tracer method is to determine a representative value of the (OC/EC)pri ratio, which is site-, source-, and aerosol-type-specific and highly sensitive to the method used for its determination [49,51]. There are several approaches reported in the literature for the estimation of (OC/EC)pri, such as consideration of the minimum OC/EC ratio, estimation using the lower percentiles (e.g., 5-25%) of OC/EC, the minimum R-square (MRS) method, as well as different regression techniques [51][52][53]. Recently, Wu et al. (2019) [51] combined the EC tracer method with MRS and found more robust estimates of SOC compared to those based on (OC/EC)min and lower OC/EC percentiles. The main assumption of the MRS method is that the EC is inherently unrelated to SOC and, hence, the (OC/EC)pri should be the ratio resulting in minimum correlation (near-zero R 2 ) between estimated SOC and measured EC [51,53]. In this study, the POC and SOC components were estimated in Nainital from the 65 samples using three approaches, i.e., (OC/OC)min, 25% OC/EC percentile, and MRS, allowing the stability of the estimated SOC fractions to be examined.

Ion Balance and Neutralization Factors
An ion balance check was performed using the assumption that the anions (Cl − , NO3 − , and SO4 2− ) and cations (Na + , NH4 + , K + , Mg 2+ , and Ca 2+ ) make up the majority of watersoluble ions. According to the charge conservation law, the total cation equivalents (CE) and total anion equivalents (AE) must be equal. The AE (CE) is estimated as a sum of each anion (cation) divided by its equivalent weight. The percent ion difference (ID [%]) was estimated from the following equation: Neutralization factor (NF) calculations for the individual cations were used to measure their acid neutralization potential. Previous studies assumed that Na + and Cl − entirely originate from sea salt and, therefore, omitted their contribution to NF calculations [54].
However, the present site, which is far from the sea, is unlikely to receive fresh marine contributions. Furthermore, a very poor correlation (R 2 = 0.05; Figure 2) between Na + and Cl − , along with a significantly lower (0.07) ratio of Cl − /Na + compared to seawater (1.8), justify the low impact of marine sources over the measurement site [55,56]. However, the Himalayan region may have a small amount of NaCl embedded in the soil in the form of halite, which may be detected in the air due to natural resuspension processes [57]. In the present study, the Na + concentrations (0.52 µg m −3 ) were much higher than that of Cl − (0.04 µg m −3 ), suggesting depletion of Cl − , as HNO3 reacts with NaCl to form HCl [58]. Therefore, the influence of Na + ions in the neutralization process was assessed using non-sea salt [Na + ]. The non-sea salt [Na + ] can be estimated by subtracting 0.56× [Cl − ] from [Na + ]. The NFs were then calculated as: NF NH = NH 2 SO + NO ⁄ (8) Figure 2. Correlation between measured chemical species over Manora Peak, Nainital.

Source Apportionment via PMF Receptor Model
The positive matrix factorization (PMF) is a multivariate receptor model [15] that has been widely used for PM source apportionment in India [2,4,22,59]. The chemical mass balance equation can be written as: where X and e are the measured concentration and the residual matrixes of dimensions i (sample number) and j (chemical species), while g and f are source profile and source contribution matrixes, respectively, with k = 1… p (p being the total number of sources). In this study, using the EPA PMF 5.0 software [60], models were run with 65 samples, each one with data for 11 chemical species. Based on the number of model variables, the number of samples here is considered adequate to perform PMF analysis, according to the rules of thumb established by guidance documents [61] and as displayed by several previously published studies (e.g., [15,[18][19][20]59]). Missing values were replaced with the geometric mean concentration of corresponding species. The uncertainty (σij) input file was generated using the detection limit of each species and the concentration in each sample [62,63]. Low-uncertainty (strong) species were classified based on S/N (signal/noise) ratios greater than 2, whereas species with an S/N ratio between 0.2 and 2.0 were labeled as weak and their uncertainties were increased three times [64]. The S/N ratios for each species included in the PMF analysis were greater than 2, except Cl − (S/N = 1.21). Since WSOC is a part of OC, it was also down-weighted by categorizing it as weak in order to limit double counting. Further details of the PMF process and the equations used in uncertainty analysis are provided in the Supplementary Material (S.1.1), while the error indices are included in Table S1. For solutions with 2 to 8 factors, the Qrobust/Qexp. ratio, the maximum individual mean of scaled residual (ISM), and maximum individual standard deviation of scaled residual (ISR) were calculated to gain insights in the optimum number of sources (see Figure S1). The ratio of Qrobust/Qexp. values showed a drastic decrease for 3-to 5-factor solutions. The ISM and ISR also showed a sharp decline up to factor 5 and, beyond that, a steady change was observed in ISM and ISR. Therefore, the solutions of 4-, 5-, and 6-factor sources ( Figure S1) were examined to identify the most physically interpretable solution. The scatter plots between the measured and modeled TSP revealed that the best fit was achieved by the 5-factor model, as compared to the 4-and 6-factor solutions ( Figure S2). This solution was also characterized by a limited fraction of unexplained TSP mass (3.27%). The coefficient of determination (R 2 ) between measured and modeled concentrations of each species, except Cl − (R 2 = 0.2), was greater than 0.8 for the 5-factor solution. In addition, the PMF BS, DISP, and BS-DISP error estimates were more stable in the 5-factor solution (Table S1). A comparison of emission sources identified by the PMF simulation for factors four, five, and six is shown in the Supplementary Material ( Figure S3 to Figure  S5). Regarding the 4-factor PMF solution, it could not separate the BB and secondary sources, while, in the 6-factor solution, there was a splitting of the soil dust source. Therefore, the 5-factor solution was selected and further analyzed, with results presented in Section 4.4.

Air Mass Back-Trajectory and Probability Functions (PSCF and CWT) Analysis
To track the source areas and transport pathways of the chemical species and identified factors over the study site, we performed air mass back-trajectory analysis using the hybrid single-particle Lagrangian integrated (HYSPLIT) model ( [65,66], READY: http://www.ready.noaa.gov accessed on 24/6/2021). In this work, five days' (120 h) air mass back-trajectories were calculated at 14:00 h (local time) at 500 m above ground level.
The potential source contribution function (PSCF) and concentration weighted trajectory (CWT) are trajectory ensemble models developed to identify the transport pathways and potential source regions of pollutants affecting receptor sites [37,67]. The PSCF is the conditional probability that an air parcel arriving at the receptor site, and passed over an area traversed by the identified back-trajectories, had a pollutant concentration exceeding a predefined threshold. Therefore, the PSCF value for a grid cell i, j is described as: = (10) where nij represents the total number of times the trajectories passed through the grid cell (i, j) and mij represents the total number of high source-related concentration events when the trajectories passed over the cell (i, j). The number of mij events was determined based on the 90th percentile of source contributions. To reduce the impact of cells with few data, a weighting factor was applied [67,68]. The probability for each cell (i, j) was multiplied by weighting functions W(ij): where, is the average number of endpoints per cell, computed for every cell with at least one endpoint. The main drawback of the PSCF method is that several grid cells may have the same PSCF value if the sample concentrations are marginally higher or much higher than the required percentile criteria, so it could be difficult to differentiate between sources of modest and strong impact. Therefore, the CWT approach is widely used to tackle this issue [28,37,69]. The CWT field for a grid cell i, j (Cij) is calculated as: where Cm is the estimated source contribution at the study location for trajectory m, and τijm is the residence time of trajectory m in grid cell ( , ), while N is the total number of trajectories. In this study, the PSCF and CWT analyses were used to identify the geographic areas that are associated with increased net contributions of the PMF-identified sources. The PSCF and CWT maps (and also the map in Figure 1 and the correlogram in Figure 2) were produced using the R-4.1.0 software, while the rest of the figures were plotted using the Origin 2021 suite.

TSP Mass and Chemical Composition
This section presents the TSP, carbonaceous aerosol and inorganic species concentrations, and seasonality for the 65 analyzed samples. Since detailed analysis of the concentrations and seasonality was given in Ram et al. [7], even with slightly different results due to the higher number of samples and small differences in the delineation of seasons, only a brief description is given here for the essential knowledge about aerosol chemical composition in Nainital. A descriptive summary of concentrations of measured chemical species in TSP is listed in Table 1, while the seasonal mean concentrations are listed in Table S2. TSP concentrations in Nainital ranged from 12.7 to 271.7 µg m −3 , with an average of 69.6 ± 51.8 µg m −3 . The average concentration of total carbon (OC + EC) was 9.8 ± 5.9 µg m −3 , accounting for 14% of the TSP mass.  [7]. The seasonal variation of EC and OC, which is slightly different than that presented in Ram et al. [7], shows an agreement with previous studies over Darjeeling in the eastern Himalayas [33,70] and Srinagar in Garhwal Himalayas [71]. Moderate to high levels of OC, EC, and K + in October-November and March-April, as well as high correlations (r > 0.83) between them (Figure 2), indicate a strong influence from agricultural waste burning following the harvesting periods of rice and wheat, respectively, in Punjab and Haryana states in the northwest IGP [34,37,72]. The highest concentrations of EC and OC (Table S2) in winter could be attributed to the lower boundary layer height, along with wood and waste material burning for domestic heating. The average WSIS concentration was 8.24 ± 5.14 µg m −3 , which corresponds to about 12% of the TSP mass, and was much lower than the levels reported over IGP sites [29,54,59,73]. Nitrates maximized-rather unexpectedly-in the pre-monsoon period (0.84 µg m −3 ), while sulfates did so in postmonsoon (6.25 µg m −3 ), and K + also in post-monsoon (Table S2), due to the important influence from paddy residue burning in northwest IGP [72]. Figure 2 presents the Pearson correlation coefficients among the concentrations of TSP constituents. The high correlation between OC and EC (r = 0.91) indicates the common presence of combustion sources. The OC/EC ratio is widely used for characterizing the pollution sources and separating between primary and secondary emissions [74]. In this study, the OC/EC ratio ranged widely from 4.8 to 27.2, with an average of 8.0 ± 3.3, indicating a relatively high fraction of organic aerosols from biomass burning and/or enhanced contribution from SOC formation [48,75]. The non-sea-salt potassium (nss-K + = K + − 0.037 × Na + ) that is considered as a tracer for BB aerosols had an average concentration of 0.45 ± 0.36 µg m −3 (~93% of total K + ), indicating low contributions from marine sources [26,40]. The ratios nss-K + /EC and nss-K + /OC have been used for the apportionment of BB sources [7,73]. The nss-K + was highly correlated (r = 0.82 -0.85) with OC and EC, while the nss-K + /EC ratio was found to be 0.35 ± 0.16 (range of 0.08-0.85) [7], lower than that (0.51 ± 0.41; 0.63-0.69) found in Patiala, northwest IGP, during peak agricultural burning periods [10]. The 95th percentile nss-K + /EC value of 0.66 can be considered as characteristic for BB emissions in Nainital, being close to the upper limit of 1.1 proposed by Andreae and Merlet (2001) for (nss-K + /EC)bb [76]. On the other hand, the nss-K + /OC ratio ranged from 0.02 to 0.09 (mean of 0.05 ± 0.02), generally within the range reported for BB aerosols (0.04 to 0.13) [26,76].
On the other hand, the WSOC/OC ratio provides information of aerosol hygroscopicity, emission sources, and aging processes in the atmosphere [77][78][79]. The WSOC/OC ratio ranged from 0.33 to 0.93 (average of 0.57 ± 0.15), with high variability between the samples, but without a distinct seasonal pattern [7]. An average value of 0.60 ± 0.20 was reported for the WSOC/OC ratio over a higher altitude site in the western Himalayas (Himansh observatory; 32.4° N, 77.6° E, 4080 m) [80]. These high ratios suggest the dominance of aged aerosols over the central Himalayas, associated with transported carbonaceous aerosols from the IGP [34,75].

Ion Chemistry and Neutralization Factor
The total CE and AE values were calculated at 9.41 and 6.84, respectively, with a total percent ion difference of 14.22% and a good correlation of R 2 = 0.73 ( Figure S6). The anion deficit showed significant correlation (R 2 = 0.59) with Ca 2+ , indicating an alkaline environment over the site, likely attributed to carbonate species (CO3 2− ) in dust particles that were sampled but not quantified by IC [57,81].
The calculated NF values followed the order of Ca 2+ = 0.26, Na + = 0.07, K + = 0.05, NH4 + = 0.05, and Mg 2+ = 0.03, indicating that Ca 2+ was the leading neutralizing acid for TSP in Nainital. However, the NF results indicated that the overall cation concentration was insufficient to completely neutralize the charge of sulfate and nitrate ions. Moreover, the zero correlation between the NH4 + and NO3 − suggests that NH4NO3 formation is of minor importance (see Figure 2). The NF (NH4 + ) (Equation (8)) suggested that sulfate and nitrate have a very small chance of being totally or partially neutralized. This finding suggests the presence of sulfuric acid (H2SO4) and ammonium bisulfate ((NH4)HSO4), along with ammonium sulfate ((NH4)2SO4) in Nainital (7).

Estimates of POC and SOC
In this study, the SOC and POC were estimated using the EC tracer method, but with different techniques for the determination of the (OC/EC)pri, allowing the robustness of the SOC and POC estimations to be examined. The (OC/EC)min value was 4.81 and was initially used as the primary ratio for estimations of POC and SOC via Equations (1) and (2). In addition, data corresponding to the lowest 25% of OC/EC ratios were also considered for the primary OC/EC ratio and, via linear regressions of OC vs. EC, an (OC/EC)pri ratio of 5.13 was estimated. On the other hand, the MRS method [51,82] estimated a slightly higher (OC/EC)pri ratio of 6.0. These varying (OC/EC)pri ratios indicate the uncertainty in the quantification of POC and SOC components with the EC tracer method, which increases significantly in environments highly affected by BB aerosols [53]. The POC and SOC components estimated by different (OC/EC)pri ratios in Nainital are shown in Figure 3. The SOC estimated via the MRS method exhibited an average concentration of 1.99 ± 1.94 µg m −3 , which corresponds to 23% of the total OC mass. The SOC concentrations estimated using the minimum OC/EC ratio and 25th percentile showed slightly higher concentrations of 2.93 ± 2.30 µg m −3 and 2.64 ± 2.18 µg m −3 , respectively, corresponding to 34% and 31%, respectively, of the total OC mass concentration. Consequently, POC components dominated in all estimations, exhibiting fractions of 66-71% (Figure 3). It is characteristic that all approaches resulted in similar distributions of the POC and SOC concentrations ( Figure 3). The percentage contributions of POC, SOC, and EC to total carbon (TC = EC + OC) mass at Nainital are summarized in Table 2. On an annual basis, the POC component prevailed, with fractions ranging from 58.2% to 69.2%, while the SOC fraction was much lower (19.3% to 29.7%) and the EC fraction was 11.5-12.1% ( Table 2). The POC fraction increases in winter and spring seasons and is lowest in summer, when secondary aerosol formation is favored due to the intense photochemical processes and enhanced presence of volatile organic compounds (VOCs) and oxidizing agents, such as O3 and OH radicals [7,75]. Furthermore, the higher temperatures during spring and summer facilitate primary biogenic emissions [46]. The increased POC fraction in winter indicates the effect of local combustion emissions and an enhanced contribution from wood burning for domestic heating in local and neighboring areas, as well as transported plumes from the plains [34,37,44,48].  The highest POC concentrations combined with a strong correlation between OC and nss-K + in winter justify POC formation from primary emissions of biomass burning. This is supported by the strong correlations (R 2 = 0.68) between POC and nss-K + , independently of the approach used for POC estimation (Figure 4). The small differences between the POC and SOC concentrations from the various approaches indicate a consistency in the estimations and reliable results for Nainital. The differences in SOC estimates between the 25th percentile and MRS methods were significantly related with nss-K + (R 2 = 0.52; Figure  5). This might be related to fast oxidation processes of BB aerosols, which are considered as secondary in the 25% approach but as primary in the MRS approach due to their significant association with EC emissions from biomass burning [51,53].  The WSOC/OC ratio has been extensively used to assess secondary organic aerosol (SOA) formation, since SOA mostly contains photochemically produced polar functional groups, which are soluble in water [83,84]. However, WSOC may also have sources from primary BB aerosols, as many studies in IGP have shown [10,13,27]. Therefore, a good correlation between WSOC and estimated SOC can help justify the current SOC estimates. Here, the analysis showed a regression R 2 of 0.35 (slope = 0.43 ± 0.81) between WSOC and SOC estimates using the (OC/EC)min, while similar results were found for the other two approaches. The SOC concentration was much lower (2.93 ± 2.30 µg m −3 for (OC/EC)min) than that of WSOC (4.91 ± 3.17 µg m −3 ), most likely corresponding to the soluble nature of BB aerosols transported from the IGP [10,11,40], which have been classified as POC in the current estimates.

Annual
Previous studies in north India reported that estimated SOC contributed 43-49% to the total PM2.5 OC in urban Delhi [85] and accounted for 18%, 25%, and 60% of OC at traffic, rural, and remote sites, respectively, in Agra [86]. At Gual Pahari, a rural site close to New Delhi, the SOC fraction to total OC was 46% for PM2.5 samples [9]. Another study in Delhi [50] showed a 50% contribution of SOC on an annual basis, with an increased SOC formation in summer monsoon and winter periods, which was attributed to fast oxidation processes under a highly turbid environment during wintertime, when fog processing highly affected SOC formation [11]. Regarding the application of the EC tracer method in TSP samples, annual average SOC fractions in the range of 39% to 51% were estimated in Agra, India for samples highly affected by BB during post-monsoon and winter periods [87]. SOC fractions of 27%, 49%, 41%, and 35% to the OC mass were estimated during pre-monsoon, monsoon, post-monsoon, and winter periods, respectively, in Darjeeling, eastern Himalayas [70].

Source Identification Via PMF Receptor Model
The PMF receptor model was applied to determine the sources of aerosols over Nainital, based on the 5-factor solution, as described in Section 3.3 and in the Supplementary Material. The 5-factor solution is presented in Figure 6, while Figure 7 displays the percentage (%) contribution of each PMF-identified source to the reconstructed mass on a seasonal basis. As mentioned previously, only a small percent of TSP mass (3.27%) was left unexplained by the PMF model.  Factor 1 (secondary sulfate): The first factor was identified as secondary sulfate (SSf) and contributed 19.8% to TSP mass (Figure 6), with a remarkable seasonal variability, from 3.8% in spring/pre-monsoon to 30% in winter (Figure 7). This factor accounted for approximately 90% of the variation in NH4 + and 49% in SO4 2− , indicating secondary atmospheric processes for fine aerosol formation [7,22]. Large quantities of SO2 are emitted by the combustion of sulfur-rich fuels, such as coal and crude oil from power plants in the NW IGP [28]. PSCF and CWT analyses have identified potential source origins for Factor 1 in Pakistan and N-NW Indian states (Figures 8 and S7). However, the PSCF analysis also indicated distant sources in Iran, the Persian Gulf, and the Caspian Sea regions, areas with intense oil production and refining activities that comprise a significant source of precursor SOx emissions [88]. In Punjab and Haryana states of NW India, agricultural fertilizer use and animal husbandry are important sources of gaseous ammonia emissions, which are significant over continental sites where acid is neutralized by ammonia and mineral dust, leading to secondary aerosol formation [59]. Factor 2 (secondary nitrate/inorganic aerosol): This factor was mostly characterized by secondary nitrate and non-sea-salt chloride (nss-Cl − ), and contributed 9.1% to TSP mass ( Figure 6), explaining about 86% of the variance in NO3 − and 43% in Cl − . Since Na + was not included in the factor profile along with chloride, it was assumed that the chloride was nss-Cl − . Cl − concentrations were very low (0.04 µg m −3 ) and originated from waste burning (see also its significant fraction in Factor 5; Figure 6) and/or aged sea salt. Higher contributions were observed for Ca 2+ and Mg 2+ with respect to ammonium, as soil particles bound acidic gases in the coarse mode [89]. This factor exhibited the highest contribution to TSP mass in spring (14%) and summer (13%), despite unfavorable warm conditions for partitioning of nitrate and chloride in the particle phase (Figure 7). This indicates a substantial intensification of precursor emissions and their transport to the receptor site during the warm period. PMF did not distinguish between nitrate and nss-Cl − , possibly due to a common origin of secondary inorganic aerosol precursors, such as coal combustion and small-to medium-scale refining industries in Haryana, Punjab, and Pakistan to the northwest of Nainital, affecting the receptor site when northwesterlies prevail [37,50]. The PSCF and CWT analyses (Figures 8 and S7) revealed North and East Pakistan, Jammu and Kashmir, Punjab, and Haryana states in NW India as potential source areas for this factor. Enhanced HCl emissions from coal combustion in power plants have been previously recorded over NW IGP [90].
Factor 3 (mineral dust): The third factor represents the soil dust source and contributed 33.5% to TSP mass. This factor was dominated by Ca 2+ (46% explained variance) and registered significant contributions to Mg 2+ (28%) and SO4 2− (33%) (Figure 6). The coexistence of Ca 2+ with SO4 2− in this factor underlines the formation of calcium sulfate (CaSO4) in the coarse particle fraction. The highest contributions of this factor to TSP were observed, as expected, in spring (45%) and summer (44%) (Figure 7), in agreement with the highest dust activity in the Thar Desert and Southwest Asia [42], while the lowest fraction was recorded in winter (15.6%). The PSCF analysis (Figure 8) suggested that the major source locations for this factor are in north Pakistan, the Thar Desert, and desert areas in East Africa, which are important source regions of mineral dust. The well-defined southwest monsoon air flow over the Arabian Sea that carries dust-laden air masses over the Himalayan range is also notable (Figure 8).
Factor 4 (long-range transport marine mixed): This factor addressed about 80% of the variation in Na + and contributed 10.2% to TSP mass. This factor contains moderate amounts of nitrate and sulfate that could be identified as aged sea spray from long-range transport, where Cl − has been depleted over the Indian mainland. The PSCF plot shows a potential origin from the Arabian Sea and indicates possible mixing with dust during the passage of the air masses over the Thar Desert and arid regions in Pakistan (Figure 8) [9]. In general, the influence of marine air masses and such aerosol types at Nainital and the western Himalayas is expected to be very weak [34,45] and, indeed, the factor recorded low contributions to TSP (8-10%), except for summer (17%), when advection of marine aerosols by strong SW winds is favored in the setting of the summer monsoon [91].
Factor 5 (biomass burning): The fifth factor is related to processed BB aerosols and is identified by the high contributions to OC, EC, WSOC, combined with K + , which is a good BB tracer at sites not directly affected by marine aerosol intrusions [10]. The factor explained approximately 58%, 59%, 57%, and 55% of the variance in OC, EC, WSOC, and K + , respectively ( Figure 6). Cl − also received a significant contribution from the biomass burning source (~32%), although its mass concentration was generally low. Several studies in India have verified the affinity of chloride with biomass burning sources [92,93]. The high OC/EC ratio of 6.9 in the source profile is indicative of processed BB emissions. This factor was most dominant during winter (39.6%) due to biomass/wood burning for heating in the IGP and the Himalayas [35], but it also exhibited high contributions in spring and autumn seasons (27% and 25% of TSP) due to agricultural crop residue burning in NW IGP (Figure 7). The contribution of this factor was minimized in summer (9%), as a result of reduced primary BB emissions and the prevalence of effective atmospheric cleaning mechanisms. The PSCF and CWT analyses indicated major BB source areas in Himachal Pradesh and Uttarakhand due to springtime forest fires in the Himalayas [39,94,95] and also in Punjab (Figure 8), where extensive agricultural BB takes place in post-monsoon (paddy residue burning) and pre-monsoon (wheat residue burning) seasons [40,96,97].

Summary and Conclusions
In this study, we examined the chemical composition of total suspended particulate (TSP) samples collected in Nainital, a high-altitude site in the central Himalayan region, for a period of three years, from February 2005 to February 2008. Since TSP concentrations, chemical composition, and seasonality have been the subject of previous works, the current analysis focused mainly on TSP source apportionment using receptor modeling (PMF) and the estimation of secondary organic carbon (SOC), using various approaches in the EC tracer method. The TSP mass concentration in Nainital ranged from 12.7 to 271.7 µg m −3 , with an average value of 69.6 ± 51.8 µg m −3 . The highest TSP concentrations were observed in spring due to enhanced dust transport and forest fires over the surrounding regions, while, during the summer monsoon, TSP, OC, and EC levels minimized due to wet removal.
Carbonaceous aerosols (OC, EC) maximized in winter due to the intensification of biomass burning (e.g., wood burning, crop residual burning, etc.) over the IGP and the Himalayas for domestic heating and the shallower mixing layer. The high OC/EC ratio (8.0 ± 3.3), along with a good correlation between OC, EC, and nss-K + , suggested a significant effect of biomass-burning aerosols, while the relatively high WSOC/OC ratio (0.57 ± 0.15) indicated significant contributions of biomass burning, secondary, or aged organic aerosols over Nainital. The estimated SOC fractions via the EC tracer method accounted for ~25% (ranges of 19.3-29.7%) of total carbon (OC + EC), and were consistent between different approaches for the calculation of primary OC/EC ratios in the EC tracer method.
The PMF source apportionment results revealed that the main aerosol sources (factors) in Nainital were mineral dust (34%), biomass burning (27%), secondary sulfate (20%), secondary nitrate (9%), and long-range transported marine mixed aerosols (10%), which exhibited a distinct seasonality as well, with predominance of mineral dust in spring and summer, and biomass burning and secondary sulfate in winter. The source area identification, based on the potential source contribution function (PSCF) and concentration weighted trajectory (CWT) methods, showed that TSP was mainly transported from Punjab and Haryana states in NW India and northeast Pakistan, while the Thar Desert and East Africa significantly contributed to the presence of dust-related aerosols over the central Himalayas. The transported marine mixed aerosol source was mainly associated with SW monsoon air masses during the summer season. This is the first receptor modeling study over the central Himalayas. Future research should focus more on the characterization of the aerosol elemental composition in order to better support receptor modeling approaches for the identification of specific combustion and natural (e.g., dust, local vs. transported) sources. However, the present preliminary results can supplement emission inventories and contribute to an effective assessment of climate impacts over the region.
Supplementary Materials: The following are available online at www.mdpi.com/article/10.3390/at-mos12091228/s1, the details of PMF data processing are presented. Figure S1: (a) Plot of ratio of Qrobust/Qexpected against number of factors, (b) maximum individual mean (ISM), and maximum individual standard deviation (ISR) of scaled residual against number of factors. Figure Figure  S7: Potential locations of PMF identified aerosol sources resolved by Concentration Weighted Trajectory Analysis (CWT). The black dot shows the location of measurement site. Table S1: Results of BS, DISP, and BS-DISP error estimates and Table S2: shows the seasonal average mass concentration (±1 σ) of total suspended particle and chemical constituents at Nainital during

Funding:
The present study has no external funding.

Informed Consent Statement: Not applicable.
Data Availability Statement: Chemical data can be available after request.