Journal cover Journal topic
Atmospheric Chemistry and Physics An interactive open-access journal of the European Geosciences Union
Journal topic
Atmos. Chem. Phys., 18, 16979-17001, 2018
https://doi.org/10.5194/acp-18-16979-2018
Atmos. Chem. Phys., 18, 16979-17001, 2018
https://doi.org/10.5194/acp-18-16979-2018

Research article 30 Nov 2018

Research article | 30 Nov 2018

# Elucidating real-world vehicle emission factors from mobile measurements over a large metropolitan region: a focus on isocyanic acid, hydrogen cyanide, and black carbon

Elucidating real-world vehicle emission factors from mobile measurements
Sumi N. Wren1, John Liggio1, Yuemei Han1, Katherine Hayden1, Gang Lu1, Cris M. Mihele1, Richard L. Mittermeier1, Craig Stroud1, Jeremy J. B. Wentzell1, and Jeffrey R. Brook1,a Sumi N. Wren et al.
• 1Air Quality Process Research Section, Air Quality Research Division, Environment and Climate Change Canada, 4905 Dufferin St., Toronto, ON, M3H 5T4, Canada
• acurrently at: Dalla Lana School of Public Health, Department of Chemical Engineering and Applied Chemistry, University of Toronto, 223 College St., Toronto, ON, M5T 1R4, Canada
Abstract

A mobile laboratory equipped with state-of-the-art gaseous and particulate instrumentation was deployed across the Greater Toronto Area (GTA) during two seasons. A high-resolution time-of-flight chemical ionization mass spectrometer (HR-TOF-CIMS) measured isocyanic acid (HNCO) and hydrogen cyanide (HCN), and a high-sensitivity laser-induced incandescence (HS-LII) instrument measured black carbon (BC). Results indicate that on-road vehicles are a clear source of HNCO and HCN and that their impact is more pronounced in the winter, when influences from biomass burning (BB) and secondary photochemistry are weakest. Plume-based and time-based algorithms were developed to calculate fleet-average vehicle emission factors (EFs); the algorithms were found to yield comparable results, depending on the pollutant identity. With respect to literature EFs for benzene, toluene, C2 benzene (sum of m-, p-, and o-xylenes and ethylbenzene), nitrogen oxides, particle number concentration (PN), and black carbon, the calculated EFs were characteristic of a relatively clean vehicle fleet dominated by light-duty vehicles (LDV). Our fleet-average EF for BC (median: 25 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$; interquartile range, IQR: 10–76 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) suggests that overall vehicular emissions of BC have decreased over time. However, the distribution of EFs indicates that a small proportion of high-emitters continue to contribute disproportionately to total BC emissions. We report the first fleet-average EF for HNCO (median: 2.3 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$, IQR: 1.4–4.2 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) and HCN (median: 0.52 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$, IQR: 0.32–0.88 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$). The distribution of the estimated EFs provides insight into the real-world variability of HNCO and HCN emissions and constrains the wide range of literature EFs obtained from prior dynamometer studies. The impact of vehicle emissions on urban HNCO levels can be expected to be further enhanced if secondary HNCO formation from vehicle exhaust is considered.

1 Introduction

In urban areas, traffic-related air pollution (TRAP) is associated with adverse impacts on human health, air quality, climate change, and the environment (Pope and Dockery, 2006; Grahame et al., 2014; HEI Panel on the Health Effects of Traffic-Related Air Pollution, 2010). Studies of TRAP, from both the emission and exposure perspective, have often focused on criteria air pollutants such as nitrogen oxides (NOx), carbon monoxide (CO), and particulate matter (PM) (Jerrett et al., 2009; Beckerman et al., 2008). However, it is not established to what extent these species are solely responsible for negative outcomes associated with TRAP or to what degree they act in tandem with, or as proxies for, other compounds in the pollutant mixture (Brook et al., 2007; Mauderly and Samet, 2009; Dominici et al., 2010). That is, NOx could be an indicator for other pollutants originating from vehicular combustion, including volatile organic compounds (VOCs) and particulate species (Brook et al., 2007). For that reason, it is imperative that other components of TRAP are characterized, including the near-road exposures and vehicle emission factors (EFs) of air toxics. In the current study we focus on vehicle emissions of black carbon (BC), isocyanic acid (HNCO), and hydrogen cyanide (HCN).

Although particulate mass is often used as an indicator for health risks associated with combustion, it has been suggested that black carbon may be a more effective metric (Janssen et al., 2011; Grahame et al., 2014). Black carbon particles pose a significant health risk due to their chemical stability, large surface area, and small mode diameter, with the smallest (i.e., ultrafine) BC particles able to penetrate the lung lining and enter the blood stream (Highwood and Kinnersley, 2006). However, it is not established whether it is the compounds associated with BC (such as particle-bound polycyclic aromatic hydrocarbons) or the BC itself that are responsible for negative effects (Janssen et al., 2011). The dominant sources of BC are combustion related and include open biomass burning (BB) and residential, industrial, and transportation-related fossil-fuel burning. Anthropogenic BC emissions have been closely linked to vehicle emissions, particularly those associated with heavy-duty diesel vehicles (HDDVs) (Bahadur et al., 2011; Ban-Weiss et al., 2008). Although, BC emissions from light-duty gasoline vehicles (LDGVs) have been considered to be quite low by comparison, their exact magnitude is not well constrained, with recent studies suggesting that they may both be underestimated (Liggio et al., 2012; Krecl et al., 2017) and overestimated (Wang et al., 2016). Furthermore, improvements in emissions control technologies have seen HDDV BC emissions decrease significantly (Dallmann et al., 2012; Krecl et al., 2017). As a result, the relative importance of gasoline versus diesel engines as sources of BC is not well established, leading to uncertainties in present-day on-road inventories (Liggio et al., 2012; Krecl et al., 2017). Given the rapid pace of change of fuel injection and emission control technologies, establishing current, fleet-average BC emission factors is important for evaluating bottom-up inventories, which are necessary from both a health and air quality and climate perspective (Bond et al., 2013).

Only recently has it been suggested that HNCO (Wentzell et al., 2013; Brady et al., 2014; Link et al., 2016; Suarez-Bertoa and Astorga, 2016; Jathar et al., 2017) and HCN (Crounse et al., 2009; Moussa et al., 2016; Harvey et al., 1983) can be emitted by on- and off-road vehicles. Isocyanic acid is a highly toxic gaseous acid which dissociates at physiological pH to form cyanate anions (NCO) which in turn participate in damaging carbamylation reactions, thereby leading to adverse health outcomes such as cataracts, atherosclerosis, rheumatoid arthritis, cardiovascular disease, and renal failure (Roberts et al., 2011, and references therein). Roberts et al. (2011) used the physical properties of HNCO to estimate that ambient mixing ratios as low as 1 ppbv could be harmful to humans (Wang et al., 2007). Similar to HNCO, hydrogen cyanide is a highly toxic gas with known negative effects on human health due to its interference in aerobic metabolism (Logue et al., 2010; Barillo, 2009; US EPA, 2010).

Historically, biomass burning was considered to be the dominant global source of both HNCO (Veres et al., 2010; Roberts et al., 2011; Young et al., 2012) and HCN (Li et al., 2000, 2003, 2009; Shim et al., 2007). Global HCN (Li et al., 2003) and HNCO (Young et al., 2012) models have hitherto considered vehicle sources of these compounds to be negligible. As such, past measurements of these species have focussed on regions heavily influenced by biomass burning or, in the case of HCN, on the upper troposphere or total tropospheric column. Although the advent of chemical ionization mass spectrometers has allowed for real-time measurements of atmospherically relevant concentrations of these species (Roberts et al., 2011; Veres et al., 2008; Woodward-Massey et al., 2014; Le Breton et al., 2013; Knighton et al., 2009), there remain relatively few measurements of ambient HNCO (Roberts et al., 2011, 2014; Wentzell et al., 2013; Zhao et al., 2014; Woodward-Massey et al., 2014; Sarkar et al., 2016; Chandra and Sinha, 2016; Kumar et al., 2018). Measurements of ground-level HCN in both rural and urban environments with minimal BB influence are more limited (Ambrose et al., 2010). However, given the recent studies suggesting that HCN and HNCO emissions from vehicles could be significant, especially at a local scale, a better understanding of on-road emissions of these species is necessary. Moreover, ambient measurements are suggestive of a secondary source of HNCO (Roberts et al., 2011, 2014; Wentzell et al., 2013; Zhao et al., 2014; Sarkar et al., 2016; Kumar et al., 2018) – formed photochemically by the photooxidation of precursors such as alkyl amines and amides (Borduas et al., 2013, 2015; Sarkar et al., 2016). Recent studies (Jathar et al., 2017; Link et al., 2016) show that diesel engine exhaust itself contains precursors leading to enhanced photochemical production of HNCO, even further underscoring the need to quantify vehicular emissions of HNCO in dense, urban environments.

Existing literature values for HNCO and HCN emission factors have been exclusively obtained from chassis or engine dynamometer studies on a limited number of engines/vehicles. While the strength of dynamometer studies is control over factors such as vehicle age, fuel composition, type of after-treatment technologies, temperature, and driving mode, they have limitations with respect to yielding representative emission factors, for the precise reason that mobile emissions have been shown to be sensitive to such factors (Franco et al., 2013). It is important that the accuracy of emission inventories derived from dynamometer results is verified against in-use vehicle emissions (Parrish, 2006), since emission inventories are often used to constrain regional budgets and exposure estimates for traffic-related air pollutants. This is particularly relevant for HNCO and HCN, where there are large discrepancies in reported emission factors. Although real-world EF measurements can suffer from their own shortcomings (namely lower precision and repeatability), they are essential in identifying gaps and providing insight into actual emission behavior of on-road vehicles (Franco et al., 2013).

In the present study, we deploy a mobile laboratory over a large metropolitan region in two seasons, with the goal of characterizing near-road exposure and fleet-average emission factors for black carbon, HNCO, and HCN. These species are discussed alongside benzene, a regulated traffic pollutant of interest due to its carcinogenic nature, and whose behavior has been more thoroughly characterized. The focus in this paper is on the development of plume-based and time-based methodologies to calculate fuel-based vehicle emission factors. We assess their performance against each other and in comparison to available literature EFs for a wide range of pollutants: benzene, toluene, C2 benzenes (sum of m-, p-, and o-xylenes and ethylbenzene), NOx (= NO +NO2), particle number concentration (PN), and black carbon. We report, to our knowledge, the first real-world, fleet-average HNCO and HCN vehicle emission factors and use them to help assess dynamometer results relative to real-world conditions. Finally, the estimated fleet-average emission factors are scaled up to determine the relative importance of vehicle emissions of HNCO and HCN.

2 Materials and methods

## 2.1 Mobile laboratory measurements – CRUISER

### 2.1.1 Overview of mobile measurements

Air quality and meteorological measurements were made from Environment and Climate Change Canada's mobile laboratory: Canadian Regional and Urban Investigation System for Environmental Research (CRUISER) (Levy et al., 2014; Government of Canada, 2018). CRUISER was deployed during two seasons over the Greater Toronto Area (GTA), a metropolitan area encompassing the city of Toronto and four regional municipalities with a population of over 6 million. The summer campaign took place over 9 days in July 2015 (15, 16, 17, 20, 21, 22, 23, 27, and 28 July) as part of the Environment Canada Pan and Parapan American Science Showcase (ECPASS) (Joe et al., 2018). The winter campaign took place over 8 days in January 2016 (11, 13, 14, 15, 18, 19, 20, and 21 January) as part of a health exposure mapping study. Driving took place on weekdays only, with the majority of measurements occurring between 09:00 and 17:00 LT (local time). Driving routes were chosen to pass along highways, major roadways, and local streets, and to visit residential, commercial, and industrial areas; the driving routes for the summer and winter campaign are shown in Fig. S1 in the Supplement. In 2016 the Ontario vehicle fleet was composed of approx. 97 % light-duty vehicles (LDVs; vehicles < 4500 kg and motorcycles/mopeds) and 4 % heavy-duty vehicles (HDVs; for this paper, the HDV category includes both medium-duty vehicles 4500–14 999 kg and heavy-duty trucks > 15 000 kg, as well as buses) (Statistics Canada, 2016); the composition of the GTA vehicle fleet is assumed to be similar.

Several gas-phase and particle-phase instruments were housed on-board CRUISER as listed in Table 1. Carbon dioxide (CO2) was measured with 2 s time resolution by cavity-enhanced laser absorption spectroscopy (PICARRO). All gas-phase instruments sampled from a common inlet with the exception of the high-resolution time-of-flight chemical ionization mass spectrometer (HR-TOF-CIMS) which sampled off a dedicated inlet located on the roof of CRUISER towards the rear right side. The common gas-phase inlet was located 3.6 m a.g.l. and oriented near the front left side. Ambient air was sampled through a 2 m long PFA tube with 0.61 cm ID followed by a 30 cm long PFA tube with 0.52 cm ID at a rate of 13.6 SLPM (residence time ∼0.25 s); inlet lines for various instruments were connected downstream of this common inlet. All particle-phase instruments sampled off a common stainless steel inlet located adjacent to the gas-phase inlet. During the winter campaign, CO2 was sampled from the same inlet as the HR-TOF-CIMS. Relative wind speed and wind direction was measured using an ultrasonic anemometer located on the roof at the front of CRUISER. Periods of potential self-sampling were identified and removed using an algorithm which is described in the Supplement. Briefly, the self-sampling algorithm identified periods of potential exhaust based on CRUISER speed, relative wind speed, and wind direction (towards inlet) and periods of suspected exhaust within these windows, based on the presence of exhaust tracers (BC, NO, fine particle counts). Periods of suspected exhaust were removed from the data.

### 2.1.2 Proton-transfer-reaction time-of-flight mass spectrometry (PTR-TOF-MS)

Volatile organic compounds were measured using a proton-transfer-reaction time-of-flight mass spectrometer (PTR-TOF-8000, Ionicon Analytik). The operating principles of the PTR-TOF-MS instrument have been described elsewhere (Jordan et al., 2009; Li et al., 2017); further details can be found in the Supplement. Briefly, the PTR-TOF-MS was operated with an E  N value of 140 Td. Air for analysis by the PTR-TOF-MS was sampled off the common gas-phase inlet via a 2 m long PFA tube with 0.52 cm ID at a rate of 4.4 SLPM and the instrument sampled part of this flow (100 sccm) through a 120 cm insulated PEEK capillary with 0.08 cm ID heated to 70 C. Mass spectra were acquired with a time resolution of 1 s and a resulting mass resolution of approx. 4000 m Δm−1. The response of the PTR-TOF-MS to specific VOCs was determined using a home-built zero and calibration unit and a custom VOC gas standard (Ionicon). The 2σ detection limits differed slightly for the summer and winter campaigns and were calculated respectively to be 110 and 155 pptv for benzene, 125 and 240 pptv for toluene, and 110 and 160 pptv for C8 benzenes. The sensitivities and detection limits are also listed in Table S1 in the Supplement.

Table 1Method of detection and ambient concentration statistics for selected pollutants on CRUISER.

Principles of operation: a cavity-enhanced laser absorption spectroscopy, b Thermo Scientific (42iTL) chemiluminescence, c cavity ring-down spectroscopy, d light scattering, e laser-induced incandescence. f PN is the ultrafine particle number counts. Statistics obtained after the self-sampling algorithm was applied to the high-time-resolution data with N data points. All instruments operated at 1s resolution except PICARRO (2 s). The mean daily temperature was ca. 25 C during the summer campaign and ca. −5C during the winter campaign. LGR stands for Los Gatos Research.

### 2.1.3 High-resolution time-of-flight chemical ionization mass spectrometer (HR-TOF-CIMS)

HNCO and HCN were measured using a high-resolution time-of-flight chemical ionization mass spectrometer (HR-TOF-CIMS, Aerodyne Research, Inc.). The design, operation, and mobile deployment of the HR-TOF-CIMS has been previously described (Veres et al., 2008; Roberts et al., 2011; Wentzell et al., 2013; Liggio et al., 2017a). Additional details can be found in the Supplement. Briefly, the HR-TOF-CIMS is a differentially pumped time-of-flight mass spectrometer configured to use iodide ion as the reagent ion (Woodward-Massey et al., 2014; Le Breton et al., 2013). Air for analysis was drawn at ∼22 SLPM through a 3 m long heated (50 C) inlet (0.58 cm ID). The CIMS subsampled from this flow into the ion molecule reaction (IMR) region via a critical orifice at 1.7 SLPM. Mass spectra were acquired with a time resolution of 1 s and a resulting mass resolution of approx. 5000 m Δm−1. Calibrations of HNCO were conducted by thermally decomposing cyanuric acid at 250 C to HNCO (Roberts et al., 2010) with the permeation rate quantified via Fourier-transform infrared spectroscopy (FTIR; Thermo-Fisher Inc.). Calibrations of HCN were performed by diluting a HCN gas standard (Air Liquide, ppmv in N2) in zero air. Humidity-dependent response factors for both species were derived by diluting the calibration gas flows with humidified air to a final RH ranging from ∼9 % to 90 %, resulting in sensitivities of 0.086 and 0.1 ncps pptv−1 for HCN and HNCO respectively. The 2σ detection limits for HNCO and HCN were estimated to be 7 pptv each for both the summer and winter campaigns.

### 2.1.4 High-sensitivity laser-induced incandescence (HS-LII) for black carbon

Black carbon measurements were made with a high-sensitivity laser-induced incandescence (HS-LII) instrument (Atrium Technologies Inc., CA, USA) developed in collaboration with the National Research Council Canada (NRC). The particular instrument on CRUISER is a research-grade prototype capable of ultra-low BC measurements at 1 s resolution. Here, black carbon is operationally defined by its high thermal stability (Petzold et al., 2013). The principle of operation of this instrument, as well as its use during ambient studies, has been described elsewhere (Snelling et al., 2005; Chan et al., 2011; Liggio et al., 2012). Briefly, ambient particles within a set volume are rapidly heated by a pulsed laser beam (1064 nm; 7 ns FWHM, 200 mJ pulse−1) to just below the soot sublimation temperature (∼4000 K). The absolute incandescence and temperature of the BC particles are measured by collection optics and photomultipliers. After appropriate calibration and analysis, these two parameters are used to determine the soot volume fraction, which is converted to a BC mass concentration with knowledge of the particle material density (ρ) and the absorption function (Em), both of which are well established for BC (Coderre et al., 2011; Choi et al., 1994; Wu et al., 1997). An advantage of this technique is that it determines ensemble properties for all particles within the sample volume and so does not suffer from a particle size limitation; previous studies have shown that the HS-LII can detect laboratory-generated particles < 7 nm in diameter (Stirn et al., 2009). As a result, a previous study found that BC measurements by a single-particle soot photometer (SP2), which is only sensitive to particles with a diameter > 70 nm, are biased low relative to the HS-LII (Liggio et al., 2012). Furthermore, it has been shown that the HS-LII is significantly less influenced by the presence of non-refractory mass compared to other BC measurement methods such as photoacoustic spectrometers (Chan et al., 2011). The HS-LII was only in operation for the summer campaign.

## 2.2 Calculating fleet-average emission factors from a mobile platform

Mobile measurements (Jiang et al., 2005; Canagaratna et al., 2004; Zavala et al., 2006, 2009; Park et al., 2011; Liggio et al., 2012; Hudda et al., 2013; Jimenez et al., 2000) of individual tailpipe emissions (i.e., plumes) have proven to be an effective approach for determining fleet emission factors, with the advantage of covering a large geographical region, while measuring emissions in real time over a range of driving modes. Hence they are able to evaluate the applicability of EF measurements made at a fixed location to the entire region, providing insight into the degree of emissions variability and identifying the presence of high-emitting vehicles.

Plume-based emissions measurements can be made in two ways: a targeted approach in which individual vehicles are “chased” (Canagaratna et al., 2004; Zavala et al., 2009; Zimmerman et al., 2016) or a “catch-all” approach in which all intercepted plumes are treated as potential exhaust plumes (Jimenez et al., 2000; Jiang et al., 2005; Zavala et al., 2009; Hudda et al., 2013; Wang et al., 2015). The advantage of the catch-all approach is that a large number of plumes can be encountered, leading to improved statistics for characterizing the fleet on the road in the domain of study (Zavala et al., 2009; Wang et al., 2015). Alternatively, emission factors from mobile measurements can be determined using a time-based or road-segment-based approach in which pollutant concentrations above background are evaluated at fixed time or distance intervals (Hudda et al., 2013; Westerdahl et al., 2009; Zavala et al., 2006, 2009). Here, we calculate fleet emission factors using both a catch-all mobile plume-based approach and a time-based approach.

### 2.2.1 Definition of background (BKG) and local (LOCAL) concentrations

Pollutant and CO2 time series were averaged to 2 s and then further smoothed using a 3-point boxcar (5 s). The background (BKG) was subsequently defined as the rolling second percentile over a 90-point (180 s) window, with additional boxcar smoothing over the same window. Similar approaches for estimating background concentrations from mobile monitoring studies have been employed by others (Jiang et al., 2005; Jimenez et al., 2000; Hudda et al., 2013; Park et al., 2011; Bukowiecki et al., 2002; Larson et al., 2017). Since the background is calculated over a 3 min window, corresponding to approximately 2 km of CRUISER travel, it is assumed to be representative of a neighborhood-scale background (Larson et al., 2017). The on-road or LOCAL concentrations are defined as the background-corrected (i.e., above-background) mixing ratios. Figure S2 shows sample time series for the summer (CO2, benzene, BC, HNCO, HCN) and winter campaigns (CO2, benzene, HNCO, HCN) and demonstrates that the LOCAL pollutant plumes frequently co-varied with increases in CO2, suggesting a combustion (i.e., vehicular) source.

### 2.2.2 Plume-based emission factor determination

An emission factor algorithm was written using Igor Pro (Wavemetrics Inc.) to identify CO2 plumes based on the first and second derivatives of the CO2 time series, similar to the approach of Wang et al. (2015). The details of the algorithm can be found in the Supplement. Briefly, the first derivative of the CO2 time series was used to identify peak boundaries and locations (peak maxima). Two types of plumes were identified: single-peak plumes (SPP) and multi-peak plumes (MPP). Multi-peak plumes contain one or more CO2 peaks (and include the SPP set). Plumes less than 10 s in duration or with an average background-corrected CO2 response of <5 ppmv s−1 over the integration period were rejected as erroneous or uncaptured (Wang et al., 2015). Emission factors (EF) expressed as mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ for a given pollutant X and plume i were calculated using a carbon mass balance approach:

$\begin{array}{}\text{(1)}& {\mathrm{EF}}_{X,i}=\frac{\left[X\right]}{\left[{\mathrm{CO}}_{\mathrm{2}}\right]}×\frac{{\mathrm{MW}}_{X}}{{F}_{\mathrm{C}}\cdot {\mathrm{MW}}_{\mathrm{C}}}×{C}_{\mathrm{fuel}}×{\mathrm{10}}^{\mathrm{3}},\end{array}$

where [X] and [CO2] are the integrated amounts of LOCAL (background-corrected) X and CO2 over the boundaries of plume i in units of ppbv and ppmv respectively, MWX and MWC are the molecular weights of pollutant X and carbon in g mol−1, FC is the molar ratio of carbon in CO2, Cfuel is the carbon mass fraction in the fuel in kg C kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$, and 103 is the necessary unit conversion factor. A value of Cfuel=0.86 was used here, which is the average of the Cfuel for gasoline (0.85) and diesel (0.87) (Wang et al., 2015). Strictly, the denominator in Eq. (1) should contain the sum of all emitted carbon species (CO2, CO, total hydrocarbons); however, emissions of CO2 have been shown to account for >90 % of fuel consumption (Jathar et al., 2017; Yli-Tuomi et al., 2005). Plumes associated with the highest EFs were visually inspected and in some instances were deemed to have been erroneously captured based on poor correlation between the pollutant and CO2 time series; these plumes were removed from the final dataset. Further details regarding the background calculation and their influence on calculated EFs, as well as the peak removal processes, can be found in the Supplement (Sect. S1.5).

Emission factors for benzene, toluene, C2 benzenes, NO, NO2, NOx, PN, and BC were obtained during the summer campaign. EFs for HCN and HNCO were obtained during the winter campaign, when the PICARRO measuring CO2 shared the same inlet as the HR-TOF-CIMS. Statistics on the number of plumes, plume duration, and number of peaks per plume can be found in Tables S2 and S3 at various stages of analysis for the summer and winter campaigns. We note that for NO, reactions with ozone can result in a low bias for NO EFs. In this study we expect the time from emission to be on the order of minutes, although exact emission times are not known. As such it is likely that the EFs for NO here represent lower limits to the true NO EFs.

### 2.2.3 Time-based emission factor determination

Emission factors were also calculated using the time-based approach, which considers the entire data set, in contrast to the plume-based approach which only considers periods of elevated CO2 as defined by peaks (Westerdahl et al., 2009). The LOCAL (background-corrected) CO2 and pollutant mixing ratios were integrated in consecutive intervals of 30, 60, 90, and 120 s and fuel-based emission factors were calculated according to Eq. (1).

This approach assumes that LOCAL mixing ratios are solely due to vehicle emissions (in reality, they may also contain point sources or other types of emissions, including those not associated with combustion). The purpose of this calculation was twofold. First, we were interested in determining whether this computationally simple approach could yield realistic fleet-average emission factors comparable to those obtained using the plume-based approach. Second, we were interested in determining EFs for pollutants not sharing a common inlet with CO2 (i.e., for benzene during the winter, and HNCO and HCN during the summer), which would allow for a seasonal comparison. Here, the assumption is that, when integrating over a sufficiently long interval of time, the majority of vehicle plumes are captured by both inlets (i.e., both the CO2 and pollutant X are detected) and that meteorology or turbulence affects the dilution of the pollutant and CO2 equally.

3 Results and discussion

## 3.1 Overview of mobile pollutant measurements

Ambient pollutant concentration statistics for the summer campaign (benzene, toluene, C2 benzenes, NO2, NO, CO2, PN, BC, HNCO, and HCN) and winter campaign (benzene, HNCO, HCN, and CO2) are shown in Table 1. The BC concentrations reported in this study are comparable to the range (0.10–1.7 µg m−3) previously reported for Toronto (Knox et al., 2009; Chan et al., 2011).

The ambient HNCO concentrations measured during this study are similar in magnitude to those measured by others (Roberts et al., 2011, 2014; Woodward-Massey et al., 2014; Zhao et al., 2014; Wentzell et al., 2013) for urban locations with minimal BB influence, which range from ca. 10 to 85 pptv. However, Chandra and Sinha (2016) report annual HNCO mixing ratios of 0.94 ppbv for a suburban site in the Indo-Gangetic Plain that is strongly influenced by crop-residue fires; a much higher average summertime HNCO concentration of 1.7±0.06 ppbv was recently measured at the same site (Kumar et al., 2018). Our measurements for both the summer and winter periods are slightly lower than the summertime mean mixing ratio of 85 pptv previously reported for a fixed location in Toronto (Wentzell et al., 2013). However we note that the authors found that HNCO was generally highest between the hours of 18:00 and 22:00 LT. In the present study, the measurements are limited to the driving period, which could explain the slightly lower mean HNCO concentration. Overall, the magnitudes of the HNCO mixing ratios in both seasons (∼45 and ∼26 pptv for the summer and winter respectively) are much lower than the 1 ppbv harm threshold (Roberts et al., 2011; Wang et al., 2007).

The HCN mixing ratios measured in this study are 2 orders of magnitude lower than the mean HCN mixing ratios of 3.45±3.43 ppbv (continuous sampling from a near-road location) and 1.57±0.33 ppbv (mobile measurements in heavy traffic) previously reported for Toronto (Moussa et al., 2016). Long-path FTIR measurements of HCN (1 min time resolution) were made above the busy Highway 401 in Toronto concurrent with the present study (July–August 2015) (You et al., 2017). Consistent with our low HCN measurements, the authors found that HCN mixing ratios only spiked above the FTIR method detection limit of 3.2 ppbv on three occasions (isolated 1 min data points). Although prior measurements (Moussa et al., 2016) seem exceptionally high, our measurements are also on the low end of those reported for ground-level, ambient HCN in a rural region with little forest fire impact, which are on the order of a few hundred pptv (Ambrose et al., 2012). No significant long-term changes have been observed or expected for tropospheric HCN (Zhao et al., 2002) so it is unclear as to why the present measurements are so low. However, the vast majority of HCN measurements have focused on regions influenced by biomass burning and have been made aloft; measurements of HCN at ground level in urban areas are severely lacking. More measurements of HCN in urban environments are required in order to better characterize HCN concentration gradients and population exposure in regions with minimal biomass burning influence.

Figure 1Distribution of ambient mixing ratios for (a) HNCO and (b) HCN. Top panel: total concentration. Middle panel: background (BKG) concentration. Bottom panel: background-corrected (LOCAL) concentration. Summer campaign (July 2015) shown as colored bars; winter campaign (January 2016) shown as grey bars.

Figure 2Mean on-road (LOCAL, patterned) and background (BKG, solid) mixing ratios for the summer (S) and winter (W) campaigns. (a) Benzene, (b) BC, (c) HNCO, and (d) HCN.

### Local (on-road) and background contributions: a seasonal comparison

Figure 1 shows histograms as a function of season for the measured ambient concentrations as well as for the background (BKG) and on-road (LOCAL) contributions for (a) HNCO and (b) HCN; Fig. S4 shows similar histograms for (a) benzene and (b) black carbon. Figure 2 shows the mean BKG and LOCAL contributions to the measured ambient concentration for the four pollutants, as a function of season. For both benzene and BC, the LOCAL contribution is dominant, indicating strong traffic sources for these pollutants. We observed a small seasonal dependence in ambient benzene, with overall higher concentrations in the winter than in the summer, as observed by others (Tan et al., 2014; Lough et al., 2005). Separation of the observations into the BKG and LOCAL contributions reveals that the shift is largely in the LOCAL contribution rather than the BKG contribution, consistent with an enhanced wintertime emission factor for benzene (Tan et al., 2014; Lough et al., 2005), attributed to higher cold-start emissions and changes in fuel composition. An enhancement in wintertime benzene concentrations may also be partially attributed to an increase in benzene emissions from residential wood combustion (e.g., wood stoves, fireplaces). This enhancement would manifest in the BKG contribution (which is indeed slightly higher in the winter than the summer). On a national scale, this source is significant (CCME, 2012); however, in urban areas, wood heating is the primary home heating fuel for <0.1 % of residences (Matz et al., 2015), and so it is unlikely that this source is significant within the GTA. Increases in wintertime benzene may also be attributed to a shallower boundary layer height. A seasonal comparison is not available for black carbon.

To our knowledge, our dataset represents the first seasonal comparison of ambient HNCO measurements made at the same location. Figure 2c illustrates a decrease in HNCO concentrations from the summer to the winter. Shallower boundary layer heights would be expected to lead to enhanced wintertime concentrations if HNCO emissions and sources remain constant, and yet we observe lower concentrations of HNCO in the winter. Hence the boundary layer height is a potential issue that can reduce the apparent differences between summer and winter. Further inspection of Figs. 1a and 2c reveals that the seasonal difference is largely in the BKG contribution rather than the LOCAL contribution. The lower HNCO mixing ratios in the winter could be due to a reduction in photochemical activity and/or source strength of secondary HNCO precursors (e.g., biogenic amines) (Woodward-Massey et al., 2014; Roberts et al., 2014), or due to decreased influence from biomass burning. However, the extent to which wild fires contribute to summertime HNCO concentrations is not well established and may be less significant given HNCO's moderate lifetime (as short as a few hours in clouds, but typically weeks to hundreds of years) (Borduas et al., 2016; Barth et al., 2013; Zhao et al., 2014) and the distant location of major Canadian wildfire events relative to Toronto. Although residential wood burning could also contribute to HNCO across the GTA in the winter, a recent study by Coggon et al. (2016) showed that common residential wood fuels (e.g., heartwood and sapwood) have low nitrogen content and thus lower emissions of nitrogen-containing VOCs such as HNCO and HCN. Consistent with this finding and the low incidence of residential wood burning in the GTA (Matz et al., 2015), the HNCO BKG component is low in the winter. Rather, the LOCAL component dominates the contribution to the measured HNCO in the winter, indicating the significance of on-road emissions as an HNCO source. Although lower temperatures are thought to enhance HNCO vehicle emissions (particularly cold-start emissions) (Suarez-Bertoa and Astorga, 2016), the similarity in the magnitude of the LOCAL component between seasons suggests that, overall, the primary on-road HNCO emissions remain relatively constant.

Figure 3Median emission factors for (a) benzene, (b) HNCO, and (c) HCN calculated using the SPP plume-based approach (Plume) or the time-based approach with an integration period of 120 s (Time). The error bars show the interquartile range. Values obtained from the summer campaign (solid bars) and winter campaign (patterned bars).

Similar to HNCO, we observe a strong seasonal dependence for HCN. The histogram in Fig. 1b shows a much broader distribution and higher mean for the summer compared to the winter (Fig. 2d). Separation of the observations into BKG and LOCAL contributions in Fig. 1b reveals a strong seasonal difference for both components, although the difference is more striking for the BKG component. As with HNCO, despite shallower boundary layer heights in the winter, the overall concentrations are observed to be lower in the winter. The same arguments regarding the potential impact of residential wood burning on wintertime HNCO emissions apply to HCN. The large increase in BKG in the summer is consistent with the wildfire season in Canada, and that biomass burning is thought to be the major source of HCN to the atmosphere. Given the relatively long lifetime of HCN (∼2–5 months) (Li et al., 2003) compared to HNCO, biomass burning episodes in other parts of Canada would be expected to have a greater potential to influence background HCN in Toronto compared to HNCO. A strong seasonal pattern for HCN has previously been observed for tropospheric HCN column measurements (Zhao et al., 2002); seasonal measurements of HCN at an urban location have not been made. The bulk of the total measured HCN concentration is in the BKG component rather than the LOCAL component, especially in the summer, suggesting that, in relative terms, on-road HCN sources may be less significant than other regional or global sources. This is in contrast to benzene (dominant LOCAL component in both seasons) and HNCO (dominant LOCAL component only in the winter). Interestingly, examination of Fig. 1b also reveals a strong seasonal dependence in the LOCAL component, suggesting a possible seasonal dependence in the on-road HCN emissions, as discussed below (Sect. 3.3.3).

## 3.2 Comparison of plume-based vs. time-based emission factor methodologies

A discussion of trends within the plume-based and time-based emission factors, as well as a thorough comparison of the two methodologies, can be found in the Supplement for all species (Tables S6 and S7). Median EFs calculated using both the plume-based SPP approach and time-based approach (120 s interval) are also compared graphically in Fig. 3 for benzene, HNCO, and HCN. We find the time-based approach yields much higher (>80 %) median EFs for black carbon and NO than the plume-based approach. As discussed in the Supplement, the exact reason for the discrepancy is not known. However we note that both BC and NO are strongly associated with HDDVs and thus exhibit highly skewed EF distributions and that the time-based approach does not appear to adequately capture the small EF end of these distributions (Fig. S6). In contrast, we find that the two approaches yield median EFs within 25 % for species associated with LDGV emissions (benzene, toluene, C2 benzenes, NO2, PN, HNCO, and HCN) (see Fig. 3, Tables S6 and S7). The ability of the time-based methodology to capture similar EF trends (Fig. S7) and magnitudes as the plume-based approach for the majority of pollutants shows that this computationally simple analysis can provide basic insight regarding fleet-average emissions, although more work is required to fully understand the conditions and pollutants which are best suited to this approach. In the current study, the advantage of the time-based methodology is its ability to reveal seasonal trends in emission factors, which are reflections of the changing LOCAL (on-road) contributions. However, this method could potentially have useful applications for monitoring long-terms trends in vehicle emissions using near-road surveillance data or data from instruments with insufficient time resolution for a plume-based analysis. Since the LOCAL component used in the analysis may also include near-road or non-mobile sources, the EFs calculated using this method likely represent an upper bound.

Ultimately, periods of vehicle exhaust are defined with the highest confidence using the plume-based SPP approach and so we expect that this methodology yields the most accurate EFs. Because individual plumes are more likely to be associated with specific vehicles using this methodology, it also provides insight as to the variability of vehicle EFs and the presence of high-emitters within the fleet. Since the mean and standard deviation are sensitive to distortion by the presence of high-emitting vehicles in our modest sample sizes, we, and others (Westerdahl et al., 2009), suggest that the median and interquartile range (IQR) are more representative metrics for comparison with literature emission factors and for estimating inventories. Therefore all further discussion focuses on median EFs obtained using the plume-based SPP methodology unless stated otherwise. The distribution histograms of plume-based EFs are shown in Fig. 4 for benzene, BC, HNCO, and HCN and in Fig. S5 for others traffic pollutants (toluene, C2 benzenes, NO, NO2, NOx, and PN).

## 3.3 Plume-based fleet emission factors for common traffic pollutants

Our results are now compared to literature EFs for common traffic pollutants (benzene, toluene, C2 benzenes, NOx, PN, BC). In the subsequent sections, the fleet-average EFs estimated for black carbon, HNCO, and HCN are discussed in further detail.

Figure 4Plume-based emission factors obtained by CRUISER for (a) benzene, (b) BC, (c) HNCO, and (d) HCN for the SPP case (colored bars) and the MPP case (grey, dashed line). The median and mean EF values are indicated by the vertical black and colored lines respectively. Where available, the mean EF obtained by Wang et al. (2015) is indicated by the vertical grey line.

Plume-based median, mean, and interquartile range SPP EFs for a number of traffic pollutants are listed in Table 2, along with literature EFs obtained from tunnel, mobile, near-road or remote-sensing studies. The median and mean plume-based EFs calculated here are consistent with, but generally fall on the lower-end of, the EFs reported in the literature. The lower EFs obtained here may be a result of the study location: fleet-average EFs are highly sensitive to the make-up of the vehicle fleet (i.e., vehicle age, proportion of gasoline vs. diesel vehicles, after-treatment technologies in use), which is in turn location dependent (Kristensson et al., 2004; Zavala et al., 2006). Furthermore, EFs from previous studies may no longer be relevant due to improvements in emissions control technologies, removal of high-emitting vehicles, fleet turnover, and changes in regulations. Significant multidecadal decreases in vehicle emissions of CO, VOC, NOx, PM2.5, and BC have been observed previously (Jiang et al., 2005; McDonald et al., 2012, 2013; Ban-Weiss et al., 2008; Bishop and Stedman, 2008; Dallmann et al., 2013).

Thus, the low fleet-average EFs obtained in this study indicate that the GTA fleet is clean relative to some of those listed for comparison in Table 2. In 1999, the government of Ontario introduced a vehicle testing program (Drive Clean) aimed at improving air quality by identifying and removing or repairing high-emitting vehicles and resulting in a considerable decrease in smog-causing pollutants (NOx and total hydrocarbons) of about 16 % from program inception to 2010 (McCarter, 2012). Coincident with changes in gasoline regulations for benzene and other technology improvements, Canada introduced a Canada-Wide Standard for Benzene in 2010. Since then, the transportation sector has led a dramatic reduction in national average ambient concentrations of benzene, particularly in urban locations (CCME, 2012). Our relatively low EFs are hence consistent with the successful implementation of these and other policies, such as reduction in fuel sulfur content.

The most recent emission factor measurements for comparison were made at a near-road location in Toronto in 2013 and 2014 (Wang et al., 2015). The mean and median EFs for the VOCs, NOx, PN, and BC obtained here are in excellent agreement with those reported by Wang et al. (2015) (see Figs. 4 and S5). The approach for determining EFs presented here differs in (a) its mobile nature, covering a wide geographical area and range of road types and (b) its short time period (i.e., limited number of captured plumes). However, the mobile nature of our study results in a higher likelihood of sampling exhaust from a larger spectrum of vehicle types (including HDDVs) under a greater range of real-world driving conditions. The good agreement between the two studies for a wide range of pollutants gives confidence that our methodology provides representative fleet-average emission factors despite a smaller sample size. In this way the current study compliments the stationary study (Wang et al., 2015), demonstrating that the EFs obtained at their fixed location are applicable across a large region.

Table 2Plume-based median and mean emission factors calculated using single-peak plumes (SPP) for the summer and winter campaigns. Interquartile range (25th–75th percentile) shown in brackets. Units for numerator given in the pollutant column, units for denominator given in the header.

a Conversion from fuel-based units to distance-based units based on a fleet composed of 96 % LDV with a fuel consumption rate of 10.6 L 100 km−1 and 4 % HDV (vehicles > 4.5 t) with a fuel consumption rate of 28.5 L 100 km−1 (based on the 2009 Canadian Vehicle Survey, and combining MDV with HDV) (Natural Resources Canada, 2011). Fuel densities at 15 C of 730 kg m−3 (gasoline/LDV) and 840 kg m−3 (diesel/HDV) were used in all cases. b For EFs reported in distance-based units, conversion to fuel-based units using stated distribution of gasoline and diesel vehicles and fuel consumption rates where available. When not stated, fuel consumption rates of 10.6 L 100 km−1 for gasoline vehicles and 33.4 L 100 km−1 for diesel vehicles were used (based on 2009 Canadian Vehicle Survey) (Natural Resources Canada, 2011). If the distribution of vehicles in the study was not stated or unclear, the conversion was done assuming 96 % gasoline and 4 % diesel. Fuel densities at 15 C of 730 kg m−3 (gasoline/LDV) and 840 kg m−3 (diesel/HDV) were used in all cases. c C2 Benzenes corresponds to the sum of m-, p-, and o-xylene and ethylbenzene (protonated formula C8H11+). For literature reporting EFs for the individual species, the individual EFs were summed together. d Comparison to literature made for NOx and not NO or NO2 due to (a) unknown conversion of NO to NO2 post-tailpipe in our study and (b) reporting of NOx rather than NO or NO2 in the literature.

### 3.3.1 Black carbon emission factors

We obtained plume-based median and mean black carbon emission factors of 24.9 and 85.6 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ respectively (IQR: 10.3–76.4 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$). BC emission factors obtained by prior tunnel, near-road, and mobile studies are listed in Table S9 for comparison. Literature emission factors for heavy-duty diesel vehicles range from 160–2400 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$, 1 to 2 orders of magnitude higher than the literature emission factors for light-duty gasoline vehicles, which range from ∼1 to 300 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$. LDGV emission factors at the high end of this range are from older studies in more polluted environments (Westerdahl et al., 2009). In many of the earlier studies, BC emission factors were obtained using an aethalometer with a 1 min time resolution, which may not have been fast enough to accurately quantify BC emission factors. In the current study, the poor performance of the time-based approach with respect to yielding BC EFs in agreement with the plume-based approach may also indicate that high-time-resolution measurements of BC and good plume definition are required to accurately estimate BC EFs from mobile measurements. However, more comparisons are needed to determine if and how calculated BC EFs depend upon the BC measurement method.

As was observed for the other pollutants (benzene, NOx, PN etc.), the BC emission factors obtained in this study are on the lower end of the reported literature range. Two studies have made recent measurements of the mixed vehicle fleet in Toronto. Wang et al. (2015) made BC EF measurements from their near-road stationary site in downtown Toronto using a photoacoustic soot photometer and report a mean EF of (35–55) mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$. Liggio et al. (2012) obtained BC EFs from transect driving downwind, and perpendicular to, a major Toronto highway (mean HDDV fraction ∼3.3 %). The authors report fleet-average median emission factors of 59.3 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ (IQR: 27.0–148.4 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) using a HS-LII instrument and 29.4 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ (IQR: 11.8–66.0 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) using a single-particle soot photometer. The values from these two studies (Wang et al., 2015; Liggio et al., 2012) lie between the median and mean obtained in the current study.

The lower values obtained in this study compared to Liggio et al. could be reflective of overall changes in the vehicle fleet over the past 5 years leading to reductions in BC emissions, consistent with observations at other locations (Ban-Weiss et al., 2008; Dallmann et al., 2012). The discrepancy between our study and the other two Toronto studies could also be related to location: their fixed/limited sites may not be representative of the full fleet across the GTA. Given the difference in LDGVs and HDDV BC EFs, the emission factor calculation will be quite sensitive to the frequency at which each vehicle type is sampled, which will be location dependent. This sensitivity can be quite dramatic: a recent study (Dallmann et al., 2013) found that, due to their higher associated BC emissions, even a small fraction (<1 %) of heavy-duty trucks can significantly bias the calculated LDGV emission factors (by over 40 %). For a pollutant exhibiting wide inter- and intra-vehicle variation in EFs, obtaining measurements that capture the full fleet make-up over a range of driving conditions is critical. Although we did not record the number of HDDVs (expected fraction ∼4 %), the mobile design and scope of our study helps to mitigate location-specific results. Overall, we found that the top 4 % of plumes had vehicle emissions greater than 320 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ which are typical of heavy-duty vehicles.

### 3.3.2 HNCO emission factors

As previously mentioned, literature HNCO EFs have been obtained exclusively from a limited number of dynamometer studies (on both gasoline and diesel vehicles) and so a comprehensive understanding of the real-world magnitude and variability of HNCO EFs is lacking. Here we obtain the first fleet-average EFs for HNCO. Table 3 compares the HNCO emission factors available in the literature with the wintertime plume-based HNCO median EF obtained in this study (2.3 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$). Our time-based analysis (Fig. 3b) suggests that HNCO EFs are similar in the summer and winter (with slightly higher EFs in the summer, contrary to the behavior of benzene).

Only two previous dynamometer studies (Brady et al., 2014; Suarez-Bertoa and Astorga, 2016) obtained HNCO emission factors from gasoline vehicles and the average EFs reported from those studies differ by more than 1 order of magnitude. HCNO was measured by Acetate-TOF-CIMS and Fourier-transform infrared spectroscopy in the former (Brady et al., 2014) and latter (Suarez-Bertoa and Astorga, 2016) studies respectively. The plume-based median EF obtained in this study is about a factor of 2 higher than that obtained by the earlier study (fleet average of 0.91±0.58 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ for eight LDGVs) (Brady et al., 2014), but significantly lower than that obtained more recently (fleet average of 93 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ for three LDGVs, or 29 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ if the anomalously high LDGVs are omitted) (Suarez-Bertoa and Astorga, 2016).

Table 3Comparison of literature HNCO emission factors from the exhaust of various gasoline- and diesel-fueled engines in fuel-based units (mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$).

a Interquartile range; b median, mean; c fleet median for all 10 vehicles (all other values in the paper are reported in distance-based units mg km−1); d mean for the three gasoline vehicles (LDGVs); e mean for the gasoline vehicles omitting GV3 (anomalously high EFs).

Interestingly, emission factors ranging from 0.21 to 3.96 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ were recently obtained from an engine dynamometer study on a single light-duty diesel engine, in agreement with the results from the current study (Wentzell et al., 2013). This may suggest that HNCO emissions from gasoline and diesel vehicles are of similar magnitude. In contrast, HNCO emission factors for an off-road diesel engine have been found to be 1 order of magnitude higher, and it has been suggested that the magnitude and range of HNCO emissions, as well as their dependence on operating conditions, could be different for this type of engine (larger, off-road diesel engine) (Link et al., 2016; Jathar et al., 2017). Much of the early work on HNCO vehicle emissions was prompted by the finding that selective catalytic reduction (SCR) systems could constitute an important source of HNCO (Kröcher et al., 2005; Heeb et al., 2011, 2012), but the impact of SCR systems (or other control technologies such as the diesel particulate filter, DPF, or diesel oxidation catalyst, DOC) is disputed (Jathar et al., 2017).

In addition to a wide range of emission factors, the available literature revealed conflicting information on the conditions leading to elevated HNCO emissions, as well as high inter-vehicle variability. HNCO emissions have been observed to vary by as much as 1 order of magnitude depending on the driving cycle, but the influence of hard acceleration and cold engine starting is contested (Brady et al., 2014; Suarez-Bertoa and Astorga, 2016). Similarly, studies have demonstrated opposite trends for idle vs. active operating conditions (Link et al., 2016; Wentzell et al., 2013). For all these reasons, a direct comparison of the EF obtained in this study to reported EFs is challenging. The current study cannot reveal the mechanism of HNCO production from diesel or gasoline vehicles, or its dependence on factors such as driving condition and the presence of various after-treatment technologies. However, a key strength of our study is that it is based upon a large number of vehicles operating on-road in real-world conditions, thus implicitly reflecting a range of these factors. Therefore, we suggest that the IQR reported here (1.37–4.15 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) along with the overall distribution of measured HCNO EFs (Fig. 4c) provides the most realistic constraint to date on the magnitude and variability of HNCO emissions.

### 3.3.3 HCN emission factors

As with HNCO, EFs for HCN have been obtained exclusively from a limited number of dynamometer studies. Table 4 lists HCN emission factors obtained in this study along with those obtained from prior dynamometer studies; here distance-based units (mg km−1) are used for ease of comparison. The seasonal dependence of HCN vehicle emissions has not been previously studied. Interestingly, Fig. 3c shows that the HCN EFs obtained using the time-based approach exhibit a strong seasonal dependence, with the median summertime EF almost a factor of 5 higher than the median wintertime EF. This behavior is opposite that of benzene, which has higher wintertime EFs by about a factor of 2 due to enhanced cold-start emissions and changes in gasoline composition (Lough et al., 2005). Although the mechanisms for HCN and benzene formation are different (the former involving chemistry on high-temperature catalysts), the reasons for the higher HCN EFs in the summer are not known.

Early studies on some of the first-generation three-way catalysts yielded very high HCN emission factors, typically under abnormal or malfunctioning operating conditions (Bradow and Stump, 1977; Keirns and Holt, 1978; Cadle et al., 1979; Urban and Garbe, 1979, 1980). The magnitude of the HCN emissions exhibited high car-to-car variability and a strong dependence on operating conditions, as well as the presence and composition of the catalysts. An average LDGV HCN EF of 12.1 mg km−1 was estimated from a review (Harvey et al., 1983) of these early studies – over 2 orders of magnitude greater than the EFs obtained here. However, those EF estimations were obtained for all driving modes for both normal and abnormal operating conditions.

Given the significant improvements in catalyst and emissions reduction technologies since the 1970s and 1980s, the applicability of these early studies to current HCN emission is questionable. Certainly, more recent studies (Karlsson, 2004; Baum et al., 2006; Becker et al., 1999; Moussa et al., 2016) suggest that present-day HCN EFs are much lower with individual vehicle EFs ranging from 0 to 11.7 mg km−1 (see Table 4). However, these limited dynamometer studies also reveal a large inter-vehicle variability in HCN EFs, with no clear pattern between emissions and vehicle characteristics (e.g., age). The most recent study (Moussa et al., 2016) also showed that intra-vehicle EFs are highly sensitive to fuel injection technology (e.g., gasoline direct injection, GDI, vs. port-fuel injection, PFI), after-treatment technology (presence and absence of a particulate filter), and operating conditions (e.g., aggressiveness of driving cycle, hot vs. cold starts).

The median winter HCN EF obtained in this study (using either the plume-based or time-based approach) is over 1 order of magnitude lower than the average EF obtained by the most recent dynamometer study (Moussa et al., 2016). The higher summer HCN EF obtained by the time-based analysis is in better agreement, although it is still low. However, due to the aforementioned variability in the dynamometer results, a direct comparison is not straightforward. As with HNCO, our study provides the most comprehensive HCN emission factors available to date since the mobile design allows us to obtain EFs for a large number of vehicles, thereby capturing the real-world inter- and intra-vehicle variability of emissions. Similarly, the IQR (0.32–0.88 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) and distribution of measured EFs (Fig. 4d) give new insight into the range of on-road HCN emission factors.

Figure 5Cumulative emission factor distributions for SPP plume-based measurements: benzene (solid, green), BC (solid, purple), HNCO (solid, blue), HCN (solid, yellow), NO (dotted, light green), NO2 (dotted, light blue), NOx (dotted, light teal), and particle number (dotted, pink). A one-to-one line would indicate that all vehicles have the same emission factor.

## 3.4 Emission factor distributions: contributions from high-emitters

The spread in the EFs for all measured pollutants is wide, consistent with prior mobile studies (Park et al., 2011; Hudda et al., 2013; Zavala et al., 2009). Such variability is expected given the differences in speed, acceleration, grade, and inter-vehicle variability occurring on-road. As illustrated by Figs. 4 and S5, the EFs are log-normally distributed, with the degree of skewness dependent on pollutant. Skewness in EF distributions is typically attributed to the presence of high-emitting vehicles among the fleet, but may also arise from the range and transient nature of driving conditions experienced in the real world (e.g., hard acceleration). The distributions provide insight into the strategy for emission reductions. From a policy perspective, pollutants exhibiting a more normal distribution may be most effectively targeted by tightening fleet-wide regulations while those exhibiting a more skewed distribution may be most effectively targeted, initially, by the removal of high-emitters (Hudda et al., 2013).

Table 4Comparison of literature HCN emission factors from the exhaust of various gasoline- and diesel-fueled engines in distance-based units (mg km−1). NA stands for “not available”.

a Interquartile range; b median, mean.

Cumulative emission factor distributions for several pollutants are presented in Fig. 5. These plots highlight the relative skewness of EFs for each pollutant by displaying the fraction of total emissions as a function of the fraction of vehicles, sorted from largest to smallest EF. The distributions are highly skewed for NO and PN and exceptionally skewed for BC, as observed by others (Jiang et al., 2005; Hudda et al., 2013; Liggio et al., 2012). This behavior is expected given that these pollutants are emitted in large quantities from diesel-powered vehicles, which represent a small fraction of the fleet (Jiang et al., 2005; Ban-Weiss et al., 2008, 2010; Jimenez et al., 2000; Dallmann et al., 2012, 2013; Liggio et al., 2012; Wang et al., 2015; Tan et al., 2014) and hence were encountered by CRUISER less often. For NO, it is also likely that an unknown quantity of emitted NO is being converted to NO2 before plume capture (hence the high frequency of EFs in the lowest bin, <0.15 g kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$), further exacerbating the skewness. For BC, the top 25 % worst emitters, likely all diesel vehicles, contribute to more than 80 % of the total emissions, while the top 5 % contribute to almost 50 %. At a near-road site in Toronto, the top 25 % worst emitters were found to contribute to 100 % of the total BC emissions, with the top 5 % contributing >60 % (Wang et al., 2015). As more heavy-duty vehicles become equipped with particulate filters and advanced NOx abatement technologies (i.e., SCR systems) the overall EF distributions for pollutants such as BC and NO may shift, but the skewness could actually increase unless high-emitters, such as the older, legacy diesel vehicles, are specifically targeted (McDonald et al., 2013).

Table 5Annual traffic pollutant emissions from the transportation sector and biomass burning for Canada and Ontario.

a In 2015, net sales for gasoline and diesel in Canada were 4.26×1010 and 1.80×1010 L respectively (Statistics Canada, 2016). The total mass of fuel is calculated assuming a fuel density at 15 C of 730 and 840 kg m−3 for gasoline and diesel respectively, for a nationwide total of 4.62×107 t of fuel. In 2015, net sales of gasoline and diesel in Ontario were 1.63×1010 and 5.43×109 L respectively, for a provincial total of 1.64×107 t (Statistics Canada, 2016). Vehicle emissions were calculated using the plume-based SPP emission factors. b Wildfire CO emissions were calculated to be 5003 and 37.3 kt for Canada and Ontario respectively. c HNCO emission calculated using HNCO/CO emission ratio (ER) for oak woodlands of 0.7 mmol HNCO mol CO−1 (Veres et al., 2010). d HCN emission calculated using HNCO/CO ER of 0.00242 mol HCN mol CO−1 (Rinsland et al., 2007). e HCN emission calculated using HNCO/CO ER of 0.012 mol HCN mol CO−1 (Akagi et al., 2011). f Estimated NOx emissions for 2015 from light- and heavy-duty diesel and gasoline vehicles, trucks, and motorcycles (Air Pollution Emission Inventory, 2018). g Estimated on-road transportation benzene emissions for 2008 (Canada-Wide Standard for Benzene: 2010 Final Report). h Estimated BC emissions for 2015 from diesel (5679 t) and gasoline (722 t) on-road vehicles (Canada's Black Carbon Inventory: 2017 Edition).

The EF distributions for the VOCs were less skewed (Jiang et al., 2005; Hudda et al., 2013; Wang et al., 2015). The benzene, HNCO, and HCN profiles in Fig. 5 are similar, with the top 25 % worst emitters contributing 55 %–60 % of the total emissions and the top 5 % contributing 20 %–30 %. The less skewed distributions for HNCO and HCN may indicate that their HDDV EFs are not significantly higher than their corresponding LDGV EFs. The least skewed pollutant in this study is NO2 – the top 25 % worst emitters only contribute to ∼50 % of total emissions and the top 5% contribute to ∼15 %. As suggested above, post-tailpipe conversion of NO to NO2 is likely occurring prior to measurement. The cumulative emission factor distribution for NOx (= NO +NO2) more closely resembles the distribution for VOCs and NO2 than NO.

## 3.5 Vehicle emission estimates for Canada

Annual emissions for Ontario and Canada can be estimated using the fuel-based EFs and from annual sales of gasoline and diesel. The assumption here is that the gasoline and diesel sales are proportional to the number of gasoline- and diesel-powered vehicles on the road and that the EFs obtained from the mobile measurements reflect this distribution. A summary of total vehicle emissions of NOx, benzene, BC, HNCO, and HCN calculated using the median plume-based emission factors is given in Table 5. Nationwide inventory estimates for NOx (Air Pollutants Emissions Inventory, 2015), benzene (CCME, 2012), and BC emissions (ECC, 2017) by the transportation sector are also listed in Table 5 for comparison. For all three pollutants, the scaled-up emissions were more than a factor of 2 lower than the inventory estimates. Using the mean EFs rather than median reduces this discrepancy. Our results suggest that the inventories may be overestimated but more work is required to understand the reasons for the difference.

We estimate that on a national scale, 104 t of HNCO and 24 t of HCN are emitted annually by on-road vehicles. These values are lower than the recent nationwide estimates of 250–770 t HNCO for 2010 (Wentzell et al., 2013) and 703 t HCN for 2012 (Moussa et al., 2016), owing to the lower fleet-average EFs obtained in this study. These vehicle emissions can be placed in the context of their respective biomass burning emissions. Total wildfire emissions of CO during the 2015 wildfire season (31 May–2 November 2015) were calculated using FireWork-GEM-MACH (Pavlovic et al., 2016). These total CO emissions were then scaled by literature emission ratios (ER) expressed as mole of pollutant per mole of CO to estimate biomass burning emissions (Table 5). Only a few studies have investigated HNCO ERs (Veres et al., 2010; Roberts et al., 2011). Biomass burning emissions of HCN have been the subject of a greater number of studies, but a recent review notes that the HCN/CO ER can be different for different fire types and that even within single or similar fire types there is a high variability in HCN emissions (Akagi et al., 2011).

In 2015, HNCO emissions from forest fires were estimated at 5377 and 40 t for Canada and Ontario respectively. Although on a national scale the HNCO vehicle emissions are over 1 order of magnitude lower than the biomass burning emissions, in urban areas the vehicle source becomes relatively more significant. This is seen in the provincial comparison, where the greater population density and lower frequency of forest fires in Ontario results in HNCO vehicle emissions comparable in magnitude to biomass burning emissions. When secondary formation of HNCO from precursors in vehicle exhaust is also taken into account (Link et al., 2016; Liggio et al., 2017b), the significance of vehicle emissions as a source of HNCO will likely be further enhanced.

In 2015, the HCN emissions from forest fires were estimated at (1.2–5.8)×104 and (87–431) t for Canada and Ontario respectively. At the national scale, the biomass burning emissions are about 3 orders of magnitude greater than the vehicle emissions. Even at the provincial scale, the biomass burning emissions are about 1 order of magnitude greater than the vehicle emissions. This result is consistent with the large BKG component to the ambient measurements made in the study. If the summertime EF obtained using the time-based approach is used (2.7 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) then the total vehicle emissions of HCN are estimated at 125 and 44 t for Canada and Ontario respectively, still lower than previous estimates (Moussa et al., 2016). Although biomass burning emissions continue to be the dominant source of HCN in this estimation, the potential significance of vehicles as a source of HCN, especially in urban areas with minimal BB influence, is non-negligible.

4 Conclusions and implications

We deployed a mobile laboratory over a large metropolitan area, capturing exhaust emissions from a large number of vehicles under a range of operating conditions and driving environments. Plume-based and time-based algorithms were developed to estimate EFs from the on-road measurements. The plume-based method avoids cumbersome cross-reference with recorded vehicle plumes (i.e., as in “vehicle chase” methods) and shows potential for obtaining real-world EFs from limited-term mobile studies with minimal computational effort. The time-based method was found to perform well for pollutants with less skewed EF distributions (i.e., not associated with high HDDV emissions) and best for pollutants with minimal local sources (i.e., HNCO and HCN). Further studies are required to fully validate the time-based method, but this approach could potentially be used to calculate EFs from near-road sites with lower-time-resolution datasets. Both methodologies could thus be efficient ways of rapidly monitoring trends in emission factors, especially for pollutants whose emissions are likely to be influenced by emerging technologies or policies. Hence, this approach could be valuable for documenting accountability.

Based on good agreement of the plume-based EFs with reported literature EFs for common traffic pollutants, and the more precise definition of vehicle exhaust for this methodology, the plume-based EFs are considered to be superior to the time-based EFs. Due to the broad range of vehicles and real-world conditions captured by the measurements, the plume-based algorithm applied to mobile measurements provides a better average EF for use in scaling up emissions or for assessing general exposure than a limited number of dynamometer studies. We thereby obtain the first and most representative fleet-average emission factors for HNCO and HCN, as well as insight into their real-world variability.

The plume-based EF obtained for black carbon in this study (median: 25 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$, IQR: 10–76 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) is consistent with decreases in vehicular BC emissions over time (Ban-Weiss et al., 2008; Dallmann et al., 2013). Despite this improvement, our work, like that of others, shows that a small number of vehicles (predominantly HDDV) are responsible for a disproportionate amount of the on-road BC emissions. As a result, BC concentrations, and hence exposure, are highest near highways and major roadways, and efforts to target these emissions will likely have a strong impact on local air quality. In North America, GDI vehicles are replacing PFI vehicles, which currently dominate the light-duty fleet (Chan et al., 2014). GDI vehicles promise advantages such as lower fuel consumption but have been shown in recent studies to emit more BC than their PFI counterparts (Saliba et al., 2017) – although introduction of gasoline particulate filters could mitigate this effect (Chan et al., 2014; Saliba et al., 2017). Future decreases in diesel emission of BC are also predicted (Dallmann et al., 2012) as the fleet turns over and more diesel trucks on the road are equipped with diesel particulate filters. Therefore, it is critical that fleet emissions of BC are monitored in the future, with careful attention to the relative contributions from heavy-duty vs. light-duty vehicles. Since BC also impacts global climate change (Highwood and Kinnersley, 2006; Bond et al., 2013), mitigating vehicle emissions of BC has the dual benefit of meeting air pollution and climate targets (Bahadur et al., 2011; Bond et al., 2013).

Overall, our results indicate that a vehicle fleet dominated by light-duty gasoline vehicles is a source of HNCO and HCN to the atmosphere, with plume-based median EFs under wintertime, real-world, driving conditions of 2.3 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ (IQR: 1.4–4.2 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) and 0.52 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$ (IQR: 0.32–0.88 mg kg${}_{\mathrm{fuel}}^{-\mathrm{1}}$) respectively. Given our poor understanding of how emerging emission control technologies (e.g., SCR systems, diesel oxidation catalysts) influence HNCO emissions, it is imperative that fleet emissions of HNCO are studied over time. The impact of vehicle emissions on secondary HNCO production in urban areas should also be investigated.

Our work demonstrates that HCN emission factors obtained in outdated dynamometer studies for LDGVs equipped with first-generation three-way catalysts under abnormal operating conditions (Harvey et al., 1983) are not applicable to the present day. However, they indicate that the most recent dynamometer studies (Moussa et al., 2016; Karlsson, 2004) may also overestimate real-world HCN emissions. Overall, the relatively small vehicle emission factor obtained in this study suggests that vehicles are not likely a significant source of HCN on a regional and larger scale. However, in view of the discrepancies between this study and others (Moussa et al., 2016), and the paucity of HCN measurements in urban locations, more work is required to establish the atmospheric significance of vehicle emissions of HCN at the neighborhood and smaller scale. In particular, the extent and cause of variation in HCN concentrations and emission factors, which appear to vary widely in ambient measurements and dynamometer studies respectively, should be further constrained and understood. Future research should also seek to understand the reasons for the observed seasonal variation in HCN concentrations and emission factors.

Data availability
Data availability.

The underlying mobile data (HNCO, HCN, black carbon, VOC, NO2, NO, CO2, PN, metadata) for the summer and winter campaigns are available at the Pan Am 2015 study site (Government of Canada, 2018, https://open.canada.ca/data/en/dataset/1260ee96-7acf-489e-826b-de96f0c19fcb). The complete output of the plume-based and time-based EF algorithms and other related data are available at the request of the corresponding authors.

Supplement
Supplement.

Author contributions
Author contributions.

JRB, JL, KH, and CS were responsible for the planning, execution, and oversight of the mobile studies. JL and JJBW obtained the HNCO and HCN data. GL obtained the BC and PN data. RLM obtained the CO2 data. SNW and YH obtained the VOC data. SNW and YH obtained the NO data. CMM obtained the NO2 data. JL and SNW developed the algorithms and conceptualized the present study. SNW performed the calculations and analysis with input from JL and JRB. SNW prepared the paper with comments from all authors.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Acknowledgements
Acknowledgements.

We thank the technical support staff and information management/information technology team of AQRD for assistance with equipment and data system installation, data management, and driving. We thank Amy Leithead for assistance with the PTR-TOF-MS and Junhua Zhang for providing the wildfire CO estimates from Firework-GEM-MACH. This program was supported by the Clean Air Regulatory Agenda (CARA).

Edited by: James Roberts
Reviewed by: two anonymous referees

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