Unexpected long-range transport of glyoxal and formaldehyde observed from the Copernicus Sentinel-5 Precursor satellite during the 2018 Canadian wildfires

Glyoxal (CHOCHO) and formaldehyde (HCHO) are intermediate products in the tropospheric oxidation of the majority of volatile organic compounds (VOCs). CHOCHO is also a precursor of secondary organic aerosol (SOA) in the atmosphere. CHOCHO and HCHO are released from biogenic, anthropogenic, and pyrogenic sources. CHOCHO and HCHO tropospheric lifetimes are typically considered to be short during the daytime at mid-latitudes (e.g. several hours), as they are rapidly removed from the atmosphere by their photolysis, oxidation by OH, and uptake on particles or deposition. At night and at high latitudes, tropospheric lifetimes increase to many hours or even days. Previous studies demonstrated that CHOCHO and HCHO vertical column densities (VCDs) are well retrieved from space-borne observations using differential optical absorption spectroscopy (DOAS). In this study, we present CHOCHO and HCHO VCDs retrieved from measurements by TROPOMI (TROPOspheric Monitoring Instrument), launched on the Sentinel5 Precursor (S5P) platform in October 2017. We observe strongly elevated amounts of CHOCHO and HCHO during the 2018 fire season in British Columbia, Canada, where a large number of fires occurred in August. CHOCHO and HCHO plumes from individual fire hot spots are observed in air masses travelling over distances of up to 1500 km, i.e. much longer than expected for the relatively short tropospheric lifetime expected for CHOCHO and HCHO. Comparison with simulations by the particle dispersion model FLEXPART (FLEXible PARTicle dispersion model) indicates that effective lifetimes of 20 h and more are needed to explain the observations of CHOCHO and HCHO if they decay in an effective first-order process. FLEXPART used in the study calculates accurately the transport. In addition an exponential decay, in our case assumed to be photochemical, of a species along the trajectory is added. We have used this simple approach to test our assumption that CHOCHO and HCHO are created in the fires and then decay at a constant rate in the plume as it is transported. This is clearly not the case and we infer that CHOCHO and HCHO are either efficiently recycled during transport or continuously formed from the oxidation of longer-lived precursors present in the plume, or possibly a mixture of both. We consider the best explanation of the observed CHOCHO and HCHO VCD in the plumes of the fire is that they are produced by oxidation of longer-lived precursors, which were also released by the fire and present in the plume.

Abstract. Glyoxal (CHOCHO) and formaldehyde (HCHO) are intermediate products in the tropospheric oxidation of the majority of volatile organic compounds (VOCs). CHO-CHO is also a precursor of secondary organic aerosol (SOA) in the atmosphere. CHOCHO and HCHO are released from biogenic, anthropogenic, and pyrogenic sources. CHOCHO and HCHO tropospheric lifetimes are typically considered to be short during the daytime at mid-latitudes (e.g. several hours), as they are rapidly removed from the atmosphere by their photolysis, oxidation by OH, and uptake on particles or deposition. At night and at high latitudes, tropospheric lifetimes increase to many hours or even days. Previous studies demonstrated that CHOCHO and HCHO vertical column densities (VCDs) are well retrieved from space-borne observations using differential optical absorption spectroscopy (DOAS). In this study, we present CHOCHO and HCHO VCDs retrieved from measurements by TROPOMI (TROPOspheric Monitoring Instrument), launched on the Sentinel-5 Precursor (S5P) platform in October 2017. We observe strongly elevated amounts of CHOCHO and HCHO during the 2018 fire season in British Columbia, Canada, where a large number of fires occurred in August. CHOCHO and HCHO plumes from individual fire hot spots are observed in air masses travelling over distances of up to 1500 km, i.e. much longer than expected for the relatively short tropospheric lifetime expected for CHOCHO and HCHO. Comparison with simulations by the particle dispersion model FLEXPART (FLEXible PARTicle dispersion model) indi-cates that effective lifetimes of 20 h and more are needed to explain the observations of CHOCHO and HCHO if they decay in an effective first-order process. FLEXPART used in the study calculates accurately the transport. In addition an exponential decay, in our case assumed to be photochemical, of a species along the trajectory is added. We have used this simple approach to test our assumption that CHOCHO and HCHO are created in the fires and then decay at a constant rate in the plume as it is transported. This is clearly not the case and we infer that CHOCHO and HCHO are either efficiently recycled during transport or continuously formed from the oxidation of longer-lived precursors present in the plume, or possibly a mixture of both. We consider the best explanation of the observed CHOCHO and HCHO VCD in the plumes of the fire is that they are produced by oxidation of longer-lived precursors, which were also released by the fire and present in the plume.
L. M. A. Alvarado et al.: Unexpected long-range transport of glyoxal and formaldehyde organic compounds) have similar rates of reaction with the hydroxyl radical (OH) in the troposphere, the photolysis frequency of HCHO, which absorbs and is photolysed in the ultraviolet-A (UV-A), is significantly smaller than that of CHOCHO, which absorbs in the blue. As a result, the atmospheric lifetime of HCHO is longer than that of CHO-CHO (Atkinson, 2000). Both species are short-lived during daytime due to their rapid removal by photolysis and reaction with OH radicals (Atkinson, 2000;Volkamer et al., 2007). These processes are the major sinks of CHOCHO and HCHO, contributing about 69 % and 96 %, respectively. The remaining part of HCHO is removed by deposition (4 %), while for CHOCHO 22 % is removed by secondary organic aerosol (SOA) formation and 8 % by deposition (Stavrakou et al., 2009a, b). Additionally, HCHO and probably also CHO-CHO during the night are removed by reaction with nitrate (NO 3 ) radicals (Atkinson, 2000). CHOCHO and HCHO play a key role in tropospheric chemistry because they act as temporary reservoirs releasing carbon monoxide (CO) and HO x (OH and hydroperoxyl, HO 2 ) free radicals, which participate in catalytic cycles creating and destroying tropospheric ozone (O 3 ).
The slant and vertical column densities of HCHO were first observed from space using measurements from the GOME instrument (e.g. Burrows et al., 1999, and references therein). These columns were later used to estimate the emission strength of precursor VOCs (Palmer et al., 2003;Abbot et al., 2003). The simultaneous observation of CHOCHO and HCHO (Wittrock et al., 2006) enabled an improved assessment of atmospheric VOC levels, and the knowledge of the ratio of CHOCHO to HCHO (R GF ) (Vrekoussis et al., 2010) provides some differentiation of source types. Studies have used HCHO, partly in combination with CHOCHO to estimate the biogenic isoprene emissions (Fu et al., 2007;Stavrakou et al., 2009a, b, c;Liu et al., 2012;Marais et al., 2012). This is the largest natural source of CHOCHO (Guenther et al., 2006;Fu et al., 2007). The amount of biogenically emitted VOCs depends on several factors including, amongst others, the plant species and weather conditions (e.g. temperature and humidity) (Guenther et al., 2000). In urban and rural regions, there are also contributions to the amounts of CHOCHO from human activities, such as from fossil fuel production, distribution, and combustion: the largest anthropogenic source of VOC precursors of CHOCHO being motor vehicle emissions due to either evaporation or incomplete combustion of fuel (Kansal, 2009). Globally, 55 % of CHO-CHO is produced by biogenic precursors, 27 % is from anthropogenic emissions, and the remaining 18 % is from pyrogenic emissions (Stavrakou et al., 2009b). Fires and vehicle exhausts are thought to be the only two sources which directly emit CHOCHO (Stavrakou et al., 2009b;Zhang et al., 2016).
In August 2018, unusually high temperatures caused severe drought in some areas of North America and resulted in the outbreak of many wildfires: the province of British Columbia (BC) in Canada was one of the most affected areas. The 2018 season is the worst on record, with 6826 fires being detected and an area of approximately 22 500 km 2 of land burned (Natural Resources Canada, 2018). These fires emitted many different pollutants into the atmosphere, e.g. CO, NO x , VOC, OVOC, O 3 , SO 2 , CO 2 , HONO, CH 3 COO 2 NO 2 (PAN), and other toxic species, as well as aerosols (Urbanski et al., 2018). During the transport of plumes from fires, photochemical transformation of emitted species occurs. Overall, polluted air is transported to regions where the plumes are dispersed. CHOCHO and HCHO column amounts are observed by remote sensing from satellite using differential optical absorption spectroscopy (DOAS) on measurements of the radiances backscattered from the Earth's surface and atmosphere. The global maps of CHOCHO and HCHO retrieved from SCIAMACHY, GOME-2, and OMI show enhanced CHOCHO and HCHO over tropical rain forests but also over other regions with high isoprene emissions. In addition, hot spots of CHOCHO and HCHO from fire emissions can be detected over large wildfires (Wittrock et al., 2006;Vrekoussis et al., 2009Vrekoussis et al., , 2010Lerot et al., 2010;Chan Miller et al., 2014;Alvarado et al., 2014;De Smedt et al., 2008. In this study, we present novel observations of CHOCHO and HCHO retrieved from the high spatial resolution observations by TROPOMI (TROPOspheric Monitoring Instrument) on board the Sentinel-5 Precursor (S5P) platform. On 7 August 2018, strongly elevated amounts of CHOCHO and HCHO were observed over British Columbia and attributed to being predominantly from fires. Surprisingly, these elevated levels of CHOCHO and HCHO were not limited to the vicinity of the fires. The fire plumes, which contain both CHOCHO and HCHO, remained visible for several days and appeared to travel long distances from the sources. We have used forward simulations of atmospheric transport of air masses calculated using FLEXPART (FLEXible PARTicle dispersion model) (Pisso et al., 2019). The simulations include an effective first-order loss, which determines the mean effective lifetime of the tracer. Those tracers emitted over the fire hot spots with long effective lifetimes reproduce best the evolution of the plumes of CHOCHO and HCHO for most of the fire events, and thus provide estimates of the effective lifetimes of CHOCHO and HCHO in the plumes, as is described in the sections below. The R GF provides knowledge about their sources in the plume. CO and nitrogen dioxide (NO 2 ) have respectively longer and shorter lifetimes with respect to reaction with OH, and smoke and aerosol are also transported in the plumes from fires. Consequently, the retrieved vertical column densities of CO and NO 2 from TROPOMI and true-colour images from the VI-IRS (Visible Infrared Imaging Radiometer Suite) instrument on board NPP (Suomi National Polar-orbiting Partnership), which measures nearly simultaneously with TROPOMI, are used as complementary information in our interpretation of the apparent enhanced lifetime of CHOCHO and HCHO in the plume.

CHOCHO and HCHO observations
The differential optical absorption spectroscopy (DOAS) method has been successfully applied to retrieve atmospheric columns of trace gases having fingerprint narrow absorption bands in the solar spectral range from space-borne instruments (e.g. Burrows et al., 1999). As noted above, there are several studies describing retrievals of OVOCs and their use for the identification of VOC sources and their emissions Palmer et al., 2001;Wittrock et al., 2006;Kurosu et al., 2007;Vrekoussis et al., 2009Vrekoussis et al., , 2010Lerot et al., 2010;De Smedt et al., 2008Hewson et al., 2013;González Abad et al., 2015;Chan Miller et al., 2014;Alvarado et al., 2014Alvarado et al., , 2015. Algorithms for the retrieval of HCHO and CHOCHO have been developed for measurements from the SCanning Imaging Absorption spec-troMeter for Atmospheric CHartographY (SCIAMACHY) (Burrows et al., 1995;Bovensmann et al., 1999), the Ozone Monitoring Instrument (OMI) (Levelt et al., 2006), and the second Global Ozone Monitoring Experiment on MetOp-A and -B (GOME2-A and -B) (Munro et al., 2016), which in combination provide a continuous dataset covering a period of more than 20 years. In this study, measurements from TROPOMI on board the Sentinel-5 Precursor (Veefkind et al., 2012) are used to retrieve atmospheric column amounts of CHOCHO and HCHO. A brief instrument description and relevant details of the retrieval of CHOCHO and HCHO are given below.

TROPOMI
The TROPOspheric Monitoring Instrument (TROPOMI) on board the Copernicus Sentinal-5 Precursor satellite was launched on 13 October 2017. It has a spectral range in the UV-Vis-NIR-SWIR, covering wavelengths from 270 to 500 nm in the UV-Vis (ultraviolet to visible), from 675 to 775 nm in the NIR (near-infrared), and a band from 2305 to 2385 nm in the SWIR (shortwave infrared). These bands allow for the observation of several relevant atmospheric species, including CHOCHO, HCHO, NO 2 , and CO. TROPOMI provides nearly global coverage each day at a spatial resolution which in August 2018 was 3.5 km × 7 km (7 km × 7 km in the SWIR). The Equator crossing time is 13:30 LT (ascending node). Similar to OMI, TROPOMI is a nadir-viewing imaging spectrograph, employing a twodimensional CCD (charge-coupled device): one dimension collecting the spectral information and the other being used for the spatial information. TROPOMI on board the S5P satellite provides data since November 2017 (Veefkind et al., 2012).

CHOCHO retrieval from TROPOMI measurements
In recent years, several improvements in the retrieval of CHOCHO have been reported. In 2014, Chan Miller et al. (2014) and Alvarado et al. (2014) presented new CHO-CHO retrieval algorithms applied to OMI measurements. These studies, similar to previous studies on GOME2-A data, introduced approaches to reduce interference by other absorbers, such as liquid water and NO 2 . In this study, an optimized retrieval algorithm for CHOCHO was developed, building on the heritage from the OMI CHOCHO retrieval presented by Alvarado et al. (2014) and extended and applied to S5P measurements. Previous studies have shown that cross-correlations between reference cross sections, as well as instrumental structures and shifts in the wavelength calibration, can introduce systematic errors in the retrieval. As a result, a strong dependence on the fitting window was identified in the retrieved CHOCHO slant column densities (SCDs) (Chan Miller et al., 2014;Alvarado et al., 2014). In this study, a fitting window from 433 to 465 nm was chosen, which is slightly larger than windows used in previous investigations (Vrekoussis et al., 2010;Alvarado et al., 2014). This fitting window, which enables the liquid water absorption to be retrieved, leads to a reduction in the number of negative CHOCHO SCDs over oceanic regions in comparison to a shorter fitting window (e.g. 434-458 nm), as well as a reduction in the residuals. The wavelength range selected covers the strong absorption bands of CHOCHO (452-457 nm), which have already been used in the past to retrieve CHOCHO from ground-and ship-based DOAS configurations as well as from satellites (Sinreich et al., 2007(Sinreich et al., , 2010Wittrock et al., 2006;Vrekoussis et al., 2009Vrekoussis et al., , 2010Lerot et al., 2010;Chan Miller et al., 2014;Alvarado et al., 2014;Behrens et al., 2019). In order to optimize the quality of the retrievals, a row-dependent daily mean Pacific spectrum from the region 50 • S, 160 • E to 50 • N, 135 • W is used as a background spectrum , which is computed by averaging over the whole latitude range (50 • S to 50 • N) for each across-track viewing direction independently. In addition, the mean CHOCHO SCD over the region 30 • S, 150 • W to 30 • N, 150 • E is computed each day and subtracted from all SCDs to correct for possible offsets. A summary of the selected absorption cross sections, and other parameters used in the retrieval as well as a list of the species included in the retrieval, is shown in Table 1. SCDs depend on observation geometry. Vertical column densities (VCDs) are derived from the SCDs by use of socalled air mass factors (AMFs), which depend on the tracegas profile, surface albedo, aerosols, clouds, and on solar zenith angle and measurement geometry. As the focus of this study is the observation of CHOCHO in biomass burning emissions, a simple CHOCHO profile with a Gaussian distribution having its maximum peak at the altitude of the aerosol layer is used (see Fig. 1a). This is based on the as-  (Volkamer et al., 2005b) No Yes (296 K) NO 2 (Vandaele et al., 1998) Yes (220 K) Yes (220, 2294 K) O 4 (Thalman and Volkamer, 2013) Yes (293 K) Yes (293 K) O 3 (Serdyuchenko et al., 2014) Yes (223, 243 K) Yes (223 K) BrO (Fleischmann et al., 2004) Yes (223 K) No H 2 O (Rothman et al., 2013) No Yes (296 K) Liquid water (Mason et al., 2016) No Yes (280 K) Ring effect Ring cross section calculated by SCIATRAN model (Vountas et al., 1998) Non-linear ozone absorption effects, two pseudo absorption cross sections Taylor  sumption that CHOCHO is found at the same location as the main plume of aerosol and other trace gases. The altitude of the aerosol layer was estimated from profiles retrieved by the Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation (CALIPSO) (Vaughan et al., 2004) (Fig. 1b). These aerosol extinction coefficient (k ext ) profiles retrieved at 532 nm are also used in the calculation of the AMFs by the radiative transfer model SCIATRAN (Rozanov et al., 2013).
The computations have been performed on a daily basis, assuming a single scattering albedo of 0.92 and a homogenous distribution of aerosols characterized by the mean profile in the whole region of study. The latter is computed from the average of all aerosol profiles taken over the region after removing cloud-contaminated pixels (see Fig. 1c). Clouds are not explicitly accounted for in the CHOCHO and HCHO retrievals, but data are filtered for the presence of clouds using an intensity criterion corresponding to a cloud radiance fraction of about 50 %.

HCHO retrieval from TROPOMI measurements
The accuracy of DOAS retrievals of HCHO is limited by cross-correlations with strong absorbers in the UV (e.g. O 3 ) and the signal-to-noise ratio of the radiance spectra measured by the instrument. Here, an updated and optimized version of the formaldehyde retrieval developed by Wittrock et al. (2006) and Vrekoussis et al. (2010) is used, which applies a slightly larger fitting window extending from 323.5 to 361 nm, resulting in a reduction in the noise of the retrieved slant column densities. At wavelengths shorter than 336 nm, interference with O 3 is observed due to the small optical depth of HCHO, which is about 3 orders of magnitude smaller. This effect is compensated by applying the method described by Puk ,ī te et al. (2010), which consists of adding two additional pseudo cross sections to the fit (λσ O 3 and σ 2 O 3 ) (Puk ,ī te et al., 2010;De Smedt et al., 2008. The cross sections of interfering species are included in the fit as listed in Table 1. In a manner similar to the retrieval of CHOCHO, a synthetic ring spectrum (Vountas et al., 1998) is used to account for the ring effect and a row-dependent daily mean Pacific spectrum from the region 50 • S, 135 • W to 50 • N, 16 • E is used as background spectrum. A latitude-dependent offset correction based on SCDs from longitudes between 180 • E and 160 • E is applied to the data. As for CHOCHO, VCDs are computed using AMFs, assuming a Gaussian shape for the distribution of HCHO at the layer where the aerosols are located in the plume. Figure 2a and b show examples of CHOCHO and HCHO fit results for 10 August 2018 compared to the differential reference cross section for a single measurement. For an individual CHOCHO measurement, the detection limit is of the order of 5 × 10 14 molec. cm −2 , which is about 10 times smaller than the columns detected from emissions of the wildfires over the British Columbia region of Canada. For HCHO, the detection limit is an order of magnitude higher (4.5×10 15 molec. cm −2 ). The detection limit of a single S5P measurement in this study has been estimated in a manner similar to that explained in Alvarado et al. (2014).

Simulation of tracer transport with FLEXPART
In order to simulate the transport of emissions from the Canadian wildfires, forward simulations with version 10.3 of the FLEXible PARTicle dispersion model (FLEXPART) (Stohl et al., 2005;Pisso et al., 2019) have been performed. The model was driven by using hourly wind fields from the ECMWF (European Centre for Medium-Range Weather Forecasts) ERA5 reanalysis (C3S) at 0.25 • horizontal resolution. As a transport model, FLEXPART does not simulate the complete set of chemical transformations leading to the observed lifetimes of trace gases in the biomass burning The SCD values for this example are 9.3 × 10 15 molec. cm −2 for CHOCHO and 4.6 × 10 16 molec. cm −2 for HCHO, respectively. The detection limit for a single measurement from S5P is estimated to be 5.0 × 10 14 molec. cm −2 and 4.5 × 10 15 molec. cm −2 for CHOCHO and HCHO, respectively. plumes. However, performing simulations for tracers having different mean lifetimes yields a valuable piece of information in order to understand the observed plume evolution. An effective mean lifetime can be estimated by comparing the observed behaviour of the CHOCHO and HCHO with FLEXPART simulations of different assumed tracer lifetimes.
In FLEXPART, the effective mean lifetime τ of an emitted tracer is treated as exponential decay with a given half-life (t 0.5 ); τ can then be calculated according to τ = t 0.5 / ln(2). As part of this study, FLEXPART simulations were carried out with half-life times of 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20 h, corresponding to effective mean lifetimes of ∼ 2.9, 5. 8, 8.7, 11.5, 14.4, 17.3, 20.2, 23.1, 26.0, and 28.9 h, respectively. As emission rates from wildfires are highly uncertain, the emission fluxes from the Canadian wildfires are assumed to be proportional to fire radiative power (FRP; see below for more details). The emissions, prescribed in the model, are taken from the Global Fire Assimilation System (GFAS) daily FRP and plume height data (Rémy et al., 2017). Simulations were performed on a daily basis for the period 6 to 23 August 2018. For each day, all fires from the GFAS data, which had an FRP of more than 3 W cm −2 , were gridded to a 0.350 • horizontal pattern. The model was then run forward in time for 120 h, releasing the tracer for the first 24 h (the full UTC day) from each of the 0.350 • grid cells, assuming no temporal variation throughout the day. Vertically, the emissions within the grid cells were evenly distributed over the range of mean altitude of maximum injection heights given by the GFAS data for the respective grid cell. The output of the simulation contains gridded mass concentrations for each time step. Here, a grid with a horizontal resolution of 0.03125 • was chosen to match the resolution of the gridded satellite observations. Hourly output from the simulation was recorded and then vertically integrated to yield simulated tracer columns. In a post-processing step, for one specific mean lifetime, all simulation results (i.e. simulations for all fires on all days) were aggregated into one dataset. While the absolute tracer column density from the model output cannot be simply compared to the measurements, a comparison of the plume patterns and relative distribution between satellite observation and model output gives an indication about the meaningfulness of the prescribed mean lifetime. At this point, the aggregated model output for one effective mean lifetime consists of hourly latitude-longitude grids of vertical tracer columns throughout the whole study period. For comparison to the satellite observations, the hourly time slice closest to the time of overpass at 53 • N was chosen.

Results and discussion
During August 2018, a high-temperature anomaly led to the outbreak of many fires in the Canadian western province of British Columbia, resulting in the emission of large quantities of particles and trace gases that in turn affected air quality in the region. As shown in Fig. 3a and b, the monthly average of CHOCHO and HCHO vertical columns from S5P show strongly enhanced values over the fire region, suggesting that these fires were a large, direct, and/or indirect source of CHOCHO and HCHO. Surprisingly, the CHOCHO and HCHO enhancements are not limited to the main fire re-gion but extend over large parts of Canada, where only a few fires were observed. In order to investigate the sources of CHOCHO and HCHO and their distributions, 24 h assimilation data of fire radiative power from the Global Fire Assimilation System (Kaiser et al., 2012) are analysed. Briefly, FRP is a measure of outgoing radiant heat from fires, measured in units of watt per square centimetre (W cm −2 ) and retrieved from space by the MODerate resolution Imaging Spectroradiometer (MODIS) on board of the Terra and Aqua satellites (Justice et al., 2002). The assimilated FRP spatially aggregates all valid fire and non-fire observations from both MODIS instruments onto a horizontal resolution of 0.1 • × 0.1 • and computes the total FRP sums for each grid bin (Justice et al., 2002). The FRP is also used as input in the FLEXPART simulation as described in Sect. 2.5 as a proxy for emission strength. Figure 3c shows a monthly-average FRP map over North America for August 2018.
The highest CHOCHO VCD values are found over the locations of the most intense fires, as intuitively expected. The HCHO distribution over the fire regions is similar to that of CHOCHO but with some differences in the relative distribution. In addition, enhanced CHOCHO and HCHO columns are also apparent over the south-eastern US, where large isoprene emissions occur. CHOCHO and HCHO are also detected in plumes crossing central and eastern Canada, where no fires are identified in the FRP map. This pattern is best explained by the transport of CHOCHO and HCHO emanating from the wildfires. However, CHOCHO and HCHO have been reported to have short atmospheric lifetimes of about ∼ 2.2 and ∼ 4.0 h during daytime, respectively (Atkinson, 2000;Volkamer et al., 2005a). Assuming that the lifetime in the plume is similar to that observed at the ground, we expect that CHOCHO would be removed reasonably close to the fire sources. HCHO would be transported further, but we also expect that it would be transported no more than approximately twice as far as CHOCHO. Earlier studies by Wittrock et al. (2006) and Vrekoussis et al. (2009Vrekoussis et al. ( , 2010 showed that CHOCHO is also observed over oceanic regions, where no CHOCHO source is expected. The potential of (a) a long-range transport of CHOCHO and/or of CHOCHO precursors from continental areas and (b) having an unknown oceanic CHOCHO source were discussed as a possible explanation in part of these observations, but no firm conclusions could be drawn so far. In the present study, with the support of the simulations using FLEXPART, evidence of long-range transport of CHOCHO and HCHO or its precursors from biomass burning emissions is investigated. In this context, the transport of CHOCHO and HCHO during two fire plume episodes form different periods (7-10 and 20-21 August 2018) are discussed below.

CHOCHO and HCHO emissions from the British
Columbia wildfires: 7-10 and 20-21 August 2018 Figure 4a shows daily maps of CHOCHO and HCHO VCDs over Canada for the period 7 to 10 August 2018. The most intense wildfires are found on 7 August 2018 and remain detectable until 10 August 2018. Both CHOCHO and HCHO plumes are detected on the first day of the fire. The CHO-CHO and HCHO distributions then change from day to day. However, a large plume is clearly visible on 10 August 2018. Enhanced CHOCHO and HCHO columns are found at a distance of up to ∼ 1500 km from the fires, indicating transport over long distances. To investigate possible transport pathways, forward simulations of the atmospheric transport with FLEXPART were calculated for the period when CHOCHO and HCHO plumes are observed (see Fig. 4b), assuming an effective lifetime of 14.4 h. The latter is significantly longer than lifetimes of CHOCHO and HCHO found in the literature. On the other hand, the simulated pattern of air masses follows the same distinctive path as CHOCHO and HCHO VCDs. The tracer simulated with FLEXPART spreads over the same area as CHOCHO, providing evidence for the transport of CHOCHO and HCHO and their precursors over continental Canada. This is more evident for the second period of interest in this study, which extends from 20 to 21 August 2018 (see Fig. 7). While the spatial match of plume and model is good in this example, it is clear from the figure that an effective lifetime of 14.4 h does not describe fully the extent of CHOCHO and HCHO transported. Using shorter effective lifetimes for CHOCHO and HCHO, taken form the literature, would not reproduce the observations. However, both lifetimes depend on conditions in the plume: on the diurnal photolysis and OH diurnal cycles as well as on wet/dry deposition processes and other oxidants. Consequently, comparisons of FLEXPART simulations with different effective lifetimes were performed for 2 selected days, as is shown in Sect. 3.2. Figure 5 shows the results of FLEXPART simulations assuming effective lifetimes for a surrogate chemical species of ∼ 2.9, 14.4, 23.1, and 28.9 h for 10 and 20 August 2018. From this figure, it is clear that only for the simulations having effective lifetimes of 23.1 h or more, a significant fraction of the tracer emitted is present at the end of the plume as observed in the measurements. This is also illustrated in Fig. 6, depicting CHOCHO and HCHO maps for 10 August 2018. On top of these maps, contour lines are shown for the simulated air masses assuming effective lifetimes of ∼ 2.9, 14.4, and 28.9 h. It is evident that in both cases the tracer distributions simulated with longer effective lifetimes better describe the observed distribution of CHOCHO and HCHO. Figure 7a, b, and c present a second comparison of daily maps of CHOCHO and HCHO VCDs with a FLEXPART tracer having an effective lifetime of 28.9 h for 20 and 21 August 2018. It is evident that, again, the tracer follows the distribution of CHOCHO and HCHO observations, similar to the first period studied (see Fig. 4). However, on 20 and 21 August 2018, the CHOCHO and HCHO plumes spread over the ocean, where no sources are expected, and up to the point at which the plume disperses after being transported over a distance of about ∼ 600 km from the fires.

Effective lifetimes of CHOCHO and HCHO in the plume
The observed behaviour of the CHOCHO and HCHO plumes is in contrast to the short atmospheric lifetimes resulting from their rapid removal by photolysis and reaction with OH. In addition, CHOCHO oligomerizes and thus is a source of SOA formation (Schweitzer et al., 1998;Jang et al., 2002;Liggio et al., 2005;Kroll et al., 2005;Loeffler et al., 2006;Volkamer et al., 2007;Fu et al., 2007;Myriokefalitakis et al., 2008;Stavrakou et al., 2009a, c). The simplest explanation of the observations of CHOCHO and HCHO is that, during the fire events, both species are transported and/or produced during transport over long distances, resulting in an effective lifetime of about 28.9 h. This would imply the transport of VOC precursors of CHOCHO and HCHO. One reason for the longer-range transport of the CHOCHO and HCHO plumes is the injection of the biomass burning emissions into the free troposphere, where high wind speeds favour transport over long distances. This is a well-known effect that has also been observed for NO 2 in GOME-2 data (Zien et al., 2014). However, even at high wind speeds, the short lifetime of these species would result in much smaller, dispersed plumes than the ones observed. There are three possible explanations for this apparent contradiction: -Reason 1 is that the lifetimes of CHOCHO and HCHO could be significantly longer than expected in these biomass burning plumes if the OH mixing ratio and UV and visible radiation within the plume is much lower than outside the plume. There is, however, no indication that this should be the case; on the contrary, OH levels in the biomass burning plume are expected to be enhanced (Folkins et al., 1997), leading to a reduction of the expected CHOCHO and HCHO lifetimes. In this context, it is interesting to investigate the NO 2 VCD observed. The NO 2 plumes coming from the biomass burning are shown in Fig. 8d. During daytime, NO 2 is removed in the gas phase by reaction with OH. Provided sufficient O 3 is present, the photolysis of NO 2 produces NO and O which react respectively with O 3 to make NO 2 and oxygen molecules to make O 3 . This is known as a "null cycle". NO 2 appears to decay relatively rapidly in the plumes coming from the fires. Our assumption that oxidation and photolysis of CHOCHO and HCHO are relatively rapid is thus not contradicted by the NO 2 decay in the fire plumes.
-Reason 2 is that there could be an efficient recycling process between the gas and aerosol phase, resulting in the observed extended effective lifetimes of CHO-CHO and HCHO. However, this reason is considered unlikely, because there is not yet any strong evidence of HCHO being a precursor of SOA formation, and, as the shape of the plumes for both trace gases is similar, a similar mechanism is expected for both. Also, evidence for the release of CHOCHO following the formation of oligomers in the aerosol phase is limited (Kroll et al., 2005, and references therein).
-Reason 3 is that the plume could contain CHOCHO and HCHO precursors, i.e. VOCs, which are slowly oxidized, releasing CHOCHO and HCHO along the trajectory. If true, this would result in an apparent increase in lifetime. In order to better assess the CHOCHO and HCHO spatial distribution seen on 10 August 2018, two additional TROPOMI retrievals have been taken into account. These are column-averaged dry air mole fractions of CO, retrieved by the algorithm described in Schneising et al. (2019), and the NO 2 VCD retrieved using an algorithm similar to the one described for the GOME-2 instrument (Richter et al., 2011) and using AMF calculated following the same approach as the one described before for CHOCHO and HCHO (see Sect. 2.3). The CO plume shows a similar spatial pattern to those of CHOCHO and HCHO (see Fig. 8e). As CO is a relatively long-lived tracer of fire emissions, having a lifetime with respect to OH of months, this supports the fire origin of the plume. As noted above, NO 2 is removed by OH faster than CHOCHO and HCHO. The NO 2 VCD enhancements, in contrast to those of CHO-CHO and HCHO, are limited to the proximity of the fire hot spots (see Fig. 8d). This behaviour agrees with that assumed for a molecule with a short atmospheric lifetime. A true-colour image from the Visible Infrared Imaging Radiometer Suite (VIIRS) clearly shows the distribution of smoke and aerosols produced because of the emission from the fires being transported and transformed (Fig. 8f). The distribution of the aerosol appears qualitatively to be similar to the CHOCHO, HCHO, and CO distributions. We infer that the transported plumes are mixtures of CO, CHOCHO, HCHO, aerosol, and presumably other pollutants released by the fire. It is interesting to note that CHOCHO and CO follow mainly the main plume, while the HCHO distribution is more diffuse and shows enhanced values also over regions where a thinner aerosol plume is visible in the VIIRS image. This distribution may possibly originate from other unidentified fires or another unknown source, which is not included in our FLEXPART simulations.
As additional information, the ratio of CHOCHO to HCHO, R GF , is presented in Fig. 8c. Larger values of R GF are found close to the location of the wildfires as already reported in previous publications (Vrekoussis et al., 2010). This is an indication of enhanced primary emissions of CHOCHO relative to those of HCHO from fires. Lower R GF values are found closer to the end of the plume, implying a decreasing production of CHOCHO relative to that of HCHO during the transport of polluted air in the plume. Another potential explanation would be the mixing of air from different origins, having lower CHOCHO and/or higher HCHO concentrations, during the plume transport. This is, however, not confirmed by the observed CO behaviour, which shows a similar spatial distribution to CHOCHO and HCHO. The comparison of retrieved S5P columns and FLEX-PART tracer simulations discussed is based on a number of simplifications. The observational conditions of the biomass burning plumes are complex, and aerosol scattering and absorption impact on the sensitivity of the retrievals. While this is taken into account by using air mass factors for elevated plumes positioned at altitudes derived from CALIPSO ob- servations, there remains considerable uncertainty with respect to absolute values. Aerosol loading and optical properties will vary along the plume and thus will the retrieval sensitivities. This is not modelled explicitly in this study. However, the differences apparent between the spatial distributions of CHOCHO and NO 2 , which are retrieved in similar spectral regions, provide evidence for the fact that measurement sensitivity does not explain the differences in the observed VCD plume patterns. Another crucial simplification is the assumption of constant fire emissions and the proportionality of FRP and emission strength in the FLEXPART simulations. In reality, fire emissions will also depend on the type of biomass burned, the age of the fire, the time of the day, and the environmental conditions, and this will have an effect on the trace-gas distribution along the plume, which reflects both chemical transformation and the history of emissions. Modelling of this time evolution is complex, if possible at all, and out of the scope of this study. However, the observation that both CHOCHO and HCHO are present in the biomass burning plume after extended time periods and over long distances is robust and is best explained by the release of CHOCHO and HCHO from the transformation of longer-lived precursors and/or efficient recycling processes in the plume as discussed above.

Summary and conclusions
The retrieval of CHOCHO and HCHO VCDs from measurements of TROPOMI on board the Sentinel-5 Precursor satellite is reported. This will extend the datasets already available from the SCIAMACHY, GOME-2, and OMI instruments. The advantage of the high spatial resolution and low noise of TROPOMI for studying specific geophysical phenomena is well demonstrated in the features and plumes seen in the CHOCHO, HCHO, CO, and NO 2 VCDs.
In this case study, the satellite data show clear evidence for pyrogenic emissions of CHOCHO and HCHO during the wildfire season in summer 2018 in British Columbia, Canada. The spatial and temporal pattern of the highest retrieved CHOCHO and HCHO VCDs are associated with areas having high fire radiative power, as identified in the MODIS fire data products. This indicates that, in these areas, pyrogenic emissions are the dominant source of CHOCHO and HCHO. In addition to local enhancements of NO 2 , CHO-CHO, and HCHO, close to the fires, extended plumes of el-L. M. A. Alvarado et al.: Unexpected long-range transport of glyoxal and formaldehyde evated CHOCHO and HCHO VCD are observed downwind from the fires. This is in contrast to the behaviour of NO 2 , which is also transported but is short lived. The spatial and temporal CHOCHO and HCHO distribution observed from satellite follows a similar pattern to that of CO, which is long lived, and that simulated by FLEXPART, initialized by tracer emissions starting at known fire locations. Enhanced CHO-CHO and HCHO concentrations were found in the S5P data up to 1500 km from their sources.
In order to obtain reasonable agreement between the model results and the measurements, an effective tracer lifetime of more than 20 h and up to 28.9 h needs to be assumed in the FLEXPART simulations. This is significantly longer than the anticipated lifetimes of CHOCHO and HCHO. The transport of CHOCHO and HCHO along the length of the plume could be associated with these trace gases being lifted from the boundary layer into the free troposphere, where high wind speeds lead to rapid transport. The long apparent lifetime of CHOCHO and HCHO in the transported plumes could be explained by a real increase in their lifetime in the plume because of photochemical conditions in the plume, which we consider unexpected. Based on our current knowledge, the most probable explanation of the apparent long lifetime of CHOCHO and HCHO would be formation within the plume caused by the oxidation of a mixture of longerlived emitted VOC precursors (e.g. methanol, ethanol, acetylene, aromatics, glycolaldehyde, ethylene, etc.), that form CHOCHO and HCHO at different rates. Further research is needed to investigate how frequent such fire-related longrange transport events of VOCs are. The chemical mechanism of the formation of CHOCHO and HCHO in the plumes downwind of the fires needs to be identified. The assessment of the number of such fires events and their relevance for tropospheric O 3 and aerosol production downwind of the fires, as well as air quality, is required.  Alvarado, lalvarado@iup.physik.uni-bremen.de).
Author contributions. LMAA, AR, and JPB prepared the article with the contribution of all authors, and they developed the glyoxal, formaldehyde, and NO 2 retrievals for TROPOMI measurements. MV, AH, and ABKH designed and performed the FLEXPART simulations of the air masses assuming different effective lifetimes. OS developed the CO retrieval and provided the CO data for the comparison with glyoxal and formaldehyde products.
Competing interests. The authors declare that they have no conflict of interest.
Special issue statement. This article is part of the special issue "TROPOMI on Sentinel-5 Precursor: first year in operation (AMT/ACPT inter-journal SI)". It is not associated with a conference.
Acknowledgements. This study was funded by the University of Bremen. Copernicus Sentinel-5P lv1 data from 2018 were used in this study. This publication contains modified COPERNICUS Sentinel data (2018). We thank the Copernicus Atmosphere Monitoring Service (CAMS) GFAS team for providing the GFASv1.0 FRP and injection height products. FLEXPART simulations were conducted on the University of Bremen's high-performance computing cluster Aether, funded by DFG within the scope of the Excellence Initiative. VIIRS and CALIPSO data were obtained from the NASA Langley Research Center Atmospheric Science Data Center. FLEX-PART simulation results were generated using Copernicus Climate Change Service Information (ERA5). This is, in part, preparatory work for the analysis of the data from the DFG SPP HALO EMeRGe project, which has one focus on biomass burning and the long-range transport of such plumes. We thank Abram Sanders (European Organisation for the Exploitation of Meteorological Satellites, Darmstadt) for providing support in the preparation of CALIPSO data for the computation of CHOCHO and HCHO AMFs.
Financial support. The article processing charges for this openaccess publication were covered by the University of Bremen.
Review statement. This paper was edited by Robert McLaren and reviewed by two anonymous referees.