Comparisons of spectral aerosol single scattering albedo in Seoul , South Korea

Quantifying aerosol absorption at ultraviolet (UV) wavelengths is important for monitoring air pollution and aerosol amounts using current (e.g., Aura/OMI) and future (e.g., TROPOMI, TEMPO, GEMS, and Sentinel-4) satellite measurements. Measurements of column average atmospheric aerosol single scattering albedo (SSA) are performed on the 20 ground by the NASA AERONET in the visible (VIS) and near-infrared (NIR) wavelengths and in the UV-VIS-NIR by the SKYNET networks. Previous comparison studies have focused on VIS and NIR wavelengths due to the lack of co-incident measurements of aerosol and gaseous absorption properties in the UV. This study compares the SKYNET-retrieved SSA in the UV with the SSA derived from a combination of AERONET, MFRSR, and Pandora (AMP) retrievals in Seoul, South Korea in spring and summer of 2016. The results show that the spectrally invariant surface albedo assumed in the SKYNET 25 SSA retrievals leads to underestimated SSA compared to AMP values at near UV wavelengths. Re-processed SKYNET inversions using spectrally varying surface albedo, consistent with the AERONET retrieval improves agreement with AMP SSA. The combined AMP inversions allow for separating aerosol and gaseous (NO2 and O3) absorption and provides aerosol retrievals from the shortest UVB (305 nm) through VIS to NIR wavelengths (870 nm). 30


Introduction
Aerosols affect both the surface and outgoing radiation affecting Earth's radiative balance.To quantify the radiative effects of aerosols, the aerosol optical depth (AOD) and single scattering albedo (SSA) are monitored using ground-based, orbital and sub-orbital platforms.The potential climate effects of absorbing aerosols have received considerable attention lately (Myhre et al., 2013).In addition to climate effects, aerosol absorption effects on surface ultraviolet (UV) irradiance and photolysis rates have important implications for tropospheric photochemistry, human health, and agricultural productivity (Dickerson et al., 1997;Krotkov et al., 1998;He and Carmichael, 1999;Castro et al., 2001;Mok et al., 2016).Measurements of column atmospheric aerosol absorp-tion and its spectral dependence in the UV remains one of the most difficult tasks in atmospheric radiation measurements due to the lack of co-incident measurements of aerosol and gaseous absorption properties in the UV.
The enhanced column UV absorption (lower SSA at wavelengths shorter than 440 nm) is commonly attributed to organic aerosols (OA) that absorb predominantly in the UV, explaining much stronger wavelength dependence than a purely black carbon (BC) absorption would suggest (Kirchstetter et al., 2004).Martins et al. (2009) showed that the absorption efficiency of urban aerosol is considerably larger in the UV than in the VIS wavelengths and is probably linked to the absorption by OA.This enhanced UV absorption by OA results in a doubling of absorption efficiency compared to BC alone and can reduces surface UV fluxes by up to 50 % in highly polluted areas.Similarly, the enhancement of aerosol absorption at UV wavelengths was observed in urban cities such as Rome, Italy (Ialongo et al., 2010) and Athens, Greece (Kazadzis et al., 2016), especially in winter.Mok et al. (2016) first measured enhanced UV absorption with the strong spectral dependence attributed to light absorbing component of organic carbon (OC) known as "brown carbon" (BrC) for aged Amazonian biomass burning smoke.Although urban aerosols have different chemical and physical composition, they also exhibit enhanced UV absorption with significant impact on tropospheric photochemistry and biologically active surface UV irradiance (Krotkov et al., 1998;2005b;Li et al., 2000;Ciren and Li, 2003;Bergstrom et al., 2007Bergstrom et al., , 2010;;Arola et al., 2009;Mok et al., 2016).
Recently, the need for measurements of column atmospheric aerosol absorption in the UV wavelengths are highlighted in the global aerosol and chemistry transport model (CTM) simulations.Current CTMs treat all OC from biomass burning as purely scattering, which underestimates the heating effect of the total carbon (BC+OC) -the primary absorbing component of carbonaceous aerosols (Cooke et al., 1999;Chung and Seinfeld, 2002;Bond et al., 2013;Myhre et al., 2013).However, recent laboratory studies (Kirchstetter et al., 2004;Yang et al., 2009;Chakrabarty et al., 2010;Chen and Bond, 2010;Lack et al., 2012;Saleh et al., 2013Saleh et al., , 2014;;Zhong and Jang, 2014) suggest that BrC is capable of enhancing total absorption efficiency of OC, potentially altering the direct radiative forcing (DRF) from negative to positive (Bond, 2001;Kirchstetter et al., 2004;Feng et al., 2013;Saleh et al., 2014).Recently, Hammer et al. (2016) showed that carbonaceous aerosol absorption over most biomass burning regions is underestimated if OC is regarded as purely scattering in a global 3-D CTM GEOS-Chem, while a better agreement is obtained with satellite observations from the Ozone Monitoring Instrument (OMI) on board NASA's Aura satellite after implementing the BrC absorption parameterization.
SKYNET is a ground-based international remote sensing network dedicated for aerosol-cloud-radiation interaction research (Nakajima et al., 1996(Nakajima et al., , 2007)).Using the direct sun and diffuse sky radiance aerosol column average optical properties (e.g., AOD, SSA, refractive index, and volume particle size distribution (PSD)) are retrieved every 10 min using standard processing software SKYRAD.pack(Nakajima et al., 1983(Nakajima et al., , 1996)).The ability for UV (340 and 380 nm) channels mounted on the PREDE POM-02 sky radiometer used by SKYNET is investigated in this study.Recent comparison studies focused on VIS and NIR wavelengths (Che et al., 2008;Estellés et al., 2012;Khatri et al., 2016) due to the lack of co-incident measurements of aerosol and gaseous absorption properties in the UV.Using SKYNET measurements in Hefei, China, Wang et al. (2014) reported smaller SSA at 380 nm during the autumn and winter (0.91-0.93) than that in spring and summer (0.95-0.97).They explained lower SSA by combined BC / BrC absorption in smoke from the local farm land-clearing burning in autumn and from local heating in winter.Their study showed that SSA seasonal variability is smaller than ∼ 0.05.Thus, evaluation and reduction of the uncertainty in the SKYNET SSA retrieval, particularly at UV wavelengths, is important for aerosol speciation and radiative forcing studies.
This study compares the SKYNET SSA retrievals in extended UV-NIR wavelengths with the SSA derived from a combination of AERONET (Dubovik et al., 2002), MFRSR (Krotkov et al., 2005a, b), and Pandora (Herman et al., 2009) inversions (hereafter referred to as AMP) in Seoul, South Korea during and after KORUS-AQ international field campaign in 2016 (Holben et al., 2018).This study provides first comparisons of the SKYNET and MFRSR SSA retrievals in the UV wavelengths.It also facilitates future comparisons of independent satellite SSA retrievals in the UV from the OMI (Torres et al., 1998(Torres et al., , 2007(Torres et al., , 2013;;Jethva and Torres, 2011;Jethva et al., 2014).

Experimental site and instrumentation
The data used in this study include measurements from Hampton University's UV-and VIS-MFRSR shadowband radiometers (head number 582 and 579, respectively), a SKYNET sun-sky radiometer (Nakajima et al., 1996(Nakajima et al., , 2007) ) and an AERONET sun-sky radiometer (Holben et al., 1998) from April to August 2016 on the roof of the Science Hall, Yonsei University in Seoul, South Korea.Concurrently, an international air quality field study, called the Korea-US Air Quality (KORUS-AQ), was carried out over the South Korean peninsula from May to June 2016 (https:// espo.nasa.gov/home/korus-aq/content/KORUS-AQ,last access: 14 April 2018).Seoul has high levels of urban pollution, since it is a metropolitan region with a population of 25 million, including significant transportation and industrial emissions sources.Seoul is also located downwind of regions that include heavy aerosol pollution sources: primarily fossil fuel combustion from industrial and urban areas in Inchon, South Korea and East China, plus biomass burning aerosols from wildfires and crop fires locally and remotely in North Korea, China, Russia, as well as airborne dust from the Taklimakan and Gobi deserts.
To measure aerosol column optical properties from these sources, the modified UV-and VIS-MFRSR instruments were installed on the roof of the Science Hall, Yonsei University in Seoul, South Korea.The Yankee Environmental Systems (YES) UV-and VIS-MFRSR sensors were modified at the US Department of Agriculture (USDA) UV-B Monitoring and Research Program (UVMRP) at the Natural Resource Ecology Laboratory, Colorado State University, to facilitate their operation in conjunction with AERONET Cimel sun-photometers.The manufacturer supplied 300, 317, and 368 nm UV-MFRSR filters were replaced with 440, 340, 380 nm filters, respectively, used by AERONET.In addition, a 440 nm filter was added to an unfiltered pyranometer slot of the VIS-MFRSR sensor.Domes were also added to both instruments to prevent Teflon diffuser contamination (Krotkov et al., 2009).These UV and VIS-MFRSR instruments are part of the USDA UV-B monitoring and Research Program (UVMRP: http://uvb.nrel.colostate.edu/UVB/index.jsf,last access: 14 April 2018).All MFRSR instruments in the UVMRP network are regularly characterized for their spectral, angular and radiometric responses at the NOAA Central UV Calibration Facility (CUCF: https://www.esrl.noaa.gov/gmd/grad/calfacil/cucfhome.html, last access: 14 April 2018) in Boulder, Colorado, U.S. The combined set of modified UV-and VIS-MFRSR instruments measures direct solar and diffuse sky irradiances at 13 narrow spectral bands with central wavelengths from the UV to the NIR: 305,311,325,332,340,380,415,440,500,615,673,870, and 940 nm.The 440 nm filter common to both MFRSR sensors and to the CIMEL photometer provides spectral overlap between the inversion procedures applied to the three sensors using the procedure described by Krotkov et al. (2005a, b) and discussed here in detail.Furthermore, Yonsei University has been operating a CIMEL sun-photometer as part of the AERONET network, as well as a new Pandora spectrometer instrument to measure trace gases (ozone, NO 2 , SO 2 , and HCHO) (Herman et al., 2009).These co-located instruments facilitate the AERONET-to-MFRSR calibration transfer and help in comparing aerosol absorption products such as the imaginary part of the refractive index (k), single scattering albedo (SSA), and absorption aerosol optical depth (AAOD).A summary of the instruments can be found in Table 1.
3 Data and methodology

MFRSR on-site calibration
Improving the MFRSR observational protocol and daily onsite calibration are critical for accurate measurements of aerosol column absorption.The MFRSR on-site calibration is determined by daily comparisons with the AERONET sunphotometers, since AERONET measured AOD is highly accurate at ∼ 0.01 to 0.02 with the higher values in the UV (Eck et al., 1999).
We apply corrections for dark current offset, angular response, and instrumental tilt to produce corrected voltages derived from raw voltages measured by MFRSRs.The angular response correction was performed by using the spectral and cosine response measured at NOAA Central UV Calibration Facility (Krotkov et al., 2005a).To compensate for possible leveling errors, the tilt correction was applied in conjunction with the cosine correction (Alexandrov et al., 2007;Mok, 2017).
We use an estimate of the calibration constant for each individual 1 min MFRSR measurement at each wavelength (i.e., extraterrestrial voltage, V 0 (λ, t)) calculated using Eq. ( 1) to normalize measured direct and diffuse voltages (same calibration in shadowing technique) and as a quality assurance tool to retain only the best quality measurements consistent with the AERONET AOD measurements.
Outlier measurements with ln(V 0 (λ, t)) exceeding 2 standard deviations from the daily average V 0 (λ) are iteratively removed and the daily average V 0 (λ) is re-calculated iteratively as described in Krotkov et al. (2005a).Any lowfrequency diurnal V 0 (λ, t) variability indicates possible systematic errors (e.g., not perfect leveling, non-complete shadowing, and/or electronics problems).To reduce systematic errors and outliers, time periods are selected when V 0 does not vary with time (Krotkov et al., 2005a) and only those MFRSR measurements meeting these quality assurance criteria are retained for inversions.

MFRSR inversion technique
Currently ground measurements of column effective refractive index and single scattering albedo (SSA) are limited to the 4 discrete VIS and NIR wavelength bands by AERONET almucantar inversions (440, 675, 870, and 1020 nm).An AERONET CIMEL sun-photometer has 340 and 380 channels, but does not provide SSA inversions.However, sky radiance measurements are currently made by many instruments at 380 nm so that the SSA at 380 nm will be a future data product.To extend SSA retrievals into UV and other wavelengths (Table 1), our method combines synchronous co-located measurements by AERONET, MFRSR, and Pandora ensuring consistent retrievals of AOD, particle size distribution (PSD), real part of the refractive index (n), and gaseous absorption (e.g., by ozone and NO 2 ).We also use consistent spectral surface albedos (monthly climatological values) derived from MODIS satellite surface albedo data (Moody et al., 2005;Eck et al., 2008).MFRSR-measured Diffuse/Direct (DD) irradiance ratios are fitted with a forward radiative transfer model coupled with a Mie scattering code (Arizona code, Herman et al., 1975) to estimate only one forward model parameter: column effective imaginary part of refractive index (k) independently for each MFRSR spectral channel (Krotkov et al., 2005b).
The procedure of the combined AMP retrievals is summarized as a flowchart (Fig. 1).Required ancillary input parameters such as PSD, n, surface pressure, and surface albedo are taken from co-located near simultaneous AERONET inversions (Dubovik et al., 2002).Gaseous absorption of column ozone and NO 2 are accounted for using ground-based directsun retrievals by Pandora spectrometers (Herman et al., 2009;Tzortziou et al., 2012) or satellite data from Aura/OMI overpass when Pandora data are not available.AOD is obtained either from MFRSR inferred direct (total-diffuse) irradiances (corrected for laboratory measured angular response) or AERONET direct sun measurements.In this study, we only used gaseous corrected AERONET AOD for consistency.Then, the Mie-RT model is iterated to find the k value, which minimizes the difference between calculated and measured the DD irradiance ratio.The fitted k value together with AERONET inferred PSD and n at 440 nm is converted to SSA using Mie calculations assuming spherical particles (Krotkov et al., 2005b).As shown in Fig. 2, the Ångström exponent (AE) observations from AERONET are mostly higher than unity, which is typical for predominantly fine mode pollution aerosols.
We estimate retrieval errors of k ( k) and SSA ( ω) using combined Mie-RT code to calculate the finite difference normalized Jacobians (J ): Using Eq. ( 7), the error of SSA ( ω) is calculated as shown by the vertical bar in Fig. 3b and c.Assuming constant 3 % accuracy in the measured DD ratio ( DD) (Eqs.3-4), the  calculated SSA retrieval error ω is inversely proportional to AOD, but is typically less than 0.02 for AOD at 440 nm, AOD 440 ≥ 0.2.

Sky radiometer (SKYNET)
In analyzing SKYNET sky radiometer measurements conducted here, we use the Sky Radiometer analysis package from the Center for Environmental Remote Sensing (SR-CEReS) version 1.As the main program, SKYRAD.packversion 5 (Hashimoto et al., 2012) is implemented to retrieve aerosol properties in SR-CEReS along with all pre-and postprocessing programs for the purpose of the near-real time data delivery.Two kinds of calibration approaches were considered for the present study.The first approach is to use the so-called static calibration constants.We derived the static calibration constants through comparison with the reference sky radiometer, which was calibrated at the Mauna Loa Observatory (MLO) in December 2015, and through the direct calibration at the MLO in October and November 2016.The second approach is to use the dynamic on-site calibration method, based on the Improved Langley method (Campanelli et al., 2007;Khatri et al., 2016).Since the first method is not able to account for the possible temperature variations on a monthly time scale during very hot summer for instance, the latter calibration method was selected in this study to estimate the daily calibration constant (< F 0 >).To account for the temporal variations of < F 0 > by ±1-3 % caused by temperature variations, the following method was used in this study.
Assuming the field of view (FOV) of the SKYNET instrument is known by the solar disk scan method (Nakajima et al., 1996;Uchiyama et al., 2018), F 0 was calculated for each measurement, where aerosol parameters were retrieved utilizing ratios of aureole radiance to direct radiance (Tanaka et , 1986;Nakajima et al., 1996): where F , m, τ , and R are the measured intensity, the air mass, total (Rayleigh + aerosol + ozone) optical depth, and the Sun-Earth distance, respectively, and all are given quantities.
However, uncertainties arise because (1) τ has uncertainty in the absorption component and (2) m has uncertainty due to the refraction at high SZAs (corresponding to high m values).To estimate < F 0 >, we use a statistical approach as follows: (1) a two-month period (±30 days of the target day) is used to calculate measurement statistics, (2) only clear sky F 0 values obtained within the lowest 1/3 of all mτ values are used, and (3) only F 0 values within their 3 standard deviations are used.Regarding the threshold of 1/3, we tested other thresholds and found that the choice is not critical.This threshold was likely best to keep a sufficient number of data points to determine < F 0 > at small mτ values.Then, the average of those data is regarded as the final < F 0 > value for the target day.This statistical approach is taken during pre-processing and is different from previous studies.While daily < F 0 > values for entire UV-VIS-NIR channels have not been given in previous studies, reanalysis of their observation data by this approach is preferable to confirm consistency.For cloud screening, this study uses the method of Khatri and Takamura (2009) without including global irradiance data from a pyranometer.

Comparison of single scattering albedo between AERONET and MFRSRs
First, the individual 1 min SSA retrieved at 440 nm (SSA 440 ) by the UV-and VIS-MFRSR instruments are compared to demonstrate the high degree of consistency for a combined set of modified UV-and VIS-MFRSR instruments (Fig. 3a).
The correlation coefficient between UV-MFRSR and VIS-MFRSR retrieved SSA 440 is 0.98, the estimated standard deviation of MFRSR SSA 440 uncertainty (standard MFRSR uncertainty, Fioletov et al., 2016) is ∼ 0.007, and the mean SSA 440 difference (bias) is less than 0.002.Next, SSA 440 from AERONET level 1.5 inversions are compared with the ∼ 32 min average SSA 440 retrievals from either the UV-MFRSR (Fig. 3b) or VIS-MFRSR (Fig. 3c).For the time averaging interval we use ±16 min based on the AERONET inversion time.Both instruments provide the best quality SSA retrievals at high turbidity conditions (AOD 440 ≥ 0.4) (Dubovik et al., 2002;Krotkov et al., 2005b;Mok et al., 2016).For these conditions, the average SSA 440 from either UV-MFRSR or VIS-MFRSR (∼ 0.92) is less by about 0.01 from the corresponding AERONET average SSA 440 (∼ 0.93).Relaxing the AERONET level 2 inversion AOD 440 ≥ 0.4 criterion (Holben et al., 2006) allows for analyzing a larger statistical sample of the MFRSR-AERONET matchups (Fig. 3).However, the mean SSA 440 values using relaxed AOD filter (AOD 440 ≥ 0.2, shown as blue and red dots) are reduced by ∼ 0.02 compared to the restricted sam-ple using AERONET level 2 criteria (AOD 440 ≥ 0.4, shown as red dots).The SSA variability (standard deviation) using the relaxed filter is insignificantly increased (less than 0.01) compared to using the restricted filter.The increased variability reflects cases with smaller AOD, showing stronger absorption (SSA ∼ 0.9).The root mean square deviation (RMSD) is higher for lower AOD cases (∼ 0.030-0.034for 0.2 ≤ AOD 440 < 0.4) than for higher AOD cases (∼ 0.022 for AOD 440 ≥ 0.4) (Table 2) as shown in previous studies (Dubovik et al., 2002;Estellés et al., 2012).The good agreement in SSA at the common overlapping wavelength 440 nm from UV-MFRSR, VIS-MFRSR, and AERONET level 1.5 provide additional justification to using the MFRSR and AERONET level 1.5 inversions with AOD 440 ≥ 0.2.Thus, we utilize the combined AMP SSA retrievals for AOD 440 ≥ 0.2 to compare with the SKYNET SSA retrievals.
Compared to the low scatter in SSA 440 differences between UV-MFRSR and VIS-MFRSR (Fig. 3a), Fig. 3b and  c show larger scatter between either UV-MFRSR (Fig. 3b) or VIS-MFRSR (Fig. 3c) and AERONET SSA 440 .We explain this by several possible reasons.The two MFRSR instruments measure the total sky hemispherical irradiance affected by even small cloud fraction, whereas AERONET has the ability to filter out scattered cumulus from the symmetry check done on directional sky radiances in the almucantar scan.Therefore, it is possible that some MFRSR SSA retrievals are more affected by the presence of scattered clouds than the AERONET retrievals.Another potential source of scatter between AERONET and MFRSR SSA 440 retrievals could be gaseous absorption by NO 2 that is not completely accounted for in the AERONET Version 2 retrievals.Next, coarse mode fraction, which varies approximately from ∼ 5 to 50 % in South Korea for these paired measurements (Fig. 2), primarily by the mixture of dust and urban aerosols, could affect the MFRSR retrievals which as- Table 3. Statistical differences between AMP and SKYNET retrieved SSA with spectrally invariant surface albedo = 0.01 (in parenthesis) and spectrally varying surface albedo (Fig. 6).Statistics, such as root mean square deviation (RMSD), mean difference (MBD), standard deviation (SD), and 95 percentile (U95) of the differences are computed for AOD 440 ≥ 0.4 consistent with the quality assured level 2 AERONET inversion data.sume spherical particles, while dust is complex in shape.Additionally, coarse mode size particles scatter much more strongly in the forward direction than fine mode particles, thereby resulting in additional variable uncertainty in the solar aureole corrections made to account for the sky fraction blocked by the shading band in the MFRSR instrument (di Sarra et al., 2015).The aureole correction is less important to the AERONET measurements because of the small FOV ∼ 1.2 • (Sinyuk et al., 2012) than to the shadowing measurements from MFRSR (Krotkov et al., 2005a).The empirical MFRSR aureole correction (Harrison et al., 1994) tends to underestimate the aureole contribution to the diffuse irradiance for coarse aerosol particles and cirrus clouds (Min et al., 2004;Yin et al., 2015).The aureole under-correction causes systematic underestimation of the diffuse irradiance and retrieved SSA by the MFRSR.Quantitatively, the bias varies for different locations: e.g., from +0.004 at the Santa Cruz, Bolivia (Mok et al., 2016) to −0.005 in Greenbelt, Maryland with fine mode dominated aerosols (Krotkov et al., 2009).We estimate that aureole SSA bias should be less than ∼ 0.01 at Seoul. Figure 4a and b compare AERONET and MFRSR SSA at longer NIR wavelengths: 675 and 870 nm (SSA 675 and SSA 870 ), respectively.Note that the average AOD at 675 and 870 nm (0.34 and 0.24, respectively) are lower than the AOD 440 ∼ 0.6, as the average Ångström exponent (440-870 nm) is 1.30 (Fig. 2).The lower AOD at 675 and 870 nm is the main reason for the larger SSA retrieval noise (RMSD = 0.025 and 0.026 for AOD 440 ≥ 0.4).However, the discrepancies between mean AERONET SSA and mean MFRSR SSA at 675 and 870 nm are less than 0.02 regardless of whether the relaxed or strict filter is adopted.The MFRSR calculated SSA uncertainties are less than ∼ 0.03, which is typical AERONET SSA retrieval uncertainty.Such agreement allows us to compare the AMP SSA with the SKYNET SSA as discussed below.

Comparison of single scattering albedo between AMP and SKYNET
Previous comparison studies of retrieved aerosol optical properties between AERONET and SKYNET (Che et al., 2008;Estellés et al., 2012) show typically good agreement for AOD.However, Khatri et al. (2016) found that the SKYNET SSA was overestimated compared to AERONET SSA inversions at VIS and NIR wavelengths mainly due to systematic difference in absolute calibration of sky radiances.Differently from previous studies, we found that average SKYNET SSA is in good agreement with average AMP SSA at VIS and NIR ranges (Fig. 5 and Table 3).This is at least partly because we used the improved quality checks for the solar disk scan data used to determine the FOV.In addition, we used daily < F 0 > values for all UV-VIS-NIR channels, which have not been done in previous studies (See details in Sect.3.3).None of previous studies (Che et al., 2008;Hashimoto et al., 2012;Khatri et al., 2016) performed the intercomparison of SKYNET SSA in the UV wavelengths.This study is the first to compare SKYNET SSA retrievals at UV to NIR wavelengths using co-located near simultaneous (±16 min) AMP retrievals in Seoul in 2016.Figure 5 shows SSA comparison results between AMP and SKYNET in extended wavelength range from 340 to 870 nm.Correlation between the two SSA retrievals is moderately high, decreasing at 675 and 870 nm due to higher uncertainty in the SSA retrievals at lower AOD.The SSA scatter could result from small AOD differences, which are independently measured in SKYNET and AMP retrievals.Nevertheless, the mean absolute SSA differences are less than 0.02, within uncertainties in the SSA retrievals.We found that, on average, the SKYNET SSA at UV wavelengths is lower compared to the AMP SSA (Fig. 5).The likely source of the bias could be the spectrally invariant surface albedo (0.1, Fig. 6) assumed in SKYNET SSA retrievals.This incorrect assumption leads to the underestimated SSA values in UV, even if AOD retrievals are accurate (Hashimoto et al., 2012).

Surface albedo
Surface albedo has an important impact on the retrievals of SSA in the UV region (Corr et al., 2009).The AMP inversions use the AERONET-provided spectral surface albedos at 440, 670, and 870 nm derived from MODIS surface BRDF/albedo product (Moody et al., 2008).The shortest wavelength at which surface albedo is available is 440 nm.Therefore, we assumed that the surface albedo at 440 nm applies to MFRSR retrievals in all UV wavelengths.
Figure 6 compares surface albedo used in AMP inversions with that assumed in SKYNET inversions.There is little variability in MODIS-derived climatological surface albedo (Moody et al., 2008) assumed in AERONET inversions (±0.01) at 440 nm.The SKYNET retrievals compared here use the spectrally invariant surface albedo (0.1) at all wavelengths.The spectrally independent SKYNET-assumed surface albedo 0.1 is close to the AERONET surface albedo at 675 nm (Fig. 6).However, it greatly deviates from the MODIS surface albedo at 440 and 870 nm (∼ 0.04 and ∼ 0.2, respectively used by AERONET and AMP retrievals).The overestimated value of surface albedo in the SKYNET inversions will lead to an underestimated value of SSA at near UV wavelengths: 340, 380, and 400 nm (Hashimoto et al., 2012).As seen in Fig. 5, this explains the lower SKYNET SSA compared to AMP retrievals.
Re-processing the SKYNET inversions using spectrally varying surface albedo (Fig. 6), consistent with the AERONET retrievals, improves agreement between the SKYNET SSA and the AMP SSA (Fig. 7 and Table 3).The updated surface albedo in the SKYNET inversions increases the SSA (by ∼ 0.01) at wavelengths from 340 to 500 nm.The mean SSA differences between AMP and reprocessed SKYNET are reduced to ∼ 0.013, 0.002, and 0.003 (for AOD 440 ≥ 0.4) at 340, 380, and 400 nm, respectively.The root mean squared differences are also reduced (RMSD < 0.02) at these wavelengths (Table 3).Thus, using consistent surface albedo reduces systematic biases between SKYNET, MFRSR (AMP) and AERONET retrievals, particularly at UV wavelengths.), and (f) 870 nm using SKYNET retrievals with spectrally varying surface albedo.AMP/AOD is AERONET/AOD used for inversions and/or interpolated to UV wavelengths and times.Dotted and dashed lines are 0.03 and 0.05 offset, respectively.The horizontal bars show constant reported uncertainties of the AERONET AOD at each wavelength (Eck et al., 1999;Sinyuk et al., 2012).The vertical bars show standard deviation of the SKYNET measured AODs within ±16 min time window (i.e., including natural variability).

AOD
The close agreement of AOD (i.e., better than 0.01) is a critical pre-condition for SSA comparison, since the overestimation in AOD leads to the underestimation in SSA and vice versa (Dubovik et al., 2000;Khatri et al., 2016).The discrepancy of AOD is typically attributed to problems in instrumental calibrations (Khatri et al., 2016).Figure 8 shows the only significant AOD differences between AMP and SKYNET are at a wavelength of 340 nm, where the mean bias difference (MBD) and RMSD were ∼ 0.030 and ∼ 0.044, respectively.The differences of mean AOD were less than ∼ 0.01 at all other wavelengths.We conclude that AOD differences were not significant in our SSA comparisons at wavelengths longer than 340 nm.

Atmospheric gas absorption
The AMP inversions account for effects of gaseous (ozone and NO 2 ) absorption in the UV and VIS wavelengths.However, the gaseous absorption (ozone and NO 2 ) is not taken into account in the sky radiances that are inverted in the AERONET Version 2 retrievals.In the SKYNET retrievals, only fixed column ozone (300 DU) is considered without the NO 2 absorption.In the upcoming AERONET Version 3 data base, the ozone and NO 2 absorption will be accounted for in sky radiances by using monthly climatological values from Aura/OMI satellite retrievals (Bhartia, 2005;Krotkov et al., 2017).There will still be an NO 2 related error, since NO 2 amounts from OMI are much smaller than the strongly timedependent NO 2 amounts from Pandora retrievals (Herman et al., 2009).Errors in the daily SSA retrievals will be in- troduced if one uses a fixed climatological value of column NO 2 (Corr et al., 2009) at UV and blue wavelengths.
As discussed in Sect.4.3.1, the agreement between the AMP and SKYNET SSA is improved by using consistent MODIS-derived surface albedo (0.04) in the SKYNET SSA retrievals at 340, 380, and 400 nm.Still, the SKYNETderived SSA (for AOD 440 ≥ 0.4) shows a slight underestimation compared to the AMP-derived SSA at these wavelengths.To investigate NO 2 gaseous absorption as possible cause, we modified our AMP SSA inversion assuming zero NO 2 absorption and found SSA decreased by ∼ 0.004-0.007at 340, 380, and 415 nm, closer to SKYNET retrievals.Thus, accounting for NO 2 absorption should further reduce the negative bias in SKYNET SSA retrievals.The NO 2 effect on SSA retrieval is largest for small AOD and could lead to incorrect interpretation of aerosol composition (Krotkov et al., 2005c).We also found that including SO 2 absorption (average SO 2 column amount in Seoul is < 1 Dobson Unit, 1 DU = 2.69 × 10 16 molecules cm −2 ) (Krotkov et al., 2016) results in negligible increases in SSA (∼ 0.003 at 305 nm and less at longer wavelengths).

SSA spectral dependence
As shown in Fig. 9, AMP and SKYNET SSA retrievals using the AERONET spectrally varying surface albedo are in good agreement at all wavelengths.The SSA typically decreases with wavelength in the VIS and NIR wavelengths, reaches flat maximum between 415-500 nm and decreases sharply in shorter UV wavelengths.This can be explained by the mixture of spectrally flat absorbing black carbon and selectively UV-absorbing aerosols (i.e., brown carbon, dust).The detailed investigation relating aerosol type and SSA spectral dependence will be discussed in future studies.Here we conclude that AMP and SKYNET retrievals are in good agreement, both allowing for measuring aerosol absorption and its spectral dependence.

Summary and conclusion
This study uses simultaneous measurements from co-located AERONET, MFRSR, and Pandora instruments to ensure accurate measurement of aerosol extinction optical depth, in order to provide consistent inversions of aerosol column absorption properties between UV and VIS wavelengths, and to partition absorption between aerosol and gases.Using this technique, we retrieved the column spectral SSA in the UV, VIS, and NIR wavelength and performed the SSA comparisons between AERONET and MFRSR retrievals.The SSA comparisons between AERONET and MFRSR are in good agreement, showing the mean SSA difference is less than 0.01 at common wavelength 440 nm for both conditions of AOD 440 ≥ 0.4 and AOD 440 ≥ 0.2.The latter condition, called the relaxed filter, increases the number of AERONET-MFRSR matchup by a factor of ∼ 1.5 and is used for comparisons with SKYNET.As a result, our approach can provide SSA at wavelengths AERONET cannot provide and can be compared with the SKYNET SSA.
The new finding is the underestimation of the SKYNET SSA in the UV, which has not been previously discussed.The underestimation could be explained, in part, by the use of the unrealistically high surface albedo (0.1).The UV surface albedo should not be larger than the MODIS derived values at 470 nm (∼ 0.04), used in AERONET SSA retrievals at 440 nm.The value 0.04 is similar to the land surface values derived from the Total Ozone Mapping Spectrometer, TOMS (Herman and Celarier, 1997).Following this recommendation, updating the surface albedo in the SKYNET inversions to the average AERONET value of ∼ 0.04 significantly reduces average differences in SSA (∼ 0.01) in the near UV.Future studies relevant to SKYNET SSA inversions might determine the optimal surface albedo from the MODIS climatology (Moody et al., 2008) and/or combined with BRDF models (Wang et al., 2018) if no other co-located instrument is available.
The relatively poor correlations between AMP and SKYNET SSA at 675 and 870 nm compared to shorter wavelengths should reflect, at least partly, the fact that AODs at 675 and 870 nm were much lower than AODs at other shorter wavelengths.The second issue is smaller Rayleigh scattering, which greatly reduces diffuse sky irradiance and causes larger noise in diffuse to direct ratio.Future studies using more observations with higher AODs are needed to better quantify SSA at 675 and 870 nm.
This study demonstrates the consistency of the column aerosol spectral absorption derived from the AMP and SKYNET inversions in the extended wavelength region.Specifically in UV wavelengths this study presents the first comparison of the column average SSA measured by independent ground-based techniques.It is found that SKYNET provides more reliable SSA at UV wavelengths (340 and 380 nm) on the condition that the spectrally varying surface albedo and NO 2 absorption are taken into account.Considering the results of this study, the SSA measurements presented here are more essential to answer how the UV light absorbing aerosols affect air quality, surface UV radiation, and tropospheric oxidation capacity, which remains highly uncertain.In addition, retrieved aerosol absorption in the UV contributes to improving the classification algorithm of the columnar aerosol types (Kim et al., 2007;Choi et al., 2016;Mok et al., 2016) and validating satellite SSA retrievals from the current (Aura OMI (Jethva and Torres, 2011) and SNPP OMPS) and future satellite atmospheric composition missions (TROPOMI, TEMPO, GEMS, and Sentinel-4).
Data availability.AMP and SKYNET data are available in the Supplement.AERONET data must be requested from the AERONET web site (https://aeronet.gsfc.nasa.gov,GSFC NASA, 2018).
Competing interests.The authors declare that they have no conflict of interest.Special issue statement.This article is part of the special issue "SKYNET -the international network for aerosol, clouds, and solar radiation studies and their applications".It does not belong to a conference.

Figure 2 .
Figure 2. The Ångström exponent (AE) (440-870 nm) as a function of AOD at 675 nm.The prevailing values of AE greater than unity characterize the relative influence of fine mode particles during April to August in 2016.The average Ångström exponent (440-870 nm) is 1.3 and its standard deviation is 0.26.

Figure 3 .
Figure 3.Comparison between SSA at 440 nm retrieved from AERONET-only and AMP retrievals in Seoul: (a) all 1 min UV-MFRSR versus VIS-MFRSR retrievals, (b) AERONET inversions versus 32 min average UV-MFRSR retrievals, and (c) AERONET inversions versus 32 min average VIS-MFRSR retrievals.MFRSR SSA mean errors are shown assuming 3 % error in diffuse to direct ratio.The UV-and VIS-MFRSR SSA in (b) and (c) are averaged within ±16 min from the AERONET retrieval time.The dashed lines show SSA agreement within ±0.03, which is assumed SSA error.The dotted lines are ±0.05 of the 1 : 1 line.Red color shows comparisons for AOD 440 ≥ 0.4, consistent with the best quality level 2 AERONET inversions.Blue dots indicate retrievals for 0.2 ≤ AOD < 0.4.Combined SSA statistics for AOD ≥ 0.2 are shown in black.Standard deviation of SSA is indicated in parentheses.

Figure 5 .
Figure 5. Comparisons of AMP-retrieved with SKYNET-retrieved SSA (±16 min average) at (a) 340, (b) 380, (c) 415 (400 nm SKYNET), (d) 500, (e) 673 (675 nm SKYNET), and (f) 870 nm using spectrally flat surface albedo (0.1) at all wavelengths.Red dots are filtered using AOD 440 ≥ 0.4 to correspond the best quality level 2 AERONET data.The horizontal bars show estimated uncertainties of the AMP SSA mean values (i.e., excluding natural variability) within ±16 min time window.The vertical bars show one standard deviation of the SKYNET retrieved individual SSA values within ±16 min time window (i.e., including natural variability).

Figure 6 .
Figure 6.Surface albedo used for AMP (blue symbols) and SKYNET (red line) SSA inversions.The bottom and top edges of the boxes are located at the sample 25th and 75th percentiles; the whiskers extend to the minimal and maximal values within 1.5 interquartile range (IQR).The outliers are shown in circles.Constant surface albedo of 0.1 assumed for all wavelengths in SKYNET retrievals, is shown as red solid line.

Figure 7 .
Figure 7. Re-processed SKYNET SSA at (a) 340, (b) 380, (c) 415 (400 nm SKYNET), (d) 500, and (f) 870 nm using spectrally varying surface albedo, which corresponds the MODIS-derived surface albedo shown in Fig. 6.SKYNET SSA at 675 nm is the same with Fig. 5e.The horizontal bars show estimated uncertainties of the AMP SSA mean values (i.e., excluding natural variability) within ±16 min time window.The vertical bars show one standard deviation of the SKYNET retrieved individual SSA values within ±16 min time window (i.e., including natural variability).

Figure 9 .
Figure 9. Combined spectral SSA from AMP-retrievals (blue symbols) and SKYNET retrievals (orange symbols) using MODISderived surface albedo shown in Fig. 6.The bottom and top edges of the boxes are located at the sample 25th and 75th percentiles; the whiskers extend to the minimal and maximal values within 1.5 IQR.The outliers are shown in circles.The center horizontal lines are drawn at the median values.The whisker-boxes are computed using AOD 440 ≥ 0.4 criteria to correspond the best quality level 2 AERONET data.

Table 1 .
Instruments and wavelengths of retrieved absorption properties.

Table 2 .
Comparison of SSA at 440 nm between AERONET and AMP inversions via UV-MFRSR and VIS-MFRSR.