Top-down constraints on global sulfur dioxide (SO2) emissions are inferred through inverse modeling using SO2 column observations from two satellite instruments (SCIAMACHY and OMI). We first evaluated the SO2 column observations with surface SO2 measurements by applying local scaling factors from a global chemical transport model (GEOS-Chem) to SO2 columns retrieved from the satellite instruments. The resulting annual mean surface SO2 mixing ratios for 2006 exhibit a significant spatial correlation (r = 0.86, slope = 0.91 for SCIAMACHY and r = 0.80, slope = 0.79 for OMI) with coincident in situ measurements from monitoring networks throughout the United States and Canada. We evaluate the GEOS-Chem simulation of the SO2 lifetime with that inferred from in situ measurements to verify the applicability of GEOS-Chem for inversion of SO2 columns to emissions. The seasonal mean SO2 lifetime calculated with the GEOS-Chem model over the eastern United States is 13 h in summer and 48 h in winter, compared to lifetimes inferred from in situ measurements of 19 ± 7 h in summer and 58 ± 20 h in winter. We apply SO2 columns from SCIAMACHY and OMI to derive a top-down anthropogenic SO2 emission inventory over land by using the local GEOS-Chem relationship between SO2 columns and emissions. There is little seasonal variation in the top-down emissions (<15%) over most major industrial regions providing some confidence in the method. Our global estimate for annual land surface anthropogenic SO2 emissions (52.4 Tg S yr−1 from SCIAMACHY and 49.9 Tg S yr−1 from OMI) closely agrees with the bottom-up emissions (54.6 Tg S yr−1) in the GEOS-Chem model and exhibits consistency in global distributions with the bottom-up emissions (r = 0.78 for SCIAMACHY, and r = 0.77 for OMI). However, there are significant regional differences.
 Sulfur dioxide (SO2) emissions from anthropogenic and natural sources are oxidized quickly in the atmosphere, leading to aerosol formation and acid deposition. Sulfate aerosols have highly uncertain effects on climate [Intergovernmental Panel on Climate Change, 2007; U.S. Climate Change Science Program, 2009], are deleterious to human health [Katsouyanni et al., 1997], and degrade visibility [Leaderer et al., 1979]. Assessments of the implications of SO2 emissions usually are based on “bottom-up” inventories as estimated by using geographical and statistical data to extrapolate measurements of emission factors, typically available only on a sparse spatial and temporal network and subject to uncertainty. Moreover, bottom-up SO2 emission inventories for a specific year quickly become outdated in a rapidly industrializing economy or through sulfur-reducing policy. Emissions monitoring is a fundamental component to a successful emissions reduction program [Schakenbach et al., 2006]. “Top-down” constraints on SO2 emissions through inverse modeling of satellite observations could provide valuable data to inform emission inventory development and evaluation.
 An important consideration is the quality of SO2 observations and their relationship with surface sources. SO2 retrievals have developed markedly over the last decade using spectroscopic data available from a new generation of satellite spectrometers such as the Global Ozone Monitoring Experiment (GOME) [e.g., Eisinger and Burrows, 1998; Khokhar et al., 2005; Thomas et al., 2005], Scanning Imaging Absorption Spectrometer for Atmospheric Chartography (SCIAMACHY) [e.g., Afe et al., 2004; Richter et al., 2006; Lee et al., 2008], Ozone Measurement Instrument (OMI) [e.g., Krotkov et al., 2006, 2008; Carn et al., 2007; Yang et al., 2007], and Atmospheric Infrared Sounder (AIRS) [e.g., Carn et al., 2005]. Satellite retrievals of SO2 columns have been evaluated with in situ SO2 profile measurements from aircraft [Krotkov et al., 2008; Lee et al., 2009] and column measurements from ground-based instruments [Spinei et al., 2010]. Aircraft data offer precise in situ measurements, but these campaign-based comparisons are limited by sparse spatial and temporal sampling and by the need to extrapolate below the lowest measurement altitude. Ground-based measurements of SO2 columns are sparse. In situ surface SO2 measurements from dense networks when coupled with observed altitude profiles can offer an excellent opportunity to evaluate satellite retrievals.
 The removal mechanisms of atmospheric SO2 dictate its impact on the environment. SO2 removed by dry deposition has a local acidifying action, but SO2 converted to sulfate has radiative and hydrological impacts. Measured deposition velocities for SO2 [Hicks, 2006; Myles et al., 2007] are generally 0.4 cm/s or slower giving a lifetime of about 3 days for a 1000 m deep planetary boundary layer. If the overall lifetime of SO2 is much shorter than this, then the bulk of SO2 is probably converted to sulfate with a longer lifetime and adverse impacts over a greater area. In situ measurements from the ground and aircraft offer a valuable data set to assess the SO2 lifetime.
 We develop here top-down SO2 emission estimates. Section 2 presents the SO2 column retrieved from the satellite instruments (SCIAMACHY and OMI). Section 3 describes the atmospheric chemistry model (GEOS-Chem) used in this work and evaluates the GEOS-Chem simulation of the SO2 lifetime. In section 4, we infer surface SO2 mixing ratios from SCIAMACHY and OMI and evaluate the retrieved SO2 columns with surface measurements. We estimate top-down SO2 emissions and compare them with the bottom-up emissions in the GEOS-Chem model in section 5.
2. Satellite Retrieval of SO2 Columns
2.1. Satellite Instruments (SCIAMACHY and OMI)
 The SCIAMACHY instrument, onboard ENVISAT, launched into a Sun-synchronous orbit in March 2002, provides the capability for solar observation of atmospheric SO2 columns through observation of global backscatter [Bovensmann et al., 1999]. SCIAMACHY observes the atmosphere in the nadir view with a typical surface spatial resolution of 30 km along track by 60 km across track, crossing the equator at 1000 local time (LT) in the descending node. Global coverage is achieved every 6 days.
 The OMI instrument onboard the Aura satellite is a nadir-viewing, imaging spectrometer that uses two-dimensional CCD detectors [Levelt et al., 2006]. OMI measurements of the solar radiation backscattered by the Earth's atmosphere and surface can be applied to retrieve atmospheric SO2 with a surface spatial resolution of up to 13 km by 24 km with global daily coverage. The Aura satellite was launched in July 2004 into a Sun-synchronous orbit with a local equator crossing time of 1330 LT in the ascending node.
2.2. SO2 Retrieval From SCIAMACHY and OMI
 Satellite retrieval of total SO2 columns from solar backscatter measurements used here involves three steps: (1) determining total SO2 line-of-sight (slant) columns by spectral retrieval [Richter et al., 2006; Krotkov et al., 2006, 2008; Lee et al., 2008], (2) removing the latitude-dependent offsets by using data from remote regions where the atmospheric contribution is small [Lee et al., 2009], and (3) applying an air mass factor (AMF) to convert slant columns into vertical columns [Lee et al., 2009].
 The SO2 slant column retrieval for SCIAMACHY is based on the algorithms (Differential Optical Absorption Spectroscopy) of Richter et al.  and Lee et al. . The wavelength range of 315–327 nm is used for the SO2 fit which includes the SO2 cross section (295 K) [Vandaele et al., 1994], two ozone cross sections (223 K and 243 K) [Bogumil et al., 2003], a synthetic Ring spectrum [Vountas et al., 1998], an undersampling correction, and the polarization dependence of the SCIAMACHY instrument. Daily solar irradiance measurements taken with the ASM diffuser are used as the reference spectra. We use here the data taken at SZA <70° and cloud radiance fraction <0.2.
 For OMI we use the publicly released Planetary Boundary Layer (PBL) OMI SO2 Level 2 product. The OMI SO2 slant column data are retrieved with the Band Residual Difference algorithm [Krotkov et al., 2006, 2008], based on the OMI TOMS-V8 algorithm [Bhartia and Wellemeyer, 2002]. SO2 slant columns are inferred from corrected differential residuals at three wavelength pairs with large differential SO2 cross sections in the OMI UV2 spectral region (P1 = 310.8–311.9; P2 = 311.9–313.2, and P3 = 313.2–314.4 nm) and differential SO2 cross sections at 275 K [Bogumil et al., 2003]. We use here the data with near-nadir viewing angles (cross track position from 20 to 40) at SZA <70° and cloud radiance fraction <0.2.
Lee et al.  removed the latitude-dependent offsets in SCIAMACHY and OMI SO2 slant columns by subtracting the columns taken over the Pacific from the total column on a daily time scale. Then the slant columns were converted to vertical columns with the coincident local AMF. The AMF calculation combined a radiative transfer model (LIDORT) [Spurr et al., 2001; Spurr, 2002] with spatially varying geophysical fields to account for atmospheric scattering and for absorption by O3. The vertical distribution of SO2 and aerosols for the local AMF calculation was locally determined with a global 3-D model of atmospheric chemistry GEOS-Chem (section 3.1). Here, we exclude SO2 columns affected by eruptive volcanoes in SCIAMACHY and OMI measurements by excluding slant columns greater than 5 Dobson Units (1.34 × 1017 SO2 molecules cm−2), which we empirically determined. Annual mean SO2 columns from SCIAMACHY and OMI for the year 2006 are shown in Figure 1. The largest values of more than 3 × 1016 molecules cm−2 are found over eastern China. Moderate enhancements of 1–2 × 1016 molecules cm−2 exist over the eastern United States and South Africa.
Lee et al.  estimated the total error in the retrieval of SO2 columns from SCIAMACHY and OMI. The retrieval error is dominated by the spectral fitting precision over remote regions. Over regions of enhanced SO2 columns (>1 × 1016 molecules cm−2) the AMF calculation becomes a more important contributor to the total error mostly due to uncertainty in clouds, SO2 vertical profiles, surface reflectivity, and aerosols. The one-sigma SO2 error from the AMF for individual, mostly clear (effective cloud fraction <0.2) observations over polluted regions is 20–40%, and likely contains a systematic component. Lee et al.  evaluated the retrieved SO2 columns with coincident airborne in situ measurements for campaigns over North America and the North Atlantic Ocean (r = 0.89, slope = 1.12 for SCIAMACHY and r = 0.92, slope = 0.95 for OMI) and east China (r = 0.9, slope = 1.0 for OMI).
3. Atmospheric Chemistry Model
 The estimation of SO2 emissions from satellite observation of SO2 columns requires independent information on the relationship of SO2 columns to SO2 emissions. A global 3-D model of tropospheric chemistry is the best source of this information considering the sparseness of in situ measurements and the large variability of SO2 vertical profiles. We use the GEOS-Chem chemical transport model [Bey et al., 2001] v8-01-04 (http://geos-chem.org) to obtain the SO2 vertical distribution.
Figure 1 shows the annual mean of simulated SO2 columns sampled coincidently (same day and time) with the SCIAMACHY and OMI observations. The coincident sampling used here reduces the effects of clouds and meteorology on the comparison of simulated and observed values. Noncoincident sampling would change the mean simulated values by <10% over most regions. Diurnal variation in the simulated SO2 column from morning (SCIAMACHY) to afternoon (OMI) typically is <5%. The global distribution of the GEOS-Chem SO2 columns is generally consistent with the observed columns from SCIAMACHY (r = 0.79, slope 1.59, offset = 1 × 1015 molecules cm−2) and OMI (r = 0.77, slope = 0.89, offset = 2 × 1015 molecules cm−2). However, there are notable differences over China.
3.2. Evaluation of SO2 Lifetime in GEOS-Chem
 The SO2 lifetime is a critical parameter in the inversion of SCIAMACHY and OMI SO2 columns for SO2 emissions. Here we evaluate the GEOS-Chem simulation of the SO2 lifetime by comparison with that inferred from in situ measurements.
Hains  analyzed SO2 vertical profiles measured from aircraft to calculate the in situ measurement-based lifetime. The aircraft campaigns [Taubman et al., 2006; Hains et al., 2008] were conducted from June to August 1995–2005 in the mid-Atlantic region (35.21°N –44.51°N, 68.41°W–81.61°W). Over 50% of the spirals were made in Maryland, Virginia and Pennsylvania. All flights were made during daytime (midmorning or midafternoon) on days when smog events were forecast. Flights were made between small regional airports. Spirals made over the airports from the surface to roughly 3 km above sea level were completed within 30 min. The SO2 instrument (TEI Model 43C) was zeroed at the bottom and top of each spiral. Flight patterns were generally chosen to capture transport of pollutants to locations downwind of urban locations, thus flights conducted in the morning (before noon EST) were typically upwind of urban areas in the mid-Atlantic, while flights conducted in the afternoon (after noon EST) were typically downwind of urban locations (mainly the Baltimore, Washington, and Philadelphia metropolitan areas).
 The measured SO2 profiles show little difference between the morning and afternoon. Both profiles show greater values near the surface that decrease with altitude, possibly resulting from oxidation by H2O2 in fair weather cumulus (common under summertime high-pressure systems and often encountered during these flights) as SO2 mixes vertically. Assuming that SO2 in the lower troposphere is destroyed on time scales fast relative to advection from the region (and then the rate of emissions into the atmosphere is equal to the rate of loss in the atmosphere), the calculated lifetime is 19 ± 7 h on average (at the 95% confidence level) [Hains, 2007].
 The mean SO2 lifetime from our GEOS-Chem simulation over the mid-Atlantic region for daytime (0900–1700) of June–August 2006 is 13 h, within the range inferred by Hains . The shorter lifetime in the model is consistent with previous indications that GEOS-Chem SO2 oxidation may be too rapid [Heald et al., 2004; van Donkelaar et al., 2008]. Sampling the model on days similar to the flight conditions (daily afternoon O3 > mean June–August afternoon O3) decreases the SO2 lifetime in GEOS-Chem by <3 h.
 Of interest for our work is the seasonal variation of the SO2 lifetime. For that purpose we use ground-based in situ measurements from the U.S. Environmental Protection Agency's Air Quality System (AQS). SO2 emissions for the eastern United States vary by less than 20% throughout the year [U.S. Environmental Protection Agency, 2009]. Thus the monthly variation in the SO2 lifetime is linearly proportional to the monthly SO2 mixing ratio CMon after correcting for monthly variation in the boundary layer height HMon, and assuming no seasonal change in the rate of mixing between the boundary layer and the free troposphere. We extend the in situ measurement-based SO2 lifetime τJJA of 19 h for July to August from Hains  to the rest of the year 2006 by using observed surface SO2 mixing ratios and boundary layer heights from the GEOS-4 assimilation. Assuming SO2 emissions are seasonally invariant, the in situ measurement-based SO2 lifetime τMon can be given by
where subscript “Mon” and “JJA” denote month and mean for June to August, respectively. C is obtained from in situ surface SO2 concentrations at 14 in situ measurement sites from the AQS network and a research site [Schwab et al., 2009] within the mid-Atlantic region (35.21°N–44.51°N, 68.41°W–81.61°W), and H is taken from GEOS meteorological fields over the same area.
 The black lines in Figure 2, top, show that the resulting lifetime values range from 15 h in summer to 65 h in winter. The red lines show the daytime SO2 lifetime over the same domain from the GEOS-Chem simulation as determined by gas-phase oxidation, dry deposition, and aqueous oxidation in clouds. The simulated and measurement-based lifetimes exhibit a high degree of consistency. The RMS difference is 2.2 h. The longer SO2 lifetime in winter reflects reduced oxidation by both aqueous (i.e., H2O2) and gas-phase (i.e., OH) processes.
Figure 2, bottom, shows the seasonal zonal mean lifetime of SO2 calculated using the GEOS-Chem model during the daytime of 0900–1700 LT for the rest of the world. The lifetime is within the range of previous results for the global averages of 0.6 – 2.6 days [e.g., Chin and Jacob, 1996; Restad et al., 1998; Berglen et al., 2004]. The lifetime at northern midlatitudes where anthropogenic emissions dominate is 16–40 h exhibiting clear seasonal variation with a maximum in winter (DJF) and a minimum in summer (JJA). Values for spring (MAM) are similar to fall (SON). The 24 h SO2 lifetime is within 10% of that shown here for daytime. Chin et al.  explain the longer SO2 lifetime in winter due to slower dry deposition velocities, and reduced supply of oxidants (H2O2 and OH) in winter. Alexander et al.  used isotopic measurements to infer a significant role for transition metal-catalyzed oxidation of atmospheric SO2; neglect of this mechanism here may contribute to an overestimate of the SO2 lifetime at high latitudes in winter.
4. Evaluation of SCIAMACHY and OMI SO2 With Surface Measurements
 Aircraft measurements reveal that SO2 within the boundary layer typically makes a dominant contribution to SO2 columns over land except in volcanic regions [Taubman et al., 2006; Hains et al., 2008; Lee et al., 2009]. GEOS-Chem simulations of annual mean SO2 columns and of surface SO2 concentrations exhibit significant spatial correlations over land (r = 0.95, n = 13,104) and over North America (r = 0.97, n = 325). Thus we infer surface SO2 mixing ratios from SCIAMACHY and OMI observations of SO2 columns for evaluation with ground-based in situ measurements over North America.
4.1. Ground-Based in Situ Measurement
 Hourly measurements of SO2 are obtained from the U. S. Environmental Protection Agency (EPA)'s Air Quality System (AQS) and Environment Canada's National Air Pollution Surveillance (NAPS) network. We average the hourly in situ measurements over a 2 h period (0900–1100 LT for SCIAMACHY and 1300–1500 LT for OMI) to correspond with respective satellite observation times over North America.
4.2. Surface SO2 Inferred From Satellite Observations
 We use the GEOS-Chem local SO2 profile to estimate surface-level SO2 mixing ratios from retrieved SO2 columns. Similar applications have been conducted for aerosol [Liu et al., 2004; van Donkelaar et al., 2006, 2010] and NO2 [Lamsal et al., 2008]. Local SO2 profiles coincident with the SCIAMACHY or OMI observations are taken from the GEOS-Chem simulation. A general equation to infer the surface SO2 mixing ratio SSat from the satellite-measured SO2 columns ΩSat is
where subscript “GC” denotes GEOS-Chem. The satellite derived surface SO2 represents the mixing ratio at the lowest vertical layer (100 m) of the model. Spatial variation in the satellite observations within 2° × 2.5° resolution of the GEOS-Chem simulation reflects spatial variation of SO2 mixing ratios in the boundary layer.
Lamsal et al.  developed a scheme to infer surface NO2 concentrations at the OMI measurement resolution, accounting for variation of the profiles within a GEOS-Chem grid. Here we apply it to infer surface SO2 mixing ratios at the satellite measurement resolution. Assuming that the simulated free tropospheric SO2 column ΩGF is horizontally invariant over a GEOS-Chem grid, reflecting the longer SO2 lifetime in the free troposphere, the corresponding surface SO2 mixing ratio SSat′ is given by
where ν represents the ratio of the local satellite SO2 column to the mean satellite field over the GEOS-Chem grid. Equation (3) equals equation (2) for a unity value of ν. SO2 mixing ratios calculated with equation (3) differ from those calculated with equation (2) by up to ± 20% in polluted areas.
 Annual mean surface SO2 mixing ratios inferred from SCIAMACHY and OMI over North America are shown in 1st and 3rd rows of Figure 3, regridded onto the GEOS-Chem grid of 2° by 2.5°. Both SCIAMACHY and OMI show enhanced SO2 over industrial regions of the eastern United States, and are highly correlated (r = 0.89) with each other. However, the SCIAMACHY-derived SO2 mixing ratios tend to be higher by 2.6 times (2.5 ppbv) than those from OMI over industrial regions of the eastern United States. Contributing factors include diurnal variation in mixed layer depth and chemistry, and errors in the SO2 column retrievals. The GEOS mixed layer depth sampled at OMI overpass is typically 25–30% higher than at SCIAMACHY overpass. Simulated SO2 sampled at SCIAMACHY overpasses over those regions is twice (1.5 ppbv) those at OMI overpasses, reflecting diurnal variation in both chemistry and mixed layer depth. Retrieval bias may contribute to the remaining differences between SCIAMACHY and OMI.
 The 2nd and 4th rows of Figure 3 show the annual mean surface SO2 mixing ratios inferred from the ground-based in situ measurements at AQS/NAPS network sites throughout the United States and Canada. Satellite measurements with pixel centers within 15 km of the measurement sites are used for the comparison. We exclude sites with <20 coincident measurements over the year. SO2 inferred from satellite observations is in relatively poor (r < 0.4) temporal agreement with in situ measurements for the year 2006, reflecting relatively high uncertainty in individual retrievals. However, Figure 3, bottom, indicates that the annual mean surface SO2 mixing ratios from SCIAMACHY and OMI are spatially well correlated with coincident in situ measurements (r = 0.86, slope = 0.93, n = 115 for SCIAMACHY and r = 0.81, slope = 0.79, n = 121 for OMI). The better correlation and slope for SCIAMACHY than OMI could reflect the use of longer wavelengths in the SCIAMACHY retrieval that are more sensitive to SO2 in the boundary layer. The mean bias (satellite/in situ) is 1.19 for SCIAMACHY and 0.79 for OMI. Simulated surface SO2 mixing ratios also exhibit consistency (r = 0.83, slope = 0.84 for SCIAMACHY sampling and r = 0.83, slope = 0.81 for OMI sampling) with the in situ measurements. The less than unity slope in both the modeled and retrieved values could reflect unresolved subgrid variability.
 Although our objective here is application of surface SO2 concentrations for evaluation of satellite observations, the satellite-derived surface SO2 concentrations could be of value for long-term estimates of air pollution. The spatial distribution of GEOS-Chem simulations of annual mean surface SO2 concentrations are well correlated with annual mean surface sulfate concentrations over North America (r = 0.90, n = 325) and over land globally (r = 0.86, n = 13104).
5. Seasonal Bottom-Up and Top-Down Emissions of SO2
 We go on to infer top-down emissions from the satellite SO2 columns through inverse modeling. We first evaluate the fraction of the SO2 column from anthropogenic activity to guide the emission analysis. Then we describe the approach to estimate the top-down emissions from SCIAMACHY and OMI observations of SO2 columns. The seasonal satellite-based top-down estimates are compared with the seasonal bottom-up emission inventories described in section 3.
5.1. Anthropogenic Fraction of SO2 Column
Figure 4, top, shows annual mean SO2 columns simulated with GEOS-Chem for the year 2006. The standard emission inventory in the GEOS-Chem model including volcanoes and DMS is used here as the bottom-up inventory (section 3). Most SO2 enhancements exist over and immediately downwind of industrial regions including the eastern United States, eastern China, and northern India. Figure 4, middle, shows a sensitivity simulation with anthropogenic emissions only. The fraction of SO2 columns from anthropogenic SO2 emissions is shown Figure 4, bottom. Anthropogenic activities contribute >60% of total SO2 columns over large regions of all continents. Exceptions are over regions with low SO2 columns such as the Sahara and Amazon. The anthropogenic SO2 fraction rarely exceeds 40% over the open ocean. We focus our anthropogenic emission analysis over land.
5.2. Top-Down Emissions From SCIAMACHY and OMI SO2 Columns
 We infer a top-down SO2 emission inventory ET from satellite SO2 columns ΩSat using the mass balance approach following Martin et al. [2003a],
where EB is the bottom-up emission inventory described in section 3 and ΩGC is the simulated SO2 column. The ratio of EB/ΩGC is an effective, first-order, SO2 rate constant that accounts for local SO2 chemistry and transport. ΩGC is sampled coincidently with Ωsat. The smearing length scale [Palmer et al., 2003] is of order 100 km comparable to the GEOS-Chem resolution used here. Therefore we neglect smearing in this initial analysis. Smearing is of most concern in winter when wind speeds are higher and the SO2 lifetime is longer. Annual mean SO2 columns simulated from the GEOS-Chem model exhibit significant spatial correlation with the bottom up SO2 emissions over land (r = 0.85, n = 13104), over North America (r = 0.88, n = 325), and over eastern China (r = 0.90, n = 154).
 We apply this method to land surface and coastal ship emissions only. Inferring SO2 from DMS oxidation and ship emissions over the open ocean would involve a more sophisticated inversion, such as an adjoint [e.g., Henze et al., 2007]. Land surface sources here include contributions from fossil fuels including coastal ships, biomass burning, biofuel burning, and continuously active volcanoes; it excludes contributions from ships in the open ocean, aircraft, or eruptive volcanoes. The mass balance approach is separately applied here to both SCIAMACHY and OMI. A better understanding of the differences between SCIAMACHY and OMI SO2 columns is needed before exploiting diurnal variation in the inversion.
Figure 5 presents the spatial and seasonal variation of top-down SO2 emissions derived from SCIAMACHY and OMI, and the bottom-up SO2 emissions in GEOS-Chem. Global annual anthropogenic SO2 emissions over land and coastal ocean are 52.4 Tg S yr−1 from SCIAMACHY, 49.9 Tg S yr−1 from OMI, and 54.6 Tg S yr−1 from the bottom-up inventories. In support of the mass balance approach used here, there is little evidence in winter of greater smearing which would appear as reduced SO2 emissions over sources, and enhanced SO2 emissions downwind. The bottom-up emissions inventory exhibits little seasonal variation over major industrial regions [e.g., Morris et al., 2007; Zhang et al., 2009]. The weak seasonal variation in the top-down emissions (<15%) from both SCIAMACHY and OMI over major industrial regions provide confidence in the top-down approach. An exception is the Noril'sk smelter in Siberia (62.33°N, 88.22°E) where top-down emissions have a large seasonal component. Possible explanations are errors in the seasonal variation of simulated SO2 oxidation, of retrieved SO2 columns, or in the mass balance approach due to neglect of smearing. The global distribution of both top-down emissions are generally consistent (r = 0.78 for SCIAMACHY and 0.77 for OMI) with the bottom-up emissions. Higher correlations exist for the United States (r = 0.96 for SCIAMACHY and r = 0.94 for OMI) and China (r = 0.90 for SCIAMACHY and r = 0.93 for OMI). However, there are some significant regional differences discussed in the following paragraphs.
Figure 6 evaluates the top-down inventories by intercomparing them. The top-down SO2 emissions inferred from SCIAMACHY measurements are highly correlated (r = 0.92) with those from OMI measurements. However, the SCIAMACHY emissions are 20% higher than those from OMI, and there are regional differences (e.g., over Australia) which cannot be reconciled with the different overpass times of SCIAMACHY and OMI and may indicate satellite retrieval biases.
Figure 7 shows the differences between the annual top-down and bottom-up emissions of SO2. Here we exclude winter observations (SZA > 50°) which have higher uncertainty, and focus on regions where both SCIAMACHY and OMI have consistent results. Both top-down emissions are 10% lower over the eastern United States, within the uncertainty in the inversion and in the retrievals. The top-down emissions in China are lower by 50% for SCIAMACHY and 30% for OMI, except for near Beijing where they are higher by 30%. The bias over Nigeria may reflect effects of volcanic emissions in 2006. Several regions, such as the Highveld Plateau of South Africa, Mexico City, and northern India, have local differences of a factor of 2 that warrant further investigation.
 We produced a global top-down inventory of SO2 emissions from satellite (SCIAMACHY and OMI) observations of SO2 columns, through inverse modeling with a global chemical transport model (GEOS-Chem).
 We first evaluated the GEOS-Chem simulation of the SO2 lifetime. The modeled SO2 lifetime of 13 h for summer 2006 over the eastern United States is within 6 h (and within the 95% confidence level) of the in situ measurement-based SO2 lifetime inferred from aircraft measurements for June to August, 1995–2005. We used the seasonal variation in the measured SO2 mixing ratio over the eastern United States to estimate the seasonal variation in the SO2 lifetime. The seasonal variation of the SO2 lifetime inferred over the eastern United States from in situ measurements and from the GEOS-Chem simulation both indicate the SO2 lifetime in winter is about three times as long as in summer. Thus the seasonal variation in SO2 columns at northern midlatitudes is primarily driven by seasonal variation in the SO2 loss rate, since SO2 emissions exhibit little seasonal variation.
 We evaluated the SO2 columns from the SCIAMACHY and OMI satellite instruments with surface SO2 measurements. The surface SO2 mixing ratios were derived from SCIAMACHY and OMI observations of SO2 columns by applying coincident GEOS-Chem SO2 profiles as a transfer function. The annual mean surface SO2 concentrations from SCIAMACHY and OMI for 2006 exhibit a significant spatial correlation (r = 0.86, slope = 0.91 for SCIAMACHY and r = 0.81, slope = 0.79 for OMI) with the coincident in situ measurements throughout the United States and Canada from the U.S. EPA Air Quality System (AQS) and Environment Canada's National Air Pollution Surveillance (NAPS) networks.
 Sensitivity simulations reveal anthropogenic SO2 emissions are dominant in the SO2 column over most land areas. We used SO2 columns from SCIAMACHY and OMI to derive seasonal top-down constraints for anthropogenic SO2 emissions over land through inversion using the GEOS-Chem model. Global annual anthropogenic SO2 emissions are 52.4 Tg S yr−1 from SCIAMACHY, 49.9 Tg S yr−1 from OMI, which are compared with the bottom-up emissions in the GEOS-Chem (54.6 Tg S yr−1).
 The global distribution of the annual top-down emissions is spatially consistent with the bottom-up emissions (r = 0.78 for SCIAMACHY and 0.77 for OMI). The lack of seasonal variation in the top-down emissions (<10%) from both SCIAMACHY and OMI over most industrial regions provides some confidence in the top-down inventory. For the continental United States whose emission inventories are considered well-determined, top-down emissions are highly consistent with bottom-up emissions (r = 0.96 for SCIAMACHY and r = 0.94 for OMI), with an overall bias of <20%. Top-down emissions for China which has higher SO2 emissions are also highly spatially correlated (r = 0.90 for SCIAMACHY and r = 0.93 for OMI) with bottom-up emissions, but they are lower by 50% for SCIAMACHY and 30% for OMI, except for near Beijing where they are higher by 30%.
 This study could benefit from future work in several areas. Differences between SCIAMACHY and OMI SO2 columns need to be reconciled. An a posteriori estimate that combines bottom-up and top-down emissions, weighted by their uncertainties, would better represent the true emission distribution. Inversion at higher spatial resolution should better account for spatial variance in the SO2 lifetime. A more sophisticated inversion could improve its accuracy, could better account for smearing, and could enable extension to open ocean. A better understanding of SO2 loss processes in winter is needed.
 We thank three anonymous reviewers for helpful comments. The publicly released Planetary Boundary Layer (PBL) OMI SO2 Level 2 VC products were obtained from GES Data and Information Service Center (http://disc.sci.gsfc.nasa.gov/). SO2 slant columns from SCIAMACHY were obtained from the Institute of Environmental Physics and Remote Sensing, University of Bremen, Germany (http://www.iup.uni-bremen.de/). This work was supported by Health Canada and by the National Aeronautics and Space Administration (NASA). Aircraft observations were supported by the Maryland Department of the Environment.