Changes in global air pollutant emissions during the COVID-19 pandemic: a dataset for atmospheric modeling

. In order to ﬁght the spread of the global COVID-19 pandemic, most of the world’s countries have taken control measures such as lockdowns during a few weeks to a few months. These lockdowns had signiﬁcant impacts on economic and personal activities in many countries. Several studies using satellite and surface observations have reported important changes in the spatial and temporal distributions of atmospheric pollutants and greenhouse gases. Global and regional chemistry-transport model studies are being performed in order to analyze the impact of these lockdowns on the distribution of


Introduction
The COVID-19 pandemic has triggered different measures in most of the world's countries to protect citizens from the spread of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The first measures, which included strict lockdowns, started in China at the end of January 2020. As the pandemic was spreading all over the world, lockdowns or other measures were gradually implemented in Asia, Europe, Oceania, North and South America, and Africa. The restrictions during the different lockdowns have resulted in significant changes in the emissions of greenhouse gases Liu et al., 2020;Han et al., 2021;Zheng et al., 2020) and reactive air pollutants (Forster et al., 2020;Venter et al., 2020). The impact of the reductions on the emissions of primary pollutants was assessed in different regions based on surface observations (e.g., Shi and Brasseur, 2020;Lee et al., 2020;Kim et al., 2021) and satellite retrievals (e.g., Bauwens et al., 2020;Zhang et al., 2020;Diamond et al., 2020;Biswal et al., 2021). Modeling studies have been initiated to investigate the changes in the global and regional distributions of tropospheric chemical compounds during the pandemic (Gaubert et al., 2021;Venter et al., 2020;Xing et al., 2020;Keller et al., 2021;Barré et al., 2021). These modeling studies are based on estimates of emissions for primary species and on consistent changes in the emissions during the COVID-19 lockdown periods.
Here we present a global gridded dataset of emission adjustment factors (AFs) at a 0.1 • × 0.1 • resolution and on a daily or monthly basis based on available activity data. Recent studies (Le Forster et al., 2020;Liu et al., 2020) have discussed the changes in emissions at the global scale for several chemical compounds. In this paper, we propose a dataset of AFs for the individual sectors related to transportation (including road, air and ship traffic), industry, residential activities and power generation. The advantage of such a dataset, which provides AFs for assessments of the impact of COVID-19 restrictions on pollutants emitted into the atmosphere, is that it can be applied directly to most global and regional inventories used in chemistry-climate and transport models in a flexible way. The inventories commonly used in these models (Emission Database for Global Atmospheric Research, EDGAR, Crippa et al., 2018; Evaluating the Climate and Air Quality Impacts of Short-Lived Pollutants, ECLIPSE, Klimont et al., 2017; Copernicus Atmosphere Monitoring Service, CAMS, Granier et al., 2019; Multi-resolution Emission Inventory for China, MEIC, Li et al., 2017;etc.) include the sectors already mentioned (industrial processes, road transportation, power generation, resi- dential, aviation and shipping). The emissions of these sectors are developed on the basis of a combination of several sub-sectors that are not provided separately in the emission inventories.
Section 2 describes the general methodology used in the development of the AFs. The following sub-sections analyze the sectoral activity data used to determine these factors. The availability of activity data depends strongly on the regions under consideration, and this might often lead to large uncertainties. We are therefore providing for each location and sector an estimated average, low and high values of the AFs. In Sect. 3, we present and discuss the sectoral changes in emission AFs over selected regions as a function of time.
This paper discusses the dataset developed for the January-August 2020 period: the dataset is called CON-FORM (COvid-19 adjustmeNt Factors fOR eMissions) and will be updated to account for the latest available activity data information. The impact of the AFs on the emissions developed as part of the CAMS global anthropogenic emissions (Granier et al., 2019;Elguindi et al., 2020) is discussed for the NMVOC (non-methane volatile organic compound), CO, NO x , BC (black carbon), OC and SO 2 species in Sect. 3.5.

Methodology
To quantify the amount of the corresponding global gridded daily and monthly changes, the adjustment factors (AFs) are determined following the general methodology schematized in Fig. 1. The four different steps taken in our study to estimate the AFs are the following: (1) a data survey is first carried out to collect activity data for the power gen-  Granier et al., 2019). The activity data used to estimate the emission AFs are available from numerous sources for different timescales, depending on the geographical area. It should be noted that, in several regions of the world, accurate and/or up-to-date data are not publicly available, which could lead to a significant source of uncertainty in estimating reduction rates. Table 1 indicates the availability of data for the different sectors. Some of these data are used to support our analysis and contribute to the estimation of uncertainties in the AFs; (2) the collected data are then analyzed, and an intercomparison of the changes in activity data of datasets providing similar or equivalent parameters is performed. The dataset that provides the most detailed information and which better meets our needs is then chosen. The non-gridded AFs are calculated for each country and state/province according to the availability of activity data, as detailed in the following sections; (3) the gridded daily and monthly NetCDF files developed for each sector are obtained by assigning to each cell the value of the AFs in the whole country or state/province level corresponding to this grid cell: this is based on the fact that the lockdowns and restrictions have been generally taken at national or state level. For several sectors (road transport, industry and residential) the AF at the country or state/province level represents an average value calculated from several individual cities or locations; and (4) finally, a comparison of the AFs derived from this study with other published data is performed, together with an evaluation of their impact on emissions, using the CAMS-GLOB-ANT_v4.2_R1.1 inventory as a basis. The dataset discussed in this paper covers the period from 1 January to 31 August 2020. It will be regularly updated to account for the latest available activity data information.
The AFs are calculated as the ratio between the activity data for a given sector and day or month and the median value of the activity data over the 5-week period starting on 1 January 2020. This corresponds to the baseline used in Google mobility trends. The median value is calculated from 1 January to 4 February for almost all regions, except for China, where the first lockdown started on 23 January 2020 in Hubei Province. The reference values for China's activity data are taken as the median daily value of the first 3 weeks (i.e., from 1 to 21 January 2020). The same baseline is used for all sectors, except for those for which only monthly activity data are available. For those sectors, we consider the value of January 2020 as the baseline. We have chosen the reference year as 2020 (pre-COVID-19) because detailed activity data such as mobility data are only publicly available for the year 2020.

Road transportation
Several studies related to the COVID-19 pandemic have used the Google COVID-19 Community Mobility data (https:// www.google.com/covid19/mobility/, last access: 12 August 2021) (Forster et al., 2020;Guevara et al., 2021). This dataset provides the number of visitors to specific locations based on mobile phone locations (e.g., parks, grocery and pharmacy stores, workplaces, retail and recreation, train stations, and residential) every day relative to a baseline value. This baseline is calculated as the median value over the 5-week period from 3 January to 6 February 2020. We use measurements up to 31 August 2020 for all countries for which data are available (about 133 countries). For the USA, the analysis was performed for each state. Google daily data are provided at country and state level and generally cover several local areas (i.e., subregion or city). For example, in the USA, Google spans the 50 states and the District of Columbia as well as several cities in each state. The AFs for the road transportation sector are derived from the estimation of transit usage (i.e., public transportation including train stations, buses and subways) made by Google. In order to make the calculated AFs comparable with those derived using the other data sources considered in this study, the AFs for Google's categories are scaled to 1 using the following formula: AF = 1 + Google / 100. In this way their values are less than 1 for a reduction in activity and above 1 otherwise.
It should be noted that Google mobility data are not available for all countries (e.g., China and for nearly twothirds of African countries). Other datasets are providing mobility trends, such as the Apple mobility trend reports (https://covid19.apple.com/mobility, last access: 12 August 2021) and the TomTom (https://www.tomtom.com/en_gb/ traffic-index/ranking/, last access: 12 August 2021) traffic congestion index. Apple measures the number of requests for directions scaled relative to 13 January 2020, while Tom-Tom provides the percentage of the differences in time spent on a trip compared to uncongested conditions. Google provides a better spatial coverage than the other two datasets. In Africa for example, Apple and TomTom data are available for 3 and 2 countries, respectively, while Google provides data for 26 African countries. In China, TomTom reports measurements only for some cities. Unlike Google and Apple, TomTom markets its data, which are therefore not openaccess. In order to evaluate the Google dataset, a regional comparison with Apple mobility data was performed (Supplement, Figs. S1-S2). First, we looked separately at one Apple category (driving measurements, generated by counting the number of requested directions in transit or public transport on Apple applications) and three Google categories (retail and pharmacy, workplaces, and grocery shopping destinations) according to three regions (Europe, USA and the rest of the world (ROW)). The comparisons of temporal series show that, in general, Apple driving displays much larger variations than the Google mobility changes (Fig. S1). How-ever, the patterns of the average values of the four categories show a significant decrease in Europe of up to 57 % for Apple driving and of 57 %, 65 % and 31 % for Google workplaces, retail and grocery, respectively. The corresponding values in the USA are 43 %, 16 %, 41 % and 40 %, respectively, while those in the ROW are 61 %, 31 %, 60 % and 48 %. A comparison between Google's monthly nonresidential (i.e., combining grocery, workplaces, transit and retail) and Apple driving data, which can be considered to be equivalent categories, displays high correlation coefficients varying from 0.79 to 0.97 depending on the region (Fig. S2). The data of these two categories agree relatively well, particularly during the first months of the COVID-19 pandemic (February to May), when lockdowns were strict in most regions. The largest discrepancies are observed from June to August, especially in Europe and the USA. These differences are likely due to the fact that the two datasets do not represent the same parameters: Apple bases their values on the volume of direction requests on phone applications, while Google uses mobile phone locations. These differences can be attributed to a combination of several factors including the spatial coverage, the mode and category of transportation considered, and the location of the measurements within the country or state/province. The calculation methods are also very different from one dataset to another.
Comparisons of the changes in the ground transportation sector for the different mobility datasets have been performed in recent studies (Forster et al., 2020;Le Quéré et al., 2020). The correlation coefficients between Google and Apple transit categories calculated in our study are in line with the value of 0.8 reported by Forster et al. (2020) for the February to June period. Liu et al. (2020) show trends from both Google and TomTom mobility datasets with the same order of magnitude during the first quarter of 2020. This analysis highlights the importance in the choice of the data to be considered in the estimation of changes based on activity data, especially for the more recent months as well as for the future, when the dataset will be extended. Based on this analysis, we have used the Google mobility data for estimating the AFs in regions where data are available.
In China, the AFs for road transportation were calculated based on the Baidu migration scale index (https:// qianxi.baidu.com/, last access: 12 August 2021; available for China only). These indices are aggregated from migration flows within China based on the positioning requests on Baidu Maps services. The index indicates the ratio between the number of people traveling in a city and the population of this city. The data are available only from 1 January to 2 May 2020 and cover about 343 Chinese cities in all provinces. Baidu officially stopped updating the dataset on its platform on 8 May 2020. We compared the changes in the Baidu migration scale index with the relative difference in TomTom congestion levels for the Beijing, Tianjin, Chongqing and Shanghai Chinese areas. TomTomarchived data are not freely available, but they can be re-trieved from published graphs (https://www.tomtom.com/ en_gb/traffic-index/ranking, last access: 12 August 2021) providing the weekly changes in 2020 relative to the same periods in 2019. The results show a strong similarity between changes given by these two datasets for the period covered by the Baidu dataset (January to April), with a correlation coefficient of 0.9 (Fig. S3). For the period from May to August 2020, Liu et al. (2020) showed that the difference in estimated CO 2 emissions from road transport between 2020 and 2019 is on average about 4 % for May-November, with larger values for some days. Based on these analyses and in order to cover the whole period of our study (January to August), we assume that changes in road traffic in China after May 2020 are relatively low and close to those before the spread of the COVID-19 virus. These comparisons show that the proposed method for calculating the AFs (i.e., ratio between the activity data and the median value of activity data over a defined reference period) is consistent with changes in 2020 relative to the same period in 2019.

Industrial processes
This sector includes industrial production processes such as manufactured products from fossil fuel combustion and represents a significant part of the emission sources of atmospheric pollutants. The 2020 data concerning industrial production are, however, not publicly available for many countries and regions. We used the crude steel production from the World Steel Association (Table 1), which is provided on a monthly basis, to estimate the rate of change in the industrial sector. Due to the difficulties to access the daily data in this source category, we assumed that changes in Google's workplace measures, which represent the percentage of people traveling to or from their workplaces, are representative of changes in industrial activities during the lockdowns. To verify our hypothesis, we compared the calculated monthly average AFs based on Google's workplace data for selected countries with those derived from crude steel productions (Fig. S4). The average change in the first 8 months of 2020 relative to the same periods in 2019 in crude steel production for the 24 countries shown in Fig. S4 is 17 %, while the corresponding value using Google's workplace measures is 27 %. This indicates a fair agreement between the two datasets. However, there are large differences in some countries between these data. For example, in Europe the greatest change in crude steel production is 24 % in comparison to 59 % estimated using Google's workplace category, indicating a high level of uncertainty in the AFs for the industry sector.

Power generation
The power sector emission AFs were estimated by compiling several sources such as the total electricity load from the ENTSO-E (European Network of Transmission System Operators for Electricity) transparent platform for the European T. Doumbia et al.: Changes in global air pollutant emissions during the COVID-19 pandemic Union and the United Kingdom; the regional electricity demand from the EIA (Energy Information Administration) for the United States; the daily reports of the electricity generation from fossil fuel including coal, lignite and gas, naphtha, and diesel provided by the POSOCO (Power System Operation Corporation) for India; the thermal electricity production from the ONS (Operator of the National Electricity System) for Brazil; and the daily power generation provided by the United Power System of Russia. We also used the local electricity demand data in Singapore. For Canada, we assumed that the data in Ontario are representative of power generation trends (Table 1). It should be noted that we did not apply any temperature correction to the electricity load. Liu et al. (2020) indicated that COVID-19 and related restrictions explain about 85 % of the reduction in the power sector from January to March, and only 15 % is attributed to the temperature effect. For the rest of the world where data on electricity demand or thermal production are not publicly available, we estimate the AFs based on the data published by Le .

Air transportation and shipping
We have used the monthly data on air transportation published by the Knowledge Center on Migration and Demography (KCMD) Dynamic Data Hub (Table 1). In addition to the observed passenger volumes from around the world, the KCMD provides air traffic scenarios covering the COVID-19 period. Five scenarios are provided (Iacus et al., 2020). We selected the scenario called EUROC-L (L-shaped version) based on the EUROCONTROL air traffic data, which provides global up-to-date monthly average air volumes. To assess the representativeness of the KCMD estimates, we compared the EUROC-L scenario data with the number of scheduled international flights from 14 countries in 2020 provided by the OAG (Official Aviation Guide) (https: //www.oag.com/coronavirus-airline-schedules-data, last access: 12 August 2021). The results indicated that, when considering the global average, trends from both datasets are relatively similar, with a significant decrease of up to 65 % for OAG and 80 % for KCDM in April, May and June compared to the reference value in January 2020. However, since July there has been a slow recovery towards the pre-lockdown values (Fig. S5, Supplement). EUROC-L seems to overestimate the changes during the period when restrictions were the most severe, especially in China, Japan and South Korea. In contrast, there is an underestimation of trends since July 2020 in most of the countries as shown in Fig. S5. A lockdown for the whole of China was declared on 10 February 2020, and the country had its air traffic heavily impacted on the following days. This disruption does not appear in the KCDM data. Based on this analysis, we conclude that the KCDM data can only be used to supplement the OAG data. It should be noted that KCDM data have the advantage of being available for over 230 countries and are regularly up-dated. Strohmeier et al. (2021) proposed another set of data on a daily basis, crowdsourced from air traffic control data using the OpenSky Network. When compared monthly, the Strohmeier et al. (2021) data show similar trends as the Official Aviation Guide (OAG) measurements that we used in conjunction with the KCDM data.
Detailed data on 2020 international and national shipping are not publicly available yet. In this study, the changes in shipping activity are determined based on the weekly container ship port calls during the 31 weeks of 2020 (covering the period from 1 January to 2 August) compared to the same period in 2019 and reported by the United Nations Conference on Trade and Development (UNCTAD) (https://unctad.org/news/ covid-19-shipping-data-hints-some-recovery-global-trade, last access: 12 August 2021). UNCTAD provides official statistics from marine traffic for different regions: North America (Canada, Mexico, United States), east coast of South America (Argentina, Brazil, Uruguay), northern Europe (Belgium, Germany, Netherlands), southern Europe (France, Italy, Spain), northern and western Africa (Egypt, Morocco, Nigeria, Togo), eastern and southern Africa (Kenya, Tanzania, South Africa), South Asia (Bangladesh, India, Pakistan, Sri Lanka), South East Asia (Indonesia, Malaysia, Singapore, Thailand), China, and Hong Kong. Weekly values are directly extracted from graphs, and monthly AFs are derived.

Residential sector
In this study, the AF calculations for the residential sector are performed using measurements from Google's residential category, which covers most of the countries in the world. Google's residential category represents the duration during which people are constrained to their home through lockdown. This duration represents the additional time that people spent in places of residence due to the restrictions. In the CAMS-GLOB-ANT inventory, the residential sector includes mainly emissions due to cooking, heating, and auxiliary engines that primarily use biomass or fossil fuels in households. The emissions from this sector vary according to the geographical zone due to the difference in lifestyles. We consider that, when people stay at home, the impact on heating use is moderate: heating systems generally continue to operate during working hours, at a lower intensity. The extra time spent at home contributes significantly to other domestic activities, namely cooking, heating water and activities using fossil fuels. Based on this analysis, we expect an increase in residential combustion during the lockdown period.
In China, due to the lack of data, we use residential emissions published by Le , which are based on electricity demand for the city of London for the first 4 months of 2020. For the rest of the study period, we assumed that there is no change in the AFs for the residential sector in China.

Adjustment factors for the transportation sector
This section focuses on the changes in the transportation sector, which include road transportation, air traffic and shipping.

Road transportation
The AFs related to road transportation provide significantly lower emission values when compared to typical values before the restrictions and present large regional variations. Figure 2 displays the averages AFs in Europe, USA, South America, China, Africa and the rest of the world since the beginning of 2020. The regional variations in AFs (lightpink color) are determined as the standard deviation of individual values for all the countries in the region or from local measurements in the country or state/province. We also calculated the minimum and maximum values within specific regions from all the values calculated for each of the countries in this region. An average daily reduction of up to 60 % in mid-April is shown in most regions of the world. In China and Europe, the reductions reached a maximum in mid-February and late March, respectively. In China, the lockdowns started on 23 January, and the period from 24 January to 2 February coincides with Chinese Spring Festival holidays, during which business activities were reduced. It has been reported that short-term emissions and atmosphericcomposition reductions associated with the Spring Festival in China were about 10 % (Lin et al., 2011;He et al., 2021;Sun et al., 2020;Zhang et al., 2020Zhang et al., , 2021. The 2020 reductions in emissions from road transport are significantly larger and peak during February 2020, with no rebound after the Chinese New Year holiday (e.g., Kraemer et al., 2020;Miyazaki et al., 2020). In the USA, where the variability is largest, the average decrease reached 40 % in mid-April. In Africa, the largest decrease occurred at the same period as in Europe and the USA but with values of about 50 %, while the average decrease was much larger in South America, reaching 70 %. These results are in agreement with the changes during the first quarter of 2020 reported by Le  and based on Apple, TomTom mobility trends and local traffic data for the USA provided by the MS2 (Modern Transportation Analytics) corporation. Based on the standard deviations calculated from the data for each region and the evaluation results, an uncertainty of ±10 to ±30 % is associated with the estimated AFs, depending on the region. Figure 2 also indicates that some regions recovered to the pre-COVID-19 situation more rapidly than others (e.g., the USA, the European countries and China), while most countries in South America, Africa and the rest of the world continue to be affected by lockdown measures at the end of the period discussed in this paper.

Air traffic and shipping
As discussed in Sect. 2, the changes in air traffic were calculated using the monthly scheduled global flights from OAG combined with the passenger volumes reported from the KCMD. Figure 3a displays the monthly air traffic AFs with an average value as low as 0.2 (a decline of 80 %) in most countries in the world. This large decrease spreads over several months from April to June, while the aviation activity started to rebound in July, but the activity remained below the pre-pandemic level.
As a consequence of the global lockdown measures, activities in shipping also declined. Due to the lack of up-todate data, we assume that changes in container ship port calls, published on the UNCTAD website, are representative of trends in shipping activities. The average global change as well as the associated standard deviation and upper-and lower-limit values is represented in Fig. 3b. The number of port calls by container ships globally decline from January to August to 7±6 % relative to 2019. However, changes vary across regions. For example, we found a monthly reduction in North America and Europe up to 18 % and 20 % in June, respectively. These reductions are from the lower-limit values of 20 %-30 % reported from the literature and based on forecast and published reports (Le Liu et al., 2020).

Adjustment factors for the industrial sector
Our estimates of AFs for the industry sector are derived from Google's workplace measures, except for China, for which factors are calculated based on CO 2 emissions published by Liu et al. (2020). Results show that the level of activity in the industrial sector over the 214 considered countries started, on average, falling down in mid-March, when most of these countries began to take restrictive measures. The average AF reaches a maximum decrease (up to 40 %) in April relative to the reference period (i.e., pre-COVID-19) before increasing until May. It remained relatively stable (approximately 20 % reduction) from the beginning of June to August. These levels of change are in line with those reported in Forster et al. (2020) for the first half of 2020. As Fig. 4 illustrates, the average AF displays rather similar patterns across the different regions considered, except in China. Based on Google data, industrial operations were subject to an important decrease in almost all regions, with a maximum daily average AF value close to 0.4 (60 % reduction) in the European and South American countries and in many other countries, especially in late March and early April. However, contrarily to the other countries, European countries show a second maximum daily average reduction (AF = 0.75 or 25 %) in mid-August, with a magnitude lower than the first peak. The impact of the lockdowns on the industrial activities is somewhat smaller in the USA, Africa and in the rest of the world, with a maximum reduction of about 30 %-40 % relative to the pre-COVID-19 pandemic values. In China, AFs fell in mid-February to their minimum average values of 0.60 (40 % decrease) but rapidly increased to a complete recovery at the beginning of March and exceeded the pre-pandemic level by an average of 25 % from April onward. The uncertainty range associated with the emission AFs for the industrial sector is evaluated to ±20 % to ±30 %, depending on the region. It is noteworthy that for almost all countries except China, the pre-pandemic level of industrial activity has not been reached, 8 months after the beginning of the first lockdown announcements.

Adjustment factors for the residential sector
Contrarily to other sectors, the AFs for the residential sector estimated from Google's mobility data show an increase of 20 % to 30 % at their maximum during the peaks of the lockdowns, depending on the region (Fig. 5). The average percentage increase is 30 % in South America, while the maximum average AF value in China is less than 1.10 (i.e., about 10 % increase). As for the other activity sectors, there is a variability of 10 % in all regions, as shown by the standard deviation. This increase in the adjustment factors is mostly due to the fact that, in most countries, schools were closed, and teleworking was widespread. As a result, most people in countries affected by strict lockdowns had to stay home most of the time. The impact of lockdowns on residential emissions is quite uncertain as all the data including fuel use in commercial and residential buildings necessary to quantify this impact are not yet available worldwide. Our study, based on Google's residential measures reflecting time spent by people at their home, leads to increased emissions from the residential sector. However, Liu et al. (2020) reported a global decrease of about −2 % during the first 7 months, with an uncertainty of about 40 % using fuel consumption data in residential buildings from 2019 that was scaled to 2020 based on the population-weighted heating degree days variation. In   this study, the estimated uncertainty range in the emission AFs for the residential sector reached ±20 %. Our global estimate is consistent with an average increase of around 5 % in activity data from the residential sector, mainly during the strict lockdown period, estimated in Le .

Adjustment factors for the power generation sector
The COVID-19 pandemic has implications on the share of energy use in industry, commercial and domestic operations. In order to quantify the impact of the lockdowns in this sector, we used the data of electricity demand. The global demand experienced a maximum average decrease of 20 % (AF = 0.8) between late March and early April, when the restrictions were most stringent in Europe, USA, Africa and many other countries (Fig. 6). From mid-June, there is an increase in the demand for electricity consumption in the USA, which reaches a maximum value of about 20 % at the end of July and beginning of August but seems to be fol-lowed by a slow decrease. This can possibly be explained by an important demand in the commercial and residential sectors. It should be noted that most African countries did not implement strict lockdowns: as discussed in Sect. 2, activity data are available mostly for northern African countries and for South Africa, which experienced severe restrictions. The maximum decline ranged from 20 % to 30 % in South American countries and in China. As for the other sectors, the peak of the reduction factor for energy in China and South American countries happened at the end of February and early April, respectively. Our results are in line with the average reduction of 20 % or more of electricity demand in mid-March in several countries, as reported in the 2020 International Energy Agency (IEA) energy review report (IEA, 2020). We estimated an uncertainty of ±15 % for the power sector, in agreement with the average values of the standard deviations calculated over all regions.  (Table 1). The standard deviation values (light pink) result from the AFs for the individual countries or states/provinces. The light-blue color indicates the range of the minimum and maximum values.

Impact on surface emissions
The estimations of emission AFs for six economic activity sectors (road transportation, industry, power generation, residential, shipping and aviation) discussed in the previous sections are provided by the CONFORM dataset on a daily basis -except for aviation and shipping, which are calculated on a monthly basis -for the period from January to August 2020 at a 0.1 • × 0.1 • grid resolution. This dataset was also used in the Gaubert et al. (2021) paper, which examined changes in secondary atmospheric pollutants during the 2020 COVID-19 pandemic using the Community Atmosphere Model (CAM-Chem) at the global scale. More evaluations of the CONFORM dataset have been performed in analyses of simulated and observed (in situ and satellite measurements) atmospheric surface ozone, nitrogen dioxide and oxygenated volatile organic compounds across China by  and . These studies demonstrate how reductions in anthropogenic emissions of ozone precursors (NO x and volatile organic compounds, VOCs) as proposed by the CONFORM dataset contributed to the observed changes in the regions affected by the COVID-19 lockdowns.
The impact of the AF changes on the total emissions (sum of emissions from transportation (road and non-road traffic), industry, residential, power and shipping) has been analyzed for different compounds and selected regions using the anthropogenic CAMS-GLOB-ANT_v4.2_R.1.1 emission inventory (Granier et al., 2019;Elguindi et al., 2020). This dataset provides daily emissions of the main atmospheric compounds, including speciated volatile organic compounds at a 0.1 • × 0.1 • resolution, from 2000 to 2020. Version R.1 of the CAMS-GLOB-ANT_v4.2 dataset incorporates the MEIC1.3 regional inventory for China described by Zheng et al. (2018).
The percentage of global change in emissions during COVID-19 compared to the reference 2020 emissions is shown in Fig. 7 for the main pollutants (NO x , CO, SO 2 , BC, OC and NMVOCs) from January to June 2020. The vertical bars indicate the estimated lower and upper limits of the changes in emissions due to the restrictions. Figure 7 shows that the changes depend on the chemical species, with decreases in monthly global emissions of 22 % (11 %-26 %) for NMVOCs, 17 % (12 %-24 %) for NO x , 14 % (7 %-18 %) for CO, 10 % (6 %-18 %) for SO 2 and 9 % (3 %-13 %) for BC in April 2020 compared to a non-COVID-19 scenario. The global changes in OC emissions are different from the other species, with an increase of 3 % (0 %-7 %). These results reflect the differences in the contribution of each sector to the total emissions for the different species as suggested in Fig. S6 (Supplement), which shows the absolute change in emission per sector for NO x and OC. Figure S6 indicates that the reductions in NO x emissions are mainly driven by the changes in road transport and industry sectors, while there is a large contribution of the residential sector in the OC emissions. Figure 8, which displays regional monthly changes in eastern China   , also indicates large differences in the changes in emissions among the regions. In agreement with the changes in the activity data previously shown, the reductions are highest in February in the eastern China region for all species except OC, for which a relatively small increase is observed during that month. The average monthly NO x emissions in eastern China derived from this study decreased in February 2020 by 29 % (24 %-37 %) compared to the reference emission scenario (i.e., without a COVID-19 effect). The NMVOC emissions decrease significantly, by 22 % (15 %-29 %). The decreases in the amount of SO 2 emissions are of the same order of magnitude. BC and CO show maximum average reductions of 8 % and 10 %, respectively, in the eastern China region, while OC shows a slight increase of 1.6 % for February.
In the rest of the world, NO x emissions exhibit large decreases (13 %-42 %) during the strictest shutdown period (i.e., in April) when almost all sectors of activity slowed down or stopped. In Europe, the average reduction in NO x emissions is 25 % (20 %-35 %) in April. These values are of the same order of magnitude as the mean change of −33 % reported in Guevara et al. (2021) for Europe for the period from 23 March to 26 April 2020. For SO 2 , the average reduction in Europe calculated by Guevara et al. (2021) is of the same order of magnitude as our low estimation range of 9 %-23 % (average value of 14 %) in April. However, the percentage decline in NMVOC emissions (21 %-40 %, with an average of 34 % as for April) derived from our study is much higher than the value from Guevara et al. (2021). Solvents and industrial processes are the main sectors contributing to anthropogenic NMVOC emissions: in our study, the changes in the solvents sectors, for which no data are yet available, are assumed similar to the changes related to the industrial sector. The way the decreases in solvent emissions are handled in the different studies could explain the large differences in the changes in NMVOC emissions in different regions. European CO, SO 2 and BC emissions during the lockdowns decreased by an average of 8 %, 14 % and 18 % in April, respectively, relative to the reference emissions.
The results show that the lockdowns led to an average reduction in NO x emissions in the USA of 21 % (15 %-35 %) during April, while these values reach 43 % (30 %-53 %) in South American regions, 29 % (22 %-42 %) in India and 13 % (8 %-19 %) in Africa. For NMVOCs, the maximum average reduction is 33 % (21 %-43 %) in the USA in April, while these values reach 55 % (27 %-57 %) in South America, 14 % (2 %-19 %) in India and 19 % (1.4 %-21 %) in Africa. The largest variabilities in the different countries in Africa and in India are due to the large uncertainties associated with the activity data in these countries. The magnitude of the changes in total emissions are not homogenous within the same region and can be very different from one location to another. Figure 9 displays the spatial distribution of the absolute difference between the COVID-19 and the reference scenarios as well as the associated percentage changes in NO x emissions for April 2020, the strictest lockdown period in most countries in the world. During that month, substantial declines in almost all geographical areas and for most species are seen, with the main decreases happening in urban areas strongly affected by human activities (Figs. 9a and S7 in the Supplement). The percentage changes (Fig. 9b) reflect the regional average decreases shown in Fig. 8, with, for example, reductions over China ranging from 10 % to 20 % in April 2020. It can be noticed that the emission changes in China result mostly from the significant decrease in emissions in the densely populated and heavily industrialized North China Plain and megacities. As already mentioned, the largest decreases in large cities of Europe, USA and India occurred in April, and in China they occurred in February (Fig. S8, Supplement). The changes in total emissions of each species are driven by changes in the predominant sectors contributing to the emissions of each species. The observed decrease over the oceans from the different figures is related to the reduction in shipping activities in response to the slowdown of the economy.
These results provide a global overview of the effect of the lockdowns on the emissions of different atmospheric compounds in different regions of the world.

Data availability
The average estimated daily and monthly gridded AFs for the sectors considered in this study, i.e., transportation (including air traffic and shipping), industries, residential and power generation, are available as NetCDF files for the global domain at a resolution of 0.1 • × 0.1 • . A range of AF is provided at each grid point as the average ± standard deviation. The acronym of the dataset is CONFORM (COvid-19 adjustmeNt Factors fOR eMissions), and it is available at https://doi.org/10.25326/88 (Doumbia et al., 2020). The files (which have been updated to December 2020) can be openly accessed through the Emissions of atmospheric Compounds and Compilation of Ancillary Data (ECCAD) database with a login account (https://eccad.aeris-data.fr/, last access: 23 August 2021). In the ECCAD database, the dataset can be directly accessed using the following link: https://eccad.aeris-data.fr/essd-conform/ (last access: 23 August 2021). . Spatial distribution of (a) the absolute change and (b) the percentage change in total NO x emission (combination of emissions from ground transportation, industry, power, residential and shipping) for April 2020.

Conclusions
The restrictions and lockdowns resulting from the COVID-19 pandemic since the end of January 2020 have had important social, economic and environmental consequences. In this study, we have provided an estimate of adjustment factors (AFs) to quantify the changes in global emissions of major atmospheric pollutants during the lockdown periods. This dataset can be easily applied to the emissions used in global and regional models to simulate the impacts of the reduced human activity on the atmospheric composition and climate. To this purpose, we analyzed activity data from various sectors representative of transportation (road, air and ship), industry, residential and power generation. The resulting dataset provides daily or monthly sectoral AFs on a 0.1 • ×0.1 • resolution over the globe and can be used to quantify regional patterns in the distributions of emissions during the COVID-19 pandemic. When applied to the CAMS-GLOB-ANT_v4.2_R1.1 emissions dataset, large changes are estimated, with maximum decreases in the total emissions in February in eastern China, with an average reduction of 20 %-30 % in NO x , NMVOC and SO 2 emissions. In other regions, the maximum changes occur in April, with average reductions of 20 %-30 % for NO x , NMVOCs and CO in Europe and North America and larger decreases (30 %-50 %) in South America. In both India and Africa, NO x emissions decline by 10 % to 40 %, while NMVOC emissions decrease by 2 % to 20 %, with larger uncertainties compared to other regions. For the other species, the maximum average reduc-tions are generally less than 15 %, except in the South American countries, where large decreases in CO and BC are estimated. These changes in the total emissions are related to the different changes in the individual sectors. The patterns of the reductions also show large differences at the regional level.
We acknowledge that the lack of data for some activity sectors in several regions and the absence of accurate information on all sectors might cause significant uncertainties in the estimation of the AFs. For that reason, besides average values, the dataset also includes low and high estimation of the AFs for the period over January-August 2020. This should give an estimate of the uncertainties in the distribution of chemical species in models. The AFs obtained in this study will be extended at least until the end of the year 2020 and will be revised and updated as new or improved information on economic and mobility activity becomes available.
Author contributions. TD and CG designed the study. TD, SD, NE and CG produced emission data. TD, YL, XS and TW collected the datasets. TD, IB, ST, BG and TS analyzed the developed adjustment factors (AFs). BG, AD, FL, ST, IB, YL, TW and TS tested the AFs in atmospheric models. TD, CG and GB wrote the original draft. All authors provided critical feedback and helped shape the research, analysis and manuscript.