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Large discrepancy between observed and modeled wintertime tropospheric NO2 variabilities due to COVID-19 controls in China

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Published 8 March 2022 © 2022 The Author(s). Published by IOP Publishing Ltd
, , Focus on Satellite Remote Sensing of Atmospheric Environment over Asia Citation Jiaqi Chen et al 2022 Environ. Res. Lett. 17 035007 DOI 10.1088/1748-9326/ac4ec0

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Abstract

Recent studies demonstrated the difficulties to explain observed tropospheric nitrogen dioxide (NO2) variabilities over the United States and Europe, but thorough analysis for the impacts on tropospheric NO2 in China is still lacking. Here we provide a comparative analysis for the observed and modeled (Goddard Earth Observing System-Chem) tropospheric NO2 in early 2020 in China. Both ozone monitoring instrument and surface NO2 measurements show marked decreases in NO2 abundances due to the 2019 novel coronavirus (COVID-19) controls. However, we find a large discrepancy between observed and modeled NO2 changes over highly polluted provinces: the observed reductions in tropospheric NO2 columns are about 40% lower than those in surface NO2 concentrations. By contrast, the modeled reductions in tropospheric NO2 columns are about two times higher than those in surface NO2 concentrations. This discrepancy could be driven by the combined effects from uncertainties in simulations and observations, associated with possible inaccurate simulations of lower tropospheric NO2, larger uncertainties in the modeled interannual variabilities of NO2 columns, as well as insufficient consideration of aerosol effects and a priori NO2 variability in satellite retrievals. In addition, our analysis suggests a small influence from free tropospheric NO2 backgrounds in E. China in winter. This work demonstrates the challenge to interpret wintertime tropospheric NO2 changes in China, highlighting the importance of integrating surface NO2 observations to provide better analysis for NO2 variabilities.

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1. Introduction

As a precursor to ozone and secondary aerosols, NOx (=NO + NO2) is one of the most important pollutants and plays a key role in tropospheric chemistry. The importance of tropospheric NOx has made it an essential target of global emission controls. Satellite measurements have been widely used to investigate tropospheric NOx changes (Duncan et al 2016, Georgoulias et al 2019). Inverse analyses based on satellite measurements further improved our understanding of NOx emissions (Itahashi et al 2019, Qu et al 2019, Elguindi et al 2020, Miyazaki et al 2020a). However, recent studies demonstrated the challenge to explain the observed tropospheric NO2 variabilities. For example, Jiang et al (2018) exhibited an increase of ozone monitoring instrument (OMI) tropospheric NO2 columns over the United States (US) by 8.6% in 2010–2015, whereas fuel-based bottom-up analysis suggested a decrease of NOx emissions by 13%. Silvern et al (2019) indicated that the increase of OMI NO2 is partially affected by free tropospheric NO2 background. Laughner and Cohen (2019) suggested possible effects from NO2 lifetime changes on the increase of OMI NO2 over North America.

Surface in situ NO2 measurements are important supplements to satellite observations to understand tropospheric NO2 variabilities (Liu et al 2018, Shen et al 2021, Shi et al 2021). Comparative analyses for the responses of satellite and surface NO2 observations to NOx emissions further provide useful information to diagnose NOx changes. For example, Qu et al (2021) indicated that the satellite-observed increase of free tropospheric NO2 background over the US is associated with intercontinental pollution transport or natural emissions, which is not captured by chemical transport models; Jiang et al (2022) suggested comprehensive applications of satellite and surface NO2 observations, because satellite-based NOx emissions over urban grids provide good representation for anthropogenic NOx emissions in the US and Europe, while satellite-based NOx emissions in background areas are biased due to NO2 backgrounds.

The rapid changes in fuel consumption and regulation policies in China have resulted in dramatic variations of pollutant emissions. There are currently many efforts focusing on the estimation of NOx emissions in China (Zheng et al 2018, Itahashi et al 2019, Qu et al 2019, Jiang et al 2022). However, unlike the US and Europe (Jiang et al 2018, 2022, Laughner and Cohen 2019, Li and Wang 2019, Silvern et al 2019, Song et al 2021, Wang et al 2021), thorough analysis for the impacts of NO2 backgrounds on tropospheric NO2 variabilities in China is still lacking. The unprecedented lockdowns across the world to contain the 2019 novel coronavirus (COVID-19) spread have led to a slowdown of economic activities, with pronounced declines in anthropogenic emissions (Ding et al 2020, Liu et al 2020, Shi et al 2021, Stavrakou et al 2021). Miyazaki et al (2020b) indicated that COVID-19 controls resulted in about 20% reductions in anthropogenic NOx emissions in China via assimilating OMI NO2 measurements. Feng et al (2020) suggested about 30% reductions in anthropogenic NOx emissions in China via assimilating surface NO2 measurements. An analysis of the responses of observed and modeled tropospheric NO2 to emission changes due to COVID-19 controls can provide unique information to better interpret the observed NO2 variabilities in China.

In this work, we integrate OMI and the China Ministry of Ecology and Environment (MEE) monitoring network NO2 observations and GEOS (Goddard Earth Observing System)-Chem chemical transport model (with 0.5° × 0.625° horizontal resolution) to estimate the responses of tropospheric column and surface NO2 to emission changes in China in early 2020. The objective of this work is to assess the impacts of free tropospheric NO2 backgrounds, as well as the capability of chemical transport models to capture the observed tropospheric NO2 variabilities in China. This paper is organized as follows: in section 2 we describe the OMI NO2, surface NO2 observations, and GEOS-Chem model used in this work. In section 3 we analyze the observation-based and model-based tropospheric NO2 variabilities. Our conclusions follow in section 4.

2. Data and models

2.1. Tropospheric OMI NO2 column data

The OMI instrument on the Aura spacecraft has a spatial resolution of 13 km × 24 km (nadir view), which is in a sun-synchronous ascending polar orbit with a local equator crossing time of 13:45 (Levelt et al 2018). OMI provides global coverage with measurements of both direct and atmosphere-backscattered sunlight in the ultraviolet-visible range from 270 to 500 nm; the spectral range 405–465 nm is used to retrieve tropospheric NO2 columns. The OMI quality assurance for essential climate variables (QA4ECV) retrievals level 2 are used in this work (Boersma et al 2018). The pixel-based OMI NO2 data are averaged to 0.5° × 0.625° horizontal resolution with daily temporal resolution. Following Jiang et al (2018), and the QA4ECV product user manual (www.qa4ecv.eu/ecv/no2-pre/data), the following filters are applied in our analysis: processing quality flags = 0 to ensure successful processing in the retrieval; surface albedo < 0.3; cloud radiance fraction < 0.5; no edge data (rows 1–5, 56–60); no row anomaly data (rows 27–55).

2.2. GEOS-Chem model simulations

The GEOS-Chem chemical transport model (www.geos-chem.org, version 12-8-1) is driven by assimilated meteorological data of MERRA-2 with nested 0.5° × 0.625° horizontal resolution. The model includes fully coupled O3-NOx -VOC (volatile organic compound)-halogen-aerosol chemistry. It has been widerly used for air quality studies in China (Li et al 2019, Dang et al 2021, Lu et al 2021). The nested domain (E. China) defined in this work is 97.5° E–127.5° E, 17.5° N–47.5° N, with 2 months of spin-up period to remove the influence from initial conditions. The chemical boundary conditions are updated every 3 h from a global simulation with 4° × 5° resolution. Emissions in GEOS-Chem are computed by the Harvard-NASA Emission Component. Global default anthropogenic emissions are from the Community Emissions Data System (Hoesly et al 2018). Regional emissions are replaced by Multiresolution Emission Inventory for China in China, and MIX in other regions of Asia (Li et al 2017). The model configurations in this work are similar with Chen et al (2021), who have demonstrated the capability of this model to simulate surface O3 concentrations in E. China. We refer the reader to Chen et al (2021) for the details of model configurations. The modeled NO2 to be compared with satellite measurements (${y_{{\text{trop}}}}$) are smoothed with OMI averaging kernels with the following approach (Huang et al 2014, Qu et al 2020): ${y_{{\text{trop}}}} = {A_{{\text{trop}}}} \cdot {x_{{\text{trop}}}}$, where ${A_{{\text{trop}}}} = A \cdot {\text{AM}}{{\text{F}}_{{\text{total}}}}/{\text{AM}}{{\text{F}}_{{\text{trop}}}}$. Here ${x_{{\text{trop}}}}$ represents the modeled tropospheric NO2; ${A_{{\text{trop}}}}$ represents the column averaging kernel for tropospheric retrievals; A represents OMI averaging kernel; ${\text{AM}}{{\text{F}}_{{\text{total}}}}$ and ${\text{AM}}{{\text{F}}_{{\text{trop}}}}$ represent total and tropospheric air mass factors, respectively.

2.3. China Ministry of Ecology and Environment (MEE) NO2 measurements

We use surface in situ NO2 concentration data from the China MEE monitoring network (https://quotsoft.net/air/) for the period of 2014–2020. These real-time monitoring stations have the ability to report hourly concentrations of criteria pollutants from over 360 cities in 2020. Concentrations were reported by the MEE in units of µg m−3. The MEE NO2 measurements have been widerly used in recent studies, for example, Liu et al (2018) evaluated modeled surface NO2 concentrations with MEE NO2 observations and found underestimation in the emission inventories; Feng et al (2020) estimated the changes in anthropogenic NOx emissions with MEE NO2 observations; Shen et al (2021) analyzed the impacts of weather and emission changes on surface NO2 concentrations provided by MEE stations. To compare with satellite measurements, only surface NO2 observations (hourly data) matching the OMI overpass time are considered in this work.

3. Results and discussions

3.1. Observation-based responses of tropospheric NO2 to COVID-19 controls

Figure 1 shows tropospheric OMI NO2 columns averaged in the 40–20 d before reference time (25 January 2020, RT) and in the 10–30 d (after the RT) in 2015–2019 and 2020. The RT is set because the Spring Festival (25 January 2020) is a good indication of Chinese economic cycles. The data was further shifted for 2015–2019 to account for the economic cycles due to the Spring Festival. As shown in figure 1, tropospheric OMI NO2 columns in the 10–30 d (after the RT) in 2015–2019 (figure 1(b)) are dramatically lower than those before the RT (figure 1(a)), caused by the seasonal variability of tropospheric NO2 and influence of Spring Festival. Tropospheric OMI NO2 columns in the 40–20 d (before the RT) in 2020 (figure 1(c)) is lower than those in 2015–2019 (figure 1(a)) due to the sustainable reductions of NOx emissions in China (Zheng et al 2018, Jiang et al 2022). Despite tropospheric OMI NO2 columns in the 10–30 d (after the RT) in 2020 (figure 1(d)) are lower than those in 2015–2019 (figure 1(b)), it is unclear whether this discrepancy is caused by the decreasing trend of NOx emissions or COVID-19 controls.

Figure 1.

Figure 1. Tropospheric OMI NO2 columns with unit 1015 molec cm−2. (A) Averages in the 40–20 d (before the reference time (RT)) in 2015–2019; (B) averages in the 10–30 d (after the RT) in 2015–2019; (C) averages in the 40–20 d (before the RT) in 2020; (D) averages in the 10–30 d (after the RT) in 2020. The locations of Jiangsu, Hebei, Shandong and Hubei provinces are shown in panel (A).

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To isolate the influences from the decreasing trend of NOx emissions, figures 2(a)–(c) further show averaged tropospheric OMI NO2 columns in 2015–2019 and 2020, normalized in the 50–10 d before RT. The shaded areas demonstrate the distributions of OMI NO2 in 2015–2019. We find a significant decrease of tropospheric OMI NO2 over E. China in February 2020, driven by COVID-19 controls (figure 2(a)). Figure 3 exhibits the mean tropospheric OMI NO2 columns over various provinces in E. China in 2015–2019. The high industrialization levels in the North China Plain and Yangtze River Delta have led to strong pollutant emissions in provinces such as Jiangsu, Hebei and Shandong (the locations are shown in figure 1(a)). There are large differences in the responses of OMI NO2 over different provinces, for example, the perturbations in OMI NO2 are significant over highly polluted Hebei province (figure 2(b)) but insignificant over medium polluted Hubei province (figure 2(c)). In contrast to satellite measurements, the averaged surface in situ NO2 observations (figures 2(d)–(f)) revealed significant and comparable declines in NO2 concentrations over E. China as well as Hebei and Hubei provinces.

Figure 2.

Figure 2. (A)–(C) Tropospheric OMI NO2 columns (averaged in the period of ±7 d with unit 1015 molec cm−2) in 2020 and 2015–2019, normalized in the 50–10 d before the RT (magenta line). The shaded areas represent distributions of OMI NO2 in 2015–2019. (D)–(F) China MEE monitoring network surface NO2 concentrations (averaged in the period of ±7 d with unit ppb) in 2020 and 2015–2019, normalized in the 50–10 d before the RT. The shaded areas represent distributions of MEE NO2 in 2015–2019.

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Figure 3.

Figure 3. Mean tropospheric OMI NO2 columns (March–June) in 2015–2019 with unit 1015 molec cm−2. The red, blue and green colors define the high, medium and low polluted provinces in E. China, respectively.

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According to figures 2, 3 and figure 4(a) provides a detailed comparison for the observed variabilities in tropospheric NO2 on 10 February–29 February 2020. We find consistent responses in surface NO2 concentrations: about 33%–34% reductions over E. China, as well as high, medium and low polluted provinces. By contrast, the perturbations on tropospheric OMI NO2 columns are smaller than surface NO2 concentrations. Furthermore, there is larger nonlinearity in the observed tropospheric NO2 columns: the responses decreased from about 28% (low polluted provinces) to 20% (highly polluted provinces). It is different with Qu et al (2021), in which they found the responses of satellite NO2 to COVID-19 controls are stronger than those of surface NO2 over highly polluted areas in the US in March–April 2020. The difference between this work and Qu et al (2021) exhibits possible regional discrepancies in the responses of tropospheric NO2 to NOx emissions.

Figure 4.

Figure 4. (A) Mean reductions (10 February–29 February 2020) of tropospheric OMI NO2 columns and MEE surface NO2 measurements. The satellite measurements are sampled at the locations and times of surface measurements. The high, medium, and low polluted provinces are defined in figure 3. (B) Modeled reductions of tropospheric column and surface NO2 (panels (C) + (D)). The modeled surface NO2 are sampled at the locations and times of surface measurements; the modeled column NO2 are smoothed with OMI averaging kernels and then sampled at the locations and times of surface measurements. (C) Mean reductions (10 February–29 February 2020) of GEOS-Chem modeled tropospheric column and surface NO2 due to 30% reductions in anthropogenic NOx emissions. (D) Mean anomaly (10 February–29 February 2020) of modeled tropospheric column and surface NO2 based on figure 7.

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3.2. Model-based responses of tropospheric NO2 to NOx and VOCs emissions

The above analysis analyzed the observation-based responses of tropospheric NO2 to emission changes, we then evaluate the capability of chemical transport models to capture the observed responses. Figure 5(a) shows the modeled tropospheric NO2 columns in February 2020 over E. China, with similar spatial patterns with OMI NO2 observations (figure 1(a)). The anthropogenic NOx and VOC emissions in figure 5(a) are fixed in 2019. Figure 5(b) exhibits the response of modeled tropospheric NO2 columns to a 30% decline of anthropogenic NOx emissions in February 2020 to simulate the impacts of COVID-19 controls. The 30% reduction of NOx emissions resulted in about 30%–40% decreases of tropospheric NO2 columns (figure 5(b)) over provinces with high NO2 abundances (in figure 5(a)), and 30%–20% decreases over the rest of E. China. Figure 5(d) further demonstrates the responses of modeled surface NO2 concentrations to a 30% decline of anthropogenic NOx emissions in February 2020. The spatial patterns in the responses between tropospheric NO2 columns (figure 5(b)) and surface NO2 (figure 5(d)) are similar. However, the reductions of surface NO2 (figure 5(d)) are weaker than reductions of tropospheric NO2 columns (figure 5(b)) over provinces with high NO2 abundances.

Figure 5.

Figure 5. (A) Modeled tropospheric NO2 columns in February 2020 with unit 1015 molec cm−2. (B) Reductions of tropospheric NO2 columns in response to 30% reduction of anthropogenic NOx emissions. (C) Modeled surface NO2 concentrations in February 2020 with unit ppb. (D) Reductions of surface NO2 concentrations in response to 30% reductions of anthropogenic NOx emissions. The anthropogenic NOx and VOC emissions in panels (A) and (C) are fixed in 2019.

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The simulations with 30% perturbation on NOx emissions allow us to compare the observed and modeled responses of tropospheric NO2 to emission changes. To have a more accurate comparison, we sampled modeled surface NO2 at the locations and times of surface measurements; the modeled column NO2 are smoothed with OMI averaging kernels (see section 2.2) and then sampled at the locations and times of surface measurements. As shown in figure 4(c), 30% reductions of NOx emissions lead to about 20%, 30% and 26% decreases of modeled surface NO2 concentrations, and 36%, 34% and 27% decreases of tropospheric NO2 columns over highly, medium and low polluted provinces, respectively. The modeled responses of tropospheric column NO2 are larger than those of surface NO2.

Following figure 5, we further perturb anthropogenic NOx and VOC emissions to assess the impacts of nonlinear chemistry and possible changes in atmospheric oxidation capability on modeled tropospheric NO2. As shown in figure 6(a), both tropospheric column (red) and surface NO2 (green) demonstrate nearly linear responses to NOx emission changes as well as insensitive to changes in VOC emissions over E. China. The differences become significant for various provinces: the responses of surface NO2 are weaker than the 1:1 relationship over highly polluted provinces (figure 6(b)); the responses of column NO2 are weaker than the 1:1 relationship over lower polluted provinces (figure 6(d)). We find the discrepancies in the modeled responses between column and surface NO2 are not affected by the selection of NOx emission perturbations (e.g. 30% in this work): the responses of surface NO2 are smaller than those of tropospheric column NO2 over highly polluted provinces (figure 6(b)) within 10%–60% reductions of NOx emission as well as 10%–40% reductions of VOC emissions.

Figure 6.

Figure 6. Responses of modeled tropospheric column (red) and surface NO2 (green) in February 2020 to perturbations in anthropogenic NOx (−10%, −20%, −30%, −40%, −50% and −60%) and VOC emissions (−10%, −20%, −30% and −40%). The ranges of red and green lines represent the spreads of impacts of perturbations on VOC emissions. The high, medium, and low polluted provinces are defined in figure 3.

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3.3. Large discrepancy between observed and modeled NO2 variabilities

Here we further investigate the impacts of meteorological condition changes on tropospheric NO2. Figure 7 shows the anomaly of tropospheric OMI NO2 columns, surface NO2 measurements, and GEOS-Chem model simulations in 2015–2020. Because the anthropogenic NOx and VOC emissions are fixed in 2019, the modeled tropospheric NO2 in figure 7 are driven by changes in meteorological conditions. There are large interannual variabilities in tropospheric NO2, for example, OMI NO2 over highly polluted provinces (figure 7(b)) in 2018 is about 18% higher than the 2015–2019 average, and thus, the about 18% decline of OMI NO2 in 2020 (figure 7(b)) may not represent a significant perturbation due to COVID-19 controls. Furthermore, the interannual variabilities in modeled tropospheric NO2 columns are much larger than those in surface NO2 over highly polluted provinces in 2015–2019 (figure 7(b)), indicating stronger effect of meteorological condition changes on free tropospheric NO2 than surface NO2. According to figure 7, figure 4(d) provides a detailed comparison for the impacts of meteorological condition changes on modeled tropospheric column and surface NO2 in 2020. The impacts from meteorological condition changes on surface NO2 concentrations are generally smaller than 5%, however, the impacts on tropospheric NO2 columns can be larger than 15% over highly polluted provinces.

Figure 7.

Figure 7. Mean anomaly (averages in the 15–35 d (after the RT)) of tropospheric OMI NO2 columns, MEE surface NO2 measurements, and modeled NO2 in respect to the 2015–2019 averages. The modeled surface NO2 are sampled at the locations and times of surface measurements; the modeled column NO2 are smoothed with OMI averaging kernels and then sampled at the locations and times of surface measurements. The anthropogenic NOx and VOC emissions are fixed in 2019 in model simulations. The high, medium, and low polluted provinces are defined in figure 3.

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Figure 4(b) demonstrates the combined influences from 30% reductions of NOx emissions (figure 4(c)) and meteorological condition changes (figure 4(d)). The modeled responses of surface NO2 concentrations in figure 4(b) show smaller nonlinearity: about 27%, 34% and 28% over high, medium and low polluted provinces, respectively. By contrast, the responses of modeled tropospheric NO2 columns in figure 4(b) exhibit larger nonlinearity: about 52%, 38% and 22% over high, medium and low polluted provinces, respectively. The larger reductions of tropospheric NO2 columns in the simulations over highly polluted provinces are driven by the combined effects from emissions and meteorology: the emission-induced responses over highly polluted provinces are larger than those over low polluted provinces by about 10% (figure 4(c)); the meteorology-induced responses over highly polluted provinces are larger than those over low polluted provinces by about 20% (figure 4(d)).

There are large discrepancies between observed and modeled tropospheric NO2 variabilities: the observed reductions in tropospheric NO2 columns are about 40% lower than those in surface NO2 concentrations over highly polluted provinces (figure 4(a)), but the modeled reductions in tropospheric NO2 columns are about two times higher than those in surface NO2 concentrations (figure 4(b)). By contrast, we find good agreement between observations and simulations over low polluted provinces. As shown in figure 8, the modeled NO2 decreases driven by 30% reductions in NOx emissions are nearly uniform over low polluted provinces in the lower troposphere (1000–900 hPa), in contrast to the dramatic vertical gradient over highly polluted provinces. The different performances between high and low polluted provinces in figure 4 could thus, be caused by inaccurate simulations of lower tropospheric NO2 in winter. Furthermore, the observed reductions in the tropospheric NO2 columns over low polluted provinces are larger than those over highly polluted provinces (figure 4(a)). It indicates a small influence from possible free tropospheric NO2 backgrounds. As suggested by Qu et al (2021), the NO2 backgrounds are associated with intercontinental pollution transport or natural emissions (such as soil and lightning NOx ), which could be weak in E. China in winter.

Figure 8.

Figure 8. Vertical responses of modeled NO2 in February 2020 to 30% reductions in anthropogenic NOx emissions. The high, medium, and low polluted provinces are defined in figure 3.

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4. Conclusion

This work explores the impacts of free tropospheric NO2 backgrounds, as well as the capability of chemical transport models to capture the observed tropospheric NO2 variabilities in China. We find small influence from free tropospheric NO2 backgrounds, which is perhaps associated with weak intercontinental pollution transport and natural emissions (such as soil and lightning NOx ) in E. China in winter. However, our analysis demonstrates a large discrepancy between observed and modeled NO2 variabilities over highly polluted provinces: the observed reductions in tropospheric NO2 columns in early 2020 due to the COVID-19 controls are about 40% lower than those in surface NO2 concentrations. By contrast, the modeled reductions in tropospheric NO2 columns are about two times higher than those in surface NO2 concentrations. It is different with Qu et al (2021), in which they found the responses of satellite NO2 to COVID-19 controls are stronger than those of surface NO2 over highly polluted areas in the US in March–April 2020.

The discrepancy between observed and modeled NO2 variabilities could be driven by the combined effects from uncertainties in simulations and observations. The possible inaccurate simulations of lower tropospheric NO2 in winter (figure 8) and larger uncertainties in the modeled interannual variabilities of tropospheric NO2 columns (figure 7(b)) may have contributed to this discrepancy. A model-based interpretation for the observed wintertime tropospheric NO2 changes may thus lead to marked uncertainties in the derived NOx emissions. Furthermore, insufficient consideration of aerosol effects (Lin et al 2015, Liu et al 2019), a priori NO2 variability (Laughner et al 2016) and horizontal resolutions (Judd et al 2019) in the satellite retrievals can lead to underestimation of tropospheric NO2 columns, although their influences could be limited in our analysis because we are focusing on the relative changes, and the effects of systematic biases can thus be mitigated in the relative differences. Comparative analysis by including simulations with different chemical mechanisms and meteorological fields can provide useful information to evaluate the uncertainties in the modeled tropospheric NO2. Analyses with various satellite NO2 products can further clarify this discrepancy. In addition, we advise more efforts to assess the impacts of NO2 backgrounds in China in seasons outside of winter.

Acknowledgments

We thank the providers of the OMI tropospheric NO2 column data; We thank the China Ministry of Ecology and Environment (MEE) for providing the surface NO2 measurements (from https://quotsoft.net/air/). The numerical calculations in this paper have been done on the supercomputing system in the Supercomputing Center of University of Science and Technology of China. This work was supported by the Hundred Talents Program of Chinese Academy of Science and National Natural Science Foundation of China (41721002). Part of this work was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under contract to NASA.

Data availability statement

All data that support the findings of this study are included within the article (and any supplementary files).

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10.1088/1748-9326/ac4ec0