The mechanisms and seasonal differences of the impact of aerosols on daytime surface urban heat island effect

. The urban heat island intensity (UHII) is the temperature difference between urban areas and their rural sur-roundings. It is commonly attributed to changes in the underlying surface structure caused by urbanization. Air pollution caused by aerosol particles can affect the UHII through changing (1) the surface energy balance by the aerosol radiative effect (ARE) and (2) planetary-boundary-layer (PBL) stability and airﬂow intensity by modifying thermodynamic structure, which is referred to as the aerosol dynamic effect (ADE). By analyzing satellite data and ground-based observations collected from 2001 to 2010 at 35 cities in China and using the WRF-Chem model, we ﬁnd that the impact of aerosols on UHII differs considerably:


Introduction
The global population has been increasingly concentrated in cities (Heilig, 2012). Urbanization in China has dramatically increased from 26 % in 1990 to 60 % in 2018, resulting in a marked change in the landscape. It has a significant impact on the urban and rural climate and will continue to make an impact as cities continue to develop (Han et al., 2014;Ren, 2015). Urbanization leads to a dramatic change in the underlying surface structure, properties, and spatial distribution of a city, such as a reduction in green areas and a corresponding increase in urban impervious areas. These changes increase the temperature difference between urban and rural areas, known as the urban heat island (UHI) intensity (UHII) (e.g., Kalnay and Cai, 2003;Zhao et al., 2014Zhao et al., , 2016Zhou et al., 2016;Yang et al., 2017). While the UHI mainly involves surface and atmospheric UHIs, this study focuses on surface UHI. The UHI also affects the structure and movement of cloud systems (Changnon and Westcott, 2002;Kug and Ahn, 2013;Pinto et al., 2013). Many factors affect the diurnally and seasonally varying UHI, such as weather and climatic regimes, urban impervious surfaces, anthropogenic Figure 1. Illustration of the relationship between urbanization, urban heat island, aerosols, local and regional weather, and climate. Solid arrows denote the effect.
heat, air pollution, and urban 3-D structure (Oke, 1982;Morris and Simmonds, 2000;Kim and Baik, 2002;Gedzelman et al., 2003;Ryu and Baik, 2012;Ding et al., 2016;. It is well established that cities are the largest sources of anthropogenic heat emissions as by-products of industrial and human activities. Human activities can also generate large amounts of aerosols that can reduce air quality, change the physical and chemical properties of the atmosphere, and endanger human health (Sanap and Pandithurai, 2015;Cohen et al., 2017;Wei et al., 2019aWei et al., , b, 2020. Aerosols can also alter the radiation balance of the climate system. Their thermodynamic effect reduces the amount of radiation reaching the ground, and their microphysical effect can influence cloud properties and precipitation regimes through their impacts on cloud microphysical and dynamic processes (Rosenfeld et al., 2008;Li et al., 2011Li et al., , 2016Li et al., , 2019Liu et al., 2019). Aerosols can increase cloudiness and cloud thickness and thus change the stability of the planetary boundary layer (PBL). In humid regions, aerosols may reduce the frequency of light rain but increase heavy rainfall, while in dry areas, aerosols aggravate droughts. Aerosols can also intensify convection by delaying the occurrence of convection and enhancing gust fronts (Khain et al., 2005;Carrió et al., 2010;Carrió and Cotton, 2011;Wang et al., 2011;Han et al., 2012;Lee and Feingold, 2013;Guo et al., 2016a;Li et al., 2017b). The effect of urbanization on clouds and precipitation has also been the focus of many studies (Changnon et al., 1977;Ackerman et al., 1978;Changnon et al., 1991;Shepherd et al., 2002;Shepherd and Burian, 2003). With increasing urbanization in the future, cities are likely to influence local and regional weather and climate to greater and greater degrees.
UHI, surface roughness, and higher aerosol concentrations have been proposed to explain observed urban clouds and precipitation anomalies. Increased urban surface roughness likely does not play a major role in urban-area-induced precipitation. Rather, UHI and higher aerosol concentrations may play more important roles (Han et al., 2014). The UHI can alter the water vapor flux (accelerate evaporation), reduce horizontal wind speeds and enhance vertical turbulence, reduce the temperature difference between daytime and night-time, increase the absorption rate of solar radiation by land, and change underlying surface characteristics (e.g., sensible heat dissipation, convection efficiency, evaporation and cooling, sunlight reflection, and anthropogenic heat transfer) (Jáuregui and Romales, 1996;Taha, 1997;Bornstein and Lin, 2000;Givati and Rosenfeld, 2004;Grimmond, 2007;Carrió et al., 2010;Zhao et al., 2014;Skougaard Kaspersen et al., 2015;. The UHI and aerosols may interact over cities. Aerosols generally reflect and absorb solar radiation and reduce the amount of shortwave radiation reaching the ground, i.e., the cooling effect of aerosols on ground temperature. Some numerical modeling studies have demonstrated that landscape changes reduce near-surface concentrations of particulate matter (PM 2.5 ) and that the UHI effect can influence the dispersion of air pollutants (Liu et al., 2009;Liao et al., 2015;Tao et al., 2015;Zhong et al., 2017Zhong et al., , 2018. Moreover, aerosols can enhance the UHI at night in semi-arid cities (by 0.7 ± 0.3 K), and the UHI alters aerosol concentrations (Cao et al., 2016;Fallmann et al., 2016;Lai, 2016). Heavy pollution can reduce UHII in China, especially during the day (Wu et al., 2017;Zheng et al., 2018;Yang et al., 2020).
The Weather Research and Forecasting coupled with Chemistry (WRF-Chem) model has been used extensively in the simulation and prediction of air quality, the aerosol radiation effect, aerosol-cloud interactions, and changes in meteorological fields and regional climate (Grell et al., 2005;Chapman et al., 2009). Coupled with the urban-canopy model, WRF-Chem can account for the influences of aerosols and land surface changes on radiative processes if such parameters are fed to the model, e.g., aerosol loading and singlescattering albedo, surface albedo, thermal emissivity, and roughness, among others (Miao et al., 2009;Chen et al., 2011). Many pertinent studies done to date focused on annual effects without investigating any seasonal differences and the underlying mechanism. This study aims to fill this gap by analyzing the annual and seasonal effects of aerosols on UHII and proposing mechanisms that may explain the seasonal differences.

Data
Data used in this study include the Land Satellite Thematic Mapper and Enhanced Thematic Mapper (Landsat TM/ETM+) and Moderate Resolution Imaging Spectroradiometer (MODIS) products (including land surface temperature -LST -and aerosol optical depth -AOD), groundbased data from meteorological stations, PM 2.5 concentrations, and sounding data.
Landsat data are used to identify and outline urban areas and urban contours. The spatial resolution is 30 m. Summertime (June, July, and August) images before or in 2000 and in 2015 were examined to ensure the accuracy and consistency of the results.
The MODIS LST product (MYD11A1/A2) at a 1 km spatial resolution was used to calculate urban and rural UHIIs. Since this study is mainly focused on the daytime UHI effect, only data (daily and 8 d clear-sky LST observations with a 1 km spatial resolution) at 13:30 Beijing time (BJT) for the period 2001-2015 were used. The MYD11A2 product uses the MODIS cloud mask product (MYD35) to filter out cloudy conditions. A generalized split-window algorithm is applied using MODIS data from two longwave bands in the atmospheric window to correct for atmospheric water vapor, haze effects, and the sensitivity to errors in the surface emissivity. Changes in surface emissivity have been taken into account to obtain the LST from brightness temperatures (Wan and Dozier, 1996;Snyder et al., 1998;Wang and Liang, 2009;Yu et al., 2011;Cao et al., 2016).
The MODIS Multi-Angle Implementation of Atmospheric Correction (MAIAC) AOD product, with a 1 km spatial resolution and global coverage, is used. This product was retrieved by virtue of a time series analysis and a combination of pixel-and image-based processing to improve the accuracies of cloud detection, aerosol retrievals, and atmospheric correction (Lyapustin et al., 2011a(Lyapustin et al., , b, 2012. A large volume of meteorological data are analyzed, including visibility, surface wind speed, temperature, precipitation, and other parameters every 3 h, together with hourly PM 2.5 data in urban and surrounding rural areas. Figure S1 in the Supplement shows the spatial distribution of the meteorological stations. For consistency with the satellite imaging time (13:30 BJT), meteorological data and PM 2.5 data observed at 13:00 and 14:00 BJT were selected. Due to the lack of long-term records of aerosol concentration, visibility is frequently used as a proxy for aerosol loading Wu et al., 2012;Yang et al., 2013).
Validation using Aerosol Robotic Network AOD retrievals shows that the MAIAC and MODIS aerosol retrieval algorithms have similar accuracies over dark and vegetated surfaces and that the MAIAC algorithm generally improves the accuracies of AOD retrievals over bright surfaces such as deserts and urban surfaces (Lyapustin et al., 2011a(Lyapustin et al., , b, 2012Wei et al., 2019c;Zhang et al., 2019). Sounding data and PM 2.5 measurements were available from 2013 to 2015. MA-IAC AOD retrievals for each area were averaged to obtain the spatial distribution of AOD over each city; then the difference in AOD between urban and rural areas was calculated.
L-band sounding data were employed, acquired at the five radiosonde stations in Beijing, Chengdu, Nanjing, Shenyang, and Xi'an, operated by the China Meteorological Administration since 2006. They contain high-resolution profiles of temperature, pressure, relative humidity (RH), and wind speed and direction at 08:00 and 20:00 BJT (UTC+8) (Zhang et al., 2018;Lou et al., 2019). The data quality of radiosonde measurements has been well validated, making the data suitable for studying the UHI effect (Guo et al., 2016b).

Extracting urban impervious surfaces and urban contours
Indices commonly used to extract built-up areas include the difference built-up index (DBI), the index-based built-up index (IBI), and the normalized difference built-up index (NDBI). Another index, the soil-adjusted vegetation index (SAVI), is a modification of the normalized difference vegetation index that corrects for the influence of soil brightness when the vegetative cover is low (Huete, 1988;Qi et al., 1994;Rondeaux et al., 1996). After some tests, the difference NDBI − SAVI was used to extract urban impervious surfaces because of its ability to differentiate urban impervious surfaces from other land-use types: where L is the soil adjustment factor whose value is 0.5, and ρ n is the Landsat reflectance of band n. We then used different thresholds to extract urban impervious surfaces after calculating NDBI − SAVI. Results were verified by Google Earth and a land-use map with a 1 : 100 000 scale from the Data Center for Resources and Environmental Sciences of the Chinese Academy of Sciences. Many previous studies have extracted urban areas from nighttime stable-light data. However, the spatial resolution of such data is low, so the extraction accuracy would be significantly affected in urban areas with uneven zoning and in regions with irregular urban development, as in most municipalities in China. The TM/ETM+ data were used to accurately extract the physical boundaries of urban areas. The difference in the underlying surfaces of urban and rural areas forms the basis of the urban physical-boundary extraction. Urban surfaces are generally covered by impervious materials, and rural surfaces are mainly covered by natural surfaces. The influence of the UHI is not only felt within the physical boundaries of urban areas but also beyond it. In terms of area, this influence can extend from 2 to 4 times the extent of an urban area. In terms of distance, the influence of the UHI can be felt as far as 3 to 6 km away from an urban physical boundary (Zhou et al., 2015).
For each city, nine research windows (6 km × 6 km each) were selected. The windows include one urban window, four suburban windows, and four rural windows. For the study period considered (2001)(2002)(2003)(2004)(2005)(2006)(2007)(2008)(2009)(2010)(2011)(2012)(2013)(2014)(2015), the urban window represents an area that remained urban and developed during this time. The suburban windows represent areas that were vegetated before the study period. As cities expanded, these areas were gradually replaced by urban impervious surfaces from 2001 to 2015. The rural windows represent areas that remained vegetated during the study period. These windows were 10 km away from the urban physical boundary to ensure that these windows were not or were weakly affected by the UHI. The elevations of the areas covered by each window are within 100 m of each other for a given city based on DEM (digital elevation model) data. Water bodies are excluded. Figure S2 shows the spatial distribution of the nine research windows for a given city. The UHII is the temperature difference between the average temperature of the urban core window and the average temperature of rural windows, calculated as where T u is the average temperature of an urban area, and T r is the average temperature of the neighboring rural area.

WRF-Chem model simulations
The model used in this study is WRF-Chem 3.9.1, coupled with a single-layer urban-canopy model. As shown in Fig. S7, the domain has a horizontal grid resolution of 3 km and 50 vertical levels from the surface to 50 hPa. To better characterize the PBL, 16 layers are set below 1 km, where the first layer extends from the surface to ∼ 47 m over Beijing. The National Centers for Environmental Prediction Final Analysis (NCEP-FNL) data provided meteorological fields with a 6 h temporal frequency and a 1 • × 1 • spatial resolution. The Goddard Earth Observing System Chemical model provided the chemical lateral boundary and initial conditions. The IGBP-Modified MODIS 20-category land-use category dataset derived the land cover. Monthly 0.25 • × 0.25 • anthropogenic emissions of aerosols and precursors were obtained from the Multi-resolution Emission Inventory for China (MEIC, 2012) (http://www.meicmodel.org, last access: 29 May 2020), providing monthly mean emission data of SO 2 , NO x , CO, NMVOC, NH 3 , BC, OC, PM 2.5 , PM 10 , and CO 2 . The Model of Emissions of Gases and Aerosols from Nature provided biogenic emission data (Guenther et al., 2006;Sakulyanontvittaya et al., 2008). The Fire INventory from NCAR model provided the biomass-burning emission data (Wiedinmyer et al., 2011). The Carbon Bond Mechanism version Z chemical mechanism and the Model for Simulating Aerosol Interactions and Chemistry were used in simulations (Zaveri and Peters, 1999;Zaveri et al., 2008). Table S1 in the Supplement summarizes other details of schemes used in the simulations. The simulations are initiated at 12:00 UTC on 30 June 2015 for summer and 12:00 UTC on 1 January 2015 for winter. The meteorological fields are reinitialized every 48 h. We conducted four sets of model experiments (Table S2) to investigate the aerosol radiative impact for both summer and winter: (a) A1Summer with the aerosol radiative effect turned on, (b) A0Summer with the aerosol radiative effect turned off, (c) A1Winter with the aerosol radiative effect turned on, and (d) A0Winter with the aerosol radiative effect turned off. To be consistent with the observation analysis, we select clear-day simulations as the analysis time period by excluding the first 3 d simulation for chemistry spin-up (Table S2).

The UHI effect
Selected for the study were 35 large cities evenly distributed across China. Table S3 lists these cities of different sizes. They represent major and well-developed metropolitan regions in China. The population and urban areas of these cities have increased faster and/or more dramatically than those of other cities. We used the difference NDBI − SAVI to extract urban impervious surfaces and then determined urban contours based on the identification of impervious surfaces. Figure 2 shows the urban contours of all cities. Figure S3 shows UHII and visibility trends. UHII and visibility have similar trends in most cities before and after 2008. The trends, however, differ pre-and post-2008. Figure 3 shows the relationships between UHII and visibility based on their respective trends shown in Fig. S3. UHII and visibility are grossly positively correlated. Higher visibility means a lower aerosol concentration, leading to a higher UHII, and vice versa. On the other hand, the two may also change in opposite directions if the expansion of a city is more associated with heavy industry with strong emissions. In such a case, industrial expansion can produce both more aerosol particles, especially secondary aerosols converted from precursor gases, and stronger UHI, but they have no causal relation. This is likely a reason for the diverse relationships between the trends of the two variables. The complication originates from highly different pathways of city expansions among these cities. The overall positive relationships revealed in Fig. 3 attest to the causal relationship, implying that aerosol loading influences the UHII to varying degrees. Also analyzed was the relationship between RH and UHII. Figure 3b shows that there is a positive correlation between RH and UHII, but it is less significant than the correlation between UHII and visibility (p value of visibility > RH). Note that not only these two factors affect UHII. Many other factors affect UHII, but this study mainly focuses on the aerosol effect.
To better investigate the effect of aerosols on the UHII, we calculated the UHII under severe air pollution conditions (i.e., visibility less than 8 km) and compared it with the average UHII. On an annual basis (Fig. S4), the UHII under severe air pollution conditions is lower than the average UHII, suggesting that a high aerosol loading will reduce the UHII. In summer (Fig. 4a), the UHI at 29 of the 35 cities is weaker under polluted conditions. In winter (Fig. 4b), however, the majority of cities (27 out of 35) have a stronger UHI under polluted conditions, suggesting that aerosols enhance the UHII in winter. 4 Causes for the opposite impacts of aerosols on the UHI in summer and winter

Mechanisms of the aerosol impact on the UHI
Aerosols alter the radiation budget by scattering and absorbing solar radiation (Chýlek and Coakley, 1974;Chýlek and Wong, 1995;Li, 1998). The aerosol radiative effect tends to cool down the surface, warm up the atmosphere, stabilize the PBL, and suppress the dispersion of pollutants in the PBL, incurring positive feedback (Li et al., 2017a). As illustrated in Fig. 5, the UHII may be influenced by both the aerosol radiative effect (ARE) and the suppressed vertical exchange of surface heat fluxes, denoted as the aerosol dynamic effect (ADE) because it is related to turbulent dynamics. The ARE. The increasing difference of aerosols between the urban and rural areas will reduce more solar radiation to urban ground than rural ground, which influences the rise of the LST because of different aerosol loading and properties between urban and rural areas. The above process reduces the temperature difference between urban and rural areas and thus reduces UHII. This process usually has a negative effect on UHII, and it belongs to aerosol directly radiative effect.
The ADE. On the other hand, an aerosol-induced temperature inversion (especially in winter) within the PBL (Zhang et al., 2014;Li et al., , 2017a) renders a very stable PBL that inhibits vertical and horizontal airflows and surface heat fluxes (latent or sensible heat) between urban areas and rural areas . In addition to a temperatureinversion-induced stable PBL, air pollution is usually accompanied by low wind speeds (particularly < 2 m s −1 ), also favorable to both heat accumulation and storage. Urban surfaces can store more heat, which affects UHII. This process usually has a positive effect on UHII, and it affects heat exchange mainly through turbulence mixing.
Compared with rural areas, urban impervious surfaces have a low thermal capacity, so their temperatures are thus more sensitive to heat changes. Note that the ARE and ADE are not independent and that there is an indirect effect between them due to potential urban-rural circulations.

Analyses for the ARE
Urban-rural differences in air quality. Urban-rural differences in air quality were analyzed by calculating the spatial differences in PM 2.5 and AOD under cloudless conditions between urban and rural areas. Their spatial differences between summer and winter were also analyzed.
Measurements of urban PM 2.5 concentrations were divided into four categories, namely 0-50, 50-100, 100-150, and > 150 µg m −3 , based on urban pollution levels. Figure 6 shows mean urban-rural differences in each PM 2.5 concentration bin of all cities. On average, the spatial difference in summer is larger than in winter across all PM 2.5 concentration bins. Five zones were selected based on the distance to the urban geometric center of all cities: Zone 1 -0-10 km, Zone 2 -11-20 km, Zone 3 -21-30 km, Zone 4 -31-40 km, and Zone 5 -41-50 km. Then the average AOD for each zone was calculated. Figure 7 shows the variation trends of mean AOD as a function of distance from the urban geometrical center of each city in winter and summer. As the distance from the urban geometrical center increases, summertime AODs decrease more rapidly than wintertime AODs. Figures 6 and 7 indicate that the spatial difference in air pollution between urban and rural areas in summer is larger than that in winter. Moreover, in summer, urban pollution is often more serious than rural pollution. In winter, pollution in both urban and, in particular, rural areas is severe. Many factors (e.g., PM 2.5 emissions, transportation, and diffusion) may cause the seasonal difference in urban-rural differences .
UHII response to variation in visibility. Figure S5 shows the relationship between UHII and visibility difference. For most cities, a higher visibility difference causes smaller UHII in summer, while UHII barely changes as visibility difference changes in winter. This result indicates that UHII is more sensitive for visibility difference in summer than winter; namely, the ARE has an obvious effect in summer, but it is very weak in winter.
The results of Sect. 4.2.1 indicate that the ARE is more significant in summer than in winter.

Analyses for the ADE
Air stability within the PBL. Wind affects the heat exchange between urban and rural areas. Regardless of wind direction, high wind speeds favor the urban-rural heat exchange and reduce the UHII, while low wind speeds decrease the urban-rural heat exchange and enhance UHII. Mean wind speeds were computed in urban and rural areas in summer and winter, under polluted and clean conditions (Fig. 8 based on Fig. S6). As expected, the mean wind speed under polluted conditions is lower than that under clean conditions, especially in winter, when the difference is 1.1 m s −1 , versus summer, when the difference is 0.6 m s −1 . This suggests that the urban-rural exchange in summer is stronger than that in winter.
Vertical temperature gradients affect the stability of the atmosphere, surface heat fluxes (especially sensible heat), and vertical turbulence. Figure 9 shows the vertical temperature profiles at five cities in different seasons under polluted and clean conditions. Note that there are fewer sounding stations than general surface meteorological stations in China. The vertical temperature gradient is weaker under polluted conditions than under clean conditions, so vertical mixing is weaker. This phenomenon is also more pronounced in winter than in summer. For Nanjing, both aerosols and meteorological conditions may affect the temperature gradient in winter because of the large difference of surface temperature between clean and polluted conditions. The temperature gradient within the PBL under polluted conditions generally decreases more sharply than under clean conditions, except at Chengdu, located in the Sichuan Basin. The temperature lapse rate is the smallest under polluted conditions in winter (Fig. 10). These results suggest that vertical airflow and surface heat release under polluted conditions are lessened more significantly in winter than in summer.
Seasonal differences in air stability in urban and rural areas may be summarized as follows. Under polluted conditions, Red and blue bars represent UHII calculated using data from all days and from polluted days only, respectively. The overall mean UHII calculated using data from all days and from polluted days only is shown as red and blue solid lines, respectively.    both horizontal and vertical exchanges decrease inside the PBL, thus weakening the heat exchange and pollution dispersion. However, this effect is much stronger in winter than in summer. In winter, the airflow significantly weakens with increasing pollution, stabilizing the PBL and significantly decreasing heat exchanges within the PBL.
The results of Sect. 4.2.2 indicate that the ADE is more significant in winter than in summer.
In summary, the above analyses suggest that the two mechanisms behave differently in summer and winter. In summer, the ARE plays a more important role than the ADE in changing the UHII, while the importance of the two mechanisms is opposite in winter.

Testing the mechanisms through modeling
We evaluate simulated aerosol and meteorological properties with surface PM 2.5 observations and sounding data (Figs. S7, S8, and 11). Figure S7 shows that simulated near-surface PM 2.5 concentrations are highest in regions south and east of Beijing, in general agreement with observations. The temporal variations in simulated and observed PM 2.5 concentrations have consistent trends at most stations (Fig. S8). The vertical profiles of temperature, RH, and wind speed also agree with sounding observations (Fig. 11). In general, the simulation results appear sound. Figure 12 depicts the averaged diurnal variations in UHII differences ( UHII) between UHII with the aerosol radiation effect (ARE) and UHII without the ARE, with negative values showing the reduction of UHII by aerosols and positive values showing the opposite. In summer (Fig. 12a), aerosols reduce UHII throughout all day, but in winter (Fig. 12b), aerosols enhance UHII in the afternoon. This shows the effect of aerosols on UHII on a daily scale, supporting Fig. 4. The averaged diurnal variation in downward shortwave radiation at the surface (SWDOWN) between urban and rural areas shows that the SWDOWN difference is larger than that in winter (Fig. S9). The results in Figs. S7 and S9 indicate that the spatial difference of air pollution in summer is larger than that in winter, and the wintertime pollution is more serious than summertime pollution, which is consistent with observational results shown in Figs. 6-7. Figure 13 shows that the ARE is more significant on the temperature lapse rate in winter than that in summer in both urban and rural areas. Moreover, the temperature lapse rate in summer is far larger than that in winter. This is also consistent with the observational results shown in Fig. 10.

Conclusion and discussion
The urban heat island intensity (UHII) is investigated using long-term satellite, ground-based, and sounding data under different environmental conditions, from severely polluted to clean conditions, at 35 cities in China, aiming at understanding the impact of aerosols on the UHII. The impact is found to be opposite between summer and winter. On an annual basis, aerosols reduce the UHII, consistent with previous studies (Wu et al., 2017). Aerosols lessen the UHII in summer but strengthen it in winter. The opposite effects are explained by two distinct roles of aerosols, namely, the aerosol radiative effect (ARE) and aerosol dynamic effect (ADE) based on our analyses of extensive observational data from satellite and the ground, which is further reinforced by model simulations. The ARE refers to the reduction of surface solar radiation by aerosol which lowers surface temperature, whereas the ADE is concerned with the dispersion of heat associated Figure 10. Average temperature reductions below 1.5 km (unit: K (100 m) −1 ) from sounding observations at five cities under polluted (hatched bars) and clean (white bars) conditions in summer and winter. The red arrows show the change ranges from clean conditions to polluted conditions; the blue arrow shows the change range from polluted condition in summer to polluted condition in winter. with any change in airflow due to aerosol-induced changes in atmospheric stability.
In summer, aerosols do not have much of an impact on airflow within the PBL in urban areas. There is a strong heat exchange between urban and rural areas in both polluted and clean conditions. As such, the ADE is weak in summer, but the ARE is strong because aerosol loadings are much higher in urban areas than in rural areas. The reductions of surface solar radiation and temperature are a lot more than those in rural areas, which helps lessen the UHII. Figure 14a shows a diagram of how aerosols influence the UHII in summer.  In winter, the aerosol effects on PBL stability are dominant over the ARE effect because the spatial difference in air pollution between urban and rural areas is small (i.e., the differences of ARE between urban and rural areas are similar from clean to polluted conditions). This means that urban and rural areas likely experience the same severe pollution, heating the atmosphere and reducing the solar radiation reaching the surfaces of the urban and rural areas by a similar amount. Figure 14. The impact of the ARE and the ADE on UHII in summer (a) and winter (b) by altering radiation (yellow arrows) and heat exchange (brown arrows) on thermal contrast between urban and rural areas. Note the difference in aerosol loading between summer and winter and between urban and rural areas.
Whereas through the ADE, the PBL is more stabilized in polluted conditions, airflow intensity and temperature gradients significantly decrease, weakening the heat exchange in both vertical and horizontal directions. Heat is thus accumulated in urban areas, enhancing the UHII. Figure 14b illustrates how aerosols influence the UHII in winter.
Although this study comprehensively investigates some aerosol effects, other effects may exist, such as differences in aerosol properties (e.g., absorbing versus scattering aerosols) between urban and rural areas. This needs further examination but is infeasible at present due to a lack of observations between urban and rural regions. While the findings reported here are generally true in the majority of the 35 cities, they are not exclusively true for all cities due to their unique characteristics regarding their location, terrain, and climatic background, among other factors. Supplement. The supplement related to this article is available online at: https://doi.org/10.5194/acp-20-6479-2020-supplement.
Author contributions. All authors made substantial contributions to this work. WH and ZL designed this research. WH conducted the analyses and wrote the draft under the supervision of ZL. ZL reviewed and edited this paper. WF and YZ conducted the WRF-Chem simulations and helped edit this paper. JG and TS provided some datasets and helped edit this paper. MC reviewed and edited this paper. JF gave many suggestions about this study. TC and JW provided some datasets. SSL gave many suggestions about model simulations.