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Research February 2016 | Volume 124 | Issue 2

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Environ Health Perspect; DOI:10.1289/ehp.1409481

Satellite-Based Spatiotemporal Trends in PM2.5 Concentrations: China, 2004–2013

Zongwei Ma,1,2 Xuefei Hu,2 Andrew M. Sayer,3,4 Robert Levy,4 Qiang Zhang,5 Yingang Xue,6 Shilu Tong,7 Jun Bi,1 Lei Huang,1 and Yang Liu2

Author Affiliations open
1State Key Laboratory of Pollution Control and Resource Reuse, School of the Environment, Nanjing University, Nanjing, Jiangsu, China; 2Department of Environmental Health, Rollins School of Public Health, Emory University, Atlanta, Georgia, USA; 3Goddard Earth Sciences Technology and Research, Universities Space Research Association, Greenbelt, Maryland, USA; 4NASA Goddard Space Flight Center, Greenbelt, Maryland, USA; 5Center for Earth System Science, Tsinghua University, Beijing, China; 6Changzhou Environmental Monitoring Center, Changzhou, Jiangsu, China; 7School of Public Health and Social Work and Institute of Health and Biomedical Innovation, Queensland University of Technology, Brisbane, Queensland, Australia

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  • Background: Three decades of rapid economic development is causing severe and widespread PM2.5 (particulate matter ≤ 2.5 μm) pollution in China. However, research on the health impacts of PM2.5 exposure has been hindered by limited historical PM2.5 concentration data.

    Objectives: We estimated ambient PM2.5 concentrations from 2004 to 2013 in China at 0.1° resolution using the most recent satellite data and evaluated model performance with available ground observations.

    Methods: We developed a two-stage spatial statistical model using the Moderate Resolution Imaging Spectroradiometer (MODIS) Collection 6 aerosol optical depth (AOD) and assimilated meteorology, land use data, and PM2.5 concentrations from China’s recently established ground monitoring network. An inverse variance weighting (IVW) approach was developed to combine MODIS Dark Target and Deep Blue AOD to optimize data coverage. We evaluated model-predicted PM2.5 concentrations from 2004 to early 2014 using ground observations.

    Results: The overall model cross-validation R2 and relative prediction error were 0.79 and 35.6%, respectively. Validation beyond the model year (2013) indicated that it accurately predicted PM2.5 concentrations with little bias at the monthly (R2 = 0.73, regression slope = 0.91) and seasonal (R2 = 0.79, regression slope = 0.92) levels. Seasonal variations revealed that winter was the most polluted season and that summer was the cleanest season. Analysis of predicted PM2.5 levels showed a mean annual increase of 1.97 μg/m3 between 2004 and 2007 and a decrease of 0.46 μg/m3 between 2008 and 2013.

    Conclusions: Our satellite-driven model can provide reliable historical PM2.5 estimates in China at a resolution comparable to those used in epidemiologic studies on the health effects of long-term PM2.5 exposure in North America. This data source can potentially advance research on PM2.5 health effects in China.

  • Citation: Ma Z, Hu X, Sayer AM, Levy R, Zhang Q, Xue Y, Tong S, Bi J, Huang L, Liu Y. 2016. Satellite-based spatiotemporal trends in PM2.5 concentrations: China, 2004–2013. Environ Health Perspect 124:184–192;

    Address correspondence to Y. Liu, Emory University, Rollins School of Public Health, 1518 Clifton Rd. NE, Atlanta, GA 30322 USA. Telephone: (404) 727-2131. E-mail:, or L. Huang, School of the Environment, Nanjing University, 163 Xianlin Ave., Nanjing 210023, China. Telephone: 86 25 89680535. E-mail:

    This publication was made possible by U.S. Environmental Protection Agency (EPA) grant R834799. The work of Y.L. was partially supported by the NASA Applied Sciences Program (grant NNX11AI53G). The work of L.H. and J.B. was partially supported by the Key Program of the Chinese National Natural Science Foundation (71433007) and the National High-tech R&D Program (863 Program) of China (2013AA06A309). The work of Z.M. was supported by the China Scholarship Council (CSC).

    The contents of this publication are solely the responsibility of the grantee and do not necessarily represent the official views of the U.S. EPA. Further, the U.S. EPA does not endorse the purchase of any commercial products or services mentioned in the publication.

    The authors declare they have no actual or potential competing financial interests.

    Received: 14 November 2014
    Accepted: 17 July 2015
    Advance Publication: 24 July 2015
    Final Publication: 1 February 2016

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Fine particulate matter (PM2.5; particles with aerodynamic diameter ≤ 2.5 μm) has been strongly associated with adverse health effects (e.g., cardiovascular and respiratory morbidity and mortality) by numerous epidemiologic studies conducted primarily in developed countries (Pope and Dockery 2006). With the rapid economic development and urbanization occurring in China, severe, widespread PM2.5 pollution has attracted nationwide attention (Xu et al. 2013). However, research on the adverse health impacts of PM2.5 exposure has been hindered because a nationwide regulatory PM2.5 monitoring network did not exist until the end of 2012.

Estimating ground-level PM2.5 from satellite-retrieved aerosol optical depth (AOD) data is a promising, new method that has advanced rapidly in recent years (Hu et al. 2014bKloog et al. 2011Lee et al. 2011Liu et al. 2009). Satellite-driven statistical models have the potential to fill the spatiotemporal PM2.5 gaps left by ground monitors with high-quality predictions. Several recent studies of the health effects caused by long-term PM2.5 exposure have adopted satellite-estimated PM2.5 levels as their exposure estimates (Crouse et al. 2012Madrigano et al. 2013). Because sufficient ground PM2.5 measurements are needed to fit and validate statistical models, development of models in China was difficult before 2013. van Donkelaar et al. (2010) estimated long-term (2001–2006) average global PM2.5 concentrations at 0.1° resolution using the PM2.5/AOD ratios derived from a global chemical transport model (CTM). Two follow-up studies estimated the global PM2.5 time series from 1998 to 2012 (Boys et al. 2014van Donkelaar et al. 2015). Both studies validated their seasonal average estimates only with ground observations mostly obtained from North America, and the Pearson coefficients ranged from ~ 0.37 to ~ 0.68 (R2 = ~ 0.14–0.46). Yao and Lu (2014) used an artificial neural network (ANN) model to estimate PM2.5 levels in China from 2006 to 2010. However, their ANN was trained partially using PM2.5 and satellite data from the United States, which may have introduced substantial prediction error.

Taking advantage of the newly available national PM2.5 measurements for China, Ma et al. (2014) estimated PM2.5 levels for 2013 in China using satellite AOD and a geographically weighted regression (GWR) model. Using an early version of the Dark Target (DT) algorithm (Remer et al. 2005), this study adopted a relatively coarse spatial resolution of 50 km but did not attempt to estimate historical PM2.5 levels. The coarse resolution was a result of the limited coverage of AOD values retrieved by the Moderate Resolution Imaging Spectroradiometer (MODIS; instruments aboard the Terra and Aqua satellites launched by the National Aeronautics and Space Administration (NASA). In early 2014, more accurate Aqua MODIS Collection 6 (C6) AOD products retrieved by the enhanced DT (Levy et al. 2013) and Deep Blue (DB) algorithms (Hsu et al. 2013) were released. Despite providing better coverage over deserts and urban centers than DT AOD, DB AOD has rarely been used in PM2.5 studies owing to poorly characterized retrieval errors in earlier versions. As we demonstrate in the following sections, including the MODIS C6 DB AOD data substantially increases the spatiotemporal coverage of model predictions in China.

In this study, we developed a high-resolution (0.1°, which is approximately 10 km) statistical model to estimate historical ambient PM2.5 concentrations in China from 2004 to 2013 using MODIS C6 AOD data. First, we present our approach to generating a custom “combined” AOD parameter using the operational DT and DB AOD values, and we describe our two-stage spatial statistical model for estimating daily ambient PM2.5 levels. We then evaluate predicted PM2.5 concentrations at seasonal, monthly, and daily levels using ground PM2.5 measurements in China not included in the model development. Finally, we analyze the 10-year spatiotemporal trend of PM2.5 levels.

Materials and Methods

Ground PM2.5 measurements. The daily average PM2.5 concentrations for China (January 2013 to June 2014) were collected primarily from the website of the China Environmental Monitoring Center (CEMC). We collected additional data that are not included in the CEMC data from the websites of local environmental monitoring centers of several provinces (e.g., Shandong, Shanxi, Zhejiang, Guangdong) and municipalities (e.g., Beijing, Tianjin). Daily PM2.5 data for Macao (2013), Hong Kong (2005 to June 2014), and Taiwan (2004 to June 2014) were also collected from the websites of local environmental protection agencies. Data from the U.S. consulate sites in Beijing (2008–2013), Shanghai (2011–2013), Guangzhou (2011–2013), Shenyang (2013), and Chengdu (2012–2013) were also included. The web links for the abovementioned PM2.5 data sources are shown in Supplemental Material, Table S1. Data for Changzhou City in Jiangsu province were provided by the Changzhou Environmental Monitoring Center. Monthly and seasonal mean PM2.5 measurements for Beijing from 2005 to 2007 were obtained from Zhao et al. (2009). All ground PM2.5 measurements were obtained using tapered element oscillating microbalances (TEOMs) or beta attenuation monitors, both of which are subject to measurement errors due to the loss of semivolatile components (Duncan et al. 2014). However, because PM2.5 compliance in China is based on measurements obtained from these monitors, we used these PM2.5 measurements to develop and evaluate our model. Our study included a total of 1,185 monitoring sites in 205 cities or regions (Figure 1). The 2013 data were used for model fitting and cross-validation (CV), and data from other years were used to evaluate the predicted historical PM2.5 concentrations.

Figure 1 - Map showing locations of ground monitoring stations and color coded to indicate population densities.Figure 1 – Spatial distribution of ground PM2.5 monitoring sites. Open circles denote the sites with data available only from January to June 2014. Solid circles denote the sites with data available for not only 2014 but also for 2013 or earlier years. Note that many clustered sites are overlapped because of their proximity. The spatial resolution of the background gridded population is 0.1° × 0.1°.

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Satellite data. We extracted DT and DB AOD data for the period from January 2004 to June 2014 at 550 nm from the Aqua MODIS Level 2 aerosol data product, which were downloaded from the Level 1 and Atmospheric Archive and Distribution System ( Aqua MODIS C6 includes an operational combined AOD product calculated from DB and DT AOD in three Normalized Difference Vegetation Index (NDVI) categories (Levy et al. 2013). This combined AOD is equal to DT AOD if NDVI > 0.3 and is equal to DB AOD if NDVI < 0.2. When 0.2 ≤ NDVI ≤ 0.3, the combined AOD equals the mean of DT and DB AOD if both values have high quality assurance (QA) flags. If one of the algorithms reports a higher QA than the other, then that AOD value is used. Detailed descriptions of the MODIS operational combined AOD algorithm and the QA flags can be found elsewhere (Levy et al. 2013). We did not use the operational combined AOD data set of the MODIS C6 aerosol product because it discarded all DB AOD data with NDVI values > 0.3 (see Supplemental Material, “Validation of Aqua MODIS C6 AOD products”). We developed a three-step customized approach to combine DT and DB AOD. First, we performed a regression analysis between the daily collocated DT and DB AOD. The resulting regression coefficients were then used to predict the missing DB AOD in those pixels with only DT AOD and vice versa (Puttaswamy et al. 2014). Second, Level 2–validated AOD observations from 33 Aerosol Robotic Network (AERONET) sites (see Supplemental Material, Figure S1) in China were matched with the gap-filled MODIS DT and DB AOD retrievals. The variance of the differences between gap-filled DT (or DB) AOD and AERONET AOD values for each season was calculated. Finally, we combined the gap-filled DT and DB AOD data using the inverse variance weighting (IVW) approach as follows:

Equation 1 - AOD sub c equals fraction AOD sub DT divided by Var sub DTm, plus AOD sub DB divided by Var sub DBm, over 1 divided by Var sub DTm, plus 1 divided by Var sub DBm[1]

where AODc is the IVW–combined AOD; AODDT and AODDB are the gap-filled DT and DB AOD, respectively; and VarDTm and VarDBm are the variances of the differences between the gap-filled DT and DB AOD and the AERONET AOD of season m, respectively. When compared with the AERONET observations, our combined AOD performed similarly (R2 = 0.80, mean bias = 0.07) to MODIS’s operational combined AOD (R2 = 0.81, mean bias = 0.07) but had 90% greater coverage. Spatially, the improvement in temporal coverage varied by land use type (Figure 2). Coverage for densely populated southern and eastern China improved by 50–100%. The Tibetan plateau showed the most improvement (~ 200%), whereas the Gobi and Taklamakan Deserts showed the least (20–30%).

Figure 2 - Three color-coded maps indicating spatial variation in data coverage according to the model used.Figure 2 – Spatial distribution of annual mean available days for MODIS’s operational combined AOD (A), our IVW–combined AOD (B), and percentage improvement of data coverage (C).

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To account for the impact of fire smoke on PM2.5 levels (Hu et al. 2014c), we downloaded Aqua and Terra MODIS active fire spots from 2004 to 2014 from the NASA Fire Information for Resource Management System (​l-time-data/firms).

Meteorological and land use data. Goddard Earth Observing System Data Assimilation System GEOS-5 Forward Processing (GEOS 5-FP) (Lucchesi 2013) and GEOS-5.2.0 meteorological data were used in this study. GEOS-5 FP is the latest version of GEOS-5 meteorological data, with a spatial resolution of 0.25° latitude × 0.3125° longitude in a nested grid covering China and has been available since April 2012. GEOS-5.2.0 is the previous version of GEOS-5 FP and has a resolution of 0.50° × 0.666°. GEOS-5.2.0 data are available from January 2004 to May 2013. We averaged GEOS-5 FP data to the GEOS-5.2.0 grid to maintain a consistent spatial resolution across all model years. We used GEOS-5 FP data from 2013 for model development and GEOS-5.2.0 data from 2004 to 2012 for estimating historical PM2.5 levels. The period of overlap (April 2012 to May 2013) for GEOS-5 FP and GEOS-5.2.0 data was used to evaluate the influence of the change in meteorological data source (see Supplemental Material, Figure S3, Table S2, “Comparison of model performance using GEOS-5 FP and GEOS-5.2.0 meteorological data”). We extracted planetary boundary layer height (PBLH, 100 m), wind speed (WS, meters per second) at 10 m above the ground, mean relative humidity in PBL (RH_PBLH, percent), and surface pressure (PS, hectopascals) between 1300 and 1400 hours local time (Aqua satellite overpass time corresponds to 1330 hours local time), as well as cumulative precipitation from the previous day (Precip_Lag1; millimeters). Land use variables at 300-m resolution were obtained from the European Space Agency (ESA) Global Land Cover data portal (GlobCover;​php) (Bontemps et al. 2011). We extracted urban and forest cover data from GlobCover 2005–2006 to represent study years 2004–2008 and from GlobCover 2009 to represent the years 2009–2014.

Data integration. We created a 0.1° grid (100,699 grid cells in total) for data integration and model development. Ground PM2.5 data from multiple monitors in each grid cell were averaged. Because the sizes and geographical locations of MODIS AOD pixels vary in space and time, a 0.1° grid cell may have multiple AOD pixels (e.g., near the center of each satellite swath), or an AOD pixel may cover multiple 0.1° grid cells (e.g., near the edge of each swath). Therefore, Thiessen polygons representing individual MODIS AOD pixels were created and then mapped to the 0.1° grid to spatially assign combined AOD values to the grid cells. We interpolated the GEOS-5 FP and GEOS-5.2.0 data to the 0.1° grid using the inverse distance weighting (IDW) method. We calculated the percentage forest cover and urban area in each grid cell and the daily total counts of MODIS fire spots for each grid cell using a 75-km radius buffer. Finally, all of the variables in 2013 were matched by grid cell and day-of-year (DOY) for model fitting. The model prediction data set was composed of all spatiotemporally matched variables except PM2.5 concentrations from January 2004 to June 2014. Before model development, the independent variables in the fitting and prediction data sets were centered by subtracting their respective mean values computed from the fitting data set.

Model development and validation. We developed a two-stage statistical model to calibrate the spatiotemporal relationships between PM2.5 and AOD. The first-stage linear mixed-effects (LME) model included day-specific random intercepts and slopes for AOD and season-specific random slopes for meteorological variables:

PM2.5,st = (μ + μ´) + (β1 + β1´)AODst + (β2 + β2´)WSst + (β3 + β3´)PBLHst + (β4 + β4´)PSst + (β5 + β5´)RH_PBLHst + β6Precip_Lag 1 st +β7Fire_spotsst + ε1,st(μ´, β1´) ~ N[(0,0), Ψ1] + ε2,sj2´, β3´, β4´, β5´) ~ N[(0,0,0,0), Ψ2], [2]

where PM2.5,st is the average observed PM2.5 concentration at grid cell s on DOY tAODst is IVW–combined AOD ; WSstPBLHstPSstRH_PBLHst, and Precip_Lag 1 st are meteorological variables; Fire_spotsst is the fire count; μ and μ´ are the fixed and day-specific random intercepts, respectively; β1–β7 are fixed slopes for independent variables; β1´ is the day-specific random slope for AOD; β2´–β5´ are the season-specific random slopes for meteorological variables; ε1,st is the error term at grid cell s on day t; ε2,sj is the error term at grid cell s in season j; Ψ1 and Ψ2 are the variance–covariance matrices for the day- and season-specific random effects, respectively; and N represents normal distribution. In addition to modeling season-specific meteorological random effects, we tested alternative models with day- and month-specific random effects for meteorological variables and found that this may cause over-fitting (data not shown).

We fitted the first-stage model for each province separately. Because the provinces in western China (e.g., Tibet, Xinjiang, Qinghai) do not have enough PM2.5 monitoring sites (Figure 1) to produce a robust model-fitting data set, we created a buffer zone for each province to include at least 3,000 data records and at least 300 days in 2013. We averaged overlapping predictions from neighboring provinces to generate a smooth national PM2.5 concentration surface.

The second-stage generalized additive model (GAM) is expressed as follows:

PM2.5_residst = μ0 + s(XY)s + s(ForestCover)s + s(UrbanCover)s + ε st[3]

where PM2.5_residst is the residual from the first-stage model at grid cell s on day t; μ0 is the intercept term; s(XY)s is the smooth term of the coordinates of the centroid of grid cell ss(ForestCover)s and s(UrbanCover)s are the smooth functions of percent forest cover and urban area for grid cell s, respectively; and ε st is the error term.

Statistical indicators, such as the coefficient of determination (R2), mean prediction error (MPE), root mean squared prediction error (RMSE), and relative prediction error (RPE; defined as RMSE divided by the mean ground PM2.5), were calculated and compared between model fitting and cross-validation to assess model performance and to test for potential model over-fitting.

Prediction, evaluation, and time-series analysis of historical PM2.5. The historical daily PM2.5 concentrations (2004–2012) were estimated using the model developed based on 2013 data, assuming that the daily relationship between PM2.5 and AOD was constant for the same DOY in each year. Because there were few ground PM2.5 measurements for mainland China before 2013, we estimated daily PM2.5 concentrations in the first half of 2014 using the model established for 2013 and compared them with the ground measurements to validate the accuracy of the historical PM2.5 estimations. We evaluated historical PM2.5 predictions (including 2014) at daily, monthly, and seasonal scales. Because some AOD-derived PM2.5 estimates are missing owing to cloud and snow surfaces, we conducted a sensitivity analysis to test how many AOD-derived PM2.5 estimations could represent the true monthly and seasonal mean PM2.5 concentrations. We required each evaluation grid cell to have at least 25 PM2.5 ground measurements in a given month to calculate the monthly mean PM2.5 concentration and at least 25 measurements in each month of a season to calculate the seasonal mean PM2.5 concentration.

We calculated the monthly mean PM2.5 anomaly time series by subtracting the 10-year average PM2.5 concentration of the corresponding month for each grid cell and analyzed the PM2.5 trend for each grid cell using least squares regression (Weatherhead et al. 1998), which has been applied to global analyses of monthly mean AOD anomaly time-series data (Hsu et al. 2012). For each grid cell, we required at least six daily PM2.5 predictions in each month to calculate the monthly mean PM2.5 and at least 6 months of anomaly data per year to be included in the time-series analysis.

The workflow of estimating the spatiotemporal PM2.5 concentrations in this study is shown in Figure 3.

Figure 3 - Flow chart.Figure 3 – Workflow for estimating spatiotemporal PM2.5 concentrations.

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Descriptive statistics of the model-fitting data set. A total of 63,031 data records were included in the final 2013 model-fitting data set. The overall mean PM2.5 concentration was 77.05 μg/m3, and the mean value of our combined AOD was 0.69 (see Supplemental Material, Table S3). These results are approximately five times higher than those obtained for the eastern and southeastern United States (Hu et al. 2013Liu et al. 2005).

Results of model fitting and cross-validation. We summarize the fixed effects estimates, model fitting, and CV results of the first-stage LME model for each province in Supplemental Material, Table S4. AOD is the only variable that was statistically significant in all provincial models (p < 0.05). Wind speed, relative humidity, and precipitation were significant in most provincial models. Fire spots were not significant in some provinces, most likely because these regions have infrequent fire activity. The CV R2 values of the first-stage LME model ranged from 0.64 in Ningxia to 0.82 in Zhejiang. The spatial distribution of first-stage LME CV R2 (not shown here) indicates that our LME model generally performed better in south, east, north, and northeast China than in west and northwest China, which have fewer PM2.5 monitoring networks (Figure 1).

Figure 4 shows the model-fitting and CV results for the first-stage and full models. The full-model fitting and CV R2 values are 0.82 (Figure 4B) and 0.79 (Figure 4D), respectively, indicating that this model was not substantially over-fitted. Comparing the first-stage model (Figure 4A,C) with the full model (Figure 4B,D), it is clear that the second-stage GAM model marginally increased the R2 values. However, the GAM model did increase the slope (from 0.77, Figure 4C, to 0.79, Figure 4D) and reduce the intercept (from 18.38, Figure 4C, to 16.57 μg/m3Figure 4D) of the linear regression between the model-estimated and observed PM2.5 concentrations for 2013. More importantly, the PM2.5 levels in Hebei Province predicted by the full model were approximately 20 μg/m3 higher than those predicted by the first-stage model; the predicted PM2.5 levels in Tibet were approximately 15 μg/m3 lower in the full model (see Supplemental Material, Figure S4) than in the first-stage model, showing that the spatial pattern of the PM2.5 levels predicted by the full model was more consistent with that of the ground observations than PM2.5 levels predicted by the first-stage model.

Figure 4 - Two pairs of scatterplots showing estimated PM2.5 concentrations and model CVs (y-axes) according to measured PM2.5 concentrations (x-axes) based on the first-stage LME model and the full model, respectively. Figure 4 – Density scatterplots of model fitting and cross-validation (CV) at the daily level (n = 63,031). (A) and (B) are model-fitting results for the first-stage linear mixed effects (LME) model and the full LME + generalized additive model (GAM) model, respectively. (C) and (D) are model CV results for the first-stage LME model and the full LME + GAM model, respectively. Abbreviations: MPE, mean prediction error (μg/m3); RMSE, root mean squared prediction error (μg/m3); RPE, relative prediction error (%). The dashed line is the 1:1 line.

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Evaluation of historical PM2.5 predictions. Although our model’s predictions for daily level observations were poor compared with the historical observations (R2 = 0.41, n = 79,989) (Figure 5A), it performed much better at the monthly and seasonal levels (Figure 5B and C, respectively). The sensitivity analysis showed that more daily predictions yielded more accurate monthly or seasonal estimations (see Supplemental Material, Figure S5). Figure 5B shows that the monthly mean satellite PM2.5 calculated from more than five predicted daily PM2.5 concentrations could be a fairly accurate (R2 = 0.73) representation of monthly PM2.5 levels measured from ground observations with only a slight bias (regression slope = 0.91). This threshold of 6 days per month is consistent with the method of a previous global AOD trend study (Hsu et al. 2012). At the seasonal level (Figure 5C), satellite PM2.5 calculated from more than 10 predicted daily PM2.5 concentrations could be an accurate (R2 = 0.79) representation of seasonal PM2.5 levels with little bias (regression slope = 0.92).

Figure 5 - Three scatterplots of estimated PM2.5 concentrations (y-axes) according to daily, monthly, and seasonal mean values of measured PM2.5 concentrations (x-axes), respectively.Figure 5 – Evaluation of historical PM2.5 estimations (2004–2012 and January–June 2014) at daily (A), monthly (B), and seasonal (C) levels. Because there were few ground PM2.5 data for mainland China before 2013, we also estimated PM2.5 for the first half of 2014 using the 2013 model and compared the results with the ground measurements to validate the accuracy of the historical estimations.

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Spatial and temporal PM2.5 concentration trends. Figure 6 shows the spatial patterns of 10-year mean PM2.5 estimations (2004–2013) for China and four subregions (including the Beijing-Tianjin metropolitan region, the Yangtze River delta, the Pearl River delta, and the Sichuan Basin). The highest PM2.5 estimations were for the Beijing-Tianjin metropolitan region (including Beijing, Tianjin, and Hebei), followed by those for the Sichuan Basin, the Yangtze River delta (including Jiangsu, Shanghai, and Anhui), and the Pearl River delta. The 10-year mean PM2.5 estimations for the Beijing-Tianjin metropolitan region were generally ≥ 100 μg/m3, and the highest concentrations were ≥ 120 μg/m3. Similarly, the 10-year mean PM2.5 concentrations were generally ≥ 85 μg/m3 in the Sichuan Basin and the Yangtze River delta. The mean PM2.5 concentrations were generally ≥ 55 μg/m3 in the Pearl River delta. High PM2.5 levels also occured in the Taklamakan Desert in Xinjiang, an area that is a major dust source (Figure 6A). In the Supplemental Material, Figure S6 illustrates the seasonal patterns of the 10-year mean PM2.5 concentrations in China. Winter was the most polluted season (mean PM2.5: 72.24 μg/m3), and summer was the cleanest season (32.90 μg/m3).

Figure 6 - Five color-coded maps showing spatial distributions of estimated mean 10-year PM2.5 concentrations according to region.Figure 6 – Spatial distributions of 10-year (2004–2013) mean PM2.5 estimations for all of China (A), the Beijing-Tianjin metropolitan region (B), the Yangtze River delta (C), the Pearl River delta (D), and the Sichuan Basin (E).

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Figure 7 shows that although China had an overall positive 10-year average PM2.5 trend of 0.22 μg/m3 per year (Figure 7A), there was significant regional variability. For example, the Beijing-Tianjin metropolitan region had more rapid increases in PM2.5 (0.75 μg/m3 per year) than the rest of the nation (Figure 7B), whereas the Pearl River delta experienced a rapid decrease (0.96 μg/m3 per year) (Figure 7D). The PM2.5 level in the Yangtze River delta region remained steady (Figure 7C). In addition, PM2.5 levels in most of China increased by 1.97 μg/m3 per year before 2008 but decreased by 0.46 μg/m3 per year afterwards (Figure 7A,E,F). Similar trends were observed in the Beijing-Tianjin metropolitan region (Figure 7B). The PM2.5 level remained relatively constant in the Pearl River delta from 2004–2007, followed by a negative trend of 1.53 μg/m3 per year after 2008 (Figure 7D).

Figure 7 - A-D) Four line graphs of monthly PM2.5 concentrations (y-axes) according to time period (x-axes) and region. E and F) Two color-coded maps of spatial variation in annual time trends in PM2.5 concentrations during 2004–2007 and 2008–2013, respectively.Figure 7 – Time series of monthly, satellite-derived PM2.5 anomaly (μg/m3) for all of China (A), the Beijing-Tianjin metropolitan region (B), the Yangtze River delta (C), and the Pearl River delta (D); and spatial distribution of PM2.5 trends for 2004–2007 (E) and 2008–2013 (F). The white areas in (E) and (F) indicate missing data. The black lines in AD denote the PM2.5 trends for 2004–2013, the red lines represent the trends for 2004–2007, and the blue lines represent the trends for 2008–2013. The PM2.5 trends (μg/m3 per year), 95% confidence intervals (CIs) in parentheses (μg/m3 per year), and significance levels (*< 0.05; **< 0.01; ***< 0.005) are also shown in AD.

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Compared with our previous GWR model (CV R2 = 0.64) (Ma et al. 2014), the two-stage model presented herein demonstrated superior performance (CV R2 = 0.79). The CV RPE decreased from 51.3% (Ma et al. 2014) to 35.6% (the present study), approaching results seen in regional-scale studies conducted in the United States (Hu et al. 2014aLee et al. 2011). This improvement is particularly encouraging for our national model because, unlike regional-scale models, the PM2.5–AOD relationship will inevitably vary in space (e.g., variable PM2.5 composition and vertical distribution caused by different emission sources; variation of synoptic weather patterns by province). The first-stage CV R2 dropped to 0.63 if a single LME model was fitted for the whole domain, further illustrating that a constant daily PM2.5–AOD relationship is a valid assumption only for relatively small geographic regions. Using both MODIS C6 DT and DB AOD to obtain a custom combined AOD yielded a 25-fold increase in spatial resolution (from 50 to 10 km) and greatly improved the AOD data coverage. There were 120% more matched DB AOD values than DT AOD values when comparing DB and DT AOD data with AERONET observations (see Supplemental Material, Figure S2). Furthermore, our analysis indicated that in China, DB AOD had a smaller mean bias overall than DT AOD (0.01 ~ 0.05 vs. 0.13 ~ 0.18) (see Supplemental Material, Figure S2), enabling us to estimate lower PM2.5 levels.

To our knowledge, this is the first national-scale study in China to use advanced statistical models to estimate and evaluate historical PM2.5 levels in the years beyond the modeling year. The lack of concordance between daily historical PM2.5 predictions and ground measurements was caused by the strong model assumption that the daily PM2.5–AOD relationship derived from the 2013 data remained constant for the same DOY in each year. This limitation of our model cannot be resolved without sufficient historical PM2.5 data to allow annual model adjustments before 2013. Nonetheless, our monthly (R2 = 0.73, slope = 0.91) and seasonal (R2 = 0.79, slope = 0.92) mean PM2.5 predictions are accurate representations of the ground measurements with relatively low biases and can serve as exposure estimates to study the health impacts of long-term PM2.5 exposure in China. The seasonal patterns showed that the most polluted season was winter and the cleanest was summer, consistent with the results of our previous study (Ma et al. 2014). Looking forward, this model can be fitted every year after 2013 to provide accurate daily PM2.5 concentrations and fill the spatial gaps left by the monitoring network.

Two approaches (including statistical and scaling models) can be applied to retrieve ground PM2.5 levels from satellite remotely sensed AOD data (Liu 2014). For statistical models to function properly, substantial ground data support is necessary. With the recently established ground monitoring network, we were able to develop this high-performance spatial model for China. The same model cannot be applied in regions with sparse or no ground observations. In this case, the scaling approach described by Brauer et al. (2012) is the only applicable method.

We compared the 9-year (2005–2013) AOD-derived and ground-measured PM2.5 trends for Hong Kong (no PM2.5 monitoring sites in 2004) and Taiwan (few sites in 2004). The results revealed that the AOD-derived PM2.5 trend for Hong Kong (–1.28 μg/m3 per year) was similar to the trend for the ground measurements (–1.35 μg/m3 per year). However, the AOD-derived PM2.5 trend for Taiwan was –0.17 μg/m3 per year, which was much higher than that for the ground measurements (–0.72 μg/m3 per year). This inconsistency is most likely due to missing satellite AOD retrievals. For example, only 34.5% of the grid cells in Taiwan had > 50% months with AOD-derived PM2.5 data. Missing AOD values are a major limitation of and challenge for PM2.5-AOD modeling (Liu 2014), and developing methods to account for missing AOD data in China will be a focus of our future research.

Nonetheless, the overall regional trends are consistent with the environmental policy and regulation change in China. We found an inflection point for the monthly mean PM2.5 time series around 2008. The PM2.5 level increased steadily between 2004 and 2007, but the trend reversed or became non-significant after 2008, especially in the Beijing-Tianjin metropolitan region. A recent study (Boys et al. 2014) also found that PM2.5 levels rose steadily until 2007 and then became stable in east Asia. China experienced a rapid growth of energy consumption before 2005 (Yuan et al. 2011), resulting in missed environmental quality targets between 2001 and 2005 (Xue et al. 2014). The growth in energy demand led to a stricter energy conservation and emissions reduction (ECER) policy, which required a 20% reduction in energy usage intensity by the end of 2010 compared with the level in 2005 (Lo and Wang 2013). The ECER policy was implemented in late 2006, and the overall reduction achieved by 2010 was 19.06% (Lo and Wang 2013). A recent study also showed that the production-related PM2.5 emissions in China peaked in approximately 2007 and dropped quickly afterwards (Guan et al. 2014). A sharp reduction of PM2.5 levels induced by this ECER policy may explain the inflection point.


The two-stage satellite AOD model developed in the present study generated reliable historical monthly and seasonal PM2.5 predictions for China at 10-km resolution and with little bias, including data from the past decade, when the regulatory PM2.5 monitoring network did not exist. Because several long-term PM2.5 health effects studies in North America and the Global Burden of Disease project are driven by satellite exposure estimates obtained at this resolution (Brauer et al. 2012Crouse et al. 2012Madrigano et al. 2013), our model predictions could greatly enhance research on long-term PM2.5 health effects in China. With the release of the Terra MODIS C6 product in early 2015, the predicted historical PM2.5 time series can now be extended to early 2000, if consistent meteorological and land use parameters are found to cover 2000–2003. From 2013 onward, our model can provide daily PM2.5 exposure estimates to fill the gaps left by the PM2.5 monitoring network in China. Finally, given the wider dynamic range of PM2.5 concentrations in China compared with that in North America, likely due to intensive local sources, it is possible to further improve the performance of our model with detailed land use (e.g., road network) and emissions (e.g., major point sources) information, which was not available when this study was performed (Kloog et al. 2014).


Bontemps S, Defourny P, Van Bogaert E, Arino O, Kalogirou V, Perez JR. 2011. GlobCover 2009: Products Description and Validation Report. Available:​2009_Validation_Report_2.2.pdf [accessed 9 July 2015].

Boys BL, Martin RV, van Donkelaar A, MacDonell RJ, Hsu NC, Cooper MJ, et al. 2014. Fifteen-year global time series of satellite-derived fine particulate matter. Environ Sci Technol 48:11109–11118.

Brauer M, Amann M, Burnett RT, Cohen A, Dentener F, Ezzati M, et al. 2012. Exposure assessment for estimation of the global burden of disease attributable to outdoor air pollution. Environ Sci Technol 46:652–660.

Crouse DL, Peters PA, van Donkelaar A, Goldberg MS, Villeneuve PJ, Brion O, et al. 2012. Risk of nonaccidental and cardiovascular mortality in relation to long-term exposure to low concentrations of fine particulate matter: a Canadian national-level cohort study. Environ Health Perspect 120:708–714; doi: 10.1289/ehp.1104049.

Duncan BN, Prados AI, Lamsal LN, Liu Y, Streets DG, Gupta P, et al. 2014. Satellite data of atmospheric pollution for U.S. air quality applications: examples of applications, summary of data end-user resources, answers to FAQs, and common mistakes to avoid. Atmos Environ 94:647–662.

Guan D, Su X, Zhang Q, Peters GP, Liu Z, Lei Y, et al. 2014. The socioeconomic drivers of China’s primary PM2.5 emissions. Environ Res Lett 9:024010; doi: 10.1088/1748-9326/9/2/024010.

Hsu NC, Gautam R, Sayer AM, Bettenhausen C, Li C, Jeong MJ, et al. 2012. Global and regional trends of aerosol optical depth over land and ocean using SeaWiFS measurements from 1997 to 2010. Atmos Chem Phys 12:8037–8053.

Hsu NC, Jeong MJ, Bettenhausen C, Sayer AM, Hansell R, Seftor C, et al. 2013. Enhanced Deep Blue aerosol retrieval algorithm: the second generation. J Geophys Res Atmos 118:9296–9315.

Hu X, Waller LA, Al-Hamdan MZ, Crosson WL, Estes MG Jr, Estes SM, et al. 2013. Estimating ground-level PM2.5 concentrations in the southeastern US using geographically weighted regression. Environ Res 121:1–10.

Hu X, Waller LA, Lyapustin A, Wang Y, Al-Hamdan MZ, Crosson WL, et al. 2014a. Estimating ground-level PM2.5 concentrations in the Southeastern United States using MAIAC AOD retrievals and a two-stage model. Remote Sens Environ 140:220–232.

Hu X, Waller LA, Lyapustin A, Wang Y, Liu Y. 2014b. 10-year spatial and temporal trends of PM2.5 concentrations in the southeastern US estimated using high-resolution satellite data. Atmos Chem Phys 14:6301–6314.

Hu X, Waller LA, Lyapustin A, Wang Y, Liu Y. 2014c. Improving satellite-driven PM2.5 models with MODIS fire counts in the southeastern U.S. J Geophys Res Atmos 119:11375–11386.

Kloog I, Chudnovsky AA, Just AC, Nordio F, Koutrakis P, Coull BA, et al. 2014. A new hybrid spatio-temporal model for estimating daily multi-year PM2.5 concentrations across northeastern USA using high resolution aerosol optical depth data. Atmos Environ 95:581–590.

Kloog I, Koutrakis P, Coull BA, Lee HJ, Schwartz J. 2011. Assessing temporally and spatially resolved PM2.5 exposures for epidemiological studies using satellite aerosol optical depth measurements. Atmos Environ 45:6267–6275.

Lee HJ, Liu Y, Coull BA, Schwartz J, Koutrakis P. 2011. A novel calibration approach of MODIS AOD data to predict PM2.5 concentrations. Atmos Chem Phys 11:7991–8002.

Levy RC, Mattoo S, Munchak LA, Remer LA, Sayer AM, Patadia F, et al. 2013. The Collection 6 MODIS aerosol products over land and ocean. Atmos Meas Tech 6:2989–3034.

Liu Y. 2014. Monitoring PM2.5 from space for health: past, present, and future directions. EM (Pittsburgh Pa) 6:6–10.

Liu Y, Paciorek CJ, Koutrakis P. 2009. Estimating regional spatial and temporal variability of PM2.5 concentrations using satellite data, meteorology, and land use information. Environ Health Perspect 117:886–892; doi: 10.1289/ehp.0800123.

Liu Y, Sarnat JA, Kilaru V, Jacob DJ, Koutrakis P. 2005. Estimating ground-level PM2.5 in the eastern United States using satellite remote sensing. Environ Sci Technol 39:3269–3278.

Lo K, Wang MY. 2013. Energy conservation in China’s Twelfth Five-Year Plan period: continuation or paradigm shift? Renew Sust Energ Rev 18:499–507.

Lucchesi R. 2013. File Specification for GEOS-5 FP (Forward Processing). GMAO Office Note No. 4 (Version 1.0). Available:​hesi617.pdf [accessed 9 July 2015].

Ma Z, Hu X, Huang L, Bi J, Liu Y. 2014. Estimating ground-level PM2.5 in China using satellite remote sensing. Environ Sci Technol 48:7436–7444.

Madrigano J, Kloog I, Goldberg R, Coull BA, Mittleman MA, Schwartz J. 2013. Long-term exposure to PM2.5 and incidence of acute myocardial infarction. Environ Health Perspect 121:192–196; doi: 10.1289/ehp.1205284.

Pope CA III, Dockery DW. 2006. Health effects of fine particulate air pollution: lines that connect. J Air Waste Manage Assoc 56:709–742.

Puttaswamy SJ, Nguyen HM, Braverman AJ, Hu X, Liu Y. 2014. Statistical data fusion of multi-sensor AOD over the continental United States. Geocarto Int 29:48–64.

Remer LA, Kaufman YJ, Tanré D, Mattoo S, Chu DA, Martins JV, et al. 2005. The MODIS aerosol algorithm, products, and validation. J Atmos Sci 62:947–973.

van Donkelaar A, Martin RV, Brauer M, Boys BL. 2015. Use of satellite observations for long-term exposure assessment of global concentrations of fine particulate matter. Environ Health Perspect 132:135–143; doi: 10.1289/ehp.1408646.

van Donkelaar A, Martin RV, Brauer M, Kahn R, Levy R, Verduzco C, et al. 2010. Global estimates of ambient fine particulate matter concentrations from satellite-based aerosol optical depth: development and application. Environ Health Perspect 118:847–855; doi: 10.1289/ehp.0901623.

Weatherhead EC, Reinsel GC, Tiao GC, Meng XL, Choi D, Cheang WK, et al. 1998. Factors affecting the detection of trends: statistical considerations and applications to environmental data. J Geophys Res Atmos 103:17149–17161.

Xu P, Chen Y, Ye X. 2013. Haze, air pollution, and health in China. Lancet 382:2067; doi: 10.1016/S0140-6736(13)62693-8.

Xue B, Mitchell B, Geng Y, Ren W, Müller K, Ma Z, et al. 2014. A review on China’s pollutant emissions reduction assessment. Ecol Indic 38:272–278.

Yao L, Lu N. 2014. Spatiotemporal distribution and short-term trends of particulate matter concentration over China, 2006–2010. Environ Sci Pollut Res Int 21:9665–9675.

Yuan J, Kang J, Yu C, Hu Z. 2011. Energy conservation and emissions reduction in China—progress and prospective. Renew Sust Energ Rev 15:4334–4347.

Zhao X, Zhang X, Xu X, Xu J, Meng W, Pu W. 2009. Seasonal and diurnal variations of ambient PM2.5 concentration in urban and rural environments in Beijing. Atmos Environ 43:2893–2900.

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