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2528 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013 Retrieval of the Haze Optical Thickness in North China Plain Using MODIS Data Shenshen Li, Liangfu Chen, Xiaozhen Xiong, Jinhua Tao, Lin Su, Dong Han, and Yang Liu Abstract—China’s industrialized regions have seen increasing occurrence of heavy haze caused by severe particle pollution. However, aerosol retrieval under these circumstances is often ex- cluded from NASA’s Moderate Resolution Imaging Spectrometer (MODIS) aerosol products due to cloud mask and suspected high surface reflectance. An algorithm to retrieve the haze aerosol optical thickness (HAOT) is developed using MODIS data to supplement the current MODIS retrieval algorithm. This method includes 1) haze identification, 2) the generation of a surface reflectance database using MODIS data in hazy conditions, and 3) the development of haze aerosol models with four aerosol com- ponents simulated by a global 3-D atmospheric chemical transport model (GEOS-Chem). This algorithm was used in combination with the MODIS dense dark vegetation algorithm to retrieve 1 km HAOT over North China Plain from March to September of 2008. The values of the retrieved HAOT values are mostly between 0.7–3, with a correlation coefficient of 0.82 with the Aerosol Robotic NETwork observations and a 19% mean relative differ- ence. Retrieval uncertainties associated with the errors in haze detection, surface reflectance, and haze models were analyzed using ground measurements. Index Terms—Aerosol model, GEOS-Chem, haze aerosol opti- cal thickness (HAOT), Moderate Resolution Imaging Spectrome- ter (MODIS), surface reflectance. Manuscript received August 31, 2011; revised February 7, 2012 and May 8, 2012; accepted July 10, 2012. Date of publication October 10, 2012; date of current version April 18, 2013. This work was supported by the National Natu- ral Science Foundation of China for Young Scholar (Grant 41101400), National Natural Science Foundation of China for Key Program (Grant 41130528), and Opening Foundation of State Key Laboratory of Remote Sensing Science of China (Grant OFSLRSS201103 and Grant OFSLRSS201201). The works of S. Li and Y. Liu were supported in part by the MISR science team at the Jet Propulsion Laboratory led by Dr. David Diner (subcontract 1363692) and by NASA Applied Science Program managed by John Haynes (agency grant NNX09AT52G, Grant PI: Y. Liu). S. Li is with the State Key Laboratory of Remote Sensing Science, jointly sponsored by the Institute of Remote Sensing Applications of Chinese Academy of Sciences and Beijing Normal University, Beijing 100101, China and also with the Rollins School of Public Health, Emory University, Atlanta, GA 30322 USA (e-mail: [email protected]). L. Chen, J. Tao, L. Su, and D. Han are with the State Key Laboratory of Remote Sensing Science, jointly sponsored by the Institute of Remote Sensing Applications of Chinese Academy of Sciences and Beijing Normal University, Beijing 100101, China (e-mail: [email protected]; [email protected]; [email protected]; [email protected]). X. Xiong is with the NOAA/NESDIS/Center for Satellite Applications and Research, Camp Springs, MD 20746 USA (e-mail: [email protected]). Y. Liu is with the Rollins School of Public Health, Emory University, Atlanta, GA 30322 USA (e-mail: [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TGRS.2012.2214038 I. I NTRODUCTION T HE NORTH China Plain, covering an area of about 409 500 km 2 , is the largest alluvial plain of China. This re- gion includes a cluster of large cities including Beijing, Tianjin, and Tangshan, and is one of the most densely populated areas in the world. The rapid economic growth and associated increase in fossil fuel consumption have caused a steady increase in particle concentrations, resulting in more frequent hazy days. Heavy haze has a large impact on the climate change [1] and environment. Haze also reduces the atmospheric visibility, re- sulting in traffic accidents and flight delays. The brownish haze consists of a mixture of anthropogenic sulfate, nitrate, organics, black carbon and fly ash particles, and natural aerosols such as sea salt and mineral dust [2]. In addition, fine particles have been linked to various adverse health outcomes such as child- hood asthma, chronic obstructive pulmonary disease (COPD), bronchitis [3] and premature death [4]. The chemical and physical characteristics of haze in East Asia are commonly measured using ground measurements of particle concentrations and speciation, collocated with meteo- rological parameters [5], [6]. Ground-based lidars have been used to study the vertical structure of the haze [7]. However, point measurements lack the spatial coverage that is necessary to describe the spatial variability of regional haze. Given its broad coverage, satellite remote sensing can help to charac- terize haze’s spatial variability. With two sensors in orbit, and a swath width of over 2000 km providing nearly daily global coverage, MODIS is a candidate. For example, Lee et al. [8] used data from NASA’s MODIS sensors to study two haze events in Korea. Although satellite-measured AOT represents column averaged properties, they determined that high values of AOT corresponded to high values of PM 10 concentrations at the surface. Numerous other studies have successfully used the MODIS aerosol product to study particle concentration at the surface [9]. The MODIS operational “dark-target” aerosol retrieval algo- rithm (the dense dark vegetation (DDV) algorithm) is designed to infer clear-sky aerosol properties over land surfaces that have low values of surface reflectance in parts of the visible (VIS) and short-wave infrared (SWIR) spectrum. This algo- rithm removes the surface impact assuming a relationship of surface reflectance between the 2.1 μm band and the VIS bands (i.e., the “VISvs2.1” ratios). The VISvs2.1 surface reflectance relationship is parameterized as a function of both NDVI and scattering angle [10]. Since the impact of aerosol in the SWIR band is negligible, the surface reflectance in this band can be easily estimated. Then, the AOT could be derived by searching 0196-2892/$31.00 © 2012 IEEE

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Page 1: Retrieval of the Haze Optical Thickness in North China ...web1.sph.emory.edu/remote-sensing/my_papers/Li... · surface reflectance between the 2.1 μm band and the VIS bands (i.e.,

2528 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013

Retrieval of the Haze Optical Thickness inNorth China Plain Using MODIS Data

Shenshen Li, Liangfu Chen, Xiaozhen Xiong, Jinhua Tao, Lin Su, Dong Han, and Yang Liu

Abstract—China’s industrialized regions have seen increasingoccurrence of heavy haze caused by severe particle pollution.However, aerosol retrieval under these circumstances is often ex-cluded from NASA’s Moderate Resolution Imaging Spectrometer(MODIS) aerosol products due to cloud mask and suspected highsurface reflectance. An algorithm to retrieve the haze aerosoloptical thickness (HAOT) is developed using MODIS data tosupplement the current MODIS retrieval algorithm. This methodincludes 1) haze identification, 2) the generation of a surfacereflectance database using MODIS data in hazy conditions, and3) the development of haze aerosol models with four aerosol com-ponents simulated by a global 3-D atmospheric chemical transportmodel (GEOS-Chem). This algorithm was used in combinationwith the MODIS dense dark vegetation algorithm to retrieve 1 kmHAOT over North China Plain from March to September of 2008.The values of the retrieved HAOT values are mostly between0.7–3, with a correlation coefficient of 0.82 with the AerosolRobotic NETwork observations and a 19% mean relative differ-ence. Retrieval uncertainties associated with the errors in hazedetection, surface reflectance, and haze models were analyzedusing ground measurements.

Index Terms—Aerosol model, GEOS-Chem, haze aerosol opti-cal thickness (HAOT), Moderate Resolution Imaging Spectrome-ter (MODIS), surface reflectance.

Manuscript received August 31, 2011; revised February 7, 2012 and May 8,2012; accepted July 10, 2012. Date of publication October 10, 2012; date ofcurrent version April 18, 2013. This work was supported by the National Natu-ral Science Foundation of China for Young Scholar (Grant 41101400), NationalNatural Science Foundation of China for Key Program (Grant 41130528), andOpening Foundation of State Key Laboratory of Remote Sensing Science ofChina (Grant OFSLRSS201103 and Grant OFSLRSS201201). The works ofS. Li and Y. Liu were supported in part by the MISR science team at theJet Propulsion Laboratory led by Dr. David Diner (subcontract 1363692) andby NASA Applied Science Program managed by John Haynes (agency grantNNX09AT52G, Grant PI: Y. Liu).

S. Li is with the State Key Laboratory of Remote Sensing Science,jointly sponsored by the Institute of Remote Sensing Applications of ChineseAcademy of Sciences and Beijing Normal University, Beijing 100101, Chinaand also with the Rollins School of Public Health, Emory University, Atlanta,GA 30322 USA (e-mail: [email protected]).

L. Chen, J. Tao, L. Su, and D. Han are with the State Key Laboratory ofRemote Sensing Science, jointly sponsored by the Institute of Remote SensingApplications of Chinese Academy of Sciences and Beijing Normal University,Beijing 100101, China (e-mail: [email protected]; [email protected];[email protected]; [email protected]).

X. Xiong is with the NOAA/NESDIS/Center for Satellite Applications andResearch, Camp Springs, MD 20746 USA (e-mail: [email protected]).

Y. Liu is with the Rollins School of Public Health, Emory University, Atlanta,GA 30322 USA (e-mail: [email protected]).

Color versions of one or more of the figures in this paper are available onlineat http://ieeexplore.ieee.org.

Digital Object Identifier 10.1109/TGRS.2012.2214038

I. INTRODUCTION

THE NORTH China Plain, covering an area of about409 500 km2, is the largest alluvial plain of China. This re-

gion includes a cluster of large cities including Beijing, Tianjin,and Tangshan, and is one of the most densely populated areas inthe world. The rapid economic growth and associated increasein fossil fuel consumption have caused a steady increase inparticle concentrations, resulting in more frequent hazy days.Heavy haze has a large impact on the climate change [1] andenvironment. Haze also reduces the atmospheric visibility, re-sulting in traffic accidents and flight delays. The brownish hazeconsists of a mixture of anthropogenic sulfate, nitrate, organics,black carbon and fly ash particles, and natural aerosols such assea salt and mineral dust [2]. In addition, fine particles havebeen linked to various adverse health outcomes such as child-hood asthma, chronic obstructive pulmonary disease (COPD),bronchitis [3] and premature death [4].

The chemical and physical characteristics of haze in EastAsia are commonly measured using ground measurements ofparticle concentrations and speciation, collocated with meteo-rological parameters [5], [6]. Ground-based lidars have beenused to study the vertical structure of the haze [7]. However,point measurements lack the spatial coverage that is necessaryto describe the spatial variability of regional haze. Given itsbroad coverage, satellite remote sensing can help to charac-terize haze’s spatial variability. With two sensors in orbit, anda swath width of over 2000 km providing nearly daily globalcoverage, MODIS is a candidate. For example, Lee et al. [8]used data from NASA’s MODIS sensors to study two hazeevents in Korea. Although satellite-measured AOT representscolumn averaged properties, they determined that high valuesof AOT corresponded to high values of PM10 concentrations atthe surface. Numerous other studies have successfully used theMODIS aerosol product to study particle concentration at thesurface [9].

The MODIS operational “dark-target” aerosol retrieval algo-rithm (the dense dark vegetation (DDV) algorithm) is designedto infer clear-sky aerosol properties over land surfaces thathave low values of surface reflectance in parts of the visible(VIS) and short-wave infrared (SWIR) spectrum. This algo-rithm removes the surface impact assuming a relationship ofsurface reflectance between the 2.1 μm band and the VIS bands(i.e., the “VISvs2.1” ratios). The VISvs2.1 surface reflectancerelationship is parameterized as a function of both NDVI andscattering angle [10]. Since the impact of aerosol in the SWIRband is negligible, the surface reflectance in this band can beeasily estimated. Then, the AOT could be derived by searching

0196-2892/$31.00 © 2012 IEEE

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LI et al.: RETRIEVAL OF THE HAZE OPTICAL THICKNESS 2529

the precomputed lookup tables correspond to different aerosolmodels [10]–[12].

However, there are cases where NASA-DDV algorithm can-not be applied, including conditions in which the 2.1 μm-bandreflectance is so large (> 0.25) that it violates the assumption of“dark.” This may happen because the surface is bright, but alsomight happen when there is a heavy loading of large-particledust particles [13], [14]. Since dust is often a component ofhaze in the region, the NASA-DDV algorithm is not very useful.Moreover, the thick aerosol layer over a pixel can completelyobscure the surface features, causing the “VISvs2.1” surfacereflectance relationship used in the DDV algorithm to be in-applicable [14]–[16]. Another difficulty is that aerosol sizedistribution and chemical composition during a haze event areoften different from less polluted days [17], [18], and the defaultaerosol models included in the DDV algorithm may not besuitable. In recent years, atmospheric chemistry models havebeen shown to be able to improve satellite’s ability to estimateground level particle concentrations [19]. A few studies havedemonstrated that the global 3-D tropospheric chemistry andtransport model data can significantly improve the MODIS’scapability of AOT retrieval [14], [20].

In this analysis, we present the development and validationof an AOT retrieval method for heavy haze events. Section IIprovides the description of the algorithm, which includes theidentification of the haze, treatment of the surface reflectance,and the use of the haze aerosol model. Section III gives twoexamples of the retrieved haze AOT (HAOT) distribution inNorth China Plain in the spring and summer of 2008, thevalidation of this algorithm by using ground-based observa-tions in Beijing, and the comparison with the MODIS DDVand Deep Blue product. Section IV analyzes the retrievingerrors resulted from pixels identification, surface reflectiv-ity, and aerosol model assumptions. Section V provides theconclusion.

II. DATA AND METHOD

Kaufman et al. [10]–[12] introduced the strategy for retriev-ing aerosol over land from MODIS. The top of the atmospherereflectance (TOA) ρTOA at a particular wavelength can beapproximated by

ρTOA(μs, μv, φ) = ρ0(μs, μv, φ) +T (μs)T (μv)ρs(μs, μv, φ)

[1− ρs(μs, μv, φ)S](1)

where ρ0 is the atmosphere path reflectance, T is the trans-mission function describing the atmospheric effect on upwardand downward reflectance, S is the “atmosphere backscatter-ing ratio,” and ρs is the angular “surface reflectance.” Theseparameters (ρ0, T , and S) are functions of solar zenith angle,satellite zenith angle, and solar/satellite relative azimuth angles(μs, μv, φ). Except for the surface reflectance, each term onthe right-hand side of (1) is a function of the aerosol type andAOT. The goal of our HAOT retrieval is to make the mostappropriate assumptions about the surface reflectance and theaerosol model.

A. Surface Reflectance

The spatial and temporal features of the optical propertiesof land surface and aerosols are significantly different. Landsurface is highly variable in space and changes little over a shortperiod, whereas atmospheric aerosols can change rapidly overtime but vary spatially on a larger scale of a few kilometersto tens of kilometers [21]. A haze event in North China Plaintypically lasts less than one week. It usually occurs on asunny day and forms as the air pollution worsens, followed byrapid visibility deterioration [22]. During this period, if thereis no rain or snow, we can assume the surface reflectance inVIS wavelengths varies very slightly [23]. Moreover, since thesurface contribution becomes less important due to high aerosolloading, we can also assume that the retrieval can tolerate slightsurface reflectance variation during the period of a few days.Therefore, it is reasonable to use the surface conditions in thenearest low AOT days to represent surface conditions in thehaze days. Based on these assumptions, the adjacent MODISsurface reflectance product reported in MOD09 was used forHAOT retrieval. High-level MODIS land products are gener-ated if there are enough clear-sky observations available for aperiod. To minimize angular effects due to the non-Lambertiancharacteristic of the surface, we only selected pixels with lowerview angle (< 30◦ [24]). The surface reflectance in pixels withlarger view angle is derived from the MODIS bidirectional re-flectance distribution function (BRDF) product (MOD43). TheMOD43 product provides a set of coefficients that can be usedfor predicting reflectance at any given solar-viewing geometry.The surface bidirectional reflectance R is described as follows:

R(μs, μv, φ) = fiso + fgeoKgeo(μs, μv, φ)+ fvolKvol(μs, μv, φ) (2)

where Kvol and Kgeo are volume and geometric scatter-ing kernels. A suitable expression for Kvol was derived byRoujean et al. [25], while a suitable expression for Kgeo is theLiSparse non-reciprocal kernel [26], and they both are functionsof solar zenith angle, satellite zenith angle, and solar/satelliterelative azimuth angles (μs, μv, φ). fiso, fgeo, and fvol are threeparameters and closely related to the biomass such as leaf areaindex, Lambertian reflectance, sunlit crown reflectance, andviewing and solar angles. The MOD09 and MOD43 productsare generated using 8 days and 16 days of atmospherically cor-rected MODIS data on low-AOT days, respectively. However,if there are not enough cloud-free observations (e.g., multidayhaze or cloudy events) to generate high quality products, we usethe contemporaneous period of previous years. Based on theseconsiderations, we created a surface reflectance database using2006 ∼ 2008 MODIS surface products.

Surface reflectance is wavelength dependent, with the valuesin the MODIS blue band for vegetated surfaces lower than otherVIS wavelength. Some studies showed that there is a weakersurface BRDF effect over vegetated areas for blue wavelength[27], [28]. Here, we also use the blue wavelength surface re-flectance for HAOT retrieval. Unlike the MODIS “Deep Blue”algorithm which is designed only for bright surfaces [24], [27],we mainly focus on high AOT events. The error associated tochanging surface condition will be discussed in later sections.

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2530 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013

B. Aerosol Model

Over the North China Plain, haze is mainly composed offine particles of anthropogenic sources often occurring duringsummer monsoons and dust particles brought by spring duststorms [22], [29]. Hygroscopic particle growth can also alteraerosol optical properties quickly [30]. The DDV approachdesignates the aerosol models according to the AEROENTglobal classification. Despite the Aerosol Robotic NETwork(AERONET) has been grown rapidly over 100 sites worldwide,no observations were available in most regions over East China.Therefore, it is important to design an appropriate haze aerosolmodel for HAOT retrieval.

The haze aerosol model in our study are generated froma vector Second Simulation of a Satellite Signal in the SolarSpectrum (6S) radiative transfer code [31], which allows cus-tomized aerosol model with user-defined different particulatecomponents. The vector 6S code also accounts for polarizationto avoid substantial retrieval errors in blue wavelength [32]. Al-though the aerosol model can be estimated by ground observa-tions [33], monitoring networks are sparse in China. Instead, weuse the GEOS-Chem model to generate the haze aerosol model.The GEOS-Chem model (v8.3.2) can estimate sulfate, nitrate,ammonium, dust, carbon, and sea-salt aerosol mixing ratios(ppbv) at 3-h temporal resolution, 2◦ latitude × 2.5◦ longitudehorizontal resolutions, and 37 vertical layers. Here, we use(3)–(6) to classify the different simulations into the dust-like,water-soluble, soot, and sea-salt components

[Dust-like]=[DST1]+[DST2]+[DST3] (3)

[Water − Soluble]=fSO−4(RH)

[SO−

4

]+fNH+

4(RH)

[NH+

4

]

+fNO−3(RH)

[NO−

3

]+[OCPI] (4)

[Soot]=[BCPO]+[BCPI] (5)

[Oceanic]=fSALA(RH)[SALA] (6)

where the [DST1] to [DST3] are dust particles with effectiveradii ranging from 0.7 μm to 2.4 μm; the [SO−

4 ] (sulfate), [NO−3 ]

(nitrate) and [NH+4 ] (ammonium) are the main components

of water-soluble aerosols. [OCPI], [BCPO], and [BCPI]are hydrophilic organic carbon aerosol, hydrophobic, and hy-drophilic black carbon aerosol, respectively. [SALA] is theaccumulation mode sea salt aerosol. 3-D relative humidity (RH)fields are directly obtained from the GEOS-Chem simulations.The aerosol size growth fx(RH) for the specie (x) is based onthe equation of droplet growth factor described in Tang et al.[34] and the particle hygroscopicity study in North China Plain[30]. Tracer mixing ratios in each layer are integrated to thecolumn aerosol information using the layer height. Applicationof the GEOS-Chem simulations in the North China Plain,and the validation of our aerosol model with ground-basedobservations will be discussed the following sections.

C. Haze Detection

A haze event is defined by World Meteorological Organiza-tion (2005) [35], as having 1) less than 10 km daily averagevisibility, excluding any other special events leading to low

TABLE IMODIS USED BANDS AND THRESHOLDS FOR HAZE DETECTION

visibility, and 2) less than 80% daily RH. The main challengeof haze detection is to distinguish haze from bright targets suchas non-vegetated surface, fog, low cloud, and thin cirrus. In theMODIS DDV algorithm, the non-cloud 500 m × 500 m pixelsare further checked for their brightness, and 50% among thebrightest pixels at 0.66 μm in each 10 km × 10 km scene arediscarded. However, note that some of these bright pixels maybe the haze pixels we would like to retrieve.

As a proof-of-concept analysis, we selected an exampleperiod from March 1 to September 30, 2008 to demonstrateour technique of haze identification. During this period, thereare 129 record-days available in the AERONET Level 2 dataset of Beijing and Xianghe stations. According to the localmeteorological data in Beijing International Airport and BeijingAtmosphere Super Site (39.9◦ N, 116.1◦ E), there are 62 out ofthe 129 days when visibility was below 10 km and RH belowthan 80%, roughly corresponding to AERONET/AOT greaterthan 0.7. We randomly selected six (10%) haze events to ana-lyze the TOA reflectance, brightness temperature in differentMODIS wavelengths, and their combinations. The choice ofMODIS bands is based on the spectral characterizers of haze,cloud, and regular aerosol. According to the analysis of thesehaze cases and literature on cloud detection [36]–[39], we es-tablished group thresholds to maximize reliable haze detection(Table I).

We used the near-infrared channels (e.g., R2.1), the low-levelwater vapor strong absorption bands (e.g., R0.936), and ratios ofreflectance (e.g., R0.87/R0.66, R0.936/R0.87) to distinguish thehaze from underlying land surfaces in each 1 km × 1 km box.Because haze is closer to the ground than clouds, the reflectancein VIS channels (e.g., R0.47, R0.66) for haze are usually lower

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LI et al.: RETRIEVAL OF THE HAZE OPTICAL THICKNESS 2531

Fig. 1. Flow chart of our AOT retrieval algorithm. The first step in the HAOT retrieval is to detect cloud, haze, and dark pixels (Section II-C). The second stepis to generate atmospheric parameters from GEOS-Chem (Section II-B). These atmospheric parameters, along with the surface reflectance from MODIS product(Section II-A), are used to model TOA reflectance. The third step is to scale AOTs until modeled reflectance match MODIS reflectance.

than those for low thick clouds, while the brightness temper-atures for haze are higher than cirrus in infrared (e.g., BT11,BT13.9) and mid-infrared (e.g., BT3.7) channels. In Table I,the haze distribution is only generated when the dependenceof thresholds all matched. The errors related to using thesethresholds to identify haze distribution will be analyzed in thefollowing sections.

D. Diagram of the HAOT Retrieval

Fig. 1 illustrates the main steps of AOT retrieval algorithmon haze days. This algorithm is running on a pixel-by-pixelbasis. The relevant Level 1B data include calibrated spectralreflectance and the associated geolocation information. TheTOA reflectance were corrected for water vapor and ozoneabsorption followed MODIS DDV approach [10] by using theNCEP data, and organized into nominal 1 km × 1 km pixels.

1) The first step in our HAOT retrieval is to detect cloud,haze, and dark pixels. The cloud mask is generated fromthe MODIS cloud product (MOD35) and the spatialvariability of the 0.47 μm and 1.38 μm channel re-flectance [10]. The haze detection algorithm is describedin Section II-C. To minimize the uncertainty of surfacereflectance, only the pixels with the reflectance lowerthan 0.15 in 2.1 μm channel are masked as dark targets[33]. Cloud pixels are discarded, dark target pixels areprocessed using the operational MODIS DDV algorithm,haze pixels are retrieved using our HAOT algorithm. If

haze happens on dark vegetated areas, we process it ashaze pixels instead of using the DDV “VISvs2.1” surfacereflectance relationship.

2) The second step is to generate atmospheric parametersincluding ρ0 (path reflectance), S (backscattering radio),and T (upward total transmission). Unlike the traditionalLUT approach [10], we run the 6S radiative transfer codefor each pixel. The input to 6S code includes the initialAOTs (τ0.55 = 0.01, 0.25, 0.5, 1, 1.5, 2, 2.5, and 3), user-defined aerosol model from GEOS-Chem mixing ratios,geometric conditions (month, days, solar, satellite zenithangle, and relative azimuth angles), target height andsensor altitude (satellite level), and spectral conditions ofMODIS et al.

3) The third step is to compute modeled TOA reflectanceusing (1). The min value of y from the cost function (y =|ρTOA∗ − ρTOA|) is selected, then the corresponded ini-tial AOTs are linearly interpolated to repeat Steps 1)and 2). The goal of a successful HAOT retrieval is tofind the modeled TOA reflectance that best matches theMODIS TOA reflectance. In addition to the atmosphereparameters from step 2), the HAOT and DDV algorithmsalso differ in the treatment of surface reflectance. Thesurface reflectance in HAOT algorithm is calculated fromthe most adjacent clear-days MODIS surface product asdescribed in Section II-A, while the DDV algorithm elim-inates the surface impact based on the assumption of a re-lationship between 2.1 μm SWIR band and VIS channels.

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2532 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013

Fig. 2. (a) True-color image of MODIS over North China Plain in March 11, 2008, (b) the distribution of haze, (c) the MODIS 10 km AOT product, and(d) the retrieved 1 km AOT.

III. RESULTS AND VALIDATION

A. Results

To illustrate the results of our HAOT retrieval algorithm, twohaze episodes over North China Plain are used as examples.The first haze episode occurred between March 9 and 13, 2008.According to ground-based observation and local meteorolog-ical records in Beijing, this episode was caused by dust trans-ported to the North China Plain from the Mongolian Plateau.In Fig. 2(a), the true-color satellite images clearly show thedifferent colors between haze, cloud, and the surface. Normally,clouds are white, vegetated surfaces are dark, and haze appearsbrown (inside the red line) to our eyes. The haze distribution[Fig. 2(b)] shows that the haze layer covers a large area overthe densely populated Hebei and Shandong provinces as well

as Beijing and Tianjin metropolitan areas, where operationalTerra MODIS AOT retrieval was not attempted [Fig. 2(c)]. Theretrieved HAOT values range from 0.7 to 3 [Fig. 2(d)]. Overland, the blank areas without HAOT retrieval are due to cloudcover [e.g., left lower corner in Fig. 2(d)], or bright surfacewhere neither the DDV algorithm nor our HAOT algorithmwere applied.

The second haze episode shown here occurred on July 24,2008. The southerly wind brings plenty of polluted fine par-ticles to North China plain from highly industrialized coastalcities, and the air mass over land is blocked by Yanshan andTaihang mountains. The stable atmospheric structure oftencauses severe haze events with reduced visibility. Theseepisodes can last several days until large-scale aerosol scav-enging mechanisms such as precipitation occurs [22], [30]. As

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LI et al.: RETRIEVAL OF THE HAZE OPTICAL THICKNESS 2533

Fig. 3. (a) True-color image of MODIS over North China Plain on July 24, 2008, (b) the distribution of haze, (c) the MODIS 10 km AOT product, and (d) theretrieved 1 km AOT.

shown in Fig. 3(a) and (b), the haze layer covers a large areaincluding parts of Henan, Hebei and Liaoning provinces as wellas Beijing and Tianjin metropolitan areas. The standard TerraMODIS product missed a large portion in the center of the hazelayer [Fig. 3(c)]. Fig. 3(d) depicts the largest HAOT close to 3in Beijing regions.

B. Validation

The MODIS standard AOT products have been validatedagainst data from AERONET around the world and in China[15], and the estimated error is Δτ=±0.05±0.15τ [12]. Thereare two AERONET stations (i.e., Beijing and Xianghe) in NorthChina Plain. As described Section II-C, we use the AERONETLevel 2 data (accessed at http://aeronet.gsfc.nasa.gov) of the

62 recorded haze cases to validate our 1-km HAOT retrievalsfrom Terra-MODIS. The ground observations within 1 h of theTerra satellite overpass were averaged in a 20 km × 20 km box(to avoid the mountain area where haze not frequently occurs)centered around each AERONET site. Fig. 4(a) compares ourretrieved HAOT with AERONET observations.

Linear regression of our retrieved MODIS HAOT against theAERONET observations yields an R2 of 0.82, a mean relativedifference (|τOurWork − τAERONET|/τAERONET) of 19%. Weobtained the haze detection thresholds from 6 (10% of 62) hazecases in Beijing and used the remaining 90% of the data to testthe algorithm. The matched number (n = 49) corresponding tothe total 62 haze cases means 79% haze days are detected byour approach and 61% of data points are within the error rangeof Δτ = ±0.05±0.15τ . The correlation coefficient is higher at

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2534 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013

Fig. 4. (a) Comparison between the MODIS HAOT, (b) the MODIS operational AOT, and the AERONET observations. The two dashed lines (y = 1.15x+0.05; y = 0.85x− 0.05) correspond to the error Δτ = ±0.05± 0.15τ .

greater AOT levels (> 1.5) (No. obs = 20, and 85% data pointsare within the two dashed lines). On the contrary, the relativeerror is larger when the AOTs (τ) < 1, which may be mainlydue to uncertainties in estimated surface reflectance for thinhaze. In comparison, the R2 and relative differences betweenAERONET and MODIS DDV product are 0.65 and 27%, re-spectively. Moreover, the DDV algorithm detects substantiallyless haze cases (29), and there is no retrieval in Deep Blue dataset (Collection 5.1) over North China Plain during this period.

IV. UNCERTAINTY ANALYSIS AND DISCUSSION

The uncertainties in our HAOT algorithm may be attributedto haze detection, surface reflectance estimation, and the con-struction of haze aerosol model. These three factors are dis-cussed in the following sections.

A. Impact of Haze Detection

Since haze is similar to bright targets in reflectance andbrightness temperature in both the VIS and infrared channels,some bright targets such as non-vegetated surfaces could bemisclassified as haze pixels. To minimize the error in hazedetection, we removed pixels with lower AOT value (< 0.7)from haze distribution after the retrievals, because 1) HAOTsare usually larger than 0.7 according to Beijing’s ground-basedobservations, 2) mixing height is usually around 1 km in NorthChina Plain in late morning, indicating there are few casesthat the aerosol is all in a very thin layer near the surface,3) the lower AOTs will lead more uncertainties if using adjacentsurface reflectance for retrieval. Another difficulty is to separateaccurately haze from the thin/low clouds. The identificationof haze refers to the literatures on cloud detection, while inMODIS Cloud Mask products (MOD35), there are four con-fidence levels [37]. Our analysis shows that haze is usuallymisidentified under probably clear and uncertain cloudy condi-tions (0.66 < confidence < 0.95). We also removed the larger

Fig. 5. Surface reflectance over Beijing–Tianjin–Hebei regions inFebruary 2–9 of 2008 derived from MOD09 data. Box “A” is the urbandistinct of Beijing City (116◦12′ − 116◦37′ E, 39◦45′ − 40◦10′ N), Box“B” is the rural distinct of Beijing, Tianjin, and Hebei (116◦45′ − 117◦10′ E,39◦45′ − 40◦10′ N), and Box “C” is in the Yanshan mountain distinct(115◦33′ − 115◦58′ E, 39◦30′ − 39◦55′ N).

cloud optical thickness (OT > 3) from the haze distribution.Because haze detection thresholds are set according to thespecial cases in Beijing, it is likely to cause errors in hazedetection over other areas. Further improvements to large-scalehaze detection are the focus of our future research.

B. Impact of Surface Reflectance on HAOT Retrieval

Some studies show errors of 0.01 in assumed surface re-flectance lead to errors on the order of 0.1 in AOT retrieval[11]. Using the nearest sunny-days reflectance or historical datato replace the haze-day value, the variation of surface conditionand observation geometry will affect the final HAOT results.To examine the impact of surface reflectance, we selected three50 km × 50 km boxes in the Beijing-Tianjin-Tangshan regionover North China Plain, which represent three main surface

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Fig. 6. Variation of surface reflectance in blue band over north China plain in the year of (a) 2006, (b) 2007, and (c) 2008; the difference of surface reflectancein adjacent 8 days in (d) 2006, (e) 2007, and (f) 2008; and the variation of surface reflectance in different years of (g) 2006–2007, (h) 2007–2008.

types including urban (box A), rural (box B) district, andmountain (box C), (Fig. 5). The historical surface reflectancedata from MODIS MOD09 8-days products from 2006 to 2008were used to check the variation of surface reflectance in blueband (Fig. 6).

As shown in Fig. 6(a)–(c), the blue band (0.47 μm) surfacereflectance from 2006 to 2008 in this region shows significantseasonal variation, with highest values in winter due to lackof vegetation. As expected from the vegetation cover, urbanareas have the highest surface reflectance (the mean value in3 years is ∼0.058), followed by rural (∼0.052) and mountainareas (∼0.032).

To check the surface variation in a haze event, we calculatethe reflectance difference using the adjacent 8 days MODISdata. Approximately 75% of the reflectance differences are lessthan 0.01, and only 4% is greater than 0.02 [Fig. 6(d)–(f)].The difference is mostly caused by the weather such as snowor rain.

To check the surface variation on the same day from differentyears, we calculate the reflectance difference using the adjacent2 years MODIS product. As expected, the interannual variationis more pronounced than that calculated using adjacent 8 daysfrom the same year, about 29% is greater than 0.01, and 6%is greater than 0.02 [Fig. 6(g) and (h)]. In addition to weather,other factors such as land cover change and vegetation growthchange also contribute to the differences.

To check the surface variation with different view angles,the MCD43 BRDF parameters products from 2006 to 2008were processed using (2). Fig. 7 is the maximum difference ofsurface reflectance when satellite zenith angle changes from 0◦

to 60◦. Approximately 70% of the reflectance differences areless than 0.02, and only 12% is greater than 0.03. As shown inFig. 7, urban and mountain areas give greater non-Lambertianbehavior than rural areas, particularly in winter with sparsevegetation cover, which means the land cover and terrain havea large impact on the BRDF effect [40]. Most of North China

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2536 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 51, NO. 5, MAY 2013

Fig. 7. Maximum difference of surface reflectance (blue band) with view angular variation (0◦–60◦) over (A) urban, (B) rural, and (C) mountain distinct ofBeijing in the year of (a) 2006, (b) 2007, and (c) 2008.

TABLE IIIMPACT OF SURFACE REFLECTANCE (BLUE BAND) ON HAOT

Plain is covered by yellow clay soil and crops including wheat,rice, corn, and cotton. Previous BRDF experiments in China[41] showed within 0.02 errors to most vegetation and soiltypes in blue band, and the observation geometry accounts for< 40% absolute errors to trees [42]. Moreover, the majority ofNorth China Plain has an elevation of less than 50 m abovesea level, which has a weak surface BRDF effect comparedto more complex terrains. In this analysis, because our hazecases all occurred from March to September, both mountain andurban areas show lower surface reflectance and smaller non-Lambertian behavior during this period. Therefore, the totalerrors of surface reflectance due to the impact of view anglesare likely to be less than 0.03.

To test our hypothesis, we examined the two cases onMarch 11 and July 24, 2008 discussed in Section III-A, wherethere are more than 30 000 haze pixels. Here, we set the changeof surface reflectance in 0.001, 0.005, 0.01, 0.02, 0.03, and 0.05in the retrievals to estimate retrieval errors. The correspondingvariations of HAOT are shown in Table II.

As expected, HAOT is overestimated if reflectance is under-estimated, and vice versa. As HAOT increases from < 1 to> 2.5, the HAOT retrieval error decrease, and the error isinsignificant for thick haze with HAOT > 2. The contributionfrom the surface reflectance becomes less important for theheavier HAOT, and the retrieval can tolerate the surface re-flectance variation with the HAOT increasing.

As shown in Table II, minor changes in surface reflectance(0.001 and 0.005) have almost no impact on HAOT retrieval;the error of ∼0.01 in surface reflectance can lead to ∼0.05retrieval error. Given a reflectance change of 0.03 caused bydifferent surface conditions and observation angles, HAOT re-trieval errors are still within the range of Δτ = ±0.05±0.15τ .Our analysis indicates that the impact of surface reflectance issignificantly lower than that in less polluted conditions becauseof the high HAOT values. If the surface is affected by rain orsnow in adjacent 8 days, land use change in different years, orlarge observation angle changes, the reflectance error will belarger than 0.05 introducing greater uncertainty in HAOT.

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Fig. 8. Volume percentage of (a) dust-like, (b) water-soluble, (c) soot, and (d) oceanic aerosols, which are derived according to the haze records used in thisanalysis. Note the color bar is different in each picture. Black Box is the GEOS-Chem grid around Beijing regions. Two black dots are the location of Beijing andXianghe AERONET sites.

C. Impact of Aerosol Model on HAOT Retrieval

We calculated the volume percentage of four major aerosolcomponents based on GEOS-Chem simulations and fed themto the 6S code. Unlike the traditional predefined look-up tableapproaches, the dynamic atmospheric chemistry and transportmodel data may better reflect the spatiotemporal variability ofaerosols.

As shown in Fig. 8, haze is mainly composed of dust-likeand water-soluble particles and shows strong spatial variabilityover the North China Plain. The aerosol model in the northwestis dominated by dust-like particles, particularly in some semi-arid regions (> 50%). The water soluble aerosol is controlledby the Asian monsoon and is high (> 60%) in the southeastregions. The percentage of soot and sea-salt aerosols are smaller(< 10%). However, one of the deficiencies of the GEOS-Chem model is the coarse horizontal resolution (2◦ latitude ×

2.5◦ longitude). In this analysis, both the clean and hazydays’ aerosol model are simulated by the GEOS-Chem data,so there is no difference between haze and adjacent assumed“dark target” in one grid. In our future work, we will conductGEOS-Chem nested runs (0.5◦ latitude × 0.667◦ longitude) toimprove horizontal resolution.

In order to check the accuracy of GEOS-Chem simulatedmixing ratios, the aerosol model are recalculated based on Li’smethod as

(ρ∗TOA-Blue − ρTOA-Blue)2+(ρ∗TOA-Red − ρTOA-Red)

2 < ε.(7)

This method computes the TOA reflectance at two VISbands, with AERONET AOT observations and different aerosolcomponents as the input to 6S radiative code. The goal of

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successful aerosol model simulation is to find the two mod-eled TOA reflectance (ρ∗TOA-Blue, ρ

∗TOA-Red) that both better

matches the corresponding MODIS-observed TOA reflectance(ρTOA-Blue, ρTOA-Red).

From March to September, 2008, we collected AOT atBeijing and Xianghe AERONET sites (black dots in Fig. 8), andset 5% increments between different components to simulatethe aerosol components. We found the haze aerosol modelin the 62 cases is best characterized by using the volumefractions of ∼35% dust like, ∼60% water soluble, ∼5% soot,and ∼0% oceanic. Correspondingly, the GEOS-Chem’s aerosolvolume percentage in Beijing region (black box in Fig. 8)during this period is 43.4% dust like, 52.7% water soluble, 3.8%soot, and 0.01% oceanic particles. Compared to the ground-based simulations, the fractions of dust-like and water-solubleparticles in the haze model change less than 10%, and thesoot and oceanic particles are almost the same. These smalldiscrepancies will account for < 10% absolute errors for theHAOT retrievals [43]. In addition, many studies [14], [19],[20] have shown the applicability of GEOS-Chem simulations,also indicating that the aerosol model used in our algorithm isacceptable.

V. CONCLUSION

We developed an algorithm to retrieve HAOT at 1 km spatialresolution using various MODIS data under heavy particlepollution conditions. This algorithm assumes that the change ofsurface reflectance is small in a few days before the haze event,and the surface reflectance from the most adjacent clear-dayscan be used to estimate surface contribution. The assumption ofslow changes in land surface is similar to the MAIAC algorithm[23], which using the multi-angle ideas to retrieve AOT andsurface reflectance simultaneously. However, our approach iseasier to combine with the DDV algorithm. For most sunnyconditions, we still use the MODIS DDV algorithm. In fact,our approach resembles the Deep Blue algorithm, but with thefollowing improvements: 1) dynamic surface database, 2) ex-panded coverage to urban areas, and 3) the heavy haze con-ditions. This analysis attempts to make progress on the abovethree items and apply it in North China. Examination of thevariation of the surface reflectance with time and the errorin BRDF on the retrieval of HAOT indicates that using thenearest clear-days’ MODIS surface reflectance product, andeven using that in the same period of the previous year torepresent the reflectance under haze days is usually acceptable.Based on GEOS-Chem simulated aerosol mixing ratios, hazeaerosol models corresponding to different particle composi-tions has been computed using 6S codes. The GEOS-Chemsimulations indicate haze over North China Plain is mainlycomposed of coarse particles from natural dust and water-soluble fine particles. The validation using ground-based mea-surement also shows the haze aerosol model in our algorithm isacceptable.

Comparison with AERONET AOT measurements inBeijing from March to September, 2008 showed better agree-ment between our retrieved HAOT values and ground truth thanoperational MODIS AOT retrievals. In addition, our algorithm

extends the spatial coverage of MODIS AOT into very highAOT values (0.7 ∼ 3.0). This to a large extent avoids the lowsampling bias in high AOT regions, enhancing MODIS’s abilityto monitor particle pollution in many large urban areas in devel-oping countries with frequent severe air pollution episodes dueto dust transport, fossil fuel combustion, and biomass burning.

ACKNOWLEDGMENT

The authors acknowledge the technical support ofDr. Z. Wang, Dr. Z. Wang, Dr. B. He, Dr. Y. Zhang, andDr. M. Zou as well as C. Yu and M. Fan.

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Shenshen Li received the Ph.D. degree in cartogra-phy and geographical information system from theInstitute of Remote Sensing Applications, ChineseAcademy of Sciences, Beijing, China, in 2010.

Currently, he is a Visiting Scholar in the RollinsSchool of Public Health, Emory University, Atlanta,GA. During his Ph.D. studies, his research was fo-cused on the retrieval and validation of haze opticalthickness using MODIS and ground-based measure-ments. At present, he joins the NASA’s project ofimproving satellite aerosol remote sensing data for

air pollution health research, and he is developing the joint retrieval algorithmof aerosol optical properties by using GEOS-Chem and MISR data.

Liangfu Chen received the Ph.D. degree in geogra-phy from the Institute of Remote Sensing and Ge-ographical Information System, Peking University,Beijing, China, in 1999.

Currently, he is a Professor in the Institute ofRemote Sensing Applications, Chinese Academy ofSciences, Beijing, China. His research includes theretrieval and application of atmosphere aerosol andtrace gases based on remote sensing data. Since2004, he has led a 863 project of China “multi-sourcesatellite remote sensing technology of atmospheric

pollution monitoring,” and the Knowledge Innovation Program of ChineseAcademy of Sciences, Beijing.

Xiaozhen Xiong received the M.S. degree in atmo-spheric physics from the Institute of AtmosphericPhysics, Chinese Academy of Sciences, Beijing,China, in 1991, and the Ph.D. degree in atmosphericsciences from the University of Alaska Fairbanks,Fairbanks, in 2000.

Currently, he is a Scientist in the NOAA/NESDIS/Center for Satellite Applications and Research. Hisresearch domain includes radiative transfer mod-els, physical retrieval algorithm development, atmo-spheric CH4, and polar remote sensing.

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Jinhua Tao received the Ph.D degree from theInstitute of Remote Sensing Applications ChineseAcademy of Sciences, Beijing, China, in 2008.

She joined the project of “air quality monitoringin Beijing” team as a Postdoctoral Fellow in theInstitute of Atmospheric Physics Chinese Academyof Sciences, Beijing from 2008 to 2010. She tookcharge of the “Atmospheric Remote Sensing Sys-tem,” which is a national system for monitoringair quality information using environmental satellitedata launched by China. Her current research interest

is to retrieve ground-level particulate matters based on remote sensing andatmospheric models.

Lin Su received the B.S. degree in physics fromJilin Normal University, Siping, China, in 1985,and the Ph.D. degree in opto-electronic engineeringfrom Beijing Institute of Technology, Beijing, China,in 1996.

He joined the Institute of Remote Sensing Appli-cations of Chinese Academy of Sciences, Beijing,China, as an Assistant Professor of the Departmentof Information Obtain in 2001. For the past 10 years,his primary research interest has been in the applica-tions of satellite remote sensing, atmospheric model

simulations, and development of new instrumentation for field application ofremote sensing techniques.

Dong Han received the Ph.D. degree in cartogra-phy and geographical information system from theInstitute of Remote Sensing Applications, ChineseAcademy of Sciences, Beijing, China, in 2010.

Currently, he is a Postdoctoral Fellow in theCollege of Environmental Science and Engineer-ing, Peking University, Beijing, China. For the pastfive years, his primary research interest has beenin retrieval using DOAS with satellite remote sens-ing data, ring effect, and retrieval validation withground-based measurements. His current work is

mainly about the applications of satellite remote sensing, including trace gasesand aerosols in atmosphere.

Yang Liu received the B.S. degree in environmentalengineering from Tsinghua University, Shenzhen,China, in 1997, the M.S. degree in mechanical engi-neering from the University of California, Davis, in1999, and the Ph.D. degree in environmental scienceand engineering from the School of Engineering andApplied Sciences, Harvard University, Boston, MA,in 2004.

He joined the Rollins School of Public Health,Emory University, Atlanta, GA, as an AssistantProfessor of the Department of Environmental and

Occupational Health in 2009. His primary research interest has been in theapplications of satellite remote sensing, atmospheric model simulations, andspatial statistics in air pollution exposure modeling. His current work includesPM exposure modeling in the northeastern U.S. in relation to birth outcomes,an investigation of improving the accuracy satellite-derived PM concentrationsusing spaceborne and ground-based lidar profiles, and study of the climatechange-related health risks in the eastern U.S.