Landsat-8 Satellite and Plan Position Indicator Lidar Observations for Retrieving Aerosol Optical Properties in the Lower Troposphere

Jamrud Aminuddin^{1,2},
Babag Purbantoro^{1,3},
Nofel Lagrosas^{1},
Naohiro Manago^{1},
Hiroaki Kuze^{1}

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1. Introduction

Aerosol exerts impact on radiation balance of the Earth’s atmosphere by modifying cloud characteristics in addition to scattering and absorption of solar radiation [1] . Besides, it affects biogeochemistry of earth materials by providing basis for heterogenic reactions [2] . In spite of these features, the current understanding level of aerosol behavior in the atmosphere is still insufficient for precise and reliable prediction of future climate [1] [3] . For describing aerosol radiative effect, we normally employ parameters such as aerosol optical thickness (AOT), Angstrom exponent, and aerosol extinction coefficient (AEC) [4] [5] . Various schemes have been proposed and tested to retrieve aerosol optical properties by means of ground-based remote sensing instruments [4] .

Concurrent observations with ground-based instruments have been reported including MODerate resolution Imaging Spectroradiometer (MODIS) [6] , Landsat-8 [7] , and Himawari-8 [8] satellite imagery. Although the measurement of backscattering signals by means of lidar equipment can provide information on the spatial distribution information of AEC [9] [10] [11] [12] , very few reports have been made for the lidar data analysis at the time of satellite overpass [4] . Therefore, in the present paper, a novel monitoring technique is proposed and demonstrated for retrieving nearly horizontal distribution of aerosol in the atmospheric boundary layer by combining the data from a plan-position indicator (PPI) lidar and visible images of Operational Land Imager (OLI) onboard Landsat-8 satellite. Also, the data from ground-based, sampling instruments (an integrating nephelometer, an aethalometer, and particle counters) are effectively utilized to derive the boundary condition for solving the lidar equation [13] [14] .

The atmospheric group of Center for Environmental Remote Sensing (CEReS), Chiba University, has developed and operated several lidar systems such as a multi-wavelength lidar system [14] [15] and portable automated lidar system [16] . The most updated system is called atmospheric data collection lidar system that incorporates a plan position indicator (PPI) and a slant-path (SP) lidar [4] [14] [15] [17] . Since the major target of these instruments is the aerosol particles in the atmospheric boundary layer, the elevation angles of these lidars are set to be small (4˚ for PPI and 30˚ for SP). Thus, instead of the far-end boundary conditions usually employed for vertical lidars, here we employ the near-end boundary conditions that are derived from the observations of ground-based sampling instruments. Also, the data from these instruments can provide the value of lidar ratio through the Mie scattering calculation [14] [17] [18] [19] [20] .

The following section of this paper is outlined as follows. In Section 2, the method and formulation are explained. In Section 3, the results are presented and discussed, followed by Section 4 as the conclusion of this paper.

2. Methodology

The observations with ground-based instruments were carried out at Chiba University (35˚37'30'' and 140˚06'14''), located south-east of Tokyo metropolitan area (Figure 1). The results obtained on 1) October 27, 2016, 2) January 31 2017,

Figure 1. Location of Chiba University where the ground-based observations were made.

3) March 20 2017, and 4) May 23 2017 are reported in the present paper, representing the aerosol distributions over the Kanto plain area under nearly cloud-free conditions.

2.1. Sampling Instrument and Mie Scattering Calculation

The real-time data of aerosol particles in the atmospheric boundary layer are obtained using the following instruments routinely operated on the rooftop of the CEReS building (~30 and ~50 m above ground and sea level, respectively): a three-wavelengths (450, 550, and 700 nm) integrating nephelometer (TSI, Model 3563), a seven-wavelengths (370, 470, 520, 590, 660, 880, and 950 nm) aethalometer (Magee Scientific, AE-31), and optical particle counters (OPCs) that cover relatively small (0.08, 0.1, 0.2, 0.3, and 0.5 μm) and relatively large (0.3, 0.5, 1.0, 2.0, and 5.0 μm) particle sizes (Rion, KC-22B, KC-01D and KC-01E). The aerosol extinction coefficient, a_{ext}, can be calculated as a function of wavelength, l, as the sum of scattering and absorption coefficients:

${\alpha}_{ext}\left(\lambda \right)={\alpha}_{sca}\left(\lambda \right)+{\alpha}_{abs}\left(\lambda \right)$ , (1)

where
${\alpha}_{sca}$ and
${\alpha}_{abs}$ are the scattering and absorption coefficients derived from the nephelometer and aethalometer, respectively. The lidar ratio, S_{1}, is defined as the ratio between the extinction (
${\alpha}_{ext}$ ) and backscattering (β) coefficients, and the following Mie scattering formulation can be used to calculate the value of S_{1}:

${S}_{1}=\frac{{\alpha}_{ext}}{\beta}=\frac{{{\displaystyle \int}}_{0}^{\infty}{n}^{\left(\text{model}\right)}\left(r\right){\sigma}_{ext}\text{d}\left(\mathrm{log}r\right)}{{{\displaystyle \int}}_{0}^{\infty}{n}^{\left(\text{model}\right)}\left(r\right){\left(\frac{\text{d}{\sigma}_{sca}}{\text{d}\Omega}\right)}_{\theta =\pi}\text{d}\left(\mathrm{log}r\right)},$ (2)

where r is the particle radius,

${n}^{\left(\text{model}\right)}\left(r\right)=\frac{\text{d}N\left(r\right)}{\text{d}\left(\mathrm{log}r\right)}=\underset{i}{\overset{k}{{\displaystyle \sum}}}\frac{{N}_{i}}{\sqrt{2\pi}\mathrm{log}\sqrt{2\pi}\mathrm{log}{\sigma}_{i}}\mathrm{exp}\left[-\frac{{\left(\mathrm{log}r/{r}_{i}^{\left(m\right)}\right)}^{2}}{2{\left(\mathrm{log}{\sigma}_{i}\right)}^{2}}\right]$ (3)

is the lognormal size distribution (k = 1 for mono-modal and k = 2 for bimodal), and ${\alpha}_{ext}$ and $\text{d}{s}_{sca}/\text{d}\Omega $ are the extinction cross-section and differential cross-section, respectively [13] [17] [20] . The differential cross-section is related to the total scattering cross-section as

$\frac{\text{d}{\sigma}_{sca}}{\text{d}\Omega}={\sigma}_{sca}f\left(\mathrm{cos}\theta \right)$ , (4)

where
$f\left(\mathrm{cos}\theta \right)$ is the scattering phase function. The parameters that are used in the Mie calculation, namely, the mode concentration (N_{i}), mode radius (
${r}_{i}^{(m)}$ ), width (
$\mathrm{log}{\sigma}_{i}$ ), and both the real and imaginary parts of refractive index are determined so as to reproduce the data of ground-sampling instruments (scattering, absorption, and particle size) [14] [17] [18] [19] [20] . Also, the resulting aerosol parameters are used in the radiative transfer calculation for processing the Landsat-8 OLI data.

2.2. PPI Lidar and Its Data Analysis

The PPI lidar, installed at the same roof top of the CEReS building, is based on a diode-laser-pumped Nd:YLF laser operated at 349 nm with output energy of 60 μJ/pulse and 300 Hz pulse repetition rate. A 30-cm diameter Cassegrainian telescope coupled with a flat mirror tilted at ~47˚ is used to collect the backscattered signal, and a photo-multiplier tube (Hamamatsu, H10304-00) and a transient recorder (Licel, TR20-160) are employed for recording the signals. As shown in Figure 2, the whole system including the laser transmitter and telescope section can be rotated up to 360˚ to cover all the horizontal directions. The maximum range of PPI observation is approximately 3 km [14] [17] [21] . The signals are accumulated for 1 min, and with the angular speed of 0.2 deg/s, the 360-deg scan is completed in 30 min to retrieve the spatial distribution of AEC at 349 nm.

The inversion analysis of PPI lidar signals is attained using the Fernald method [4] [15] [22] to obtain AEC on a nearly horizontal plane. The solution of the lidar equation is analytically described as

$\begin{array}{l}{\alpha}_{1}\left(R\right)=-\frac{{S}_{1}\left(R\right)}{{S}_{2}}{\alpha}_{1}\left(R\right)\\ +\frac{{S}_{1}\left(R\right)X\left(R\right)\mathrm{exp}\left\{2{{\displaystyle \int}}_{R}^{{R}_{C}}\left[\frac{{S}_{1}\left({R}^{\prime}\right)X\left({R}^{\prime}\right)}{{S}_{2}}-1\right]{\alpha}_{1}\left({R}^{\prime}\right)\text{d}{R}^{\prime}\right\}}{\frac{X\left({R}_{C}\right)}{\frac{{\alpha}_{1}\left({R}_{C}\right)}{{S}_{1}\left(R\right)}+\frac{{\alpha}_{2}\left({R}_{C}\right)}{{S}_{2}\left(R\right)}}+{{\displaystyle \int}}_{R}^{{R}_{C}}{S}_{1}\left({R}^{\prime}\right)X\left({R}^{\prime}\right)2{{\displaystyle \int}}_{R}^{{R}_{C}}\left[\frac{{S}_{1}\left({R}^{\prime}\right)X\left({R}^{\prime}\right)}{{S}_{2}}-1\right]{\alpha}_{1}\left({R}^{\prime}\right)\text{d}{R}^{\prime}}\end{array}$ (5)

Figure 2. PPI lidar setup. The lidar system can measure the nearly horizontal spatial distribution of AEC in around 30 min.

where R is the range, X(R) = R^{2}P(R) is the range-corrected signal, R_{C} is the reference range, and the subscript 1 (2) refers to aerosol (air molecule) [22] . A single value of S_{1} is assumed for analyzing PPI data. From the general property of Rayleigh scattering of air molecules, S_{2} is assumed to be 8.52 sr [14] [17] . For vertical lidars, it is customary to assume a reference range at an altitude where aerosol distribution is negligibly small. Since this cannot be the case for the current analysis of the PPI lidar, we employ an iterative approach in which the values at R_{C} are adjusted so that the resulting AEC at R = 0 agrees with the value from sampling observations.

2.3. AOT and Angstrom Exponent from Sunphotometer Measurement

The values of AOT and Angstrom exponent are derived from the multi-band observation of a sunphotometer (Prede, PSF-100), routinely operated in CEReS. The measurement is made at the wavelengths of 368, 500, 678, and 778 nm. The Lambert-Beer law coupled with the Langley extrapolation method [5] [23] [24] is used to derive AOT:

${\tau}_{A}\left(\lambda \right)=\frac{\mathrm{ln}{I}_{0}\left(\lambda \right)-\mathrm{ln}I\left(\lambda \right)}{m(\theta )}-{\tau}_{G}\left(\lambda \right)-{\tau}_{R}\left(\lambda \right).$ (6)

Here the variables
${\tau}_{A}$ ,
${\tau}_{G}$ , and
${\tau}_{R}$ represent the optical thickness due to aerosol, absorbing gas (ozone), and Rayleigh scattering, respectively; I_{0} is the extra-terrestrial intensity of solar radiation (dependent on the seasonal change of the Sun-Earth distance), I is the solar radiation intensity measured by the sunphotometer, and m is the air mass dependent on the solar zenith angle, q. The value of I_{0} can be determined by implementing the Langley extrapolation method on a clear-sky day with small aerosol loading [24] .

Furthermore, the information on aerosol size distribution can be inferred from the wavelength dependence of AOT that can be expressed using Angstrom exponent [24] [25] [26] [27] [28] :

$p=-\mathrm{ln}\left[\frac{{\tau}_{A}\left({\lambda}_{2}\right)}{{\tau}_{A}\left({\lambda}_{1}\right)}\right]/\mathrm{ln}\left(\frac{{\lambda}_{2}}{{\lambda}_{1}}\right),$ (7)

which can easily be extended for multi-wavelength fitting. The value of p is the order of unity. The value of Angstrom exponent becomes larger in the condition of the dominance of fine-mode aerosol, while it becomes smaller for the dominance of coarse-mode particles [29] [30] [31] .

2.4. Radiative Transfer Analysis of Landsat-8 Data

Here the satellite measurement of aerosol distribution is studied using images of the OLI sensor onboard the Landsat-8 satellite, since the data provide a fine resolution of 30 m [7] . The significant parameters related to satellite imagery are the pixel value in digital number (DN), radiance (Wm^{−2}∙sr^{−1}∙μm^{−1}), and apparent reflectance (dimensionless). Every satellite has its own empirical equation(s) for converting the DN values to radiance (L_{obs}) and apparent reflectance (ρ_{ap}) as a function of wavelength. For Landsat-8 OLI, the apparent reflectance is calculated using the procedure described elsewhere [7] [32] [33] [34] [35] :

${\rho}_{ap}\left(\lambda \right)=\frac{\pi {d}^{2}}{E\left(\lambda \right)\mathrm{cos}{\theta}_{s}}\times {L}_{obs}\left(\lambda \right),$

${L}_{obs}\left(\lambda \right)=\frac{{L}_{MAX}-{L}_{MIN}}{{Q}_{CALMAX}-{Q}_{CALMIN}}\times \left(DN-{Q}_{CALMIN}\right)+{L}_{MIN}.$ (8)

Here Q_{CALMAX} and Q_{CALMIN} are the maximum and minimum values of the quantized and calibrated pixel value in DN; L_{MAX} and L_{MIN} are the spectral radiance scaled to Q_{CALMAX} and Q_{CALMIN}, respectively. Besides, parameters d, E(λ), and θ_{s} stand for the Sun-Earth distance in astronomical unit (AU), solar irradiance at the top of atmosphere at 1 AU, and solar zenith angle, respectively.

The radiance components detected by a satellite sensor can be given schematically as shown in Figure 3. The value of ground reflectance is affected by spectral signatures of surface coverage such as vegetation, soil, water body, etc.

Figure 3. Radiance components in the radiative transfer formulation considering surface reflectance (ρ), average reflectance (
$\stackrel{\xaf}{\rho}$ ), and atmospheric scattering (star symbols). The parameter θ_{S} is the solar zenith angle. The following six components are illustrated in the figure: L_{gd} (surface reflection of direct solar radiation), L_{gi}_{1} (surface reflection of scattered solar radiation), L_{gi}_{2} (surface reflection of sky radiance influenced by adjacency effect), L_{ps} (path radiance due to single scattering), L_{pm}_{1} (path radiance due to multiple scattering), and L_{pm}_{2} (path radiance including adjacency effect).

Besides, scattering and absorption of air molecules and aerosol particles exert significant influence on the radiance value of each pixel. Therefore, radiative transfer calculation is indispensable for separating the atmospheric effects from the ground-reflected radiance in each satellite scene. In an early work, Chandrasekhar developed a radiative transfer equation where the scattering and absorption processes due to air molecule were considered [35] [36] . The atmospheric and observational parameters have been provided in radiative transfer codes such as LOWTRAN (LOW resolution atmospheric radiance and TRANsmittance) [37] , MODTRAN (MODerate resolution atmospheric TRANsmission) [38] and 6S (Second Simulation of a Satellite Signal in the Solar Spectrum) [39] [40] . These codes have been applied in modeling radiative transfer processes to implement the atmospheric correction of various satellite data [41] [42] [43] [44] [45] . In the present work, we mainly use MODTRAN-5 [38] [42] [45] for the analysis of Landsat-8 OLI imagery.

Here we describe the basic features required for understanding the radiative transfer processes. As indicated in Figure 3, the total radiance at a sensor element, L_{tot}(λ), can be separated into six different components as

${L}_{tot}\left(\lambda \right)={L}_{gd}\left(\rho \right)+{L}_{g{i}_{1}}\left(\rho \right)+{L}_{g{i}_{2}}\left(\rho ,\stackrel{\xaf}{\rho}\right)+{L}_{ps}+{L}_{p{m}_{1}}+{L}_{p{m}_{2}}\left(\stackrel{\xaf}{\rho}\right).$ (9)

Here, L_{gd} and L_{gi} = L_{gi}_{1} + L_{gi}_{2} are the radiance components reflected from the surface directly and indirectly, respectively: only the reflectance of the target pixel, ρ = ρ(λ), is included in L_{gi}_{1}, while the reflectance averaged over adjacent pixels,
$\stackrel{\xaf}{\rho}$ , is also considered for L_{gi}_{2}. The last three terms on the right-hand side of Equation (9) represent path radiance components: L_{ps} and L_{pm}_{1} are the components arising from single and multiple scattering, respectively, whereas the adjacent surface reflection is also considered in L_{pm}_{2}. It is noted that on the right-hand side of Equation (9), the λ dependence of each term has been omitted for the sake of simplicity. The radiance just after the surface scattering (which is assumed to be Lambertian) can be written as

${L}_{g}\left(\lambda \right)=\frac{1}{\pi {d}^{2}}\rho \left(\lambda \right)E\left(\lambda \right)\mathrm{cos}{\theta}_{s}T\left(\lambda ,{\theta}_{s}\right)$ , (10)

where $T\left(\lambda ,{\theta}_{s}\right)$ is the atmospheric transmittance of the incoming solar irradiance [40] . The resulting radiance at the sensor is given as

${L}_{gd}\left(\lambda \right)={L}_{g}\left(\lambda \right)T\left(\lambda ,0\right),$ (11)

where T(λ, 0) is the transmittance when the satellite observation is made toward the nadir direction, as is the case of Landsat-8 OLI. Detailed formulation and modification of the radiative transfer equation including the target reflectance (ρ), average reflectance ( $\stackrel{\xaf}{\rho}$ ), transmittance (T), and some other parameters can be found in a satellite guide and references therein [46] .

The determination of AOT from each pixel of a satellite image can be carried out as follows. In order to implement the radiative transfer simulation on a satellite pixel, the aerosol model has to be specified with the value of AOT, usually in the form of
${\tau}_{A}\left(550\right)={\tau}_{550}$ , the AOT at 550 nm. Once the pixel reflectance (ρ) is known, the value of L_{tot}(λ) can be calculated with the simulation. Then, the value of
${\tau}_{550}$ can be uniquely determined from the condition that L_{tot}(λ) is equal to the observed radiance, L_{obs}(λ), given in Equation (8). Practically, the implementation of this procedure is facilitated by constructing a lookup table, which summarizes the behavior of ρ_{ap} as a function of ρ and
${\tau}_{550}$ . Also, it can be pointed out that by combining Equations (8)-(11), one obtains the following relation between the apparent reflectance and reflectance:

$\begin{array}{l}{\rho}_{ap}\left(\lambda \right)=\frac{\pi {d}^{2}}{E\left(\lambda \right)\mathrm{cos}{\theta}_{s}}{L}_{obs}\left(\lambda \right)=\frac{\pi {d}^{2}}{E\left(\lambda \right)\mathrm{cos}{\theta}_{s}}{L}_{tot}\left(\lambda \right)\\ \text{}=\rho \left(\lambda \right)T\left(\lambda ,{\theta}_{s}\right)T\left(\lambda ,0\right)+\frac{\pi {d}^{2}}{E\left(\lambda \right)\mathrm{cos}{\theta}_{s}}\left({L}_{g}+{L}_{p}\right)\end{array}$ (12)

Here L_{g} and L_{p} stand for the ground reflectance (other than L_{gd}) and atmospheric scattering terms in Equation (9), respectively. When aerosol loading is limited and wavelength is not too short, both of L_{g} and L_{p} become small, representing some remaining contribution from the molecular (Rayleigh) scattering. Therefore, to a good approximation, we obtain

${\rho}_{ap}\left(\lambda \right)\cong \rho \left(\lambda \right)\mathrm{exp}\left[-\left(1+m\right){\tau}_{A}\left(\lambda \right)\right],$ (13)

where m = (cosθ_{s})^{−1} is the air mass. This equation is useful for estimating the value of AOT. Among the nine bands of Landsat-8, band 2 centered at 482 nm is used for the present analysis. The radiance that represents band-i can be calculated as

${L}_{i}=\underset{{\lambda}_{1}}{\overset{{\lambda}_{2}}{{\displaystyle \int}}}{g}_{i}\left(\lambda \right){L}_{tot}\left(\lambda \right)\text{d}\lambda /\underset{{\lambda}_{1}}{\overset{{\lambda}_{2}}{{\displaystyle \int}}}{g}_{i}\left(\lambda \right)\text{d}\lambda $ , (14)

where g_{i}(λ) is the band response function covering the wavelength range from λ_{1} to λ_{2}.

3. Results and Discussion

3.1. Aerosol Characterization Using Ground-Based Instruments

The values of AEC, Angstrom exponent as well as lidar ratio are determined using the data of ground-based instruments at the time of Landsat-8 overpass. Figure 4 shows an example of the results of Mie scattering calculation. The size distribution is fixed to the observed values of OPC, leading to the determination of the parameters (mono-modal in this case) of r_{i} and σ_{i} in Equation (3). The real and imaginary parts of the complex refractive index (which are assumed to be independent of wavelength) are determined so as to reproduce the observed wavelength dependence of the scattering and absorption coefficients measured with the nephelometer and aethalometer. It is noted that before this analysis, the scattering data from the integrating nephelometer are subjected to the truncation error correction, which is related to the loss of contributions from relatively coarse particles, as well as the correction due to the evaporation of hygroscopic aerosols when the particles are introduced into the scattering volume of the instrument from ambient conditions with relative humidity higher than around 50% [47] . The value of Angstrom exponent is calculated from the AOT values, τ_{A}(λ), which in turn have been retrieved from the sunphotometer observation using Equation (6).

The value of lidar ratio, S_{1}, can readily be obtained from the phase function information provided from the Mie scattering calculation. In the case of Figure 4, the value of S_{1} = 62.5 sr obtained for λ = 349 nm is employed for implementing the Fernald analysis given by Equation (5). The resulting parameters, namely, the size distribution parameters and refractive index characterize aerosol in the atmospheric boundary layer, are utilized also as input parameters in the radiative transfer calculation using MODTRAN.

Table 1 shows the resulting values of lidar ratio (for 349 nm) with the values of AEC and Angstrom exponent. Here we have chosen the wavelength of 482 nm (the center wavelength of band 2 of Landsat-8 OLI) to indicate AEC, though the conversion to other wavelength can easily be made with the help of Angstrom exponent using Equation (7). The AEC data in Table 1 indicate that aerosol loading was small on 27 October 27 and 31 January 2017, while a turbid condition occurred on 20 March 2017. The situation on 23 May 2017 was an intermediate case, though the relative humidity was rather high (58%) on that day.

Figure 4. Fitting of observed parameters with Mie scattering calculation for the case of data observed at 10:00 (Japan Standard Time, JST) on January 31, 2017: (a) Size distribution data from the OPC (mie-1 is the fitting using a modified aerosol model and mie-2 is the mono-modal lognormal function); (b) Scattering coefficient from the nephelometer; (c) Absorption coefficient from the aethalometer; and (d) Single scattering albedo given as the ratio between the scattering and extinction coefficients. In each of (b)-(d), the best-fit result of Mie calculation is shown with a solid line. The resulting parameters are summarized in Table 1 and Table 2.

Table 1. Lidar ratio at the PPI lidar wavelength (349 nm), the value of AEC (α_{ext}) in the boundary layer at the wavelength of Landsat-8 band-2 (482 nm), Angstrom exponent (p), relative humidity (RH), and temperature (T).

3.2. Analysis of Landsat-8 Data

Table 2 lists the parameters employed in the MODTRAN calculation to simulate the total radiance observed by Landsat-8. The day of year (DOY) indicates the Julian day of Landsat-8 satellite overpass. The satellite zenith and azimuth angles of −0.001˚ and 181.29˚, respectively, are taken from the metadata of satellites together with the solar zenith angle (SZA) and solar azimuth angle (SAA). The atmospheric models are selected based on the season in mid-latitude. The parameters describing aerosol type consist of N (density), r (mode radius), logσ

Table 2. Important parameters and conditions used as MODTRAN input for calculating radiance for the Landsat-8 images over the Kanto area. AOT refers to the value at 482 nm (band 2 of Landsat-8).

(width), Re (real part of refractive index), and Im (imaginary part of refractive index), resulting from the Mie scattering calculation (Figure 4).

Figure 5(a) shows an example of total radiance simulated with MODTRAN. The geometry and atmospheric conditions are those on 31 January 2017, with the assumed surface reflectance of ρ = 0.30. The normalized band response functions of the OLI sensor onboard Landsat-8 are illustrated in Figure 5(b). For the present image analysis, band-2 centered at 482 nm (with λ_{1} = 452 nm and λ_{2} = 512 nm) is utilized for the construction of the lookup table.

Figure 6 shows an example of the lookup table calculated for band-2 of Landsat-8 satellite. For the simulation using MODTRAN, the aerosol type and geometrical conditions are assumed to be those around 10:00 JST on 31 January 2017. Figure 6(a) shows how the apparent reflectance, ρ_{ap}, changes as a function of the surface reflectance, ρ, for various values of AOT at 550 nm, τ_{550}. It is seen that the value of ρ_{ap} increases with ρ. Some deviations are noticeable for small values of ρ because of the influence of atmospheric scattering due to air molecules and aerosol particles. Nevertheless, since the relation between ρ_{ap} and ρ do not change significantly when τ_{550} is changed between 0 and 1, it is understood that the value of surface reflectance can be estimated from the apparent reflectance. Figure 6(b), on the other hand, shows the relation between ρ and τ_{550} for various values of ρ_{ap}. From this figure, it is seen that for a fixed value of τ_{ap}, the dependence of ρ on τ_{550} becomes noticeable for smaller values of ρ_{ap} (<0.15).

Figures 7(a)-(d) show the apparent reflectance (ρ_{ap}) distribution over the Kanto area obtained by applying Equation (8) to the four Landsat-8 band-2 images when the concurrent observations were performed. Since the AOT value and aerosol properties are known from the ground-based observations, considerations explained in Figure 6 can readily be applied to estimate the distribution of the surface reflectance. In Figure 7(a) and Figure 7(b), the resulting values of the apparent reflectance, ρ_{ap}, are rather large, and particular enhancement is found in the urban area, e.g., around the coastal area of the Tokyo Bay. In Figure 7(c) and Figure 7(d), on the other hand, the values of ρ_{ap} are rather suppressed, indicating the influence of decreased transmittance due to relatively large values of AOT (Table 2).

Figure 5. (a) At-sensor radiance at around 10:00 JST on 31 January 2017 simulated with the MODTRAN code assuming a surface reflectance of ρ = 0.30; (b) Spectral response functions of Landsat-8 OLI sensor in the wavelength range between 200 and 1600 nm.

Figure 6. MODTRAN simulation of the apparent reflectance, ρ_{ap}, as a function of the surface reflectance, ρ, and AOT at 550 nm, τ_{550}, for the aerosol type and geometrical conditions around 10:00 JST on 31 January 2017. (a) The value of ρ_{ap} increases with ρ: the deviation is noticeable for small values because of the influence of atmospheric scattering; (b) The relation between ρ and τ_{550} for various values of ρ_{ap}.

Figure 7. Distribution of the apparent reflectance of Landsat-8 band-2 images for the four cases of concurrent observations: (a) 27 October 2016; (b) 31 January 2017; (c) 20 March 2017; and (d) 23 May 2017. In each panel, red dot shows the location of CEReS.

3.3. Correlation between Space and Surface Observations

Figure 8 shows the spatial distributions of AEC (α_{ext}) derived by processing the PPI signal using Equation (5). In this calculation, the value of lidar ratio, S_{1}, listed in Table 1 has been utilized for each of the concurrent observations. The near-end boundary values of AEC at 349 nm are assumed to be given by the sampling result (AEC and Angstrom exponent) also shown in Table 1. From Figure 8, it is seen that the highest and lowest values of AEC are distributed on 20 March 2017 (Figure 8(c)) and 31 January 2017 (Figure 8(b)), respectively. The decreasing trend of AEC with radial distance is due to the slight (~4˚) elevation angle of the PPI observation. Other than this effect, the distributions are found to be more or less homogeneous.

Figure 9 shows the spatial distribution of AOT at 482 nm derived from band-2 of Landsat-8 by employing the methodology explained in Section 2.4. Figure 9(a) shows the AOT distribution on 27 October 2016: nearly homogeneous values are obtained (τ_{482} = 0.06 − 0.08), except in the north part of Kanto area. The smallest condition is seen on (b) 31 January 2017, with a homogeneous distribution of AOT (τ_{482} = 0.05 − 0.07). The highest AOT (τ_{482} = 0.45 − 0.50) is seen on (c) 20 March 2017. In Figure 9(d) (23 May 2017) inhomogeneity of AOT (τ_{482} = 0.20 − 0.30) is found, which is more conspicuous than the other cases. It is noted that in Table 2, the highest AOT is seen on (c) 20 March 2017

Figure 8. Spatial distribution of AEC at 349 nm derived from the Fernald analysis of PPI lidar signals recorded at the time of Landsat-8 satellite overpass.

Figure 9. AOT at 482 nm derived from the analysis of band-2 images of Landsat-8 OLI, at the time of satellite overpass around 10:00 JST on (a) 27 October 2016; (b) 31 January 2017; (c) 20 March 2017; and (d) 23 May 2017. The highest AOT distribution is seen in (c) (τ_{482} = 0.45 − 0.50) while the smallest in (b) (τ_{482} = 0.05 − 0.07).

(τ_{482} = 0.476) while the smallest on (b) 31 January 2017 (τ_{482} = 0.079): these values have been used to convert the apparent reflectance (ρ_{ap}, Figure 7) to the pixel reflectance (ρ), which in turn has been exploited to determine the AOT distribution in Figure 9 from the condition of L_{obs} = L_{tot}, as explained in Section 2.4.

The main purpose of this novel monitoring technique is the comparison of AEC distribution derived from PPI lidar (Figure 8) and AOT distribution obtained from band-2 of Landsat-8 satellite OLI sensor (Figure 9). The lowest AEC values among the four days are observed on 31 January 2017 (Figure 8(b)). This condition of small aerosol loading is consistent with the spatial distribution of AOT derived from the satellites observation shown in Figure 9(b), which exhibits the lowest AOT distribution as compared with other three days. In a similar way, it has been confirmed through the present results (Figure 8 and Figure 9) that the higher the AEC, the higher the AOT. This is a consequence of the fact that unless an additional layer of aerosol is existent in an elevated altitude, the vertical aerosol distribution, a_{ext}(z), can usually be described as a_{ext}(z) = a_{ext}(0) exp(−z/h_{a}), where h_{a} is a parameter called the aerosol scale height (h_{a} ~1 - 2 km), and a_{ext}(0) is the AEC directly measured with the PPI lidar. The value of AOT, on the other hand, can be obtained by integrating a_{ext}(z) over the whole troposphere, leading to the expression of τ_{A} ~ h_{a} a_{ext}(0). This indicates that AOT is nearly proportional to AEC, though the change in h_{a} may cause some deviations. In the four cases reported in the present paper, the estimated value of h_{a} is around 1 km, though the value is slightly large (−2 km) for the case of (d) 23 May 2017.

4. Conclusion

A novel monitoring technique for retrieving the spatial distribution of atmospheric aerosol optical properties has been proposed and demonstrated. The PPI lidar provides the distribution of AEC in the atmospheric boundary layer with the help of data from ground-sampling instruments (an integrating nephelometer, an aethalometer, and optical particle counters) to determine the lidar ratio in addition to the near-end boundary values of AEC. For this purpose, the Mie scattering calculation has been conducted. Besides, this procedure provides the parameters that define the aerosol type as needed for the MODTRAN computation. In the MODTRAN simulation of the satellite-observed radiance, the AOT data from the sunphotometer is also exploited for determining the reflectance distribution from a satellite image, which, in turn, is used to derive the spatial distribution of AOT for the band-2 (blue band) of Landsat OLI. Through this analysis, good consistency has been found between the spatial distribution of AEC from the PPI lidar and that of AOT from the satellite sensor. As a whole, the present work has demonstrated that aerosol characterization based on ground-based observations is useful for obtaining detailed insight into the horizontal distribution of near-surface aerosol, which also yields better constraint on the atmospheric correction of satellite remote sensing data. Future extension of the present method may involve more frequent observation (i.e., rapid scan) of the PPI lidar measurement with preferably higher laser power (i.e., wide range coverage) so that the temporal as well as spatial variation of near-surface aerosol can be monitored on an operational basis.

Acknowledgements

The first author (JA) would like to thank to Ministry of Research, Technology, and Higher Education Republic of Indonesia for supporting fellowship named Beasiswa Dikti.

List of Abbreviations

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