Introduction
Water transparency, also known as Secchi Disk depth (Zsd, m), is one of the important parameters describing the optical properties of seawater. With the development of marine technology, the application of seawater transparency has become more widespread and has wide implications from water quality to climate change research [1], [2], [3], [4], [5]. First, the change characteristics of the water transparency can assist the studies of water mass analysis and sea water movement, as well as determining the range and number of fish activities [3]. Second, the transparency of seawater is a good indicator to identify the changes in marine water quality. It is one of the parameters that must be measured in the monitoring of red tide, oil spill, and monitoring of the environmental impact assessment of the construction port. Furthermore, the transparency of the seawater can also be used to retrieve the visible light's attenuation coefficient and the diffuse attenuation coefficient to obtain the euphotic depth of the seawater to estimate the primary productivity of the water body [2], [4]. Therefore, to monitor the temporal and spatial variation of seawater transparency is of great significance for studying the physical and chemical properties of seawater, fishery production, marine ecological monitoring, and naval military activities [6], [7].
The traditional seawater transparency monitoring is based on manual in-site observation, measured with a white or black-and-white disc of 30 cm diameter to obtain the depth at which a Secchi disc falls vertically into the water and just disappears from the human eye [10]. Based on this method, only the localized water transparency can be understood. The demands for large-scale, rapid, and real-time monitoring of ocean elements cannot be met. Satellite remote sensing technology has the characteristics of rapid and periodic, which can acquire a wide range of seawater transparency distribution characteristics efficiently on time, and make up for the defects of traditional monitoring methods of seawater transparency [8]. At present, many scholars have used satellite remote sensing data to retrieve the transparency of seawater, and proposed various methods of seawater transparency monitoring based on remote sensing inversion. Prasad et al. [9] found a good correlation between seawater transparency and the ratio of the two-band water-leaving radiances by analyzing a large amount of water color data. Kratzer et al. [10] proposed the calculation of seawater transparency by the diffuse attenuation coefficient in the vertical direction and applied the method to the transparency measurement of the Baltic Sea. Doron et al. [11] proposed a method for measuring vertical visibility using remote sensing methods. And this method establishes a method for calculating the optical parameters of seawater transparency by inherent optical properties obtained by remote sensing inversion. Lee et al. [12], [13] proposed a new theoretical model (Zsd_lee_2015) for water transparency inversion in 2015 and applied 338 globally measured remote sensing reflectance (Rrs) and secchi disk depth (Zsd) field-measured data sets for verification analysis and extended application to Landsat-8 satellite remote sensing observation data. Shang et al. [14] applied Lee_2015’s water transparency retrieve algorithm to MODIS (MODerate resolution Imaging Spectroradiometer) satellite observation data to analyze the water transparency of long-term sequences in the Bohai Sea. Lee et al. [15] used the new Zsd retrieval model to the relationship between Zsd and Chla (Chlorophyll-a). Jiang et al. [16] proposed an algorithm to retrieve Zsd from Rrs in various waters based on the new underwater visibility theory. Keivan Kabiri [17] proposed a method for the estimation of Zsd based on MODIS Kd(490) data and apply it in the northern Persian Gulf, the Strait of Hormuz, and the Gulf of Oman. Many other researchers have studied the spatial and temporal distributions of transparency in global oceans, and inland waters [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28]. However, few scholars discuss the influence of different atmospheric correction (AC) algorithms on the accuracy of retrieved transparency. The ratio of water-leaving radiance to downwelling irradiance above the sea surface is defined as Rrs, which cannot be measured directly. However, the high precision of marine bio-optical parameters retrieved from satellite remote sensing data requires accurate Rrs data as the inputs (such as transparency retrieve research) [29]. For ocean color remote sensing, the water-leaving radiance of seawater contributes less than 10% of the total signal received by satellite ocean color sensor, while about 90% of the total signal received by the sensor is contributed from the atmosphere [30], [31], [32]. Therefore, we need to do AC for the received signal to remove the atmospheric signals and obtain water-leaving radiance or Rrs (λ), which is one of the key technologies of ocean color remote sensing. Accurate AC is the prerequisite for obtaining high-precision Rrs data and getting high-precision water color products [30]. At present, the AC algorithms for the case II water bodies include bright and dark pixel methods [31], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], neural network methods [43], [44], [45], spectral matching methods and optimization methods [46], [47], [48], [49], etc. The error analysis of ocean color products obtained by applying different AC algorithms to the same sensor should also be one of the research contents that need to be paid attention to in ocean optical remote sensing.
Over the past two decades or more, many countries around the world have launched a variety of space-based ocean color sensors for daily global ocean observations, such as sea-viewing wide field sensor (SeaWiFS), MODIS, medium-resolution imaging spectrometer, visible infrared imager radiometer sensor, and ocean and land color instrument. There is also the historic geostationary ocean color imager (GOCI). GOCI is the main sensor mounted on communication ocean and meteorological satellite (COMS). The high-frequency observations of GOCI make it possible to analyze the hourly changes of marine geochemical parameters compared with the traditional polar orbit ocean color satellite. It is helpful to monitor the hourly changes in water quality, red tide, and green tide in offshore waters [50], [51], [52]. Jiaozhou Bay is a semi-closed shallow water bay located in Shandong Peninsula with an area of nearly 500 square kilometers. It belongs to the western part of the Yellow Sea and is an important representative of the gulf ecosystem in the North Temperate zone. The bay is high in nutrients and is an excellent sea area for the growth and reproduction of fish, shrimp, and shellfish. It belongs to the planning scope of Marine pasture breeding area in Shandong Province, and its water optical properties are complex. The transparency semi-analytical retrieval model of Zsd_lee_2015 solves the problem of human eye observation of Secchi disk with optical theory. This model has obtained good performance after being validated with 338 concurrent global measurements of both Rrs and Zsd covering oceanic waters, including nearly 200 match-ups of Rrs and Zsd from the China seas [12]. However, whether this Zds_lee_2015 model can be directly applied to GOCI satellite data to retrieve transparency in the Jiaozhou Bay and Qingdao coastal area, and whether the difference in retrieval results caused by different AC model can be ignored during the whole retrieval process? In this study, based on this hypothesis and GOCI data in Jiaozhou Bay and Qingdao coastal area, the error analysis of the retrieve accuracy of transparency under different AC algorithms and the difference analysis of the hourly change results of transparency under different AC algorithms were analyzed.
Data
A. In-situ Data
A two-day marine optical field experiment was conducted in Jiaozhou Bay and Qingdao offshore on Aug 13–14, 2014. The stations are shown in blue circles (see Fig. 1). Experimental instruments and measurement parameters are listed (see Table I). Almost in each station, the parameters of the apparent optical parameters, for example, the upward radiance and the downward irradiance were measured, and then the Rrs data and the diffuse attenuation coefficient Kd data were derived. The intrinsic optical parameters were also measured: the absorption coefficient, the attenuation coefficient, and the backward scattering coefficient. And the transparency of seawater was measured too. The red dots in Fig. 1 are the stations of the measured transparency data provided by the Jiaozhou Bay Marine Ecosystem National Field Scientific Observation and Research Station in Shandong1
Location map of in-situ stations in Jiaozhou Bay and Qingdao coastal area. The blue circles represent in-situ stations on Aug 13–14, 2014; the red circles represent stations of the measured transparency data provided by the Jiaozhou Bay Marine Ecosystem National Field Scientific Observation and Research Station in Shandong.
The local data time is shown in Table II.
B. GOCI/COMS Data
GOCI is the main sensor on South Korea's COMS satellite, which was launched in July 2010. It is the world's first geostationary ocean color satellite and covers China's Bohai Sea, Yellow Sea, and parts of the East China Sea and would captures 8 images per day from 8 a.m. to 3 p.m. in local time, one image per hour. The spatial resolution of GOCI observation is 500 m, and the spectral band ranges 412–865 nm (412, 443, 490, 555, 660, 680, 745, and 865 nm). Compared with the traditional polar orbit ocean color satellite, COMS/GOCI makes it possible to observe the diurnal variation of biogeochemical parameters, which is helpful to monitor the hourly variation of water quality, red tide, and green tide in offshore water. The GOCI L1B data were employed to estimate water transparency in this article, and the observation data are consistent with the field experimental data.
C. MODIS Data
MODIS is a key instrument aboard two NASA earth observing system satellites: Terra and Aqua. It has 36 spectral ranging from 140 to 1440 nm. In this article, MODIS/Aqua L1B data at the imaging time 05:25, Mar 09, 2018 (UTC) was used to get aot_555 data, which stands for Aerosol Optical Thickness at 555 nm, is an index parameter to characterize the amount of aerosol particles present in the atmosphere of the earth. The 555 nm wavelength range is chosen because it is sensitive to the scattering properties of most atmospheric aerosols.
Algorithm
A. AC Algorithms of KOSC GDPS
GDPS is the official software for processing GOCI data. The official website of KOSC currently provides global users with six versions (GDPS1.1, GDPS1.2, GDPS1.3, GDPS1.4, GDPS1.4.1, and GDPS2.0) of the installation program for free. The operational algorithm of AC for GDPS to process GOCI data adopts the bright pixel method, which is implemented by improving the iterative model for calculating near-infrared (NIR) water-leaving reflectance based on the standard SeaWiFS algorithm. Because of the absence of a short-wave infrared band in GOCI, GDPS1.1 and GDPS1.2 establish an empirical relation between the red band and the NIR water-leaving reflectance to calculate the NIR reflectance
In this article, the default AC algorithms of GDPS1.3 and GDPS2.0 are chosen to do AC on GOCI L1B data to obtain the Rrs(λ) data to estimate transparency.
B. AC Algorithms of SeaDAS
NASA Ocean Biology Processing Group currently provides SeaDAS software for free to process oceanic remote sensing satellite data. SeaDAS provides multiple AC algorithms for users. The default AC algorithm of SeaDAS 8.2 (i.e., NASA standard AC algorithm, denoted as Seadas-Default) and management unit of the North Sea mathematical model (MUMM) AC algorithm (denoted as Seadas-MUMM) are used to conduct AC on GOCI L1B data in this article. Then the Rrs(λ) data are obtained to estimate transparency. The NASA standard AC algorithm was originally developed by Gordon and Wang [56] in 1994, and was extended its application to case-2 waters by Stumpf et al in 2003 [57], and further was revised by Bailey and Ahmad et al in 2010 [58], [59]. NASA uses this algorithm as the default AC algorithm of SeaDAS to process the ocean color remote sensing data and provides L2 products for users. The MUMM AC algorithm was proposed by Ruddick in 2000 [31].
C. Water Transparency Retrieve Method
Lee et al. [12] proposed a new theoretical model of water transparency retrieval in 2015, and the derivation and verification are given in detail. It has been applied to MODIS and Landsat satellite data to retrieve seawater transparency successfully [13], [14]. The model formula is as follows:
\begin{align*}
{Z}_{\text{sd}} =& \frac{{1}}{{{2.5}{\rm{Min}}({K}_d{\rm{(443,488,532,555,665))}}}}\ln\\
&\times \left({\frac{{\left| {0.14 - R_{\text{rs}}^{\text{tr}}} \right|}}{{C_t^r}}} \right). \tag{1}
\end{align*}
Here
This model was built and validated with 338 concurrent global measurements of both Rrs and Zsd, resulting in an averaged unbiased percentage difference ε = 18.2% (2) and R2 = 0.96 between the estimated Zsd from Rrs and the measured Zsd. More details about the method can be found in Lee et al. [12]
\begin{align*}
&{\rm{\varepsilon }} = \frac{{1}}{n} \cdot \sum\limits_{\mathrm{i} = 1}^n {\left[ {{Z}^i{{_{\text{sd}}}}_{{\rm{ - est}}} - {Z}^i{{_{{\rm{sd - }}}}}_{\text{mea}}} \right]} /\left[ {{Z}^i{{_{\text{sd}}}}_{{\rm{ - est}}} + {Z}^i{{_{{\rm{sd - }}}}}_{\text{mea}}} \right]*\\
&200\% \tag{2}
\end{align*}
Results
A. Adaptability Analysis of Zsd_lee 2015 Retrieval Algorithm
In this article, we apply the in-situ optics experimental data (blue stations in Fig. 1) obtained in Jiaozhou Bay and Qingdao offshore in Aug 2014 to estimate the transparency value using the theoretical model of Lee 2015. Then the estimated transparency values are compared with the in-situ measured values (see Fig. 2). The estimated transparency results based on the in-situ measurement data show that the transparency retrieval model of Zsd_lee_2015 is suitable for Jiaozhu Bay and Qingdao coastal waters. The coefficient of determination (R2) reaches 0.83, the averaged unbiased percentage difference (ε) is 16.4%, the root-mean-square error (RMSE) is 0.087 m, and the mean absolute percentage error (MAPE) is 18.3%. Among them, MAPE is not easily affected by extreme values and uses percentage to measure the size of data deviation, which is easy to understand. Those corresponding validation indicators were determined:
\begin{align*}
\text{RMSE} =& \sqrt {\frac{{1}}{n} \cdot \sum\limits_{\mathrm{i} = 1}^n {{{({Z}^i{{_{{\rm{sd - }}}}}_{\text{mea}} - {Z}^i{{_{\text{sd}}}}_{{\rm{ - est}}})}}^2} } \tag{3}\\
\text{MAPE} =& \frac{{1}}{n} \cdot \sum\limits_{\mathrm{i} = 1}^n {\frac{{\left| {{Z}^i{{_{{\rm{sd - }}}}}_{\text{mea}} - {Z}^i{{_{\text{sd}}}}_{{\rm{ - est}}}} \right|}}{{{Z}^i{{_{{\rm{sd - }}}}}_{\text{mea}}}}} \times 100\%. \tag{4}
\end{align*}
B. Retrieval Accuracy of Transparency Under Four AC Algorithms
Although the result based on field experimental data suggests that the transparency retrieve algorithm of Lee 2015 has adaptability in this study area. And the existing literature also indicates that it has good potential to be applied to Landsat and MODIS satellite data [13], [14]. However, the satellite cross-comparison results of GOCI and MODIS show that the Rrs data obtained from GOCI based on different AC algorithms are inconsistent with Rrs data of MODIS, and there are great differences in some bands [61]. In this article, whether the Zsd_lee 2015 retrieve algorithm is suitable for GOCI data in the studied sea area is analyzed, and the influence on the retrieval accuracy of transparency caused by different AC algorithms is considered.
Verification figure between the retrieved transparency values based on Zsd_Lee 2015 model using in-situ Rrs and Kd data and the in-situ measurement transparency data (blue stations in Fig. 1) in Aug 2014.
The four operational AC algorithms introduced in Section II-B were applied to process the GOCI data and the Rrs data were obtained respectively. Then four sets of one-to-one corresponding retrieved transparency data were calculated based on the Zsd_lee 2015 algorithm. The retrieved transparency data were compared and analyzed with the measured data, as illustrated in Fig. 3, following the temporal-space matching principle: temporal difference less than 3 h and spatial distance less than 300 m. The comparison results between the transparency data obtained based on AC algorithm of GDPS2.0 with the measured data [see Fig. 3(b)] are generally better than the other three models [see Fig. 3(a), (c), and (d)]. Its coefficient of determination is 0.74, the averaged unbiased percentage difference is 26%, the bias is -0.34 m, and MAPE is 25%. Transparency retrieved from Rrs based on AC algorithms of GDPS1.3 and GDPS2.0 [see Fig. 3(a) and (b)] are generally lower than the measured transparency data with bias of -0.53 m and -0.34 m, respectively. The retrieved transparency results based on the standard AC algorithm of NASA [see Fig. 3(c)] and MUMM [see Fig. 3(d)] are higher than the measured transparency data overall, with deviations of 1.01 m and 1.23 m, respectively. The results show that the difference in transparency value caused by different AC algorithms cannot be completely ignored.
C. Temporal and Spatial Differences of Transparency Under Four AC Algorithms
GOCI I provides 8 scenes of imaging data per day, and GOCI II can provide 10 scenes. Their high-frequency observations make it possible to analyze the hourly changes of marine geochemical information. However, the influence of different AC algorithms on the analysis of hourly changes of biochemical parameters has not been considered so far. In this study, we selected 8 observation satellite data of GOCI obtained on Mar 09, 2018, to conduct a preliminary discussion on the spatial distribution difference and hourly variation of transparency caused by different AC algorithms. The 8 GOCI image data of Mar 09, 2018, were selected in this article because there was basically no data loss caused by cloud coverage, which were convenient for the application of those data for analysis.
Fig. 4 shows the spatial distribution of transparency retrieved from GOCI satellite data on 05:16, Mar 09, 2018 (UTC) based on four AC algorithms. It can be seen that there are great differences in the spatial distribution. The sea areas with the maximum transparency value are basically the same, but there is a large difference in the transparency value [see Fig. 4(a)–(d)]. Then the transparency value retrieved based on GDPS2.0 was selected as the benchmark, denoted as Zsd_GDPS2.0. The change ratio of transparency data obtained based on other three AC algorithms (denoted as Zsd_GDPS1.3, Zsd_Seadas_default and Zsd_Seadas_MUMM) relative to Zsd_GDPS2.0 were calculated (5), and the spatial distribution results as shown in Fig. 5. Through comprehensive analysis of Figs. 4 and 5, it is found that the change ratios of Zsd_GDPS1.3, Zsd_Seadas_default and Zsd_Seadas_MUMM relative to Zsd_GDPS2.0 are less than 0 (see Fig. 5) in the area where Zsd_GDPS2.0 has a high value greater than 5m [see Fig. 4(b)]. In the sea areas where Zsd_GDPS2.0 is less than 5 m, the change ratios of Zsd_Seadas_default and Zsd_Seadas_MUMM relative to Zsd_GDPS2.0 is greater than 0 [see Fig. 5(b) and (c)], and the ratio tends to 100% in most sea areas, even with 200% in some areas
\begin{equation*}
\text{Ratio} = ({Z}_{sd}\_\text{AC} - {Z}_{sd}\_\text{GDPS}2.0)/{Z}_{sd}\_\text{GDPS}2.0. \tag{5}
\end{equation*}
Spatial distribution of transparency retrieved from GOCI data based on four different AC algorithms on 05:16, Mar 09, 2018 (UTC). (a) AC algorithm of GDPS1.3. (b) AC algorithm of GDPS2.0. (c) Standard AC algorithm of NASA. (d) AC algorithm of MUMM.
Change ratio of transparency data relative to Zsd_GDPS2.0 based on (a) AC algorithm of GDPS1.3, (b) standard AC algorithm of NASA, and (c) AC algorithm of MUMM on 05:16, Mar 09, 2018 (UTC).
By applying the 8-scene hourly imaging GOCI data of 2018.03.09 00:16-07:16 (UTC) (08:16-15:16 local time), the spatial distribution figures of the maximum transparency in 8 h corresponding to each longitude and latitude pixel point based on different AC algorithms are obtained (see Fig. 6). The imaging time with the maximum transparency were also visually displayed in the space layer [see Fig. 7(a)–(d)] and the imaging time with the maximum transparency was probability statistics [see Fig. 7(e)]. It is found that the spatial distribution results of maximum transparency during 08:16 to 15:16 (local time) based on different AC algorithms show great differences. The spatial distribution regions with maximum transparency less than 5 m based on GDPS1.3 and GDPS2.0 AC algorithms are similar and have little difference in values, while those with maximum transparency greater than 5 m are similar but have large difference in values [see Fig. 6(a) and (b)]. The spatial distribution of maximum transparency based on NASA standard AC algorithm [see Fig. 6(c)] and MUMM AC algorithm are consistent [see Fig. 6(d)]. However, the coverage areas whose value are greater than 5 m is significantly higher than the results of GDPS1.3 [see Fig. 6(a)] and GDPS2.0 [see Fig. 6(b)]. Based on the distribution results of imaging time with the maximum transparency, it is found that the maximum transparency value of Jiaozhou Bay and Qingdao coastal area based on GDPS1.3 and GDPS2.0 AC algorithms are mostly presented at 13:16 and 14:16 [see Fig. 7(a) and (b)]. However, the moments when the transparency value retrieved based on the other two AC algorithms present the maximum value are mostly at 12:16 and 13:16 [see Fig. 7(c) and (d)]. The frequency of the maximum transparency value presented at 11:16 based on the AC algorithms of GDPS1.3, NASA, and MUMM are basically the same, which are much higher than the result based on the AC algorithm of GDPS2.0 [see Fig. 7(e)].
Spatial distribution results of the maximum transparency values retrieved from eight GOCI data based on the four different AC algorithms in Mar 09, 2018. (a) AC algorithm of GDPS1.3. (b) AC algorithm of GDPS2.0. (c) Standard AC algorithm of NASA. (d) AC algorithm of MUMM.
Spatial distribution figures of the imaging time with the maximum transparency value in 8 h (08:16–15:16 local time) corresponding to each longitude and latitude pixel point based on (a)–(d) different AC algorithms, and (e) the frequency statistics of imaging time with maximum transparency value in Mar 09, 2018.
By applying the 8-scene hourly imaging GOCI data of 2018.03.09 00:16-07:16 (UTC) (08:16–15:16 local time), the spatial distribution of the minimum transparency in 8 h corresponding to each longitude and latitude pixel point based on different AC algorithms are obtained (see Fig. 8). The imaging time with the minimum transparency were also visually displayed in the space layer [see Fig. 9(a)–(d)] and the imaging time with the minimum transparency was probability statistics [see Fig. 9(e)]. It is found that the spatial distribution results of the minimum transparency values based on GDPS1.3 and GDPS2.0 AC algorithms were similar in Mar 09, 2018, and the values were not different in a large range [see Fig. 8(a) and (b)]. The spatial distribution results of minimum transparency values based on NASA standard AC algorithm [see Fig. 8(c)] and MUMM AC algorithm are consistent [see Fig. 8(d)], but the minimum values are significantly higher than the results of GDPS1.3 [see Fig. 8(a)] and GDPS2.0 [see Fig. 8(b)]. After analyzing the distribution of the time when the minimum transparency value appears, we found that the imaging time with the minimum transparency value based on the four AC algorithms in 8 h are mostly at 08:16 [see Fig. 9(a)–(d)], and the occurrence frequency accounts for more than 78%, followed by 15:16, and the probability of the minimum transparency value appearing at 12:16–14:16 is very low and negligible [see Fig. 9(e)]. It should be noted that the probability of the minimum transparency value appearing at 09:16–11:16 based on NASA standard AC algorithm are greater than that of the other three AC algorithms.
Spatial distribution results of the minimum transparency values retrieved from eight GOCI data based on the four different AC algorithms in Mar 09, 2018. (a) AC algorithm of GDPS1.3. (b) AC algorithm of GDPS2.0. (c) Standard AC algorithm of NASA. (d) AC algorithm of MUMM.
Spatial distribution figures of the imaging time with the minimum transparency value in 8 h (08:16–15:16 local time) corresponding to each longitude and latitude pixel point based on (a)–(d) different AC algorithms, and (e) the frequency statistics of imaging time with minimum transparency value in Mar 09, 2018.
D. Changing Characteristics of Transparency Based on Four AC Algorithms
Based on the spatial distribution results of the transparency of Jiaozhou Bay and Qingdao coastal area under the four AC algorithms in the “Result” module [see Figs. 4 and 5], and comprehensive considering the geographical characteristics of the studied area, we selected three red areas (red areas in Fig. 10, one in the bay and two outside the bay) and two blue transections that at the middle of the studied area (blue lines in Fig. 10) as the study object to analyze the changes of transparency based on different AC algorithms.
Selected two transections (blue lines:119.60°E–121.50°E, 35.50°N; 35.00–36.50°N, 121°E) and three areas (red areas) in this article.
After analyzing the changes of transparency retrieved from GOCI data based on the four different AC algorithms at the transection along latitude direction (119.60°E–121.50°E, 35.50°N) and the transection along longitude direction (35.00–36.50°N, 121°E) at the imaging UTC time 05:16, Mar 09, 2018 (see Fig. 11). We find that in the transection along latitude direction, the change trends of transparency obtained based on the AC algorithm of NASA and MUMM are almost completely consistent, but they differ significantly with the transparency changes based on the AC algorithms of GDPS1.3 and GDPS2.0. And we get the same comparison results in the transection along longitude direction. The transparency values obtained based on the AC algorithm of GDPS2.0 are significantly higher than those obtained based on the other three methods in the range of 119.8–120.4 °E and 121.2–121.4°E of the transection along latitude direction. In other ranges of the transection along the latitude direction, the change trends of transparency obtained based on the AC algorithm of GDPS1.3 and GDPS2.0 are basically the same. And the transparency values are smaller than the results of the other two methods, and the difference can be up to 4 m. The transparency values obtained based on the AC algorithm of GDPS2.0 are significantly higher than those obtained based on the other three methods in the range of 35.3–35.4°N and 35.75–35.9°N of the transection along longitude direction. In other ranges of the transection along longitude direction, the change trends of transparency obtained based on the AC algorithm of GDPS1.3 and GDPS2.0 are basically the same. And the transparency values are smaller than the results of the other two methods, and the difference can be up to 3 m.
Changing curves of transparency retrieved from GOCI data based on the four different AC algorithms (a) at the transection along latitude direction and (b) the transection along longitude direction at the imaging time 05:16, Mar 09, 2018 (UTC).
Then the hourly changes of the average transparency values of the three regions selected in Fig. 10 within 8 h from 08:16 to 15:16 (local time) on Mar 09, 2018 were analyzed (see Fig. 12). In region I, the change trends of transparency values obtained based on the AC algorithms of GDPS2.0, NASA, and MUMM algorithm are basically same, showing the upward trend from 08:16 to 12:16, the downward trend from 12:16 to 15:16, and the maximum value appears at imaging time 12:16. However, the change trend of the transparency values obtained based on GDPS2.0 is different from the analysis results of the other three algorithms after 11:16, it shows a slight decline first, then an increase and then a decline. In region I, the occurrence moments of minimum and maximum transparency values based on different AC algorithms are not completely consistent. In region II, the change trends of transparency obtained based on the AC algorithm of NASA and MUMM are consistent, with an upward trend from 08:16 to 12:16, a downward trend from 12:16 to 15:16, and the maximum value appears at 12:16 imaging time. The transparency obtained based on GDPS2.0 showed a low value at 11:16 with a downward trend from 09:16 to 11:16, then an upward trend to 14:16, and the maximum value appeared at 14:16. However, the transparency values obtained based on GDPS1.3 have a high value at 11:16, which is almost the same as the maximum value at 14:16. In region II, the lowest transparency value all appears at 08:16. In region III, the change trend of the transparency value obtained based on the AC algorithms of NASA and MUMM are consistent, which increases from 08:16 to 12:16, and decreases from 12:16 to 15:16, and the maximum value appears at the imaging time 12:16. The transparency values obtained based on GDPS1.3 show an increasing trend from 08:16 to 13:16, and the maximum value appears at 13:16. The maximum value of transparency based on GDPS2.0 appears at 14:16. In region III, the lowest value of transparency occurs at 08:16, but the highest value of transparency does not appear at the same moment. It can be seen that the conclusions based on different AC algorithms to study the hourly change of transparency in different areas will not be completely consistent.
Comparison curves of hourly changes of transparency retrieved from GOCI data based on the four different AC algorithms in (a) region I, (b) region II, (c) and region III.
Discussion
A. Uncertainties of Zsd Retrieval
The Zsd_lee_2015 model shows that Zsd is determined by the minimum value of the Kd spectrum in the visible range, which has a good correlation with ocean color [12]. Due to the particularity of the semi-closed Jiaozhou bay and Qingdao coastal area, the appropriate AC model and the applicability of algorithm are the problems that must be faced when using satellite remote sensing to monitor the changes of transparency in coastal waters. Currently, numerous AC algorithms have been published and utilized worldwide. However, there is a lack of comparison among satellite retrieval transparency data under different AC algorithms. The high-frequency observation characteristics of GOCI's 8 daily images provide us with convenient conditions to study the differences of retrieved transparency obtained based on various AC algorithms within a short time frame. Some researchers use GOCI data to analyze the temporal and spatial variation of transparency and its influencing factors in specific sea areas [50], [62]. For example, Zhou et al. used GOCI data to analyze the hourly variation of transparency in Jiaozhou Bay, and analyzed the relationship between transparency with tide and solar zenial angle based on Zsd_lee_2015 [62]. However, the results of the third section of this article may cast doubt on the validity of these published studies, because the hourly variation results of regional transparency values based on different AC algorithms are not completely consistent.
Although the agreement between the Zsd_Lee_2015 model and the measured data is very good in many ocean areas, even very suitable for some satellites [13], [14], [63]. However, the results of this article show that we cannot ignore the retrieval error caused by the AC algorithm when applying Zsd_lee_2015 model to retrieve transparency based on GOCI data. The AC algorithm and retrieval model should be considered simultaneously during the whole retrieval process. This poses a challenge to how to select the appropriate AC algorithm in the process of Zsd retrieval in offshore waters. Perhaps we need to develop new evaluation systems to evaluate the suitability of AC algorithms.
B. Potential Link Between Aerosol Optical Thickness and Retrieved Transparency Data
The role of AC is to remove atmospheric effects on remote sensing data, the most important of which is the effect of aerosols [61]. The distribution of aerosols is not uniform because of the great influence of human activities in the coastal waters. The Rrs products of coastal waters are very vulnerable to the influence of complex multiple scattering in the atmosphere-land system, and the accuracy of the AC is highly dependent on the accurate understanding of the surface types and aerosol patterns in the study area [64]. To clarify the potential relationship between aerosol optical thickness and retrieval transparency, the aerosol optical thickness data at the MODIS/Aqua 555 nm at 05:25 on Mar 9, 2018 (see Fig. 13) was used to analyze the influence of aerosols on the transparency results of GOCI under different AC algorithms. The MODIS aerosol data used in this article was only 9 min different from the GOCI data imaging time. The transparency data obtained at 05:16 on Mar 9, 2018, from GOCI based on the GDPS 2.0 and NASA standard AC algorithms were selected and analyzed in conjunction with the aerosol optical thickness data. The results are shown in Fig. 14. In the range of aot_555<0.055 and aot_555>0.12, the transparency data obtained based on the NASA standard AC algorithm are higher than those obtained based on the GDPS 2.0. Within the range of aot_555 values from 0.055 to 0.12, the difference between the transparency values obtained by the two AC algorithms is between 0 and 4 m. This indicates that aerosol models need to be further optimized and regionalized in the process of AC of satellite data in coastal waters. Those results may provide new ideas for optimizing AC algorithm models for GOCI. The customization of aerosol type should be further considered, for instance.
Scatter plots of aerosol optical thickness (Modis aot_555) versus transparency difference (Zsd_Seadas_Default - Zsd_GDPS2.0).
It is worth noting that the analysis results obtained are not limited to the data presented in the article. Similar conclusions are obtained when we use other GOCI data. Although the results of this study show that there are differences in hourly changes of transparency retrieved from GOCI data under different AC algorithms, due to the lack of measured hourly transparency values that match the GOCI satellite data, there is no better method to quantitatively analyze the hourly changes obtained by GOCI based on the four AC algorithms. The other things that require in-depth analysis in the future are what is the mechanism behind these differences, which link of different AC methods caused the difference, and which AC is more reasonable under what conditions. One of the purposes of this article is to encourage research groups to supplement the quantitative analysis of the hourly change results.
Conclusion
Water transparency is an essential indicator of water quality. In this article, we evaluated the suitability of water transparency retrieval model proposed by Lee in 2015 using in situ data. The impacts of four AC algorithms on the retrieval of water transparency were also assessed. And the hourly changes of transparency in Jiaozhou Bay and Qingdao coastal area based on four AC algorithms were compared for the first time. The results showed that Lee's water transparency was suitable in the study area (R2>0.8, MAPE = 16.4%) and the AC model has non-negligible impacts on the water transparency retrieval from GOCI. Under different AC algorithms, the difference of transparency values retrieved from GOCI by using the same retrieval model in the same study area can be as high as double. It is also found that the timely changing characters of transparency obtained by different AC models are not completely consistent, and even the maximum and minimum values of transparency and the time of maximum and minimum values appeared in the 8 h are not the same. For example, on Mar 09, 2018, the maximum transparency value of Jiaozhou Bay and Qingdao coastal area based on GDPS1.3 and GDPS2.0 AC algorithms are mostly presented at 13:16 and 14:16, while the moments when the transparency value retrieved based on the other two AC algorithms present the maximum value are mostly at 12:16 and 13:16. The results of this article show that different AC models have a huge impact on the accuracy of retrieved ocean color products, it is urgent to develop a new evaluation system for evaluating the performance of AC models.
ACKNOWLEDGMENT
The authors would like to thank the KOSC for providing GOCI data and various versions of GDPS software. And the authors are also grateful to NASA Ocean Biology Processing Group for providing MODIS/Aqua data and SeaDAS software.