The Spatial-Temporal Distribution of GOCI-Derived Suspended Sediment in Taiwan Coastal Water Induced by Typhoon Soudelor

: This paper discusses the use of a Geostationary Ocean Color Imager (GOCI) to monitor the spatial–temporal distribution of suspended sediment (SS) along the coastal waters of northern Taiwan which was affected by Typhoon Soudelor from 8 to 10 August 2015. High temporal resolution satellite images derived from GOCI were processed to generate four-day average images of SS for pre- and post-typhoon periods. By using these four-day average images, characteristics of SS along the north of Taiwan coastal water can be tracked. The results show that SS concentration increased in the four-day average image immediately after the typhoon (11–14 August), and then decreased in the four-day average image 9 to 12 days after the typhoon (19–22 August). The mouths of the Dajia River and Tamsui River were hotspots of SS, ranging from 9 to 15 g/m 3 during the two post-typhoon periods. Moreover, the maximum suspended sediment ( SS max ) and its corresponding time ( t max ) can be computed using GOCI hourly images for the post-typhoon period from 08:30 on 11 August to 08:30 on 22 August. The results show that SS max occurred in the west coastal water within 4 days post-typhoon, and SS max occurred in the east coastal water 9 to 12 days post-typhoon. Furthermore, an exponential decay model was used to compute the time when 90% of typhoon-induced SS was dissipated after Typhoon Soudelor ( t 90 ). It was found that t 90 in the mouths of the Tamsui River and Heping River was the longest among all coastal waters of our study area, with a range of 360–480 h. River discharge and ocean currents with suspended sediment concentration are discussed.


Introduction
Suspended sediment (SS) is a key part of studying shallow waters, such as coastal regions, because of its influence on the marine environment and ecosystems [1]. Therefore, monitoring the characteristics of SS can aid in better understanding the bio-geomorphological processes and validate spatially distributed hydrodynamic and transport models in coastal water regions [2]. There are many monitoring methods, such as in situ measurements with a cruise, station observations, numerical models, remote sensing, etc. In situ measurements with a cruise, numerical models, and station observations are costly and timeconsuming [3,4]. Remote sensing provides a viable solution for monitoring SS in coastal waters because it can cover large areas at the same time. Moreover, compared with other methods, satellite images also offer richer spatial information and can overcome operational cost issues due to state-of-the-art technologies. For example, the first geostationary ocean color observation satellite has been used for coastal water turbidity and Sentinel-3 missions for scientific observations of the ocean [5,6].
Many regions around the world are affected by tropical storms, including Taiwan. Typhoon-induced suspended sediment (SS) in the coastal water region has an impact on

Study Area
The study area is located on the northern coast of Taiwan ( Figure 1). There are 9 rivers administered by the Taiwan central government (ATCG) [28]. Seven of the rivers are on the west side of Taiwan Island, and two are on the east side.
The statistics of the annual discharge of the 9 rivers were provided by the Taiwan River Restoration Network [28]. Tamsui River has the largest annual discharge of 7443 m 3 /s, followed by Lanyang and Dajia with 2773 m 3 /s and 2569 m 3 /s, respectively. Other rivers have a lower discharge of less than 2000 m 3 /s, and the Fengshan River has the lowest discharge of 376 m 3 /s.

Typhoon Soudelor
Typhoon Soudelor formed in the middle of the Pacific Ocean on 20 July 2015, and became a super typhoon (category 5 on the Saffir-Simpson hurricane wind scale) on 29 July [29]. Typhoon Soudelor made landfall in the east of Taiwan at 04:40 local time on 8 August 2015 and brought torrential rain. The typhoon then moved north-westwards through eastern China and degraded to a tropical depression on 9 August 2015 [30][31][32][33].

GOCI Satellite Images
In this study, GOCI level-2 images were downloaded from the NASA Ocean Color website (https://oceancolor.gsfc.nasa.gov/). Then, SS was extracted from GOCI hourly images with a spatial resolution of 500 m. These hourly images were binned using the arithmetic mean algorithm, implemented in SeaDAS [34,35], to create daily SS images with a spatial resolution of 500 m ( Figure 2).
During the period of Typhon Soudelor, cloud cover caused data voids in many of the hourly GOCI images. The problem was more severe on 8-10 and 15-18 August, when GOCI images were not available for our study area ( Figure 2). To better visualize the spatial distribution of typhoon-induced SS, i.e., minimize the data voids, 4 daily GOCI images were further binned to generate a 4-day average image with a spatial resolution of 500 m.
A 4-day average image immediately before the typhoon ( ̅̅̅ 4−7 ), binned from the daily SS images of 4-7 August 2015, was generated. Similarly, a 4-day average image immediately after the typhoon ( ̅̅̅ 11−14 ), binned from 11-14 August, was generated. Moreover, to monitor the decrease in suspended sediment, a 4-day average image 9 to 12 The statistics of the annual discharge of the 9 rivers were provided by the Taiwan River Restoration Network [28]. Tamsui River has the largest annual discharge of 7443 m 3 /s, followed by Lanyang and Dajia with 2773 m 3 /s and 2569 m 3 /s, respectively. Other rivers have a lower discharge of less than 2000 m 3 /s, and the Fengshan River has the lowest discharge of 376 m 3 /s.

Typhoon Soudelor
Typhoon Soudelor formed in the middle of the Pacific Ocean on 20 July 2015, and became a super typhoon (category 5 on the Saffir-Simpson hurricane wind scale) on 29 July [29]. Typhoon Soudelor made landfall in the east of Taiwan at 04:40 local time on 8 August 2015 and brought torrential rain. The typhoon then moved north-westwards through eastern China and degraded to a tropical depression on 9 August 2015 [30][31][32][33].

GOCI Satellite Images
In this study, GOCI level-2 images were downloaded from the NASA Ocean Color website (https://oceancolor.gsfc.nasa.gov/). Then, SS was extracted from GOCI hourly images with a spatial resolution of 500 m. These hourly images were binned using the arithmetic mean algorithm, implemented in SeaDAS [34,35], to create daily SS images with a spatial resolution of 500 m ( Figure 2).
During the period of Typhon Soudelor, cloud cover caused data voids in many of the hourly GOCI images. The problem was more severe on 8-10 and 15-18 August, when GOCI images were not available for our study area ( Figure 2). To better visualize the spatial distribution of typhoon-induced SS, i.e., minimize the data voids, 4 daily GOCI images were further binned to generate a 4-day average image with a spatial resolution of 500 m.
A 4-day average image immediately before the typhoon (SS 4−7 ), binned from the daily SS images of 4-7 August 2015, was generated. Similarly, a 4-day average image immediately after the typhoon (SS 11−14 ), binned from 11-14 August, was generated. Moreover, to monitor the decrease in suspended sediment, a 4-day average image 9 to 12 days after the typhoon (SS 19−22 ), binned from the daily SS images of 19-22 August, was generated. Figure 2 shows the data processing of GOCI images in this study.  Figure 2 shows the data processing of GOCI images in this study.

Quantitative Retrieval Algorithm of SS
In this paper, SS images were derived from level-2 GOCI images by using the algorithm developed by Moon where Rrs (555) is remote sensing reflectance at a wavelength of 555 nm, and SS is reported in g/m 3 . The algorithm was implemented in the GOCI Data Processing System (GDPS) by KOSC [36].

Temporal Decay of SS after Typhoon
When showing the temporal history of hourly SS of a GOCI pixel (Figure 3), the maximum SS value ( ) was reached in a few days, varying with pixel locations, after Typhoon Soudelor made landfall on Taiwan. In this research, of each pixel was determined as the largest hourly SS value of that pixel from 11-22 August. The time when the pixel reaches is denoted as .

Quantitative Retrieval Algorithm of SS
In this paper, SS images were derived from level-2 GOCI images by using the algorithm developed by Moon et al. (2010) based on in-situ SS samples (Equation (1)) [20]: SS = 945.07 × (Rrs(555)) 1.137 (1) where Rrs (555) is remote sensing reflectance at a wavelength of 555 nm, and SS is reported in g/m 3 . The algorithm was implemented in the GOCI Data Processing System (GDPS) by KOSC [36].

Temporal Decay of SS after Typhoon
When showing the temporal history of hourly SS of a GOCI pixel (Figure 3), the maximum SS value (SS max ) was reached in a few days, varying with pixel locations, after Typhoon Soudelor made landfall on Taiwan. In this research, SS max of each pixel was determined as the largest hourly SS value of that pixel from 11-22 August. The time when the pixel reaches SS max is denoted as t max .
An interesting feature in the temporal history of SS ( Figure 3) is its decaying pattern, where the SS value decreases after t max . We proposed using a decaying model to quantify the pattern by fitting an exponential curve to hourly SS data for each GOCI pixel via regression. It was found (with internal trials) that a robust result of the regression was obtained for GOCI pixels that had more than 5 hourly SS values available after their t max . Figure 3 shows an example of the regression result depicting the decaying exponential model after t max , despite the GOCI pixel not having data from 15 to 18 August due to cloud cover. Remote Sens. 2021, 13, x FOR PEER REVIEW 5 of 12 An interesting feature in the temporal history of SS ( Figure 3) is its decaying pattern, where the SS value decreases after . We proposed using a decaying model to quantify the pattern by fitting an exponential curve to hourly SS data for each GOCI pixel via regression. It was found (with internal trials) that a robust result of the regression was obtained for GOCI pixels that had more than 5 hourly SS values available after their . Figure 3 shows an example of the regression result depicting the decaying exponential model after , despite the GOCI pixel not having data from 15 to 18 August due to cloud cover.
Ideally, taking advantage of this decaying model, the time for the pixel to return to its pre-typhoon state could be estimated using the regression result. However, it was found that the decaying exponential model of many GOCI pixels only approaches the pre-typhoon state asymptotically, i.e., the regression line shown in Figure 3 does not intersect with ̅̅̅ 4−7 . Instead, we demonstrate the use of this model by computing dissipation of 90% increased SS. This would fit for the application of coastal ecology management, as the ecosystem is resilient to a certain increase in SS for a short period of time.
The amount of increased SS, denoted as , for each GOCI pixel, can be computed as and 90 , which represents 90% of , is dissipated from its maximum value ( Figure  3).
Furthermore, the time corresponding to 90 can be identified via the regressed exponential decay and is denoted as 90 (Figure 3).

Spatial-Temporal Analysis of SS Pre-and Post-Typhoon Soudelor
During the pre-typhoon period ( ̅̅̅ 4−7 in Figure 4a), SS with a concentration of 3-6 g/m 3 was mainly distributed along the west coastal water. The mouths of both the Dajia River and Tamsui River had an SS greater than 6 g/m 3 . The SS concentration in the east coastal water was less than 3 g/m 3 .
During the post-typhoon period of 11-14 August ( ̅̅̅ 11−14 in Figure 4b), the SS of the Taiwan coastal water generally increased. The SS along the west and east coastal waters increased to values greater than 6 and 3 g/m 3 , respectively. Meanwhile, the mouths of the Ideally, taking advantage of this decaying model, the time for the pixel to return to its pre-typhoon state could be estimated using the regression result. However, it was found that the decaying exponential model of many GOCI pixels only approaches the pretyphoon state asymptotically, i.e., the regression line shown in Figure 3 does not intersect with SS 4−7 . Instead, we demonstrate the use of this model by computing dissipation of 90% increased SS. This would fit for the application of coastal ecology management, as the ecosystem is resilient to a certain increase in SS for a short period of time.
The amount of increased SS, denoted as SS a , for each GOCI pixel, can be computed as and SS 90 , which represents 90% of SS a , is dissipated from its maximum value ( Figure 3).
Furthermore, the time corresponding to SS 90 can be identified via the regressed exponential decay and is denoted as t 90 (Figure 3).

Spatial-Temporal Analysis of SS Pre-and Post-Typhoon Soudelor
During the pre-typhoon period (SS 4−7 in Figure 4a), SS with a concentration of 3-6 g/m 3 was mainly distributed along the west coastal water. The mouths of both the Dajia River and Tamsui River had an SS greater than 6 g/m 3 . The SS concentration in the east coastal water was less than 3 g/m 3 .
During the post-typhoon period of 11-14 August (SS 11−14 in Figure 4b), the SS of the Taiwan coastal water generally increased. The SS along the west and east coastal waters increased to values greater than 6 and 3 g/m 3 , respectively. Meanwhile, the mouths of the Dajia River and Tamsui River (west coastal water) had SS values greater than 9 g/m 3 and the Lanyang River mouth (east coastal water) had an SS value greater than 6 g/m 3 .
During the post-typhoon period of 19-22 August (SS 19−22 in Figure 4c), the general distribution of SS along the west coastal water was similar to that of the pre-typhoon period (Figure 5a), except for the mouths of the Dajia River and Tamsui River having an SS value greater than 9 g/m 3 . A belt with relatively high SS values (greater than 3 g/m 3 ) was found along the east coastal water with a width of approximately 3 km. In addition, the mouths of both the Lanyang River and Heping River had SS values greater than 6 g/m 3 .
the Lanyang River mouth (east coastal water) had an SS value greater than 6 g/m 3 .
During the post-typhoon period of 19-22 August (SS ̅̅̅ 19−22 in Figure 4c), the general distribution of SS along the west coastal water was similar to that of the pre-typhoon period (Figure 5a), except for the mouths of the Dajia River and Tamsui River having an SS value greater than 9 g/m 3 . A belt with relatively high SS values (greater than 3 g/m 3 ) was found along the east coastal water with a width of approximately 3 km. In addition, the mouths of both the Lanyang River and Heping River had SS values greater than 6 g/m 3 .  Comparing the SS between the post-typhoon period of 11-14 August ( ̅̅̅ 11−14 ) and pre-typhoon ( ̅̅̅ 4−7 ), it was found that all pixels increased more than 1 g/m 3 (Figure 5a), except for a tongue-shaped area (denoted by arrows in Figure 5a) located 10-20 km off the west coastal water of Taiwan. In addition, the distribution of increased SS showed prominent heterogeneity along the coastal water of Taiwan. A high increase in SS (i.e., greater than 6.0 g/m 3 ) was found at the mouths of the Dajia, Daan, Tamsui, and Lanyang the Lanyang River mouth (east coastal water) had an SS value greater than 6 g/m .
During the post-typhoon period of 19-22 August (SS ̅̅̅ 19−22 in Figure 4c), the general distribution of SS along the west coastal water was similar to that of the pre-typhoon period (Figure 5a), except for the mouths of the Dajia River and Tamsui River having an SS value greater than 9 g/m 3 . A belt with relatively high SS values (greater than 3 g/m 3 ) was found along the east coastal water with a width of approximately 3 km. In addition, the mouths of both the Lanyang River and Heping River had SS values greater than 6 g/m 3 .  Comparing the SS between the post-typhoon period of 11-14 August ( ̅̅̅ 11−14 ) and pre-typhoon ( ̅̅̅ 4−7 ), it was found that all pixels increased more than 1 g/m 3 (Figure 5a), except for a tongue-shaped area (denoted by arrows in Figure 5a) located 10-20 km off the west coastal water of Taiwan. In addition, the distribution of increased SS showed prominent heterogeneity along the coastal water of Taiwan. A high increase in SS (i.e., greater than 6.0 g/m 3 ) was found at the mouths of the Dajia, Daan, Tamsui, and Lanyang Comparing the SS between the post-typhoon period of 11-14 August (SS 11−14 ) and pretyphoon (SS 4−7 ), it was found that all pixels increased more than 1 g/m 3 (Figure 5a), except for a tongue-shaped area (denoted by arrows in Figure 5a) located 10-20 km off the west coastal water of Taiwan. In addition, the distribution of increased SS showed prominent heterogeneity along the coastal water of Taiwan. A high increase in SS (i.e., greater than 6.0 g/m 3 ) was found at the mouths of the Dajia, Daan, Tamsui, and Lanyang Rivers. Three regions with a low SS increase (less than 2 g/m 3 ) along the coast, from the Daan River mouth to Zhonggan River mouth, the Fengshan River mouth to Tamsui River mouth, and the Tamsui River to Lanyang River mouth, were also identified (Figure 5a).
Comparing the SS between two post-typhoon periods of 19-12 August (SS 19−22 ) and 11-14 August (SS 11−14 ), it was found that most of the pixels decreased while some remained with increased SS values (Figure 5b). Most of the pixels decreased to less than 3 g/m 3 . The Lanyang River mouth showed the most significant decrease of 6 g/m 3 , followed by the Zhonggang and Tauqian River mouths, with a reduction of 3 g/m 3 . In contrast, the Dajia River mouth showed an increased SS value greater than 3 g/m 3 and the Heping River mouth showed an increased SS value of 6 g/m 3 . It is also interesting to note that neighboring regions with increased SS (greater than 3 g/m 3 ) were found northeast of the Tamsui River mouth and north of the Lanyang River mouth. The regions with increased SS are indicated by arrows in Figure 5b.
With the GOCI average SS data, it was observed that SS in the west coastal water was consistently greater than that on the east coastal water regardless of the effect of Typhoon Soudelor. In addition, hotspots of high SS value (greater than 9 g/m 3 ) were found at the Dajia and Tamsui River mouth in the two post-typhoon periods (SS 11−14 and SS 19−22 ). With the GOCI data for pre-typhoon (SS 4−7 ) and post-typhoon (SS 11−14 ), it was observed that the Taiwan coastal water showed a prominent increase in SS induced by Typhoon Soudelor. Figure 6a shows a visualization of the maximum suspended sediment (SS max ) for each GOCI pixel of Taiwan coastal water during the post-typhoon period (from 08:30 on 11 August to 15:30 on 22 August). Figure 6b shows its corresponding time (t max ) derived from GOCI hourly data.

SS max and t max
River mouth, and the Tamsui River to Lanyang River mouth, were also identified ( Figure 5a).
Comparing the SS between two post-typhoon periods of 19-12 August ( ̅̅̅ 19−22 ) and 11-14 August ( ̅̅̅ 11−14 ), it was found that most of the pixels decreased while some remained with increased SS values (Figure 5b). Most of the pixels decreased to less than 3 g/m 3 . The Lanyang River mouth showed the most significant decrease of 6 g/m 3 , followed by the Zhonggang and Tauqian River mouths, with a reduction of 3 g/m 3 . In contrast, the Dajia River mouth showed an increased SS value greater than 3 g/m 3 and the Heping River mouth showed an increased SS value of 6 g/m 3 . It is also interesting to note that neighboring regions with increased SS (greater than 3 g/m 3 ) were found northeast of the Tamsui River mouth and north of the Lanyang River mouth. The regions with increased SS are indicated by arrows in Figure 5b.
With the GOCI average SS data, it was observed that SS in the west coastal water was consistently greater than that on the east coastal water regardless of the effect of Typhoon Soudelor. In addition, hotspots of high SS value (greater than 9 g/m 3 ) were found at the Dajia and Tamsui River mouth in the two post-typhoon periods ( ̅̅̅ 11−14 and ̅̅̅ 19−22 ). With the GOCI data for pre-typhoon ( ̅̅̅ 4−7 ) and post-typhoon ( ̅̅̅ 11−14 ), it was observed that the Taiwan coastal water showed a prominent increase in SS induced by Typhoon Soudelor. Figure 6a shows a visualization of the maximum suspended sediment ( ) for each GOCI pixel of Taiwan coastal water during the post-typhoon period (from 08:30 on 11 August to 15:30 on 22 August). Figure 6b shows its corresponding time ( ) derived from GOCI hourly data. Generally, the west coastal water from the Dajia River mouth to the Tamsui River mouth showed in the range of 9-15 g/m 3 with a corresponding of 0-80 h (Figure 6b). This indicates that most of the west coastal water reached during the post-typhoon period of 11-14 August (within four days after Typhoon Soudelor). The exceptions were two strips with greater than 264 h located 5 and 15 km away from the Dajia River mouth (denoted by blue arrows in Figure 6b), and three regions with greater than 216 h located near the Tamsui River mouth (denoted by red arrows in Figure  6b). Further small regions with greater than 264 h sporadically occurred in the Generally, the west coastal water from the Dajia River mouth to the Tamsui River mouth showed SS max in the range of 9-15 g/m 3 with a corresponding t max of 0-80 h (Figure 6b). This indicates that most of the west coastal water reached SS max during the post-typhoon period of 11-14 August (within four days after Typhoon Soudelor). The exceptions were two strips with t max greater than 264 h located 5 and 15 km away from the Dajia River mouth (denoted by blue arrows in Figure 6b), and three regions with t max greater than 216 h located near the Tamsui River mouth (denoted by red arrows in Figure 6b). Further small regions with t max greater than 264 h sporadically occurred in the coastal water from the Houlong River mouth to Zhonggang River mouth and the Feshang River mouth to Tamsui River mouth.

and
It is interesting to note that the general appearance of the SS max of the northeast coastal water (indicated by the dotted white rectangle) was lower than the west and east coastal waters, with a range of less than 6 g/m 3 , while its t max value showed a large variation of 0-272 h. Most of the coastal water of the northern coast had SS max values in the range of 3-6 g/m 3 with t max of 24-80 h (within four days after Typhoon Soudelor). At the west and east ends (indicated by black and white arrows, respectively, in Figure 6) of the northeast coast, SS max was in the range of 6-9 g/m 3 with a corresponding t max greater than 264 h. It also indicates that both SS max and t max of the northern coastal waters are continuous data Remote Sens. 2021, 13, 194 8 of 12 from the west and east coastal water. Even though there are no ATCG rivers in this region, SS max and t max have been linked to river-derived suspended sediment.
The east coastal water generally took a long time to reach SS max , with a range of 9-15 g/m 3 compared to the west and northeast coastal waters, with t max of 192-272 h (9-12 days after Typhoon Soudelor). The exception is the coastal water near the Lanyang River mouth, which reached an SS max with t max of 24-80 h (within 4 days after the typhoon). The coastal water near Heping River mouth showed SS max with a range of 6-15 g/m 3 corresponding to t max greater than 240 h (11-12 days after the typhoon). Interestingly, a region north of the Lanyang River mouth (indicated by yellow arrows) also showed a local high SS max of 9-15 g/m 3 with a corresponding t max value similar to the Heping River mouth. Figure 7a shows a visualization of SS 90 , which means 90% of increasing SS dissipated from its maximum value for each GOCI pixel of Taiwan coastal water. Figure 7b shows the corresponding time (t 90 ) via regressed exponential decay. coastal water (indicated by the dotted white rectangle) was lower than the west and east coastal waters, with a range of less than 6 g/m 3 , while its value showed a large variation of 0-272 h. Most of the coastal water of the northern coast had values in the range of 3-6 g/m 3 with of 24-80 h (within four days after Typhoon Soudelor). At the west and east ends (indicated by black and white arrows, respectively, in Figure 6) of the northeast coast, was in the range of 6-9 g/m 3 with a corresponding greater than 264 h. It also indicates that both and of the northern coastal waters are continuous data from the west and east coastal water. Even though there are no ATCG rivers in this region, and have been linked to river-derived suspended sediment.

SS 90 and t 90
The east coastal water generally took a long time to reach , with a range of 9-15 g/m 3 compared to the west and northeast coastal waters, with of 192-272 h (9-12 days after Typhoon Soudelor). The exception is the coastal water near the Lanyang River mouth, which reached an with of 24-80 h (within 4 days after the typhoon). The coastal water near Heping River mouth showed with a range of 6-15 g/m 3 corresponding to greater than 240 h (11-12 days after the typhoon). Interestingly, a region north of the Lanyang River mouth (indicated by yellow arrows) also showed a local high of 9-15 g/m 3 with a corresponding value similar to the Heping River mouth. Figure 7a shows a visualization of 90 , which means 90% of increasing SS dissipated from its maximum value for each GOCI pixel of Taiwan coastal water. Figure 7b shows the corresponding time ( 90 ) via regressed exponential decay. , except for the SS of the Tamsui River mouth (within 3-6 g/m 3 ; indicated by arrows in Figure 7a). Particularly, SS within 3-6 g/m 3 was observed mainly in the west coastal water, while it was less than 3 g/m 3 in the east coastal waters; SS greater than 6 g/m 3 also only appeared at the Tamsui and Dajia River mouths (Figure 7a and Figure 4a). There was a slight difference in SS located 40 km off the Tam- , except for the SS of the Tamsui River mouth (within 3-6 g/m 3 ; indicated by arrows in Figure 7a). Particularly, SS within 3-6 g/m 3 was observed mainly in the west coastal water, while it was less than 3 g/m 3 in the east coastal waters; SS greater than 6 g/m 3 also only appeared at the Tamsui and Dajia River mouths (Figures 7a and 4a). There was a slight difference in SS located 40 km off the Tamsui River mouth. SS 90 showed that the SS of 3 g/m 3 extended farther into the sea than in SS 4−7 .

90 and 90
The west coastal waters from the Dajia River mouth to the Tamsui River mouth showed a t 90 of more than 240 h, except for a tongue-shaped area with a range of 10-40 km off the west coastal water (indicated by arrows in Figure 7b), showing a t 90 of less than 240 h. The Tamsui River mouth extending within 20 km of the coastline indicated a t 90 with a range of 240-480 h.
The northeast coastal water to the Lanyang River mouth (Figure 7a) showed an SS 90 associated with a t 90 of less than 240 h, except for small scattered regions that appeared closest to the coastline with a t 90 of around 480 h (Figure 7b). Lastly, the east coastal waters from the Lanyang to Heping River mouth showed a t 90 of 360-480 h (Figure 7b).
It should be noted that some pixels available in the SS 90 are not visualized by the t 90 . There are two cases in which the decaying model works without advantages, leading to the pixel in t 90 not being visualized. When GOCI pixels (indicated by a red rectangle in Figure 7) have a gap between SS max and SS 4−7 , which is close (Figure 3), t 90 is not visualized due to no decay. When the number of GOCI pixels after t max has fewer than five values, it is also not visualized because of the lack of data (indicated by the black rectangle in Figure 7). Otherwise, the proposed methodology, which uses an exponential temporal decaying model, shows a distinct advantage when GOCI pixels have more than five hourly SS values available after their t max . It is possible to compute the t 90 with robust results post-typhoon.

Discussion
According to previous studies in Taiwan, one possible reason for the SS derived from a typhoon is that it is strongly affected by river discharge. For example, using a case study in Choshui River, Taiwan, and Typhoon Mindulle, the authors of [37] indicated that in a floodplain, more than half of the suspended sediment originating from mountain rivers running into Taiwan coastal waters was generated by river discharge. The authors of [38] observed the Jhoushui River and an adjacent coastal zone in the Taiwan Strait and summarized that the river discharges most of the sediment during the relatively short periods of torrential rain often associated with typhoons. Moreover, the authors of [39,40] indicated that suspended sediment discharge during typhoon events was linked to landslides and rainfall in Taiwan. The authors of [41] considered the impact of typhoons on sediment discharge in Taiwan. River discharge also impacted the change in sediment concentration in the Tamsui River, as discussed in [42]. Even though we have the same opinion, there are no recorded data to support the Typhoon Soudelor case. Therefore, examining the mechanical factors, such as river discharge, related to typhoons is beyond the scope of this study. We only discuss this based on the mean annual discharge data, which were provided by the Taiwan River Restoration Network [28,43].
In terms of the mean annual discharge related to the nine central rivers administered by ATCG, the Tamsui River supplies the largest amount with 7443 m 3 /s, followed by the Lanyang and Dajia Rivers with 2773 and 2596 m 3 /s, respectively. This is the reason why the Tamsui, Dajia, and Lanyang River mouths act as hotspots with high SS values (SS max above 9 g/m 3 ) during the two post-typhoon periods (SS 11−14 and SS 19−22 ). Meanwhile, other rivers show a mean annual discharge lower than 2000 m 3 /s, and they influence the coastal regions with SS max values in the range of 6-9 g/m 3 . The central rivers are mainly located in the western part of Taiwan, which may be why many GOCI pixels of the west coastal waters are more influenced than those of the east coastal waters, regardless of the effect of Typhoon Soudelor.
Other factors such as tide level, waves, wind speed, and surface currents that impact the spatiotemporal distribution of SS should also be discussed. All of these factors have been considered by many scientists. According to the authors of [44], by using shipboard observations for estimation, transport and tidal currents in the Taiwan Strait were northward (into the East China Sea). This is similar to the ocean surface current from GOCI satellite imagery in summer around the north of Taiwan coastal water being northward [45]. Therefore, we also believe that after Typhoon Soudelor, the ocean surface was a major factor in increasing the outbreak of suspended sediment north of Taiwan. However, due to the limitation of recorded data on Typhoon Soudelor, the transport mechanism responsible for the sediment warrants further investigation.

Conclusions
This paper proposes a new approach using the GOCI to monitor the spatial and temporal distribution of suspended sediment in coastal areas affected by typhoons. Remote sensing technology was used instead of other methods such as in situ measurements, numerical models, and station observations to track post-typhoon sediment concentration in Taiwan coastal waters.
The spatial distribution of SS has been highlighted by using the GOCI four-day average image of SS pre-and post-Typhoon Soudelor. As a result, several pixels with an SS above 6 g/m 3 in the west coastal waters were consistently more significant than in the east coastal waters regardless of the typhoon. The Dajia and Tamsui River mouths were hotspots of increased SS and SS max (above 9 g/m 3 ) during two post-typhoon periods (11)(12)(13)(14).
According to the GOCI hourly data after the typhoon, SS max was in the range of 6-15 g/m 3 , corresponding to t max within four days in the west coastal water, while the east coastal water was 9-12 days. Furthermore, using exponential regression decay to visualize SS 90 for each GOCI pixel in Taiwan coastal water indicates that SS 90 was in an asymptotic pre-typhoon state. The corresponding time t 90 shows that GOCI pixels in both the Tamsui and Heping River mouths generally took the longest time, in a range of 360-480 h.
River discharge could have a significant impact on the post-typhoon sediment characteristics of Taiwan coastal waters. Other factors such as tide level, waves, wind speed, and surface currents could also affect the spatiotemporal distribution of suspended sediment. We suggest that this should be investigated in the future by using a successfully recorded dataset with a new typhoon.

Data Availability Statement:
The data that support the findings of this study are available from the corresponding author upon reasonable request.