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Plot of the available spectral bands in the visual range (400–710 nm) as function of spatial resolution for seven types of sensors. The multispectral imager (MSI) provides three different resolution modes, Landsat 8 has one band more than Landsat 7 at 30-m resolution. The Medium Resolution Imaging Spectrometer (MERIS), Moderate Resolution Imaging Spectroradiometer (MODIS) and Ocean and Land Colour Instrument (OLCI) provide products at two resolutions.

Plot of the available spectral bands in the visual range (400–710 nm) as function of spatial resolution for seven types of sensors. The multispectral imager (MSI) provides three different resolution modes, Landsat 8 has one band more than Landsat 7 at 30-m resolution. The Medium Resolution Imaging Spectrometer (MERIS), Moderate Resolution Imaging Spectroradiometer (MODIS) and Ocean and Land Colour Instrument (OLCI) provide products at two resolutions.

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In the European Citclops project, with a prime aim of developing new tools to involve citizens in the water quality monitoring of natural waters, colour was identified as a simple property that can be measured via a smartphone app and by dedicated low-cost instruments. In a recent paper, we demonstrated that colour, as expressed mainly by the hue a...

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... Haffert et al. [47] developed VIS-X, a high-resolution spectrograph for the Magellan Clay 6.5 m telescope, enhancing sensitivity to protoplanetary systems and providing insights into planet formation processes in the visible spectrum. Van der Woerd et al. [48] conducted a study on the use of hue-angle products in optical satellite sensors for water quality monitoring, revealing accurate colour properties from ocean colour satellite instruments since 1997. ...
... The research begins by acquiring a dataset containing hue versus dominant wavelength values. In Van der Woerd and Wernand's [48] study, the generation of the dataset, hue values, and corresponding wavelengths involves a multi-step process. Initially, 500 simulated satellite remote sensing reflectance (Rrs) spectra are utilised, and corrected for Appl. ...
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... The spectral properties of the FU classes were described in the works of Wernand, van der Woerd and Novoa [7,8], who reproduced the FU classes with homogenous methodologies and converted them into chromaticity coordinates. This technique allows the water colour to be objectively characterized from every spectral measurement of the water, taken with field or satellite radiometers [9,10]. In this case, the limitations of the FUI-based classification system are overcome by a more detailed characterization of water colour hues, carried out by expressing water colour through chromaticity variables such as the hue angle, the dominant wavelength or the purity. ...
... The van der Woerd and Wernand procedure ( [9,10]) was used to transform Rrs into Tristimulus X Y Z values, and then into chromaticity coordinates. The entire process was performed in RStudio, using a specific script adapted from the one by Yang [18]. ...
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... Here, we generalized a water color index, the hue angle (α), as an important parameter to evaluate CDOM sources in lakes. The hue angle (α) classifies natural water bodies into 21 colors ranging from dark blue to yellow-brown according to the traditional Forel-Ule index (FUI), covering a wide range of optical properties of water bodies (Van der Woerd and Wernand, 2018;Wang et al., 2018). In recent years, the hue angle (α) has been shown to be an effective water color parameter, indicating the change in water composition, and this parameter can be obtained from high-precision multispectral satellite data (Chen et al., 2020;Chen et al., 2021;Van der Woerd and Wernand, 2018;Wang et al., 2020). ...
... The hue angle (α) classifies natural water bodies into 21 colors ranging from dark blue to yellow-brown according to the traditional Forel-Ule index (FUI), covering a wide range of optical properties of water bodies (Van der Woerd and Wernand, 2018;Wang et al., 2018). In recent years, the hue angle (α) has been shown to be an effective water color parameter, indicating the change in water composition, and this parameter can be obtained from high-precision multispectral satellite data (Chen et al., 2020;Chen et al., 2021;Van der Woerd and Wernand, 2018;Wang et al., 2020). Moreover, the Google Earth Engine (GEE) platform stores satellite images over long time series, providing an opportunity to assess CDOM sources on a large scale. ...
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... Z tristimulus values according to the algorithm proposed by Van der Woerd and Wernand (2018). The steps used in this study are listed in Table S3. ...
... Recently, an algorithm based on multispectral information acquired from satellite sensors has been proposed to derive the hue angle, an indicator that can be used to determine the λ dom of a water body (i.e., the water colour) [62,63]. This indicator is called the Forel-Ule Index (FUI) and is derived from Remote Sensing Reflectances (Rrs). ...
... The FUI is not based on local retrieval algorithms; therefore, it can characterise natural waters easily and effectively [64,65]. FUI, still used today, is a benchmark standard in numerous studies [13,51,[65][66][67][68][69][70][71], and is characterised by having a relatively low uncertainty [62,63,66]. ...
... In addition, spectral signatures were examined for outliers within the water pixels. Once the ROIs were created, they were used to extract SPM concentration and Rrs values in the Visible domain, which were needed to obtain the λ dom (water colour) via the Forel-Ule index [63]. More information on the procedure to obtain the λ dom from Landsat and S2 images can be found in [63]. ...
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... The x and y two-dimensional information has been used to monitor water, vegetation, and other ground features [22], [23], [24]. In comparison to the (x, y) color representation, it has been recently deduced that the hue angle is easily utilized for water color monitoring [25], [26], [27], [28]. However, the application of vegetation remote sensing based on reflectance-based hue angle is rarely reported. ...
... According to (4)-(7), the hue-angle D65 calculated based on a continuous reflectance spectrum using the D65 illuminant data is considered the true value of the hue angle. Furthermore, several water color remote sensing studies [25], [26], [27] have shown that the hue angle was calculated based on ground measurements and satellite data using wavelength-independent light source data, which was referred to as hue-angle noD65 in this study. As a result, S λ in (4)- (7), which was used to calculate the hue-angle noD65 , was set to 1. ...
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Guangzhou and Shenzhen are two core cities in the Guangdong-Hong Kong-Macao Greater Bay Area (GBA). It is increasingly important to regulate water quality in urban development. The Forel–Ule Index (FUI) can be obtained by optical data and is an important indicator. Therefore, we used Sentinel-2 to calculate the FUI of 41 lakes and reservoirs in Guangzhou and Shenzhen from January to December in 2016–2021, and analyzed their spatio-temporal variations, including spatial distributions, seasonal variations, and inter-annual variations. We also performed a correlation analysis of driving factors. In Guangzhou, the FUI was low in the north and west, and high in the south and east. In Shenzhen, the FUI was high in the west and low in the east. Moreover, 68% of the lakes and reservoirs in Guangzhou exhibited seasonal variations, with a low FUI in summer and autumn, and high levels in spring and winter. Shenzhen had the lowest FUI in autumn. Furthermore, 36% of the lakes and reservoirs in Guangzhou exhibited increasing inter-annual variations, whereas Shenzhen exhibited stable and decreasing inter-annual variations. Among the 41 lakes and reservoirs analyzed herein, the FUI of 10 water areas were positively correlated with precipitation, while the FUI of 31 water areas were negatively correlated with precipitation. Increased precipitation leads to an increase in external pollutants and sediment, as well as the resuspension of substances in the water, resulting in more turbid water. Therefore, an increase in precipitation is positively correlated with the FUI, whereas a decrease in precipitation is negatively correlated with the FUI. These findings can be used to design suitable management policies to maintain and control the local water quality.
... The Forel-Ule (FU) scale consists of 21 colours and is used to visually identify optical water types [35][36][37]. The Forel-Ule Index (FUI) was derived from the FU scale using the X, Y, and Z tristimulus values in the chromaticity diagram, which correspond to red (X), green (Y), and blue (Z) in the visible light spectrum, based on camera or satellite images [36,38,39]. The FUI derived from Sentinel-3 has been used to map the extent of flood plumes, with FU values of 10 or above being representative of riverine-influenced areas (primary, secondary, and tertiary plumes) [40]. ...
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... Van der Woerd et al. found that the hue angle α calculated by the multi-spectral channel exhibited a deviation ∆α of −5 • to 20 • , which was not entirely random and could be roughly described using a specific fifth-order equation for different satellite sensors [19]. For Sentinel-2 MSI, Equation (11) could be used for the approximate calculation of the hue angle deviation ∆α: ∆α = −61.805a 5 + 257.86a 4 − 300.67a 3 + 40.595a 2 + 65.296a − 9.3398 (12) where a is the hue angle α adjusted to be ranged from 0 • to 360 • and then divided by 100. ...
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