<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="data-paper">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-14-79-2022</article-id><title-group><article-title>A Landsat-derived annual inland water clarity dataset of China between 1984 and 2018</article-title><alt-title>An annual inland water clarity dataset of China</alt-title>
      </title-group><?xmltex \runningtitle{An annual inland water clarity dataset of China}?><?xmltex \runningauthor{H. Tao et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Tao</surname><given-names>Hui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Song</surname><given-names>Kaishan</given-names></name>
          <email>songkaishan@iga.ac.cn</email>
        <ext-link>https://orcid.org/0000-0001-9996-2450</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liu</surname><given-names>Ge</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Qiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wen</surname><given-names>Zhidan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Jacinthe</surname><given-names>Pierre-Andre</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xu</surname><given-names>Xiaofeng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6553-6514</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Du</surname><given-names>Jia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Shang</surname><given-names>Yingxin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Sijia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Zongming</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lyu</surname><given-names>Lili</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hou</surname><given-names>Junbin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Xiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Liu</surname><given-names>Dong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Shi</surname><given-names>Kun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zhang</surname><given-names>Baohua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff5">
          <name><surname>Duan</surname><given-names>Hongtao</given-names></name>
          <email>htduan@niglas.ac.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Center of Remote Sensing and Geographic Information, Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun, 130102, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Resources and Environment, University of the Chinese <?xmltex \hack{\break}?>Academy of Sciences, Beijing, 100049, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Environment and Planning, College of Urban Research and Planning,<?xmltex \hack{\break}?> Liaocheng University, Liaocheng, 252000, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth Sciences, Indiana University–Purdue University Indianapolis,<?xmltex \hack{\break}?> Indianapolis, IN 46202, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Key Laboratory of Watershed Geographic Sciences, Nanjing Institute of Geography and Limnology,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Nanjing, 210008, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Kaishan Song (songkaishan@iga.ac.cn) and Hongtao Duan (htduan@niglas.ac.cn)</corresp></author-notes><pub-date><day>13</day><month>January</month><year>2022</year></pub-date>
      
      <volume>14</volume>
      <issue>1</issue>
      <fpage>79</fpage><lpage>94</lpage>
      <history>
        <date date-type="received"><day>2</day><month>July</month><year>2021</year></date>
           <date date-type="rev-request"><day>22</day><month>July</month><year>2021</year></date>
           <date date-type="rev-recd"><day>30</day><month>November</month><year>2021</year></date>
           <date date-type="accepted"><day>30</day><month>November</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Hui Tao et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022.html">This article is available from https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e274">Water clarity serves as a sensitive tool for understanding the
spatial pattern and historical trend in lakes' trophic status. Despite the
wide availability of remotely sensed data, this metric has not been fully
explored for long-term environmental monitoring. To this end, we utilized
Landsat top-of-atmosphere reflectance products within Google Earth
Engine in the period 1984–2018 to retrieve the average Secchi disk depth (SDD) for each lake in
each year. Three SDD datasets were used for model
calibration and validation from different field campaigns mainly conducted
during 2004–2018. The red <inline-formula><mml:math id="M1" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> blue band ratio algorithm was applied to map SDD
for lakes (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) based on the first SDD dataset, where <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula> and relative RMSE (rRMSE) <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">61.9</mml:mn></mml:mrow></mml:math></inline-formula>  %. The other two datasets were used to validate the temporal transferability of the SDD estimation model, which confirmed the stable performance of the model. The spatiotemporal dynamics of SDD were analyzed at the five lake regions and individual lake scales, and the average, changing trend, lake number and area, and spatial distribution of lake SDDs across China were presented. In 2018, we found the number of lakes with SDD <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m accounted for the largest proportion (80.93 %) of the total lakes, but the total areas of lakes with SDD of <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m were the largest, both accounting for about 24.00 % of the total lakes. During 1984–2018, lakes in the Tibetan–Qinghai Plateau region (TQR) had the clearest water with an average value of <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula> m, while that in the northeastern region (NLR) exhibited the lowest SDD (mean <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> m). Among the 10 814 lakes with SDD results for more than 10 years, 55.42 % and 3.49 % of lakes experienced significant increasing and decreasing trends, respectively. At the five lake regions, except for the Inner Mongolia–Xinjiang region (MXR), more than half of the total lakes in
every other region exhibited significant increasing trends. In the eastern
region (ELR), NLR and Yungui Plateau region (YGR), almost more than 50 % of the lakes that displayed increase or decrease in SDD were mainly distributed in the area range of 0.01–1 km<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, whereas those in the TQR and MXR were primarily concentrated in large lakes (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). Spatially, lakes located in the plateau regions generally
exhibited higher SDD than those situated in the flat plain regions. The
dataset is freely available at the National Tibetan Plateau Data Center
(<ext-link xlink:href="https://doi.org/10.11888/Hydro.tpdc.271571" ext-link-type="DOI">10.11888/Hydro.tpdc.271571</ext-link>, Tao et al., 2021).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<?pagebreak page80?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e424">Lakes and reservoirs are important aquatic habitats and serve as freshwater water sources for drinking, industrial and agricultural uses (Pekel et al., 2016; Tranvik et al., 2009; Wetzel, 2001). More than 26 000 lakes (with area <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) and 78 000 reservoirs are distributed
across China (Song et al., 2018a), providing multiple ecosystem services
(S. L. Feng et al., 2019; Lehner and Doll, 2004; Tranvik et al., 2009; Yang and
Lu, 2014). Over the last 4 decades, China has made considerable
achievements with respect to socio-economic development but has also faced
increasing water pollution challenges due to, among other contributing
factors, agricultural nonpoint pollution, wastewater discharge, urban
expansion and increased water consumption (Han et al., 2016; Qin et al., 2010; Tong et al., 2017). Eutrophication and algal bloom proliferation are
the clearest manifestations of these water quality problems, and major
efforts have been made (afforestation, conversion of cropland to grassland
or wetland) to mitigate these impacts and restore the ecological integrity
of inland water systems (Huang et al., 2016; Ma et al., 2020; Tong et al., 2020).</p>
      <p id="d1e446">Across the country, the number of stations dedicated to the monitoring of
water quality in lakes (59) and reservoirs (52) is very limited in
comparison to the national inventory of lakes and reservoirs (SOEE, 2018).
Water resource managers in China clearly need better assessment tools to
monitor inland water quality (Rosenzweig et al., 2011). Commonly expressed
as the Secchi disk depth (SDD) (Carlson, 1977), water clarity provides both a
practical and a comprehensive measure of the trophic state of aquatic
ecosystems (Olmanson et al., 2008; Richardson et al., 2010). However,
traditional SDD measurements are limited in terms of their suitability for
monitoring large water bodies exhibiting strong spatiotemporal dynamics
(Kloiber et al., 2002; Song et al., 2020). Although a Secchi disk apparatus
is easy to operate in the field, water clarity monitoring in lakes or
reservoirs (herein lakes) located in remote areas can be nearly impossible
without aquatic vehicles and may not yield data with sufficient spatial and
temporal frequency for trend analysis (Kloiber et al., 2002;
Olmanson et al., 2008).</p>
      <p id="d1e449">The abundance of optically active constituents (OACs; phytoplankton,
non-algal particles and CDOM) is related to the trophic status of aquatic
ecosystems and also contributes to water clarity and water surface
reflectance, which can be captured by spaceborne sensors (Gordon et al., 1983; Lee et al., 2015). Remote sensing has been widely used for monitoring
the spatiotemporal dynamics of SDD at regional and national scales.
Available methods for SDD estimation using remote sensing data can be
grouped into three categories: analytical, semi-analytical and empirical
algorithms (Doron et al., 2007; Lee et al., 2015; G. Liu et al., 2020;
McCullough et al., 2013; Olmanson et al., 2008, 2011). The
first two methods are difficult to apply to large-scale studies (provincial
and national scales) due to the complex theoretical models and parameterization processes and expensive equipment required (Cao et al., 2017; Giardino et al., 2007). The last group of methods is widely used to retrieve SDD at multiple scales due to its simplicity and operability (Duan et al., 2009; L. Feng et al., 2019; McCullough et al., 2012; Olmanson et al., 2011; Shen et al., 2020).</p>
      <p id="d1e452">In the past, we faced the challenge of how to handle and analyze big data at
national or global scales, like remote sensing datasets from different
satellites. Since 2010, Google has hosted a big geo-data platform based
on cloud computing, named Google Earth Engine (GEE), which is time-saving
for users, who can conduct scientific research online (into topics such as vegetation,
agriculture, hydrology and land cover) without
downloading these satellite images (Amani et al., 2020). The GEE platform
mainly comprises datasets of remote sensing, geophysics and meteorology. The
remote sensing datasets contain Landsat (1972–present), Moderate Resolution
Imaging Spectrometer (MODIS; 2000–present) and Sentinel (2014–present)
(<uri>https://code.earthengine.google.com/</uri>, last access: last access: 5 January 2022). Remote sensing images are
selectively used to estimate SDD for specific regions according to their
spatial and temporal resolutions, among which the Landsat images can be used to not
only examine the long-term (3–4 decades) spatiotemporal variation
in SDD but also monitor lakes ranging from small to large with its
higher spatial resolution (30 m). Therefore, the GEE platform is an optimal
choice to quickly map SDD long-time-series dynamics based on Landsat
observation across China.</p>
      <p id="d1e459">In recent years, a few studies have examined the spatiotemporal dynamics of
SDD in lakes across China, but they have mainly focused on the large lakes and
reservoirs (area <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) (D. Liu et al., 2020; S. Wang et al., 2020; Zhang et al., 2021). Smaller lakes (area <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) are
widely distributed across the country, but our understanding of their
ecological status remains limited. For example, D. Liu et al. (2020) used an
empirical model and the MODIS red and green bands (2000–2018) within GEE to
study SDD variation in 412 large lakes (area <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) across China. S. Wang et al. (2020) applied water color parameters (Forel–Ule
index and hue angle) to MODIS data (2000–2017) and obtained SDD data for 153
lakes (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) across China. Zhang et al. (2021) built a
simple power function model based on the Landsat red band (2016–2018) to
investigate the spatial distribution of SDD in 641 lakes (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)
across China. In addition, other investigations of the spatiotemporal
variations in SDD have been made using MODIS data for lakes in the Yangtze
Plain (50 lakes, <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; L. Feng et al., 2019) and in the
Tibetan Plateau (64 lakes, <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; Pi et al., 2020). In
these studies, the empirical models<?pagebreak page81?> exhibited better ability than other
models to estimate SDD at large scales.</p>
      <p id="d1e597">In this study, we tuned a recently developed SDD empirical model which has
been demonstrated as effective to map the spatial–temporal dynamics of SDD
in surface waters based on atmospherically corrected Landsat reflectance
products in GEE (Song et al., 2020). The overall purpose of this study was
to map the spatiotemporal variation in SDD in lakes (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) across China from 1984 to 2018. Specifically, the
objectives were to (1) built a lake SDD estimation model across China based
on extensive in situ measurements, (2) derive SDD of lakes across China using Landsat data embedded in GEE, and (3) analyze the interannual variability in SDD at the lake regions' scale and the individual lake scale. Such research provides valuable information regarding water quality conditions and can
inform future water resource planning and management.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study area</title>
      <p id="d1e627">China is a vast and physiographically diverse country endowed with a large
number of lakes. Based on broad regional variations of landforms and climate
characteristics, the lakes in China have been grouped into five regions (Ma
et al., 2011) (Fig. 1a). The Inner Mongolia–Xinjiang lake region (MXR) and
Tibetan–Qinghai Plateau lake region (TQR) are located in arid or semiarid
climates, while the northeastern lake region (NLR), Yungui Plateau lake
region (YGR) and eastern lake region (ELR) are situated in the Asian monsoon
climate zone. The MXR and TQR have lower annual precipitation, lower
temperature and a higher evaporation level than other three lake regions.
Regionally, the lakes' distribution sourced from Song et al. (2020) is as follows
(in decreasing order): 49 % in the ELR, 22 % in the NLR, 18 % in the YGR, 8 % in the MXR and 4 % in the TQR (Fig. 1b). However, on the basis of lake surface area, regional distribution is slightly different and is in the following order: TQR (41 %) <inline-formula><mml:math id="M32" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ELR (30 %) <inline-formula><mml:math id="M33" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> MXR (14 %) <inline-formula><mml:math id="M34" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula>
NLR (10 %) <inline-formula><mml:math id="M35" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> ELR (6 %) (Fig. 1b). The lakes in the plateau
region with higher elevation are less affected by human activities and
generally exhibit better ecological conditions than lakes in the other
regions (Zhang et al., 2019). In contrast, the lakes in the plain regions
are frequently influenced by anthropogenic activities, such as urbanization,
population growth, agricultural fertilizer and wastewater discharge (L. Feng et al., 2019; Tong et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e660">The geographical distribution of lakes with water clarity (SDD)
records of more than 10 years (lake area <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>;
<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">336</mml:mn></mml:mrow></mml:math></inline-formula>) in different lake regions across China <bold>(a)</bold>. The percentage
distribution of lakes, based on the number of lakes and lake surface area
in the five lake regions, is shown in the pie charts. The left one (green
box) is based on all lakes extracted from Landsat images <bold>(b)</bold>, while the lower left corner one (red box) is based on lakes with SDD records of more than 10 years <bold>(c)</bold>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Water body mask</title>
      <p id="d1e728">Following Song et al. (2020), the lake boundaries (lakes and reservoirs)
with area <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> across China were derived from Landsat 8 Operational Land Imager (OLI) images mainly acquired in 2016, and detailed description of boundary
extraction is available in that study. However, some lakes in China have
changed substantially over time. These lakes were dealt with separately to
obtain their boundaries in each year during the period 1984–2018. To obtain
the information of lake area variation (e.g., size and year), we referred to
an analysis on multi-decadal lake area (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in size) changes in
China from the 1960s to 2015 (Zhang et al., 2019) (Fig. S1 in the Supplement). The datasets of lake boundaries (1960s–2020) have been released by the National Tibetan
Plateau Data Centre. As for the reservoirs, we mainly viewed and compared
the Landsat natural color images on the website of Earthdata Search
(<uri>https://search.earthdata.nasa.gov/</uri>, last access: 5 January 2022) and historical images embedded in
Google Earth to confirm the changing region, respectively. For the small
lakes with area <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> obtained from the study of Song et al. (2020), we assumed their boundaries remained unchanged during the study
period.</p>
      <p id="d1e792">We extracted the boundaries of these changing lakes using Landsat images
during 1984–2018. The cloudless top-of-atmosphere (TOA) image of each path and row was
downloaded from the GEE platform and processed to obtain the modified
normalized difference water index (MNDWI) as follows:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M45" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:mtext mathvariant="normal">MNDWI</mml:mtext><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Green</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SWIR</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mfenced open="/" close=""><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Green</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SWIR</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mfenced><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Green</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">rc</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SWIR</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the Rayleigh scattering reflectance in the green band and shortwave infrared (SWIR) band,
respectively. First, we used the MNDWI, combined with tasseled cap
transformation (TC) and a density slicing with multi-threshold approach, to
build a decision tree for extracting water body boundaries using the ENVI
software package (Rokni et al., 2014; Xu, 2006). Then, Landsat images
acquired during 1984–2018 were classified into water and non-water areas
(Feyisa et al., 2014; X. Wang et al., 2020). The extracted water bodies were
subsequently converted into polygons with contiguous pixels and stored in
shape file format using ArcGIS 10.4 (Esri Inc., Redlands, CA, USA).
According to the shoreline features, we divided water bodies into lakes,
reservoirs and rivers. By referring to the Global Reservoir and Dam
database (Lehner et al., 2011), Chinese Reservoirs and Dams database (Song et al., 2018b), and
high-resolution images from Google Earth, we distinguished rivers and
reservoirs from water bodies mainly by visual interpretation. The shape file
of lakes and reservoirs (herein lakes) was used as a water mask to extract
the SDD map derived from the Landsat imageries (Fig. 1a).</p>
      <p id="d1e897">The impact of land contamination on water remains a challenge in terms of accurately
retrieving water quality parameters (Jensen, 2006; Hou et al., 2017; D. Liu et
al., 2020; S. Wang et al., 2020). Jensen (2006) pointed out that the
different surface objects have different reflectances to the NIR band. For
instance, land and vegetation can largely reflect the NIR band strongly
absorbed by water, especially for shallow lakes or reservoirs. In our
study, a 1-pixel (2-pixel) buffer inward of water boundary was removed
for lakes with an area <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) in order to avoid the influence<?pagebreak page82?> of adjacent land on water bodies that can result in mixed land–water pixels. The determination of the number of pixels buffered was referenced to the method proposed in the study of Wang et al. (2018), who made a comparison of water-leaving
reflectance in the transects selected from the land–water boundaries to
identify a suitable buffer distance. This method has been demonstrated to be
effective in other studies related to SDD estimation (D. Liu et al., 2020;
S. Wang et al., 2020).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>SDD in situ data collection across China</title>
      <p id="d1e946">We used three SDD datasets for model calibration and validation (Fig. 2a). To
assemble the first dataset (IGA-04-19), we conducted 37 field campaigns from
April 2004 to September 2018; surveyed 361 water bodies; and collected 2293
samples from lakes and reservoirs across China (Table S1 in the Supplement), most of which
were collected in late summer and early autumn. The second dataset was
assembled from field campaigns (2007–2009) conducted by researchers from the
Nanjing Institute of Geography and Limnology, Chinese Academy of Sciences.
The third dataset (229 samples) was collected by different research groups
during the 1980s–1990s and included records for which the data collection date was
not available. The spatial distribution of these three groups samples is
shown in Fig. 2a. At each station, Secchi disk depth (SDD, in cm) was
determined to represent water clarity and was taken as the depth from the water
surface where a black–white Secchi disk can no longer be seen under water.
For the first two datasets, SDD data derived from field surveys (2004–2018)
were matched with the TOA reflectance data collected by
Landsat satellites overpassing a lake/reservoir within 7 d of a field site
visit, and the average reflectance of pixels within a <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> window
matching a sampling point was extracted for bands 1–5 (Kloiber et al., 2002). After matching the in situ SDD with images, altogether, 1301 and 340 pairs
of data were obtained based on the first and second SDD datasets,
respectively. For the third dataset, the cloud-free TOA images whose dates
were closest to the time recorded on the lake survey reports were selected to
match the measured SDD, which were between May and October during the period
of field survey. Finally, 229 matchups were found by expanding the time
window between the third dataset of SDD and images.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e963">Location of the sampled water bodies (lakes or reservoirs) and
Landsat Worldwide Reference System 2 (WRS-2) path/row based on © Google Earth images across China <bold>(a)</bold>. Number of Landsat scenes used in ice-free season from 1984 to 2018 <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Acquisition and processing of Landsat imagery data</title>
      <p id="d1e986">To track the dynamics of lake SDD in the past 35 years, all available
Landsat Thematic Mapper (TM)/Enhanced Thematic Mapper Plus (ETM<inline-formula><mml:math id="M53" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>)/OLI images of TOA across China were used in this study
(<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">82</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> images, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> TB of data) via the GEE platform.
The number of images used for the SDD estimate in a specific year spanned a
large range, from 371 in 1984 to 4784 in 2018 (Fig. 2b), with more images
available when two satellites operated simultaneously in space to acquire
Landsat imagery. In this study, based on the GEE platform, the TOA images
were mainly collected during the ice-free season (May to October) from 1984
to 2018 in the TQR, MXR, NLR and ELR but not in the YGR (from January to
December) due to lack of good-quality images. The pixel_qa band, as a pixel quality control band generated from the CFMask algorithm, was selected to mask out the land and snow/ice and to remove cloud contamination (cloud cover <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) on the GEE platform, thus minimizing the potential impact of cloud on SDD estimation accuracy. Landsat
imagery atmospheric correction is a key step for water quality inversion
(Wang et al., 2009), particularly for monitoring of temporal variation at a
large scale. The TOA products within GEE were produced using the equations
developed by Chander et al. (2009), and the function of these equations was
to convert calibrated digital numbers to absolute units of TOA reflectance.
A description of Landsat TOA products is available on the GEE<?pagebreak page84?> platform
(<uri>https://developers.google.com/earth-engine/datasets/catalog/landsat</uri>, last access: 5 January 2022). More
than 98.35 % of the pixels within China had a total of qualified
observations <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> in the past 35 years, and the majority of
images had more than three scenes of good observations for each year.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Model for SDD estimation and mapping in GEE</title>
      <p id="d1e1051">Model development was a key step in this study. For the first matchup
dataset, i.e., 1301 pairs of in situ SDD and TOA, we divided the valid data into four groups, with three groups used to calibrate the model (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">976</mml:mn></mml:mrow></mml:math></inline-formula>) and one group (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">325</mml:mn></mml:mrow></mml:math></inline-formula>) used for model validation. Based on a previous
investigation, the red and blue (or green) band ratio was found to improve
the performance of reflectance-based water quality models in terms of
both their spatial and their temporal transferability (Kloiber et al., 2002; Olmanson
et al., 2008; Song et al., 2020). Thus, by trying the band combination, the
red <inline-formula><mml:math id="M60" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> blue band ratio algorithm using the first matched dataset was employed
in this study to map SDD of water bodies and was mathematically expressed
as
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M61" display="block"><mml:mrow><mml:mtext>Ln</mml:mtext><mml:mo>(</mml:mo><mml:mtext>SDD</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.6828</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mtext>Red</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>Blue</mml:mtext><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.8413</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Then, combining the aforementioned image-processing methods, Eq. (1) was
applied to the TOA images from 1984 to 2018 to estimate the SDD in the lakes
with an area <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> over China via the GEE
platform. The annual mean SDDs at the pixel scale were obtained by averaging
all available estimated results, and then the lake-based annual mean SDDs
were further worked out. During the calculations, we only took into
consideration lakes with SDD results of more than 10 years. Finally, 10 814
lakes (size <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) were examined for the interannual dynamics of SDD (Fig. 1c).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Statistical analysis</title>
      <p id="d1e1174">The SDD estimation model performance was assessed using the determination coefficient (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), RMSE, relative RMSE (rRMSE) and mean absolute error
(MAE).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M67" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>RMSE</mml:mtext><mml:mo>=</mml:mo><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">estimated</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">observed</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>rRMSE</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mtext>RMSE</mml:mtext><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">observed</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>MAE</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:mfenced open="|" close="|"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">estimated</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">observed</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M68" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> refers to the number of water samples, <inline-formula><mml:math id="M69" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> refers to the current water sample number, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">observed</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> refers to the in situ SDD measurements, <inline-formula><mml:math id="M71" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">observed</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> refers to the average of observed <inline-formula><mml:math id="M72" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">estimated</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> refers to the estimated SDD from the Landsat data.</p>
      <p id="d1e1422">Once the annual mean SDD maps were generated, the average SDD for each
pixel within a lake was calculated for the observation period (1984–2018).
For each lake region and individual lake, the spatiotemporal dynamics in SDD
were analyzed, including the variations in the average, changing trend,
number of lakes and lake surface area. The interannual changing trend was
assessed at the 5 % significance level and the slope from linear
regression analysis between SDD values and years. These analyses were
conducted with the IBM SPSS software. Based on the analysis of interannual
change trend in SDD, the lakes in China were divided into three types –
lakes with SDD showing significant increasing (Type I, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>
and slope <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), significant decreasing (Type II, <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> and slope <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and non-significant (Type III, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) trends from 1984–2018.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Validation of SDD estimation model</title>
      <p id="d1e1490">The estimation model of lake SDD across China was built using three-quarters of the
first matched dataset (976 samples), for which the <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, RMSE, rRMSE and
MAE were 0.79, 100.3 cm, 61.9 % and 57.7 cm, respectively (Fig. 3a). Then, we used 325 samples (one-quarter of the first matched dataset) to validate the model, and the validation results indicated stable performance by showing
comparative errors (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula>; RMSE <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">92.7</mml:mn></mml:mrow></mml:math></inline-formula> cm; rRMSE <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">57.6</mml:mn></mml:mrow></mml:math></inline-formula> %; MAE <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">54.9</mml:mn></mml:mrow></mml:math></inline-formula> cm; Fig. 3b). Further, the second and the third datasets were both used to validate model performance with a major focus on testing the temporal transferability of the model (Fig. 3c, d). The second dataset (340 samples), collected as part of the Chinese lakes survey conducted by the Nanjing Institute of Geography and Limnology, also indicated a good model performance (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula>; RMSE <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">74.7</mml:mn></mml:mrow></mml:math></inline-formula> cm; rRMSE <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">59.1</mml:mn></mml:mrow></mml:math></inline-formula> %; MAE <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">42.6</mml:mn></mml:mrow></mml:math></inline-formula> cm; Fig. 3c). The third dataset (229 samples) was assembled by the first lake surveys conducted in the 1980s and was used to validate the model performance for SDD derived from historical remotely sensed data. Our results also demonstrated a stable performance for lake SDD before the 1990s (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>; RMSE <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">61.8</mml:mn></mml:mrow></mml:math></inline-formula> cm; rRMSE <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50.6</mml:mn></mml:mrow></mml:math></inline-formula> %; MAE <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40.3</mml:mn></mml:mrow></mml:math></inline-formula> cm; Fig. 3d). Comparison of validation results for these different periods and datasets demonstrated the stable performance of the SDD model (Fig. 3). Therefore, the estimation of SDD using images acquired by Landsat series of sensors provides a reliable method to examine historical trends in SDD through time series analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1643">Model calibration and validation for SDD estimation with the Landsat TOA reflectance product acquired by different Landsat sensors: <bold>(a)</bold> model
calibration with three-quarters of the total number of samples from the first dataset,
<bold>(b)</bold> model validated with one-quarter of the total number of samples from the first dataset, <bold>(c)</bold> model validated with the second dataset independently collected
during the limnological survey (2007–2009) and <bold>(d)</bold> model validated with the third dataset collected in the first lake environmental survey during 1985–1990.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Spatial distribution of SDD in lakes in 2018</title>
      <p id="d1e1673">Figure 4a shows the spatial distribution of the annual mean SDD of lakes across
China in 2018, demonstrating remarkable spatial variation, with lakes in the
plateau regions generally exhibiting higher SDD than those situated in the
flat plain regions. Based on their mean SDD, all lakes across China in 2018
were divided into six levels, i.e., <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>, 0.5–1, 1–2, 2–3, 3–4 and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m, with 26.4 %, 25.7 %, 28.8 %,<?pagebreak page85?> 12.5 %,
4.3 % and 2.3 % of lakes in each SDD level, respectively (Fig. 4b).
Although the number of lakes with SDD <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m was more numerous
(80.9 % of lakes), the total area of lakes with SDD of <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m was the largest, accounting for 24 % and 24.3 % of the
total area in each category, respectively (Fig. 4c).</p>
      <p id="d1e1726">Regarding the annual mean SDD in the five lake regions, the top three
regions were the TQR (3.37 m), YGR (2.35 m) and MXR (1.92 m), followed by the ELR (1.50 m) and NLR (0.69 m) (Fig. 4d). Except for the YGR, lakes with SDD <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m were most common, accounting for 96 % (NLR), 82.8 % (ELR), 80.5 % (MXR) and 77.6 % (TQR) of all lakes in the other regions, respectively (Fig. 4e). In the YGR, the lakes with SDD in the 1–3 m range had a wide distribution, and the total proportion of lakes with SDD <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> m was 85.4 % in this region (Fig. 4e). Spatially, the lakes were widely scattered over the ELR, except for the northern and western sections of that
region (i.e., northern and southern of Hebei province, northeast of Henan
province, northwest of Shandong province, and west of Hubei and Hunan
provinces). The lakes in the NLR were located in the northwest and southwest
of the region. In the YGR, the lakes were clustered in the southern and
northeast of the region (i.e., mid-east of Sichuan province and most of
Yunnan and Guangxi provinces). A large number of lakes were inventoried in
the TQR, including a collection of large lakes situated in the mid-west and
eastern sections of the region, particularly in northwest Tibet and in the
western and eastern sections of Qinghai province. In the MXR, the lakes were
mainly distributed in the mid-east and mid-west of Inner Mongolia and parts
of the western and northern Xinjiang Uygur Autonomous Region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1751">Annual mean SDD of lakes (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) across China in 2018. <bold>(a)</bold> Spatial distribution of lakes with SDD values. <bold>(b)</bold> Proportion of the lake number with SDD values for six levels (i.e., <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>, 0.5–1, 1–2, 2–3, 3–4 and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m). <bold>(c)</bold> Proportion
of the lake area for six SDD levels. <bold>(d)</bold> Annual mean SDDs in the five lake regions. <bold>(e)</bold> Proportion of the lake number at different SDD levels in the five lake regions.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f04.png"/>

      </fig>

</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Interannual dynamics of lake SDD during 1984–2018</title>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Temporal average and trend in lake SDD</title>
      <p id="d1e1830">Similarly to the spatial pattern of SDD estimates obtained in 2018, the
multi-year average SDD values in each lake region also revealed similar
trends; i.e., the lakes located in the plateau region were more transparent
than lakes from other physiographic regions (Fig. 5a). During 1984–2018, the
lakes in the NLR exhibited the lowest SDD (mean <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> m),
followed by the ELR (mean <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> m). The MXR showed intermediate
SDD values (mean <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula> m), and the YGR exhibited higher SDD (mean <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula> m). Lakes in the TQP had the clearest
water (mean SDD <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula> m; Fig. 5a). As shown in Fig. 5a, mean
annual SDD estimates in the five lake regions were in agreement with in situ-measured SDD.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1895">The interannual dynamics of lake SDDs in China during 1984–2018.
<bold>(a)</bold> Multi-year average SDD values of the modeled and in situ SDDs in the five lake regions. <bold>(b)</bold> Interannual trends of mean lake SDDs in five lake regions based on the 5 % significant level and slope representing the coefficient of simple linear regression. <bold>(c)</bold> Number of lakes with SDD showing statistically significant (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) increasing (Type I) and decreasing (Type II) trends and non-significant (Type III) trends. Proportions of
lake numbers with different SDD values (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>, 0.5–1, 1–2, 2–3, 3–4 and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m) for <bold>(d)</bold> lakes with SDD showing significant
increasing trend, <bold>(e)</bold> lakes with SDD showing significant decreasing trend
and <bold>(f)</bold> lakes with SDD showing no significant trend.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f05.png"/>

        </fig>

      <p id="d1e1955">Regarding the interannual change trend, with the exception of the TQR,
results for the other four lake regions indicated a significant (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) increasing trend in SDD during the study period (Fig. 5b). At the
scale of individual lakes, 55.4 % (5993 out of 10 814) and 3.5 % (377 out of 10 814) of lakes experienced statistically significant (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) increasing and decreasing trends, respectively, and the remaining
lakes (41.1 %, 4444 out of 10 814) displayed no significant change (Fig. 5c). Among the five lake regions, except for the MXR, more than half of all lakes exhibited significant increasing trends (Fig. 5c). Ranked by the total number of lakes exhibiting a significant increase in SDD, the lake regions can be ordered as follows: TQR (61.7 %, 618 out of 1002), ELR (57.1 %, 3396 out of 5943), YGR (54.6 %, 829 out of 1517) and NLR (51.3 %, 784 out of 1528). As for the lakes with decreasing SDD values, the NLR had the highest number of such lakes (8.4 %, 128 out of 1528) followed by the MXR (7 %, 58 out of 824) (Fig. 5c).</p>
      <p id="d1e1983">Among the three types of lake – lakes with SDD showing significant
increasing (Type I), significant decreasing (Type II) and non-significant (Type III)
trends from 1984 to 2018, the lake SDDs in Type I, Type II and Type III
were mainly concentrated in 0.5–3, 0–2 and 0–3 m, respectively; the
corresponding proportions were 81.11 % (4861 out of 5993), 80.11 %
(302 out of 377) and 85.13 % (3783 out of 4444) of the total number of
lakes, respectively (Fig. 5d–f). At the five lake regions' scale, regardless
of the lake type, the distributions of lake SDDs in the NLR, TQR and MXR
appeared similar, while those in the ELR and YGR differed from these three
lake regions. The former group was mainly distributed in 0–2 m; the latter ranged
0.5–3 m (ELR) and 1–4 m (YGR), respectively (Fig. 5d–f).</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><title>Lake SDDs versus lake sizes in China</title>
      <p id="d1e1994">The annual mean SDD and lake area were both separated into six levels, and
the proportions of lakes with different areas in each SDD category are shown
in Fig. 6. In terms of the number of different lake areas in the five lake
regions, the lakes with annual mean SDD values in the ELR, NLR and YGR were
dominated by the area range of 0.01–1 km<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, followed by that of 1–10 km<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. In the MXR, the lakes were mainly dominated by the area range of 1–10 km<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, followed by that of 0.01–1 km<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6a–f). In the TQR, when the SDDs were <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m, the lakes covering the area range of 1–10 km<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were in the majority (Fig. 6a–c); when the SDDs were <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m,
the lakes with the area range <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> occupied a<?pagebreak page87?> dominant
position, especially for lakes with the area range of 10–50 and
100–500 km<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6d–f).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2093">Proportions of lake numbers in different areas in the six SDD categories. The six SDD categories are <bold>(a)</bold> <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m, <bold>(b)</bold> 0.5–1 m,
<bold>(c)</bold> 1–2 m, <bold>(d)</bold> 2–3 m, <bold>(e)</bold> 3–4 m and <bold>(f)</bold> <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m. The SDD values are the average of estimated results in each lake during 1984–2018. In the five lake regions, the lakes are further divided into three types – lakes with SDD showing significant increasing (Type I), significant decreasing (Type II) and non-significant (Type III) trends during 1984–2018.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f06.png"/>

        </fig>

      <p id="d1e2141">Among the three types of lake in each SDD category, there is a similarity
in the distribution of lakes with different sizes between Type I and
Type III, while that of Type II was differentiated from these two types of lake
(Fig. 6). In the ELR, NLR and YGR, more than 50 % of the lakes
ranged 0.01–1 km<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> among the lakes of Type I and Type III. The lakes of
Type II, located in the three lake regions and with SDD values of 0.5–1 m in
the ELR and of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and 2–3 m in the NLR, were dominated by the
area size of 1–10 km<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, while the remaining lakes were mostly with the
area range of 0.01–1 km<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6a–f). In the MXR, the number of lakes
covering the area range of 1–10 km<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> across the three types of lake was
much larger than that of other sizes among the lakes with SDDs in the range
0–3 m (Fig. 6a–d). When the lake SDDs were <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> m in this lake
region, most of the three types of lake were dominated by the lakes
covering the area range of 0.01–1 km<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, apart from the lakes of Type III with SDD values <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m, where the proportion of lakes with the area
range of 1–10 km<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> was slightly higher than that with the area range of
0.01–1 km<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6e–f).</p>
      <?pagebreak page89?><p id="d1e2239">The distribution of the three types of lake with different lake sizes in
the TQR differed from those in the other four lake regions. For the lakes of
Type I and Type III in the TQR, when the SDDs ranged 0–2 m, the proportions
of lakes covering the area range of 1–10 km<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were the largest,
somewhere between 49.64 % and 81.12 % (Fig. 6a–c). When the SDDs ranged 2–3 m, the lakes with the area range of 10–50 km<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in Type I and of 100–500 km<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in Type III had the largest proportions of numbers, accounting for 40.43 % and 35.00 %, respectively (Fig. 6d). When the SDDs exceeded 3 m, the lakes covering the area range of 100–500 km<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were dominant in the two types of lake, followed by the area range of 10–50 km<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6e–f). For the lakes of Type II in the TQR, the lakes with SDDs in the <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m category were distributed in the area range of 10–50 km<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, followed by that of 50–100 km<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 6a). When SDDs were in the 0.5–1 m category, the numbers of lakes with the area range of 1–10 and 10–50 km<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were the largest, where the corresponding percentages were 40.00 % (Fig. 6b). When SDDs were in the 1–2 m category, there were two kinds of lake whose areas were in the range of 0.01–1 and 50–100 km<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, and their numbers were the same (Fig. 6c). When SDDs were in the 3–4 m category, only the lakes with the area range of 1–10 km<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> existed (Fig. 6e).</p>
</sec>
<sec id="Ch1.S6.SS3">
  <label>6.3</label><title>Spatial distribution of lakes with different SDD values</title>
      <p id="d1e2351">The spatial distributions of lakes and the number of lakes and areas of
the three types of lake in five lake regions are presented in Fig. 7. In
the SDD of <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m category (Fig. 7a), the NLR had the largest lake
numbers and areas of the three types of lake, accounting for 34.51 % and
33.20 % in Type I, 63.19 % and 48.17 % in Type II, and 44.46 % and 34.38 % in Type III of the number of lakes and areas in the lake region, respectively. Spatially, the lakes in Type I and Type III were mainly
distributed in the central section of the ELR, the western section of the
NLR, the mid-west of the TQR and the mid-east of the MXR, while those in
Type II were concentrated on the western section of the NLR and eastern
section of the MXR.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2366">Spatial distribution of lakes with multi-year average SDD values
during 1984–2018. The SDD values were divided into six levels: <bold>(a)</bold> <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m, <bold>(b)</bold> 0.5–1 m, <bold>(c)</bold> 1–2 m, <bold>(d)</bold> 2–3 m, <bold>(e)</bold> 3–4 m and <bold>(f)</bold> <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m.
The lakes were separated into three types of lake – lakes with SDD showing
significant increasing (Type I), significant decreasing (Type II) and non-significant
(Type III) trends during 1984–2018. Proportions of total lake area and lake
number in each lake region are shown in the pie charts and histograms,
respectively.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f07.png"/>

        </fig>

      <p id="d1e2414">In the SDD of the 0.5–3 m categories (Fig. 7b–d), the lakes of Types I and III were the most numerous in the ELR, but the largest total lake areas of the five
lake regions were different between these two types of lake. Specifically, in
the lakes of Type I, the total lake areas in the TQR were the largest, with percentages of 36.38 % (SDD 0.5–1 m), 44.14 % (SDD 1–2 m) and 61.03 % (SDD 2–3 m), respectively (Fig. 7b–d). Regarding the lakes of Type III, the ELR (TQR) had the largest proportion of lake area when SDD was 0.5–2 m (2–3 m). The percentages of lake area when SDD was 0.5–2 m in the ELR were 76.80 % (SDD 0.5–1 m) and 46.90 % (SDD 1–2 m), while that in the TQR was 46.65 % (SDD 2–3 m) (Fig. 7b–d). For the lakes of Type II, the region that had the largest proportions of lake number and area was inconsistent in each SDD category (0.5–3) m. When the SDDs were in the range of 0.5–1 m, the NLR had the largest lake number, while the MXR had the highest percentage of lake area (Fig. 7b). When the SDDs ranged from 1–2 m, the number of lakes and area in the ELR were the largest (Fig. 7c). When the SDDs were around 2–3 m, the lake number in the NLR was the largest and the total lake area in the ELR was the largest (Fig. 7d). Spatially, lake distributions of Types I and III with the SDD range of 0.5–2 m were concentrated in most places of the ELR, the northwest and southeast of the NLR, the southern section of the YGR, the mid-west of the TQR, and the mid-east and the northern section of the MXR (Fig. 7b–c). When these two types of lake SDD were in the range of 2–3 m, they were distributed in the central and southeast coast of the ELR, the central and southwest of the YGR, and the western section of the TQR (Fig. 7d). For Type II of lakes with SDD falling in the range 0.5–3 m, their distributions were scattered over part of the central and southeast coast of the ELR and southwest of the YGR (Fig. 7b–d).</p>
      <p id="d1e2418">In the SDD of 3–4 m category (Fig. 7e), the regions that had the most lakes
for each of the three types of lake were the YGR (Type I, 53.56 %), ELR (Type II,
48.00 %) and ELR (Type III, 53.19 %), respectively. The regions that
had the largest lake area were the TQR (Type I, 63.51 %), YGR (Type II,
90.06 %) and TQR (Type III, 75.22 %), respectively. Spatially, the
lakes of Types I and III were concentrated at the junction of the ELR,
YGR and MXR; the southeast coast of the ELR; the southern section of the
YGR; and the western section of the TQR. The lakes of Type III were mainly
distributed in the part of the southeast coast of the ELR and the southern
section of the YGR.</p>
      <p id="d1e2421">Regarding the SDD of <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m category (Fig. 7f), the TQR had the
largest lake number and area in the lakes of Type I, accounting for
39.19 % of the number of lakes and 87.34 % of the total lake area. For
the lakes of Type II, a few lakes existed in the MXR and YGR. For the lakes
of Type III, the YGR had the most lakes and the TQR had the largest total
lake area, accounting for 40.28 % of the number of lakes and 87.00 % of
the total lake area, respectively. Spatially, the distributions of these
lakes were similar to those of the lakes with an SDD range of 3–4 m.</p>
</sec>
</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Comparison with past studies and uncertainties</title>
      <p id="d1e2443">Several past studies have examined the spatiotemporal variation in SDD in
lakes across China (or parts of China), but these investigations were mainly
based on MODIS images to estimate SDD in large lakes (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) and primarily focused on the period after 2000 (L. Feng et al., 2019; D. Liu et al., 2020; Pi et al., 2020; S. Wang et al., 2020). Therefore,
it becomes a challenge to compare these past results with the results of the
present study due to differences in the period of interest, the resolution of the
satellite images and lake size (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in our study). Zhang et al. (2021) adopted an empirical model to retrieve the SDD of lakes (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) across China based on Landsat surface reflectance products (2016–2018) within GEE. Because of the similarity of methods and images used in Zhang et al. (2021) and the present study, there is a unique opportunity to compare lake SDD estimation models across China proposed by these two studies. To that end, we used available in situ SDD data (2019–2020) collected at monitoring stations in Lake Taihu and Lake Dianchi to assess the accuracy of the two models. As shown in Fig. 8
and demonstrated by statistical parameters (higher <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, lower RMSE,
rRMSE and MAE), the estimation model proposed by our study exhibited better
performance to retrieve SDD in both Lake Taihu (Fig. 8c) and Lake Dianchi
(Fig. 8d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2517">Comparison of different SDD estimation models based on Landsat
images within GEE. <bold>(a, b)</bold> Spatial distribution of monitoring stations located in Lake Taihu and Lake Dianchi, respectively. The Landsat 8 OLI images used in these two panels come from the Geospatial Data Cloud site,
Computer Network Information Center, Chinese Academy of Sciences
(<uri>http://www.gscloud.cn</uri>, last access: 5 January 2022). <bold>(c–f)</bold> The regression line between the measured SDD in Lake Taihu (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">136</mml:mn></mml:mrow></mml:math></inline-formula>) and Lake Dianchi (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">84</mml:mn></mml:mrow></mml:math></inline-formula>) during 2019–2020 and estimated SDD values that were obtained from the estimation models developed in this study and Zhang et al. (2021), respectively.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/14/79/2022/essd-14-79-2022-f08.png"/>

      </fig>

      <p id="d1e2559">While previous studies have demonstrated the application of Landsat series
data (Landsat 5 TM/Landsat 7 ETM<inline-formula><mml:math id="M159" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>/Landsat 8 OLI) and the proposed model can provide accurate
long-term coverage of the SDD of lakes in China (Zhang et al., 2021; Song et
al., 2020; Deutsch et al., 2018; Bonansea et al., 2015; McCullough et al., 2013), several systemic errors in SDD results could not be avoided. On the
one hand, the SDD estimation model proposed in this study contained some
errors, and the model validation yielded the following results: <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula>;
RMSE <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">92.7</mml:mn></mml:mrow></mml:math></inline-formula> cm; rRMSE <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">57.6</mml:mn></mml:mrow></mml:math></inline-formula> %; MAE <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">54.9</mml:mn></mml:mrow></mml:math></inline-formula> cm. On the other hand,
different atmospheric correction methods can have diverse effects on the
Landsat images (Bonansea et al., 2015; Lee et al., 2016). The calibrated TOA
reflectance products within GEE were produced using the equations
developed by Chander et al. (2009). Nevertheless, these systemic errors do
not significantly affect the overall trends of the SDD of lakes in China
(Bonansea et al., 2015; Deutsch et al., 2018; Zhang et<?pagebreak page91?> al., 2021). In
addition, under the influence of climate change or human activities, such as
floods and droughts, urbanization, and farmland reclamation, the boundaries
for some small lakes (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) may vary greatly, which could cause the uncertainty in SDD estimation (Yang and Huang, 2021; Zhang et al., 2019). This is a limitation of the assumption for small lakes with static boundaries. In the future, further research on the relationship between the
area of small lakes and the accuracy of SDD simulation would aid in
addressing this limitation.</p>
</sec>
<sec id="Ch1.S8">
  <label>8</label><title>Data availability</title>
      <p id="d1e2642">The dataset of the water clarity of lakes developed in this study consists of one shapefile containing the annual mean values of water clarity in each lake (size <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) during 1990–2018, with a
temporal resolution of 5 years. The dataset can now be accessed through the
website of the National Tibetan Plateau Data Center
(<uri>http://data.tpdc.ac.cn/en/</uri>, last access: 5 January 2022) at <ext-link xlink:href="https://doi.org/10.11888/Hydro.tpdc.271571" ext-link-type="DOI">10.11888/Hydro.tpdc.271571</ext-link> (Tao et al., 2021).</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page92?><sec id="Ch1.S9" sec-type="conclusions">
  <label>9</label><title>Conclusions</title>
      <p id="d1e2679">As a comprehensive indicator of water eutrophication, encompassing nutrient
enrichment, algal abundance and suspended sediment, water clarity can serve
as a valuable index for tracking the ecological health of aquatic ecosystems
and guiding the actions of water resource managers. Although field
measurement of water clarity can easily be made with a Secchi disk
apparatus, this approach is not suitable for long-term time series
measurements of lake water clarity at regional and national scales. This
information is highly valuable and can be extracted from archived satellite
data. In situ water clarity data collected in lakes across China during 2004–2018 were used to calibrate and validate SDD models that incorporate top-of-atmosphere reflectance products and Google Earth Engine to map the
spatiotemporal dynamics of SDD over a 35-year time span (1984–2018). The SDD
model was validated using different datasets, and results confirmed the
stable performance and temporal transferability of the SDD estimation model.
Derived SDD estimates were analyzed at the lake region and at the individual
lake scales. During the study period (1984–2018), annual mean SDD values in
the TQR, YGR, MXR, ELR and NLR were <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.63</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> m,
respectively. Among the 10 814 lakes with <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> years of SDD results, 55.4 % and 3.5 % experienced statistically significant
(<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) increasing and decreasing trends of water clarity, respectively. The remaining lakes (41.1 %) displayed no significant trends. With the exception of the MXR, more than half of lakes in all the
other regions exhibited a significant trend of increasing water clarity. In
the ELR, NLR and YGR, most of the lakes displaying either an
increase or a decrease in SDD tended to be of 0.01–1 km<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in size, whereas
in the TQR and MXR, lakes exhibiting clear trends in SDD were mostly large
lakes (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). Spatially, the lakes in the plateau
regions (TQR, YGR) generally exhibited higher SDD than those situated in the
flat plain region. The time series of water clarity information presented in
this study could aid local, regional and national decision-making on
policies and management for protecting/improving inland water quality in
China. The research approach implemented could also potentially be used to
map water clarity in lakes at the global scale, an effort that could provide
useful information for evaluating decadal trends in surface water quality
resulting from the adoption of pollution control policies.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d1e2792">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-14-79-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-14-79-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2803">KaS, HT, GL and HD designed the study; KaS, GL and HT
performed the research; KaS, HT, GL, QW, ZhW, ZoW, DL, KS, BZ and XW
collected and analyzed the data; KaS, HT, GL, PAJ and HD wrote the paper. All authors contributed to the interpretation of findings, helped
revise the manuscript and approved the final manuscript for submission.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2810">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2816">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e2822">This article is part of the special issue “Extreme environment datasets for the three poles”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2828">The authors wish to thank Ying Zhao, Jianhang Ma and Ming Wang for their
capable assistance in the field sampling and laboratory measurements.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2833">This research was jointly supported by the National Natural Science Foundation of China (grant nos. 41730104, 42001311, 42171385), China Postdoctoral Science Foundation (grant no. 2020M681056), Strategic Priority Research Program of the Chinese Academy of Sciences (grant no. XDA19070501), Research Instrument
and Equipment Development Project of the Chinese Academy of Sciences (grant no. YJKYYQ20190044), and National Earth System Science Data Center of China (<uri>http://www.geodata.cn/</uri>, last access: 5 January 2022).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2842">This paper was edited by Min Feng and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Amani, M., Ghorbanian, A., Ahmadi, S. A., Kakooei, M., Moghimi, A.,
Mirmazloumi, S. M., Moghaddam, S. H. A., Mahdavi, S., Ghahremanloo, M.,
Parsian, S., Wu, Q., and Brisco, B.: Google Earth Engine Cloud Computing Platform for Remote Sensing Big Data Applications: A Comprehensive Review, IEEE J. Sel. Top. Appl., 13, 5326–5350, <ext-link xlink:href="https://doi.org/10.1109/jstars.2020.3021052" ext-link-type="DOI">10.1109/jstars.2020.3021052</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Bonansea, M., Ledesma, C., Rodriguez, C., Pinotti, L., and Antunes, M. H.:
Effects of atmospheric correction of Landsat imagery on lake water clarity
assessment, Adv. Space Res., 56, 2345–2355, <ext-link xlink:href="https://doi.org/10.1016/j.asr.2015.09.018" ext-link-type="DOI">10.1016/j.asr.2015.09.018</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Cao, Z., Duan, H., Feng, L., Ma, R., and Xue, K.: Climate- and human-induced
changes in suspended particulate matter over Lake Hongze on short and long
timescales, Remote Sens. Environ., 192, 98–113, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2017.02.007" ext-link-type="DOI">10.1016/j.rse.2017.02.007</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Carlson, R. E.: A Trophic State Index for Lakes, Limnol. Oceanogr., 22, 361–369, <ext-link xlink:href="https://doi.org/10.4319/lo.1977.22.2.0361" ext-link-type="DOI">10.4319/lo.1977.22.2.0361</ext-link>, 1977.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Chander, G., Markham, B. L., and Helder, D. L.: Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors, Remote Sens. Environ., 113, 893–903, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2009.01.007" ext-link-type="DOI">10.1016/j.rse.2009.01.007</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Deutsch, E. S., Alameddine, I., and El-Fadel, M.: Monitoring water quality in a hypereutrophic reservoir using Landsat ETM plus and OLI sensors: how
transferable are the water quality algorithms?, Environ. Monit. Assess., 190, 141, <ext-link xlink:href="https://doi.org/10.1007/s10661-018-6506-9" ext-link-type="DOI">10.1007/s10661-018-6506-9</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Doron, M., Babin, M., Mangin, A., and Hembise, O.: Estimation of light
penetration, and horizontal and vertical visibility in oceanic and coastal
waters from surface reflectance, J. Geophys. Res., 112, C06003, <ext-link xlink:href="https://doi.org/10.1029/2006jc004007" ext-link-type="DOI">10.1029/2006jc004007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Duan, H., Ma, R., Zhang, Y., and Zhang, B.: Remote-sensing assessment of
inland lake water clarity in northeast China, Limnology, 10, 135–141,
<ext-link xlink:href="https://doi.org/10.1007/s10201-009-0263-y" ext-link-type="DOI">10.1007/s10201-009-0263-y</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Feng, L., Hou, X. J., and Zheng, Y.: Monitoring and understanding the water
transparency changes of fifty large lakes on the Yangtze Plain based on
long-term MODIS observations, Remote Sens. Environ., 221, 675–686, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2018.12.007" ext-link-type="DOI">10.1016/j.rse.2018.12.007</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Feng, S. L., Liu, S. G., Huang, Z. H., Jing, L., Zhao, M. F., Peng, X., Yan,
W. D., Wu, Y. P., Lv, Y. H., Smith, A. R., McDonald, M. A., Patil, S. D.,
Sarkissian, A. J., Shi, Z. H., Xia, J., and Ogbodo, U. S.: Inland water bodies in China: Features discovered in the long-term satellite data, P. Natl. Acad. Sci. USA, 116, 25491–25496, <ext-link xlink:href="https://doi.org/10.1073/pnas.1910872116" ext-link-type="DOI">10.1073/pnas.1910872116</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Feyisa, G. L., Meilby, H., Fensholt, R., and Proud, S. R.: Automated Water
Extraction Index: A new technique for surface water mapping using Landsat
imagery, Remote Sens. Environ., 140, 23–35, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2013.08.029" ext-link-type="DOI">10.1016/j.rse.2013.08.029</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Giardino, C., Brando, V. E., Dekker, A. G., Strombeck, N., and Candiani, G.:
Assessment of water quality in Lake Garda (Italy) using Hyperion, Remote Sens. Environ., 109, 183–195, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2006.12.017" ext-link-type="DOI">10.1016/j.rse.2006.12.017</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Gordon, H. R., Clark, D. K., Brown, J. W., Brown, O. B., Evans, R.
H., and Broenkow, W. W.: Phytoplankton pigment concentrations in the middle
Atlantic Bight–comparison of ship determinations and CZCS estimates,
Appl. Optics, 22, 20–36, <ext-link xlink:href="https://doi.org/10.1364/ao.22.000020" ext-link-type="DOI">10.1364/ao.22.000020</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Han, D., Currell, M. J., and Cao, G.: Deep challenges for China's war on water pollution, Environ. Pollut., 218, 1222–1233, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2016.08.078" ext-link-type="DOI">10.1016/j.envpol.2016.08.078</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Hou, X., Feng, L., Duan, H., Chen, X., Sun, D., and Shi, K.: Fifteen-year
monitoring of the turbidity dynamics in large lakes and reservoirs in the
middle and lower basin of the Yangtze River, China, Remote Sens. Environ.,
190, 107–121, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2016.12.006" ext-link-type="DOI">10.1016/j.rse.2016.12.006</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Huang, J. C., Gao, J. F., and Zhang, Y. J.: Eutrophication Prediction Using a
Markov Chain Model: Application to Lakes in the Yangtze River Basin, China,
Environ. Model. Assess., 21, 233–246, <ext-link xlink:href="https://doi.org/10.1007/s10666-015-9472-4" ext-link-type="DOI">10.1007/s10666-015-9472-4</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>
Jensen, J.: Remote Sensing of the Environment: An Earth Resource Perspective, Prentice Hall, Upper Saddle River, New Jersey, 2006.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Kloiber, S. N., Brezonik, P. L., Olmanson, L. G., and Bauer, M. E.: A procedure for regional lake water clarity assessment using Landsat multispectral data, Remote Sens. Environ., 82, 38–47, <ext-link xlink:href="https://doi.org/10.1016/s0034-4257(02)00022-6" ext-link-type="DOI">10.1016/s0034-4257(02)00022-6</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Lee, Z., Shang, S., Hu, C., Du, K., Weidemann, A., Hou, W., Lin, J., and Lin, G.: Secchi disk depth: A new theory and mechanistic model for underwater
visibility, Remote Sens. Environ., 169, 139–149, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2015.08.002" ext-link-type="DOI">10.1016/j.rse.2015.08.002</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Lee, Z., Shang, S. L., Qi, L., Yan, J., and Lin, G.: A semi-analytical scheme to estimate Secchi-disk depth from Landsat-8 measurements, Remote Sens.
Environ., 177, 101–106, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2016.02.033" ext-link-type="DOI">10.1016/j.rse.2016.02.033</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Lehner, B. and Doll, P.: Development and validation of a global database of
lakes, reservoirs and wetlands, J. Hydrol., 296, 1–22, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2004.03.028" ext-link-type="DOI">10.1016/j.jhydrol.2004.03.028</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Lehner, B., Liermann, C. R., Revenga, C., Voeroesmarty, C., Fekete, B.,
Crouzet, P., Doell, P., Endejan, M., Frenken, K., Magome, J., Nilsson, C.,
Robertson, J. C., Roedel, R., Sindorf, N., and Wisser, D.: High-resolution
mapping of the world's reservoirs and dams for sustainable river-flow
management, Front. Ecol. Environ., 9, 494–502, <ext-link xlink:href="https://doi.org/10.1890/100125" ext-link-type="DOI">10.1890/100125</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Liu, D., Duan, H., Loiselle, S., Hu, C., Zhang, G., Li, J., Yang, H.,
Thompson, J. R., Cao, Z., Shen, M., Ma, R., Zhang, M., and Han, W.: Observations of water transparency in China's lakes from space, Int. J. Appl. Earth Obs. Geoinf., 92, 102187, <ext-link xlink:href="https://doi.org/10.1016/j.jag.2020.102187" ext-link-type="DOI">10.1016/j.jag.2020.102187</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Liu, G., Li, L., Song, K., Li, Y., Lyu, H., Wen, Z., Fang, C., Bi, S., Sun,
X., Wang, Z., Cao, Z., Shang, Y., Yu, G., Zheng, Z., Huang, C., Xu, Y., and Shi, K.: An OLCI-based algorithm for semi-empirically partitioning absorption
coefficient and estimating chlorophyll a concentration in various turbid
case-2 waters, Remote Sens. Environ., 239, 111648, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2020.111648" ext-link-type="DOI">10.1016/j.rse.2020.111648</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Ma, R., Yang, G., Duan, H., Jiang, J., Wang, S., Feng, X., Li, A., Kong, F.,
Xue, B., Wu, J., and Li, S.: China's lakes at present: Number, area and spatial distribution, Sci. China-Earth Sci., 54, 283–289, <ext-link xlink:href="https://doi.org/10.1007/s11430-010-4052-6" ext-link-type="DOI">10.1007/s11430-010-4052-6</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Ma, T., Zhao, N., Ni, Y., Yi, J. W., Wilson, J. P., He, L. H., Du, Y. Y.,
Pei, T., Zhou, C. H., Song, C., and Cheng, W. M.: China's improving inland
surface water quality since 2003, Sci. Adv., 6, eaau3798, <ext-link xlink:href="https://doi.org/10.1126/sciadv.aau3798" ext-link-type="DOI">10.1126/sciadv.aau3798</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>McCullough, I. M., Loftin, C. S., and Sader, S. A.: Combining lake and watershed characteristics with Landsat TM data for remote estimation of regional lake clarity, Remote Sens. Environ., 123, 109–115, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2012.03.006" ext-link-type="DOI">10.1016/j.rse.2012.03.006</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>McCullough, I. M., Loftin, C. S., and Sader, S. A.: Landsat imagery reveals
declining clarity of Maine's lakes during 1995–2010, Freshw. Sci., 32, 741–752, <ext-link xlink:href="https://doi.org/10.1899/12-070.1" ext-link-type="DOI">10.1899/12-070.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Olmanson, L. G., Bauer, M. E., and Brezonik, P. L.: A 20-year Landsat water
clarity census of Minnesota's 10,000 lakes, Remote Sens. Environ., 112, 4086–4097, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2007.12.013" ext-link-type="DOI">10.1016/j.rse.2007.12.013</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Olmanson, L. G., Brezonik, P. L., and Bauer, M. E.: Evaluation of medium to low resolution satellite imagery for regional lake water quality assessments,
Water Resour. Res., 47, W09515, <ext-link xlink:href="https://doi.org/10.1029/2011wr011005" ext-link-type="DOI">10.1029/2011wr011005</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Pekel, J.-F., Cottam, A., Gorelick, N., and Belward, A. S.: High-resolution
mapping of global surface water and its long-term changes, Nature, 540, 418–422, <ext-link xlink:href="https://doi.org/10.1038/nature20584" ext-link-type="DOI">10.1038/nature20584</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Pi, X., Feng, L., Li, W., Zhao, D., Kuang, X., and Li, J.: Water clarity changes in 64 large alpine lakes on th<?pagebreak page94?>e Tibetan Plateau and the potential responses to lake expansion, ISPRS J. Photogramm. Remote Sens., 170, 192–204, <ext-link xlink:href="https://doi.org/10.1016/j.isprsjprs.2020.10.014" ext-link-type="DOI">10.1016/j.isprsjprs.2020.10.014</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Qin, B., Zhu, G., Gao, G., Zhang, Y., Li, W., Paerl, H. W., and Carmichael, W. W.: A Drinking Water Crisis in Lake Taihu, China: Linkage to Climatic
Variability and Lake Management, Environ. Manage., 45, 105–112, <ext-link xlink:href="https://doi.org/10.1007/s00267-009-9393-6" ext-link-type="DOI">10.1007/s00267-009-9393-6</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Richardson, T. L., Lawrenz, E., Pinckney, J. L., Guajardo, R. C., Walker, E.
A., Paerl, H. W., and MacIntyre, H. L.: Spectral fluorometric characterization of phytoplankton community composition using the Algae Online Analyser<sup>®</sup>, Water Res., 44, 2461–2472, <ext-link xlink:href="https://doi.org/10.1016/j.watres.2010.01.012" ext-link-type="DOI">10.1016/j.watres.2010.01.012</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Rokni, K., Ahmad, A., Selamat, A., and Hazini, S.: Water Feature Extraction and Change Detection Using Multitemporal Landsat Imagery, Remote Sens., 6,
4173–4189, <ext-link xlink:href="https://doi.org/10.3390/rs6054173" ext-link-type="DOI">10.3390/rs6054173</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Rosenzweig, B. R., Smith, J. A., Baeck, M. L., and Jaffe, P. R.: Monitoring
Nitrogen Loading and Retention in an Urban Stormwater Detention Pond,
J. Environ. Qual., 40, 598–609, <ext-link xlink:href="https://doi.org/10.2134/jeq2010.0300" ext-link-type="DOI">10.2134/jeq2010.0300</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Shen, M., Duan, H., Cao, Z., Xue, K., Qi, T., Ma, J., Liu, D., Song, K.,
Huang, C., and Song, X.: Sentinel-3 OLCI observations of water clarity in large lakes in eastern China: Implications for SDG 6.3.2 evaluation, Remote Sens. Environ., 247, 111950, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2020.111950" ext-link-type="DOI">10.1016/j.rse.2020.111950</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>
SOEE: Report on the State of the Ecology and Environment of China in 2018,
Environmental Publishing House, Beijing, 13 pp., 2018.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>
Song, K., Wen, Z., Shang, Y., Yang, H., Lyu, L., Liu, G., Fang, C., Du,
J., and Zhao, Y.: Quantification of dissolved organic carbon (DOC) storage in
lakes and reservoirs of mainland China, J. Environ. Manage., 217, 391–402, 2018a.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>
Song, K., Wen, Z., Xu, Y., Hong, Y., Lyu, L., Ying, Z., Chong, F., Shang, Y.,Jia, D.: Dissolved carbon in a large variety of lakes across five limnetic regions in China, J. Hydrol., 563, 143–154, 2018b.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Song, K., Liu, G., Wang, Q., Wen, Z., Lyu, L., Du, Y., Sha, L., and Fang, C.:
Quantification of lake clarity in China using Landsat OLI imagery data, Remote Sens. Environ., 243, 111800, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2020.111800" ext-link-type="DOI">10.1016/j.rse.2020.111800</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Tao, H., Song, K., Liu, G., Wang, Q., and Wen, Z.: Water clarity annual dynamics dataset across China (1990–2018), National Tibetan Plateau Data Center [data set], <ext-link xlink:href="https://doi.org/10.11888/Hydro.tpdc.271571" ext-link-type="DOI">10.11888/Hydro.tpdc.271571</ext-link>, CSTR: 18406.11.Hydro.tpdc.271571, 2021 (data vailable at: <uri>http://data.tpdc.ac.cn/en/</uri>, last access: 5 January 2022).</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Tong, Y., Zhang, W., Wang, X., Couture, R.-M., Larssen, T., Zhao, Y., Li,
J., Liang, H., Liu, X., Bu, X., He, W., Zhang, Q., and Lin, Y.: Decline in
Chinese lake phosphorus concentration accompanied by shift in sources since
2006, Nat. Geosci., 10, 507–511, <ext-link xlink:href="https://doi.org/10.1038/ngeo2967" ext-link-type="DOI">10.1038/ngeo2967</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Tong, Y., Wang, M., Penuelas, J., Liu, X., Paerl, H. W., Elser, J. J.,
Sardans, J., Couture, R. M., Larssen, T., Hu, H., Dong, X., He, W., Zhang,
W., Wang, X., Zhang, Y., Liu, Y., Zeng, S., Kong, X., Janssen, A. B. G., and Lin, Y.: Improvement in municipal wastewater treatment alters lake nitrogen to phosphorus ratios in populated regions, P. Natl. Acad. Sci. USA, 117, 11566–11572, <ext-link xlink:href="https://doi.org/10.1073/pnas.1920759117" ext-link-type="DOI">10.1073/pnas.1920759117</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Tranvik, L. J., Downing, J. A., Cotner, J. B., Loiselle, S. A., Striegl, R.
G., Ballatore, T. J., Dillon, P., Finlay, K., Fortino, K., Knoll, L. B.,
Kortelainen, P. L., Kutser, T., Larsen, S., Laurion, I., Leech, D. M.,
McCallister, S. L., McKnight, D. M., Melack, J. M., Overholt, E., Porter, J.
A., Prairie, Y., Renwick, W. H., Roland, F., Sherman, B. S., Schindler, D.
W., Sobek, S., Tremblay, A., Vanni, M. J., Verschoor, A. M., von
Wachenfeldt, E., and Weyhenmeyer, G. A.: Lakes and reservoirs as regulators of carbon cycling and climate, Limnol. Oceanogr., 54, 2298–2314, <ext-link xlink:href="https://doi.org/10.4319/lo.2009.54.6_part_2.2298" ext-link-type="DOI">10.4319/lo.2009.54.6_part_2.2298</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Wang, M., Son, S., and Shi, W.: Evaluation of MODIS SWIR and NIR-SWIR atmospheric correction algorithms using SeaBASS data, Remote Sens. Environ., 113, 635–644, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2008.11.005" ext-link-type="DOI">10.1016/j.rse.2008.11.005</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Wang, S., Li, J., Zhang, B., Lee, Z., Spyrakos, E., Feng, L., Liu, C., Zhao,
H., Wu, Y., Zhu, L., Jia, L., Wan, W., Zhang, F., Shen, Q., Tyler, A.
N., and Zhang, X.: Changes of water clarity in large lakes and reservoirs across China observed from long-term MODIS, Remote Sens. Environ., 247, 111949, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2020.111949" ext-link-type="DOI">10.1016/j.rse.2020.111949</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Wang, S. L., Li, J. S., Zhang, B., Spyrakos, E., Tyler, A. N., Shen, Q.,
Zhang, F. F., Kutser, T., Lehmann, M. K., Wu, Y. H., and Peng, D. L.: Trophic
state assessment of global inland waters using a MODIS-derived Forel-Ule
index, Remote Sens. Environ., 217, 444–460, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2018.08.026" ext-link-type="DOI">10.1016/j.rse.2018.08.026</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Wang, X., Guo, X., Yang, C., Liu, Q., Wei, J., Zhang, Y., Liu, S., Zhang, Y., Jiang, Z., and Tang, Z.: Glacial lake inventory of high-mountain Asia in 1990 and 2018 derived from Landsat images, Earth Syst. Sci. Data, 12, 2169–2182, <ext-link xlink:href="https://doi.org/10.5194/essd-12-2169-2020" ext-link-type="DOI">10.5194/essd-12-2169-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>
Wetzel, R. G.: Limnology: Lake and River Ecosystems, 3rd edn., Academic Press, San Diego, USA, 2001.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Xu, H.: Modification of normalised difference water index (NDWI) to enhance
open water features in remotely sensed imagery, Int. J. Remote Sens., 27,
3025–3033, <ext-link xlink:href="https://doi.org/10.1080/01431160600589179" ext-link-type="DOI">10.1080/01431160600589179</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Yang, J. and Huang, X.: The 30 m annual land cover dataset and its dynamics in China from 1990 to 2019, Earth Syst. Sci. Data, 13, 3907–3925, <ext-link xlink:href="https://doi.org/10.5194/essd-13-3907-2021" ext-link-type="DOI">10.5194/essd-13-3907-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Yang, X. and Lu, X.: Drastic change in China's lakes and reservoirs over the
past decades, Sci. Rep.-UK, 4, 6041, <ext-link xlink:href="https://doi.org/10.1038/srep06041" ext-link-type="DOI">10.1038/srep06041</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Zhang, G., Yao, T., Chen, W., Zheng, G., Shum, C. K., Yang, K., Piao, S.,
Sheng, Y., Yi, S., Li, J., O'Reilly, C. M., Qi, S., Shen, S. S. P., Zhang,
H., and Jia, Y.: Regional differences of lake evolution across China during
1960s-2015 and its natural and anthropogenic causes, Remote Sens. Environ., 221, 386–404, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2018.11.038" ext-link-type="DOI">10.1016/j.rse.2018.11.038</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Zhang, Y., Zhang, Y., Shi, K., Zhou, Y., and Li, N.: Remote sensing estimation of water clarity for various lakes in China, Water Res., 192, 116844–116844, <ext-link xlink:href="https://doi.org/10.1016/j.watres.2021.116844" ext-link-type="DOI">10.1016/j.watres.2021.116844</ext-link>, 2021.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>A Landsat-derived annual inland water clarity dataset of China between 1984 and 2018</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Amani, M., Ghorbanian, A., Ahmadi, S. A., Kakooei, M., Moghimi, A.,
Mirmazloumi, S. M., Moghaddam, S. H. A., Mahdavi, S., Ghahremanloo, M.,
Parsian, S., Wu, Q., and Brisco, B.: Google Earth Engine Cloud Computing Platform for Remote Sensing Big Data Applications: A Comprehensive Review, IEEE J. Sel. Top. Appl., 13, 5326–5350, <a href="https://doi.org/10.1109/jstars.2020.3021052" target="_blank">https://doi.org/10.1109/jstars.2020.3021052</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Bonansea, M., Ledesma, C., Rodriguez, C., Pinotti, L., and Antunes, M. H.:
Effects of atmospheric correction of Landsat imagery on lake water clarity
assessment, Adv. Space Res., 56, 2345–2355, <a href="https://doi.org/10.1016/j.asr.2015.09.018" target="_blank">https://doi.org/10.1016/j.asr.2015.09.018</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Cao, Z., Duan, H., Feng, L., Ma, R., and Xue, K.: Climate- and human-induced
changes in suspended particulate matter over Lake Hongze on short and long
timescales, Remote Sens. Environ., 192, 98–113, <a href="https://doi.org/10.1016/j.rse.2017.02.007" target="_blank">https://doi.org/10.1016/j.rse.2017.02.007</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Carlson, R. E.: A Trophic State Index for Lakes, Limnol. Oceanogr., 22, 361–369, <a href="https://doi.org/10.4319/lo.1977.22.2.0361" target="_blank">https://doi.org/10.4319/lo.1977.22.2.0361</a>, 1977.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Chander, G., Markham, B. L., and Helder, D. L.: Summary of current radiometric calibration coefficients for Landsat MSS, TM, ETM+, and EO-1 ALI sensors, Remote Sens. Environ., 113, 893–903, <a href="https://doi.org/10.1016/j.rse.2009.01.007" target="_blank">https://doi.org/10.1016/j.rse.2009.01.007</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Deutsch, E. S., Alameddine, I., and El-Fadel, M.: Monitoring water quality in a hypereutrophic reservoir using Landsat ETM plus and OLI sensors: how
transferable are the water quality algorithms?, Environ. Monit. Assess., 190, 141, <a href="https://doi.org/10.1007/s10661-018-6506-9" target="_blank">https://doi.org/10.1007/s10661-018-6506-9</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Doron, M., Babin, M., Mangin, A., and Hembise, O.: Estimation of light
penetration, and horizontal and vertical visibility in oceanic and coastal
waters from surface reflectance, J. Geophys. Res., 112, C06003, <a href="https://doi.org/10.1029/2006jc004007" target="_blank">https://doi.org/10.1029/2006jc004007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Duan, H., Ma, R., Zhang, Y., and Zhang, B.: Remote-sensing assessment of
inland lake water clarity in northeast China, Limnology, 10, 135–141,
<a href="https://doi.org/10.1007/s10201-009-0263-y" target="_blank">https://doi.org/10.1007/s10201-009-0263-y</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Feng, L., Hou, X. J., and Zheng, Y.: Monitoring and understanding the water
transparency changes of fifty large lakes on the Yangtze Plain based on
long-term MODIS observations, Remote Sens. Environ., 221, 675–686, <a href="https://doi.org/10.1016/j.rse.2018.12.007" target="_blank">https://doi.org/10.1016/j.rse.2018.12.007</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Feng, S. L., Liu, S. G., Huang, Z. H., Jing, L., Zhao, M. F., Peng, X., Yan,
W. D., Wu, Y. P., Lv, Y. H., Smith, A. R., McDonald, M. A., Patil, S. D.,
Sarkissian, A. J., Shi, Z. H., Xia, J., and Ogbodo, U. S.: Inland water bodies in China: Features discovered in the long-term satellite data, P. Natl. Acad. Sci. USA, 116, 25491–25496, <a href="https://doi.org/10.1073/pnas.1910872116" target="_blank">https://doi.org/10.1073/pnas.1910872116</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Feyisa, G. L., Meilby, H., Fensholt, R., and Proud, S. R.: Automated Water
Extraction Index: A new technique for surface water mapping using Landsat
imagery, Remote Sens. Environ., 140, 23–35, <a href="https://doi.org/10.1016/j.rse.2013.08.029" target="_blank">https://doi.org/10.1016/j.rse.2013.08.029</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Giardino, C., Brando, V. E., Dekker, A. G., Strombeck, N., and Candiani, G.:
Assessment of water quality in Lake Garda (Italy) using Hyperion, Remote Sens. Environ., 109, 183–195, <a href="https://doi.org/10.1016/j.rse.2006.12.017" target="_blank">https://doi.org/10.1016/j.rse.2006.12.017</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Gordon, H. R., Clark, D. K., Brown, J. W., Brown, O. B., Evans, R.
H., and Broenkow, W. W.: Phytoplankton pigment concentrations in the middle
Atlantic Bight–comparison of ship determinations and CZCS estimates,
Appl. Optics, 22, 20–36, <a href="https://doi.org/10.1364/ao.22.000020" target="_blank">https://doi.org/10.1364/ao.22.000020</a>, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Han, D., Currell, M. J., and Cao, G.: Deep challenges for China's war on water pollution, Environ. Pollut., 218, 1222–1233, <a href="https://doi.org/10.1016/j.envpol.2016.08.078" target="_blank">https://doi.org/10.1016/j.envpol.2016.08.078</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Hou, X., Feng, L., Duan, H., Chen, X., Sun, D., and Shi, K.: Fifteen-year
monitoring of the turbidity dynamics in large lakes and reservoirs in the
middle and lower basin of the Yangtze River, China, Remote Sens. Environ.,
190, 107–121, <a href="https://doi.org/10.1016/j.rse.2016.12.006" target="_blank">https://doi.org/10.1016/j.rse.2016.12.006</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Huang, J. C., Gao, J. F., and Zhang, Y. J.: Eutrophication Prediction Using a
Markov Chain Model: Application to Lakes in the Yangtze River Basin, China,
Environ. Model. Assess., 21, 233–246, <a href="https://doi.org/10.1007/s10666-015-9472-4" target="_blank">https://doi.org/10.1007/s10666-015-9472-4</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Jensen, J.: Remote Sensing of the Environment: An Earth Resource Perspective, Prentice Hall, Upper Saddle River, New Jersey, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Kloiber, S. N., Brezonik, P. L., Olmanson, L. G., and Bauer, M. E.: A procedure for regional lake water clarity assessment using Landsat multispectral data, Remote Sens. Environ., 82, 38–47, <a href="https://doi.org/10.1016/s0034-4257(02)00022-6" target="_blank">https://doi.org/10.1016/s0034-4257(02)00022-6</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Lee, Z., Shang, S., Hu, C., Du, K., Weidemann, A., Hou, W., Lin, J., and Lin, G.: Secchi disk depth: A new theory and mechanistic model for underwater
visibility, Remote Sens. Environ., 169, 139–149, <a href="https://doi.org/10.1016/j.rse.2015.08.002" target="_blank">https://doi.org/10.1016/j.rse.2015.08.002</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Lee, Z., Shang, S. L., Qi, L., Yan, J., and Lin, G.: A semi-analytical scheme to estimate Secchi-disk depth from Landsat-8 measurements, Remote Sens.
Environ., 177, 101–106, <a href="https://doi.org/10.1016/j.rse.2016.02.033" target="_blank">https://doi.org/10.1016/j.rse.2016.02.033</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Lehner, B. and Doll, P.: Development and validation of a global database of
lakes, reservoirs and wetlands, J. Hydrol., 296, 1–22, <a href="https://doi.org/10.1016/j.jhydrol.2004.03.028" target="_blank">https://doi.org/10.1016/j.jhydrol.2004.03.028</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Lehner, B., Liermann, C. R., Revenga, C., Voeroesmarty, C., Fekete, B.,
Crouzet, P., Doell, P., Endejan, M., Frenken, K., Magome, J., Nilsson, C.,
Robertson, J. C., Roedel, R., Sindorf, N., and Wisser, D.: High-resolution
mapping of the world's reservoirs and dams for sustainable river-flow
management, Front. Ecol. Environ., 9, 494–502, <a href="https://doi.org/10.1890/100125" target="_blank">https://doi.org/10.1890/100125</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Liu, D., Duan, H., Loiselle, S., Hu, C., Zhang, G., Li, J., Yang, H.,
Thompson, J. R., Cao, Z., Shen, M., Ma, R., Zhang, M., and Han, W.: Observations of water transparency in China's lakes from space, Int. J. Appl. Earth Obs. Geoinf., 92, 102187, <a href="https://doi.org/10.1016/j.jag.2020.102187" target="_blank">https://doi.org/10.1016/j.jag.2020.102187</a>, 2020a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Liu, G., Li, L., Song, K., Li, Y., Lyu, H., Wen, Z., Fang, C., Bi, S., Sun,
X., Wang, Z., Cao, Z., Shang, Y., Yu, G., Zheng, Z., Huang, C., Xu, Y., and Shi, K.: An OLCI-based algorithm for semi-empirically partitioning absorption
coefficient and estimating chlorophyll a concentration in various turbid
case-2 waters, Remote Sens. Environ., 239, 111648, <a href="https://doi.org/10.1016/j.rse.2020.111648" target="_blank">https://doi.org/10.1016/j.rse.2020.111648</a>, 2020b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Ma, R., Yang, G., Duan, H., Jiang, J., Wang, S., Feng, X., Li, A., Kong, F.,
Xue, B., Wu, J., and Li, S.: China's lakes at present: Number, area and spatial distribution, Sci. China-Earth Sci., 54, 283–289, <a href="https://doi.org/10.1007/s11430-010-4052-6" target="_blank">https://doi.org/10.1007/s11430-010-4052-6</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Ma, T., Zhao, N., Ni, Y., Yi, J. W., Wilson, J. P., He, L. H., Du, Y. Y.,
Pei, T., Zhou, C. H., Song, C., and Cheng, W. M.: China's improving inland
surface water quality since 2003, Sci. Adv., 6, eaau3798, <a href="https://doi.org/10.1126/sciadv.aau3798" target="_blank">https://doi.org/10.1126/sciadv.aau3798</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
McCullough, I. M., Loftin, C. S., and Sader, S. A.: Combining lake and watershed characteristics with Landsat TM data for remote estimation of regional lake clarity, Remote Sens. Environ., 123, 109–115, <a href="https://doi.org/10.1016/j.rse.2012.03.006" target="_blank">https://doi.org/10.1016/j.rse.2012.03.006</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
McCullough, I. M., Loftin, C. S., and Sader, S. A.: Landsat imagery reveals
declining clarity of Maine's lakes during 1995–2010, Freshw. Sci., 32, 741–752, <a href="https://doi.org/10.1899/12-070.1" target="_blank">https://doi.org/10.1899/12-070.1</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Olmanson, L. G., Bauer, M. E., and Brezonik, P. L.: A 20-year Landsat water
clarity census of Minnesota's 10,000 lakes, Remote Sens. Environ., 112, 4086–4097, <a href="https://doi.org/10.1016/j.rse.2007.12.013" target="_blank">https://doi.org/10.1016/j.rse.2007.12.013</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Olmanson, L. G., Brezonik, P. L., and Bauer, M. E.: Evaluation of medium to low resolution satellite imagery for regional lake water quality assessments,
Water Resour. Res., 47, W09515, <a href="https://doi.org/10.1029/2011wr011005" target="_blank">https://doi.org/10.1029/2011wr011005</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Pekel, J.-F., Cottam, A., Gorelick, N., and Belward, A. S.: High-resolution
mapping of global surface water and its long-term changes, Nature, 540, 418–422, <a href="https://doi.org/10.1038/nature20584" target="_blank">https://doi.org/10.1038/nature20584</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Pi, X., Feng, L., Li, W., Zhao, D., Kuang, X., and Li, J.: Water clarity changes in 64 large alpine lakes on the Tibetan Plateau and the potential responses to lake expansion, ISPRS J. Photogramm. Remote Sens., 170, 192–204, <a href="https://doi.org/10.1016/j.isprsjprs.2020.10.014" target="_blank">https://doi.org/10.1016/j.isprsjprs.2020.10.014</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Qin, B., Zhu, G., Gao, G., Zhang, Y., Li, W., Paerl, H. W., and Carmichael, W. W.: A Drinking Water Crisis in Lake Taihu, China: Linkage to Climatic
Variability and Lake Management, Environ. Manage., 45, 105–112, <a href="https://doi.org/10.1007/s00267-009-9393-6" target="_blank">https://doi.org/10.1007/s00267-009-9393-6</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Richardson, T. L., Lawrenz, E., Pinckney, J. L., Guajardo, R. C., Walker, E.
A., Paerl, H. W., and MacIntyre, H. L.: Spectral fluorometric characterization of phytoplankton community composition using the Algae Online Analyser<span style="position:relative; bottom:0.5em; " class="text">®</span>, Water Res., 44, 2461–2472, <a href="https://doi.org/10.1016/j.watres.2010.01.012" target="_blank">https://doi.org/10.1016/j.watres.2010.01.012</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Rokni, K., Ahmad, A., Selamat, A., and Hazini, S.: Water Feature Extraction and Change Detection Using Multitemporal Landsat Imagery, Remote Sens., 6,
4173–4189, <a href="https://doi.org/10.3390/rs6054173" target="_blank">https://doi.org/10.3390/rs6054173</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Rosenzweig, B. R., Smith, J. A., Baeck, M. L., and Jaffe, P. R.: Monitoring
Nitrogen Loading and Retention in an Urban Stormwater Detention Pond,
J. Environ. Qual., 40, 598–609, <a href="https://doi.org/10.2134/jeq2010.0300" target="_blank">https://doi.org/10.2134/jeq2010.0300</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Shen, M., Duan, H., Cao, Z., Xue, K., Qi, T., Ma, J., Liu, D., Song, K.,
Huang, C., and Song, X.: Sentinel-3 OLCI observations of water clarity in large lakes in eastern China: Implications for SDG 6.3.2 evaluation, Remote Sens. Environ., 247, 111950, <a href="https://doi.org/10.1016/j.rse.2020.111950" target="_blank">https://doi.org/10.1016/j.rse.2020.111950</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
SOEE: Report on the State of the Ecology and Environment of China in 2018,
Environmental Publishing House, Beijing, 13 pp., 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Song, K., Wen, Z., Shang, Y., Yang, H., Lyu, L., Liu, G., Fang, C., Du,
J., and Zhao, Y.: Quantification of dissolved organic carbon (DOC) storage in
lakes and reservoirs of mainland China, J. Environ. Manage., 217, 391–402, 2018a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Song, K., Wen, Z., Xu, Y., Hong, Y., Lyu, L., Ying, Z., Chong, F., Shang, Y.,Jia, D.: Dissolved carbon in a large variety of lakes across five limnetic regions in China, J. Hydrol., 563, 143–154, 2018b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Song, K., Liu, G., Wang, Q., Wen, Z., Lyu, L., Du, Y., Sha, L., and Fang, C.:
Quantification of lake clarity in China using Landsat OLI imagery data, Remote Sens. Environ., 243, 111800, <a href="https://doi.org/10.1016/j.rse.2020.111800" target="_blank">https://doi.org/10.1016/j.rse.2020.111800</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Tao, H., Song, K., Liu, G., Wang, Q., and Wen, Z.: Water clarity annual dynamics dataset across China (1990–2018), National Tibetan Plateau Data Center [data set], <a href="https://doi.org/10.11888/Hydro.tpdc.271571" target="_blank">https://doi.org/10.11888/Hydro.tpdc.271571</a>, CSTR:&thinsp;18406.11.Hydro.tpdc.271571, 2021 (data vailable at: <a href="http://data.tpdc.ac.cn/en/" target="_blank"/>, last access: 5 January 2022).
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Tong, Y., Zhang, W., Wang, X., Couture, R.-M., Larssen, T., Zhao, Y., Li,
J., Liang, H., Liu, X., Bu, X., He, W., Zhang, Q., and Lin, Y.: Decline in
Chinese lake phosphorus concentration accompanied by shift in sources since
2006, Nat. Geosci., 10, 507–511, <a href="https://doi.org/10.1038/ngeo2967" target="_blank">https://doi.org/10.1038/ngeo2967</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Tong, Y., Wang, M., Penuelas, J., Liu, X., Paerl, H. W., Elser, J. J.,
Sardans, J., Couture, R. M., Larssen, T., Hu, H., Dong, X., He, W., Zhang,
W., Wang, X., Zhang, Y., Liu, Y., Zeng, S., Kong, X., Janssen, A. B. G., and Lin, Y.: Improvement in municipal wastewater treatment alters lake nitrogen to phosphorus ratios in populated regions, P. Natl. Acad. Sci. USA, 117, 11566–11572, <a href="https://doi.org/10.1073/pnas.1920759117" target="_blank">https://doi.org/10.1073/pnas.1920759117</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Tranvik, L. J., Downing, J. A., Cotner, J. B., Loiselle, S. A., Striegl, R.
G., Ballatore, T. J., Dillon, P., Finlay, K., Fortino, K., Knoll, L. B.,
Kortelainen, P. L., Kutser, T., Larsen, S., Laurion, I., Leech, D. M.,
McCallister, S. L., McKnight, D. M., Melack, J. M., Overholt, E., Porter, J.
A., Prairie, Y., Renwick, W. H., Roland, F., Sherman, B. S., Schindler, D.
W., Sobek, S., Tremblay, A., Vanni, M. J., Verschoor, A. M., von
Wachenfeldt, E., and Weyhenmeyer, G. A.: Lakes and reservoirs as regulators of carbon cycling and climate, Limnol. Oceanogr., 54, 2298–2314, <a href="https://doi.org/10.4319/lo.2009.54.6_part_2.2298" target="_blank">https://doi.org/10.4319/lo.2009.54.6_part_2.2298</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Wang, M., Son, S., and Shi, W.: Evaluation of MODIS SWIR and NIR-SWIR atmospheric correction algorithms using SeaBASS data, Remote Sens. Environ., 113, 635–644, <a href="https://doi.org/10.1016/j.rse.2008.11.005" target="_blank">https://doi.org/10.1016/j.rse.2008.11.005</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Wang, S., Li, J., Zhang, B., Lee, Z., Spyrakos, E., Feng, L., Liu, C., Zhao,
H., Wu, Y., Zhu, L., Jia, L., Wan, W., Zhang, F., Shen, Q., Tyler, A.
N., and Zhang, X.: Changes of water clarity in large lakes and reservoirs across China observed from long-term MODIS, Remote Sens. Environ., 247, 111949, <a href="https://doi.org/10.1016/j.rse.2020.111949" target="_blank">https://doi.org/10.1016/j.rse.2020.111949</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Wang, S. L., Li, J. S., Zhang, B., Spyrakos, E., Tyler, A. N., Shen, Q.,
Zhang, F. F., Kutser, T., Lehmann, M. K., Wu, Y. H., and Peng, D. L.: Trophic
state assessment of global inland waters using a MODIS-derived Forel-Ule
index, Remote Sens. Environ., 217, 444–460, <a href="https://doi.org/10.1016/j.rse.2018.08.026" target="_blank">https://doi.org/10.1016/j.rse.2018.08.026</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Wang, X., Guo, X., Yang, C., Liu, Q., Wei, J., Zhang, Y., Liu, S., Zhang, Y., Jiang, Z., and Tang, Z.: Glacial lake inventory of high-mountain Asia in 1990 and 2018 derived from Landsat images, Earth Syst. Sci. Data, 12, 2169–2182, <a href="https://doi.org/10.5194/essd-12-2169-2020" target="_blank">https://doi.org/10.5194/essd-12-2169-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Wetzel, R. G.: Limnology: Lake and River Ecosystems, 3rd edn., Academic Press, San Diego, USA, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Xu, H.: Modification of normalised difference water index (NDWI) to enhance
open water features in remotely sensed imagery, Int. J. Remote Sens., 27,
3025–3033, <a href="https://doi.org/10.1080/01431160600589179" target="_blank">https://doi.org/10.1080/01431160600589179</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Yang, J. and Huang, X.: The 30&thinsp;m annual land cover dataset and its dynamics in China from 1990 to 2019, Earth Syst. Sci. Data, 13, 3907–3925, <a href="https://doi.org/10.5194/essd-13-3907-2021" target="_blank">https://doi.org/10.5194/essd-13-3907-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Yang, X. and Lu, X.: Drastic change in China's lakes and reservoirs over the
past decades, Sci. Rep.-UK, 4, 6041, <a href="https://doi.org/10.1038/srep06041" target="_blank">https://doi.org/10.1038/srep06041</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Zhang, G., Yao, T., Chen, W., Zheng, G., Shum, C. K., Yang, K., Piao, S.,
Sheng, Y., Yi, S., Li, J., O'Reilly, C. M., Qi, S., Shen, S. S. P., Zhang,
H., and Jia, Y.: Regional differences of lake evolution across China during
1960s-2015 and its natural and anthropogenic causes, Remote Sens. Environ., 221, 386–404, <a href="https://doi.org/10.1016/j.rse.2018.11.038" target="_blank">https://doi.org/10.1016/j.rse.2018.11.038</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Zhang, Y., Zhang, Y., Shi, K., Zhou, Y., and Li, N.: Remote sensing estimation of water clarity for various lakes in China, Water Res., 192, 116844–116844, <a href="https://doi.org/10.1016/j.watres.2021.116844" target="_blank">https://doi.org/10.1016/j.watres.2021.116844</a>, 2021.
</mixed-citation></ref-html>--></article>
