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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">water</journal-id>
      <journal-title>Water</journal-title>
      <abbrev-journal-title abbrev-type="publisher">Water</abbrev-journal-title>
      <abbrev-journal-title abbrev-type="pubmed">Water</abbrev-journal-title>
      <issn pub-type="epub">2073-4441</issn>
      <publisher>
        <publisher-name>MDPI</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3390/w8090397</article-id>
      <article-id pub-id-type="publisher-id">water-08-00397</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Spatial&#x2013;Temporal Dynamics of Wetland Vegetation Related to Water Level Fluctuations in Poyang Lake, China</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Tan</surname>
            <given-names>Zhiqiang</given-names>
          </name>
          <xref rid="af1-water-08-00397" ref-type="aff">1</xref>
          <xref rid="af2-water-08-00397" ref-type="aff">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Jiang</surname>
            <given-names>Jiahu</given-names>
          </name>
          <xref rid="af1-water-08-00397" ref-type="aff">1</xref>
          <xref rid="af2-water-08-00397" ref-type="aff">2</xref>
          <xref rid="c1-water-08-00397" ref-type="corresp">*</xref>
        </contrib>
        <contrib contrib-type="editor">
          <name>
            <surname>Strychar</surname>
            <given-names>Kevin B.</given-names>
          </name>
          <role>Academic Editor</role>
        </contrib>
      </contrib-group>
      <aff id="af1-water-08-00397"><label>1</label>Key Laboratory of Watershed Geographic Sciences, Nanjing Institute of Geography and Limnology, Chinese Academy of Sciences, Nanjing 210008, China; <email>tanzhiqiang1985@126.com</email></aff>
      <aff id="af2-water-08-00397"><label>2</label>State Key Laboratory of Lake Science and Environment, Nanjing Institute of Geography and Limnology, Chinese Academy of Sciences, Nanjing 210008, China</aff>
      <author-notes>
        <corresp id="c1-water-08-00397"><label>*</label>Correspondence: <email>jiangjh@niglas.ac.cn</email>; Tel.: +86-25-8688-2101</corresp>
      </author-notes>
      <pub-date pub-type="epub">
        <day>13</day>
        <month>09</month>
        <year>2016</year>
      </pub-date>
      <pub-date pub-type="collection"><month>09</month>
        <year>2016</year>
      </pub-date>
      <volume>8</volume>
      <issue>9</issue>
      <elocation-id>397</elocation-id>
      <history>
        <date date-type="received">
          <day>18</day>
          <month>05</month>
          <year>2016</year>
        </date>
        <date date-type="accepted">
          <day>17</day>
          <month>08</month>
          <year>2016</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>&#xA9; 2016 by the authors; licensee MDPI, Basel, Switzerland.</copyright-statement>
        <copyright-year>2016</copyright-year>
        <license>
          <p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).</p>
        </license>
      </permissions>
      <abstract>
        <p>Hydrological properties are driving forces of wetland systems. The influence of water level fluctuations on vegetation distribution is of growing interest as wetlands are increasingly disturbed by climate change and intensive human activity. Based on time series MODIS (Moderate Resolution Imaging Spectroradiometer) imagery from 2000 to 2012, we investigated the spatial&#x2013;temporal dynamics of wetland vegetation in Poyang Lake using a combined Sen&#x2019;s slope and Mann&#x2013;Kendall (MK) test approach, and explored their correlations with water level fluctuations in different hydrological periods. The results showed that more than 34% of wetlands at lower elevations of Poyang Lake had experienced an increasing trend in the enhanced vegetation index (EVI), whereas EVI in about 11% of the wetlands at higher elevations decreased significantly. Responses of grassland area extracted from MODIS EVI were found to be more sensitive to water level fluctuations in the southern lakes. The change rate of grassland area decreased with the rising water level during the rising period, but increased with the rising water level during the retreating period. Correlations between grassland area and water level were much weaker in the dry period. In addition, we found fluctuations of the main water body had negligible effect on grassland area since the water level at Xingzi station was below 14 m. These results provide new insights for predicting future changes of wetland vegetation influenced by the ongoing threats from climate change and human activity, and form a foundation for ecosystem management of Poyang Lake.</p>
      </abstract>
      <kwd-group>
        <kwd>spatial-temporal dynamics</kwd>
        <kwd>wetland vegetation</kwd>
        <kwd>water level fluctuations</kwd>
        <kwd>Poyang Lake</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1-water-08-00397" sec-type="intro">
      <title>1. Introduction</title>
      <p>As the primary producer of wetlands in the coastal zone and around lakes and reservoirs, wetland vegetation is an internationally important biodiversity resource. Wetlands provide important ecosystem services, such as erosion control, water quality improvement, and fisheries and wildlife habitat protection, while supporting economic activities such as livestock grazing and medicinal plants collection [<xref ref-type="bibr" rid="B1-water-08-00397">1</xref>,<xref ref-type="bibr" rid="B2-water-08-00397">2</xref>,<xref ref-type="bibr" rid="B3-water-08-00397">3</xref>]. Wetland plant communities vary spatially and temporally with interspecific competition [<xref ref-type="bibr" rid="B4-water-08-00397">4</xref>], microtopography [<xref ref-type="bibr" rid="B5-water-08-00397">5</xref>], soil [<xref ref-type="bibr" rid="B6-water-08-00397">6</xref>], climate [<xref ref-type="bibr" rid="B7-water-08-00397">7</xref>], management [<xref ref-type="bibr" rid="B8-water-08-00397">8</xref>], and particularly, water regime [<xref ref-type="bibr" rid="B9-water-08-00397">9</xref>,<xref ref-type="bibr" rid="B10-water-08-00397">10</xref>,<xref ref-type="bibr" rid="B11-water-08-00397">11</xref>]. In shallow lakes, water level fluctuations are a decisive element in the water regime, which is determined by water depth and the rate, duration, frequency, amplitude, and timing of flood or draw-down events [<xref ref-type="bibr" rid="B12-water-08-00397">12</xref>,<xref ref-type="bibr" rid="B13-water-08-00397">13</xref>]. The condition of fish and wildlife habitat, patterns of biotic succession, species richness, biodiversity, productivity and spatial distribution of wetland plant communities are dependent on water level fluctuations of varying frequency and amplitude [<xref ref-type="bibr" rid="B14-water-08-00397">14</xref>,<xref ref-type="bibr" rid="B15-water-08-00397">15</xref>,<xref ref-type="bibr" rid="B16-water-08-00397">16</xref>]. Therefore, accurate estimation of the spatial&#x2013;temporal patterns of wetland vegetation and driving forces of water level fluctuations is critical to assist flood control, land use planning, and lake ecological conservation.</p>
      <p>As one of the most frequently flooded but also drought-stricken areas in China, the Poyang Lake wetland is famous for its high plant species richness and diversity, and was registered as an internationally important wetland by the United Nations in 1992. Poyang Lake is the largest freshwater lake in China, and the lake water levels depend on both inflow from tributaries and outflow into the Yangtze River. The water levels are significantly affected by the Yangtze River discharge or height [<xref ref-type="bibr" rid="B17-water-08-00397">17</xref>,<xref ref-type="bibr" rid="B18-water-08-00397">18</xref>]. Poyang Lake water levels have been declining significantly due to climate change and human activity, and the ecological and environmental conditions have been evolving rapidly over the last decade [<xref ref-type="bibr" rid="B19-water-08-00397">19</xref>,<xref ref-type="bibr" rid="B20-water-08-00397">20</xref>,<xref ref-type="bibr" rid="B21-water-08-00397">21</xref>]. The construction of the Three Gorges Dam (TGD) upstream of the Yangtze River, which began to impound water on 1 June 2003, is likely a causal factor for the decline in Poyang Lake water level [<xref ref-type="bibr" rid="B22-water-08-00397">22</xref>]. Flow reduction caused by the TGD led to a decrease of the mean water level by 0.94 m at Hukou (outlet of Poyang Lake), 0.74 m at Xingzi in the northern part of the lake, and 0.50 m at Duchang near the lake center [<xref ref-type="bibr" rid="B23-water-08-00397">23</xref>].</p>
      <p>Consequently, the altered hydrology could result in a potential change in wetland vegetation, especially for those species that are sensitive to hydrological variations [<xref ref-type="bibr" rid="B24-water-08-00397">24</xref>]. If the lake level variation is larger than the ability of the species to colonize the new environments, the distribution area of many plant communities will likely diminish. For instance, hygrophytes growing at the upper edge of the wetland have been seriously degraded and some have been replaced by mesophytes [<xref ref-type="bibr" rid="B25-water-08-00397">25</xref>]. <italic>Phragmites australis</italic> located at the interface between land and water has significantly expanded downward and occupied the former habitat of <italic>Carex cinerascens</italic>, while the bottomland species <italic>C. cinerascens</italic> has moved into shallow water areas [<xref ref-type="bibr" rid="B26-water-08-00397">26</xref>]. Moreover, the biomass of the <italic>Phragmites</italic> community has declined by over one half, and the number of species decreased dramatically from 1994 to 2009 [<xref ref-type="bibr" rid="B27-water-08-00397">27</xref>]. To stop the drying of the lake and to minimize the impacts on local socioeconomic development and lake wetland functions, there is a proposal to construct a dam (Poyang Lake Projection, PLP) at the lake&#x2019;s outlet [<xref ref-type="bibr" rid="B28-water-08-00397">28</xref>,<xref ref-type="bibr" rid="B29-water-08-00397">29</xref>]. A better understanding of the relationship between vegetation characteristics and the hydrological conditions is urgently needed to determine water level regulation criteria and evaluate the proposed plan for regulation of the lake.</p>
      <p>Numerous studies have attempted to relate specific environmental factors and individual plant species for the Poyang Lake wetland community in relatively narrow spatial scales: from a typical belt less than 1 km<sup>2</sup> [<xref ref-type="bibr" rid="B30-water-08-00397">30</xref>,<xref ref-type="bibr" rid="B31-water-08-00397">31</xref>] to a reserve covering hundreds of km<sup>2</sup> [<xref ref-type="bibr" rid="B32-water-08-00397">32</xref>]. For example, You et al. (2013) examined the morphological response of individual species to extreme soil moisture conditions in a pot experiment [<xref ref-type="bibr" rid="B33-water-08-00397">33</xref>]. Xu et al. (2013) further noted that species richness and Shannon&#x2013;Weiner indices of three plant communities were significantly correlated with water table depth and the soil moisture gradient [<xref ref-type="bibr" rid="B31-water-08-00397">31</xref>]. Zhang et al. (2012) linked the distribution of relative abundance of different communities with the inundation duration gradient [<xref ref-type="bibr" rid="B32-water-08-00397">32</xref>]. A few scholars have carried out research on the entire Poyang Lake wetland supported by limited (and/or asynchronous) observation data. For example, Zhang et al. (2013) investigated the adaption strategies of the dominant phreatophytes of <italic>Carex</italic> spp., and <italic>Phalaris arundinacea</italic> in the Poyang Lake wetland in response to the water depth gradient [<xref ref-type="bibr" rid="B34-water-08-00397">34</xref>]. Wang et al. (2012) suggested wetland vegetation plant functional types in the Poyang Lake wetland were strongly correlated with different submersion times and flood tolerances [<xref ref-type="bibr" rid="B35-water-08-00397">35</xref>].</p>
      <p>Due to a significant seasonal variation (10 m) in the Poyang Lake water level [<xref ref-type="bibr" rid="B36-water-08-00397">36</xref>], the growth environment of wetland vegetation changes dramatically. Some important ecosystem functions (e.g., wildlife resources, fisheries, and livestock) of wetland vegetation are altered over a short time frame in response to submersion and re-emergence processes, regardless of whether the plant species in functional groups have completed their life cycles. In addition, the effects of individual water regimes can be difficult to isolate. For instance, the duration of flooding is often correlated with depth: longer durations are a consequence of deeper flooding [<xref ref-type="bibr" rid="B37-water-08-00397">37</xref>]. Flood frequency is usually closely linked with flood depth and duration [<xref ref-type="bibr" rid="B38-water-08-00397">38</xref>]. The pattern of wetland vegetation under natural, fluctuating water regimes is a consequence of water level fluctuations by desiccating aquatic plants or inundating terrestrial plants, by modifying oxygen availability in the soil, by accumulating nutrients and toxic substances, and by changing the light climate with depth changes [<xref ref-type="bibr" rid="B15-water-08-00397">15</xref>,<xref ref-type="bibr" rid="B39-water-08-00397">39</xref>]. To the best of our knowledge, many linkages between water level variation and vegetation pattern in the Poyang Lake wetland have not been well-documented. Therefore, a major objective of the current study was to relate hydrological processes to wetland vegetation dynamics at wide spatial and temporal scales.</p>
    </sec>
    <sec id="sec2-water-08-00397">
      <title>2. Materials and Methods</title>
      <p>This chapter describes the materials and methods, including study area, remote sensing and hydrological data, and trend test approach.</p>
      <sec id="sec2dot1-water-08-00397">
        <title>2.1. Study Area</title>
        <p>Located in the northern part of Jiangxi province, Poyang Lake (28&#xB0;24&#x2032;&#x2013;29&#xB0;46&#x2032; N, E 115&#xB0;49&#x2032;&#x2013;116&#xB0;46&#x2032; E) receives inflow from five major rivers (Ganjiang, Fuhe, Xinjiang, Raohe, and Xiushui) in the south and eventually discharges into the main stream of the Yangtze River in the north (<xref ref-type="fig" rid="water-08-00397-f001">Figure 1</xref>). Poyang Lake is geometrically complex with tortuous shorelines and incised bottom morphology, which has been shaped by a combination of lacustrine and riverine morphological processes [<xref ref-type="bibr" rid="B40-water-08-00397">40</xref>]. Based on historical measures of the lake surface during periods with high water levels in combination with recognition of the extensive levee system (in order to separate artificial wetlands from nature wetlands), a study area covering 3124 km<sup>2</sup> was determined using GIS (Geographic Information System) techniques.</p>
        <p>The seasonality of precipitation (influenced by subtropical monsoons), combined with the smooth relief and other factors, results in significant variations in the Poyang Lake&#x2019;s inundation area throughout a year [<xref ref-type="bibr" rid="B41-water-08-00397">41</xref>]. The lake has a maximum area of more than 3000 km<sup>2</sup> during the wet season from April to September and shrinks to 1000 km<sup>2</sup> to form a narrow meandering channel from October to March [<xref ref-type="bibr" rid="B22-water-08-00397">22</xref>].</p>
        <p>An extensive wetland developed by the dramatic water level fluctuations maintains high plant richness and diversity, and plays an important role in maintaining ecosystem functions. For example, dominant plants, such as <italic>Carex</italic> spp. (including <italic>C. cinerascens</italic>, <italic>C. argyi</italic>, and <italic>C. unisexualis</italic>, etc.) and its companion species, <italic>P. arundinacea</italic>, provide an ideal habitat for migratory birds to spawn, rest, feed, and avoid predators. They also supply local residents with fuel, fertilizer, and grass. <italic>Phragmites</italic> spp., which are typically associated with <italic>Triarrhena lutarioriparia</italic> and <italic>Artemisia selengensis</italic>, make up another important community. <italic>Phragmites</italic> spp. and <italic>Triarrhena</italic> spp. provide food and habitat for wintering migratory birds, and their height also protects the migratory birds from human interference [<xref ref-type="bibr" rid="B42-water-08-00397">42</xref>]. <italic>Artemisia</italic> spp. is the main forage grass with high food and medicinal value.</p>
      </sec>
      <sec id="sec2dot2-water-08-00397">
        <title>2.2. The Moderate Resolution Imaging Spectroradiometer (MODIS)</title>
        <p>Wessels et al. (2004) suggested general land cover patterns (e.g., grassland, deciduous/evergreen forest, and agricultural) could be successfully mapped with MODIS data [<xref ref-type="bibr" rid="B43-water-08-00397">43</xref>]. In this study, vegetation dynamics of the Poyang Lake wetland were detected with MODIS 250 m imagery (2000&#x2013;2012). MODIS data from the Terra satellite are collected on a near daily basis and are processed and composited into 16 day values by NASA&#x2019;s EROS Data Center using 3&#x2013;5 cloud-free images for each collection interval. The enhanced vegetation index (EVI) data acquired from the Oak Ridge National Laboratory&#x2019;s Distributed Active Archive Center (DAAC) website are available as georectified and atmospherically corrected Terra MODIS products. These products provide significant refinements in spectral, radiometric, and geometric properties compared to previously available data sets with similar spatial resolution [<xref ref-type="bibr" rid="B44-water-08-00397">44</xref>]. For example, EVI is less sensitive to soil and atmospheric effects than the widely used normalized difference vegetation index (NDVI) because it incorporates blue spectral wavelengths [<xref ref-type="bibr" rid="B45-water-08-00397">45</xref>]. As a result, EVI remains sensitive to increases in canopy density beyond where NDVI becomes saturated [<xref ref-type="bibr" rid="B46-water-08-00397">46</xref>]. Non-rationing vegetation indices, such as the perpendicular vegetation index (PVI) and the green vegetation index (GVI) are generally more linear with less saturation problems, but require external and sensor noise removal in the derivation of surface reflectances that are input to VI computation [<xref ref-type="bibr" rid="B47-water-08-00397">47</xref>,<xref ref-type="bibr" rid="B48-water-08-00397">48</xref>]. Current emphasis in the observing system (EOS) era involves operational &#x201C;external&#x201D; noise removal through improved calibration, atmospheric correction, cloud and cloud shadow removal, and standardization of sun&#x2013;surface&#x2013;sensor geometries with bidirectional reflectance distribution function (BRDF) models. This allows for the introduction of EVI for operational monitoring of Earth&#x2019;s vegetation. The MODIS EVI is calculated from the following equation:
          <disp-formula id="FD1-water-08-00397">
            <label>(1)</label>
            <mml:math id="mm1" display="block">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>EVI</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mn>2.5</mml:mn>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:mfrac>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>R</mml:mi>
                        <mml:mrow>
                          <mml:mi>NIR</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:msub>
                        <mml:mi>R</mml:mi>
                        <mml:mrow>
                          <mml:mi>Red</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mn>1</mml:mn>
                      <mml:mo>+</mml:mo>
                      <mml:msub>
                        <mml:mi>R</mml:mi>
                        <mml:mrow>
                          <mml:mi>NIR</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                      <mml:mo>+</mml:mo>
                      <mml:mn>6</mml:mn>
                      <mml:mo>&#xD7;</mml:mo>
                      <mml:msub>
                        <mml:mi>R</mml:mi>
                        <mml:mrow>
                          <mml:mi>Red</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:mn>7.5</mml:mn>
                      <mml:mo>&#xD7;</mml:mo>
                      <mml:msub>
                        <mml:mi>R</mml:mi>
                        <mml:mrow>
                          <mml:mi>Blue</mml:mi>
                        </mml:mrow>
                      </mml:msub>
                    </mml:mrow>
                  </mml:mfrac>
				  <mml:mo>,</mml:mo>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
        where <italic>R</italic><sub>NIR</sub> (near-infrared band: 841&#x2013;876 nm), <italic>R</italic><sub>Red</sub> (red band: 620&#x2013;670 nm) and <italic>R</italic><sub>Blue</sub> (blue band: 459&#x2013;479 nm) are atmospherically corrected or partially atmosphere-corrected (Rayleigh and ozone absorption) surface reflectances; the coefficient &#x201C;1&#x201D; accounts for canopy background scattering and the blue and red coefficients, and 6 and 7.5 minimize residual aerosol variations.</p>
        <p>In addition, 54 scenes of cloud-free Landsat MSS/TM/ETM+ images (30 m &#xD7; 30 m<sup>2</sup>) with the same overpass date were selected to validate the lower-resolution MODIS observations. These data were acquired from the Global Land Cover Facility (GLCF). MSS/TM/ETM+ band 3 (red band) and band 4 (NIR band) were used to delineate the relatively accurate vegetation cover.</p>
        <p>In this study, the grasslands were delineated using a thresholding segmentation algorithm, which assumes the EVI images are relatively homogeneous regions that can be separated by selecting the appropriate threshold. An optimal threshold between vegetation and non-vegetation features was determined using the generated EVI histogram. In the same way, grassland area was also obtained from the transformed NDVI, which was extracted from Landsat MSS/TM/ETM+ DN values.</p>
      </sec>
      <sec id="sec2dot3-water-08-00397">
        <title>2.3. Water Level Information</title>
        <p>Observed daily water levels at four gauging stations (Xingzi, Duchang, Tangyin, and Kangshan) available for the period of 2000&#x2013;2012 were acquired from the Hydrological Bureau of Jiangxi Province and the Hydrological Bureau of the Yangtze River Water Resources Commission. Xingzi station was selected as the most downstream and the closest to the northern part of the lake, and was considered to best reflect the water level fluctuations in the long and narrow watercourse that flows into the Yangtze River mainstream. Duchang and Tangyin stations are expected to reflect the water level fluctuations in the central part of the lake, which is characterized by a broad area with high vegetation coverage (e.g., Poyang Lake National Nature Reserve (PLNNR) and Nanji Wetland National Nature Reserve (NWNNR)). Kangshan station, located at the most upstream end of the lake, was selected because it is expected to respond primarily to catchment runoff in the southern part of Poyang Lake.</p>
      </sec>
      <sec id="sec2dot4-water-08-00397">
        <title>2.4. Sen&#x2019;s Slope Estimator and Mann&#x2013;Kendall (MK) Test</title>
        <p>A combined Sen&#x2019;s slope and MK test approach was applied to analyze trends in the EVI time series. Sen&#x2019;s slope involves computing the slopes for all temporally ordered pairs of data points and then calculating the median of these slopes as an estimate of the overall slope. Since Sen&#x2019;s slope is not greatly affected by outliers or single data errors, and missing values are also allowed, it is more rigorous than the commonly used regression slopes and thus provides a realistic measure of the trends in time series [<xref ref-type="bibr" rid="B49-water-08-00397">49</xref>,<xref ref-type="bibr" rid="B50-water-08-00397">50</xref>]. But, this approach cannot test the significance of the time series. The MK test is a non-parametric test and does not require the data to be normally distributed. Meanwhile, the MK test has low sensitivity to abrupt breaks due to non-homogeneous time series [<xref ref-type="bibr" rid="B51-water-08-00397">51</xref>,<xref ref-type="bibr" rid="B52-water-08-00397">52</xref>]. Therefore, the MK test was used to determine whether the trend in EVI time series was significant.</p>
        <p>First, the slopes of all data value pairs were calculated as:
          <disp-formula id="FD2-water-08-00397">
            <label>(2)</label>
            <mml:math id="mm2" display="block">
              <mml:semantics>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>Q</mml:mi>
                    <mml:mi mathvariant="normal">i</mml:mi>
                  </mml:msub>
                  <mml:mo>=</mml:mo>
                  <mml:mfrac>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>x</mml:mi>
                        <mml:mi mathvariant="normal">j</mml:mi>
                      </mml:msub>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:msub>
                        <mml:mi>x</mml:mi>
                        <mml:mi mathvariant="normal">k</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mi>j</mml:mi>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:mi>k</mml:mi>
                    </mml:mrow>
                  </mml:mfrac>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
        in which <italic>x</italic><sub>j</sub> and <italic>x</italic><sub>k</sub> are pairs of the EVI series, and <italic>j</italic> and <italic>k</italic> are serial numbers, <italic>j &gt; k</italic>. If there are <italic>N</italic> values <italic>x</italic><sub>j</sub> in the time series we get as many as <italic>N = n (n &#x2212;</italic> 1<italic>)/</italic>2 slope estimates <italic>Q</italic><sub>i</sub> (<italic>n</italic> is the length of the series, <italic>n</italic> = 296). Sen&#x2019;s slope is the median of these <italic>N</italic> values of <italic>Q</italic><sub>i</sub>. The <italic>N</italic> values of <italic>Q</italic><sub>i</sub> are ranked from the smallest to the largest and the Sen&#x2019;s estimator is
          <disp-formula id="FD3-water-08-00397">
            <label>(3)</label>
            <mml:math id="mm3" display="block">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>Q</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mrow>
                    <mml:mo>{</mml:mo>
                    <mml:mrow>
                      <mml:mtable>
                        <mml:mtr>
                          <mml:mtd>
                            <mml:mrow>
                              <mml:msub>
                                <mml:mi>Q</mml:mi>
                                <mml:mrow>
                                  <mml:mrow>
                                    <mml:mo>(</mml:mo>
                                    <mml:mrow>
                                      <mml:mfrac>
                                        <mml:mrow>
                                          <mml:mi>N</mml:mi>
                                          <mml:mo>+</mml:mo>
                                          <mml:mn>1</mml:mn>
                                        </mml:mrow>
                                        <mml:mn>2</mml:mn>
                                      </mml:mfrac>
                                    </mml:mrow>
                                    <mml:mo>)</mml:mo>
                                  </mml:mrow>
                                </mml:mrow>
                              </mml:msub>
                              <mml:mo>,</mml:mo>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mi>N</mml:mi>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mtext>is odd</mml:mtext>
                            </mml:mrow>
                          </mml:mtd>
                        </mml:mtr>
                        <mml:mtr>
                          <mml:mtd>
                            <mml:mrow>
                              <mml:mfrac>
                                <mml:mrow>
                                  <mml:msub>
                                    <mml:mi>Q</mml:mi>
                                    <mml:mrow>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mrow>
                                          <mml:mfrac>
                                            <mml:mi>N</mml:mi>
                                            <mml:mn>2</mml:mn>
                                          </mml:mfrac>
                                        </mml:mrow>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                    </mml:mrow>
                                  </mml:msub>
                                  <mml:mo>+</mml:mo>
                                  <mml:msub>
                                    <mml:mi>Q</mml:mi>
                                    <mml:mrow>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mrow>
                                          <mml:mfrac>
                                            <mml:mrow>
                                              <mml:mi>N</mml:mi>
                                              <mml:mo>+</mml:mo>
                                              <mml:mn>2</mml:mn>
                                            </mml:mrow>
                                            <mml:mn>2</mml:mn>
                                          </mml:mfrac>
                                        </mml:mrow>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                    </mml:mrow>
                                  </mml:msub>
                                </mml:mrow>
                                <mml:mn>2</mml:mn>
                              </mml:mfrac>
                              <mml:mo>,</mml:mo>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mi>N</mml:mi>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mtext>is even</mml:mtext>
                            </mml:mrow>
                          </mml:mtd>
                        </mml:mtr>
                      </mml:mtable>
                      <mml:mtext>&#xA0;</mml:mtext>
                    </mml:mrow>
                  </mml:mrow>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula></p>
        <p>A positive value of <italic>Q</italic> indicates an increasing trend whereas a negative value indicates a decreasing trend.</p>
        <p>Then the MK test statistic is calculated as
          <disp-formula id="FD4-water-08-00397">
            <label>(4)</label>
            <mml:math id="mm4" display="block">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>S</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:munderover>
                    <mml:mstyle mathsize="140%" displaystyle="true">
                      <mml:mo>&#x2211;</mml:mo>
                    </mml:mstyle>
                    <mml:mrow>
                      <mml:mi>i</mml:mi>
                      <mml:mo>=</mml:mo>
                      <mml:mn>1</mml:mn>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mi>n</mml:mi>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:mn>1</mml:mn>
                    </mml:mrow>
                  </mml:munderover>
                  <mml:munderover>
                    <mml:mstyle mathsize="140%" displaystyle="true">
                      <mml:mo>&#x2211;</mml:mo>
                    </mml:mstyle>
                    <mml:mrow>
                      <mml:mi>j</mml:mi>
                      <mml:mo>=</mml:mo>
                      <mml:mi>i</mml:mi>
                      <mml:mo>+</mml:mo>
                      <mml:mn>1</mml:mn>
                    </mml:mrow>
                    <mml:mi>n</mml:mi>
                  </mml:munderover>
                  <mml:mi>sgn</mml:mi>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>x</mml:mi>
                        <mml:mi mathvariant="normal">j</mml:mi>
                      </mml:msub>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:msub>
                        <mml:mi>x</mml:mi>
                        <mml:mi mathvariant="normal">i</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                  <mml:mtext>&#xA0;</mml:mtext>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
        where <inline-formula>
          <mml:math id="mm5" display="block">
            <mml:semantics>
              <mml:mrow>
                <mml:mi>s</mml:mi>
                <mml:mi>g</mml:mi>
                <mml:mi>n</mml:mi>
                <mml:mo>&#xA0;</mml:mo>
                <mml:mrow>
                  <mml:mo>(</mml:mo>
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>x</mml:mi>
                      <mml:mi>j</mml:mi>
                    </mml:msub>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:msub>
                      <mml:mi>x</mml:mi>
                      <mml:mi>i</mml:mi>
                    </mml:msub>
                  </mml:mrow>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
                <mml:mo>=</mml:mo>
                <mml:mrow>
                  <mml:mo>{</mml:mo>
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:mo>+</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#xA0;</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&gt;</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>i</mml:mi>
                            </mml:msub>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:mo>&#xA0;</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#xA0;</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>i</mml:mi>
                            </mml:msub>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#xA0;</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&lt;</mml:mo>
                            <mml:msub>
                              <mml:mi>x</mml:mi>
                              <mml:mi>i</mml:mi>
                            </mml:msub>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:mrow>
                <mml:mo>&#xA0;</mml:mo>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </inline-formula> and <italic>n</italic> is the sample size. When<inline-formula>
          <mml:math id="mm6" display="block">
            <mml:semantics>
              <mml:mrow>
                <mml:mtext>&#xA0;</mml:mtext>
                <mml:mi>n</mml:mi>
                <mml:mo>&#x2265;</mml:mo>
                <mml:mn>10</mml:mn>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </inline-formula>, the standardized statistics <italic>Z</italic> for the one-tailed test is formulated as
          <disp-formula id="FD5-water-08-00397">
            <label>(5)</label>
            <mml:math id="mm7" display="block">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>Z</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mrow>
                    <mml:mo>{</mml:mo>
                    <mml:mrow>
                      <mml:mtable>
                        <mml:mtr>
                          <mml:mtd>
                            <mml:mrow>
                              <mml:mfrac>
                                <mml:mrow>
                                  <mml:mi>S</mml:mi>
                                  <mml:mo>&#x2212;</mml:mo>
                                  <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mrow>
                                  <mml:msqrt>
                                    <mml:mrow>
                                      <mml:mi>Var</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>S</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                    </mml:mrow>
                                  </mml:msqrt>
                                </mml:mrow>
                              </mml:mfrac>
                              <mml:mo>,</mml:mo>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mi>S</mml:mi>
                              <mml:mo>&gt;</mml:mo>
                              <mml:mn>0</mml:mn>
                            </mml:mrow>
                          </mml:mtd>
                        </mml:mtr>
                        <mml:mtr>
                          <mml:mtd>
                            <mml:mrow>
                              <mml:mn>0</mml:mn>
                              <mml:mo>,</mml:mo>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mi>S</mml:mi>
                              <mml:mo>=</mml:mo>
                              <mml:mn>0</mml:mn>
                            </mml:mrow>
                          </mml:mtd>
                        </mml:mtr>
                        <mml:mtr>
                          <mml:mtd>
                            <mml:mrow>
                              <mml:mfrac>
                                <mml:mrow>
                                  <mml:mi>S</mml:mi>
                                  <mml:mo>+</mml:mo>
                                  <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mrow>
                                  <mml:msqrt>
                                    <mml:mrow>
                                      <mml:mi>Var</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>S</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                    </mml:mrow>
                                  </mml:msqrt>
                                </mml:mrow>
                              </mml:mfrac>
                              <mml:mo>,</mml:mo>
                              <mml:mo>&#xA0;</mml:mo>
                              <mml:mi>S</mml:mi>
                              <mml:mo>&lt;</mml:mo>
                              <mml:mn>0</mml:mn>
                            </mml:mrow>
                          </mml:mtd>
                        </mml:mtr>
                      </mml:mtable>
                    </mml:mrow>
                  </mml:mrow>
                  <mml:mtext>&#xA0;</mml:mtext>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
        in which<inline-formula>
          <mml:math id="mm8" display="block">
            <mml:semantics>
              <mml:mrow>
                <mml:mtext>&#xA0;</mml:mtext>
                <mml:mi>V</mml:mi>
                <mml:mi>a</mml:mi>
                <mml:mi>r</mml:mi>
                <mml:mrow>
                  <mml:mo>(</mml:mo>
                  <mml:mi>S</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
                <mml:mo>=</mml:mo>
                <mml:mrow>
                  <mml:mo stretchy="false">(</mml:mo>
                  <mml:mrow>
                    <mml:mi>n</mml:mi>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mrow>
                        <mml:mi>n</mml:mi>
                        <mml:mo>&#x2212;</mml:mo>
                        <mml:mn>1</mml:mn>
                      </mml:mrow>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mrow>
                        <mml:mn>2</mml:mn>
                        <mml:mi>n</mml:mi>
                        <mml:mo>+</mml:mo>
                        <mml:mn>5</mml:mn>
                      </mml:mrow>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:msubsup>
                        <mml:mo mathsize="small">&#x2211;</mml:mo>
                      <mml:mrow>
                        <mml:mi>i</mml:mi>
                        <mml:mo>=</mml:mo>
                        <mml:mn>1</mml:mn>
                      </mml:mrow>
                      <mml:mi>n</mml:mi>
                    </mml:msubsup>
                    <mml:msub>
                      <mml:mi>t</mml:mi>
                      <mml:mi>i</mml:mi>
                    </mml:msub>
                    <mml:mo stretchy="false">(</mml:mo>
                    <mml:msub>
                      <mml:mi>t</mml:mi>
                      <mml:mi>i</mml:mi>
                    </mml:msub>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                  <mml:mo stretchy="false">)</mml:mo>
                </mml:mrow>
                <mml:mrow>
                  <mml:mo>(</mml:mo>
                  <mml:mrow>
                    <mml:mn>2</mml:mn>
                    <mml:msub>
                      <mml:mi>t</mml:mi>
                      <mml:mi>i</mml:mi>
                    </mml:msub>
                    <mml:mo>+</mml:mo>
                    <mml:mn>5</mml:mn>
                  </mml:mrow>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
                <mml:mo stretchy="false">)</mml:mo>
                <mml:mo>/</mml:mo>
                <mml:mn>18</mml:mn>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </inline-formula>; <italic>n</italic> is the sample size, and <italic>t<sub>i</sub></italic> is the number of ties of extent <italic>i</italic>. In this study, trend free pre-whitening proposed by Yue and Wang (2002) was applied with significant autocorrelation to eliminate the effect of serial correlation [<xref ref-type="bibr" rid="B53-water-08-00397">53</xref>].</p>
        <p>Due to the pre-observation of MODIS between 1 January and 25 February 2000, a total of 296 EVI time-series images (i.e., 23 images/year &#xD7; 13 years &#x2212; 3 images = 296 images) were analyzed in this study. In case <inline-formula>
          <mml:math id="mm9" display="block">
            <mml:semantics>
              <mml:mrow>
                <mml:mrow>
                  <mml:mo>|</mml:mo>
                  <mml:mi>Z</mml:mi>
                  <mml:mo>|</mml:mo>
                </mml:mrow>
                <mml:mo>&#x2264;</mml:mo>
                <mml:msub>
                  <mml:mi>Z</mml:mi>
                  <mml:mrow>
                    <mml:mn>1</mml:mn>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:mfrac>
                      <mml:mo>&#x221D;</mml:mo>
                      <mml:mn>2</mml:mn>
                    </mml:mfrac>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>=</mml:mo>
                <mml:mn>1.96</mml:mn>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </inline-formula> for the trend, the null hypothesis of no trend should be accepted at the 95% significance level. When <inline-formula>
          <mml:math id="mm10" display="block">
            <mml:semantics>
              <mml:mrow>
                <mml:mtext>&#xA0;</mml:mtext>
                <mml:mrow>
                  <mml:mo>|</mml:mo>
                  <mml:mi>Z</mml:mi>
                  <mml:mo>|</mml:mo>
                </mml:mrow>
                <mml:mo>&gt;</mml:mo>
                <mml:mn>1.96</mml:mn>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </inline-formula>, a positive value of <italic>Q</italic> connotes a significant &#x201C;upward trend,&#x201D; while a negative value of <italic>Q</italic> indicates a significant &#x201C;downward trend&#x201D;.</p>
      </sec>
      <sec id="sec2dot5-water-08-00397">
        <title>2.5. Gaussian Regression Model</title>
        <p>Spatial distribution patterns of vegetation dynamics were analyzed by the Gaussian regression model. The Gaussian regression model is available for evaluating the normal distribution patterns [<xref ref-type="bibr" rid="B54-water-08-00397">54</xref>]. The model can be expressed as:
          <disp-formula id="FD6-water-08-00397">
            <label>(6)</label>
            <mml:math display="block" id="mm11">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>y</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mi>c</mml:mi>
                  <mml:mi>exp</mml:mi>
                  <mml:mrow>
                    <mml:mo>[</mml:mo>
                    <mml:mrow>
                      <mml:mo>&#x2212;</mml:mo>
                      <mml:mfrac>
                        <mml:mn>1</mml:mn>
                        <mml:mn>2</mml:mn>
                      </mml:mfrac>
                      <mml:msup>
                        <mml:mrow>
                          <mml:mrow>
                            <mml:mo>(</mml:mo>
                            <mml:mrow>
                              <mml:mi>x</mml:mi>
                              <mml:mo>&#x2212;</mml:mo>
                              <mml:mi>u</mml:mi>
                            </mml:mrow>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:mrow>
                        <mml:mn>2</mml:mn>
                      </mml:msup>
                      <mml:mo>/</mml:mo>
                      <mml:msup>
                        <mml:mi>t</mml:mi>
                        <mml:mn>2</mml:mn>
                      </mml:msup>
                    </mml:mrow>
                    <mml:mo>]</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
        where <italic>y</italic> is the relative abundance (number of pixels) of each classification of vegetation dynamics within each elevation gradient; <italic>x</italic> is the DEM (digital elevation model) data in this paper, derived from the National Geometrics Centre of China; <italic>c</italic> is the maximum of abundance; <italic>u</italic> is the peak of elevation, which appears when <italic>y</italic> equals to <italic>c</italic>; and the full width of half maximum (FWHM) is 4<italic>t</italic>.</p>
      </sec>
    </sec>
    <sec id="sec3-water-08-00397" sec-type="results">
      <title>3. Results and Discussion</title>
      <sec id="sec3dot1-water-08-00397">
        <title>3.1. Spatial and Temporal Variability of EVI</title>
        <p>Sen&#x2019;s slope estimator and the MK test were used to investigate the spatial distribution trend of EVI for each pixel (<xref ref-type="fig" rid="water-08-00397-f002">Figure 2</xref>a). Further, the statistically significant trend of the change rate of EVI was estimated by regressing the time series for each pixel; the resulting slope estimate was used as the EVI change rate (<xref ref-type="fig" rid="water-08-00397-f002">Figure 2</xref>b). A decrease in EVI time series was observed in about 11% of the wetlands in the study area with an averaged changing rate exceeding &#x2212;0.0745 every 10 years (<italic>p</italic> &lt; 0.05). Analyzed by a Gaussian regression model, significant downward trends in EVI were mainly found at 12.5&#x2013;15.3 m elevation in the upper wetlands of the PLNNR and NWNNR (<xref ref-type="table" rid="water-08-00397-t001">Table 1</xref>). In addition, more than 34% of the wetlands in Poyang Lake showed a significant increasing trend in EVI, particularly in the bottomlands (elevation between 9.9 m to 12.9 m). Magnitudes of the upward trends ranged between &#x2212;0.0248 and 0.2716 every 10 years (0.0661 &#xB1; 0.0350, <italic>p</italic> &lt; 0.05).</p>
        <p>It has been noted that under a persistent decline in lake water level, the area of the <italic>Phragmites</italic> community has mainly distributed along levees and on the higher plains of the dish-shaped pit groups, and has been significantly decreased compared to historical evidence. In contrast, the area of the <italic>Carex</italic> community in the bottomlands has significantly increased [<xref ref-type="bibr" rid="B37-water-08-00397">37</xref>].</p>
        <p>In this section, we first presented the spatial and temporal variability of trends in EVI and their change rates across the whole Poyang Lake wetland. These results strongly support the former studies: the biomass, density and/or greenness of upland vegetation (e.g., <italic>Phragmites</italic> spp., <italic>Triarrhena</italic> spp., and <italic>Artemisia</italic> spp.) declined under drought stress, resulting in a significant downward trend in EVI across these regions. In contrast, positive succession occurred in the bottomlands due to the invasion of hygrophilous plants (e.g., <italic>Carex</italic> spp. and <italic>Phalaris</italic> spp.) resulting in a significant upward trend in EVI.</p>
        <p>Our assessment indicates that areas with increased EVI were larger than areas with decreased EVI in the Poyang Lake wetland during 2000&#x2013;2012 (i.e., 1135.80 km<sup>2</sup> &#x2212; 361.44 km<sup>2</sup> = 774.36 km<sup>2</sup>). Instead, the magnitude of the trend in &#x201C;upward&#x201D; regions was smaller than the absolute value in &#x201C;downward&#x201D; regions. Degradation and succession of vegetation may lead to changes of grassland area, which are significant to the evolution of wetland ecosystems. Differential responses of grassland area within Poyang Lake wetland to the water level fluctuations during typical hydrological periods still remain unclear.</p>
      </sec>
      <sec id="sec3dot2-water-08-00397">
        <title>3.2. Relations between Grassland Area and Water Level</title>
        <p><xref ref-type="fig" rid="water-08-00397-f003">Figure 3</xref> shows the accuracy assessment results of MODIS-derived grassland area, revealing a high correlation with the Landsat-derived results. The absolute and relative differences between the two datasets are 28.9 km<sup>2</sup> and 1.7%, respectively. For all of the MODIS-derived grassland area, the comparison with the Landsat values resulted in an average absolute error (AAE) of 193.67 km<sup>2</sup>, a root mean square error (RMSE) of 233.01 km<sup>2</sup>, and an <italic>R<sup>2</sup></italic> of 0.93, indicating the relationships between fine resolution (e.g., Landsat MSS/TM/ETM+) and coarse resolution (e.g., MODIS) are linear and constant over time.</p>
        <p>Several pioneering studies have shown that the polynomial regression is qualified to characterize the response of grassland area to water level fluctuations because the quadratic function produced the best fit with the largest correlation coefficient between them [<xref ref-type="bibr" rid="B55-water-08-00397">55</xref>,<xref ref-type="bibr" rid="B56-water-08-00397">56</xref>]. The coefficients of <italic>x<sup>2</sup></italic> in quadratic function are related to the slope of the curves: a positive value indicates a parabola going upward (meaning greater change in grassland area at relatively low water levels), and a negative value indicates a parabola going downward (meaning smaller change in grassland at relatively low water levels, but greater at higher water levels).</p>
        <p>The submersion&#x2014;emersion processes of wetlands in different zones of Poyang Lake during the rising and retreating water periods were divided according to the lake&#x2019;s hydrological and topographic features. Indeed, the timing and duration of inundation directly affect the productivity, biomass, species richness and diversity of wetland plants. We infer that the variations of grassland area have differential responses to the water level fluctuations in different lake regions during typical hydrological periods (<xref ref-type="table" rid="water-08-00397-t002">Table 2</xref>).</p>
        <p>During the water rising period (submersion of grassland), water levels gradually increased from north to south, a pattern that was especially dominant in the lake&#x2019;s main body and nearby estuary delta zones (e.g., PLNNR and NWNNR), resulting in a high correlation between grassland area and water levels at Duchang and Tangyin stations (<xref ref-type="fig" rid="water-08-00397-f004">Figure 4</xref>). Because a larger proportion of wetland vegetation is distributed in the very flat lowlands of Poyang Lake, the change slope of grassland area was great at first, and decreased with the rising water levels.</p>
        <p>There are a lot of shallow sub-lakes in the middle and northern wetlands of Poyang Lake (relatively far away from the Kangshan gauging station), such as Dachahu (covers an area of 85 km<sup>2</sup>), Banghu (covers an area of 73 km<sup>2</sup>), and Dahuchi (covers an area of 30 km<sup>2</sup>), which account for a large portion of Poyang Lake grassland. These sub-lakes connect to Poyang Lake during periods with higher water levels, and separate from the Poyang Lake during periods with lower water levels. In <xref ref-type="fig" rid="water-08-00397-f005">Figure 5</xref>, the <italic>R</italic><sup>2</sup> values are relatively low for Xingzi (<italic>R</italic><sup>2</sup> = 0.55), Duchang (<italic>R</italic><sup>2</sup> = 0.56), and Tangyin (<italic>R</italic><sup>2</sup> = 0.55), indicating that grassland area in the sub-lakes no longer correlated to the middle and northern water level fluctuations of Poyang Lake at some water elevations. This case may also happen in severe drought years. To minimize the spatial variability of water level, the water level variations at Kangshan station were small during this period, suggesting a distinct change in grassland area during the low water period. After that, most grasslands were inundated by floods during the high water period.</p>
        <p>Through all hydrological periods, we further found the grassland area was linearly related to water level fluctuations when the water level of Poyang Lake at Xingzi station was higher than 14 m (<italic>p</italic> &lt; 0.01), and this relationship disappeared when the water level of Poyang Lake at Xingzi station was lower than 14 m (<xref ref-type="fig" rid="water-08-00397-f006">Figure 6</xref>). This result was consistent with former studies [<xref ref-type="bibr" rid="B31-water-08-00397">31</xref>,<xref ref-type="bibr" rid="B57-water-08-00397">57</xref>].</p>
        <p>During the retreating period, the water level decreases slowly from south to north, with water levels dropping first in the southern parts of Poyang Lake and a water level gradient reappearing in the main lake body of the lake [<xref ref-type="bibr" rid="B58-water-08-00397">58</xref>]. Different from the rising period, the slope of grassland area change decreased with the declining water levels due to the distribution pattern of wetland vegetation in Poyang Lake (<xref ref-type="fig" rid="water-08-00397-f007">Figure 7</xref>). The slope increased from north to south as follows: Xingzi (coefficient of <italic>x</italic><sup>2</sup> equals to &#x2212;16.21), Duchang (coefficient of <italic>x</italic><sup>2</sup> equals to &#x2212;19.08), Tangyin (coefficient of <italic>x</italic><sup>2</sup> equals to &#x2212;31.99), and Kangshan (coefficient of <italic>x</italic><sup>2</sup> equals to &#x2212;96.98).</p>
        <p>The growing status of wetland plants is mainly controlled by ground water and weather (temperature) conditions [<xref ref-type="bibr" rid="B42-water-08-00397">42</xref>]. Species with two growing cycles grow slowly and eventually stop growing in winter due to cold temperatures, and fresh biomass and canopy water content start to drop. The senescent stage of other species living at higher altitudes with one growing cycle (e.g., <italic>Artemisia</italic> spp.) starts in December due to cold weather and lack of water. In contrast, with the exception of the lake depressions and several artificial lakes, only the main channel was inundated during the dry period; the relatively stable lake water levels with low variation amplitudes did not likely explain the changes in grassland area (<xref ref-type="fig" rid="water-08-00397-f008">Figure 8</xref>). But the relatively shallow water and bare ground covered by mud and grass provide ideal habitats and food for migratory birds.</p>
        <p>Liu et al. (2011) found that when the water level of Poyang Lake was higher than 14.18 m (Xingzi Station) in the dry season, fewer habitats for birds remained because the area with low water depth disappeared [<xref ref-type="bibr" rid="B59-water-08-00397">59</xref>]. The proposed PLP would play a role from September to March in maintaining the lake water level at 15 m or higher. For species that are found only at Poyang Lake, if critical habitat was lost during infrequent hydrological events, populations would decline or be eliminated because the species lifecycle would be broken [<xref ref-type="bibr" rid="B60-water-08-00397">60</xref>,<xref ref-type="bibr" rid="B61-water-08-00397">61</xref>]. Moreover, sedge communities can tolerate flooding during part of the year, usually during the summer months. If these communities remained inundated permanently, it would greatly affect the fitness of adult plants, and cause failure in seed regeneration [<xref ref-type="bibr" rid="B62-water-08-00397">62</xref>]. Lacking appropriate habitat, many wintering bird populations could be lost or severely reduced. Realistic projections of the impact of the project are required.</p>
      </sec>
    </sec>
    <sec id="sec4-water-08-00397" sec-type="conclusions">
      <title>4. Conclusions</title>
      <p>This study primarily addressed the variations in wetland vegetation across the largest freshwater lake in China using MODIS data collected from 2000 to 2012. The combined Sen&#x2019;s slope and MK test approach was applied to analyze trends in EVI time series. There were statistically significant decreasing trends in the mesophytes and semi-aquatic emergent tall vegetation growing at the upper edge of the Poyang Lake wetland. In contrast, increasing trends in vegetation were found in the recently exposed bottomland. Although such dynamic changes are well known, we believe that this is the first time they have been quantified using high-frequency long-term remote sensing data and, therefore, have more statistical meaning. For example, up to 1135.80 km<sup>2</sup> of bottomland at 9.9&#x2013;12.9 m elevation has experienced an increasing trend in EVI with a rate averaged at 0.0661 every 10 years, whereas EVI in about 361.44 km<sup>2</sup> of uplands (12.5&#x2013;15.3 m) has decreased by an average rate of &#x2212;0.0745 every 10 years. We believe that these &#x201C;trends&#x201D; are mainly driven by the 13 year water level fluctuations, and will lead to changes of grassland area in Poyang Lake wetland.</p>
      <p>Further analysis indicated that changes of grassland area were significantly correlated with water level fluctuations. With respect to spatial variability, we demonstrated that the water level fluctuations affected the change rate of grassland area in a descending order from south to north, corresponding to the variation amplitude of water level in different parts of the lake. For the four hydrological periods, the slope of grassland area change decreased with the rising water level during the rising period due to the distribution pattern of wetland vegetation in Poyang Lake. In contrast, a relatively small change of grassland area was found at lower water levels during the retreating period, but a greater change was found at higher water levels. Correlations between them were much weaker in the dry period, which was affected by the phonological features of wetland vegetation. It is worth noting that fluctuations of the main water body have negligible effect on grassland area since the water level at Xingzi station is below 14 m on an annual basis.</p>
      <p>In recent years, Poyang Lake no longer supports its original ecological system and is undergoing a gradual trend of shrinking. The distribution and prevalence of wetland vegetation would hence be influenced by the ongoing threats from both climate change and human activity, especially from hydro-engineering projects (e.g., the TGD and the proposed PLP). We believe the methodology applied in this study provides new insights for extracting wetland vegetation patterns and their dynamics at wide spatial and temporal scales. Linkages between vegetation distribution and hydrological processes may serve as a foundation for predicting how wet grassland changes respond to future water level fluctuations in Poyang Lake. This could help determine the optimal scheduling of hydro-engineering projects, and help formation of management policies for wetland vegetation restoration.</p>
    </sec>
  </body>
  <back>
    <ack>
      <title>Acknowledgments</title>
      <p>This work was partly supported by National Science Foundation of China (41271034 and 41371121), Science and Technology Project of JiangSu Province (BZ2014005 and BE2014739), Key Laboratory of Poyang Lake Wetland and Watershed Research, Ministry of Education (Jiangxi normal University, PK2015008) and Key Laboratory of Karst Ecosystem and Rocky Desertification Control, Ministry of Land and Resources.</p>
    </ack>
    <notes>
      <title>Author Contributions</title>
      <p>Zhiqiang Tan carried out data processing, data analysis and wrote the paper. Jiahu Jiang proposed the main idea, offered guidance to complete the work and made revisions to the manuscript.</p>
    </notes>
    <notes notes-type="COI-statement">
      <title>Conflicts of Interest</title>
      <p>The authors declare no conflicts of interest.</p>
    </notes>
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              <given-names>J.</given-names>
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              <given-names>G.</given-names>
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          </person-group>
          <source>Potential Impacts of a Water Control Structure on the Abundance and Distribution of Wintering Waterbirds at Poyang Lake</source>
          <publisher-name>International Crane Foundation</publisher-name>
          <publisher-loc>Baraboo, WI, USA</publisher-loc>
          <year>2009</year>
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              <surname>Qi</surname>
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              <surname>Liao</surname>
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          <article-title>A study on the scheme of water level regulation of the Poyang Lake hydraulic project</article-title>
          <source>J. Acta Geogr. Sin.</source>
          <year>2013</year>
          <volume>68</volume>
          <fpage>118</fpage>
          <lpage>126</lpage>
          <comment>(In Chinese)</comment>
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            <name>
              <surname>Liu</surname>
              <given-names>G.H.</given-names>
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              <given-names>W.</given-names>
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              <surname>Zhou</surname>
              <given-names>J.</given-names>
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              <surname>Liu</surname>
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              <surname>Yang</surname>
              <given-names>D.</given-names>
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              <surname>Davy</surname>
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            </name>
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          <article-title>How does the propagule bank contribute to cyclic vegetation change in a lakeshore marsh with seasonal drawdown?</article-title>
          <source>Aquat. Bot.</source>
          <year>2006</year>
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    </ref-list>
    <sec sec-type="display-objects">
      <title>Figures and Tables</title>
      <fig id="water-08-00397-f001" position="float">
        <label>Figure 1</label>
        <caption>
          <p>Locations of the Poyang Lake wetland, nature reserves, and meteorological and gauging stations. PLNNR: Poyang Lake National Nature Reserve; NWNNR: Nanji Wetland National Nature Reserve.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g001.tif"/>
      </fig>
      <fig id="water-08-00397-f002" position="float">
        <label>Figure 2</label>
        <caption>
          <p>Spatial distribution of variation trend (<bold>a</bold>) in EVI and the change rate; (<bold>b</bold>) of EVI with statistically significant trends during 2000&#x2013;2012.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g002.tif"/>
      </fig>
      <fig id="water-08-00397-f003" position="float">
        <label>Figure 3</label>
        <caption>
          <p>The accuracy assessment results of Moderate Resolution Imaging Spectroradiometer (MODIS)-derived grassland area. The vertical axis shows the Landsat-derived grassland area and the horizontal axis shows the MODIS-derived grassland area. The perfect agreement line (1:1) and linear regression are also plotted.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g003.tif"/>
      </fig>
      <fig id="water-08-00397-f004" position="float">
        <label>Figure 4</label>
        <caption>
          <p>Relationships between grassland area and water level fluctuations ((<bold>a</bold>) Xingzi; (<bold>b</bold>) Duchang; (<bold>c</bold>) Tangyin; (<bold>d</bold>) Kangshan) during the rising period.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g004.tif"/>
      </fig>
      <fig id="water-08-00397-f005" position="float">
        <label>Figure 5</label>
        <caption>
          <p>Relationships between grassland area and water level fluctuations ((<bold>a</bold>) Xingzi; (<bold>b</bold>) Duchang; (<bold>c</bold>) Tangyin; (<bold>d</bold>) Kangshan) during the flood period.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g005.tif"/>
      </fig>
      <fig id="water-08-00397-f006" position="float">
        <label>Figure 6</label>
        <caption>
          <p>Relationships between grassland area in the Poyang Lake wetland and the fluctuations of Xingzi water level (separated at 14 m of water level).</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g006.tif"/>
      </fig>
      <fig id="water-08-00397-f007" position="float">
        <label>Figure 7</label>
        <caption>
          <p>Relationships between grassland area and water level fluctuations ((<bold>a</bold>) Xingzi; (<bold>b</bold>) Duchang; (<bold>c</bold>) Tangyin; (<bold>d</bold>) Kangshan) during the retreating period.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g007.tif"/>
      </fig>
      <fig id="water-08-00397-f008" position="float">
        <label>Figure 8</label>
        <caption>
          <p>Relationships between grassland area and water level fluctuations ((<bold>a</bold>) Xingzi; (<bold>b</bold>) Duchang; (<bold>c</bold>) Tangyin; (<bold>d</bold>) Kangshan) during the dry period.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="water-08-00397-g008.tif"/>
      </fig>
      <table-wrap id="water-08-00397-t001" position="float">
        <object-id pub-id-type="pii">water-08-00397-t001_Table 1</object-id>
        <label>Table 1</label>
        <caption>
          <p>Distribution of elevation of regions that experienced significant enhanced vegetation index (EVI) changes. Var: Variance; Std: Standard deviation.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th rowspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Statistical Index</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Elevation (m)</th>
            </tr>
            <tr>
              <th align="center" valign="middle" style="border-bottom:solid thin">&#x201C;Downward&#x201D; Region</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">&#x201C;Upward&#x201D; Region</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle">Mean</td>
              <td align="center" valign="middle">13.4</td>
              <td align="center" valign="middle">11.3</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Median</td>
              <td align="center" valign="middle">13.6</td>
              <td align="center" valign="middle">11.3</td>
            </tr>
            <tr>
              <td align="center" valign="middle">MIN</td>
              <td align="center" valign="middle">&#x2212;6.0</td>
              <td align="center" valign="middle">&#x2212;9.8</td>
            </tr>
            <tr>
              <td align="center" valign="middle">MAX</td>
              <td align="center" valign="middle">20.2</td>
              <td align="center" valign="middle">20.2</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Var</td>
              <td align="center" valign="middle">6.2</td>
              <td align="center" valign="middle">6.1</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Std</td>
              <td align="center" valign="middle">2.5</td>
              <td align="center" valign="middle">2.5</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Peak</td>
              <td align="center" valign="middle">13.9</td>
              <td align="center" valign="middle">11.4</td>
            </tr>
            <tr>
              <td align="center" valign="middle">FWHM</td>
              <td align="center" valign="middle">2.8</td>
              <td align="center" valign="middle">3.0</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Range</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">12.5&#x2013;15.3</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">9.9&#x2013;12.9</td>
            </tr>
          </tbody>
        </table>
		</table-wrap>
      <table-wrap id="water-08-00397-t002" position="float">
        <object-id pub-id-type="pii">water-08-00397-t002_Table 2</object-id>
        <label>Table 2</label>
        <caption>
          <p>Hydrological periods of Poyang Lake and the MODIS EVI time series with the same overpass time. DOY: day of year.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Hydrological Period</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Characteristics of Water Level</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Month</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Synchronous Data of EVI (DOY)</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Dry</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Maintain relatively stable low water level</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Dec&#x2013;Mar</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">337, 353 and 1, 17, 33, 49, 65, 81 of the next year</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Rising</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Rapid rise of water level</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Apr&#x2013;May</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">97, 113, 129 and 145</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Flood</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Experience sustained high water level fluctuations</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Jul&#x2013;Sep</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">161, 177, 193, 209, 225, 241 and 257</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Retreating</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Steady decline of water level</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Oct&#x2013;Nov</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">273, 289, 305 and 321</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
  </back>
</article>
