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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">sustainability</journal-id>
      <journal-title>Sustainability</journal-title>
      <abbrev-journal-title abbrev-type="publisher">Sustainability</abbrev-journal-title>
      <abbrev-journal-title abbrev-type="pubmed">Sustainability</abbrev-journal-title>
      <issn pub-type="epub">2071-1050</issn>
      <publisher>
        <publisher-name>MDPI</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3390/su9020199</article-id>
      <article-id pub-id-type="publisher-id">sustainability-09-00199</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Ecosystem Services and Ecological Restoration in the Northern Shaanxi Loess Plateau, China, in Relation to Climate Fluctuation and Investments in Natural Capital</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Wei</surname>
            <given-names>Hejie</given-names>
          </name>
          <xref rid="af1-sustainability-09-00199" ref-type="aff">1</xref>
          <xref rid="af2-sustainability-09-00199" ref-type="aff">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Fan</surname>
            <given-names>Weiguo</given-names>
          </name>
          <xref rid="af1-sustainability-09-00199" ref-type="aff">1</xref>
          <xref rid="af2-sustainability-09-00199" ref-type="aff">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ding</surname>
            <given-names>Zhenyu</given-names>
          </name>
          <xref rid="af3-sustainability-09-00199" ref-type="aff">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Weng</surname>
            <given-names>Boqi</given-names>
          </name>
          <xref rid="af4-sustainability-09-00199" ref-type="aff">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Xing</surname>
            <given-names>Kaixiong</given-names>
          </name>
          <xref rid="af5-sustainability-09-00199" ref-type="aff">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Wang</surname>
            <given-names>Xuechao</given-names>
          </name>
          <xref rid="af1-sustainability-09-00199" ref-type="aff">1</xref>
          <xref rid="af2-sustainability-09-00199" ref-type="aff">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Lu</surname>
            <given-names>Nachuan</given-names>
          </name>
          <xref rid="af1-sustainability-09-00199" ref-type="aff">1</xref>
          <xref rid="af2-sustainability-09-00199" ref-type="aff">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ulgiati</surname>
            <given-names>Sergio</given-names>
          </name>
          <xref rid="af6-sustainability-09-00199" ref-type="aff">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Dong</surname>
            <given-names>Xiaobin</given-names>
          </name>
          <xref rid="af1-sustainability-09-00199" ref-type="aff">1</xref>
          <xref rid="af2-sustainability-09-00199" ref-type="aff">2</xref>
          <xref rid="af7-sustainability-09-00199" ref-type="aff">7</xref>
          <xref rid="c1-sustainability-09-00199" ref-type="corresp">*</xref>
        </contrib>
        <contrib contrib-type="editor">
          <name>
            <surname>Torretta</surname>
            <given-names>Vincenzo</given-names>
          </name>
          <role>Academic Editor</role>
        </contrib>
      </contrib-group>
      <aff id="af1-sustainability-09-00199"><label>1</label>State Key Laboratory of Earth Surface Processes and Resource Ecology, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China;Beijing 100875, China; <email>201531190013@mail.bnu.edu.cn</email> (H.W.); <email>fwgcnan@163.com</email> (W.F.); <email>201421190009@mail.bnu.edu.cn</email> (X.W.); <email>201521190007@mail.bnu.edu.cn</email> (N.L.)</aff>
      <aff id="af2-sustainability-09-00199"><label>2</label>College of Resources Science and Technology, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China</aff>
      <aff id="af3-sustainability-09-00199"><label>3</label>Department of Environmental Engineering, Chinese Academy for Environmental Planning, Beijing 100012, China; <email>dingzy@caep.org.cn</email></aff>
      <aff id="af4-sustainability-09-00199"><label>4</label>Fujian Academy of Agricultural Sciences, Fuzhou 350003, China; <email>boqiweng@yahoo.com.cn</email></aff>
      <aff id="af5-sustainability-09-00199"><label>5</label>Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China; <email>xingkaixiong@163.com</email></aff>
      <aff id="af6-sustainability-09-00199"><label>6</label>Department of Science and Technology, Parthenope University of Naples, Centro Direzionale-Isola C4, 80143 Napoli, Italy; <email>sergio.ulgiati@uniparthenope.it</email></aff>
      <aff id="af7-sustainability-09-00199"><label>7</label>Joint Center for Global change and China Green Development, Beijing Normal University, Beijing 100875, China</aff>
      <author-notes>
        <corresp id="c1-sustainability-09-00199"><label>*</label>Correspondence: <email>xbdong@bnu.edu.cn</email>; Tel.: +86-10-5880-7058</corresp>
      </author-notes>
      <pub-date pub-type="epub">
        <day>01</day>
        <month>02</month>
        <year>2017</year>
      </pub-date>
      <pub-date pub-type="collection">        <month>02</month>
        <year>2017</year>
      </pub-date>
      <volume>9</volume>
      <issue>2</issue>
      <elocation-id>199</elocation-id>
      <history>
        <date date-type="received">
          <day>07</day>
          <month>12</month>
          <year>2016</year>
        </date>
        <date date-type="accepted">
          <day>19</day>
          <month>01</month>
          <year>2017</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>&#xA9; 2017 by the authors.</copyright-statement>
        <copyright-year>2017</copyright-year>
        <license license-type="open-access">
          <p>Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (<ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">http://creativecommons.org/licenses/by/4.0/</ext-link>).</p>
        </license>
      </permissions>
      <abstract>
        <p>Accurately identifying the spatiotemporal variations and driving factors of ecosystem services (ES) in ecological restoration is important for ecosystem management and the sustainability of nature conservation strategies. As the Green for Grain project proceeds, food provision, water regulation and climate regulation services in the Northern Shaanxi Loess Plateau (NSLP) are changing and have caused broad attention. In this study, the dynamic pattern of the normalized differential vegetation index (NDVI) and the main drivers of grain production (GP), water yield (WY) and net primary production (NPP) in the NSLP from 2000&#x2013;2013 are identified by incorporating multiple data and methods, in order to provide a better understanding of how and why ES change during ecological restoration. WY was simulated by hydrological modeling, and NPP was estimated with the Carnegie Ames Stanford Approach (CASA) model. The results show that vegetation restoration continued from 2000&#x2013;2013, but fluctuated because of the comprehensive influence of climate and human activity. GP and NPP both exhibited significantly increasing trends, while changes in WY occurred in two stages: decline (2000&#x2013;2006) and growth (2007&#x2013;2013). Spatially, significantly increasing trends in NPP and WY were detected in 52.73% and 24.76% of the region, respectively, in areas that correspond with the Green for Grain project and high precipitation growth. Correlation and partial correlation analyses show that there were different dominant factors (i.e., natural vs. anthropogenic) driving ES change in the NSLP from 2000&#x2013;2013. The change in WY was mainly driven by precipitation, while the improvements in GP and NPP can be attributed to investments in natural capital (i.e., chemical fertilizer, agricultural machinery power and afforestation). We also found that vegetation restoration can produce positive effects on NPP, but negative effects on WY by using response analyses of WY or NPP change to NDVI change, demonstrating that additional research on the role of water in vegetation restoration is needed. Our results provide support for ES management and the sustainable development of ecological restoration in the NSLP.</p>
      </abstract>
      <kwd-group>
        <kwd>vegetation restoration</kwd>
        <kwd>grain production</kwd>
        <kwd>water yield</kwd>
        <kwd>net primary production</kwd>
        <kwd>Loess Plateau</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1-sustainability-09-00199" sec-type="intro">
      <title>1. Introduction</title>
      <p>China has been the world&#x2019;s second largest economy by the pursuit of rapid economic development, but the costs of this success are reflected in high levels of ecological degradation [<xref ref-type="bibr" rid="B1-sustainability-09-00199">1</xref>]. In China, natural disasters (e.g., flood) caused by environmental degradation occur more frequently and have severely impacted sustainable socioeconomic development in recent decades [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>]. The Chinese government has implemented a series of ecological projects for improving the eco-environment. For example, Green for Grain (GFG), launched in 1999, is the largest eco-environmental construction project and important nature conservation program in China. GFG involves the effort to return cultivated land on steep slopes to perennial vegetation and afforest barren hills and wasteland using a government payment scheme, which engages millions of rural households as core agents of project implementation [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>,<xref ref-type="bibr" rid="B3-sustainability-09-00199">3</xref>]. The Northern Shaanxi Loess Plateau (NSLP) is the core region of GFG, and it is also an ecologically-vulnerable area sensitive to climatic change [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B5-sustainability-09-00199">5</xref>]. Vegetation coverage of the NSLP has gradually improved since the implementation of GFG [<xref ref-type="bibr" rid="B6-sustainability-09-00199">6</xref>,<xref ref-type="bibr" rid="B7-sustainability-09-00199">7</xref>,<xref ref-type="bibr" rid="B8-sustainability-09-00199">8</xref>]. This improvement in vegetation cover has realized huge ecological effects, including the potential in sequestrating greenhouse gases [<xref ref-type="bibr" rid="B9-sustainability-09-00199">9</xref>,<xref ref-type="bibr" rid="B10-sustainability-09-00199">10</xref>] or regulating climate, which is a hot issue in the background of climate change. However, because some regions of GFG (e.g., NSLP) belong to the semi-arid area, some research has raised concerns about the problems of food security and water scarcity caused by GFG [<xref ref-type="bibr" rid="B11-sustainability-09-00199">11</xref>,<xref ref-type="bibr" rid="B12-sustainability-09-00199">12</xref>]. Climate regulation, water supply (yield) and food provision are all ecosystem services (ES), which are defined as the benefits people derive from ecosystems [<xref ref-type="bibr" rid="B13-sustainability-09-00199">13</xref>]. As a new round of GFG projects begin, we need to evaluate the benefits and impacts of previous GFG projects, which have been of great significance to the sustainability of GFG. ES certainly will change under ecological restoration, and this fact has received significant attention in recent years [<xref ref-type="bibr" rid="B1-sustainability-09-00199">1</xref>,<xref ref-type="bibr" rid="B14-sustainability-09-00199">14</xref>,<xref ref-type="bibr" rid="B15-sustainability-09-00199">15</xref>,<xref ref-type="bibr" rid="B16-sustainability-09-00199">16</xref>]. ES can build a &#x201C;bridge&#x201D; between ecological systems and human social systems and can be used to evaluate the benefits and impacts of nature conservation strategies [<xref ref-type="bibr" rid="B17-sustainability-09-00199">17</xref>]. In recent years, the Ecosystem Services Partnership, the Intergovernmental Science Policy Platform on Biodiversity and Ecosystem Services (IBPES), ecoSERVICES (a core project of Future Earth investigating the impact of biodiversity change on ecosystem functioning and services, and human well-being) and the Group on Earth Observations Biodiversity Observation Network (GEO-BON) have been established. One objective of these scientific programs is to assess ES comprehensively and promote the management and application of ES [<xref ref-type="bibr" rid="B18-sustainability-09-00199">18</xref>], and this requires knowledge of their dynamic features and driving factors.</p>
      <p>As co-productions of natural and human systems [<xref ref-type="bibr" rid="B19-sustainability-09-00199">19</xref>,<xref ref-type="bibr" rid="B20-sustainability-09-00199">20</xref>], ES are affected by both natural factors (e.g., climatic change) and anthropogenic factors. According to the Millennium Ecosystem Assessment, the impact of climatic change on ES is growing [<xref ref-type="bibr" rid="B13-sustainability-09-00199">13</xref>]. Because it influences ecosystem structure and function, climatic change can significantly alter the capacity of ecosystems to provide services [<xref ref-type="bibr" rid="B21-sustainability-09-00199">21</xref>,<xref ref-type="bibr" rid="B22-sustainability-09-00199">22</xref>], but the relationships between climatic change and various ES can be either positive or negative, and they require careful analysis [<xref ref-type="bibr" rid="B21-sustainability-09-00199">21</xref>,<xref ref-type="bibr" rid="B23-sustainability-09-00199">23</xref>,<xref ref-type="bibr" rid="B24-sustainability-09-00199">24</xref>]. Humans can change ES in direct ways (e.g., land cover change, overexploitation, pollution) and indirect ways (e.g., population growth, economic activity, technical progress) [<xref ref-type="bibr" rid="B25-sustainability-09-00199">25</xref>,<xref ref-type="bibr" rid="B26-sustainability-09-00199">26</xref>]. One of the most direct anthropogenic factors, land cover change, has been an important contributor to changes in ES over the past 50 years [<xref ref-type="bibr" rid="B13-sustainability-09-00199">13</xref>]. Extensive croplands have been converted into woodlands, and natural vegetation has been restored in the NSLP, which has had a dramatic impact on ES. Current research shows that ES significantly changed in the Loess Plateau after GFG [<xref ref-type="bibr" rid="B3-sustainability-09-00199">3</xref>,<xref ref-type="bibr" rid="B27-sustainability-09-00199">27</xref>,<xref ref-type="bibr" rid="B28-sustainability-09-00199">28</xref>]. However, the processes and main drivers of different ES changes during the whole GFG period in the NSLP still need to be further elucidated. Quantitative relationships between vegetation restoration and different ES are not yet fully understood.</p>
      <p>Here, we focus on food provision, water regulation and climate regulation in the NSLP, which are all highly related to the GFG project and interact with each other. By incorporating multi-source data and statistical methods, we investigated the dynamic patterns of vegetation and the main drivers of different ES changes in the NSLP from 2000&#x2013;2013. In particular, we: (i) assessed the processes and the trends in vegetation restoration using the normalized difference vegetation index (NDVI); (ii) assessed the processes and trends in the difference of ES changes and their responses to vegetation restoration; and (iii) quantified the relationships between natural or anthropogenic factors and ES and identified the main drivers of different ES changes.</p>
    </sec>
    <sec id="sec2-sustainability-09-00199">
      <title>2. Study Area</title>
      <p>Located in northern Shaanxi Province, China (35&#xB0;21&#x2032;&#x2013;39&#xB0;34&#x2032; N and 107&#xB0;41&#x2032;&#x2013;110&#xB0;31&#x2032; E) (<xref ref-type="fig" rid="sustainability-09-00199-f001">Figure 1</xref>b), the NSLP covers an area of approximately 8.03 &#xD7; 10<sup>4</sup> km<sup>2</sup> and consists of 25 counties (<xref ref-type="fig" rid="sustainability-09-00199-f001">Figure 1</xref>a) belonging to two prefectures, Yan&#x2019;an and Yulin (<xref ref-type="fig" rid="sustainability-09-00199-f001">Figure 1</xref>c). High in the west and becoming lower in the east, the NSLP is a hilly, gullied area of the Loess Plateau [<xref ref-type="bibr" rid="B29-sustainability-09-00199">29</xref>,<xref ref-type="bibr" rid="B30-sustainability-09-00199">30</xref>]. The Mu Us desert in the northwest of Yulin has a primarily psammophyte vegetation type. Huanglong Mountain and Ziwu Mountain in southern Yan&#x2019;an are the main forest-covered areas in the NSLP, and vegetation coverage there is relatively high. The eastern section of the NSLP is flat, and land use categories there mainly consist of cropland and grassland. Crops are mainly corn, soybeans and wheat, and the grassland is dominated by <italic>Miscanthus</italic> grass and clover [<xref ref-type="bibr" rid="B29-sustainability-09-00199">29</xref>]. This area has a semi-arid continental monsoon climate [<xref ref-type="bibr" rid="B30-sustainability-09-00199">30</xref>] and is characterized by warm and rainy summers and cold and dry winters [<xref ref-type="bibr" rid="B31-sustainability-09-00199">31</xref>].</p>
      <p>From the maps of land use in 2000 (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S1a</xref>) and 2010 (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S1b</xref>), croplands, forestlands and grasslands showed the main land use types in our site. From a 2000&#x2013;2010 land use transition matrix for the NSLP (<xref ref-type="table" rid="sustainability-09-00199-t001">Table 1</xref>), it can be seen that 694 km<sup>2</sup> and 556 km<sup>2</sup> of croplands in 2000 have been replaced by woodlands (including scrublands) and grasslands, respectively, due to the GFG project. Woodland coverage increased by 10.13%, while cropland coverage decreased by 4.19% during the 11-year period. At the same time, the grasslands increased by only 0.13%, because many grasslands were converted into woodlands. Dramatic changes in land use in the NSLP caused a series of ecological effects [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>,<xref ref-type="bibr" rid="B32-sustainability-09-00199">32</xref>,<xref ref-type="bibr" rid="B33-sustainability-09-00199">33</xref>].</p>
    </sec>
    <sec id="sec3-sustainability-09-00199" sec-type="methods">
      <title>3. Methods</title>
      <sec id="sec3dot1-sustainability-09-00199">
        <title>3.1. Vegetation Restoration Quantification</title>
        <p>Vegetation indices are developed for evaluating vegetative covers using spectral measurements in the applications of remote sensing. Over forty vegetation indices have been developed in order to enhance vegetation response and minimize the effects of soil brightness, soil moisture, shadow and environmental effects [<xref ref-type="bibr" rid="B35-sustainability-09-00199">35</xref>]. NDVI is the normalized difference vegetation index and calculated by reflectance in the near-infrared and red wavelengths [<xref ref-type="bibr" rid="B36-sustainability-09-00199">36</xref>,<xref ref-type="bibr" rid="B37-sustainability-09-00199">37</xref>]. The NDVI is sensitive to green leaf area and surface vegetation coverage [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B36-sustainability-09-00199">36</xref>] and has been widely used in ecological research [<xref ref-type="bibr" rid="B37-sustainability-09-00199">37</xref>,<xref ref-type="bibr" rid="B38-sustainability-09-00199">38</xref>,<xref ref-type="bibr" rid="B39-sustainability-09-00199">39</xref>]. A few research works [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B6-sustainability-09-00199">6</xref>,<xref ref-type="bibr" rid="B7-sustainability-09-00199">7</xref>,<xref ref-type="bibr" rid="B8-sustainability-09-00199">8</xref>,<xref ref-type="bibr" rid="B36-sustainability-09-00199">36</xref>,<xref ref-type="bibr" rid="B37-sustainability-09-00199">37</xref>,<xref ref-type="bibr" rid="B38-sustainability-09-00199">38</xref>,<xref ref-type="bibr" rid="B39-sustainability-09-00199">39</xref>] have demonstrated the potential of using NDVI to detect vegetation dynamics. After the GFG project was implemented for more than ten years, the low-yield slope croplands were transformed into grasslands and woodlands, and many barren hills and wastelands turned &#x201C;green". High-resolution images of remote sensing can detect these changes. MODIS (Moderate Resolution Imaging Spectroradiometer) NDVI with a 250-m spatial resolution can be adapted for the higher resolution detection. To eliminate the influence of cloud cover and atmosphere, the annual maximum value of the NDVI was chosen for use in this study by the maximum value composites methods [<xref ref-type="bibr" rid="B40-sustainability-09-00199">40</xref>]. Through that, the continuity of NDVI time series was enhanced, and the temporal-spatial change of vegetation could be identified more accurately.</p>
      </sec>
      <sec id="sec3dot2-sustainability-09-00199">
        <title>3.2. Ecosystem Services Quantification</title>
        <p>According to the Millennium Ecosystem Assessment [<xref ref-type="bibr" rid="B13-sustainability-09-00199">13</xref>], more than twenty kinds of ES were listed and could be classified into provisioning services, regulating services, supporting services and cultural services. We only chose three typical and representative services, including food provision (provisioning service), hydrology regulation (regulating service) and climate regulation (regulating service) according to the availability of data, the feasibility of the method and the importance of ES. The explanation was as follows. Food provision service was directly related to human well-being. Moreover, food provision would be affected because of the reduction of cropland in our site. Hydrology regulation was a significant and key service because our site was located in a semi-arid area. Moreover, the increase of forest area might consume more water because of more intense transpiration. In our site, ecosystems were very sensitive to climate changes [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>], so climate regulation also was an important service. Moreover, in recent years, carbon emission growth caused by human activities was 13.96% per year in this area [<xref ref-type="bibr" rid="B41-sustainability-09-00199">41</xref>], and the government undertook the huge responsibility of carbon emission reduction in our site.</p>
        <sec id="sec3dot2dot1-sustainability-09-00199">
          <title>3.2.1. Grain Production</title>
          <p>Grain production (GP) was selected as a proxy for the capacity of the food provision services. Data on wheat, corn and rice production were obtained at the provincial level from the Bureaus of Statistics [<xref ref-type="bibr" rid="B42-sustainability-09-00199">42</xref>] in our site (Yulin and Yan&#x2019;an).</p>
        </sec>
        <sec id="sec3dot2dot2-sustainability-09-00199">
          <title>3.2.2. Water Yield</title>
          <p>Water yield (WY) was selected as a proxy for hydrology regulation services. In arid and semi-arid areas, water budgets mainly depend on precipitation (PPT) and evapotranspiration (ET) [<xref ref-type="bibr" rid="B43-sustainability-09-00199">43</xref>,<xref ref-type="bibr" rid="B44-sustainability-09-00199">44</xref>]. WY is the result of the balancing of PPT and ET [<xref ref-type="bibr" rid="B29-sustainability-09-00199">29</xref>] and can be calculated as:
          <disp-formula id="FD1-sustainability-09-00199">
            <label>(1)</label>
            <mml:math display="block" id="mm1">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>W</mml:mi>
                  <mml:mi>Y</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mi>P</mml:mi>
                  <mml:mi>P</mml:mi>
                  <mml:mi>T</mml:mi>
                  <mml:mo>&#x2212;</mml:mo>
                  <mml:mi>E</mml:mi>
                  <mml:mi>T</mml:mi>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula></p>
          <p>PPT was derived from the National Climatic Bureau and interpolated with the kriging method [<xref ref-type="bibr" rid="B45-sustainability-09-00199">45</xref>]. ET datasets were obtained from MOD16 ET products and estimated using the improved ET algorithm [<xref ref-type="bibr" rid="B46-sustainability-09-00199">46</xref>].</p>
          <p>The interpolated precipitation data and the ET data (MOD16A3) came from different sources. We reduced the uncertainty through the following ways. The interpolated PPT data were set as the same spatial and temporal resolutions as satellite-derived ET data. The PPT and ET layers had the same coordinated system, and the calculation was processed in ArcGIS software with a stable environment. A few extreme values in the results were removed, and they were replaced by adjacent values.</p>
        </sec>
        <sec id="sec3dot2dot3-sustainability-09-00199">
          <title>3.2.3. Net Primary Production </title>
          <p>Net primary production (NPP) is the key driver of the terrestrial carbon cycling, balancing CO<sub>2</sub> and O<sub>2</sub> and regulating global temperature [<xref ref-type="bibr" rid="B33-sustainability-09-00199">33</xref>]. Feng et al. [<xref ref-type="bibr" rid="B3-sustainability-09-00199">3</xref>] have found that the increase of carbon sequestration was mainly contributed by enhanced NPP on the Loess Plateau during the period of GFG implementation. The increment of NPP would enhance climate regulation services [<xref ref-type="bibr" rid="B47-sustainability-09-00199">47</xref>] in the NSLP, which is sensitive to climate changes. In this research, NPP was selected as a proxy for climate regulation services. The Carnegie Ames Stanford Approach (CASA) was employed to estimate per-pixel NPP at monthly intervals. CASA is a typical model of light use efficiency [<xref ref-type="bibr" rid="B48-sustainability-09-00199">48</xref>], and it needs relatively few parameters. Moreover, some parameters do not require actual measurement and can be obtained from remote sensing data. The total formula estimating NPP with CASA can be represented as [<xref ref-type="bibr" rid="B49-sustainability-09-00199">49</xref>]:
          <disp-formula id="FD2-sustainability-09-00199">
            <label>(2)</label>
            <mml:math display="block" id="mm2">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>N</mml:mi>
                  <mml:mi>P</mml:mi>
                  <mml:mi>P</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mi>S</mml:mi>
                  <mml:mi>O</mml:mi>
                  <mml:mi>L</mml:mi>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:mi>F</mml:mi>
                  <mml:mi>P</mml:mi>
                  <mml:mi>A</mml:mi>
                  <mml:mi>R</mml:mi>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:msub>
                    <mml:mi>E</mml:mi>
                    <mml:mrow>
                      <mml:mi>max</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:msub>
                    <mml:mi>T</mml:mi>
                    <mml:mi>a</mml:mi>
                  </mml:msub>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:msub>
                    <mml:mi>T</mml:mi>
                    <mml:mi>b</mml:mi>
                  </mml:msub>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:mi>W</mml:mi>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:mn>0.5</mml:mn>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
          where <italic>SOL</italic> is the total solar radiation (MJ/m<sup>2</sup>), which can be calculated from Equations (4) and (5); <italic>FPAR</italic> is the fraction of photosynthetically-active radiation (PAR) absorbed by the vegetation canopy, calculated following Potter et al. [<xref ref-type="bibr" rid="B48-sustainability-09-00199">48</xref>]; <italic>E</italic><sub>max</sub>  is the maximum light use efficiency of main vegetation types, which in this study was set mainly according to the simulation results of Zhu et al. [<xref ref-type="bibr" rid="B50-sustainability-09-00199">50</xref>] in China as follows: 0.389 g C/MJ for evergreen needle-leaf forest, 0.692 g C/MJ for deciduous broadleaf forest, 0.475 g C/MJ for mixed forest and closed shrubland, 0.485 g C/MJ for deciduous needle-leaf forest, 0.429 g C/MJ for open shrubland, 0.542 g C/MJ for grassland and cropland and 0.389 g C/MJ for others [<xref ref-type="bibr" rid="B49-sustainability-09-00199">49</xref>]; <italic>T<sub>a</sub></italic> and <italic>T<sub>b</sub></italic> reflect temperature (T) stress on plant photosynthesis, calculated following Potter et al. [<xref ref-type="bibr" rid="B48-sustainability-09-00199">48</xref>]; <italic>W</italic> reflects moisture stress on plant photosynthesis, calculated following Xiao et al. [<xref ref-type="bibr" rid="B51-sustainability-09-00199">51</xref>]; and the coefficient 0.5 indicates that fraction of solar radiation falling in the PAR waveband (0.4&#x2013;0.7 &#x3BC;m) [<xref ref-type="bibr" rid="B52-sustainability-09-00199">52</xref>].</p>
          <p>Solar radiation can be calculated with the Angstrom formula that relates solar radiation to extraterrestrial radiation and sunshine percentage [<xref ref-type="bibr" rid="B53-sustainability-09-00199">53</xref>]. The local intensity of extraterrestrial radiation is determined by the angle between the direction of the Sun&#x2019;s rays and the normal to the surface of the atmosphere [<xref ref-type="bibr" rid="B53-sustainability-09-00199">53</xref>]. The key equations for the solar radiation calculation are as follows:
          <disp-formula id="FD3-sustainability-09-00199">
            <label>(3)</label>
            <mml:math display="block" id="mm3">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>E</mml:mi>
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                  <mml:mi>L</mml:mi>
                  <mml:mo>=</mml:mo>
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                    <mml:mrow>
                      <mml:mn>24</mml:mn>
                      <mml:mo stretchy="false">(</mml:mo>
                      <mml:mn>60</mml:mn>
                      <mml:mo stretchy="false">)</mml:mo>
                    </mml:mrow>
                    <mml:mi>&#x3C0;</mml:mi>
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                  <mml:msub>
                    <mml:mi>S</mml:mi>
                    <mml:mi>c</mml:mi>
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                  <mml:msub>
                    <mml:mi>d</mml:mi>
                    <mml:mi>r</mml:mi>
                  </mml:msub>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>w</mml:mi>
                        <mml:mi>s</mml:mi>
                      </mml:msub>
                      <mml:mi>s</mml:mi>
                      <mml:mi>i</mml:mi>
                      <mml:mi>n</mml:mi>
                      <mml:mi>&#x3B1;</mml:mi>
                      <mml:mi>s</mml:mi>
                      <mml:mi>i</mml:mi>
                      <mml:mi>n</mml:mi>
                      <mml:mi>&#x3B2;</mml:mi>
                      <mml:mo>+</mml:mo>
                      <mml:mi>c</mml:mi>
                      <mml:mi>o</mml:mi>
                      <mml:mi>s</mml:mi>
                      <mml:mi>&#x3B1;</mml:mi>
                      <mml:mi>c</mml:mi>
                      <mml:mi>o</mml:mi>
                      <mml:mi>s</mml:mi>
                      <mml:mi>&#x3B2;</mml:mi>
                      <mml:mi>s</mml:mi>
                      <mml:mi>i</mml:mi>
                      <mml:mi>n</mml:mi>
                      <mml:msub>
                        <mml:mi>w</mml:mi>
                        <mml:mi>s</mml:mi>
                      </mml:msub>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
          <disp-formula id="FD4-sustainability-09-00199">
            <label>(4)</label>
            <mml:math display="block" id="mm4">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>S</mml:mi>
                  <mml:mi>O</mml:mi>
                  <mml:mi>L</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mi>E</mml:mi>
                  <mml:mi>S</mml:mi>
                  <mml:mi>O</mml:mi>
                  <mml:mi>L</mml:mi>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:msub>
                        <mml:mi>a</mml:mi>
                        <mml:mi>s</mml:mi>
                      </mml:msub>
                      <mml:mo>+</mml:mo>
                      <mml:msub>
                        <mml:mi>b</mml:mi>
                        <mml:mi>s</mml:mi>
                      </mml:msub>
                      <mml:mfrac>
                        <mml:mi>n</mml:mi>
                        <mml:mi>N</mml:mi>
                      </mml:mfrac>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
          where <italic>ESOL</italic> is the extraterrestrial radiation (MJ/m<sup>2</sup>); <italic>S<sub>c</sub></italic> is the solar constant (1360 W/m<sup>2</sup> or 49.20 MJ/m<sup>2</sup>&#xB7;h<sup>2</sup>); <italic>d<sub>r</sub></italic>, <italic>w<sub>s</sub></italic> and <italic>&#x3B2;</italic> are the inverse relative Earth-Sun distance, sunset hour angle and solar decimation, respectively, calculated following Allen et al. [<xref ref-type="bibr" rid="B53-sustainability-09-00199">53</xref>]; <italic>&#x3B1;</italic> is the latitude of the meteorological stations (rad); <italic>a<sub>s</sub></italic> and <italic>b<sub>s</sub></italic> are regression constants and variable in different latitudes, which were set according to the simulation results of Wen [<xref ref-type="bibr" rid="B54-sustainability-09-00199">54</xref>] in north China as follows: 0.344 for <italic>a<sub>s</sub></italic> and 0.390 for <italic>b<sub>s</sub></italic>; <italic>n</italic> is the actual duration of sunshine; <italic>N</italic> is daylight hours; and <italic>n/N</italic> is the relative sunshine duration.</p>
        </sec>
      </sec>
      <sec id="sec3dot3-sustainability-09-00199">
        <title>3.3. Change Trends and Response Relationships Analysis</title>
        <sec id="sec3dot3dot1-sustainability-09-00199">
          <title>3.3.1 Change Trends</title>
          <p>Linear regression analysis was used to simulate NDVI/WY/NPP change trends at the pixel level or over the whole regional level [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B55-sustainability-09-00199">55</xref>,<xref ref-type="bibr" rid="B56-sustainability-09-00199">56</xref>]. The equation is as follows:
          <disp-formula id="FD5-sustainability-09-00199">
            <label>(5)</label>
            <mml:math display="block" id="mm5">
              <mml:semantics>
                <mml:mrow>
                  <mml:mi>S</mml:mi>
                  <mml:mi>l</mml:mi>
                  <mml:mi>o</mml:mi>
                  <mml:mi>p</mml:mi>
                  <mml:mi>e</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mrow>
                    <mml:mrow>
                      <mml:mo stretchy="false">(</mml:mo>
                      <mml:mstyle displaystyle="true">
                        <mml:munderover>
                          <mml:mo>&#x2211;</mml:mo>
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                          </mml:mrow>
                          <mml:mi>n</mml:mi>
                        </mml:munderover>
                        <mml:mrow>
                          <mml:mi>t</mml:mi>
                          <mml:mo>&#xD7;</mml:mo>
                          <mml:mi>P</mml:mi>
                          <mml:msub>
                            <mml:mi>A</mml:mi>
                            <mml:mi>t</mml:mi>
                          </mml:msub>
                          <mml:mo>&#x2212;</mml:mo>
                          <mml:mfrac>
                            <mml:mn>1</mml:mn>
                            <mml:mi>n</mml:mi>
                          </mml:mfrac>
                          <mml:mo>&#xD7;</mml:mo>
                          <mml:mo stretchy="false">(</mml:mo>
                          <mml:mstyle displaystyle="true">
                            <mml:munderover>
                              <mml:mo>&#x2211;</mml:mo>
                              <mml:mrow>
                                <mml:mi>t</mml:mi>
                                <mml:mo>=</mml:mo>
                                <mml:mn>1</mml:mn>
                              </mml:mrow>
                              <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:mi>t</mml:mi>
                          </mml:mstyle>
                          <mml:mo stretchy="false">)</mml:mo>
                          <mml:mo>&#xD7;</mml:mo>
                          <mml:mo stretchy="false">(</mml:mo>
                          <mml:mstyle displaystyle="true">
                            <mml:munderover>
                              <mml:mo>&#x2211;</mml:mo>
                              <mml:mrow>
                                <mml:mi>t</mml:mi>
                                <mml:mo>=</mml:mo>
                                <mml:mn>1</mml:mn>
                              </mml:mrow>
                              <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:mrow>
                              <mml:mi>P</mml:mi>
                              <mml:msub>
                                <mml:mi>A</mml:mi>
                                <mml:mi>t</mml:mi>
                              </mml:msub>
                            </mml:mrow>
                          </mml:mstyle>
                          <mml:mo stretchy="false">)</mml:mo>
                          <mml:mo stretchy="false">)</mml:mo>
                        </mml:mrow>
                      </mml:mstyle>
                    </mml:mrow>
                    <mml:mo stretchy="true">/</mml:mo>
                    <mml:mrow>
                      <mml:mo stretchy="false">(</mml:mo>
                      <mml:mstyle displaystyle="true">
                        <mml:munderover>
                          <mml:mo>&#x2211;</mml:mo>
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                          </mml:mrow>
                          <mml:mi>n</mml:mi>
                        </mml:munderover>
                        <mml:mrow>
                          <mml:msup>
                            <mml:mi>t</mml:mi>
                            <mml:mn>2</mml:mn>
                          </mml:msup>
                        </mml:mrow>
                      </mml:mstyle>
                    </mml:mrow>
                  </mml:mrow>
                  <mml:mo>&#x2212;</mml:mo>
                  <mml:mfrac>
                    <mml:mn>1</mml:mn>
                    <mml:mi>n</mml:mi>
                  </mml:mfrac>
                  <mml:mo>&#xD7;</mml:mo>
                  <mml:msup>
                    <mml:mrow>
                      <mml:mo stretchy="false">(</mml:mo>
                      <mml:mstyle displaystyle="true">
                        <mml:munderover>
                          <mml:mo>&#x2211;</mml:mo>
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                          </mml:mrow>
                          <mml:mi>n</mml:mi>
                        </mml:munderover>
                        <mml:mi>t</mml:mi>
                      </mml:mstyle>
                      <mml:mo stretchy="false">)</mml:mo>
                    </mml:mrow>
                    <mml:mn>2</mml:mn>
                  </mml:msup>
                  <mml:mo stretchy="false">)</mml:mo>
                </mml:mrow>
              </mml:semantics>
            </mml:math>
          </disp-formula>
          where a positive or negative <italic>Slope</italic> indicates an increasing or decreasing trend for <italic>NDVI/WY/NPP</italic>; <italic>n</italic> is the number of years; and <italic>PA<sub>t</sub></italic> is the corresponding <italic>NDVI/WY/NPP</italic> value. The F-test method was used to analyze the statistical significance of the NDVI/WY/NPP change.</p>
        </sec>
        <sec id="sec3dot3dot2-sustainability-09-00199">
          <title>3.3.2. Response Relationships</title>
          <p>The linear regression analysis was also used to explore the response relationships of ES change to vegetation restoration at the pixel scale. This paper is mainly focused on the response of regulating services to vegetation restoration, which has not been fully understood in current research [<xref ref-type="bibr" rid="B25-sustainability-09-00199">25</xref>,<xref ref-type="bibr" rid="B26-sustainability-09-00199">26</xref>,<xref ref-type="bibr" rid="B27-sustainability-09-00199">27</xref>,<xref ref-type="bibr" rid="B28-sustainability-09-00199">28</xref>,<xref ref-type="bibr" rid="B57-sustainability-09-00199">57</xref>]. The responses of WY change and NPP change to NDVI change at the pixel level were calculated using linear regression analysis. An increased or decreased result indicates a positive or negative response.</p>
        </sec>
      </sec>
      <sec id="sec3dot4-sustainability-09-00199">
        <title>3.4. Correlation and Partial Correlation Analysis</title>
        <p>Correlation and partial correlation analysis were used to analyze the relationships between ES and different driving factors. Both natural and anthropogenic factors have an important impact on ES [<xref ref-type="bibr" rid="B13-sustainability-09-00199">13</xref>]. In this paper, the climate fluctuations were chosen to be the main natural driving factors. The anthropogenic driving factors in our site were different for provisioning service (GP) and regulating services (WY and NPP). Temperature (T), precipitation (PPT), agricultural machinery power consumption, chemical fertilizer consumption and labor force input were chosen to be the driving factors of GP change, which was based on the study of Zhang et al. [<xref ref-type="bibr" rid="B58-sustainability-09-00199">58</xref>]. T, PPT and cumulative afforested area were chosen to be the driving factors of WY and NPP change, which agreed with the research of Xie et al. [<xref ref-type="bibr" rid="B59-sustainability-09-00199">59</xref>]. The cumulative afforested area could be understood as an indicator of GFG policy.</p>
        <p>Partial correlation analysis is used when the two variables are related to the other variables at the same time; it will exclude the impact of the other variables and only analyze the correlation of the two variables [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B60-sustainability-09-00199">60</xref>]. For example, if there are three variables, the equation is as follows:
        <disp-formula id="FD6-sustainability-09-00199">
          <label>(6)</label>
          <mml:math display="block" id="mm6">
            <mml:semantics>
              <mml:mrow>
                <mml:msub>
                  <mml:mi>R</mml:mi>
                  <mml:mrow>
                    <mml:mi>x</mml:mi>
                    <mml:mi>y</mml:mi>
                    <mml:mo>-</mml:mo>
                    <mml:mi>z</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>=</mml:mo>
                <mml:mo stretchy="false">(</mml:mo>
                <mml:msub>
                  <mml:mi>R</mml:mi>
                  <mml:mrow>
                    <mml:mi>x</mml:mi>
                    <mml:mi>y</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>&#x2212;</mml:mo>
                <mml:msub>
                  <mml:mi>R</mml:mi>
                  <mml:mrow>
                    <mml:mi>x</mml:mi>
                    <mml:mi>z</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:msub>
                  <mml:mi>R</mml:mi>
                  <mml:mrow>
                    <mml:mi>y</mml:mi>
                    <mml:mi>z</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo stretchy="false">)</mml:mo>
                <mml:mo>/</mml:mo>
                <mml:msqrt>
                  <mml:mrow>
                    <mml:mo stretchy="false">(</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:msubsup>
                      <mml:mi>R</mml:mi>
                      <mml:mrow>
                        <mml:mi>x</mml:mi>
                        <mml:mi>z</mml:mi>
                      </mml:mrow>
                      <mml:mn>2</mml:mn>
                    </mml:msubsup>
                    <mml:mo stretchy="false">)</mml:mo>
                    <mml:mo stretchy="false">(</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>&#x2212;</mml:mo>
                    <mml:msubsup>
                      <mml:mi>R</mml:mi>
                      <mml:mrow>
                        <mml:mi>y</mml:mi>
                        <mml:mi>z</mml:mi>
                      </mml:mrow>
                      <mml:mn>2</mml:mn>
                    </mml:msubsup>
                    <mml:mo stretchy="false">)</mml:mo>
                  </mml:mrow>
                </mml:msqrt>
              </mml:mrow>
            </mml:semantics>
          </mml:math>
        </disp-formula>
        where <italic>R<sub>xy-z</sub></italic> is the partial correlation coefficient between <italic>x</italic> and <italic>y</italic> excluding the impact of <italic>z</italic>; <italic>R<sub>xy</sub> </italic>is the correlation coefficient between <italic>x</italic> and <italic>y</italic>; <italic>R<sub>xz</sub> </italic>is the correlation coefficient between <italic>x</italic> and <italic>z</italic>; <italic>R<sub>yz</sub></italic> is the correlation coefficient between <italic>y</italic> and <italic>z</italic>. The calculation of the correlation coefficient <italic>R<sub>xy</sub></italic> (or <italic>R<sub>xz</sub></italic> or <italic>R<sub>xz</sub></italic>) is detailed in Xu [<xref ref-type="bibr" rid="B60-sustainability-09-00199">60</xref>].</p>
      </sec>
      <sec id="sec3dot5-sustainability-09-00199">
        <title>3.5. Data Preparation</title>
        <p>Meteorological data from 32 weather stations (<xref ref-type="app" rid="app1-sustainability-09-00199">Table S1</xref>) within and near the NSLP were collected from the National Climatic Bureau [<xref ref-type="bibr" rid="B61-sustainability-09-00199">61</xref>], including monthly T, monthly PPT and sunshine duration during the study period.</p>
        <p>The tile numbers of the remote sensing data in the NSLP were h26v05 and h27v05. A series of Moderate Resolution Imaging Spectroradiometer (MODIS) data for the CASA model during the 14-year period was derived from the MODIS on NASA&#x2019;s Terra satellite [<xref ref-type="bibr" rid="B62-sustainability-09-00199">62</xref>], including surface albedo (MOD09A1), vegetation index (MOD13A2) and land cover type (MCD12Q1). The annual ET product (MOD16A3) was used to estimate WY, and the annual NPP product (MOD17A3) was used for comparison with the simulated NPP results of the CASA model. MOD16A3 and MOD17A3 were derived from the Numerical Terradynamic Simulation Group [<xref ref-type="bibr" rid="B63-sustainability-09-00199">63</xref>].</p>
        <p>Data on agricultural machinery power consumption, chemical fertilizer consumption, labor force input in GP and cumulative afforested area during the 14-year period were obtained from provincial-level Bureaus of Statistics [<xref ref-type="bibr" rid="B42-sustainability-09-00199">42</xref>] in the NSLP and used for quantifying the relationships between ES and different driving factors.</p>
		</sec>
      </sec>
	<sec id="sec4-sustainability-09-00199">
        <title>4. Results</title>
      <sec id="sec4dot1-sustainability-09-00199">
        <title>4.1. Climate Change Background</title>
        <p>According to the original meteorological station data within our site, the area exhibited a warming and drying trend during the period from 1955&#x2013;2013. We divided the complete interval into two periods, 1955&#x2013;1999 and 2000&#x2013;2013. From 1955&#x2013;1999, we found that the annual mean T was 8.97 &#xB0;C with an increase of 0.019 &#xB0;C/year, and the annual mean PPT was 469.84 mm with a decrease of 2.61 mm/year (<xref ref-type="fig" rid="sustainability-09-00199-f002">Figure 2</xref>). From 2000&#x2013;2013, the annual mean T was 9.78 &#xB0;C with a decrease of 0.024 &#xB0;C/year, and the annual mean PPT was 433.48 mm with an increase of 8.46 mm/year (<xref ref-type="fig" rid="sustainability-09-00199-f002">Figure 2</xref>). The annual mean T was higher and PPT lower from 2000&#x2013;2013, while the changes of T and PPT were opposite to those of 1955&#x2013;1999. At the pixel level, T and PPT both had higher values in the south than the north (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S2</xref>). In the last 14-year period, the T of 59.32% of the area was decreasing, while the PPT of the whole area was increasing (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S2</xref>). The global surface T was increasing over the past few decades, while the situation seemed to be different in our site. GFG policy might play a part of the role, because the most T decreasing regions were distributed in the GFG regions (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S2</xref>).</p>
      </sec>
      <sec id="sec4dot2-sustainability-09-00199">
        <title>4.2. Vegetation Change</title>
        <p>From 2000&#x2013;2013, the NDVI exhibited a significantly increasing trend of 0.01/year (R<sup>2</sup> = 0.858, <italic>p</italic> &lt; 0.05), and thus, it improved 33.02% from 2000&#x2013;2013 (<xref ref-type="fig" rid="sustainability-09-00199-f003">Figure 3</xref>). From 2000&#x2013;2002, the NDVI was in a period of rapid growth with an increase of 0.02/year, because the scale of GFG was larger in the early days of the project [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>]. From 2003&#x2013;2007, the NDVI was in a fluctuating period and kept decreasing from 2005&#x2013;2007. Some vegetation (e.g., <italic>Hippophae rhamnoides</italic> L.) was planted, but it was not suitable for the semi-arid climate in the NSLP and needed more water when growing [<xref ref-type="bibr" rid="B64-sustainability-09-00199">64</xref>]. When PPT was low, these plants started to wither. More suitable vegetation was subsequently planted (e.g., <italic>Pinus sylvestris</italic>), and the NDVI started increasing from 2008.</p>
        <p>In spatial terms, the NDVI in 85.62% of the area showed an increase (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>b), and the NDVI in 52.96% of the area showed a significantly increasing trend (<italic>p</italic> &lt; 0.05) (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>c). Those areas were in the mid-eastern NSLP, which originally had low vegetation coverage (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>a) and was therefore heavily involved in the GFG program from 2000&#x2013;2013. At the same time, the NDVI in 14.38% of the area showed a slight decrease (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>b), and these decreases were mostly not significant. The decreased areas were located in the southern NSLP (i.e., Ziwu Mountain and Huanglong Mountain) with high forest coverage. Some other researchers have found similar results either on larger scales [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>,<xref ref-type="bibr" rid="B6-sustainability-09-00199">6</xref>] or at the same scale [<xref ref-type="bibr" rid="B64-sustainability-09-00199">64</xref>,<xref ref-type="bibr" rid="B65-sustainability-09-00199">65</xref>].</p>
      </sec>
      <sec id="sec4dot3-sustainability-09-00199">
        <title>4.3. ES Change</title>
        <sec id="sec4dot3dot1-sustainability-09-00199">
          <title>4.3.1. GP Change</title>
          <p>During 2000&#x2013;2013, GP increased by 1.63-times and showed a significantly increasing trend of 24.87 t/km<sup>2</sup>&#xB7;year (R<sup>2</sup> = 0.824, <italic>p</italic> &lt; 0.01) (<xref ref-type="fig" rid="sustainability-09-00199-f005">Figure 5</xref>a). The croplands area decreased because of the GFG program, so the gross productivity increased only 1.3-times and showed a growth of 16.84 &#xD7; 10<sup>4</sup> t/year (<xref ref-type="fig" rid="sustainability-09-00199-f005">Figure 5</xref>a). In 2005 and 2006, GP decreased (<xref ref-type="fig" rid="sustainability-09-00199-f005">Figure 5</xref>a) because of drought stress (<xref ref-type="fig" rid="sustainability-09-00199-f002">Figure 2</xref>b). A significant improvement in GP and gross productivity also was detected by other researchers [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>,<xref ref-type="bibr" rid="B66-sustainability-09-00199">66</xref>,<xref ref-type="bibr" rid="B67-sustainability-09-00199">67</xref>].</p>
        </sec>
        <sec id="sec4dot3dot2-sustainability-09-00199">
          <title>4.3.2. WY Change</title>
          <p>Total WY changed substantially during the 14-year period, ranging from 1723.61 m<sup>3</sup>/year in 2004 to 20,896.08 m<sup>3</sup>/year in 2013. The changes in WY can be divided into two stages: decline (2000&#x2013;2006) and growth (2007&#x2013;2013) (<xref ref-type="fig" rid="sustainability-09-00199-f005">Figure 5</xref>b). Overall, WY in our site showed only a slight increase from 2000&#x2013;2013, which was consistent with the PPT (<xref ref-type="fig" rid="sustainability-09-00199-f002">Figure 2</xref>b). Other research [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>] showed WY decreased after GFG in the whole Loess Plateau from 2000&#x2013;2008. The results in this study show that WY decreased 24.81 mm during the same period.</p>
          <p>Substantial regional variation in WY was detected under the influence of climate and vegetation coverage (<xref ref-type="fig" rid="sustainability-09-00199-f006">Figure 6</xref>a). From the spatial change patterns, we see that 90% of the area experienced an increase in WY (<xref ref-type="fig" rid="sustainability-09-00199-f006">Figure 6</xref>b). A decrease in WY was identified in the northwest NSLP, including Dingbian County, Jingbian County and Wuqi County. The annual growth rate of PPT was low in those areas. The change in 75.24% of the area was not significant, and 24.76% of the area experienced significant growth (<italic>p</italic> &lt; 0.05), as seen in northern Yulin, including Shenmu County and Fugu County (<xref ref-type="fig" rid="sustainability-09-00199-f006">Figure 6</xref>c), where there was a high annual growth rate of PPT (&gt;8 mm/year) (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S2</xref>).</p>
        </sec>
        <sec id="sec4dot3dot3-sustainability-09-00199">
          <title>4.3.3. NPP Change</title>
          <p>NPP in our site ranged from 17.24 Tg (10<sup>12</sup> g) C/year (214.72 g C/m<sup>2</sup>&#xB7;year) in 2000 to 25.30 Tg C/year (315.09 g C/m<sup>2</sup>&#xB7;year) in 2012. The changes in NPP can be divided into three stages: significant growth (2000&#x2013;2002), decline (2003&#x2013;2007) and fluctuation (2008&#x2013;2013) (<xref ref-type="fig" rid="sustainability-09-00199-f005">Figure 5</xref>c). The decline in NPP may be attributed to the death of vegetation, as we have previously described [<xref ref-type="bibr" rid="B64-sustainability-09-00199">64</xref>]. Overall, NPP in our site showed a significant increasing trend during the 14-year period (R<sup>2</sup> = 0.542, <italic>p</italic> &lt; 0.01), which indicated that NPP in local ecosystems had improved.</p>
          <p>NPP showed a similar spatial pattern to the NDVI (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>a,b and <xref ref-type="fig" rid="sustainability-09-00199-f006">Figure 6</xref>d,e). An increase was observed in 88.79% of the area, principally the mid-eastern NSLP that had undergone ecological restoration through the GFG program. NPP in Ziwu Mountain and Huanglong Mountain areas had a decrease, and this may be attributed to environmental factors and natural succession [<xref ref-type="bibr" rid="B68-sustainability-09-00199">68</xref>]. The higher significance level indicates a more credible NPP variation trend. The increasing NPP trend was significant in 52.73% of the area, while the decreasing NPP was generally not significant (<xref ref-type="fig" rid="sustainability-09-00199-f006">Figure 6</xref>f).</p>
        </sec>
      </sec>
      <sec id="sec4dot4-sustainability-09-00199">
        <title>4.4. Response of ES Change to Vegetation Change</title>
        <p>Response of regulating services to vegetation change is an important topic with the GFG project proceeding, but it has not been fully understood in current research [<xref ref-type="bibr" rid="B25-sustainability-09-00199">25</xref>,<xref ref-type="bibr" rid="B26-sustainability-09-00199">26</xref>,<xref ref-type="bibr" rid="B27-sustainability-09-00199">27</xref>,<xref ref-type="bibr" rid="B28-sustainability-09-00199">28</xref>,<xref ref-type="bibr" rid="B57-sustainability-09-00199">57</xref>]. At the pixel scale in our site, response relationships between regulating services (WY and NPP) and NDVI were analyzed and identified for the period from 2000&#x2013;2013 (<xref ref-type="fig" rid="sustainability-09-00199-f007">Figure 7</xref>). The response of WY change to NDVI change was negative (<xref ref-type="fig" rid="sustainability-09-00199-f007">Figure 7</xref>a) (R<sup>2</sup> = 0.012, R = &#x2212;0.111, <italic>p</italic> &lt; 0.01), which showed a negative relationship between WY and vegetation restoration. Vegetation restoration may have increased evapotranspiration (ET) and reduced regional WY, as has been found by other researchers [<xref ref-type="bibr" rid="B12-sustainability-09-00199">12</xref>,<xref ref-type="bibr" rid="B69-sustainability-09-00199">69</xref>,<xref ref-type="bibr" rid="B70-sustainability-09-00199">70</xref>]. The response of NPP change to NDVI change was positive (<xref ref-type="fig" rid="sustainability-09-00199-f007">Figure 7</xref>b), which showed a positive relationship between NPP and vegetation restoration and that was consistent with previous research [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>,<xref ref-type="bibr" rid="B59-sustainability-09-00199">59</xref>,<xref ref-type="bibr" rid="B68-sustainability-09-00199">68</xref>]. Moreover, <xref ref-type="fig" rid="sustainability-09-00199-f007">Figure 7</xref> showed that the response levels of regulating services to vegetation change were NPP &gt; WY.</p>
      </sec>
      <sec id="sec4dot5-sustainability-09-00199">
        <title>4.5. Relationships between ES and Different Driving Factors</title>
        <p>From the results of correlation coefficients and partial correlation coefficients, both chemical fertilizer and agricultural machinery power were significant positive with GP from 2000&#x2013;2013 in our site (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>). The GP correlation level of chemical fertilizer was higher than that of agricultural machinery power. The correlation between natural factors (T and PPT) and GP both were not significant (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>). A negative correlation was identified between labor force and GP from 2000&#x2013;2013. During the study period, the labor force input in GP kept decreasing. However, other investments in GP including chemical fertilizer and agricultural machinery power were increasing, so the GP still kept increasing in our site. We divided the whole period into two stages: a GFG-extensive period (2000&#x2013;2006) and a GFG-weakened period (2007&#x2013;2013). It seemed that the correlation between different factors (natural or anthropogenic factors) and GP was stronger in the GFG-weakened period than in the GFG-extensive period (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>).</p>
        <p>Over the whole regional scale, neither T nor cumulative afforested area were significantly correlated with WY from 2000&#x2013;2013, but a significant positive correlation was identified between WY and PPT (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>). The strong response of WY change to PPT change at the pixel scale also showed that WY was significantly correlated with PPT (<xref ref-type="fig" rid="sustainability-09-00199-f008">Figure 8</xref>a). The correlation between natural factors and WY was stronger in the GFG-weakened period than in the GFG-extensive period (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>). Through the correlation coefficients between WY and cumulative afforested area in different periods, it seemed that we could not judge that WY was increased or decreased with the increasing of cumulative afforested area. However, the partial coefficients in different periods were consistent and indicated that WY was decreased with the increasing of cumulative afforested area.</p>
        <p>Over the whole regional scale, neither T nor PPT were significantly correlated with NPP (<xref ref-type="table" rid="sustainability-09-00199-t004">Table 4</xref>). NPP was decreased with the increasing in T, and the response of NPP change to T change at the pixel scale could indicate that (<xref ref-type="fig" rid="sustainability-09-00199-f008">Figure 8</xref>b). The NSLP is a semi-arid area, so higher T would intensify soil evaporation and restrain plant photosynthesis [<xref ref-type="bibr" rid="B4-sustainability-09-00199">4</xref>]. The response of NPP change to T change at the pixel scale indicated that NPP was increased with the increasing in PPT (<xref ref-type="fig" rid="sustainability-09-00199-f008">Figure 8</xref>c). Vegetation growth was restrained by moisture in the NSLP, so higher PPT enhanced plant activity and vegetation growth. During the 14-year period, the correlation between NPP and cumulative afforested area was significant and positive (<xref ref-type="table" rid="sustainability-09-00199-t004">Table 4</xref>). A stronger correlation was identified between NPP and cumulative afforested area during the GFG-extensive period than the GFG-weakened period (<xref ref-type="table" rid="sustainability-09-00199-t004">Table 4</xref>).</p>
      </sec>
    </sec>
    <sec id="sec5-sustainability-09-00199" sec-type="discussion">
      <title>5. Discussion</title>
      <sec id="sec5dot1-sustainability-09-00199">
        <title>5.1. Credibility of the Results</title>
        <p>NPP and ET are crucial to the process of assessing ES change. NPP was estimated by the CASA model using multi-source data. ET was derived from the MODIS product with strong variability and it was a key and uncertain parameter in simulating WY. NPP and ET are affected by vegetation physiological factors and complex environment factors, so it is necessary to evaluate the credibility of the NPP and ET values.</p>
        <p>The several simulated NPP values in the Loess Plateau have differences, and the main factors responsible include the simulation method, the study period and the scope of the Loess Plateau (<xref ref-type="table" rid="sustainability-09-00199-t005">Table 5</xref>) [<xref ref-type="bibr" rid="B71-sustainability-09-00199">71</xref>]. With respect to the scope of the Loess Plateau, annual NPP values simulated by Biome-BGC (Biogeochemical Cycles) were 10.08% lower for our site than for the whole area of the Loess Plateau. The simulated NPP value from the CASA model was lower by 11.69%&#x2013;12.26% for our site than for the whole area of the Loess Plateau. This comparison showed that the CASA model used for our site performed well. Overall, the NPP values simulated by Biome-BGC were lower than the CASA values, partly because CASA simulates NPP at monthly intervals, and its estimates of the fraction of photosynthetic active radiation may therefore be larger [<xref ref-type="bibr" rid="B59-sustainability-09-00199">59</xref>].</p>
        <p>The average NPP estimated by the CASA model (272 g C/m<sup>2</sup>&#xB7;year) was higher than the MOD17-NPP (214 g C/m<sup>2</sup>&#xB7;year) (<xref ref-type="table" rid="sustainability-09-00199-t005">Table 5</xref>). In the 25 counties of our site, simulated NPP values ranged from 141 g C/m<sup>2</sup>&#xB7;year&#x2013;695 g C/m<sup>2</sup>&#xB7;year, and MOD17-NPP values ranged from 148 g C/m<sup>2</sup>&#xB7;year&#x2013;357 g C/m<sup>2</sup>&#xB7;year. The correlation between simulated NPP and MOD17-NPP is significant in all 25 counties (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S3a</xref>). However, the simulated NPP was much higher than the MOD17-NPP in Fu County, Yichuan County, and especially in Huanglong County and Huangling County (<xref ref-type="fig" rid="sustainability-09-00199-f009">Figure 9</xref> and <xref ref-type="app" rid="app1-sustainability-09-00199">Figure S3</xref>). The above four counties are primarily located near Ziwu Mountain and Huanglong Mountain, which have high vegetation coverage (<xref ref-type="fig" rid="sustainability-09-00199-f004">Figure 4</xref>a), so the NPP value should be higher there than in other counties, and some research corroborates this [<xref ref-type="bibr" rid="B3-sustainability-09-00199">3</xref>,<xref ref-type="bibr" rid="B68-sustainability-09-00199">68</xref>]. MOD17-NPP values were in middle range in the four counties, which shows that NPP simulated by the CASA model is more reasonable in those areas. <xref ref-type="fig" rid="sustainability-09-00199-f009">Figure 9</xref> shows that MOD17-NPP had small fluctuations in the 25 counties, which was mainly due to the simulation of MOD17-NPP at a global scale, while the NPP as estimated by CASA exhibited reasonable variation. During the 14-year period over the whole area, the annual simulated NPP and MOD17-NPP also had a significant correlation (R<sup>2</sup> = 0.61, <italic>p</italic> &lt; 0.01) (<xref ref-type="app" rid="app1-sustainability-09-00199">Figure S3b</xref>). Overall, the NPP simulated by CASA in this study is reliable.</p>
        <p>In order to demonstrate the reliability of the ET dataset in our site, we offer the following points. First, the validity of MOD16-ET has been verified on different scales, as has been shown for Asia [<xref ref-type="bibr" rid="B73-sustainability-09-00199">73</xref>], Korea [<xref ref-type="bibr" rid="B74-sustainability-09-00199">74</xref>], China [<xref ref-type="bibr" rid="B75-sustainability-09-00199">75</xref>], Shaanxi Provence [<xref ref-type="bibr" rid="B76-sustainability-09-00199">76</xref>] and the Wei River Basin [<xref ref-type="bibr" rid="B77-sustainability-09-00199">77</xref>]. Second, the synergy between NPP and ET, which has been found in our site by Jia et al. [<xref ref-type="bibr" rid="B33-sustainability-09-00199">33</xref>], means that ET can be enhanced with the increases in NPP. At the pixel scale, the correlation between annual NPP and ET from 2000&#x2013;2013 was analyzed and found to be significantly positive (R<sup>2</sup> &gt; 0.8, <italic>p</italic> &lt; 0.01) (<xref ref-type="fig" rid="sustainability-09-00199-f010">Figure 10</xref>a). The response of the ET change trend to the NPP change trend was also analyzed, and it too was significantly positive (R<sup>2</sup> = 0.282, <italic>p</italic> &lt; 0.01) (<xref ref-type="fig" rid="sustainability-09-00199-f010">Figure 10</xref>b). As a result of this positive correlation between NPP and ET, the reliability of MOD16-ET in the NSLP is further enhanced.</p>
      </sec>
      <sec id="sec5dot2-sustainability-09-00199">
        <title>5.2. Main Drivers of ES Changes</title>
        <p>According to the relationships between GP and different factors (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>), neither T nor PPT were significantly correlated with GP during the study period, but the correlations between GP and the investments in agriculture (i.e., chemical fertilizer and agricultural machinery power) were significant (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>). Fu et al. [<xref ref-type="bibr" rid="B78-sustainability-09-00199">78</xref>] considered GP to be closely related to agricultural production conditions, artificial inputs and technical progress in the Loess Plateau. Our study showed that the increasing GP was mainly driven by the increasing agricultural investments in our site. Chemical fertilizer investment ranged from 155.71 kg/ha in 2000 to 330.29 kg/ha in 2013 (<xref ref-type="fig" rid="sustainability-09-00199-f011">Figure 11</xref>a); it thus grew 1.12-times from 2000&#x2013;2013 with a significantly increasing trend of 15.39 kg/ha&#xB7;year (R<sup>2</sup> = 0.928, <italic>p</italic> &lt; 0.01). Agricultural machinery power grew 2.07-times and ranged from 19.80 kW/ha in 2000 to 60.77 kW/ha in 2013, with a significantly increasing trend (R<sup>2</sup> = 0.996, <italic>p</italic> &lt; 0.01) (<xref ref-type="fig" rid="sustainability-09-00199-f011">Figure 11</xref>b). Moreover, our study also showed that chemical fertilizer input was more effective than agricultural machinery power input (<xref ref-type="table" rid="sustainability-09-00199-t002">Table 2</xref>). Other minor drivers of GP improvement in our site may include farm management and the construction of high quality basic croplands [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>,<xref ref-type="bibr" rid="B65-sustainability-09-00199">65</xref>,<xref ref-type="bibr" rid="B66-sustainability-09-00199">66</xref>].</p>
        <p>According to the relationships between WY and different factors (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>), both T and cumulative afforested area had a weak connection with WY change from 2000&#x2013;2013 (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>). However, the negative effect of afforestation was significant in the GFG-extensive period (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>). The response of WY change to NDVI change showed there was a negative relationship between vegetation restoration and WY (<xref ref-type="fig" rid="sustainability-09-00199-f007">Figure 7</xref>a). In this study, WY was calculated by subtracting ET from PPT. During the study period, ET increased with the growth of woodlands (<xref ref-type="fig" rid="sustainability-09-00199-f011">Figure 11</xref>c), which can partly explain the negative relationship between afforestation or vegetation restoration and WY. However, the increase in ET was slight, and the annual growth in PPT (8.46 mm/year) was much larger than the growth in ET (1.90 mm/year), which suggests that the slight improvement of WY was mainly driven by PPT during the study period. The strong and positive response of WY change to PPT change (<xref ref-type="fig" rid="sustainability-09-00199-f008">Figure 8</xref>a), significant correlation (<xref ref-type="table" rid="sustainability-09-00199-t003">Table 3</xref>) and linear fitting (<xref ref-type="fig" rid="sustainability-09-00199-f012">Figure 12</xref>a) between WY and PPT can enhance the credibility of that conclusion. However, the afforestation producing the negative effect on WY still cannot be ignored.</p>
        <p>According the relationships between NPP and different factors (<xref ref-type="table" rid="sustainability-09-00199-t004">Table 4</xref>), neither T nor PPT were significantly correlated with NPP during the study period, but the correlation between NPP and cumulative afforested area was significant. Xie et al. [<xref ref-type="bibr" rid="B59-sustainability-09-00199">59</xref>] consider land use change caused by GFG to be the main factor in increasing NPP in the Loess Plateau. Driven by GFG policy (the input of labor and funding), the decreasing croplands and increasing woodlands (including scrublands) were the main types of land use change in our site between 2000 and 2013. That change brought about the recovery of natural vegetation systems, which played a major role in the increase in NPP. Additionally, NPP was in fact significantly increasing in the mid-eastern NSLP, including Jia County, Hengshan County, Mizhi County, Wubao County, Zizhou County, Suide County, Zichang County, Qingjian County, Yanchuan County and Yan&#x2019;an County, which correspond with the main GFG regions. The significant correlation (<xref ref-type="table" rid="sustainability-09-00199-t004">Table 4</xref>) and linear fitting (<xref ref-type="fig" rid="sustainability-09-00199-f012">Figure 12</xref>b) between NPP and cumulative afforested area showed that the sustained growth of NPP was mainly caused by afforestation (or GFG policy).</p>
        <p>The drivers involved in ES changes in our site from 2000&#x2013;2013 are complex. For different ES, there are different dominant factors, some of them natural and other anthropogenic. The change in WY is attributed to the PPT belonging to the climate factor. The improvement in GP can be explained by the increasing in chemical fertilizer and agricultural machinery power, and the increasing in NPP can be explained by afforestation. Actually, these drivers (i.e., chemical fertilizer, agricultural machinery power and afforestation) can be attributed to the investments in natural capital. Ecosystems (e.g., forest ecosystem, farmland ecosystem) have been seen as natural capital assets, with the potential to generate a stream of vital life-support services [<xref ref-type="bibr" rid="B79-sustainability-09-00199">79</xref>]. The stable and persistent investments in natural capital are crucial to improve some ES. Recent research at a large scale [<xref ref-type="bibr" rid="B1-sustainability-09-00199">1</xref>] have found that the investments in natural capital starting in 2000 have significantly improved the key ES in China. On a relatively small scale, our analysis showed that the investments in the farmland system improved food provision and that the afforestation increased climate regulation service.</p>
      </sec>
      <sec id="sec5dot3-sustainability-09-00199">
        <title>5.3. Sustainability of Ecological Restoration and ES</title>
        <p>GFG policies increased GP and NPP in the NSLP, and those policies provide a natural foundation for maintaining ES. However, the ecosystem and socioeconomic system are interactive, and during this interaction, farmers&#x2019; attitudes and strategies are key to sustainable developments in ecological restoration [<xref ref-type="bibr" rid="B80-sustainability-09-00199">80</xref>]. Close cooperation between government and local stakeholders can maximize the effects of GFG projects [<xref ref-type="bibr" rid="B2-sustainability-09-00199">2</xref>]. The benefits produced by ecological restoration happen on a large scale (e.g., regional and national), while the costs of ecological restoration are undertaken by the local farmers. When the incomes of local farmers are temporarily reduced by ecological restoration projects, they typically re-plant later in the restored regions [<xref ref-type="bibr" rid="B81-sustainability-09-00199">81</xref>]. The conflicts caused by the differing scales of the costs and benefits have an impact on the sustainability of ecological restoration. After a dozen years of GFG in the NSLP, ecological restoration has shifted focus from ecological benefit to reconciling ecological and social benefits. However, according to the data derived from the National Poverty Alleviation Office in 2015, 44% of the counties in the GFG region are still poverty-stricken (i.e., Qingjian County, Zizhou County, Suide County, Mizhi County, Jia County, Wubao County, Hengshan County, Zichang County, Ansai County and Wuqi County). Achieving a win-win situation involving both ES and poverty alleviation is the primary objective for the sustainable development of ecological restoration.</p>
        <p>Ecological restoration improves regulating services, but it may at the same time cause a drop in provision services and, thus, have a negative impact on local farmers. A few studies have found that there is a trade-off between provision services and regulating services [<xref ref-type="bibr" rid="B82-sustainability-09-00199">82</xref>,<xref ref-type="bibr" rid="B83-sustainability-09-00199">83</xref>,<xref ref-type="bibr" rid="B84-sustainability-09-00199">84</xref>]. However, our case study in the NSLP shows that the GP does not decrease, which mainly benefiting from sustaining investments in agriculture. This suggests that configuring effective compensation mechanisms (e.g., technological and economic) would contribute to the coordinated growth of both provision services and regulating services. Moreover, following the laws of ecological succession by choosing native tree species and developing more ecologically-informed GFG programs are both conducive to achieving stable and sustainable ecological restoration.</p>
      </sec>
    </sec>
    <sec id="sec6-sustainability-09-00199" sec-type="conclusions">
      <title>6. Conclusions</title>
      <p>As a link between ecosystems and human well-being, ES are receiving more and more attention. As the GFG project proceeds, food provision, water regulation and climate regulation services in the NSLP are changing and have raised broad attention. To better understand the change trends and driving factors of the ES in the NSLP from 2000&#x2013;2013, this study quantified the changes in NDVI/GP/WY/NPP and analyzed the relationships between GP/WY/NPP and different factors during the study period. The study found that, from 2000&#x2013;2013, vegetation restoration was ongoing, but with fluctuation under the comprehensive influence of climate and human activity. GP and NPP both had a significantly increasing trend during the study period at the whole region scale in our site. Spatially, the regions with significant NPP growth corresponded strongly to the GFG counties. The changes in WY occurred in two stages: decline (2000&#x2013;2006) and growth (2007&#x2013;2013). There were different dominant factors (i.e., natural factors vs. anthropogenic factors) driving GP/WY/NPP change in our site from 2000&#x2013;2013. The changes in WY were influenced mainly by PPT. The improvement in GP and NPP can be attributed to investments in natural capital (i.e., chemical fertilizer, agricultural machinery power and afforestation). Meanwhile, we also found that vegetation restoration produced positive effects on NPP, but negative effects on WY. According to our research, we offer the following recommendations to other landscapes experiencing similar policies. In the process of vegetation restoration, we should follow the laws of ecological succession and choose native tree species to avoid climate inadaptation. Configuring effective compensation mechanisms (e.g., technological and economic) in the nature conservation programs could relieve the losses of local people and would be conducive to achieving stable and sustainable ecological restoration.</p>
    </sec>
  </body>
  <back>
    <app-group>
      <app id="app1-sustainability-09-00199">
	<title>Supplementary Materials</title>
	<supplementary-material id="sustainability-09-00199-s001" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-s001.pdf">
	</supplementary-material>
        <p>The following are available online at <uri>www.mdpi.com/2071-1050/9/2/199/s1</uri>, Figure S1: The land use types in the NSLP in 2000 (<bold>a</bold>) and 2010 (<bold>b</bold>), Figure S2: Spatial distribution and change trends in temperature and precipitation from 2000 to 2013 in the NSLP, Figure S3: Comparisons of simulated NPP and MOD17-NPP values in our site using (<bold>a</bold>) the average annual value from the 25 counties, and (<bold>b</bold>) the annual value from the 14-year period as a whole, Table S1: Information of weather stations within and near the Northern Shaanxi Loess Plateau (NSLP). </p>
      </app>
    </app-group>
    <ack>
      <title>Acknowledgments</title>
      <p>The authors gratefully acknowledge the financial support by the National Natural Science Foundation of China (41271549, 41671531), the Key Project of the National Societal Science Foundation of China (15ZDB163), the Fundamental Research Funds for the Central Universities (2014KJJCB33) and the China S&amp;T Supporting Project (2012BAD14B03).</p>
    </ack>
    <notes>
      <title>Author Contributions</title>
      <p>Hejie Wei and Xiaobin Dong designed the paper. Hejie Wei collected the data and wrote the paper. Xiaobin Dong revised the paper. Kaixiong Xing contributed to the modification. Others were advisors. All authors have read and approved the final manuscript.</p>
    </notes>
    <notes notes-type="COI-statement">
      <title>Conflicts of Interest</title>
      <p>The authors declare no conflict of interest.</p>
    </notes>
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          <pub-id pub-id-type="doi">10.1073/pnas.0907284107</pub-id>
          <pub-id pub-id-type="pmid">20194739</pub-id>
        </citation>
      </ref>
    </ref-list>
    <sec sec-type="display-objects">
      <title>Figures and Tables</title>
      <fig id="sustainability-09-00199-f001" position="float">
        <label>Figure 1</label>
        <caption>
          <p>(<bold>a</bold>) The 25 counties of the Northern Shaanxi Loess Plateau (NSLP); (<bold>b</bold>) the location of NSLP; and (<bold>c</bold>) the main streams and key features in the study area. (DEM, digital elevation model.)</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g001.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f002" position="float">
        <label>Figure 2</label>
        <caption>
          <p>Changes in (<bold>a</bold>) temperature (T) and (<bold>b</bold>) precipitation (PPT) from 1955&#x2013;2013 in our site.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g002.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f003" position="float">
        <label>Figure 3</label>
        <caption>
          <p>Changes in the annual NDVI from 2000&#x2013;2013 in our site.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g003.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f004" position="float">
        <label>Figure 4</label>
        <caption>
          <p>The (<bold>a</bold>) spatial pattern, (<bold>b</bold>) change rate and (<bold>c</bold>) significance of NDVI changes in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g004.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f005" position="float">
        <label>Figure 5</label>
        <caption>
          <p>Changes in annual (<bold>a</bold>) grain production (GP) and gross productivity, (<bold>b</bold>) total water yield (WY) and (<bold>c</bold>) total net primary production (NPP) in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g005.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f006" position="float">
        <label>Figure 6</label>
        <caption>
          <p>Spatial pattern of (<bold>a</bold>) WY and (<bold>d</bold>) NPP, change rate of (<bold>b</bold>) WY and (<bold>e</bold>) NPP, significance of (<bold>c</bold>) WY change and (<bold>f</bold>) NPP change in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g006.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f007" position="float">
        <label>Figure 7</label>
        <caption>
          <p>Response of (<bold>a</bold>) WY change to NDVI change and (<bold>b</bold>) NPP change to NDVI change at the pixel scale in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g007.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f008" position="float">
        <label>Figure 8</label>
        <caption>
          <p>Response of (<bold>a</bold>) WY change to PPT change, (<bold>b</bold>) NPP change to T change and (<bold>c</bold>) NPP change to PPT change at the pixel scale in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g008.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f009" position="float">
        <label>Figure 9</label>
        <caption>
          <p>Comparison between MOD17-NPP and simulated NPP in each county during the study period.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g009.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f010" position="float">
        <label>Figure 10</label>
        <caption>
          <p>The response of ET to NPP in terms of (<bold>a</bold>) spatial distribution and (<bold>b</bold>) the change trend at the pixel scale in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g010.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f011" position="float">
        <label>Figure 11</label>
        <caption>
          <p>Changes in annual (<bold>a,b</bold>) agricultural investment and (<bold>c</bold>) ET (evapotranspiration) in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g011.tif"/>
      </fig>
      <fig id="sustainability-09-00199-f012" position="float">
        <label>Figure 12</label>
        <caption>
          <p>The linear fitting (<bold>a</bold>) between WY and PPT and (<bold>b</bold>) between NPP and cumulative afforested area in our site from 2000&#x2013;2013.</p>
        </caption>
        <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="sustainability-09-00199-g012.tif"/>
      </fig>
      <table-wrap id="sustainability-09-00199-t001" position="float">
        <object-id pub-id-type="pii">sustainability-09-00199-t001_Table 1</object-id>
        <label>Table 1</label>
        <caption>
          <p>Land use transition matrix for the Northern Shaanxi Loess Plateau (NSLP) during 2000&#x2013;2010 (area &#xD7; 10<sup>2</sup> km<sup>2</sup>).</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th rowspan="2" colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin"> </th>
              <th colspan="6" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2010</th>
              <th rowspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Total in 2000</th>
            </tr>
            <tr>
              <th align="center" valign="middle" style="border-bottom:solid thin">Croplands</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">Woodlands</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">Grasslands</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">Water</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">Urban</th>
              <th align="center" valign="middle" style="border-bottom:solid thin">Barren</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td rowspan="6" align="center" valign="middle" style="border-bottom:solid thin">2000</td>
              <td align="center" valign="middle">Croplands</td>
              <td align="center" valign="middle">270.34</td>
              <td align="center" valign="middle">6.94</td>
              <td align="center" valign="middle">5.56</td>
              <td align="center" valign="middle">0.04</td>
              <td align="center" valign="middle">0.35</td>
              <td align="center" valign="middle">0.04</td>
              <td align="center" valign="middle">283.27</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Woodlands</td>
              <td align="center" valign="middle">0.03</td>
              <td align="center" valign="middle">111.56</td>
              <td align="center" valign="middle">0.19</td>
              <td align="center" valign="middle">0.02</td>
              <td align="center" valign="middle">0.03</td>
              <td align="center" valign="middle">0.07</td>
              <td align="center" valign="middle">111.9</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Grasslands</td>
              <td align="center" valign="middle">0.63</td>
              <td align="center" valign="middle">4.69</td>
              <td align="center" valign="middle">344.06</td>
              <td align="center" valign="middle">0.05</td>
              <td align="center" valign="middle">0.23</td>
              <td align="center" valign="middle">0.47</td>
              <td align="center" valign="middle">350.13</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Water</td>
              <td align="center" valign="middle">0.18</td>
              <td align="center" valign="middle">0.03</td>
              <td align="center" valign="middle">0.11</td>
              <td align="center" valign="middle">5.75</td>
              <td align="center" valign="middle">0.01</td>
              <td align="center" valign="middle">0.01</td>
              <td align="center" valign="middle">6.09</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Urban</td>
              <td align="center" valign="middle">0</td>
              <td align="center" valign="middle">0</td>
              <td align="center" valign="middle">0.01</td>
              <td align="center" valign="middle">0</td>
              <td align="center" valign="middle">2.69</td>
              <td align="center" valign="middle">0</td>
              <td align="center" valign="middle">2.7</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Barren</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.22</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.02</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">1.28</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.04</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.06</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">47.89</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">49.51</td>
            </tr>
            <tr>
              <td colspan="2" align="center" valign="middle">Total in 2010</td>
              <td align="center" valign="middle">271.4</td>
              <td align="center" valign="middle">123.24</td>
              <td align="center" valign="middle">351.21</td>
              <td align="center" valign="middle">5.9</td>
              <td align="center" valign="middle">3.37</td>
              <td align="center" valign="middle">48.48</td>
              <td align="center" valign="middle"> </td>
            </tr>
            <tr>
              <td colspan="2" align="center" valign="middle" style="border-bottom:solid thin">Area Change</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;11.87</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">11.34</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">1.08</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.19</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.67</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;1.03</td>
              <td align="center" valign="middle" style="border-bottom:solid thin"> </td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p>The land use dataset was interpreted by Landsat TM and was provided by the Data Center for Resources and Environmental Sciences, Chinese Academy of Sciences (RESDC) [<xref ref-type="bibr" rid="B34-sustainability-09-00199">34</xref>].</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <table-wrap id="sustainability-09-00199-t002" position="float">
        <object-id pub-id-type="pii">sustainability-09-00199-t002_Table 2</object-id>
        <label>Table 2</label>
        <caption>
          <p>Correlation and partial correlation between GP and T (temperature)/PPT (precipitation)/CF (chemical fertilizer)/AMP (agricultural machinery power)/LF (labor force) during the study period in our site.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th rowspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Period</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2013</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2006</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2007&#x2013;2013</th>
            </tr>
            <tr>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle">GP vs. T</td>
              <td align="center" valign="middle">&#x2212;0.423</td>
              <td align="center" valign="middle">&#x2212;0.444</td>
              <td align="center" valign="middle">&#x2212;0.285</td>
              <td align="center" valign="middle">&#x2212;0.295</td>
              <td align="center" valign="middle">&#x2212;0.435</td>
              <td align="center" valign="middle">&#x2212;0.634</td>
            </tr>
            <tr>
              <td align="center" valign="middle">GP vs. PPT</td>
              <td align="center" valign="middle">0.493</td>
              <td align="center" valign="middle">0.510</td>
              <td align="center" valign="middle">0.017</td>
              <td align="center" valign="middle">&#x2212;0.080</td>
              <td align="center" valign="middle">0.508</td>
              <td align="center" valign="middle">0.673</td>
            </tr>
            <tr>
              <td align="center" valign="middle">GP vs. CF</td>
              <td align="center" valign="middle">0.938 *</td>
              <td align="center" valign="middle">0.721 *</td>
              <td align="center" valign="middle">0.606</td>
              <td align="center" valign="middle">0.676</td>
              <td align="center" valign="middle">0.925 *</td>
              <td align="center" valign="middle">0.830 **</td>
            </tr>
            <tr>
              <td align="center" valign="middle">GP vs. AMP</td>
              <td align="center" valign="middle">0.905 *</td>
              <td align="center" valign="middle">0.566 **</td>
              <td align="center" valign="middle">0.535</td>
              <td align="center" valign="middle">0.508</td>
              <td align="center" valign="middle">0.924 *</td>
              <td align="center" valign="middle">0.639</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">GP vs. LF</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.894 *</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.451</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.219</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.431</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.869 *</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.441</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>R</italic>: correlation coefficient; <italic>PR</italic>: partial coefficient; * correlation or partial correlation is significant at the 0.01 level; ** correlation or partial correlation is significant at the 0.05 level.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <table-wrap id="sustainability-09-00199-t003" position="float">
        <object-id pub-id-type="pii">sustainability-09-00199-t003_Table 3</object-id>
        <label>Table 3</label>
        <caption>
          <p>Correlation and partial correlation between WY (water yield) and T/PPT/CAA (cumulative afforested area) during the study period over the whole regional scale.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th rowspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Period</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2013</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2006</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2007&#x2013;013</th>
            </tr>
            <tr>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle">WY vs. T</td>
              <td align="center" valign="middle">0.013</td>
              <td align="center" valign="middle">0.239</td>
              <td align="center" valign="middle">&#x2212;0.184</td>
              <td align="center" valign="middle">&#x2212;0.005</td>
              <td align="center" valign="middle">0.253</td>
              <td align="center" valign="middle">0.338</td>
            </tr>
            <tr>
              <td align="center" valign="middle">WY vs. PPT</td>
              <td align="center" valign="middle">0.952 *</td>
              <td align="center" valign="middle">0.954 *</td>
              <td align="center" valign="middle">0.914 *</td>
              <td align="center" valign="middle">0.957 *</td>
              <td align="center" valign="middle">0.971 *</td>
              <td align="center" valign="middle">0.960 *</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">WY vs. CAA</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.317</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.253</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.409</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.748 ***</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.631 ***</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">&#x2212;0.554</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>R</italic>: correlation coefficient; <italic>PR</italic>: partial coefficient; * correlation or partial correlation is significant at the 0.01 level; *** correlation or partial correlation is significant at the 0.1 level.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <table-wrap id="sustainability-09-00199-t004" position="float">
        <object-id pub-id-type="pii">sustainability-09-00199-t004_Table 4</object-id>
        <label>Table 4</label>
        <caption>
          <p>Correlation and partial correlation between NPP (net primary production) and T/PPT/CAA (cumulative afforested area) during the study period over the whole regional scale.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th rowspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Period</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2013</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2000&#x2013;2006</th>
              <th colspan="2" align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">2007&#x2013;2013</th>
            </tr>
            <tr>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>R</italic></th>
              <th align="center" valign="middle" style="border-bottom:solid thin"><italic>PR</italic></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle">NPP vs. T</td>
              <td align="center" valign="middle">&#x2212;0.33</td>
              <td align="center" valign="middle">&#x2212;0.256</td>
              <td align="center" valign="middle">&#x2212;0.143</td>
              <td align="center" valign="middle">&#x2212;0.095</td>
              <td align="center" valign="middle">&#x2212;0.337</td>
              <td align="center" valign="middle">&#x2212;0.131</td>
            </tr>
            <tr>
              <td align="center" valign="middle">NPP vs. PPT</td>
              <td align="center" valign="middle">0.233</td>
              <td align="center" valign="middle">&#x2212;0.172</td>
              <td align="center" valign="middle">0.089</td>
              <td align="center" valign="middle">0.253</td>
              <td align="center" valign="middle">&#x2212;0.105</td>
              <td align="center" valign="middle">&#x2212;0.448</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">NPP vs. CAA</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.784 *</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.766 *</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.786 **</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.807 **</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.302</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">0.508</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>R</italic>: correlation coefficient; <italic>PR</italic>: partial coefficient; * correlation or partial correlation is significant at the 0.01 level; ** correlation or partial correlation is significant at the 0.05 level.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <table-wrap id="sustainability-09-00199-t005" position="float">
        <object-id pub-id-type="pii">sustainability-09-00199-t005_Table 5</object-id>
        <label>Table 5</label>
        <caption>
          <p>Comparison of simulated NPP in the Loss Plateau (g C/m<sup>2</sup>&#xB7;year). CASA, Carnegie Ames Stanford Approach; Biome-BGC, Biogeochemical Cycles.</p>
        </caption>
        <table>
          <thead>
            <tr>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Model Used</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">NPP</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Study Area</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Period</th>
              <th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin">Source</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="center" valign="middle">CASA</td>
              <td align="center" valign="middle">272</td>
              <td align="center" valign="middle">Northern Shaanxi Loess Plateau (Yulin, Yan&#x2019;an)</td>
              <td align="center" valign="middle">2000&#x2013;2013</td>
              <td align="center" valign="middle">This paper</td>
            </tr>
            <tr>
              <td align="center" valign="middle">CASA</td>
              <td align="center" valign="middle">308</td>
              <td align="center" valign="middle">Loess Plateau (whole area)</td>
              <td align="center" valign="middle">2000&#x2013;2008</td>
              <td align="center" valign="middle">[<xref ref-type="bibr" rid="B3-sustainability-09-00199">3</xref>]</td>
            </tr>
            <tr>
              <td align="center" valign="middle">CASA</td>
              <td align="center" valign="middle">310</td>
              <td align="center" valign="middle">Loess Plateau (whole area)</td>
              <td align="center" valign="middle">2000&#x2013;2010</td>
              <td align="center" valign="middle">[<xref ref-type="bibr" rid="B68-sustainability-09-00199">68</xref>]</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Biome-BGC</td>
              <td align="center" valign="middle">214</td>
              <td align="center" valign="middle">Northern Shaanxi Loess Plateau (Yulin, Yan&#x2019;an)</td>
              <td align="center" valign="middle">2000&#x2013;2013</td>
              <td align="center" valign="middle">MOD17</td>
            </tr>
            <tr>
              <td align="center" valign="middle">Biome-BGC</td>
              <td align="center" valign="middle">238</td>
              <td align="center" valign="middle">Loess Plateau (whole area)</td>
              <td align="center" valign="middle">2000&#x2013;2010</td>
              <td align="center" valign="middle">[<xref ref-type="bibr" rid="B59-sustainability-09-00199">59</xref>]</td>
            </tr>
            <tr>
              <td align="center" valign="middle" style="border-bottom:solid thin">Biome-BGC</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">223</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">Shaanxi-Gansu-Ningxia Loess Plateau</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">2000&#x2013;2012</td>
              <td align="center" valign="middle" style="border-bottom:solid thin">[<xref ref-type="bibr" rid="B72-sustainability-09-00199">72</xref>]</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
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</article>
