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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-21-863-2017</article-id><title-group><article-title>Monitoring the variations of evapotranspiration due to land use/cover change
in a semiarid shrubland</article-title>
      </title-group><?xmltex \runningtitle{Monitoring the variations of evapotranspiration due to land use/cover change}?><?xmltex \runningauthor{T.~Gong et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Gong</surname><given-names>Tingting</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lei</surname><given-names>Huimin</given-names></name>
          <email>leihm@tsinghua.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-1175-2334</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Dawen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jiao</surname><given-names>Yang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Hanbo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5925-0245</ext-link></contrib>
        <aff id="aff1"><institution>State Key Laboratory of Hydroscience and Engineering, Department of
Hydraulic Engineering, <?xmltex \hack{\break}?> Tsinghua University, Beijing, 100084, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Huimin Lei (leihm@tsinghua.edu.cn)</corresp></author-notes><pub-date><day>14</day><month>February</month><year>2017</year></pub-date>
      
      <volume>21</volume>
      <issue>2</issue>
      <fpage>863</fpage><lpage>877</lpage>
      <history>
        <date date-type="received"><day>18</day><month>September</month><year>2016</year></date>
           <date date-type="rev-request"><day>30</day><month>September</month><year>2016</year></date>
           <date date-type="rev-recd"><day>8</day><month>January</month><year>2017</year></date>
           <date date-type="accepted"><day>25</day><month>January</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017.html">This article is available from https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017.pdf</self-uri>


      <abstract>
    <p>Evapotranspiration (<italic>E</italic><inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is an important process in the
hydrological cycle, and vegetation change is a primary factor that affects
<italic>E</italic><inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. In this study, we analyzed the annual and inter-annual
characteristics of <italic>E</italic><inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> using continuous observation data from
eddy covariance (EC) measurement over 4 years (1 July 2011 to
30 June 2015) in a semiarid shrubland of Mu Us Sandy Land, China. The
Normalized Difference Vegetation Index (NDVI) was demonstrated as the
predominant factor that influences the seasonal variations in
<italic>E</italic><inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. Additionally, during the land degradation and vegetation
rehabilitation processes, <italic>E</italic><inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and normalized <italic>E</italic><inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
both increased due to the integrated effects of the changes in vegetation
type, topography, and soil surface characteristics. This study could improve
our understanding of the effects of land use/cover change on
<italic>E</italic><inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> in the fragile ecosystem of semiarid regions and provide a
scientific reference for the sustainable management of regional land and
water resources.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Arid and semiarid biomes cover approximately 40 % of the Earth's
terrestrial surface (Fernández, 2002). Previous studies have shown that
more than 50 % of precipitation (<italic>P</italic>) is consumed by
evapotranspiration (<italic>E</italic><inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Yang et al., 2007; Liu et al.,
2002). Moreover, a slight change in <italic>E</italic><inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> could have
significant influences on water cycle and the ratio of <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>
could increase to even 90 % or more in these regions (Mo et al., 2004;
Glenn et al., 2007). In terms of physical processes, <italic>E</italic><inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
is affected by net radiation (Valipour et al., 2015), water vapor pressure
deficit (Zhang et al., 2014), wind speed (Falamarzi et al., 2014), and soil
water stress (Allen et al., 1998). Moreover, vegetation condition is also a
crucial factor influencing <italic>E</italic><inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> (Tian et al., 2015; Wang
et al., 2011; Piao et al., 2006; Mackay et al., 2007).</p>
      <p>Vegetation change mainly includes phenological change (temporal) and land
use/cover change (spatial). Phenological change reflects the response of
plants to climate change (vegetation greening and browning processes) (Ge et
al., 2015), which actively controls <italic>E</italic><inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> through internal
physiologies such as stomatal conductance (Pearcy et al., 1989), as well as
the number and sizes of stomata (Turrell, 1947). In general, transpiration is
directly proportional to stomatal conductance at the leaf scale (Leuning et
al., 1995). At the canopy scale, <italic>E</italic><inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> is positively
proportional to surface conductance, which is an integration of stomatal
conductance and leaf area (Ding et al., 2014). Thus, as a good indicator of
vegetation phenological change, many studies have found that
<italic>E</italic><inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> is positively related to vegetation indexes such as
the Normalized Difference Vegetation Index (NDVI) (Gu et al., 2007). Land
use/cover change influences <italic>E</italic><inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> by modifying vegetation
species with different transpiration rates, radiation transfers within the
canopy (Martens et al., 2000; Panferov et al., 2001), topography (Lv et al.,
2006), albedos (Zeng and Yoon, 2009), soil texture (Maayar and Chen, 2006),
litter coverage (Wang, 1992), and biological soil crusts (BSCs) (Yang et al.,
2015; Fu et al., 2010; Liu, 2012). These complex processes result in no
consensus on the effects of land use/cover change on <italic>E</italic><inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>.
For example, during the land degradation process, some researchers found that
warming air temperature was the main cause of making <italic>E</italic><inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
increase (Zeng and Yang, 2008; Li et al., 2013; Feddema and Freire, 2001). By
contrast, a decline in <italic>E</italic><inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> was found along with the
deforestation process because of less transpiration (Snyman, 2001; Souza and
Oyama, 2011) or higher albedo (Zeng et al., 2002). Moreover, no changes in
<italic>E</italic><inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> during the land degradation process were reported
either (Hoshino et al., 2009). Thus, there has been an important push to
better understand how <italic>E</italic><inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> responds to vegetation change,
especially to the land use/cover change.</p>
      <p>Three methods were usually employed to assess the effects of vegetation
change on <italic>E</italic><inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>: numerical models, paired comparative
approaches, and in situ field observations. In these methods, numerical
models are widely used (Twine et al., 2004; Kim et al., 2005; Li et al.,
2009; Cornelissen et al., 2013; Mo et al., 2004). However, model
parameterization of vegetation conditions is a big challenge, as the
aforementioned complex underlying mechanisms may not be completely considered
in the models. Therefore, the simulated effects of vegetation change on
<italic>E</italic><inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> are highly dependent on model parameterizations,
which may induce uncertainty (Cornelissen et al., 2013; Li et al., 2009). The
paired comparative approach is often considered the best method; nonetheless,
it is difficult to find two sites with similar meteorological conditions but
different vegetation conditions (Li et al., 2009; Lorup et al., 1998).
Moreover, the method of in situ field observations is widely used to
investigate long-term land–atmosphere exchanges. However, the land use/cover
conditions at sites are generally stable, and only the response of
<italic>E</italic><inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> to vegetation phenological change can be observed,
such as the <italic>E</italic><inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> variations in grassland (Y. Zhang et al.,
2005), mixed plantation (cork oak, black locust, and arborvitae) (Tong et
al., 2017), vineyard (Li et al., 2015), and grazed steppe (Chen et al., 2009;
Vetter et al., 2012). Continuous field observations under both land
degradation and vegetation rehabilitation processes have rarely been
documented, especially in the semiarid shrubland.</p>
      <p>The Mu Us Sandy Land is a semiarid shrubland ecosystem on the northern margin
of the Loess Plateau in China. The area covers only 40 000 km<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Dong
and Zhang, 2001) and is ecologically fragile (Yang et al., 2007). In such an
ecosystem, sand dunes and BSCs are commonly observed (Gao et al., 2014; Yang
et al., 2015; Li and Li, 2000; Liu, 2012). Due to the existence of BSCs and
dry sand layers (Z. Wang et al., 2006; Feng, 1994; Liu et al., 2006; Yuan et
al., 2008), soil evaporation has been effectively retained; therefore, the Mu
Us Sandy Land contains abundant groundwater (Li and Li, 2000). During the
past decades, rapid land use/cover changes have occurred in this region due
to agricultural reclamation (Wu and Ci, 2002; Ostwald and Chen, 2006; Zhang
et al., 2006), leading to dramatic changes in vegetation conditions. With
respect to the specific question of whether land use/cover change will lead
to increases in <italic>E</italic><inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> or not, a continuous measurement of
<italic>E</italic><inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> under different land use/cover conditions is required
in this region. Coincidentally, two processes of land use/cover changes (land
degradation and vegetation rehabilitation) have occurred at the edge of the
Mu Us Sandy Land, providing us with a unique opportunity to study the effects
of land use/cover change on <italic>E</italic><inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p>Hence, based on the 4-year measurement of <italic>E</italic><inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> by eddy
covariance techniques, this study analyzed the seasonal and inter-annual
variations in <italic>E</italic><inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, and discussed the possible reasons for
the responses of <italic>E</italic><inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> to land use/cover change. Our
results were expected to provide a scientific reference for the sustainable
management of regional land and water resources in the context of intensive
agricultural reclamation.</p>
</sec>
<sec id="Ch1.S2">
  <title>Case study and data</title>
<sec id="Ch1.S2.SS1">
  <title>Site description</title>
      <p>The study was conducted at the Yulin flux site (38<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>26<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N,
109<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>28<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E, 1233 m),
which was established in June 2011. This site is located in a landform
transition zone that changes from the Mu Us Sandy Land to the north Shaanxi
Loess Plateau (Fig. 1). This site is a semiarid area with temperate
continental monsoon climate. According to long-term climate data (1951–2012)
from a meteorological station in Yulin (Fig. 1), the annual precipitation
varied from 235 to 685 mm, with a mean of 402 mm, and more than 50 % of
annual precipitation fell in the monsoon season (July–September). The mean
annual air temperature was 8.4 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C over the past 61 years. The
dominant soil type is sand (98 % sand) (saturated soil water content of
0.43 m<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, field capacity of 0.16 m<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, residual
moisture content of 0.045 m<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. There are widely distributed
fixed sand dunes and semi-fixed sand dunes around the site, and the depth of
the dry sand layer is 10 cm (Z. Wang et al., 2006). The mean groundwater
depth at our study site from 1 July 2011 to 30 June 2015 was 3.5 m.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Location of the Loess Plateau and map of the study site (LP: the
Loess Plateau; black triangle: flux tower; white triangle: Yulin
meteorological station; (1): Tu River; (2): Yuxi River; (3): Yellow River).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f01.png"/>

        </fig>

      <p>Shortage of water is the critical limiting factor for vegetation growth in
this site, and drought-enduring vegetation (e.g., shrubs) prevails as a
result of droughts (Wang et al., 2002; Wu, 2006). The study site is mainly
covered with mixed vegetation: the native drought-enduring shrubs with low
water demand (e.g., <italic>Artemisia ordosica</italic> and <italic>Salix psammophila</italic>) (Fig. 2a) and the sparse grass (mainly distributed at the
bottom of sand dunes because of the better soil moisture condition) (Lv et
al., 2006). The maximum root depth of the shrubs was approximately 160 cm.
Xiao et al. (2005) reported that the growing season of <italic>Artemisia ordosica</italic> and <italic>Salix psammophila</italic> spanned from late April to late
September. Therefore, we defined the period from 1 May to 30 September as the
vegetation growing season for data analysis in this study. On 15 August and
7 September 2011, we did surveys of the vegetation coverage by randomly
selecting seven samples around the flux tower
(5 <inline-formula><mml:math id="M44" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 500 cm <inline-formula><mml:math id="M45" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 500 cm and
2 <inline-formula><mml:math id="M46" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1000 cm <inline-formula><mml:math id="M47" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1000 cm). We found that the vegetation
coverage was 28.2 % in August and 27.9 % in September.</p><?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Land use/cover conditions at the study site: <bold>(a)</bold> the natural land
use/cover condition of shrubland (photo was taken on 6 August 2011); <bold>(b)</bold> the natural land use/cover condition of grassland (photo was taken on
7 September 2011); <bold>(c)</bold> the undisturbed zone (natural vegetation) and the
disturbed zone (bare soil) in the land degradation process (photo was taken
on 26 April 2013); <bold>(d)</bold> the undisturbed zone (natural vegetation) and the
disturbed zone (grassland) during the vegetation rehabilitation process
(photo was taken on 16 August 2014).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f02.jpg"/>

        </fig>

      <p>At the end of June 2012, the land use/cover condition around the eastern
portion of the flux tower began to be changed by farmers (leaves and branches
were cut, and the sand dunes were bulldozed) (Fig. 2c), converting part of
the natural vegetated land to bare land, with the planning of planting
potatoes in the future. As time went on, natural grass gradually grew out in
the area of bare land before potatoes were planted. Thus, our study period
(1 July 2011 to 30 June 2015) was divided into four periods according to the
land use/cover conditions: (a) Period I (1 July 2011 to 30 June 2012), the
period with the natural land use/cover condition (i.e., mixed sparsely
distributed shrubs and grass) (Fig. 2a and b); (b) Period II (1 July 2012 to
30 June 2013), the transitional period when the land use/cover condition
started to change (some natural vegetation removed and sand dunes bulldozed);
(c) Period III (1 July 2013 to 30 June 2014), the period when the land
use/cover condition constituted two parts: the natural vegetation zone and
the bare soil zone (Fig. 2c); and (d) Period IV (1 July 2014 to
30 June 2015), the period when the bare soil zone was gradually covered by
regrowing grass (Fig. 2d).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Field measurements</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Eddy covariance system measurements</title>
      <p>Net exchange of water vapor between atmosphere and canopy at this site is
measured by the eddy covariance (EC) flux measurement, which assesses the
fluxes of land–atmosphere (such as water and energy) (Baldocchi et al.,
2001). The data are essential for the estimation of the water and energy
balance (Franssen et al., 2010). At our site, the EC system is installed at a
height of 7.53 m above the ground surface, using CSAT3 three-dimensional
sonic anemometers (Campbell Scientific Inc., Logan, UT, USA) for wind and
temperature fluctuation measurements and a LI-7500A open-path infrared gas
analyzer (LI-COR, Inc., Lincoln, NE, USA) for water vapor content
measurement.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Other measurements</title>
      <p>Net radiation (<italic>R</italic><inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is measured by a net radiometer
(CNR-4; KIPP&amp;ZONEN, Delft, the Netherlands), including four radiometers
measuring the incoming and reflected short-wave radiation (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and incoming and outgoing long-wave radiation (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Sunshine
duration (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is measured by a sunshine recorder (CSD3;
KIPP&amp;ZONEN, Delft, the Netherlands). Wind speed and direction (05103,
Young Co. Traverse City, MI, USA) are measured at 10 m above the ground
surface. Precipitation (<italic>P</italic>, mm) is recorded with a tipping bucket
rain gauge (TE525MM; Campbell Scientific Inc., Logan, UT, USA) installed at a
height of 0.7 m above the ground surface. Air temperature (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and relative humidity (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are measured by a temperature and
relative humidity probe (HMP45C; Campbell Scientific Inc., Logan, UT, USA) at
a height of 2.6 m above the ground surface. Soil water content (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
is measured by time domain reflectometry (TDR) sensors (CS616; Campbell
Scientific Inc., Logan, UT, USA), soil temperature (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
measured by thermocouples (109; Campbell Scientific Inc., Logan, UT, USA),
and soil heat flux (<italic>G</italic>) is measured by heat flux plates (HFP01SC;
Campbell Scientific Inc., Logan, UT, USA) at a depth of 0.03 m below the
ground surface. These ground variables (<inline-formula><mml:math id="M56" display="inline"><mml:mi>G</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are
measured beneath the surface at two profiles: a plant canopy profile and a
bare soil profile. <inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are measured at depths of
5, 10, 20, 40, 60, 80, 120, and 160 cm below the ground surface. The
groundwater table is measured by an automatic sensor (CS450-L; Campbell
Scientific Inc., Logan, UT, USA), which is installed in a groundwater well
close to the tower.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Flux data processing</title>
      <p>The 10 Hz three-dimensional wind speed and water vapor concentrations that
were collected by the EC technique were processed to half-hourly latent heat
flux (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> using Eddypro processing software (v5.2.0,
LI-COR, Lincoln, NE, USA). The main principle is that <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be expressed as <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> (where
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the fluctuation of vertical wind speed, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the fluctuation of
specific humidity, and
<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the air density). The software also applies the quality
control of data, including spike removal, tilt correction, time lag
compensation, turbulent fluctuation blocking, and spectral corrections. The
percentages of half-hourly <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values removed (including
missing and rejected) through the quality control procedure were 17.3 %
in Period I, 20.2 % in Period II, 16.5 % in Period III, and
18.6 % in Period IV. Almost all the removed <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
values occurred during the nighttime (89.1 % in Period I, 91.3 % in
Period II, 92.6 % in Period III, and 88.7 % in Period IV). During the
nighttime, the change in <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was small, and
<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were close to zero. Therefore, after removal of the
nighttime <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, the errors of the gap-filled
nighttime values based on the neighboring good data were small. Moreover,
nighttime <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values accounted for only a small
proportion of the daily <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Furthermore, the percentages of
rejected and missing data in our study are similar to those reported by other
scholars, and these percentages are in a range of 15–31 % (Falge et al.,
2001; Wever et al., 2002; Mauder et al., 2006). Therefore, the <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data set was considered reliable after a quality control
procedure.</p>
      <p>After quality control, missing and rejected data were gap-filled in order to
create continuous data sets. Three methods were applied in the gap-filling
procedure: (1) linear interpolation was used to fill gaps of less than 1 h
by calculating an average of the values before and after the data gap;
(2) for gaps that are larger than 1 h but smaller than 7 days, the mean
diurnal variation (MDV) method (Falge et al., 2001) was used; (3) for gaps
that are larger than 7 days but smaller than 15 days in daily <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, we fitted the relationship between daily <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (W m<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the daily available energy flux
(<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (W m<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in each period. We chose the function
<inline-formula><mml:math id="M80" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> with the highest coefficient of correlation (<italic>R</italic>) in each period
(Yan et al., 2013), and the function was expressed as <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula> (Period I: <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.0014 m<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> W<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.075, <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10.69 W m<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.77; Period II: <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.0012 m<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> W<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.056, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 17.69 W m<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.67; Period III: <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.0014 m<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> W<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.16, <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 13.24 W m<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.75; and Period IV: <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.0015 m<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> W<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn>0.083</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 25.87 W m<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.69). Then, we used the fitted function <inline-formula><mml:math id="M110" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> in each period to estimate
the daily <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values of large gaps. In addition, gaps
that are larger than 7 days but smaller than 15 days mostly appeared in the
winter, which accounted for a small proportion of annual <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Methodology</title>
<sec id="Ch1.S3.SS1">
  <title>Footprint model</title>
      <p>In order to determine the contributing source area of flux at our site, the
scalar flux footprint model proposed by Hsieh et al. (2000) was used. The
analytic model accurately describes the relationship between the footprint,
observation height, surface roughness, and atmospheric stability. The fetch
<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated as follows:
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M114" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>D</mml:mi><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn>0.105</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo><mml:msubsup><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:msup><mml:mfenced open="|" close="|"><mml:mi>L</mml:mi></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>Q</mml:mi></mml:mrow></mml:msup><mml:msubsup><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">u</mml:mi><mml:mi>Q</mml:mi></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M115" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is the von Karman constant (<inline-formula><mml:math id="M116" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.40), <inline-formula><mml:math id="M117" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M118" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> are similarity
constants (for stable conditions, <italic>D</italic> <inline-formula><mml:math id="M119" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.28 and
<italic>Q</italic> <inline-formula><mml:math id="M120" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.59; for near neutral and neutral conditions,
<italic>D</italic> <inline-formula><mml:math id="M121" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.97 and <italic>Q</italic> <inline-formula><mml:math id="M122" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1; for unstable conditions,
<italic>D</italic> <inline-formula><mml:math id="M123" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.44 and <italic>Q</italic> <inline-formula><mml:math id="M124" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.33), <italic>L</italic> is the Obukhov
length, <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the height of the wind instrument (<inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.0 m),
and <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is defined as (Hsieh et al., 2000)
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M128" display="block"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the height of the momentum roughness (0.05 m).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Method of analyzing controlling factors on \textit{E}${}_{\mathrm{T}}$}?><title>Method of analyzing controlling factors on <italic>E</italic><inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p>It is generally recognized that potential evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, vegetation condition, and soil water stress are
the three main factors that control <italic>E</italic><inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> (Lettenmaier and
Famiglietti, 2006; Chen et al., 2014). In order to decouple the effect of
vegetation change from the integrated effects of these three factors on
<italic>E</italic><inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, we used a simple equation which was similar to the
FAO single crop coefficient method (Irrigation and Drainage Paper No. 56
(FAO-56)). This equation can be expressed as follows:
            <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M134" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">vegetation</mml:mi></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">water</mml:mi></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">vegetation</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> represents the effect of
vegetation change on <italic>E</italic><inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">water</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> represents the effect of soil water stress on <italic>E</italic><inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p>Moreover, <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">vegetation</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> can be regarded as the
normalized <italic>E</italic><inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, which eliminates the effects of atmospheric and
soil water stress on <italic>E</italic><inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and can be expressed by rearranging
Eq. (3):
            <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M142" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">vegetation</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">soil</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">water</mml:mi></mml:mfenced><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Potential evapotranspiration</title>
      <p><italic>E</italic><inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula> (mm day<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was estimated by the following
equation (Maidment, 1993), which is a modification of the Penman equation:
              <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M145" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">VPD</mml:mi><mml:mi mathvariant="italic">λ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where the units of <italic>R</italic><inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M147" display="inline"><mml:mi>G</mml:mi></mml:math></inline-formula> are mm day<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>;
<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the air density
(<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>3.486</mml:mn><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn>275</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, kg m<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, where
<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the atmospheric pressure in kPa and <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is in
degrees Celsius); <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat of moist air
(<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>1.013</mml:mn></mml:mrow></mml:math></inline-formula> kJ kg<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> is the slope of the
saturation vapor–pressure–temperature curve (kPa <inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; VPD
is the difference between the mean saturation vapor pressure
(<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, kPa) and actual vapor pressure (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, kPa); and
<inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the latent heat of vaporization of water
(<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>2.51</mml:mn></mml:mrow></mml:math></inline-formula> MJ kg<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is the psychrometric constant
(kPa <inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which is calculated by the following equation:
              <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M170" display="block"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is the ratio of the molecular weight of water vapor to
that of dry air (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>0.622</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the aerodynamic resistance, which can be calculated as follows
(Penman, 1948):
              <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M174" display="block"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn>4.72</mml:mn><mml:mfenced open="[" close="]"><mml:mi mathvariant="normal">ln</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">ln</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">ao</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn>0.536</mml:mn><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the height at which meteorological variables are
measured (2 m), and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mi mathvariant="normal">ao</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the aerodynamic roughness of the
surface (0.00137 m) (Penman, 1963); <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the daily wind speed at a
height of 2.0 m (m s<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and it was calculated by the wind speed at a
height of 10.0 m (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, m s<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>:
              <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M181" display="block"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mn>10</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn>4.87</mml:mn><mml:mrow><mml:mi mathvariant="normal">ln</mml:mi><mml:mo>(</mml:mo><mml:mn>67.8</mml:mn><mml:mo>⋅</mml:mo><mml:mn>10</mml:mn><mml:mo>-</mml:mo><mml:mn>5.42</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Vegetation parameters</title>
      <p>In this study, vegetation phenology was represented by Moderate Resolution
Imaging Spectroradiometer (MODIS) NDVI data when the land use/cover
conditions were fixed. NDVI is sufficiently stable to reflect the seasonal
changes of any vegetation (Huete et al., 2002). Higher NDVI generally
reflects the greater photosynthetic capacity (greenness) of the vegetation
canopy (Gu et al., 2007; Tucker, 1979). The daily NDVI was calculated by
daily surface reflectance data:
              <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M182" display="block"><mml:mrow><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">NIR</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">VIS</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NIR</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">VIS</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where NIR is the spectral response in the near-infrared band (857 nm) and
VIS is the visible red radiation band (645 nm). In this study, NDVI was
calculated by using MODIS/Terra data (MOD09GQ) (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Terra</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
MODIS/Aqua data (MYD09GQ) (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Aqua</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (<uri>http://reverb.echo.nasa.gov</uri>), respectively. As we found that there were
slight differences (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Terra</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Aqua</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>=</mml:mo><mml:mn>0.01</mml:mn><mml:mo>±</mml:mo><mml:mn>0.0075</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Terra</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Aqua</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we calculated NDVI
by averaging <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Terra</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">Aqua</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in order to eliminate the
impacts of such differences. The calculated NDVI values were then filtered
to remove anomalous hikes and drops (Lunetta et al., 2006), and the
smoothing spline method was used to produce a smoother profile.</p>
      <p>Theoretically, land use/cover change can be evaluated by comparing the land
use/cover maps in two different periods. However, transient land use/cover
maps were unavailable at our site. Therefore, we separated the study area
within the footprint into two zones: the undisturbed zone without any land
use/cover change was deemed zone A and the disturbed zone with land use/cover
change was deemed zone B. In zone A, vegetation change included only
vegetation phenological change; however, in zone B, there were not only
vegetation phenological changes, but also land use/cover changes. Based on
the assumption that the phenological changes caused by climate in the two
zones were the same, we defined an indicator (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as a measure
of land use/cover change:
              <disp-formula id="Ch1.E10" content-type="numbered"><mml:math id="M191" display="block"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the monthly vegetation
coverages of zone A and zone B, respectively. The monthly vegetation
coverage was calculated by monthly NDVI values (Gutman and Ignatov, 1998):
              <disp-formula id="Ch1.E11" content-type="numbered"><mml:math id="M194" display="block"><mml:mrow><mml:mi mathvariant="normal">M</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the maximum value (0.8 in this
study) and <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the minimum value (0.05 in
this study) (Gutman and Ignatov, 1998). The calculated monthly <inline-formula><mml:math id="M197" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> values
(27.6 and 24.2 %) were consistent with the measured vegetation
coverages in August 2011 (28.2 %) and September 2011 (27.9 %) at our
study site.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Soil water stress</title>
      <p>The effects of the soil water stress on <italic>E</italic><inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> can be
described in three stages (Idso et al., 1974). Stage 1: the soil water is
enough to satisfy the potential evaporation rate (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>); stage 2:
the soil is drying and water availability limits <italic>E</italic><inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
(0 &lt; <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> &lt; 1); and stage 3: the soil is dry
and evaporation can be considered negligible (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). We used
daily soil water content in the root depth (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to
estimate <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by the following expression (Morillas et al.,
2013):
              <disp-formula id="Ch1.E12" content-type="numbered"><mml:math id="M205" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">k</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">k</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">k</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the wilting value and <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
the stable field capacity which is considered to be equivalent to 60 % of
the field capacity (Lei et al., 1988; Wang et al., 2008). <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated by measured soil water contents at different
depths (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">where</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, 10, 20, 40, 60, 80, 120,
and 160 cm). From land surface to the depth of 5 cm, the soil water profile
was assumed triangular, while at other depths, the soil water profiles were
assumed trapezoidal. Therefore, the soil moisture of root zone was calculated
as

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M210" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E13"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn>0.5</mml:mn><mml:mfenced close="]" open="["><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mn>10</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>10</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>20</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mn>20</mml:mn><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>20</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>40</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn>40</mml:mn><mml:mo>-</mml:mo><mml:mn>20</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>40</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>60</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mn>60</mml:mn><mml:mo>-</mml:mo><mml:mn>40</mml:mn></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>60</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>80</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mn>80</mml:mn><mml:mo>-</mml:mo><mml:mn>60</mml:mn></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>80</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>120</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn>120</mml:mn><mml:mo>-</mml:mo><mml:mn>80</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>120</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mn>160</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn>160</mml:mn><mml:mo>-</mml:mo><mml:mn>120</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow><mml:mn>160</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, 10, 20, 40, 60, 80, 120, and 160 cm) was
calculated by taking a weighted average of the measured values in the canopy
and bare surface patches,
              <disp-formula id="Ch1.E14" content-type="numbered"><mml:math id="M212" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> refer to the
measured soil water contents of the canopy patch and bare soil patch at the
depth of <inline-formula><mml:math id="M215" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> cm, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Statistical analysis</title>
      <p>In this study, we chose daily data in Period I to analyze the correlations
between <italic>E</italic><inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and the three controlling factors
(<italic>E</italic><inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>, NDVI, and <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. We used several
common functions (e.g., an exponential function, a linear function, a
logarithmic function, and a quadratic function) to fit these correlations. We
found that the determination coefficient (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the linear function was
generally the highest. Therefore, in this study, we chose the linear function
to fit the correlations between <italic>E</italic><inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and the three
controlling factors. Additionally, a significant <italic>t</italic> test was
performed to evaluate the degrees of these correlations. Moreover, data on
rainy days were removed because <italic>E</italic><inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> values were
gap-filled rather than measured.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Footprint and energy balance closure</title>
      <p>Based on the footprint model, we got the half-hourly scatter data (Eq. 2),
and, according to the wind rose diagram (Fig. 3a), the prevailing wind
directions at this site were northwesterly and southeasterly. Therefore, we
chose an ellipse to enclose the scatters and simulate the footprint
(Fig. 3b). Under unstable conditions, 93 % of the half-hourly flux data
are plotted within the ellipse.</p>
      <p>Additionally, we measured the boundary of zone B in October 2013 when the
land use/cover condition in zone B had stopped changing (Fig. 3b). There
were 11 pixels (250 m <inline-formula><mml:math id="M222" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 m) in zone A and 19 pixels (250 m <inline-formula><mml:math id="M223" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 m) in zone B,
and thus, when calculating the weight-averaged
NDVI (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> within the footprint, we chose the
weighted coefficient as <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn>11</mml:mn><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn>11</mml:mn><mml:mo>+</mml:mo><mml:mn>19</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Diagrams of the wind rose and footprint: <bold>(a)</bold> wind rose of
the study site by using half-hourly wind speed and wind direction data
and <bold>(b)</bold> simulated footprint by ellipse (the long axis is 1682 m,
and the short axis is 1263 m; zone A is the source area in which the land
use/cover condition did not change, while zone B is the source area in which
the land use/cover condition did change due to human activities; the white
triangle is the flux tower).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f03.png"/>

        </fig>

      <p>EC system performance was assessed by the energy balance closure which was
calculated by conducting the linear regression between available energy
(<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the sum of surface fluxes (<inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula><italic>E</italic><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> <italic>H</italic>), which is also used to examine the
quality of flux data (Wilson et al., 2002). The linear regression yielded a
slope of 0.87, an intercept of <inline-formula><mml:math id="M229" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.42 W m<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and an <italic>R</italic><inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of
0.82. These indicators suggested that the measurements at our experimental
site provided reliable flux data and that the EC measurements underestimated
the sum of the surface fluxes to the extent of 13 %. Many researchers have
investigated energy imbalance (Barr et al., 2006; Wilson et al., 2002;
Franssen et al., 2010), and there is a consensus that it is difficult to
examine the exact reasons for the imbalance.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Characteristics of environmental variables</title>
      <p>A brief summary of key environmental variables is presented in this section.
Four-year and long-term (1954–2014) average monthly values of
<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <italic>P</italic> are shown
in Fig. 4. Monthly <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was much higher than the long-term
average monthly values, except in July and September. The highest value of
<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was observed in May (299.5 h) and the lowest was observed
in February (206.6 h). The seasonal characteristics of <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed
a highly similar pattern to that of long-term average monthly values, and the
differences were less than 1 <inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, except in July, January, and March.
The highest value of <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was observed in July (22.1 <inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)
and the lowest was observed in December (<inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.1 <inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The values of
<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were almost lower than the long-term average monthly values,
especially in March and April. The highest <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was observed in
September (65.4 %) and the lowest was observed in March (35.1 %). The
seasonal distributions of <italic>P</italic> were consistent with the long-term
average monthly values, and 89.7 % of <italic>P</italic> occurred in the growing
season. <italic>P</italic> was highest in July (120.5 mm) and lowest in January
(0.3 mm).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Seasonal characteristics of 4-year and long-term (1954–2014, from
Yulin meteorological station) average monthly values of <bold>(a)</bold> sunshine
duration (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>;  <bold>(b)</bold> air temperature
(<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; <bold>(c)</bold> relative humidity (<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>;
and <bold>(d)</bold> total precipitation (<italic>P</italic>).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f04.png"/>

        </fig>

      <p>The inter-annual characteristics of daily <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, groundwater level (GWL), and total
<italic>P</italic> in the growing season of each period are listed in Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Daily air temperature (<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C),
relatively humidity (<inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,  %), total sunshine duration
(<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, h), soil water content of the root zone
(<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, m<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the groundwater level (GWL, m), and total precipitation
(<italic>P</italic>, mm) in 1954–2014 and in the growing season of each period
(because there were some missing data in Period IV (from 12 September to 23 November 2014 and from 13 March  to 22 April 2015), we excluded
data in these two time ranges of Periods I–III and 1954–2014).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Variable</oasis:entry>  
         <oasis:entry colname="col2">1954–2014</oasis:entry>  
         <oasis:entry colname="col3">I</oasis:entry>  
         <oasis:entry colname="col4">II</oasis:entry>  
         <oasis:entry colname="col5">III</oasis:entry>  
         <oasis:entry colname="col6">IV</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col2">19.8</oasis:entry>  
         <oasis:entry colname="col3">19.6</oasis:entry>  
         <oasis:entry colname="col4">20.4</oasis:entry>  
         <oasis:entry colname="col5">19.9</oasis:entry>  
         <oasis:entry colname="col6">19.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (%)</oasis:entry>  
         <oasis:entry colname="col2">57.7</oasis:entry>  
         <oasis:entry colname="col3">57.3</oasis:entry>  
         <oasis:entry colname="col4">54.9</oasis:entry>  
         <oasis:entry colname="col5">53.4</oasis:entry>  
         <oasis:entry colname="col6">52</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (h)</oasis:entry>  
         <oasis:entry colname="col2">213.3</oasis:entry>  
         <oasis:entry colname="col3">220.7</oasis:entry>  
         <oasis:entry colname="col4">215.8</oasis:entry>  
         <oasis:entry colname="col5">218.2</oasis:entry>  
         <oasis:entry colname="col6">220.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M263" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> (mm)</oasis:entry>  
         <oasis:entry colname="col2">329.8</oasis:entry>  
         <oasis:entry colname="col3">357.1</oasis:entry>  
         <oasis:entry colname="col4">384.1</oasis:entry>  
         <oasis:entry colname="col5">330.2</oasis:entry>  
         <oasis:entry colname="col6">199.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m<inline-formula><mml:math id="M265" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">0.077</oasis:entry>  
         <oasis:entry colname="col4">0.077</oasis:entry>  
         <oasis:entry colname="col5">0.076</oasis:entry>  
         <oasis:entry colname="col6">0.064</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">GWL (m)</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M267" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.8</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M268" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.6</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.0</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M270" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p><?xmltex \hack{\newpage}?>The values of <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <italic>P</italic>, and
<inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the growing season of Period IV were the lowest
compared to those in the other three periods. Periods I–III were all
wet years, while Period IV was a dry year. The values of <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
in Periods I–III were similar; however, <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreased by
0.0113 m<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Period IV. The mean GWL in Period III was the
shallowest.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <?xmltex \opttitle{Seasonal variations in \textit{E}${}_{\mathrm{T}}$ due to climate variability and
vegetation phenology}?><title>Seasonal variations in <italic>E</italic><inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> due to climate variability and
vegetation phenology</title>
      <p>The seasonal curve of <italic>E</italic><inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> in each year had a single peak
value (Fig. 5a), with higher <italic>E</italic><inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> appearing mostly in the
growing season, while lower <italic>E</italic><inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> appeared in the
non-growing season. The daily <italic>E</italic><inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> ranged from
0.0 mm day<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 6.8 mm day<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the four periods; the
highest <italic>E</italic><inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> was observed on 22 June 2013, which was the
day after a continuous rainfall event that extended from 19 to 21 June 2013
(90.3 mm). The lowest <italic>E</italic><inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> appeared on 28 November 2012,
which was in the frozen period (late November to early March at our study
site). On rainy days, <italic>E</italic><inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula> (Fig. 5b) was low due to low
net radiation and air temperature. <italic>E</italic><inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula> ranged from
0.2 mm day<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in December 2011 to 17.9 mm day<inline-formula><mml:math id="M290" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
September 2013.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Seasonal and inter-annual characteristics of
daily <bold>(a)</bold> evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, mm); <bold>(b)</bold> potential evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>, mm); <bold>(c)</bold> NDVI in zone A and zone B within
the footprint; <bold>(d)</bold> the soil water stress of the root zone
(<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>; and <bold>(e)</bold> the groundwater level (GWL, m) from
1 July 2011 to 30 June 2015.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f05.jpg"/>

        </fig>

      <p>The seasonal NDVI curve for natural land use/cover conditions (in zone A
during Periods I–IV and in zone B during Period I) represented the process
of natural vegetation phenology, and it had a single peak value in each year
(Fig. 5c). In early May, the seasonal NDVI curve began to increase as the
native vegetation entered the growing season, and a maximum value
(0.27 <inline-formula><mml:math id="M294" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01) was reached in July or August. In the winter, the
daily NDVI remained relatively constant (0.13 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01). <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(Fig. 5d) increased rapidly in response to rainfall events of more than 5 mm
a day and decreased rapidly 1 or 2 days after rainfall events. From late
November to early March, there was a frozen period when the soil water
content was below the wilting point. The groundwater level changed obviously
in the monsoon season (July to September) and mildly in the winter (December
to February).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>The correlations between daily evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, mm) and its controlling factors: <bold>(a)</bold> daily
potential evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>, mm); <bold>(b)</bold> daily weight-averaged NDVI
(<inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> within the footprint; and <bold>(c)</bold> daily soil
water stress of the root zone (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in Period I by excluding the
data on rainy days (<inline-formula><mml:math id="M301" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>: Pearson's correlation coefficient; <inline-formula><mml:math id="M302" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: <inline-formula><mml:math id="M303" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test
significance).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f06.png"/>

        </fig>

      <p>The linear correlations between <italic>E</italic><inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and the three controlling
factors all passed the <inline-formula><mml:math id="M305" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test at a 95 % confidence level. The <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
value of the correlation between <italic>E</italic><inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">B</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was the largest,
indicating that NDVI was highly correlated with the daily variations in
<italic>E</italic><inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. To better quantify the effects of the phenological process
on <italic>E</italic><inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, the correlation between daily <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Period I was analyzed (Fig. 7a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Quantitative analysis of the correlations
between <bold>(a)</bold> vegetation phenological change (<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
and daily normalized <italic>E</italic><inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in Period I (excluding the data
on rainy days and frozen days) and <bold>(b)</bold> the indicator of land
use/cover change (<italic>D</italic><inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">lu</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and total normalized
<italic>E</italic><inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the growing season of each
period.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/863/2017/hess-21-863-2017-f07.jpg"/>

        </fig>

      <p>A positive linear regression was found between <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 7a). The slope of the linear regression
was used to evaluate the degree of the correlation between <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and the vegetation phenological process. We found that when
<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased by 1 unit, <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased by approximately 1.86 units.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <?xmltex \opttitle{Inter-annual variations in \textit{E}${}_{\mathrm{T}}$ due to land use/cover
change}?><title>Inter-annual variations in <italic>E</italic><inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> due to land use/cover
change</title>
      <p>During the four periods, in zone A, the NDVI values of each period were
similar because the land use/cover condition did not change, while in zone B,
the peak values of NDVI first declined from 0.28 to 0.15 (Period I to
Period III) due to the land use/cover condition changing from mixed
vegetation to bare soil. The peak NDVI values then increased to 0.22
(Period IV) due to grass recovery (Fig. 5c). An interesting phenomenon was
observed accompanied by the changing process of land use/cover conditions:
<italic>E</italic><inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> in the growing season gradually increased from
Period I to Period III (Table 2), while it increased greatly in Period IV
even with less precipitation, because a mass of soil water and groundwater
was consumed to satisfy the <italic>E</italic><inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> demand (Fig. 5e).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Typical values of total evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, mm), total potential evapotranspiration
(<italic>E</italic><inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>, mm), the indicator of land use/cover change
(<inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, %), the soil water stress of the root zone
(<inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and normalized <italic>E</italic><inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the growing
season of each period (because there were some missing data in Period IV
(from 12 September to 23 November 2014 and from 13 March to 22 April 2015),
we removed the values of <italic>E</italic><inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, <italic>E</italic><inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>,
and <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in these two time ranges of Periods I–III).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Period</oasis:entry>

         <oasis:entry colname="col3"><italic>E</italic><inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>   (mm)</oasis:entry>

         <oasis:entry colname="col4"><italic>E</italic><inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>   (mm)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>   (%)</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>   (dimensionless)</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>  (dimensionless)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1" morerows="3">Growing season</oasis:entry>

         <oasis:entry colname="col2">I</oasis:entry>

         <oasis:entry colname="col3">238.4</oasis:entry>

         <oasis:entry colname="col4">876.1</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M343" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>

         <oasis:entry colname="col6">0.62</oasis:entry>

         <oasis:entry colname="col7">78.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">II</oasis:entry>

         <oasis:entry colname="col3">236.5</oasis:entry>

         <oasis:entry colname="col4">870.7</oasis:entry>

         <oasis:entry colname="col5">4.6</oasis:entry>

         <oasis:entry colname="col6">0.63</oasis:entry>

         <oasis:entry colname="col7">79.9</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">III</oasis:entry>

         <oasis:entry colname="col3">292.1</oasis:entry>

         <oasis:entry colname="col4">956</oasis:entry>

         <oasis:entry colname="col5">10.4</oasis:entry>

         <oasis:entry colname="col6">0.59</oasis:entry>

         <oasis:entry colname="col7">86.3</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">IV</oasis:entry>

         <oasis:entry colname="col3">332.2</oasis:entry>

         <oasis:entry colname="col4">937</oasis:entry>

         <oasis:entry colname="col5">6</oasis:entry>

         <oasis:entry colname="col6">0.37</oasis:entry>

         <oasis:entry colname="col7">111.9</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Compared with Period I, <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in Period II and Period III
gradually increased, while <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Period IV decreased.
Taking August in each period as an example, in Period I,
<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was 0.2 %, while in Periods II–IV,
<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were 2.9, 12.6, and 8.6 %, respectively. In
order to eliminate the influence of vegetation phenological change
on <italic>E</italic><inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, we chose the growing season of each period to analyze
the correlation between <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>The quantitative results of the correlation between <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">lu</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are shown in Fig. 7b. From Period I to Period III, as land
surface characteristics changed (the natural vegetation in zone B was
cleared, the fixed and semi-fixed sand dunes were bulldozed, and the BSCs and
dry sand layers disappeared), <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, and this increase
was more evident in Period III (from 78.5 to 88.1). When the land use/cover
conditions in zone B gradually changed from bare soil to sparse grassland due
to the self-restoring capacity of nature, <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased
significantly (from 88.1 to 111.3).</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <?xmltex \opttitle{Implications of the effects of phenological change on
\textit{E}${}_{\mathrm{T}}$}?><title>Implications of the effects of phenological change on
<italic>E</italic><inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula></title>
      <p>The correlations between <italic>E</italic><inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and its controlling factors
suggest that at our experimental site, <inline-formula><mml:math id="M357" display="inline"><mml:mi mathvariant="normal">NDVI</mml:mi></mml:math></inline-formula> is the predominant
factor that influences the seasonal variations in <italic>E</italic><inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. The
positive linear relationship between <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and NDVI suggests that
transpiration is likely controlled by the stomatal conductance and the
numbers of stomata, which are proportional to the leaf area (Pearcy et al.,
1989; Turrell, 1947), rather than the atmospheric water demand represented
by <italic>E</italic><inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">TP</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p>Various studies have assessed the correlation between vegetation phenological
change and <italic>E</italic><inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, and these results generally reflected
consistent and positive linear relationships (Nouri et al., 2014; Rossato et
al., 2005; Duchemin et al., 2006; Glenn et al., 2007). However, for different
vegetation species, phenological change has effects on
<italic>E</italic><inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> to different degrees. Relatively strong regressions
between NDVI and <italic>E</italic><inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> have been reported at forested sites
(Loukas et al., 2005; Nouri et al., 2014; Lo Seen Chong et al., 1993) and
grass-covered sites (Kondoh and Higuchi, 2001; Nouri et al., 2014), with
determination coefficients higher than 0.7. These results reflect the strong
control between phenological changes and <italic>E</italic><inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. Thus, we
speculate that for high vegetated ecosystems, phenological change may have a
significant control on <italic>E</italic><inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. However, in low vegetated
ecosystems such as the sparse shrubland in this study, the relationship
between <italic>E</italic><inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and phenological change is thus positive but
relatively weak.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Possible reasons for the effects of land use/cover changes</title>
      <p>During Periods I–IV, the land use/cover conditions at our experimental site
underwent changes associated with two processes: land degradation process
(Periods II–III) and vegetation rehabilitation process (Period IV). Notable
results were observed during these two processes: (1) <italic>E</italic><inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> and
normalized <italic>E</italic><inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> values both increased and (2) normalized
<italic>E</italic><inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> increased much faster during the vegetation rehabilitation
process than it did during the land degradation process.</p>
      <p>The effect of phenological change on <italic>E</italic><inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> demonstrates
that <italic>E</italic><inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decreases with leaf browning. Thus, we expect
that <italic>E</italic><inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> will also decrease if leaves are cleared by
human activities. However, during Periods II–III, not only were leaves
cleared, but other land surface properties were also changed (all branches
were cut, sand dunes (fixed and semi-fixed) were bulldozed, and the dry sand
layers and BSCs were destroyed), resulting in complex land use/cover
conditions. These altered land surface properties might contribute to the
increase in <italic>E</italic><inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. Previous studies demonstrated that dry
sand layers and BSCs could effectively restrict the soil evaporation rate (Z.
Wang et al., 2006; Lv et al., 2006; Liu et al., 2006; Dong et al., 1999;
Yang et al., 2015; Fu et al., 2010; Liu, 2012). However, the bulldozing of
sand dunes at our experimental site made the elevation of the flat soil
surface lower than the average elevation of the undisturbed soil surface
(approximately 1.5 m lower, Fig. 2d), making the groundwater depth much
shallower than the pre-disturbance depth. Thus, the formation of dry sand
layers was restricted due to the shallow groundwater level. In this situation
with the destroyed BSCs and the disappeared dry sand layers, the sufficient
groundwater supply (Li and Li, 2000) accelerated the loss of water that was
stored in shallow soil through evaporation. The enhanced soil evaporation
offset the inhibiting effect of transpiration due to leaves clearing, which
made <italic>E</italic><inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> increase.</p>
      <p>A secondary reason for the increase in soil evaporation was that the soil
layer absorbed more solar radiation during the land degradation process. In
Period I, the radiation absorbed by the shadowed soil was the solar radiation
transmitted into the canopy of shrubs and grass. However, when the natural
vegetation was cleared, the leaves and the branches were also removed, which
made the shadowed soil exposed and enhanced the radiation absorbed by the
soil, thereby increasing soil evaporation (Martens et al., 2000; Panferov et
al., 2001). Moreover, the removal of leaves and branches and the
disappearance of sand dunes both altered the land surface albedo, which could
have directly altered the solar radiation absorbed by the land surface
(Dirmeyer and Shukla, 1994; Greene et al., 1999), subsequently leading to the
change in <italic>E</italic><inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p>Some inconsistent results regarding the <italic>E</italic><inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> dynamics
during land degradation process were reported. A portion of studies reported
that <italic>E</italic><inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decreased during the land degradation process
for different reasons. For example, Souza and Oyama (2011) and Snyman (2001)
demonstrated that <italic>E</italic><inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> decreased during the land
degradation process due to decreased transpiration in semiarid regions. Lu et
al. (2011) considered that the low soil water content was the main reason for
the decrease in <italic>E</italic><inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> during the land degradation process.
Mao and Cherkauer (2009) also reported a decrease in <italic>E</italic><inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
when the land use/cover condition was converted from forest to grass or
cropland in the Great Lakes region. However, contrasting results were also
reported regarding the effects of land degradation on
<italic>E</italic><inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. Hoshino et al. (2009) found that there was no
difference in <italic>E</italic><inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> during the land degradation process
associated with overgrazing in a semiarid Mongolian grassland, and they
hypothesized that the reason for this lack of change might be the short
grazing time (2 years). Li et al. (2013) demonstrated that the warming air
temperature was the main cause of increased <italic>E</italic><inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> during
the land degradation process on the Qinghai–Tibet Plateau. Throughout the
above studies of <italic>E</italic><inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> during land degradation processes,
we found it difficult to accurately describe the trends in
<italic>E</italic><inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, even when the land degradation was only manifested
by less vegetation coverage. Therefore, at our study site with complex land
surface properties (sand dunes, dry sand layers, and BSCs), the effect of
land degradation on <italic>E</italic><inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> was much more complicated.</p>
      <p>During the vegetation rehabilitation process (Period IV), <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased significantly due to the rehabilitation of grass in zone B, even
though less precipitation was observed compared with other periods
(Periods I, II, and III). The rehabilitation of grass, rather than shrubs,
was due to the sufficient groundwater supply, which resulted from bulldozing
the sand dunes. Previous researchers reported that sparse shrubs more
commonly grew at the top of sand dunes and that grass grew at the bottom of
sand dunes because the difference between groundwater level and the top of
sand dunes was larger than that between groundwater level and the bottom of
the sand dunes (Lv et al., 2006; Dong et al., 1999). Because transpiration
increases with vegetation greening (as demonstrated in Sect. 4.3), the
regrowing grass would enhance plant transpiration supplied by the sufficient
groundwater. More importantly, the transpiration rate of grass is higher than
that of shrubs because shrubs are easier to survive in water-limited
conditions (Yang et al., 2014; Wang et al., 2002; Wu, 2006). Therefore, in
the vegetation rehabilitation process, the enhancement of the transpiration
rate in Period IV was much higher than that in Periods I–III. Similar
conclusions regarding increased <italic>E</italic><inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> due to the enhanced
transpiration during the vegetation rehabilitation process were reported (Qiu
et al., 2011; Yang et al., 2014; Sun et al., 2006; Li et al., 2009).
Meanwhile, the regrowing grass could reduce the radiation absorbed by the
soil and hence reduce soil evaporation. However, the interception of
radiation by the grass canopy was expected to be smaller than that by the
mixed shrub and grass canopy in Periods I–III because the leaf area index of
grass was smaller than the sum of leaf area and stem area indexes of the mix
of shrubs and grass. Therefore, the reduction in soil evaporation in
Period IV might be small compared with the increase in soil evaporation in
Periods I–III.</p>
      <p>We noticed that the GWL decreased continuously from Period III to Period IV
due to the enhanced <italic>E</italic><inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> by the regrowth of grass and relative
low precipitation, and the regrowing grass has a higher transpiration rate
than that of the native mixed shrub and grass. Therefore, we hypothesize
that if the land use/cover condition of zone B continues to be grassland
over the next several years, the groundwater level will decrease due to the
larger consumption, making the soil water condition gradually become poorer
for the growth of grass. Then, in this situation, the grassland is expected
to degrade to shrubland in zone B because shrubs are easier to survive in
water-limited ecosystems. Furthermore, in the next few years, potatoes will
be planted in zone B. However, the water requirement of potato is more than
320 mm in the growing season (Qin et al., 2013; Liu et al., 2010) and the
water consumption is more than that of natural grass (Qin et al., 2013,
2014; Hou et al., 2010). Thus, irrigation is necessary for planting potatoes
during the growing season in water-limited ecosystems (Liu et al., 2010; Fabeiro et al., 2001). Our results imply that the
groundwater level might continue to decrease faster with the growth of
potatoes in the future, which may lead to a more fragile ecosystem.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusion</title>
      <p>In this study, seasonal and inter-annual features of <italic>E</italic><inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>
were analyzed. Daily <italic>E</italic><inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> was in a range from 0.0 to
6.8 mm day<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the four periods. <inline-formula><mml:math id="M393" display="inline"><mml:mi mathvariant="normal">NDVI</mml:mi></mml:math></inline-formula> was the
predominant factor that influences the seasonal variations in
<italic>E</italic><inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>, and vegetation greening had a positive effect on
<italic>E</italic><inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. During the land degradation process
(Periods II–III), when natural vegetation (including leaves and branches),
sand dunes, dry sand layers, and BSCs were all bulldozed,
<italic>E</italic><inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> increased at a mild rate. During the vegetation
rehabilitation process (Period IV) with less precipitation,
<italic>E</italic><inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> increased at a faster rate than that in the
degradation process. Our study demonstrated that when the land use/cover
condition was changed by human activities, the underlying mechanisms that
influence <italic>E</italic><inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula> were complex, and vegetation type,
topography, and soil surface characteristics may all contribute to the
changes in <italic>E</italic><inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math></inline-formula>. Furthermore, our results suggest that
when we simulate the effects of land use/cover change on hydrological
processes, the vegetation factor might not be the unique factor to
parameterize; instead, the integrated effects of land surface and vegetation
conditions should be considered. Our study also provides a scientific
reference to the regional sustainable management of water resources in the
context of intensive agricultural reclamation.</p>
</sec>
<sec id="Ch1.S7">
  <title>Data availability</title>
      <p>Due to the shorter observational time, the measured data in our flux station
are not directly open to the public. However, the readers can ask the authors
for the data.</p><?xmltex \hack{\vspace{-2mm}}?>
</sec>

      
      </body>
    <back><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><?xmltex \hack{\vspace{-3mm}}?><ack><title>Acknowledgements</title><p>This research was supported by the National Natural Science Foundation of
China (project no. 91225302), the National Key Research and Development
Program of China (2016YFC0402404 and 2016YFC0402406), the Basic Research Fund
Program of State key Laboratory of Hydroscience and Engineering (grant
no. 2014-KY-04) and the Basic Research Plan of Natural Science of Shaanxi
Province (2016JQ5105). We thank A. W. Jayawardena for language suggestions
and constructive comments of the manuscript.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: F. Fenicia<?xmltex \hack{\newline}?> Reviewed by: D. Guo and one anonymous
referee</p></ack><ref-list>
    <title>References</title>

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<abstract-html><p class="p">Evapotranspiration (<i>E</i><sub>T</sub>) is an important process in the
hydrological cycle, and vegetation change is a primary factor that affects
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eddy covariance (EC) measurement over 4 years (1 July 2011 to
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predominant factor that influences the seasonal variations in
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rehabilitation processes, <i>E</i><sub>T</sub> and normalized <i>E</i><sub>T</sub>
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type, topography, and soil surface characteristics. This study could improve
our understanding of the effects of land use/cover change on
<i>E</i><sub>T</sub> in the fragile ecosystem of semiarid regions and provide a
scientific reference for the sustainable management of regional land and
water resources.</p></abstract-html>
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