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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-21-295-2017</article-id><title-group><article-title>Attributing regional trends of evapotranspiration and gross primary
productivity with remote sensing: a case study<?xmltex \hack{\newline}?> in the North
China Plain</article-title>
      </title-group><?xmltex \runningtitle{Attributing regional trends of evapotranspiration}?><?xmltex \runningauthor{X.~Mo et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Mo</surname><given-names>Xingguo</given-names></name>
          <email>moxg@igsnrr.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Xuejuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hu</surname><given-names>Shi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Liu</surname><given-names>Suxia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xia</surname><given-names>Jun</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Water Cycle &amp; Related Land Surface Processes, Institute
of Geographic Sciences and Natural Resources Research, Chinese Academy of
Sciences, Beijing 100101, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Resources and Environment, University of Chinese Academy of
Sciences, Beijing, 100190, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xingguo Mo  (moxg@igsnrr.ac.cn)</corresp></author-notes><pub-date><day>16</day><month>January</month><year>2017</year></pub-date>
      
      <volume>21</volume>
      <issue>1</issue>
      <fpage>295</fpage><lpage>310</lpage>
      <history>
        <date date-type="received"><day>18</day><month>August</month><year>2016</year></date>
           <date date-type="rev-request"><day>1</day><month>September</month><year>2016</year></date>
           <date date-type="accepted"><day>1</day><month>December</month><year>2016</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/21/295/2017/hess-21-295-2017.html">This article is available from https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017.pdf</self-uri>


      <abstract>
    <p>Attributing changes in evapotranspiration (ET) and gross primary productivity
(GPP) is crucial for impact and adaptation assessment of the agro-ecosystems
to climate change. Simulations with the VIP model revealed that annual ET and
GPP slightly increased from 1981 to 2013 over the North China Plain. The
tendencies of both ET and GPP were upward in the spring season, while they
were weak and downward in the summer season. A complete factor analysis
illustrated that the relative contributions of climatic change, CO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
fertilization, and management to the ET (GPP) trend were 56 (<inline-formula><mml:math id="M2" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32) %,
<inline-formula><mml:math id="M3" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28 (25) %, and 68 (108) %, respectively. The decline of global
radiation resulted from deteriorated aerosol and air pollution was the
principal cause of GPP decline in summer, while air warming intensified the
water cycle and advanced the plant productivity in the spring season.
Generally, agronomic improvements were the principal drivers of crop
productivity enhancement.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Terrestrial hydrological and carbon cycles are intimately coupled via
transpiration and photosynthesis processes which are regulated by plant leaf
stomata. Due to land use/cover changes, intensified agricultural management,
and climatic change, terrestrial eco-hydrological processes have been
noticeably shifted on multiple spatiotemporal scales (Tian et al., 2011;
Douville et al., 2013); for example, prevailing irrigation and application of
chemical fertilizers have raised soil moisture, evapotranspiration (ET), and
crop productivity, etc. In some regions the effects of human activities are
the same magnitude as, or even exceed, the impacts of global warming on the
productions of agro-ecosystems (Haddeland et al., 2014). In the last decades,
global consumptive water use and carbon fixation by terrestrial ecosystems
have been demonstrated to slightly increase with more efficient water use,
corresponding to changes in climatic factors and the fertilization effect of
elevated atmospheric CO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (Yan et al., 2013; Nayak et al.,
2013). Consequently, spatiotemporal patterns of water and carbon fluxes on
the regional scale are changing under global change (Zeng et al., 2014; Liu
et al., 2012).</p>
      <p>As ET is the major component of water budget in the water-limited basins, its long-term tendency
has been taken as a critical indicator for diagnosing the intensification of
the regional water cycle. The complementary relationship between actual and
potential ET may reveal some clues to hydrological changes. Observations
illustrated that potential evaporation rates (ET<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (represented as
pan evaporation) decreased in Europe, the US, China, India, and Australia in
recent decades (Brutsaert, 2006; Katul et al., 2012), implying the decline of
available energy and aerodynamics devoted to latent heat flux over the land
surface. The climatic factors dominating ET<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> change are usually
diverse. For example, over the North China Plain (NCP) the changes in
ET<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> are mainly attributed to declines in global radiation and
near-surface wind speed (Tang et al., 2011; Song et al., 2009). However, in
southern Turkey a noticeable decline in ET<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> was attributed to
enhanced air humidity associated with the expansion of irrigation acreage and
more water evaporated into the atmospheric boundary layer (Ozdogan and
Salvucci, 2004). Burn and Hesch (2007) revealed that decreasing wind speed
and raised water vapour deficit responded to the trend of ET<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> in
the Canadian Prairies. On a large scale, precipitation is usually the
principal factor determining actual ET change; for example, Qian et
al. (2007) showed that an increase in ET in the Mississippi River basin
followed precipitation propensity, while the effects of solar radiation and
air temperature changes were minor.</p>
      <p>Terrestrial eco-hydrological processes are driven by climate and modulated by
human activities. Generally climate warming enhances atmospheric evaporative
demand, while CO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization stimulates photosynthesis and inhibits
leaf stomatal conductance, leading to more biomass accumulation and higher
water productivity (Field et al., 1995; Buckley and Mott, 2013).
Simultaneously, land use change and land management also noticeably affect
the ecosystem production and hydrological fluxes (Shi et al., 2011).
Separating the contributions of climatic change, CO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment, and
human activities to the long-term trends of water and carbon cycles is
critical for assessment of ecosystem responses and resilience to
environmental changes. Some researchers have explored the relative
contributions of climate change and vegetation dynamics to changes in global
land surface evapotranspiration and river runoff (Betts et al., 2007; Piao et
al., 2007; Alkama et al., 2010; Liu et al., 2012; Chen et al., 2014, 2015;
Banger et al., 2015), but the conclusions are still inconsistent. Climate
change dominated the inter-annual variability of ET, while land use changes
and agricultural practices and techniques exerted more discernable effects on
the water cycle in the long term (Liu et al., 2012). However, Alkama et
al. (2010) and Shi et al. (2011) demonstrate that climate change is the
predominant driver of the global ET tendency in the 20th century. Commonly,
the contributions of climate change to vegetation productivities on a large
scale are quantified by the ecosystem models or statistical models. For
example, Piao et al. (2015) documented that elevated atmospheric CO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
nitrogen deposition were the critical contributors to terrestrial greening
over China; Baker et al. (2010) figured out that climate anomalies in
springtime were the most frequent drivers of annual GPP variations in North America; Nayak et al. (2013)
reported that climate change had a relatively small but significant control
(15 %) on the trend of terrestrial net primary production (NPP) over
India. In the crop ecosystems, contributions of climate change, cultivar
renewal, and agronomic management to change in crop yield have been separated
with the crop or statistical models (Yu et al., 2012; Song et al., 2014; Bai
et al., 2016; Guo et al., 2014; Z. Wang et al., 2016). The impacts of climate
change on crop yield may be positive or negative in different regions,
depending on the tendencies of the dominant factors (Ewert et al., 2015).</p>
      <p>As one of the granaries in China, the North China Plain (NCP) is
confronted with challenges of
agriculture sustainability due to global change and social and economic
development. Thereby, it is crucial to understand the impacts of climate
change on the productions of cropping systems. Over the plain, a winter
wheat–summer maize double cropping system prevails, supported by irrigation,
fertilizer, and agronomic techniques. In situ measurements, agricultural
annals, and the regional remotely sensed vegetation index dataset all
illustrate that both wheat and maize productivities have accrued remarkably
since the 1970s (Mo et al., 2009; Yuan and Shen, 2013); correspondingly, the
seasonal water consumption and water use efficiency are also slightly
improved (Zhang et al., 2011). The achievement of long-term increasing grain
production is related to the active adoption of new varieties for
stabilization, extending the length of the crop growth period, as well as
agronomic technique advancement (Liu et al., 2010; Sacks and Kucharik, 2011).
Currently, water amount for food production consists of 65 % of total
water consumption here. Further, along with the gradually augmented domestic
and industrial water requirement, groundwater in some areas of the plain has
been overexploited, and the environmental water requirement is generally
under deficit conditions (e.g. MWR, 2010). Faced with the rapid deteriorating
agricultural environment, some critical issues are still unclear, such as
what mechanisms drive the evolutions of eco-hydrological processes over the
plain? What are the impacts of climate change on the cropping systems?</p>
      <p>In this study, the VIP eco-hydrological dynamic model integrated with the
NOAA-AVHRR remotely sensed normalized difference of vegetation index (NDVI)
is employed to assess the spatiotemporal evolutions of ET and vegetation GPP
over the NCP from 1981 to 2013. By numerical experiments with the VIP model
and the factor separation method, the contributions of climate change,
fertilization of atmospheric CO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment, agronomic practices, and
technological advancement to crop water consumption and productivity are then
analysed and the relevant mechanisms are discussed.</p>
</sec>
<sec id="Ch1.S2">
  <title>Method and materials</title>
<sec id="Ch1.S2.SS1">
  <title>Study region</title>
      <p>The NCP is one of the country's granaries, extending from latitude
32<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>00<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> to 40<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>24<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N and longitude 112<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>48<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> to
122<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>45<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E (Fig. 1a, b). It is located in the eastern part of
China, with an area of 40 <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> km<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, which is an alluvial
plain developed by the intermittent flooding of the Huang, Huai, and Hai
rivers, and 85 % is cultivated as farmland. The warm temperate climate
varies gradually from sub-humid in the southern to semi-arid in the northern
parts. The annual precipitation ranges from 500 to 1000 mm, occurring
irregularly among the seasons, and more than 70 % falls in summer. Soil
moisture deficit happens widely during the spring and early summer period.
Besides soybean/millet/sorghum/cotton, the double cropping system of winter
wheat–summer maize prevails in the plain, where wheat and maize are the most
common harvest crops in the summer and autumn seasons, respectively. Due to
insufficient precipitation, the spring crops (such as wheat) usually need
supplemental irrigation to form favourable production.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Land use/cover <bold>(a)</bold> and soil texture <bold>(b)</bold> of the
North China Plain (NCP) (DBF: deciduous broadleaf forest; BNF: broadleaf and
needleleaf mixed forest; ENF: evergreen needleleaf forest; EBF: evergreen
broadleaf forest).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>The VIP eco-hydrological model</title>
      <p>The physical-process-based VIP (Vegetation Interface Processes)
eco-hydrological model is designed to simulate the exchanges of energy,
water, and carbon between the terrestrial ecosystem and the atmosphere (Mo et
al., 2014). In the model, ET is termed the summation of canopy transpiration
and evaporation from the canopy intercept and the soil surface, computed
separately with the Penman–Monteith equation. Transpiration and
photosynthesis processes are coupled through the Ball–Berry relationship
between leaf stomatal conductance and net assimilation rate. Regarding the
carbon cycle aspect, leaf carbon fixations on sunlit and shaded leaves
are predicted with the biochemical schemes for C3 (Farquhar et al., 1980) and
C4 plants (Collatz et al., 1992). In the radiation budget scheme, shortwave
radiation transfer in the canopy distinguishes the leaf spectral properties
of visible and near-infrared radiation, as well as the fraction of direct
beam and diffusive irradiance in global radiation. Precipitation
throughfall–runoff generation over the land surface is calculated with a
curve-number (CN) type equation on a daily scale, using the daily net
precipitation and the moisture deficit of the upper soil layer. Simulation of
soil water movement in the root zone is carried out with a discrete Richards
equation in three layers. The crop and natural vegetation growth modules are
also embedded in the model to simulate the biomass accumulation and
carbon cycle.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data</title>
      <p>The VIP model input data include land use/cover, soil physical properties,
and atmospheric forcing variables. The GIMMS AVHRR 15-day normalized
difference of vegetation index time series (NDVI3g; values are scaled by 1000)
(<uri>https://nex.nasa.gov/nex/projects/1349/wiki/general_data_descriptionand_access/</uri>)
(Pinzon and Tucker, 2014) from 1981 to 2013 is used to retrieve the
vegetation leaf area index and other land surface characteristics. The land
use classification originates from both Landsat TM images
(<uri>www.resdc.cn</uri>) and MODIS remote sensing products, in which the farmland
is classified as rice paddy and dryland. Soil textural data are available on
a scale of 1 : 1 000 000 represented as fractions of sand, silt, and
clay, by which the parameters of soil porosity (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>sat</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
saturated hydraulic conductivity (<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mtext>ws</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, mm s<inline-formula><mml:math id="M27" 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> are estimated
as in Bonan (1996). Daily climate variables (air temperature, water vapour
pressure, wind speed, sunshine duration, and precipitation) recorded at 87
climatic stations (<uri>http://data.cma.cn</uri>) in and around the study area are
available for generating the spatial atmospheric forces. The NDVI data are
error-checked and the erroneous data are replaced by interpolation with the
preceding and subsequent values according to the time series by the
Savitzky–Golay (SG) filter (Savitzky and Golay, 1964), and then the daily
values are derived with the Lagrange polynomial. Vegetation leaf area index
(LAI) is retrieved from the NDVI with empirical relationships for different
plant functional types.</p>
      <p>The data used for model validation are field flux measurements with an eddy
covariance technique at the Yucheng (116<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E, 36<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>57<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N), Daxing (116<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>25<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E, 39<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>37<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N), Miyun
(117<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>19<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E, 40<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N), and Guantao
(115<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>8<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E, 36<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>31<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N) sites over the plain. The
cropping systems at the Yucheng, Daxing, and Guantao sites are all rotation
of winter wheat–summer maize, while
land cover is dwarf shrub at the Miyun site. The eddy covariance data are
processed with general procedures (Liu and Xu, 2013; Liu et al., 2013). GPP
data are available only at the Yucheng site. In addition to eddy covariance
fluxes, grain yield records of wheat and maize in county statistics are also
used to verify the GPP predictions at the regional scale. The method of crop
yield converted to GPP follows Xin et al. (2015).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Model implementation and numerical experimental design</title>
<sec id="Ch1.S2.SS4.SSS1">
  <title>Simulation setup</title>
      <p>The model simulations were conducted at 8 km spatial resolution and a
half-hour time step. The cropland practices are classified into wheat–maize
and wheat–rice rotations. Atmospheric driving forces are interpolated from
daily meteorological variables recorded at the climatic stations to grid
cells with a gradient inverse distance square method (GIDS), which accounts
for the effects of elevation, latitude, and longitude (Nalder and Wein,
1998). Estimated with sunshine duration in a linear relationship, the global
radiation is subdivided into direct visible and near-infrared parts, as well
as direct beam and diffusive components with Weiss and Norman (1985). The
daily air temperature is extended to hourly values with a sinusoidal function
based on the daily maximum and minimum temperatures (Campbell and Norman,
1998). During the winter wheat growing period, irrigation water is supplied
when water storage in the root zone is below 60 % of the field capacity.
Summer maize is set to be irrigated not more than one time in its growth
period. The simulation is conducted with prescribed daily LAI series
retrieved from remotely sensed NDVI series for eco-hydrological prediction
from 1980 to 2013, in which the first year is taken as warming up.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <title>Separation of climate change and management effects</title>
      <p>By using a general function, <inline-formula><mml:math id="M44" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula>, the scalar fluxes (water vapour and carbon)
between land surface and the atmosphere are determined by climate factors
(<inline-formula><mml:math id="M45" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>), fertilization of elevated atmospheric CO<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (C), and agronomic
management and technological advancement (in this study we assume the
long-term trend of leaf area index (LAI) may represent the effects of human
activities on crop and natural ecosystems. Human activities
(also referred to as management practices) in the agro-ecosystem include
renewals of cultivars, irrigation facility improvement, fertilizer
application, soil quality amelioration, etc.), namely,
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M47" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mtext>LAI</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The changes in <inline-formula><mml:math id="M48" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> contributed by a single factor (expressed as <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
its interaction with another factor (expressed as <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> can be decomposed
by the Taylor expansion as

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M51" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">!</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mo>∂</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>x</mml:mi><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">⋯</mml:mi><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>n</mml:mi><mml:mi mathvariant="normal">!</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mo>∂</mml:mo><mml:mi>n</mml:mi></mml:msup><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>x</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mo>∂</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>∂</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">⋯</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>≠</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>) represent <inline-formula><mml:math id="M55" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, C, and LAI,
respectively. The factor separation methodology from Stein and Alpert (1993)
and Alkama et al. (2010) is used to categorize the contributions of climate
change, CO<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and LAI, as well as their interactions to
long-term trends of ET and GPP. Similar to Alkama et al. (2010), the total
effect, <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is expressed as
              <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M58" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            with

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M59" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the direct contributions of climate
change, atmospheric CO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment fertilization, and agronomic
management, respectively; <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the contribution of interactions of
climate change and CO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment; <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the contribution of
interactions between climate change and agronomic management; <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the
contribution of interactions between CO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization and agronomic
management; <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the contribution of interactions between climate
change, CO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and agronomic management.</p>
      <p>Seven numerical experiments designed to fully distinguish the contributions
of climate change, CO<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and agronomic management are
conducted by the VIP model over the NCP from 1980 to 2013. The experiments
are as follows:
<list list-type="order"><list-item><p><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“all factors”): current climate, CO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and LAI
spatiotemporal pattern;</p></list-item><list-item><p><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“climate change effect”): current climate, but the
atmospheric CO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration is fixed at year 1981, and the LAI pattern
is set as the multi-year average;</p></list-item><list-item><p><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“CO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization effect”): climate and LAI are fixed
at a specific year, but with the current CO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration;</p></list-item><list-item><p><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“management effect”): climate and CO<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration
are fixed at a specific year, but the current LAI pattern is used;</p></list-item><list-item><p><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“climate change and CO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization effects”):
LAI pattern is fixed, but the current climate and CO<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration are
used;</p></list-item><list-item><p><inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“climate change and management effects”): CO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration is fixed, but the current climate and LAI pattern are used; and</p></list-item><list-item><p><inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (“CO<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization and management effects”):
climate is fixed at 1981, but current CO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and LAI are used.</p></list-item></list>
The trends of annual ET and GPP in the above experiments are calculated,
and then, according to Eqs. (4) to (7),
the contributions of climate change and CO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization and management
practices to ET and GPP long-term trends are then separated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Comparisons of the
simulated daily ET with eddy covariance measurements.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f02.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Comparison of the simulated
GPP with eddy covariance measurements at the Yucheng site.</p></caption>
            <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f03.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Comparisons of the
predicted GPP and statistic yield derived GPP at county scale in 2000 and
2005.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f04.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Result analysis</title>
<sec id="Ch1.S3.SS1">
  <title>Model verification</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Validation with eddy covariance measurements</title>
      <p>The VIP model is used to simulate the hydrological, energy partitioning, and
crop growth processes at the four sites of eddy flux measurement. Here, eddy
covariance measurements of daily ET and GPP are employed to verify the model
predictions (ET is available at all the sites, but GPP is only available at
one site). The land surface characteristics surrounding the flux mast are
relatively homogeneous, ensuring the footprint for flux measurement. The
meteorological information measured at each site is used to drive the VIP
model. It is shown that the agreements are quite satisfactory for both ET and
GPP (Figs. 2 and 3). In total, there are 9-year daily ET data and 3-year
daily GPP data for comparison with the model simulations. The coefficients of
determination (<inline-formula><mml:math id="M90" 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> are above 0.76 for all the sites. On an annual scale,
the relative absolute biases of predicted ET ranged from 1.5 to 12.6 % in
the 9-year dataset, and biases of GPP are from 2.0 to 8.8 % in 3-year
data. Therefore, the model performance is quite good and reliable for
predictions of vegetation/crop productivity and water consumption. The biases
may have stemmed from both measurements and model parameter uncertainty. Mo
et al. (2012) showed that canopy leaf area index (LAI) and photosynthetic
capacity (carboxylation rate for C3 crops and photon quantum use efficiency
for C4 crops) were the parameters most sensitive to the model efficiency.
Here, taking the Yucheng site as an example, annual ET and GPP may increase
by 1.6 % (2.6 %) and 3.0 % (15.9 %), respectively, as LAI
(photosynthesis capacity) is increased by 20 %.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Validation with the statistical yield records</title>
      <p>The simulated GPP is also validated with the staple crop grain yield
statistics at county level. The crop grain yield per hectare is converted to
the equivalent GPP per square metre. As shown in Fig. 4 (years 2000 and 2005
are used), the agreement is satisfactory, with coefficients of determination
(<inline-formula><mml:math id="M91" 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 0.43 and 0.51 (<inline-formula><mml:math id="M92" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001), respectively. It is noted
that the model overestimated low-yield but underestimated high-yield zones.
The errors may have resulted from two aspects, namely, biases in the LAI-NDVI
empirical relationship and the harvest index
in low- and high-yield fields. There are remarkable spatial variations in
crop yields that resulted from diverse climates, soil physical texture,
chemical composition, and management practices. In the simulation, it is
found that the spatiotemporal evolution of greenness is a crucial factor
regulating the yield patterns. Greenness represented by the vegetation index
is an appropriate indicator of crop productivity under environmental stresses
(Hu et al., 2014). In the areas with a high vegetation index and favourable
irrigation facilities, the yield losses may be caused by heat waves or pest
infections in the mature stage.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Trends of climate, crop productivity, and ET</title>
      <p>Changes in climate variables and agro-ecosystem management are the dominant
driving forces of the evolution of regional eco-hydrological processes.
Intra-seasonal variations of climatic variables may exert different impacts
on the crop water consumption and carbon assimilation. In the last 3 decades,
air temperature has been rising, but sunshine duration and wind speed are
decreasing significantly over the plain, associated with global climate
change, aerosol, and air pollution exacerbation. Soil amelioration, genetic improvement,
irrigation facility constructions, and application of chemical synthesis
fertilizer are considered to be the principal drivers that have propelled the
crop productivity close to the attainable level (Yu et al., 2012; Lobell and
Burke, 2010).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Spatial average trends of the growing season NDVI at
annual <bold>(a)</bold> and monthly <bold>(b)</bold> scales (significance levels:
<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is <inline-formula><mml:math id="M94" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05; <inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> is
<inline-formula><mml:math id="M96" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01; the NDVI is scaled by 1000).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f05.png"/>

        </fig>

<sec id="Ch1.S3.SS2.SSS1">
  <title>Changes in climatic variables</title>
      <p>Grid averages of the climatic variables were analysed over the North China Plain from 1980 to 2013. Nevertheless,
inhomogeneous distributions of the climatic variables and the spatially
averaged trends were clear (Table 1). On an annual scale, global radiation,
air temperature (especially minimum temperature), and wind speed changed
significantly (<inline-formula><mml:math id="M97" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01). On a monthly scale, radiation declined
in all the months except March, but only trends in June to September were
significant (<inline-formula><mml:math id="M98" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01); a significant increase in air temperature
occurred in spring (February and March) and early summer (May to July); wind
speed decreased significantly (<inline-formula><mml:math id="M99" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) in all the months
except August. However, no significant trends were detected for both
precipitation and water vapour pressure throughout each month. As a
consequence, water vapour pressure deficit was exaggerated along with the
rise in air temperature, which was expected to intensify the atmospheric
water vapour demand and offset the negative effects of declining radiation
and wind speed on potential evaporation. These changes in climatic variables
have exerted remarkable impacts on the crop phenological stages, water
consumption, and productivity during the last 3 decades over the North China
Plain (Liu et al., 2010).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Inter-annual trends of monthly sunshine duration (Sun),
precipitation (<inline-formula><mml:math id="M100" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>), air temperature (<inline-formula><mml:math id="M101" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), relative humidity (RH), and wind
speed (<inline-formula><mml:math id="M102" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.78}[.78]?><oasis:tgroup cols="13">
     <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:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Jan</oasis:entry>  
         <oasis:entry colname="col3">Feb</oasis:entry>  
         <oasis:entry colname="col4">Mar</oasis:entry>  
         <oasis:entry colname="col5">Apr</oasis:entry>  
         <oasis:entry colname="col6">May</oasis:entry>  
         <oasis:entry colname="col7">Jun</oasis:entry>  
         <oasis:entry colname="col8">Jul</oasis:entry>  
         <oasis:entry colname="col9">Aug</oasis:entry>  
         <oasis:entry colname="col10">Sept</oasis:entry>  
         <oasis:entry colname="col11">Oct</oasis:entry>  
         <oasis:entry colname="col12">Nov</oasis:entry>  
         <oasis:entry colname="col13">Dec</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Sun (h yr<inline-formula><mml:math id="M107" 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>)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.026</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.036<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.015</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.015</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.039<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.040<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.052<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.060<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.018</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.017</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.020</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M124" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> (mm yr<inline-formula><mml:math id="M125" 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>)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.129</oasis:entry>  
         <oasis:entry colname="col3">0.212</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.279</oasis:entry>  
         <oasis:entry colname="col5">0.354</oasis:entry>  
         <oasis:entry colname="col6">0.049</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.472</oasis:entry>  
         <oasis:entry colname="col8">0.608</oasis:entry>  
         <oasis:entry colname="col9">0.456</oasis:entry>  
         <oasis:entry colname="col10">0.694</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.706</oasis:entry>  
         <oasis:entry colname="col12">0.223</oasis:entry>  
         <oasis:entry colname="col13">0.084</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M130" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C yr<inline-formula><mml:math id="M132" 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>)</oasis:entry>  
         <oasis:entry colname="col2">0.022</oasis:entry>  
         <oasis:entry colname="col3">0.058<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">0.078<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">0.030</oasis:entry>  
         <oasis:entry colname="col6">0.042<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">0.029<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">0.030<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">0.017</oasis:entry>  
         <oasis:entry colname="col10">0.020</oasis:entry>  
         <oasis:entry colname="col11">0.044<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col12">0.025</oasis:entry>  
         <oasis:entry colname="col13">0.018</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RH (% yr<inline-formula><mml:math id="M139" 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>)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.065</oasis:entry>  
         <oasis:entry colname="col3">0.115</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.260<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.079</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.139</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.074</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.080</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.074</oasis:entry>  
         <oasis:entry colname="col10">0.057</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.125</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.094</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.091</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M151" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M152" 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> yr<inline-formula><mml:math id="M153" 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>)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.016<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.020<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.021<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.019<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.015<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.006</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.014<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.017<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.015<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p>Significance levels: <inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M104" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05; <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>
for <inline-formula><mml:math id="M106" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Changes in greenness and GPP</title>
      <p>Here the remotely sensed NDVI is expressed as vegetation greenness. Averaged
over the growth period (from March to October), vegetation greenness
significantly increased from the 1980s, with a trend of 0.64 yr<inline-formula><mml:math id="M177" 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="M178" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) and a coefficient of variation (CV) of 2.4 %
(Fig. 5a, b). The maximum inter-annual variation of greenness was 5.4 %
between 2 consecutive dry and wet years (1989 and 1990), with a 280 mm
difference in annual precipitation. The distinct differences in greenness
occurred in June to December. On an annual scale, greenness was weakly
related to precipitation; however, in the growing season, greenness was
noticeably correlated with monthly precipitation in April, May, June,
September, and November (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.29–0.53, <inline-formula><mml:math id="M180" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1). The reason
is that the monthly rainfall is generally lower than the atmospheric
evaporative demand in spring, and the water deficit to
transpiration generally stresses the plant growth. Unlike precipitation,
greenness anomalies are positively correlated with the detrended air
temperature (<inline-formula><mml:math id="M181" 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> 0.16, <inline-formula><mml:math id="M182" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05), implying that recent
climate warming has stimulated vegetation growth by extending the growing
stage and by pushing photosynthesis in water non-limited regions (Mao et al.,
2012; Nemani et al., 2003).</p>
      <p>Regional greenness trends were remarkably diverse (Fig. 6a, b). Except for
climate change, human activities also exerted critical impacts on the
terrestrial greenness variations. In the low plain of Hebei province,
saline-alkali land amelioration and irrigation facility improvement
contributed greatly to the vegetation density and greenness enhancement in
the 1980s to the 1990s. In addition, atmospheric nitrogen deposition is also
regarded as a positive driver of the vegetation improvement, since the
nitrogen deposition increased on average by 25 % from the 1990s to the
2000s in North China (Jia et al., 2014; Piao et al., 2015). Spatially,
greenness increased over 91.3 % of the NCP, in which the most distinctive
grids were distributed in the southern parts and the belt along the Yellow
River channel, where water supply was usually sufficient. In the northern
part of the plain, however, the tendencies of greenness in a number of grids
decreased significantly at the <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.1 level, which were assumed to have
resulted from less irrigation supply to crops in springtime and rapid
expansion of built-up occupations around cities and towns, such as the
Beijing and Tianjin metropoles.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p><bold>(a)</bold> Spatial
distribution of the NDVI trends in the growing season and <bold>(b)</bold> the
Pearson coefficients of the NDVI trends above the <inline-formula><mml:math id="M184" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05
significance level (the NDVI is scaled by 1000).</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f06.png"/>

          </fig>

      <p>The spatially averaged GPP was 1913 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 584 gC m<inline-formula><mml:math id="M186" 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> yr<inline-formula><mml:math id="M187" 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>,
with a CV of 6.8 % predicted by the VIP model from 1981 to 2013 showing
noticeable spatial variability (Fig. 7). Low crop productivity resulted from
fields with saline-alkali soil in the low lands near the coast of the Bohai
Sea, where almost no favourable water was available for irrigation purposes
in springtime. On average, the increasing trend of GPP was significant, with
a slope of 8.2 gC m<inline-formula><mml:math id="M188" 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> yr<inline-formula><mml:math id="M189" 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="M190" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.60, <inline-formula><mml:math id="M191" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01).
It was noticed that the average annual GPP increased steadily from the 1980s
to the 2000s, compounded by decadal variations of climate and elevated
atmospheric CO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, as well as the improvement of agricultural practices
and techniques. It was revealed that trends of annual GPP were positive over
87.9 % of the study region. As shown in Fig. 7, the obvious increasing
trends were located in the mid and southern areas, while most of the
decreasing trends occurred in the eastern and northern parts, where water for
irrigation was considerably reduced in the spring season because of the
competing demands of domestic and industrial water use.</p>
      <p>On a monthly scale, GPP increased in all the months except for July, August,
and September (Fig. 8). The positive trends were contributed principally by
the summer harvest crops (wheat as the main crop), while the negative trends
were mainly contributed by the autumn harvest crops (maize as the major
crop). Regressive analysis showed that the downward trends of GPP in the
summer season resulted from the significant declines in monthly sunshine
duration and shortwave radiation (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.38 to 0.57 from June to August,
<inline-formula><mml:math id="M194" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p><bold>(a)</bold> Spatial distribution of GPP trends and
<bold>(b)</bold> Pearson coefficients of trends at the <inline-formula><mml:math id="M195" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05
significance level.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f07.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Monthly trend of GPP from 1981 to 2013 (significance levels: <inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>
is <inline-formula><mml:math id="M197" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05; <inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> is <inline-formula><mml:math id="M199" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01).</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Changes in ET</title>
      <p>Water loss from the vegetation surface as ET is directly regulated by
atmospheric vapour demand and leaf stoma physiological functioning (Buckley
and Mott, 2013). Inter-annual variation of ET is controlled by climate
variability/change and agronomic managements. Generally potential ET
(ET<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula>) is used to represent the available energy for water
vaporization on land surface. As shown in Fig. 9a, ET<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> was slightly
decreasing, which resulted from
offsetting between the negative effects of reduced global radiation and
declining wind speed and the positive effect of increasing water vapour
deficit (Song et al., 2009); simultaneously, actual ET was predicted to be
slightly increasing (<inline-formula><mml:math id="M202" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05), consistent with the enhancement
of greenness. It was noticed that the evolutions of potential and actual ET
coincided with the hypothesis of complementary relationship. On a monthly
scale, ET significantly increased from February to April, but it decreased in
August (Fig. 9b). This implies that climate warming may be beneficial to
spring crops by advanced recovering date from dormancy, whereas a decline of
net radiation (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (especially in August, significance level
<inline-formula><mml:math id="M204" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.001) may lead to the downward tendency of ET rates in
summer.</p>
      <p>Over the whole plain, spatially averaged actual ET and transpiration were
627 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 162 mm yr<inline-formula><mml:math id="M206" 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> (about 92 % of annual precipitation) and
416 <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 129 mm yr<inline-formula><mml:math id="M208" 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> (about 67 % of ET), respectively. The
trend of annual ET (<inline-formula><mml:math id="M209" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.1) with CV
of 0.05 was 0.88 mm yr<inline-formula><mml:math id="M210" 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> from 1981 to 2013, which was less significant
than that of the NDVI (<inline-formula><mml:math id="M211" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01). Decadal ET amounts in the
1980s, 1990s, and 2000s were 610, 626, and 640 mm, respectively,
corresponding to the slightly rising trend of precipitation. It is found that
GPP increased with a higher significance level than that of ET, implying the
enhancement of water productivity in the plain. Spatially, the trends of ET
were positive over 86.0 % of the study region, mainly occurring in the
mid and southern parts, while negative trends were mainly found in the
northern part (Fig. 10a, b), which was consistent with the pattern of GPP
tendencies. By using a water balance model, Zeng et al. (2014) also presented
an increasing trend of ET over the North China Plain from 1982 to 2009.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Inter-annual trends of potential and actual annual ET <bold>(a)</bold>
and trends of monthly ET and net radiation (<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> from
1981 to 2013 (significance levels: <inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is <inline-formula><mml:math id="M214" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05;
<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> is <inline-formula><mml:math id="M216" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01).</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p><bold>(a)</bold> Spatial
distribution of ET trends, and <bold>(b)</bold> their temporal Pearson
coefficients above the <inline-formula><mml:math id="M217" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.05 significance level from 1981 to
2013.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f10.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Contributions of climate change, atmospheric CO${}_{{2}}$ fertilization, and
agronomic management to changes in ET and GPP}?><title>Contributions of climate change, atmospheric CO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and
agronomic management to changes in ET and GPP</title>
<sec id="Ch1.S3.SS3.SSS1">
  <title>Spatial patterns of the contributions</title>
      <p>The contributions from climate change, atmosphere CO<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment
fertilization, and agronomic management illustrated considerable spatial
heterogeneity for both ET and GPP (Fig. 11). Over the whole plain, climate
change exerted a positive impact on water vapour exchange from the land
surface to the atmosphere (<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, especially in the eastern hilly part
where precipitation increased slightly. As is generally known, air CO<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
enrichment stimulates the crop leaf stomatal closing and then reduces
transpiration, but its fertilization effect enhances the photosynthetic rate
and water use efficiency (Buckley and Mott, 2013). Descriptions of the
separate effects are presented as follows.</p>
      <p>The climate change has intensified the hydrological cycle, resulting in a 0
to 4 mm increment of ET per year. The effect of climate change was much
stronger in the mid to eastern zones with high crop productivities,
contributed mainly by air temperature increase. The contribution of CO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
enrichment to ET is negative in most areas, ranging from 0 to <inline-formula><mml:math id="M223" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 mm per
year. The attributions of agronomic practices and technological advancement
represented by LAI increase are somewhat complex, namely a remarkable
increase ranging from 0 to 6 mm per year in the mid–western areas where
irrigation facilities and soil conditions have been ameliorated greatly in
the recent decades through land consolidation and de-salinization. Renewal of
cultivars and improved agronomic practices also contributed to ET
intensifying (Zhang et al., 2011). In contrast, ET in the grids with
expansions of built-ups appeared to
have negative trends.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Contributions of climate changes, CO<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment, and
management to ET <bold>(a, b, c)</bold> and GPP <bold>(d, e, f)</bold>, respectively
(<bold>a</bold> and <bold>d</bold> are for climate, <bold>b</bold> and <bold>e</bold> for
CO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and <bold>c</bold> and <bold>f</bold> for management).</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f11.png"/>

          </fig>

      <p>Annually, the contribution of climate change to GPP is negative, ranging from
0 to <inline-formula><mml:math id="M226" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 gC m<inline-formula><mml:math id="M227" 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> per year. Low rates occurred in the southwestern and
northern parts. Air warming and heat waves, declines in precipitation, and
global radiation are the main causes of crop production reduction (Lobell et
al., 2011; Guo et al., 2014). In addition to the spatial variability, climate
change effects are associated with the relevant land use/cover and cropping
systems. In the hilly (western and mid) and eastern coast areas, negative
effects were slight, where air warming and air pollution were relatively
weak. CO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment effects were positive over the whole plain, ranging
from 0 to 6 gC m<inline-formula><mml:math id="M229" 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> per year. It was noticed that the higher effects
were associated with higher cropland with favourable irrigation and high
productivity, while the lower rate was related to low-productivity croplands
and natural vegetation communities. Similarly, the effects of human
activities on ET were positive in the mid to western areas, ranging from 0 to
35 gC 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> per year, associated with croplands of high productivity.
The negative effects mainly occurred in the eastern and northern parts, where
there was remarkable expansion of urban and dwelling buildings in the study
period.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <title>Regionally averaged contributions</title>
      <p>Regarding the aspect of regional average, some characteristics of the
contributions to water and carbon assimilation are revealed. As shown in
Fig. 12a, the contributions of climatic variable change (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, elevated
atmospheric CO<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and agronomic management
(represented by leaf area index (LAI) increment) (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and their
interactions with the long-term trend of ET were positive, while the
contribution of elevated atmospheric CO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was negative in the last 3
decades. It was shown that the contribution of climate change was less than
that of agronomic improvement. The relative direct contributions of climatic
change, CO<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and agronomic management and technological
advancement to the long-term trend of evapotranspiration were 56, <inline-formula><mml:math id="M237" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28, and
68 %, respectively. Compared with the contributions of direct effects,
the relative contributions by their interactions were low (the cumulative
effect of <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>12</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>23</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mn>123</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> was only about
4 %). Although the global radiation reaching the ground was diminished by
a higher aerosol concentration and deteriorated pollution in the atmosphere
(Che et al., 2005), its negative effect on terrestrial ET was offset by the
positive effects of air warming and its related higher vapour pressure
deficit (VPD) on ET on an annual scale. Reduction of transpiration by
enriched atmospheric CO<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> caused by closure of plant leaf stomata at high
CO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations for both C3 and C4 plants may mediate the extra water
demand by air warming. The dominant contribution to ET changes was from the
renewal of cultivars and improvement of agricultural techniques and
management. In the study period, agronomic management has greatly improved,
including the establishment of irrigation facility, prevalent uses of
chemical fertilizers, and pesticides. For example, irrigated area in the
northern part (mainly the Hebei Plain) has increased by 2.5 times, and
chemical synthetic fertilizer input has increased about 4 times; as a
consequence, crop grain production enhanced about 2 times from the 1980s to
the 2000s (Xu et al., 2005). Climate change and agronomic management
improvement (irrigation practice, synthetic
fertilizer supply, and new cultivar adoption) are the main contributors
to ET intensifying over the plain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p><bold>(a)</bold> Contributions of climate change, atmospheric CO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
enrichment, and agronomic management to ET and <bold>(b)</bold> contributions to
GPP trends.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/295/2017/hess-21-295-2017-f12.png"/>

          </fig>

      <p>As shown in Fig. 12b, the enriched atmospheric CO<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization and
agronomic management improvement presented a positive contribution to the GPP
trend during the study period. It was somewhat against expectations that the
contribution of climate change to GPP was negative on an annual scale. The
relative contributions of climate change, CO<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and
management to the vegetation GPP enhancement were <inline-formula><mml:math id="M247" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32, 25, and 103 %,
respectively. It was confirmed that the
improvement of agricultural management was the dominant driver of GPP
increase. The positive effects on GPP were associated with human activities
and natural factors, such as input of synthetic fertilizers and atmospheric
nitrogen deposition, irrigation, and other agronomic technology improvement,
as well as fertilization of enriched atmospheric CO<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The negative
contribution by climate change mainly happened in summertime (Fig. 8). Since
there was less benefit of CO<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment to summer maize (C4 type), the
reduced maize productivity due to global radiation decline was not fully
offset. Some studies, such as Piao et al. (2015), also reported that climate
change exerted a negative impact on the vegetation greening phenology, and
Liu et al. (2010) attributed the reduction of crop productivity to shortening
of vegetative growth length under climate warming. As shown in Fig. 4b, it
was illustrated by NDVI time series that greenness in the summer season was
quite stable; however, it significantly increased in spring and autumn,
indicating that climate warming was beneficial for crop growing in the cool
seasons. Additionally, carbon assimilated by summer crops was larger than
that by spring crops. Thereby, the sign of the annual GPP trend was
determined by its trend in the summer season. As current air temperature
increase was not yet so detrimental to maize growth, the decline of downward
shortwave radiation was considered to be responsible for GPP decline.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <title>Effects of climatic variables on monthly ET and GPP trends</title>
      <p>To attribute the responses of cropping systems to the trends of single
climatic variables, the VIP model is used to diagnose the effects of climate
change on ET and GPP at the Beijing meteorological observation site. The
contributions of a single variable to the trends of ET and GPP are expressed
by their differences simulated with the current and de-trended variables,
respectively. Here only the climatic variables of radiation, air temperature,
and wind speed were linearly de-trended on a monthly scale, since no
significant trends of precipitation and specific humidity are detected. As
shown in Table 2, while the global radiation was de-trended, the negative
correlation coefficient of monthly GPP with time was reversed from negative
to positive in springtime, and from significant (<inline-formula><mml:math id="M250" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> &lt; <inline-formula><mml:math id="M251" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6,
<inline-formula><mml:math id="M252" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) to insignificant levels (<inline-formula><mml:math id="M253" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> &lt; <inline-formula><mml:math id="M254" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15,
<inline-formula><mml:math id="M255" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &gt; 0.01) in July and August. It was affirmed that the decline
in global radiation was the dominant factor for reduction of crop GPP in the
summer period (June to August), but in the autumn season the changes in
radiation, temperature, and wind speed were all responsible for GPP changes.
From Table 2, it could be deduced that the effect of temperature rising on
crop productivity was positive and significant in spring (March and April)
and autumn (September and October), whereas its effect was relatively weak in
summer (May to August). It was noticed that the effect of radiation change
was quite weak in March, when no significant trend of shortwave radiation was
detected. In the spring season, sunshine duration increased from the 1980s to
the 2010s (Wang and Yang, 2014). In June, except for global radiation,
changes in temperature and precipitation have contributed to GPP increasing.
Additionally, the fertilizing effect of enriched atmospheric CO<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on C3
crops is a non-ignorable factor in GPP increasing. However, maize as the C4
crop does not benefit much from atmospheric CO<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment. It is
suggested that new cultivars with higher light use efficiency should be
adopted to sustain the maize productivity under declined global radiation
condition resulting from exacerbating aerosol concentration and air
pollution.</p>
      <p>Comparatively, the effect of climatic change on ET was less significant than
that of vegetation GPP. The model simulations showed that ET enhanced by air
temperature rising mainly occurred in August to October, while the negative
effect of solar radiation decreasing was detected from June to September in
the maize growing period.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Monthly Pearson correlation coefficients of GPP trends
(<inline-formula><mml:math id="M258" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> _ ALL: all variables are not de-trended; <inline-formula><mml:math id="M259" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_R: radiation is
de-trended; <inline-formula><mml:math id="M260" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M261" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: air temperature is de-trended;
<inline-formula><mml:math id="M262" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M263" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M264" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M265" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>: radiation (<inline-formula><mml:math id="M266" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>),
temperature (<inline-formula><mml:math id="M267" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), and wind speed (<inline-formula><mml:math id="M268" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) are all de-trended).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Jan</oasis:entry>  
         <oasis:entry colname="col3">Feb</oasis:entry>  
         <oasis:entry colname="col4">Mar</oasis:entry>  
         <oasis:entry colname="col5">Apr</oasis:entry>  
         <oasis:entry colname="col6">May</oasis:entry>  
         <oasis:entry colname="col7">Jun</oasis:entry>  
         <oasis:entry colname="col8">Jul</oasis:entry>  
         <oasis:entry colname="col9">Aug</oasis:entry>  
         <oasis:entry colname="col10">Sep</oasis:entry>  
         <oasis:entry colname="col11">Oct</oasis:entry>  
         <oasis:entry colname="col12">Nov</oasis:entry>  
         <oasis:entry colname="col13">Dec</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M269" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_ALL</oasis:entry>  
         <oasis:entry colname="col2">0.17</oasis:entry>  
         <oasis:entry colname="col3">0.14</oasis:entry>  
         <oasis:entry colname="col4">0.36</oasis:entry>  
         <oasis:entry colname="col5">0.31</oasis:entry>  
         <oasis:entry colname="col6">0.25</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M270" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M271" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.56</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M272" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M273" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.75</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M274" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M275" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M276" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M277" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M278" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.29</oasis:entry>  
         <oasis:entry colname="col3">0.15</oasis:entry>  
         <oasis:entry colname="col4">0.38</oasis:entry>  
         <oasis:entry colname="col5">0.40</oasis:entry>  
         <oasis:entry colname="col6">0.23</oasis:entry>  
         <oasis:entry colname="col7">0.49</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M279" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M280" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.67</oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M282" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M283" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M284" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M285" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M286" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.11</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>  
         <oasis:entry colname="col4">0.02</oasis:entry>  
         <oasis:entry colname="col5">0.09</oasis:entry>  
         <oasis:entry colname="col6">0.30</oasis:entry>  
         <oasis:entry colname="col7">0.05</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.64</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.30</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M290" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48</oasis:entry>  
         <oasis:entry colname="col11">0.08</oasis:entry>  
         <oasis:entry colname="col12">0.08</oasis:entry>  
         <oasis:entry colname="col13">0.05</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M291" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M292" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M293" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>_<inline-formula><mml:math id="M294" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.10</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M295" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>  
         <oasis:entry colname="col4">0.00</oasis:entry>  
         <oasis:entry colname="col5">0.11</oasis:entry>  
         <oasis:entry colname="col6">0.33</oasis:entry>  
         <oasis:entry colname="col7">0.35</oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M296" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.20</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M297" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08</oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M298" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13</oasis:entry>  
         <oasis:entry colname="col11">0.10</oasis:entry>  
         <oasis:entry colname="col12">0.09</oasis:entry>  
         <oasis:entry colname="col13">0.06</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p>Our simulations suggested that annual ET and vegetation GPP increased over
the North China Plain from 1981 to 2013. Climate change contributed
positively to ET intensification, but negatively to GPP enhancement.
Agronomic management and technological advancement are the dominant factors
in promoting GPP increase. The use of remote sensing NDVI series has greatly
improved the reliability of vegetation water consumption and productivity
prediction at spatial and temporal scales, even if there were uncertainties
in vegetation characteristics retrieved from the NDVI dataset. The results in
this study were supported and
consistent with the most relevant studies on field and regional scales.</p>
<sec id="Ch1.S4.SS1">
  <title>Is the trend of ET upward or downward over the NCP?</title>
      <p>Although the crop productivities are steadily increasing, whether the actual
ET over the NCP is increasing or decreasing during the last 3 decades is
controversial from the reported literatures. By using the complementary
relationship models (Brutsaert and Stricker, 1979), actual ET and potential
ET both decreased (Cao et al., 2014; Gao et al., 2012). However, ET
increased, predicted by the process-based VIP model from 1981 to 2013, which
was consistent with the increasing trend of terrestrial greenness (S. Wang et
al., 2016). Yuan and Shen (2013) found that in the northern part of the NCP
(Hebei Province), ET was positively correlated with recorded crop grain
yield, and agricultural water use has increased. Field measurements under
well-watered fields also showed that seasonal ET rates of both winter wheat
and summer maize increased (Zhang et al., 2011). Brutsaert (2006)
acknowledged that decreasing pan evaporation was evidence of increasing
terrestrial evaporation. As is generally known, the sign of ET change should
be the same as that of vegetation greenness. Over the NCP a positive trend of
ET was more believable, in the light of a significantly increasing NDVI over
the growing season, especially in spring. The positive effects of warming
with higher water vapour deficit on ET might be offset by the negative effect
of declining solar radiation and wind speed on potential evaporation. In view
of the complementary relationship hypothesis (Hobbins et al., 2001),
alteration of available energy partitioned into latent heat flux (or ET) is
dominated by the atmospheric water vapour deficit, namely, while more vapour
is evaporated into the atmosphere boundary layer, its water vapour deficit is
then accordingly relaxed, resulting in a lower rate of ET<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula>.
However, while declining global radiation is the dominant factor in the ET
trend, actual ET (ET<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>a</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, wet surface ET (ET<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>w</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and
potential ET (ET<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> trace the trend of available energy (net
radiation). In this study case, net radiation declined at a rate of
<inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.58 MJ yr<inline-formula><mml:math id="M304" 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="M305" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.56, <inline-formula><mml:math id="M306" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) over the NCP. As
the trends of both ET<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mtext>p</mml:mtext></mml:msub></mml:math></inline-formula> and ET<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mtext>w</mml:mtext></mml:msub></mml:math></inline-formula> were dominated by the
radiation trend, the
ET<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mtext>a</mml:mtext></mml:msub></mml:math></inline-formula> estimated from the complementary relationship definitely
followed the negative trend of radiation, because the positive trend of
aerodynamic evaporation was weak as a tradeoff of the positive effect of
rising water vapour deficit and the negative effect of decreasing wind speed.
However, the declining ET trend which resulted from the reduced radiation has actually been reversed by
increasing green leaf area, which would reduce land surface albedo and
temperature, etc. Consequently, ET and GPP showed a slight increase. This
study case also confirmed limitations of the complementary relationship for
diagnosing the evaporation trend under the condition of declining radiation.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{Effects of climate change and CO${}_{{2}}$ on the cropping systems}?><title>Effects of climate change and CO<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on the cropping systems</title>
      <p>Without adaptation measures, climate change is shown to exert negative
effects on the productivity of cropping systems in the NCP during the last 3
decades (Mo et al., 2013; Liu et al, 2010). Changes in individual climate
variables affected specific cropping systems differently, which was
associated with crop type and growing season. Climate warming in the winter
and spring seasons was beneficial to vegetative growth of winter wheat (Mo et
al., 2013). Although air warming has shortened the growing length, the
autonomously adopted cultivars with higher thermal requirements usually
maintained the crop growth length and accumulated more photosynthesis
products, which may outweigh the extra respiration consumption under warmer
climates (Wang et al., 2012). So far, the effects of global warming on wheat
production have been inhomogeneous in the North China Plain, which were
positive in the northern part but negative in the southern part (Zhang et
al., 2013). The reasons are that during the wheat growth period air
temperature is still below the favourable conditions in the high-latitude
part of the plain; therefore, recent global warming is benign to the wheat
growth, whereas air warming may be detrimental in the southern part,
especially for rainfed wheat (Xiao and Tao, 2014).</p>
      <p>However, dominated by summer monsoon in the North China Plain, the climate is
hot in the summer maize growth period. Due to maize being a tropically
originated species with a high thermal requirement, it can tolerate
relatively high air temperature. Our study showed that maize has not suffered
noticeably from air warming in the recent decades, confirmed also by Xiong et
al. (2012). However, Guo et al. (2014) reported that effect of air warming on
maize was adverse with an Agro-Ecological Zones model, and the decreased
daily temperature range (DTR) may be detrimental to crop yields.
Nevertheless, adaptation measures may boost the production, such as harvest
time delay (Wang et al., 2012) or planting date advancement (Sacks and
Kucharick, 2011).</p>
      <p>As atmospheric aerosols from industrial production and combustion have
increased, global radiation has declined in many parts of the world, in which
direct components decreased but diffuse components increased, so-called
“global dimming” (Liepert, 2002; Ren et al., 2013). The decline of global
radiation has resulted in less pan evaporation and carbon assimilation in
crop and natural vegetation communities (Xiong et al., 2012; Xiao and Tao,
2014); nevertheless, plant canopies can use the diffuse radiation with higher
efficiency than direct beams (Gu et al., 2002). In springtime, while the
atmospheric circulation is shifting from continental to ocean monsoon in East
Asia, the wind speed is relative high, and consequently air pollution and
aerosols are usually low; therefore, global radiation is not reduced
obviously in the wheat growth period (Table 1), illustrating that air warming
and precipitation variability other than radiation decrease are the principal
climate factors contributing to the tendency of wheat production. In
contrast, global radiation declines significantly in the summer season in the
North China Plain (Table 1); as a result, productivities of autumn harvest
crops such as maize are mainly affected. For example, Guo et al. (2014)
reported that maize potential productivity was reduced by 20 kg hm<inline-formula><mml:math id="M311" 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>
due to global radiation decline in the last decades over China.</p>
      <p>During the study period, atmospheric CO<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration increased from
340 to 396 ppm, which contributed to enhancement of crop productivity.
However, most studies with statistical analysis models neglected the
contribution of CO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization (e.g. Lobell and Burke, 2010; Song et
al., 2014). As confirmed by FACE experiments, elevated atmospheric CO<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration is accelerating plant photosynthesis and reducing
transpiration, whose fertilizer effect is 0.065 % per ppm increment for
C3 plants (Field et al., 1995; Long et al., 2006; Ainsworth et al., 2008). In
this study, the contribution of CO<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to GPP is positive, but negative for
ET. The positive CO<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> effect on GPP almost compensates for the negative
effects of climatic variable changes. However, it should be borne in mind, as
Ainsworth et al. (2008) pointed out, that the CO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilizer effect may
be overestimated by the process-based crop/ecosystem models.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Effects of agronomic practice, technique advancement and other
factors</title>
      <p>The remotely sensed NDVI is an excellent indicator of long-term changes of
vegetation covers. Here we assumed that climate change did not modify the
tendencies of vegetation covers, but dominated the inter-annual variation of
vegetation density. Renewal of crop cultivars, applications of synthetic
fertilizer and irrigation, as well as conservancy tillage and nitrogen
deposition all contribute to the crop and/or natural productivity
improvements (Yu et al., 2012; Bai et al., 2016; Piao et al., 2015). National
statistical records of grain yields on county scale showed a rapid increase
from 1980 to 1990 and a moderate increase in the 2000s. Enhancement of crop
yields mainly stemmed from more biomass accumulation and a higher harvest
index than previous varieties (Zhang et al., 2013). In our simulations the
upward trend of GPP was more significant than that of ET, which was
consistent with the increasing trend of the cumulative NDVI. Agronomic
practices and technology advancement contributed 103 % of GPP changes in
our study. By using crop models, Yu et al. (2012) and Song et al. (2014)
reported, respectively, the relative contributions of 92 and 62 % by
agronomic management and renewal of cultivars for rice, and Guo et al. (2014)
showed that 99.6 to 141.6 % of maize yield increases was contributed by
technological advancement in China since the 1980s. The previous studies
showed that, if no adoption measures were taken, climate change generally
contributed negatively to crop productivities in the mid-latitude areas, but
the negative effects were usually compensated for by genetic improvements,
applications of fertilizer and irrigation, pest and weed control, as well as
CO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and nitrogen deposition effects (Liu et al., 2010; Lobell et al.,
2011; Guo et al., 2014; Bai et al., 2015). Under warming climate conditions,
it is expected that water requirement by crops and natural plants will
increase, but the intensified ET may be limited by insufficient soil moisture
availability. Therefore, the sustainability of crop productions greatly
depends on the improvement of agronomic management and technological
advancement on variety breeding.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>Climate change and human activities have greatly altered the hydrological
regime and crop productivity in the North China Plain, with warm temperate
climate during the recent 3 decades. The VIP ecological model integrated with
the NOAA-AVHRR NDVI data series predicted that spatial average annual actual
ET weakly increased, while vegetation primary productivity (GPP)
significantly increased (<inline-formula><mml:math id="M319" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> &lt; 0.01) from 1981 to 2013,
consistent with the remotely sensed NDVI trend. The increases in actual ET
and GPP mainly occurred in spring, while ET and GPP were obviously
decreasing in August owing to global radiation diminishing.</p>
      <p>Climate change, elevated atmospheric CO<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and agronomic
management (new cultivars, irrigation, and chemical fertilizer) all
contribute to the inter-annual trends of ET and crop GPP. The relative direct
contributions of climatic change, CO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization, and agronomic
management to ET increase are 56, <inline-formula><mml:math id="M322" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28, and 68 %, while the
contributions to GPP tendency are <inline-formula><mml:math id="M323" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32, 25,
and 103 %, respectively. Air warming intensifies the crop water
requirement and enhances the production of crops harvested in summer. The
decline of global radiation resulting from exaggerated aerosol concentration
and air pollution is considered to be the main cause of GPP reduction in
August. The study confirms the necessary for imminent control of air
pollution and aerosol to sustain the productivity of the agricultural system.</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>The VIP model simulation and analysed data products are available from the
corresponding author. However, the measurement data of eddy covariance and
yield census data are from some specific data providers with agreements;
these data have limited accessibility.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>This work was supported by the Natural Science Foundation of China grants
(41471026 and 31171451) and the State's Key Project of Research and
Development Plan (no. 2016YFC0401402). We thank the China Meteorological
Administration (CMA) for providing the meteorological data and on-site soil
moisture data used in this paper.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by:
A. Wei<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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