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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-21-5805-2017</article-id><title-group><article-title>Evaluation of multiple forcing data sets for precipitation and shortwave
radiation over major land areas of China</article-title>
      </title-group><?xmltex \runningtitle{Evaluation of multiple forcing data sets}?><?xmltex \runningauthor{F. Yang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Fan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Lu</surname><given-names>Hui</given-names></name>
          <email>luhui@tsinghua.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-1640-239X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3 aff4">
          <name><surname>Yang</surname><given-names>Kun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0809-2371</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>He</surname><given-names>Jie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Wang</surname><given-names>Wei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wright</surname><given-names>Jonathon S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6551-7017</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Chengwei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Han</surname><given-names>Menglei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Yishan</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Ministry of Education Key Laboratory for Earth System Modeling,
Department of Earth System Science, <?xmltex \hack{\break}?>Tsinghua University, Beijing, 100084,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>The Joint Center for Global Change Studies, Beijing, 100875, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>CAS Center for Excellence in Tibetan Plateau Earth System, Beijing,
100101, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Key Laboratory of Tibetan Environment Changes and Land Surface
Processes, Institute of Tibetan Plateau <?xmltex \hack{\break}?>Research, Chinese Academy of
Sciences, Beijing, 100101, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Changjiang Institute of Survey, Planning, Design and Research,
Wuhan,
430010, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Hui Lu (luhui@tsinghua.edu.cn)</corresp></author-notes><pub-date><day>23</day><month>November</month><year>2017</year></pub-date>
      
      <volume>21</volume>
      <issue>11</issue>
      <fpage>5805</fpage><lpage>5821</lpage>
      <history>
        <date date-type="received"><day>31</day><month>May</month><year>2017</year></date>
           <date date-type="rev-request"><day>8</day><month>June</month><year>2017</year></date>
           <date date-type="rev-recd"><day>16</day><month>October</month><year>2017</year></date>
           <date date-type="accepted"><day>17</day><month>October</month><year>2017</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017.html">This article is available from https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017.pdf</self-uri>
      <abstract>
    <p id="d1e183">Precipitation and shortwave radiation play important roles in
climatic, hydrological and biogeochemical cycles. Several global and
regional forcing data sets currently provide historical estimates of these
two variables over China, including the Global Land Data Assimilation System
(GLDAS), the China Meteorological Administration (CMA) Land Data
Assimilation System (CLDAS) and the China Meteorological Forcing Dataset
(CMFD). The CN05.1 precipitation data set, a gridded analysis based on CMA
gauge observations, also provides high-resolution historical precipitation
data for China. In this study, we present an intercomparison of
precipitation and shortwave radiation data from CN05.1, CMFD, CLDAS and
GLDAS during 2008–2014. We also validate all four data sets against
independent ground station observations. All four forcing data sets capture
the spatial distribution of precipitation over major land areas of China, although
CLDAS indicates smaller annual-mean precipitation amounts than CN05.1, CMFD
or GLDAS. Time series of precipitation anomalies are largely consistent
among the data sets, except for a sudden decrease in CMFD after August 2014.
All forcing data indicate greater temporal variations relative to the mean
in dry regions than in wet regions. Validation against independent
precipitation observations provided by the Ministry of Water Resources (MWR)
in the middle and lower reaches of the Yangtze River indicates that CLDAS
provides the most realistic estimates of spatiotemporal variability in
precipitation in this region. CMFD also performs well with respect to annual
mean precipitation, while GLDAS fails to accurately capture much of the
spatiotemporal variability and CN05.1 contains significant high biases
relative to the MWR observations. Estimates of shortwave radiation from CMFD
are largely consistent with station observations, while CLDAS and GLDAS
greatly overestimate shortwave radiation. All three forcing data sets
capture the key features of the spatial distribution, but estimates from
CLDAS and GLDAS are systematically higher than those from CMFD over most of
mainland China. Based on our evaluation metrics, CLDAS slightly outperforms
GLDAS. CLDAS is also closer than GLDAS to CMFD with respect to temporal
variations in shortwave radiation anomalies, with substantial differences
among the time series. Differences in temporal variations are especially
pronounced south of 34<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. Our findings provide valuable guidance
for a variety of stakeholders, including land-surface modelers and data
providers.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e204">Precipitation and shortwave radiation are the fundamental sources of water
and energy for land-surface biological, physical and chemical processes
(Zhao and Zhu, 2015; Zhang et al., 2010). These fluxes affect moisture and
heat exchange between the atmosphere and the land surface (Pan et al., 2014;
Tian et al., 2007; Fekete et al., 2004; Gottschalck et al., 2005), and are key
meteorological forcing inputs for studies using land process models,
including crop simulation, hydrologic modeling, dryland expansion estimation
and analysis of dust events (Bart and Lettenmaier 2004; Tang et al., 2008;
Huang et al., 2016; Kang et al., 2016). Accurate estimates of precipitation
and shortwave radiation are therefore essential for studies of climate
change and land-surface processes.</p>
      <p id="d1e207">Although conventional station-based measurements can obtain the values of a
measured variable with high accuracy and precision, these measurements can
only represent information at local scales (Maurer et al., 2002; Bogh et al., 2004),
and are unable to adequately depict spatial variations given the limited
number and locations of stations (Duan et al., 2012). In the late 1980s, data
assimilation techniques were proposed as a means of reconstructing
historical forcing data at high resolution (Xie et al., 2011; Zhao et al.,
2010). This innovation brought unprecedented opportunities for researchers.
The resulting forcing data sets, which typically include precipitation,
shortwave radiation, temperature, specific humidity, wind speed, surface
pressure and other meteorological data, are derived by assimilating
numerical weather forecast information, ground observation data and remote
sensing data into an analysis product (Xie et al., 2011; Zhao et al., 2010;
Pan et al., 2010). Many forcing data sets are now available, including the
National Centers for Environmental Prediction and the National Center for
Atmospheric Research reanalysis (NCEP/NCAR; Kalnay et al., 1996), the Global
Land Data Assimilation System (GLDAS; Rodell et al., 2004), the European
Centre for Medium-Range Weather Forecasts (ECMWF) Interim Reanalysis
(ERA-Interim; Dee et al., 2011) and the Japanese 55-year Reanalysis (JRA-55;
Kobayashi et al., 2015), among many others. In recent years, Chinese
researchers have made great progress in developing forcing data sets.
Through these efforts, two forcing data sets covering China have been
produced, namely the China Meteorological Forcing Dataset (CMFD), released by
the Institute of Tibetan Plateau Research, Chinese Academy of Sciences (He
and Yang, 2011), and the China Meteorological Administration (CMA) Land Data
Assimilation System (CLDAS; Shi et al., 2014). Separate efforts have produced
new gridded analyses of station-based measurements, including the CN05.1
interpolation of CMA rain gauge data released by the National Climate Center
(Wu and Gao, 2013). These forcing data sets are widely used because they have
high spatial resolution, cover a large area over a long period and are
convenient to obtain and process. For example, CMFD forcing data have been
used to simulate permafrost and seasonally frozen ground conditions on the
Tibetan Plateau (Guo and Wang, 2013), to analyze the impacts of
precipitation on springtime vegetation phenology (Shen et al., 2015), to
model the land-surface water and energy cycles in a mesoscale watershed (Xue
et al., 2013) and to assess climatic and human impacts on surface water
resources in the middle reaches of the Yellow River (Hu et al., 2015). The
CMFD and GLDAS forcing data sets have also been used to improve land-surface
temperature modeling for arid regions in China (Chen et al., 2011), while
GLDAS has been applied to analyze long-term variations in terrestrial water
storage in the Yangtze River basin (Huang et al., 2013) and the
recently released CLDAS has been adopted in a recent drought monitoring
study (Han, 2015). The CN05.1 data set also has been used in many fields,
such as simulating climate change over China (Gao et al., 2013) and studying
shifts in the western Pacific subtropical high (Huang et al., 2015).</p>
      <p id="d1e210">However, forcing data have considerable uncertainties, regardless of whether
these data are generated by interpolating ground observations or derived
from reanalysis products (Qian et al., 2006). Biases associated with a
forcing data set can propagate into model results (Wang et al., 2016b), which
may in turn be unrealistic if the forcing data are unreliable (Cosgrove et al., 2003). For example, errors in precipitation and shortwave radiation can
have profound impacts on simulations of soil moisture, runoff and heat
fluxes (Luo et al., 2003). It is therefore necessary to evaluate the accuracy
of forcing data sets so that the relevant biases are fully recognized when
they are applied in studies of land-surface processes (Pan et al., 2014).</p>
      <p id="d1e213">Several previous studies have evaluated the forcing data sets examined in
this work. Y. Wang et al. (2016) evaluated the performance of CMFD daily
precipitation estimates over the Qinghai–Tibetan Plateau from 2009 to 2012
and found systematic overestimates through much of the year (more than 255 days). Wang et al. (2014, 2016a) assessed the reliability of GLDAS monthly
precipitation data in China from 1979 to 2012 by visual comparison with
direct observations, and found that both GLDAS-1 and GLDAS-2 precipitation
match the direct observations well. Wang et al. (2011) validated GLDAS-1
daily and monthly precipitation data for a mesoscale basin in northeast
China during March 2003 to March 2006, and concluded that both daily and
monthly precipitation estimates from GLDAS were of high quality. Wang and
Zeng (2012) evaluated six reanalysis products (MERRA, NCEP–NCAR, CFSR,
ERA-40, ERA-Interim and GLDAS-1) against in situ measurements from 63
weather stations on the Tibetan Plateau, and found that GLDAS provided the
best overall performance with respect to both daily and monthly
precipitation.</p>
      <p id="d1e217">Although the quality of GLDAS data has been validated and confirmed by
previous studies, these data are not bias-free. In particular, the
credibility of GLDAS over continental China in recent years has yet to be
assessed. The CN05.1, CMFD and CLDAS data sets have been developed and
maintained by Chinese scientists and are supposed to be accurate and
reliable because they are more strictly constrained by surface observations.
However, no comprehensive evaluation of these forcing data sets has yet been
conducted over major land areas of China (including mainland China and the two biggest islands off the coast, Hainan and Taiwan). In this study, we present an intercomparison
of precipitation and shortwave radiation products from CN05.1, CMFD, CLDAS
and GLDAS, along with an evaluation against available in situ observations.
The results of this intercomparison will assist researchers in selecting
and understanding meteorological forcing data, and will also help to guide
further innovations and improvements in these data sets.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data</title>
<sec id="Ch1.S2.SS1">
  <title>Forcing data sets</title>
<sec id="Ch1.S2.SS1.SSS1">
  <title>CN05.1</title>
      <p id="d1e236">CN05.1 provides precipitation along with daily mean, minimum and maximum
temperatures (Wu and Gao, 2013). In this paper, we use 0.25<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M3" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> gridded monthly precipitation data over mainland
China. These data have been interpolated from more than 2000 gauge stations
over China. An “anomaly approach” (New et al., 2000) was applied
during the interpolation step. As meteorological stations are mainly located
in eastern China where the terrain is flatter and the economy is more
developed, CN05.1 may have large uncertainties in western China.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e267">Basic information of the forcing data sets and the MWR
precipitation data used to validate them.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Name</oasis:entry>  
         <oasis:entry colname="col2">Type</oasis:entry>  
         <oasis:entry colname="col3">Analyzed</oasis:entry>  
         <oasis:entry colname="col4">Available</oasis:entry>  
         <oasis:entry colname="col5">Variables</oasis:entry>  
         <oasis:entry colname="col6">Spatial</oasis:entry>  
         <oasis:entry colname="col7">Number of</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">period</oasis:entry>  
         <oasis:entry colname="col4">period</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">resolution</oasis:entry>  
         <oasis:entry colname="col7">sites</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CN05.1</oasis:entry>  
         <oasis:entry colname="col2">forcing data set</oasis:entry>  
         <oasis:entry colname="col3">2008–2014</oasis:entry>  
         <oasis:entry colname="col4">1961–2014</oasis:entry>  
         <oasis:entry colname="col5">precipitation</oasis:entry>  
         <oasis:entry colname="col6">0.25<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CMFD</oasis:entry>  
         <oasis:entry colname="col2">forcing data set</oasis:entry>  
         <oasis:entry colname="col3">2008–2014</oasis:entry>  
         <oasis:entry colname="col4">1979–2016</oasis:entry>  
         <oasis:entry colname="col5">precipitation; shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6">0.1<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CLDAS</oasis:entry>  
         <oasis:entry colname="col2">forcing data set</oasis:entry>  
         <oasis:entry colname="col3">2008–2014</oasis:entry>  
         <oasis:entry colname="col4">2008–2016</oasis:entry>  
         <oasis:entry colname="col5">precipitation; shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6">0.0625<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">GLDAS</oasis:entry>  
         <oasis:entry colname="col2">forcing data set</oasis:entry>  
         <oasis:entry colname="col3">2008–2014</oasis:entry>  
         <oasis:entry colname="col4">2000–2016</oasis:entry>  
         <oasis:entry colname="col5">precipitation; shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6">0.25<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MWR</oasis:entry>  
         <oasis:entry colname="col2">observation data</oasis:entry>  
         <oasis:entry colname="col3">2014</oasis:entry>  
         <oasis:entry colname="col4">2014</oasis:entry>  
         <oasis:entry colname="col5">precipitation</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">5490</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <title>CMFD</title>
      <p id="d1e501">The CMFD forcing data set was developed by the Institute of Tibetan Plateau
Research, Chinese Academy of Sciences (He and Yang, 2011). This product
covers the region 70–140<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 15–55<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and includes precipitation, downward shortwave
radiation, downward longwave radiation, 2 m air temperature, specific
humidity, wind speed and surface pressure. The Tropical Rainfall Measuring
Mission (TRMM) 3B42 precipitation product is used as the background field
for the precipitation analysis; however, this product provides relative few
data north of 40<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and no data north of 50<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. GLDAS
precipitation estimates are used as the background state in these regions.
Gauge observation data from 740 stations in the CMA network are used to
correct systematic departures in the background data. Global Energy and
Water cycle Experiment–Surface Radiation Budget (GEWEX–SRB) radiation data
are used as the background state for the CMFD shortwave radiation analysis.
As with precipitation, GLDAS is used to replace GEWEX–SRB when the latter
is unavailable. CMA station measurements of shortwave radiation (see
Sect. 2.2.2) are used to adjust this background state. Additional basic
information for these data is listed in Table 1.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <title>CLDAS</title>
      <p id="d1e547">We evaluate version 2.0 of the CLDAS data set. This data set was developed
by CMA (Shi et al., 2014) and provides hourly spatial coverage within
60–160<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and 0–65<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N on a
0.0625 <inline-formula><mml:math id="M15" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.0625<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid. The CLDAS data set
includes a variety of land-surface forcing data, including precipitation,
shortwave radiation, temperature, specific humidity, wind speed and surface
pressure, as well as soil status variables. It is a relatively new product,
with temporal coverage from 2008 to 2017. Precipitation is combined and
interpolated from two products, the Climate Prediction Center Morphing
Technique (CMORPH) analysis and an hourly merged precipitation analysis
(V1.0) produced by CMA. The latter merges observations made at automatic
weather stations in China together with CMORPH analyses using a probability
density function (PDF) and optimal interpolation (OI) algorithm (Shen et al.,
2014). Shortwave radiation is retrieved from the FY-2C/E series of
geostationary meteorological satellites. The Discrete Ordinates Radiative
Transfer Program for a Multi-Layered Plane-Parallel Medium (DISORT) method
is used for radiation transfer calculations in conducting the retrievals
(Shi et al., 2011).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <title>GLDAS</title>
      <p id="d1e590">The 0.25<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> monthly GLDAS-1 forcing data
(shortened to GLDAS in this paper) is provided by the US National
Aeronautics and Space Administration (NASA). Precipitation estimates in this
version are based on the National Oceanic and Atmospheric Administration
(NOAA) Climate Prediction Center Merged Analysis of Precipitation (CMAP),
which combines satellite data (IR and microwave) with gauge measurements.
CMAP estimates are downscaled to higher spatial and temporal resolutions
using simulated precipitation fields from the Global Data Assimilation
System (GDAS). Cloud and snow products from the Air Force Weather Agency
(AFWA) Agricultural Meteorology modeling system (AGRMET) are used to
calculate downward shortwave and longwave radiation fluxes via an
AFWA-supplied procedure (Rui and Beaudoing, 2017; Rodell et al., 2004).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Validation data set</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>MWR precipitation data</title>
      <p id="d1e630">We use precipitation observations from a rain gauge network maintained by
the Hydrology Bureau in the Ministry of Water Resources (MWR) of China (Xu
et al., 2017) as reference data for validating the forcing data sets. In this
study, we use precipitation measurements collected from rain gauges located
in Hubei, Hunan and Jiangxi provinces during 2014. These MWR-provided
precipitation data are independent of the forcing data sets, which use data
from surface stations operated by CMA. Data from 5490 stations are suitable
for inclusion in this study after quality control procedures. The locations
of these stations are shown in Fig. 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e636">Basic information for shortwave radiation observation data used to
validate the forcing data sets.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Name</oasis:entry>  
         <oasis:entry colname="col2">Type</oasis:entry>  
         <oasis:entry colname="col3">Analyzed</oasis:entry>  
         <oasis:entry colname="col4">Available</oasis:entry>  
         <oasis:entry colname="col5">Variables</oasis:entry>  
         <oasis:entry colname="col6">Spatial</oasis:entry>  
         <oasis:entry colname="col7">Number of</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">period</oasis:entry>  
         <oasis:entry colname="col4">period</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">resolution</oasis:entry>  
         <oasis:entry colname="col7">sites</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CMA</oasis:entry>  
         <oasis:entry colname="col2">observation data</oasis:entry>  
         <oasis:entry colname="col3">2008–2010</oasis:entry>  
         <oasis:entry colname="col4">different at each site</oasis:entry>  
         <oasis:entry colname="col5">shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">625</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CERN</oasis:entry>  
         <oasis:entry colname="col2">observation data</oasis:entry>  
         <oasis:entry colname="col3">2008–2014</oasis:entry>  
         <oasis:entry colname="col4">different at each site</oasis:entry>  
         <oasis:entry colname="col5">shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HiWATER</oasis:entry>  
         <oasis:entry colname="col2">observation data</oasis:entry>  
         <oasis:entry colname="col3">different at each site</oasis:entry>  
         <oasis:entry colname="col4">different at each site</oasis:entry>  
         <oasis:entry colname="col5">shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">TPE Database</oasis:entry>  
         <oasis:entry colname="col2">observation data</oasis:entry>  
         <oasis:entry colname="col3">different at each site</oasis:entry>  
         <oasis:entry colname="col4">different at each site</oasis:entry>  
         <oasis:entry colname="col5">shortwave radiation</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e810">Locations of rain gauges operated by the Ministry of Water
Resources of China, used as an independent source of precipitation data for
validating the forcing data sets.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Shortwave radiation station data</title>
      <p id="d1e825">We use two station-based shortwave radiation data sets to validate the
forcing data. The first is an estimated data set based on the station data
provided by CMA. This data set has some mutual dependence with CMFD, as it
estimates radiation fluxes using a hybrid model that is not fully
independent of the background data used for CMFD. The second station-based
data set is independent of all four forcing data sets. Figure 2 shows the
distribution of stations in these two networks, with basic information for
these data listed in Table 2.
<list list-type="order"><list-item>
      <p id="d1e830">Station-based shortwave radiation fluxes from CMA.</p>
      <p id="d1e833">Daily estimates of surface solar radiation through 2010 are provided by the
Data Assimilation and Modeling Center for Tibetan Multi-spheres
(<uri>http://dam.itpcas.ac.cn/data/daily_solar_radiation_dataset_over_China_readme.htm</uri>). This data set is produced using data from two
sources. The first source is a hybrid model (Yang et al., 2001, 2006) based
on air temperature, air pressure, relative humidity and sunshine duration
at 716 CMA stations. The other is an ANN-based (artificial neural network)
model at 96 radiation stations. Owing to the high accuracy of the ANN-based
model, these estimates are used to dynamically correct the hybrid model
estimates at monthly timescales. The ANN-based model has been trained using
recent observations to estimate historical variations in shortwave radiation
at the 96 radiation stations (Tang et al., 2013). For this validation, we
select 625 stations with full data coverage during 2008–2010.</p></list-item><list-item>
      <p id="d1e840">Independent station-based shortwave radiation fluxes.
<list list-type="alpha-lower"><list-item>
      <p id="d1e845">CERN shortwave radiation stations.</p>
      <p id="d1e848">The Chinese Ecosystem Research Network (CERN) was established in 1988 by the
Chinese Academy of Sciences (Su et al., 2005). We use observations of
shortwave radiation provided by 35 CERN field stations covering a variety of
ecosystems during 2008–2014, including farmlands, forests, grasslands,
lakes and coastal regions. As shown in Fig. 2, these stations are
distributed relatively evenly across mainland China and cover a range of
climate regimes. The CERN stations are independent of the CMA stations used
in CMFD and CLDAS, and therefore provide an ideal reference for validating
the estimates of shortwave radiation provided in these three forcing data
sets despite their relatively sparse spatial density.</p></list-item><list-item>
      <p id="d1e852">HiWATER shortwave radiation stations.</p>
      <p id="d1e855">Observations of shortwave radiation have been collected at eight stations in
the Heihe River for the Heihe Watershed Allied Telemetry Experimental
Research (HiWATER) campaign (Li et al., 2013). These data have been widely
used for land-surface process studies (Liu et al., 2016; Cheng et al., 2014).
Among the eight stations, 2–3 sites are distributed in each of the upper,
middle and lower reaches of the Heihe River basin.</p></list-item><list-item>
      <p id="d1e859">TPE shortwave radiation stations.</p>
      <p id="d1e862">Daily records of shortwave radiation from the meteorological data sets of
the Ngari Desert Observation and Research Station and the Muztagh Ata
Station for Westerly Environment Observation and Research are obtained from
the Third Pole Environment (TPE) Database (<uri>http://www.tpedatabase.cn</uri>). These
stations along the western border of China, as shown in Fig. 2, and are
used to evaluate the performance of the three forcing data sets over the
western Tibetan Plateau, where very few CMA ground stations are located.</p></list-item></list></p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e870">Locations of shortwave radiation stations in mainland China used
to validate the forcing data sets.</p></caption>
            <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f02.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p id="d1e882">Statistical metrics summarizing the spatial average and variability
of annual mean precipitation during 2008–2014.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Metrics</oasis:entry>  
         <oasis:entry colname="col2">CN05.1</oasis:entry>  
         <oasis:entry colname="col3">CMFD</oasis:entry>  
         <oasis:entry colname="col4">CLDAS</oasis:entry>  
         <oasis:entry colname="col5">GLDAS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Mean (mm yr<inline-formula><mml:math id="M20" 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></oasis:entry>  
         <oasis:entry colname="col2">612.09</oasis:entry>  
         <oasis:entry colname="col3">637.65</oasis:entry>  
         <oasis:entry colname="col4">508.58</oasis:entry>  
         <oasis:entry colname="col5">609.44</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SD (mm yr<inline-formula><mml:math id="M21" 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></oasis:entry>  
         <oasis:entry colname="col2">497.61</oasis:entry>  
         <oasis:entry colname="col3">511.09</oasis:entry>  
         <oasis:entry colname="col4">429.50</oasis:entry>  
         <oasis:entry colname="col5">506.55</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CV</oasis:entry>  
         <oasis:entry colname="col2">0.81</oasis:entry>  
         <oasis:entry colname="col3">0.80</oasis:entry>  
         <oasis:entry colname="col4">0.84</oasis:entry>  
         <oasis:entry colname="col5">0.83</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1010">Spatial distributions of annual-mean precipitation over 2008–2014
(unit: mm yr<inline-formula><mml:math id="M22" 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>) from <bold>(a)</bold> CN05.1, <bold>(b)</bold> CMFD, <bold>(c)</bold> CLDAS and <bold>(d)</bold> GLDAS.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f03.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p id="d1e1046">Statistical metrics summarizing the performance of monthly
precipitation estimates based on forcing data sets in 2014 relative to MWR
rain gauge observations (unit: mm month<inline-formula><mml:math id="M23" 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> for monthly data and mm yr<inline-formula><mml:math id="M24" 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> for annual data).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <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="left"/>
     <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:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Bias </oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry rowsep="1" namest="col7" nameend="col10" align="center">RMSE </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Time</oasis:entry>  
         <oasis:entry colname="col2">CN05.1</oasis:entry>  
         <oasis:entry colname="col3">CMFD</oasis:entry>  
         <oasis:entry colname="col4">CLDAS</oasis:entry>  
         <oasis:entry colname="col5">GLDAS</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">CN05.1</oasis:entry>  
         <oasis:entry colname="col8">CMFD</oasis:entry>  
         <oasis:entry colname="col9">CLDAS</oasis:entry>  
         <oasis:entry colname="col10">GLDAS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Jan</oasis:entry>  
         <oasis:entry colname="col2">23.62</oasis:entry>  
         <oasis:entry colname="col3">2.37</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M25" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.85</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M26" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">29.53</oasis:entry>  
         <oasis:entry colname="col8">19.70</oasis:entry>  
         <oasis:entry colname="col9">8.90</oasis:entry>  
         <oasis:entry colname="col10">8.26</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Feb</oasis:entry>  
         <oasis:entry colname="col2">48.04</oasis:entry>  
         <oasis:entry colname="col3">31.53</oasis:entry>  
         <oasis:entry colname="col4">4.74</oasis:entry>  
         <oasis:entry colname="col5">20.43</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">59.13</oasis:entry>  
         <oasis:entry colname="col8">59.87</oasis:entry>  
         <oasis:entry colname="col9">26.19</oasis:entry>  
         <oasis:entry colname="col10">37.15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mar</oasis:entry>  
         <oasis:entry colname="col2">61.37</oasis:entry>  
         <oasis:entry colname="col3">14.81</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.26</oasis:entry>  
         <oasis:entry colname="col5">12.50</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">77.02</oasis:entry>  
         <oasis:entry colname="col8">37.54</oasis:entry>  
         <oasis:entry colname="col9">36.43</oasis:entry>  
         <oasis:entry colname="col10">59.47</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Apr</oasis:entry>  
         <oasis:entry colname="col2">62.83</oasis:entry>  
         <oasis:entry colname="col3">17.93</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M28" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.47</oasis:entry>  
         <oasis:entry colname="col5">12.39</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">79.06</oasis:entry>  
         <oasis:entry colname="col8">47.63</oasis:entry>  
         <oasis:entry colname="col9">35.86</oasis:entry>  
         <oasis:entry colname="col10">67.15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">May</oasis:entry>  
         <oasis:entry colname="col2">66.23</oasis:entry>  
         <oasis:entry colname="col3">24.72</oasis:entry>  
         <oasis:entry colname="col4">13.32</oasis:entry>  
         <oasis:entry colname="col5">39.51</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">93.05</oasis:entry>  
         <oasis:entry colname="col8">66.51</oasis:entry>  
         <oasis:entry colname="col9">52.63</oasis:entry>  
         <oasis:entry colname="col10">105.35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Jun</oasis:entry>  
         <oasis:entry colname="col2">40.11</oasis:entry>  
         <oasis:entry colname="col3">23.59</oasis:entry>  
         <oasis:entry colname="col4">0.49</oasis:entry>  
         <oasis:entry colname="col5">19.48</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">74.53</oasis:entry>  
         <oasis:entry colname="col8">67.77</oasis:entry>  
         <oasis:entry colname="col9">50.06</oasis:entry>  
         <oasis:entry colname="col10">87.73</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Jul</oasis:entry>  
         <oasis:entry colname="col2">18.68</oasis:entry>  
         <oasis:entry colname="col3">7.38</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24</oasis:entry>  
         <oasis:entry colname="col5">1.04</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">67.86</oasis:entry>  
         <oasis:entry colname="col8">78.26</oasis:entry>  
         <oasis:entry colname="col9">59.45</oasis:entry>  
         <oasis:entry colname="col10">92.06</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Aug</oasis:entry>  
         <oasis:entry colname="col2">22.37</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M30" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>53.29</oasis:entry>  
         <oasis:entry colname="col4">3.57</oasis:entry>  
         <oasis:entry colname="col5">11.01</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">62.51</oasis:entry>  
         <oasis:entry colname="col8">78.93</oasis:entry>  
         <oasis:entry colname="col9">47.46</oasis:entry>  
         <oasis:entry colname="col10">74.30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sept</oasis:entry>  
         <oasis:entry colname="col2">4.58</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M31" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.18</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M32" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.57</oasis:entry>  
         <oasis:entry colname="col5">1.74</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">36.81</oasis:entry>  
         <oasis:entry colname="col8">45.66</oasis:entry>  
         <oasis:entry colname="col9">32.35</oasis:entry>  
         <oasis:entry colname="col10">44.09</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Oct</oasis:entry>  
         <oasis:entry colname="col2">26.07</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M33" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.59</oasis:entry>  
         <oasis:entry colname="col4">5.56</oasis:entry>  
         <oasis:entry colname="col5">8.72</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">37.11</oasis:entry>  
         <oasis:entry colname="col8">38.95</oasis:entry>  
         <oasis:entry colname="col9">27.76</oasis:entry>  
         <oasis:entry colname="col10">32.35</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Nov</oasis:entry>  
         <oasis:entry colname="col2">26.73</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M34" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.04</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M35" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.91</oasis:entry>  
         <oasis:entry colname="col5">14.36</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">37.71</oasis:entry>  
         <oasis:entry colname="col8">34.76</oasis:entry>  
         <oasis:entry colname="col9">25.95</oasis:entry>  
         <oasis:entry colname="col10">40.79</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dec</oasis:entry>  
         <oasis:entry colname="col2">8.99</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M36" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.43</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M37" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.33</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M38" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.65</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">14.90</oasis:entry>  
         <oasis:entry colname="col8">16.97</oasis:entry>  
         <oasis:entry colname="col9">9.40</oasis:entry>  
         <oasis:entry colname="col10">10.84</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Annual</oasis:entry>  
         <oasis:entry colname="col2">421.38</oasis:entry>  
         <oasis:entry colname="col3">3.80</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M39" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.93</oasis:entry>  
         <oasis:entry colname="col5">139.06</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7">403.16</oasis:entry>  
         <oasis:entry colname="col8">273.68</oasis:entry>  
         <oasis:entry colname="col9">234.39</oasis:entry>  
         <oasis:entry colname="col10">427.71</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Methodology</title>
      <p id="d1e1681">We validate estimates of precipitation and shortwave radiation on a variety
of spatial and temporal scales. Three metrics are computed from each data
set for mainland China: the area-weighted average (mean), the standard
deviation (SD) and the coefficient of variation (CV). The latter two metrics
reflect the amplitude of internal variance within the data set. Monthly
anomalies are derived by subtracting the 7-year monthly climatology. We
then use temporal coefficient of variation (TCV) to compare temporal
fluctuations across the forcing data sets. A larger value of TCV indicates
greater temporal variability. For further comparisons, CMFD and CLDAS are
resampled to match the 0.25<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid
intrinsic to the CN05.1 and GLDAS data sets using bilinear interpolation.
Validation against gauge- and station-based observations is conducted by
using a pixel–point method (Chen et al., 2013) to pair station data with the
appropriate gridded forcing data. Evaluation metrics used in this
pixel–point comparison include the root-mean-square error (RMSE) and bias.
Bias reflects the degree to which the forcing data set over- or
underestimates the reference data. Taylor diagrams (Taylor, 2001) are used to
further describe the correspondence between forcing data and reference data.
These diagrams show the ratio of standardized deviations, the correlation
coefficient and the unbiased RMSE between the forcing data and the reference
observations. These statistics can quantify how well the forcing data
resembles the observation. These metrics are formulated as follows:

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M43" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">SD</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">CV</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">SD</mml:mi><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Correlation</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">coefficient</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:msqrt><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><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>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">Bias</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Relative</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">bias</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">TCV</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>m</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is an element of the evaluated data set and  <inline-formula><mml:math id="M45" display="inline"><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the
average value for the evaluated data set; <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is an element of the
reference data set and <inline-formula><mml:math id="M47" display="inline"><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the average for the reference data set;
<inline-formula><mml:math id="M48" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of data points included in the comparison; <inline-formula><mml:math id="M49" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is the number of
months during 2008 to 2014 with valid data in both data sets; <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a
gridded monthly value of precipitation or shortwave radiation; <inline-formula><mml:math id="M51" display="inline"><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>
is the average of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2225">Time series of monthly mean precipitation anomalies from CN05.1
(black), CMFD (blue), CLDAS (orange) and GLDAS (green).</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f04.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2236">Distribution of TCV for precipitation products from <bold>(a)</bold> CN05.1,
<bold>(b)</bold> CMFD, <bold>(c)</bold> CLDAS and <bold>(d)</bold> GLDAS during 2008–2014.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f05.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <title>Evaluation of precipitation data</title>
<sec id="Ch1.S4.SS1">
  <title>Spatial distribution of precipitation</title>
      <p id="d1e2269">Figure 3 shows the spatial distributions of precipitation based on the four
forcing data sets. All four data sets capture the increase in annual mean
precipitation from northwest China to southeast China. The distributions of
precipitation based on CMFD and CN05.1 are generally similar, although these
two data sets still have some mutual discrepancies in western China (e.g.,
over the Tibetan Plateau). The area for which annual mean precipitation
exceeds 1500 mm is smaller in CLDAS and GLDAS than in CN05.1 and CMFD, and
precipitation over northern China is considerably smaller in CLDAS than in
the other three data sets. As shown in Table 3, mean precipitation over
China is significantly lower in CLDAS, while CMFD has the largest mean
value. The spatial SD and CV are more similar among the four data sets.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e2274">Comparison of the precipitation from <bold>(a)</bold> CN05.1, <bold>(b)</bold> CMFD,
<bold>(c)</bold> CLDAS and <bold>(d)</bold> GLDAS against mutually independent rain gauge observations
from MWR. The color bar on the right indicates the number of MWR rain gauges
in the corresponding 0.25<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M54" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid cell.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Temporal variations in precipitation</title>
      <p id="d1e2327">Figure 4 shows time series of monthly mean precipitation anomalies averaged
over mainland China based on the four forcing data sets. The four data sets
match each other well through most of the evaluation period, indicating that
these forcing data sets generally reproduce interannual and decadal
variability in mean precipitation averaged over mainland China. Notably,
mean precipitation anomalies based on CMFD are lower than those based on the
other data sets after August 2014. Figure 5 shows the spatial distribution
of the TCV, which represents the temporal standard deviation normalized by
the mean value in each grid cell during the 7-year analysis period. The
spatial distribution of TCV in southeast China is similar among the four
data sets, with small values through most of this region. The four data sets
also show similar distributions of normalized variance in northern China,
where interannual variability is much stronger. Values of TCV are generally
similar between CMFD and CN05.1, while CLDAS and GLDAS indicate greater
variance in most areas of northern China, especially in dry regions
(Xinjiang, Gansu and Inner Mongolia) where TCV values may exceed 1.5. The
area in which TCV exceeds 1.0 is larger in CLDAS than in the other three
forcing data sets. Likewise, the mean value of TCV averaged over major land
areas of China is largest in CLDAS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e2332">Taylor diagram summarizing the performance of monthly and annual
mean precipitation from CN05.1 (black), CMFD (blue), CLDAS (orange) and
GLDAS (green) relative to mutually independent rain gauge observations from
MWR.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <title>Comparison with MWR station data</title>
      <p id="d1e2347">Comparison of the spatial distributions of precipitation based on the four
forcing data sets reveals evident differences among these data sets in the
middle and lower reaches of the Yangtze River (red polygon in Fig. 3). We
therefore use independent MWR gauge-based observation data to further
evaluate the forcing data sets in this region. As shown in Fig. 6, annual
mean estimates of precipitation based on CMFD and CLDAS are more consistent
with the MWR observations according to the RMSE and bias metrics. Comparison
of MWR data with GLDAS and CN05.1 precipitation estimates shows RMSE values that are about twice as large as those for CLDAS. For GLDAS, the large
RMSE appears to result primarily from a poor representation of the spatial
variability in this region, as indicated by greater dispersion in the
scatter plot. For CN05.1, the large RMSE results instead from a systematic
high bias in annual mean precipitation throughout Hubei, Hunan and Jiangxi
provinces. Monthly variations in bias and RMSE for these four data sets
during 2014 are listed in Table 4. Based on these metrics, CLDAS provided
the most accurate estimates of precipitation in this region during most
months of 2014. A Taylor diagram based on these data (Fig. 7) confirms
that CLDAS performed well during this year, as the orange points
representing CLDAS are concentrated together in a region with correlation
coefficients between 0.6 and 0.9 and normalized variance close to 1,
indicating low values of unbiased RMSE. These results indicate that monthly
precipitation based on CLDAS is stable and reliable in this region. The
performance of the other three data sets varies greatly from month to month,
with particularly wide spreads for CMFD and CN05.1.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e2352">Relationships between shortwave radiation from forcing data and
shortwave radiation based on station observations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e2363">Taylor diagram summarizing the performance of shortwave radiation
estimates from CMFD (blue), CLDAS (orange) and GLDAS (green) relative to
station observations.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Evaluation of shortwave radiation data</title>
<sec id="Ch1.S5.SS1">
  <title>Comparison against ground measurements</title>
      <p id="d1e2384">We compare the forcing data sets against station observations to evaluate
their ability to reproduce the ground observations (Fig. 8). The CMFD data
set compares well with station observations from CMA (Fig. 8a), while
CLDAS (Fig. 8d) and GLDAS (Fig. 8g) are biased high relative to the
station observations at about 96 % of the validation points. This
conclusion is supported by a Taylor diagram based on these data (Fig. 9),
which shows that CMFD is highly correlated with a similar variance and an
extremely small unbiased RMSE relative to the CMA stations. Based on the
same metrics, CLDAS performs slightly better than GLDAS in reproducing
observed shortwave radiation fluxes. Although these results strongly suggest
that estimates of shortwave radiation from CMFD are more realistic than
those from CLDAS or GLDAS, their significance is called into question by the
cross-dependence between these site observations and the CMFD shortwave
radiation product (Sect. 2.2.2). To account for this problem, we also use
station observations from CERN that are completely independent of all three
forcing data sets. The results of this comparison are similar to those of
the previous comparison. Shortwave radiation products from CMFD (Fig. 8b)
coincide well with the observations, while most shortwave radiation products
from CLDAS (Fig. 8e) and GLDAS (Fig. 8h) generally overestimate the
observed fluxes. Figure 9 likewise indicates that CMFD outperforms CLDAS and
GLDAS with respect to spatiotemporal variability in these areas, while CLDAS
outperforms GLDAS.</p>
      <p id="d1e2387">As the CMA and CERN observation stations are relatively sparsely distributed
in western China, we also validate the forcing data sets against
observations of shortwave radiation at eight observation stations in the
Heihe River basin and two observation stations in western Tibetan Plateau.
CMFD (Fig. 8c) again provides the closest match with the in situ
observations, while CLDAS (Fig. 8f) and GLDAS (Fig. 8i) again
overestimate the observed fluxes. The Taylor diagram (Fig. 9) indicates
that the three forcing data sets reproduce the spatiotemporal variability at
these locations comparably well, although CLDAS produces a slightly smaller
unbiased RMSE than the other two data sets and GLDAS shows the worst
agreement with the observed values in all three metrics (correlation,
normalized variance and unbiased RMSE). The RMSE and relative bias in the
mean values at the station locations are substantially larger for CLDAS and
GLDAS than for CMFD, but GLDAS produces the largest linear correlation
coefficient between mean values at the station locations. These results are
consistent with those of previous studies. Wang et al. (2011) showed that
GLDAS estimates of shortwave radiation at the Changchun, Shenyang and Yanji
stations in China were consistently too large during 2000–2006, while Qi et al. (2015) reported that GLDAS systematically overestimated surface
shortwave radiation fluxes in the Biliu Basin (in the coastal region of
northern China) from March 2000 to December 2007.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Spatial distribution of shortwave radiation</title>
      <p id="d1e2396">As discussed in the previous section, the shortwave radiation fluxes
provided by CMFD correspond well with station-based observations. We
therefore use CMFD as a reference data set to evaluate the broader
performance of CLDAS and GLDAS within major land areas of China.</p>
      <p id="d1e2399">As shown in Fig. 10, the spatial distributions of shortwave radiation
fluxes based on the three forcing data sets have several common
characteristics. Surface shortwave radiation is consistently greater in
western China than in eastern China, with the largest shortwave
radiation fluxes located over the Tibetan Plateau and relatively small
shortwave radiation fluxes in northeastern China. Based on CMFD (Fig. 10a), the regions where surface shortwave radiation exceeds 200 W m<inline-formula><mml:math id="M56" 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>
are limited to seven provinces: Xinjiang, Inner Mongolia, Qinghai, Tibet,
Sichuan and Yunnan. Except for Tibet and Qinghai, these areas are relatively
small. By contrast, both CLDAS and GLDAS indicate that the areas where
shortwave radiation exceeds 200 W m<inline-formula><mml:math id="M57" 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> extend into northern China, and
particularly Hebei and Shandong provinces. In GLDAS, fluxes exceeding 200 W m<inline-formula><mml:math id="M58" 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> even appear in southeastern China. Area-mean fluxes based on CLDAS
and GLDAS are likewise larger than those based on CMFD, although the latter
contains more spatial heterogeneity as indicated by larger values of SD and
CV (Table 5).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e2440">Spatial distributions of annual-mean shortwave radiation based on
the three forcing data sets over 2008–2014 (unit: W m<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p id="d1e2467">Spatial distributions of differences in mean shortwave radiation
between <bold>(a)</bold> CLDAS and CMFD and <bold>(b)</bold> GLDAS and CMFD. The corresponding
histograms are shown in <bold>(c)</bold> for CLDAS–CMFD and <bold>(d)</bold> for GLDAS–CMFD.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f11.png"/>

        </fig>

      <p id="d1e2488">Spatial distributions of the differences among the forcing data sets are
shown in Fig. 11. Surface shortwave radiation fluxes based on CLDAS and
GLDAS are much larger than those based on CMFD over most parts of China.
Positive differences between CLDAS and CMFD cover more than 95 % of the
area of major land areas of China, with particularly pronounced estimates in some areas
of Xinjiang Province and the area bounded by 24–44<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 105–120<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. Estimates of surface shortwave
radiation from GLDAS are also significantly higher than those from CMFD
except for over the Tibetan Plateau. The statistical metrics listed in Table 5 show similar absolute values for the average difference, RMSE and relative
bias, although the differences between CLDAS and CMFD are slightly less than
those between GLDAS and CMFD for all three metrics. Correlation coefficients
between the three forcing data sets are consistently around 0.9. Overall,
CLDAS and GLDAS are similar, with overestimates relative to CMFD in most
regions of major land areas of China.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><caption><p id="d1e2512">Statistical metrics describing the spatial average and variability
of annual mean shortwave radiation during 2008–2014, along with the average
difference, RMSE, bias and correlation coefficient relative to CMFD.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Metrics</oasis:entry>  
         <oasis:entry colname="col2">CMFD</oasis:entry>  
         <oasis:entry colname="col3">CLDAS</oasis:entry>  
         <oasis:entry colname="col4">GLDAS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Mean (W m<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">178.60</oasis:entry>  
         <oasis:entry colname="col3">202.26</oasis:entry>  
         <oasis:entry colname="col4">203.13</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SD (W m<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">31.13</oasis:entry>  
         <oasis:entry colname="col3">28.82</oasis:entry>  
         <oasis:entry colname="col4">20.99</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CV</oasis:entry>  
         <oasis:entry colname="col2">0.17</oasis:entry>  
         <oasis:entry colname="col3">0.14</oasis:entry>  
         <oasis:entry colname="col4">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Average difference (W m<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">23.72</oasis:entry>  
         <oasis:entry colname="col4">24.57</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RMSE (W m<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">27.55</oasis:entry>  
         <oasis:entry colname="col4">28.61</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Relative bias</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">0.14</oasis:entry>  
         <oasis:entry colname="col4">0.15</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Correlation coefficient</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">0.89</oasis:entry>  
         <oasis:entry colname="col4">0.92</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S5.SS3">
  <title>Temporal variations in shortwave radiation</title>
      <p id="d1e2718">Figure 12 shows time series of shortwave radiation anomalies averaged over
mainland China. CMFD and CLDAS generally match each other well, particularly
during the middle part of the record, but with different amplitudes of
month-to-month variations. GLDAS indicates the largest fluctuations relative
to the mean annual cycle among these three data sets. The absolute
difference between GLDAS and CMFD exceeds that between CLDAS and CMFD in 52
of 84 months. CLDAS consistently shows positive anomalies after year 2013
and primarily shows negative anomalies before January 2011. These changes
suggest a potential drift relative to the climatological annual cycle during
the analysis period. No such drift is evident in CMFD. Mean shortwave
radiation from GLDAS was also consistently larger than its climatological
annual cycle through most of 2012–2014. Table 6 summarizes the temporal
variations in shortwave radiation based on CLDAS and GLDAS relative to CMFD.
The two data sets perform comparably with respect to CMFD based on these
summary statistics, with CLDAS showing slightly smaller values of RMSE and
bias and GLDAS showing a slightly higher correlation relative to CMFD.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p id="d1e2723">Time series of monthly mean shortwave radiation anomalies
relative to the mean annual cycle from CMFD (blue), CLDAS (orange) and GLDAS
(green; unit: W m<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f12.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p id="d1e2749">Spatial distributions of TCV for shortwave radiation products
from the three forcing data sets.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://hess.copernicus.org/articles/21/5805/2017/hess-21-5805-2017-f13.png"/>

        </fig>

      <p id="d1e2759">The spatial pattern of TCV for shortwave radiation of the three forcing data
sets have some common characteristics: the highest TCV appears in northwest
and northeast China while the smallest TCV can be found in southwest China.
For south of 34<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, the TCV of CLDAS is lower than 0.25 while
CMFD is higher than 0.25 in the southeast. In addition, the estimation of
TCV in CMFD and GLDAS has an obviously higher value in the vicinity of
Sichuan Province and Chongqing Province than the surrounding areas. The TCV
values of the three data sets are similar to each other north of 34<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
and the difference mainly lies in the south of China. The characteristics
mentioned above are shown in Fig. 13.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6"><caption><p id="d1e2783">Statistical metrics for monthly mean shortwave radiation anomalies
among forcing data sets during 2008–2014.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Metrics</oasis:entry>  
         <oasis:entry colname="col2">CLDAS-CMFD</oasis:entry>  
         <oasis:entry colname="col3">GLDAS-CMFD</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">RMSE (W m<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">5.14</oasis:entry>  
         <oasis:entry colname="col3">5.79</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Relative bias</oasis:entry>  
         <oasis:entry colname="col2">1.14</oasis:entry>  
         <oasis:entry colname="col3">1.66</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Correlation coefficient</oasis:entry>  
         <oasis:entry colname="col2">0.50</oasis:entry>  
         <oasis:entry colname="col3">0.62</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S6">
  <title>Discussion</title>
      <p id="d1e2872">Although these forcing data sets have many characteristics in common and can
accurately reflect the broad features of precipitation and shortwave
radiation over major land areas of China, our analysis identifies many important
differences. These differences arise from multiple factors, including
different resolutions, different underlying data and different algorithms
for combining those data.</p>
      <p id="d1e2875">We have compared the spatial distributions of precipitation in the forcing
data sets and evaluated their quality in the middle and lower reaches of the
Yangtze River. CLDAS performs better at both annual and monthly timescales
because it merges observations from more than 30 000 stations, which has
substantial benefits for the quality of the analysis. CMFD is able to
reproduce annual mean values, but is less realistic at monthly scales. The
sharp decrease in the CMFD precipitation analysis after August 2014 is
particularly surprising. Relative to CN05.1 and CLDAS, CMFD used fewer
precipitation observations from a smaller selection of stations, which may
influence the quality of its analysis in 2014. GLDAS is a global data set.
The accuracy of this data set in major land areas of China may thus be limited by a
dearth of assimilated observations in China. Although both CMFD and GLDAS
use remote sensing data as the initial background state, they differ
considerably due to differences in both the satellite data and the station
data they use. CN05.1 was constructed solely from station data based on a
mathematical interpolation. It is therefore reasonable that CN05.1 does not
perform as well as the other forcing data sets in regions where stations are
sparse.</p>
      <p id="d1e2878">With respect to shortwave radiation, we find that CMFD significantly
outperforms CLDAS and GLDAS. Only about 100 sparsely distributed radiation
stations have been deployed in China since 1961, and the radiation
observations reported by these stations are often unusable due to erroneous
values or missing data (Shi et al., 2008). The observations of surface solar
radiation available for merging into CLDAS and GLDAS are therefore limited.
By contrast, CMFD assimilated a 50-year reconstruction of daily surface
solar radiation at 716 CMA stations (Sect. 2.1.2). Although these data are
based on model outputs, they have been widely validated and show good
performance throughout China. The shortwave radiation products provided by
CMFD are therefore in better agreement with direct observations.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e2887">In recent years, an increasing number of forcing data sets have been
developed to support climatological, agricultural and hydrological research.
In this study, we have presented an intercomparison and evaluation of
precipitation and shortwave radiation products from the CN05.1, CMFD, CLDAS
and GLDAS forcing data sets over major land areas of China. The results provide useful
guidance to the users and producers of these data sets.</p>
      <p id="d1e2890">For precipitation, all four forcing data sets show similar spatial
distributions, with a positive gradient in precipitation from northwestern
China to southeastern China. Precipitation estimates from CLDAS are
systematically smaller than those from the other data sets in most areas of China. The temporal variability of monthly mean precipitation
anomalies is generally consistent among the four forcing data sets, except
for a sudden decrease in CMFD precipitation after August 2014. The spatial
distribution of temporal variability (as represented by TCV) is inversely
related to the spatial distribution of precipitation amount, with larger
variability in dry regions than in wet regions. Variability is also larger
in CLDAS than in the other data sets, as is the area where TCV exceeds 1.0.
We have validated the forcing data sets against independent rain gauge
observations provided by MWR for the middle and lower reaches of the Yangtze
River valley during 2014. Based on this validation, CLDAS provides the best
performance at both annual and monthly timescales, with the lowest RMSE and
highest correlation coefficient among the four forcing data sets. CMFD
provides good estimates of annual mean precipitation at the MWR stations,
but this agreement is considerably reduced at monthly timescales. CN05.1
greatly overestimates precipitation in this region relative to the MWR
observations.</p>
      <p id="d1e2893">For shortwave radiation, comparisons against ground-based observations show
that both CLDAS and GLDAS substantially overestimate shortwave radiation.
These data also have much higher RMSEs and biases relative to direct
observations, and relatively low correlation coefficients. CLDAS slightly
outperforms GLDAS; however, CMFD significantly outperforms both with respect
to the validation data. All forcing data sets capture the key features of
the spatial distribution of shortwave radiation, with higher values in
western China than eastern China and the largest values centered over the
Tibetan Plateau. The spatial characteristics of CLDAS and GLDAS are
especially similar, with both data sets indicating much larger shortwave
fluxes than CMFD in most parts of major land areas of China. Differences between CLDAS
and CMFD are generally smaller than those between GLDAS and CMFD. Time
series of anomalies in area-mean shortwave radiation averaged over China
show large fluctuations in GLDAS and a gradual drift in CLDAS. Estimates
from CMFD are more stable. Temporal variability in the three forcing data
sets is more similar north of 34<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, with larger differences in
the south. All three data sets indicate that shortwave radiation is more
variable over northern China than over southern China.</p>
      <p id="d1e2905">In summary, none of these data sets clearly outperforms the others with
respect to both precipitation and shortwave radiation. CLDAS, which has the
highest spatial and temporal resolution, appears to provide the most
realistic estimates of precipitation. However, this data set also
considerably overestimates shortwave radiation. CMFD is also available at
high resolution, and its estimates of shortwave radiation data match well
with station-based observations. Its estimates of annual mean precipitation
are also reliable, but this reliability at annual timescales masks
relatively large errors in monthly precipitation. GLDAS estimates of both
precipitation and shortwave radiation over major land areas of China have considerable
room for improvement, as do CN05.1 estimates of precipitation, particularly
in regions where station data are sparse. These products are widely used and
continually being developed and improved. Our results will help researchers
to make more informed decisions when selecting data, contribute to
uncertainty quantification and provide guidelines that can help data
providers to improve these data sets and others like them. Our results also
highlight the large uncertainties that remain in currently available forcing
data, especially in western China, where the density of ground stations is
low. There is a great need to improve the quality of forcing data in this
region.</p>
</sec>

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

      <p id="d1e2912">CMFD can be downloaded through <ext-link xlink:href="https://doi.org/10.3972/westdc.002.2014.db" ext-link-type="DOI">10.3972/westdc.002.2014.db</ext-link> (He and Yang, 2011).
CLDAS (Shi et al., 2014) is provided by the China Meteorological Data Sharing Service System (<uri>http://data.cma.cn/data/detail/dataCode/NAFP_CLDAS2.0_NRT/keywords/CLDAS.html</uri>).
GLDAS can be downloaded through <ext-link xlink:href="https://doi.org/10.5067/7NP2052IA62C" ext-link-type="DOI">10.5067/7NP2052IA62C</ext-link> (Rodell et al., 2004). CN05.1 (Wu and Gao, 2013) and MWR (Xu et al., 2017) data are available upon request to the
corresponding author. CMA shortwave radiation data are provided by the Data Assimilation and Modeling Center for Tibetan Multi-spheres
(<uri>http://dam.itpcas.ac.cn/data/daily_solar_radiation_dataset_over_China_readme.htm</uri>; Tang et al., 2013).
Shortwave radiation data from CERN are provided by the Chinese Ecosystem Research Network through <uri>http://cerndis1.cern.ac.cn/data/meta?id=17046</uri> (Su et al., 2005).
Shortwave radiation data from HiWATER are provided by Heihe Watershed Allied Telemetry Experimental Research (HiWATER; Li et al., 2013), and users can
download the data from <uri>http://www.heihedata.org/data/</uri>. Shortwave radiation data from TPE are provided by the Third Pole Environment
Database (<ext-link xlink:href="https://doi.org/10.11888/AtmosphericPhysics.tpe.62.db" ext-link-type="DOI">10.11888/AtmosphericPhysics.tpe.62.db</ext-link>  and  <ext-link xlink:href="https://doi.org/10.11888/Hydrology.tpe.249426.db" ext-link-type="DOI">10.11888/Hydrology.tpe.249426.db</ext-link>).</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e2943">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2949">This work was jointly supported by the National Basic Research Program of
China (no. 2015CB953703), the National Natural Science Foundation of China
(91537210 &amp; 41371328) and the National Key Research and Development
Program of China (2016YFA0601603). We are grateful to Xuejie Gao at IAP for providing CN05.1 and to Chunxiang Shi at CMA for providing  CLDAS.
The GLDAS data used in this study were acquired as part of the mission of
NASA's Earth Science Division and archived and distributed by the Goddard
Earth Sciences (GES) Data and Information Services Center (DISC). The
authors also wish to thank the Third Pole Environment Database, CERN
Database and HiWATER Project for provide shortwave radiation station data.
The computation for this work is supported by Tsinghua National Laboratory
for Information Science and Technology. We acknowledge reviewers for their
insightful and constructive comments which improved the manuscript
substantially.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Fuqiang Tian<?xmltex \hack{\newline}?>
Reviewed by: three anonymous referees</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Evaluation of multiple forcing data sets for precipitation and shortwave radiation over major land areas of China</article-title-html>
<abstract-html><p class="p">Precipitation and shortwave radiation play important roles in
climatic, hydrological and biogeochemical cycles. Several global and
regional forcing data sets currently provide historical estimates of these
two variables over China, including the Global Land Data Assimilation System
(GLDAS), the China Meteorological Administration (CMA) Land Data
Assimilation System (CLDAS) and the China Meteorological Forcing Dataset
(CMFD). The CN05.1 precipitation data set, a gridded analysis based on CMA
gauge observations, also provides high-resolution historical precipitation
data for China. In this study, we present an intercomparison of
precipitation and shortwave radiation data from CN05.1, CMFD, CLDAS and
GLDAS during 2008–2014. We also validate all four data sets against
independent ground station observations. All four forcing data sets capture
the spatial distribution of precipitation over major land areas of China, although
CLDAS indicates smaller annual-mean precipitation amounts than CN05.1, CMFD
or GLDAS. Time series of precipitation anomalies are largely consistent
among the data sets, except for a sudden decrease in CMFD after August 2014.
All forcing data indicate greater temporal variations relative to the mean
in dry regions than in wet regions. Validation against independent
precipitation observations provided by the Ministry of Water Resources (MWR)
in the middle and lower reaches of the Yangtze River indicates that CLDAS
provides the most realistic estimates of spatiotemporal variability in
precipitation in this region. CMFD also performs well with respect to annual
mean precipitation, while GLDAS fails to accurately capture much of the
spatiotemporal variability and CN05.1 contains significant high biases
relative to the MWR observations. Estimates of shortwave radiation from CMFD
are largely consistent with station observations, while CLDAS and GLDAS
greatly overestimate shortwave radiation. All three forcing data sets
capture the key features of the spatial distribution, but estimates from
CLDAS and GLDAS are systematically higher than those from CMFD over most of
mainland China. Based on our evaluation metrics, CLDAS slightly outperforms
GLDAS. CLDAS is also closer than GLDAS to CMFD with respect to temporal
variations in shortwave radiation anomalies, with substantial differences
among the time series. Differences in temporal variations are especially
pronounced south of 34° N. Our findings provide valuable guidance
for a variety of stakeholders, including land-surface modelers and data
providers.</p></abstract-html>
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