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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-22-4667-2018</article-id><title-group><article-title>The potential of global reanalysis datasets in identifying flood events in Southern Africa</article-title><alt-title>The potential of global reanalysis datasets</alt-title>
      </title-group><?xmltex \runningtitle{The potential of global reanalysis datasets}?><?xmltex \runningauthor{G. J. Gr\"{u}ndemann et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Gründemann</surname><given-names>Gaby J.</given-names></name>
          <email>g.j.gruendemann@tudelft.nl</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Werner</surname><given-names>Micha</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4198-5638</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Veldkamp</surname><given-names>Ted I. E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2295-8135</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Water Science &amp; Engineering, IHE Delft Institute for Water Education, 2601 DA, Delft, the Netherlands</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Water Resources Section, Faculty of Civil Engineering and Geosciences, Delft University of Technology, <?xmltex \hack{\break}?>2628 CN, Delft, the Netherlands</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Operational Water Management, Deltares, 2629 HV, Delft, the Netherlands</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Water &amp; Climate Risk, Institute for Environmental Studies (IVM), VU University Amsterdam, <?xmltex \hack{\break}?>1081 HV, Amsterdam, the Netherlands</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Water Department, International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Gaby J. Gründemann (g.j.gruendemann@tudelft.nl)</corresp></author-notes><pub-date><day>6</day><month>September</month><year>2018</year></pub-date>
      
      <volume>22</volume>
      <issue>9</issue>
      <fpage>4667</fpage><lpage>4683</lpage>
      <history>
        <date date-type="received"><day>29</day><month>March</month><year>2018</year></date>
           <date date-type="rev-request"><day>9</day><month>April</month><year>2018</year></date>
           <date date-type="rev-recd"><day>15</day><month>August</month><year>2018</year></date>
           <date date-type="accepted"><day>20</day><month>August</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018.html">This article is available from https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018.pdf</self-uri>
      <abstract>
    <p id="d1e130">Sufficient and accurate hydro-meteorological data are essential to manage
water resources. Recently developed global reanalysis datasets have
significant potential in providing these data, especially in regions such as
Southern Africa that are both vulnerable and data poor. These global
reanalysis datasets have, however, not yet been exhaustively validated and it
is thus unclear to what extent these are able to adequately capture the
climatic variability of water resources, in particular for extreme events
such as floods. This article critically assesses the potential of a recently
developed global Water Resources Reanalysis (WRR) dataset developed in the
European Union's Seventh Framework Programme (EU-FP7) eartH2Observe (E2O)
project for identifying floods, focussing on the occurrence of floods in the
Limpopo River basin in Southern Africa. The discharge outputs of seven global
models and ensemble mean of those models as available in the WRR dataset are
analysed and compared against two benchmarks of flood events in the Limpopo
River basin. The first benchmark is based on observations from the available
stations, while the second is developed based on flood events that have led
to damages as reported in global databases of damaging flood events. Results
show that, while the WRR dataset provides useful data for detecting the
occurrence of flood events in the Limpopo River basin, variation exists
amongst the global models regarding their capability to identify the
magnitude of those events. The study also reveals that the models are better
able to capture flood events at stations with a large upstream catchment
area. Improved performance for most models is found for the 0.25<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution global model, when compared to the lower-resolution 0.5<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
models, thus underlining the added value of increased-resolution global
models. The skill of the global hydrological models (GHMs) in identifying the
severity of flood events in poorly gauged basins such as the Limpopo can be
used to estimate the impacts of those events using the benchmark of reported
damaging flood events developed at the basin level, though this could be
improved if further details on location and impacts are included in disaster
databases. Large-scale models such as those included in the WRR dataset are
used by both global and continental forecasting systems, and this study sheds
light on the potential these have in providing information useful for
local-scale flood risk management. In conclusion, this study offers valuable
insights in the applicability of global reanalysis data for identifying
impacting flood events in data-sparse regions.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <?pagebreak page4668?><p id="d1e158">Floods are among the most common and destructive natural hazards globally
<xref ref-type="bibr" rid="bib1.bibx32" id="paren.1"/>. Approximately 90 % of disasters worldwide in the
last decades were caused by weather-related events. Among them, floods are
the most frequent and affected 2.3 billion people between 1995 and 2015
<xref ref-type="bibr" rid="bib1.bibx60" id="paren.2"/>. It is generally acknowledged that, due to projected
climate and socio-economic changes, extreme events such as floods may further
increase in frequency, magnitude and intensity
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx31 bib1.bibx61 bib1.bibx62" id="paren.3"/><?xmltex \hack{\egroup}?>. In order to
minimize the negative effects of floods, disaster risk reduction is
increasingly important <xref ref-type="bibr" rid="bib1.bibx59" id="paren.4"/>. The urgency of mitigating flood
risks is also recognized by international agreements, such as the Sendai
Framework for Disaster Risk Reduction <xref ref-type="bibr" rid="bib1.bibx61" id="paren.5"/>, which underlines
the understanding of disaster risk including the hazard characteristics as a
first priority. Developing adequate knowledge of past flood events is
essential in order to sufficiently address this global problem
<xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx53" id="paren.6"/> and to further reduce the consequences of
future disastrous events.</p>
      <p id="d1e182">Accurate data are key to developing a reliable representation of floods. While
hydro-meteorological data are collected and made available in many places,
most developing countries still struggle with limited availability due to
inconsistent methodologies and datasets
<xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx51 bib1.bibx59" id="paren.7"/>. This may for example be because of
the lack of rain and discharge gauges due to insufficient resources as a
consequence of socio-economic issues <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx53" id="paren.8"/>. One
of the regions where data availability is poor is (Southern) Africa
<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx43 bib1.bibx59 bib1.bibx62" id="paren.9"/>. Not only is there
a general lack of data, but the available data and resources are also not
evenly distributed across the riparian countries, with most gauges in South
Africa <xref ref-type="bibr" rid="bib1.bibx54" id="paren.10"/>. While the country of South Africa is relatively
rich in terms of data, technology and knowledge, many of its neighbouring
countries are not <xref ref-type="bibr" rid="bib1.bibx53" id="paren.11"/>. This lack of spatially consistent
datasets is a particular issue in this region, as many of the larger river
basins are transboundary, and extreme events are often linked to phenomena on
a wider, regional scale, such as cyclones <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx44" id="paren.12"/>.</p>
      <p id="d1e204">To address the issue of floods in data-poor regions, increasingly available
global datasets, such as global reanalysis data, may have significant
potential. Reanalysis datasets are the result of a combination of earth
observations, as well as various models and datasets containing in situ
measurements <xref ref-type="bibr" rid="bib1.bibx49" id="paren.13"/>. Currently there are several reanalysis
datasets available at a global scale and applicable to water resources, such
as ERA-Interim/Land <xref ref-type="bibr" rid="bib1.bibx8" id="paren.14"/>, GLDAS <xref ref-type="bibr" rid="bib1.bibx47" id="paren.15"/>, Global
Water Cycle Reanalysis <xref ref-type="bibr" rid="bib1.bibx65" id="paren.16"/>, GSWP-2 <xref ref-type="bibr" rid="bib1.bibx18" id="paren.17"/>,
WATCH <xref ref-type="bibr" rid="bib1.bibx27" id="paren.18"/> and WRR <xref ref-type="bibr" rid="bib1.bibx49" id="paren.19"/>. These datasets
provide consistent hydro-meteorological data with a global coverage, spanning
several decades. Hence, they have significant potential to fill data gaps in
regions such as Southern Africa
<xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx59 bib1.bibx66 bib1.bibx70" id="paren.20"/>. Datasets containing different
global model outputs have thus far been used to determine climatic extremes
as well as their uncertainties at the global or continental scale. For
instance, <xref ref-type="bibr" rid="bib1.bibx71" id="text.21"/> evaluated the influence of different river-routing
schemes in the various global hydrological models (GHMs) on peak discharge
simulation. <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx16" id="text.22"/><?xmltex \hack{\egroup}?> compared the 30-year return period
level of river discharge calculated using nine different global models
regarding their projections of climate change impacts on flood hazards
worldwide. <xref ref-type="bibr" rid="bib1.bibx59" id="text.23"/> assessed the ability of six global models
regarding their skill to produce hazard maps for the African continent.
However, they note that there has thus far been limited validation of these
global flood models against observed floods.</p>
      <p id="d1e244">This study assesses the potential of a recently developed state-of-the-art
global Water Resources Reanalysis (WRR;
<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.24"/>) dataset in identifying damaging flood events for
data-poor regions such as the Limpopo River basin. The Limpopo River basin is
a transboundary Southern African basin typical of the aforementioned data
issues, including a general lack of data as well as an asymmetrical
distribution of data availability across the riparian countries. The dataset
used in this study is the open-source global Water Resources
Reanalysis dataset developed in the
eartH2Observe (E2O) research project, a collaborative project funded under
the European Union's Seventh Framework Programme (EU-FP7)
<xref ref-type="bibr" rid="bib1.bibx49" id="paren.25"/>. The WRR dataset is assessed against two benchmarks.
The first benchmark is developed using observed discharges from reliable
gauges available in the region. As the upstream catchment area of these
gauges varies, this provides insight into (i) the skill of the global dataset
in identifying the occurrence and magnitude of flood events in the basin and
(ii) how this skill is related to catchment scale. The second benchmark
considers reported damaging flood events in the basin. Reported events from
three disaster databases, including the Emergency Events Database (EM-DAT),
the Global Active Archive of Large Flood Events (GAALFE) and the Natural
Catastrophe Service (NatCatSERVICE), were collated to develop a chronology of
damaging events. The ability of the global model datasets in identifying such
damaging events provides insight into the potential of the global models to
be able to predict the occurrence of impacting flood events. There is a
critical need for both higher-resolution reanalysis supporting data and flood
forecasting systems to properly capture timing, intensity and location of
flood impacts. Global models such as those considered in this study are
employed by several global and continental flood forecasting systems, such as
the Global Flood Awareness System (GloFAS) <xref ref-type="bibr" rid="bib1.bibx3" id="paren.26"/> and the
African Flood Forecasting System <xref ref-type="bibr" rid="bib1.bibx54" id="paren.27"/>, and this assessment
sheds light on the potential these have in providing information that is
useful to managing floods at the regional and sub-basin scale. We also
consider of scientific interest that, for both the coarser- and the
finer-resolution models, the threshold up<?pagebreak page4669?> to which the models are still able
to capture the hydrology is on the order of the cell size. This holds promise
for the continuing effort of modelling research groups in developing
increased resolution (global models).</p>
      <p id="d1e260">The remainder of this paper is structured as follows. Section 2 provides the
materials and methods used, a description of the study area, data and
verification methods. The results (Sect. 3) reveal the skill of the models in
capturing the reported as well as modelled flood events. Section 4 provides a
discussion of those results, as well as limitations and suggestions for
further research. Conclusions are provided in Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Study area</title>
      <p id="d1e274">The Limpopo River basin is a transboundary river basin located in the east of
Southern Africa, between latitudes 20–26<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and longitudes
25–35<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. With a length of approximately 4000 km and a total
drainage area of nearly 413 000 km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, it is one of the largest basins in
Southern Africa <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx38 bib1.bibx58" id="paren.28"/>. The basin is
shared by four riparian countries: South Africa, Botswana, Mozambique and
Zimbabwe, as shown on Fig. 1. The climate in the basin is predominantly dry,
semi-arid and hot <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx58" id="paren.29"/>. The upstream part is located
in the Kalahari Desert, while further downstream the climate transitions
from an arid desert to a hot and dry steppe and eventually to a dry tropical
savannah.</p>
      <p id="d1e310">Precipitation in the basin varies significantly and is highly seasonal
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.30"/>. Mean annual rainfall is approximately 530 mm, ranging
between circa 270 and 1160 mm <xref ref-type="bibr" rid="bib1.bibx9" id="paren.31"/>. Some 95 % of the
rainfall falls during the austral summer months between October and March,
with the monsoonal rainfall events interspersed with dry spells.
Precipitation events during the wet season are spatially as well as temporary
isolated <xref ref-type="bibr" rid="bib1.bibx22" id="paren.32"/>. The run-off ratio of the Limpopo River basin is low
<xref ref-type="bibr" rid="bib1.bibx57" id="paren.33"/>, which is characteristic for arid and semi-arid regions
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.34"/> and is exacerbated in the Limpopo basin by water
abstractions for irrigation and domestic use. The basin faces significant
transmission losses, resulting in a decline of flow along the length of the
river <xref ref-type="bibr" rid="bib1.bibx69" id="paren.35"/>. Large sections of the main stem, especially near the
mouth, have a dry river bed during the dry season <xref ref-type="bibr" rid="bib1.bibx36" id="paren.36"/>. However,
flood waters can rise quickly, especially in the floodplains around Chokwe
in Mozambique, where the mean flood peak can raise water levels some 5 m above normal levels, with levels 12 m above normal observed
during the severe floods of the year 2000 <xref ref-type="bibr" rid="bib1.bibx69" id="paren.37"/>. Furthermore, the
river basin has been modified to a large extent, with many dams, irrigation
schemes and storage reservoirs
<xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx6 bib1.bibx36 bib1.bibx50" id="paren.38"/>.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e343">Map of Limpopo River basin with the riparian countries, major
tributaries and the seven regions in the basin that were identified for this
research. Also shown are the major dams (blue circle) and the river gauging
stations with at least 25 years of data between 1980 and 2012 (black
triangle). The stations used to illustrate the flood frequency analysis in
Sect. 3.2.1 are shown by a square (located upstream in the Spookspruit
tributary; 252 km<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) and a diamond (located at the main stem of the
Limpopo River; 98 240 km<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f01.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Input data</title>
      <p id="d1e378">Input data in this research were provided by the publicly available WRR
dataset that was developed within the E2O research initiative
<xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx20 bib1.bibx21 bib1.bibx49" id="paren.39"/>. This dataset
includes the outputs of 10 different global models that are available at two
resolutions and time ranges, denoted WRR1 and WRR2. WRR1 has a 0.5<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution (approximately 50 km at the equator) from 1979 to 2012 with the
models forced by the Watch Forcing Data applied to ERA-Interim data (WFDEI)
meteorological reanalysis dataset <xref ref-type="bibr" rid="bib1.bibx68" id="paren.40"/>. WRR2, on the other
hand, has a 0.25<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution from 1980 to 2014, and all models were
forced using the Multi-Source Weighted-Ensemble Precipitation (MSWEP) dataset
<xref ref-type="bibr" rid="bib1.bibx9" id="paren.41"/>. Apart from the different forcing and spatial resolution,
the model algorithms were also improved, such as by a better representation
of hydrological processes and by integrating earth observation data
<xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx21" id="paren.42"/>. More information on the WRR dataset and the
improvements can be found in <xref ref-type="bibr" rid="bib1.bibx4" id="text.43"/>,
<xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx21" id="text.44"/>, <xref ref-type="bibr" rid="bib1.bibx49" id="text.45"/> and Table <xref ref-type="table" rid="Ch1.T1"/>.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e426">Overview of the seven global models in the Water Resources Reanalysis dataset that include daily river discharges.
n/a means not applicable.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.9}[.9]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="68.286614pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="42.679134pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="85.358268pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="42.679134pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="42.679134pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="71.13189pt"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="113.811024pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry colname="col2">Model type</oasis:entry>
         <oasis:entry colname="col3">Changes in WRR2</oasis:entry>
         <oasis:entry colname="col4">Lakes and reservoirs</oasis:entry>
         <oasis:entry colname="col5">Water use</oasis:entry>
         <oasis:entry colname="col6">Routing</oasis:entry>
         <oasis:entry colname="col7">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">HTESSEL-CaMa</oasis:entry>
         <oasis:entry colname="col2">LSM</oasis:entry>
         <oasis:entry colname="col3">Multi-layer snow <?xmltex \hack{\hfill\break}?>scheme, increased no. of soil layers.</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">CaMa-Flood</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx7" id="text.46"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">LISFLOOD</oasis:entry>
         <oasis:entry colname="col2">GHM</oasis:entry>
         <oasis:entry colname="col3">Increased no. of soil<?xmltex \hack{\hfill\break}?>layers, groundwater abstraction.</oasis:entry>
         <oasis:entry colname="col4">Yes</oasis:entry>
         <oasis:entry colname="col5">Yes</oasis:entry>
         <oasis:entry colname="col6">Double kinematic <?xmltex \hack{\hfill\break}?>wave</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx64" id="text.47"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ORCHIDEE</oasis:entry>
         <oasis:entry colname="col2">LSM</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Linear cascade of <?xmltex \hack{\hfill\break}?>reservoirs</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx33" id="text.48"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">PCR-GLOBWB</oasis:entry>
         <oasis:entry colname="col2">GHM</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">WRR1 only lakes</oasis:entry>
         <oasis:entry colname="col5">Not in <?xmltex \hack{\hfill\break}?>WRR1</oasis:entry>
         <oasis:entry colname="col6">Travel time</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx63" id="text.49"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SURFEX-TRIP</oasis:entry>
         <oasis:entry colname="col2">LSM</oasis:entry>
         <oasis:entry colname="col3">Ground water, flood plains, land use, plant growth, surface energy and snow.</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">TRIP with stream</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx17" id="text.50"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WaterGAP3</oasis:entry>
         <oasis:entry colname="col2">GHM</oasis:entry>
         <oasis:entry colname="col3">Assimilation of soil water estimates, reservoir management.</oasis:entry>
         <oasis:entry colname="col4">Yes</oasis:entry>
         <oasis:entry colname="col5">Yes</oasis:entry>
         <oasis:entry colname="col6">Manning–Strickler</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx23" id="text.51"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">W3RA</oasis:entry>
         <oasis:entry colname="col2">GHM</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">No</oasis:entry>
         <oasis:entry colname="col5">No</oasis:entry>
         <oasis:entry colname="col6">Cascading linear<?xmltex \hack{\hfill\break}?>reservoirs</oasis:entry>
         <oasis:entry colname="col7"><xref ref-type="bibr" rid="bib1.bibx65" id="text.52"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ensemble of 7 <?xmltex \hack{\hfill\break}?>models</oasis:entry>
         <oasis:entry colname="col2">GHM and<?xmltex \hack{\hfill\break}?>LSM</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Various</oasis:entry>
         <oasis:entry colname="col5">Various</oasis:entry>
         <oasis:entry colname="col6">Various</oasis:entry>
         <oasis:entry colname="col7">n/a</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e429">Source: Schellekens et al. (2017); Dutra et al. (2015, 2017).</p></table-wrap-foot></table-wrap>

      <p id="d1e707">As this research focusses on the occurrence of floods, simulated discharges
of the ensemble of models included in the WRR datasets were used. Of the 10
models, 7 models provide daily discharge values, both global hydrological
models and land surface models (LSMs). All apply different routing
schemes to compute the discharges (see Table 1 for further information). The
remaining three models do not include routing schemes and were therefore not
considered. Discharge data for both WRR1 and WRR2 were downloaded at the
locations of the river gauging stations in the model grid. While modelled
discharges were available for evenly spaced grid cells, river gauging
stations are not equally distributed across the Limpopo River basin,
resulting in multiple gauging stations in the same model cell in some cases.
The daily modelled river discharges for each cell in the model grid where one
or multiple discharge gauging stations are located were downloaded from the
E2O Water Cycle Integrator portal
(<uri>https://wci.earth2observe.eu/</uri>, last access: 1 February 2018).
Modelled discharge data from the period 1980–2012 were used in this study as
a common period in order to compare the differences between WRR1 and WRR2.
Note that for three models simulated discharges were available for the higher
0.25<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution models, and for the SURFEX-TRIP model the discharges
in WRR2 were only available at 0.5<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution (see
Table <xref ref-type="table" rid="Ch1.T1"/>).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Verification data</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Discharge data</title>
      <?pagebreak page4671?><p id="d1e744">Daily observed discharges from selected river gauging stations in the Limpopo
River basin were used to verify the modelled discharges. Discharge records
were collected from multiple sources and collated, including the Global
Runoff Data Centre (GRDC), the South African Department of Water and
Sanitation (DWAF), and the Regional Water Administration of Southern
Mozambique (ARA Sul). In the entire Limpopo River basin, there are 196
accessible stations that contain data in the 1980 to 2012 time span. However,
only 75 of these have daily data available for at least 25 years and passed
the goodness of fit test by calculating the Kolmogorov–Smirnov statistic
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.53"/> for the Gumbel extreme value distribution
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.54"/> at the 5 % significance level. These 75 stations are
shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>, and a detailed list is included in the
Supplement Table S1. The
stations have upstream catchment areas that vary between 4 and
342 000 km<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Disaster data</title>
      <p id="d1e770">Data from three disaster databases were compiled in order to determine a
singular chronology of damaging flood events in the Limpopo River basin to be
used as a benchmark: EM-DAT <xref ref-type="bibr" rid="bib1.bibx14" id="paren.55"/>, GAALFE <xref ref-type="bibr" rid="bib1.bibx12" id="paren.56"/>
and NatCatSERVICE <xref ref-type="bibr" rid="bib1.bibx42" id="paren.57"/>. This combined reference database
contains the 48 damaging flood events that occurred in the basin over the
time span that coincides with the period of record of the E2O dataset: from
1980 to 2012. A summary of this benchmark dataset is included in Table S2. To
allow comparison of the reported events to the simulated and observed
discharges, the severity or intensity levels of the reported damaging flood
events were assessed. This was completed following the criteria from
NatCatSERVICE <xref ref-type="bibr" rid="bib1.bibx34" id="paren.58"/>, which are based on the number of fatalities
and overall losses, and amended for the total number of fatalities in the
entire basin. This resulted in severity levels ranging from 0 (natural
events) to 5 (devastating catastrophes).</p>
      <p id="d1e785">The basin is both affected by large-scale basin-wide flood events and
by smaller-scale flood events that do not affect the whole basin at once. The
three disaster databases are structured differently. Whereas EM-DAT and
NatCatSERVICE report the flood events on a country basis, the GAALFE is
ordered on an event basis. Apart from that, the level of detail regarding the
location of where the flood took place varies, also within one database.
Especially the earliest reported flood events often have only broad
administrative descriptions (i.e. country, province), rather than the (sub-)basin where
the flood actually took place.
The study area was therefore subdivided into seven administrative
regions in order to be able to make a spatial distribution in areas exposed
to flooding. These regions are the Limpopo basin with the riparian countries
Botswana (BW), Mozambique (MZ) and Zimbabwe (ZW), and four regions within
South Africa (ZA). South Africa was split into multiple regions since roughly
half of the total basin area is located within South Africa, while nearly all
of the available stations are within this part of the basin, allowing a
higher level of detail in identifying the spatial occurrence of flood events.
The four different regions in South Africa identified are the North West
province (ZA1), the Gauteng province (ZA2), and the combined provinces of
Limpopo and Mpumalanga, subsequently divided into a western (ZA3) and an
eastern part (ZA4). The different regions can be seen in Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Evaluating the model performance</title>
<sec id="Ch1.S2.SS4.SSS1">
  <title>Hydrological performance</title>
      <p id="d1e802">Hydrological performance of the daily simulated discharges from all models
was assessed using commonly used model evaluation statistics, considering
Nash–Sutcliffe efficiency (NSE), percent bias (PBIAS) and Pearson's
correlation coefficient (<inline-formula><mml:math id="M13" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>). For a fuller description of these statistics
and their application see Moriasi et al. (2007). NSE ranges between <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:math></inline-formula> and 1, where 1 indicates a perfect representation of observed
discharges, with values above zero meaning the simulated discharges have
better skill than simply taking the average of the observed. PBIAS determines
the tendency of the simulated discharge to underestimate or overestimate
observed discharges <xref ref-type="bibr" rid="bib1.bibx26" id="paren.59"/>, normalized with the mean discharge.
Ideal values of PBIAS are zero, with acceptable values considered to be below
<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> % <xref ref-type="bibr" rid="bib1.bibx40" id="paren.60"/>. Pearson's correlation coefficient (<inline-formula><mml:math id="M16" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>)
provides an indication of the linear relationship between simulated and
observed discharges data. Ranging from <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to 1, which indicates a perfect
negative or perfect positive relationship, respectively, a correlation
coefficient of 0 shows no relationship whatsoever. Correlation coefficients
are widely used to describe the proportional decrease or increase of two
variables and have the advantage of being sensitive to large values
<xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx37" id="paren.61"/>, which is important for analysing hydrological
extremes (we use the term extremes in this paper to indicate the high river
flows).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <title>Hydrological extremes</title>
</sec>
<sec id="Ch1.S2.SS4.SSSx1" specific-use="unnumbered">
  <title>Flood frequency analysis</title>
      <p id="d1e871">Flood frequency analysis was performed in order to obtain the magnitudes of
the hydrological extremes <xref ref-type="bibr" rid="bib1.bibx41" id="paren.62"/>. By fitting a Gumbel
distribution using the method of moments, the daily river discharge values
were converted to annual exceedance probabilities or return periods
<xref ref-type="bibr" rid="bib1.bibx67" id="paren.63"/>. This allows the occurrence and severity of flood events to
be identified in both the observed and modelled discharge time series.
Observed flood events were identified as events with a low annual exceedance
probability (or high return period) at the river gauging stations, with
discharges associated to progressively smaller probability thresholds used to
identify increasingly severe flood events. Flood events in the modelled
discharge time series were identified in two ways: using either the model
climatology or the observed climatology. When using the model climatology,
the discharge<?pagebreak page4672?> values for the selected probability thresholds were derived
using the Gumbel distribution applied to the modelled discharges, providing
the skill of the model in simulating the variability of extreme discharges.
When using the observed climatology, the discharge values for the thresholds
were derived using the observed discharges, which represents the skill of the
model in determining the absolute discharges. The severity of the reported
damaging flood events retrieved from the three disaster databases (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>) is
then compared to the severity of the flood events
identified in observed and modelled time series. To allow this comparison,
the reported damaging flood events, the annual exceedance probabilities or
return periods were converted to flood intensity levels, according to
Table <xref ref-type="table" rid="Ch1.T2"/>. In order to determine the possible added value of the
higher-resolution global models, modelled flood events were assessed both for
WRR1 and WRR2, as well as for each of the individual models, and the model
ensemble.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e886">Performance statistics for the four models available in both WRR1
<bold>(a–c)</bold> and WRR2 <bold>(d–f)</bold> for
each of the 75 gauging stations in the Limpopo River basin, ordered by
upstream catchment area. The error statistics displayed include
<bold>(a)</bold> the Nash–Sutcliffe efficiency (NSE) for WRR1, <bold>(b)</bold> the
percent bias (PBIAS) for WRR1, <bold>(c)</bold> Pearson's <inline-formula><mml:math id="M18" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> for WRR1,
<bold>(d)</bold> NSE for WRR2, <bold>(e)</bold> the PBIAS for WRR2 and
<bold>(f)</bold> Pearson's <inline-formula><mml:math id="M19" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> for WRR2. For clarity, the lower limit of the
<inline-formula><mml:math id="M20" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of the PBIAS has been set to <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.000</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f02.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p id="d1e955">Thresholds that were used to classify the exceedance probabilities according to flood severity levels.</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="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Flood</oasis:entry>
         <oasis:entry colname="col2">Annual</oasis:entry>
         <oasis:entry colname="col3">Return</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">severity</oasis:entry>
         <oasis:entry colname="col2">exceedance</oasis:entry>
         <oasis:entry colname="col3">period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">level</oasis:entry>
         <oasis:entry colname="col2">probability</oasis:entry>
         <oasis:entry colname="col3">(yr)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.303</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.164</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.090</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.038</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.010</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4.SSSx2" specific-use="unnumbered">
  <title>Skill scores</title>
      <p id="d1e1186">The ability of the models to detect the flood severity was assessed using a
contingency table in combination with three skill scores that were based on
the model climatology and derived from the table as performance measures. The
annual exceedance probabilities (or return periods) for both the observed and
modelled discharges extracted from the model grid cell corresponding to the
location of the gauge were computed using the Gumbel distribution, which was
estimated using the method of moments. A moving window of 7 days for both
the observed and the modelled discharge was applied to select the
maximum discharge of a given event. This window was chosen to disregard
possible small time lags between the modelled and observed discharges
<xref ref-type="bibr" rid="bib1.bibx55" id="paren.64"/>. The annual exceedance probability thresholds were then
used to assess whether or not the modelled discharge is able to capture the
timing and intensity of the extreme discharge events. To compare the relative
performance of the models, different annual exceedance probability thresholds
were used for the modelled as well as for the observed discharges, ranging
between 0.342 and 0.005, equivalent to return periods of 1.5 and 200
years, respectively. These thresholds were used to establish the contingency
table for the observed discharge at each gauging station with the discharge
from its matching model cell, as shown in Table <xref ref-type="table" rid="Ch1.T3"/>. The table
identifies the hits (H, flood events are both modelled and observed in the
gauged data), misses (M, flood events are observed but not modelled), false
alarms (FA, flood events are modelled but not observed) and correct negatives
(CN, flood events are neither observed nor modelled).</p>
      <p id="d1e1194">Skill scores to quantify the ability of the models to identify flood events
were derived from these contingency tables, and include the critical success
index (CSI), the probability of detection (POD) and the false alarm
ratio (FAR). These were assessed for each model using either the model or the
observed climatology. The CSI and POD determine the percentage of
successfully forecasted events out of all events observed, whereas the FAR
identifies the percentage of incorrectly forecasted flood events out of all
events forecasted. The ideal value for CSI and POD is at 100 %, while for
FAR it is at 0 %. The CSI, POD and FAR are calculated using Eqs. (1), (2)
and (3):

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M34" 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 class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">CSI</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FA</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><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">POD</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><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">FAR</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">FA</mml:mi><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FA</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p id="d1e1293">Contingency table for flood events.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Observed  </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

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

         <oasis:entry colname="col4">No</oasis:entry>

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

         <oasis:entry colname="col1" morerows="1">Modelled</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">Yes</oasis:entry>

         <oasis:entry rowsep="1" colname="col3">Hits (H)</oasis:entry>

         <oasis:entry rowsep="1" colname="col4">False alarms (FA)</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">No</oasis:entry>

         <oasis:entry colname="col3">Misses (M)</oasis:entry>

         <oasis:entry colname="col4">Correct negatives (CN)</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e1296">Source: <xref ref-type="bibr" rid="bib1.bibx56" id="text.65"/>.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <title>Damaging hydrological extremes</title>
      <p id="d1e1379">The capability of the models in capturing the flood events that resulted in
reported damages was illustrated graphically. The relationship of the
severity levels of the damaging flood events that were reported by the
disaster databases, and the corresponding annual exceedance probabilities of
the observed as well as the modelled discharges at the gauging stations, was
illustrated. For each reported event, the corresponding maximum discharge
(and thus the lowest annual exceedance probability) in either the observed or
simulated time series was determined with a moving average of 3 days
before and after the start and end date of the reported flood event
(corresponding to a window of 7 days for flood events<?pagebreak page4673?> reported to occur
on a single date). The reported damaging flood events are reported as
occurring in one or more of the seven defined regions. However, as the
disaster databases typically report only the broad administrative region of
where the flood took place, there was often not enough information available
on the sub-basin scale. Therefore, to associate the reported flood events in
a region to a flood event being identified in either the observed or the
modelled discharges, the lowest annual exceedance probability for every event
was determined for each observed river gauging station and corresponding
model grid cell in WRR1 for all stations with an area larger than
2500 km<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and in WRR2 for all stations with an area larger than
520 km<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. These sizes of the catchment areas for WRR1 as well as WRR2 were
assessed using the NSE statistic in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>
and are predominantly related to the cell size in WRR1 and WRR2. This process
was repeated for all events and for every region in the basin.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p id="d1e1405">Performance statistics for the four models available in WRR1 and
WRR2 (Table 4a) for each of
the 75 gauging stations in the Limpopo River basin, and the three models and ensemble mean only available in WRR1
(Table 4b). Statistics displayed for WRR1 and WRR2 include the Nash–Sutcliffe efficiency (NSE), the
percent bias (PBIAS) and Pearson's <inline-formula><mml:math id="M37" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M38" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>). The three different upstream catchment areas indicate that an average
is taken of the error statistics of the stations that are larger than indicated. Stations <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
indicate all 75 stations, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> are the largest 31 stations and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> are the largest 11 stations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="28.452756pt"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <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 colname="col2">Stations with</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

         <oasis:entry colname="col8"/>

         <oasis:entry colname="col9"/>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

         <oasis:entry colname="col8"/>

         <oasis:entry colname="col9"/>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">HTESSEL-CaMa </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1">LISFLOOD </oasis:entry>

         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center" colsep="1">SURFEX-TRIP </oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col10" align="center">WaterGAP3 </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"><bold>(a)</bold></oasis:entry>

         <oasis:entry colname="col2">area (km<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col3">WRR1</oasis:entry>

         <oasis:entry colname="col4">WRR2</oasis:entry>

         <oasis:entry colname="col5">WRR1</oasis:entry>

         <oasis:entry colname="col6">WRR2</oasis:entry>

         <oasis:entry colname="col7">WRR1</oasis:entry>

         <oasis:entry colname="col8">WRR2</oasis:entry>

         <oasis:entry colname="col9">WRR1</oasis:entry>

         <oasis:entry colname="col10">WRR2</oasis:entry>

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

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry colname="col1" morerows="2">NSE</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">734.77</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>294.83</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6473.49</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 616.81</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2938.32</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1147.33</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1445.34</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>628.78</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.38</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M57" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.62</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">107.99</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M59" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43.12</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.33</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M61" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.73</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.94</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.16</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.82</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.31</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M68" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>57.94</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.54</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.21</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.27</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.58</oasis:entry>

       </oasis:row>
       <oasis:row>

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry colname="col1" morerows="2">PBIAS</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">595.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>335.27</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6359.73</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9996.76</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2415.21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1176.01</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1680.21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M81" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>889.04</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.96</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.19</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">987.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>361.25</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">243.26</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>167.95</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">143.29</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.72</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">58.66</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.18</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">402.14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>476.37</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">57.74</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>74.57</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.23</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.59</oasis:entry>

       </oasis:row>
       <oasis:row>

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry colname="col1" morerows="2"><inline-formula><mml:math id="M99" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.24</oasis:entry>

         <oasis:entry colname="col4">0.38</oasis:entry>

         <oasis:entry colname="col5">0.47</oasis:entry>

         <oasis:entry colname="col6">0.35</oasis:entry>

         <oasis:entry colname="col7">0.45</oasis:entry>

         <oasis:entry colname="col8">0.50</oasis:entry>

         <oasis:entry colname="col9">0.39</oasis:entry>

         <oasis:entry colname="col10">0.54</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.26</oasis:entry>

         <oasis:entry colname="col4">0.42</oasis:entry>

         <oasis:entry colname="col5">0.51</oasis:entry>

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

         <oasis:entry colname="col7">0.50</oasis:entry>

         <oasis:entry colname="col8">0.56</oasis:entry>

         <oasis:entry colname="col9">0.43</oasis:entry>

         <oasis:entry colname="col10">0.60</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.26</oasis:entry>

         <oasis:entry colname="col4">0.47</oasis:entry>

         <oasis:entry colname="col5">0.51</oasis:entry>

         <oasis:entry colname="col6">0.41</oasis:entry>

         <oasis:entry colname="col7">0.52</oasis:entry>

         <oasis:entry colname="col8">0.60</oasis:entry>

         <oasis:entry colname="col9">0.45</oasis:entry>

         <oasis:entry colname="col10">0.66</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

  <oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="28.452756pt"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Stations with</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry rowsep="1" colname="col3">ORCHIDEE</oasis:entry>

         <oasis:entry rowsep="1" colname="col4">PCR-GLOBWB</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">W3RA</oasis:entry>

         <oasis:entry rowsep="1" colname="col6">Ensemble mean</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"><bold>(b)</bold></oasis:entry>

         <oasis:entry colname="col2">area (km<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col3">WRR1</oasis:entry>

         <oasis:entry colname="col4">WRR1</oasis:entry>

         <oasis:entry colname="col5">WRR1</oasis:entry>

         <oasis:entry colname="col6">WRR1</oasis:entry>

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

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry rowsep="1" colname="col1" morerows="2">NSE</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4301.50</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">176</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">842.51</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">536</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">946.62</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5645.16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">576.83</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">220.57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">44</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">933.26</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">59.92</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.30</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1878.46</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry rowsep="1" colname="col1" morerows="2">PBIAS</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7049.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8661.80</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">235</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">229.53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5108.67</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1954.28</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">714.12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">748.70</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">804.86</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">103.64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">91.09</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5014.81</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">188.17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <?xmltex \mrwidth{28.452756pt}?><oasis:entry colname="col1" morerows="2"><inline-formula><mml:math id="M134" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.32</oasis:entry>

         <oasis:entry colname="col4">0.12</oasis:entry>

         <oasis:entry colname="col5">0.31</oasis:entry>

         <oasis:entry colname="col6">0.46</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">520</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.34</oasis:entry>

         <oasis:entry colname="col4">0.13</oasis:entry>

         <oasis:entry colname="col5">0.33</oasis:entry>

         <oasis:entry colname="col6">0.49</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col3">0.31</oasis:entry>

         <oasis:entry colname="col4">0.13</oasis:entry>

         <oasis:entry colname="col5">0.36</oasis:entry>

         <oasis:entry colname="col6">0.49</oasis:entry>

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

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Hydrological performance</title>
      <p id="d1e2907">The relationship between the upstream catchment area of the river gauging
stations in the Limpopo River basin and the error statistics for the models
in WRR1 and WRR2 is illustrated in Fig. <xref ref-type="fig" rid="Ch1.F2"/> and
Table <xref ref-type="table" rid="Ch1.T4"/>. Figure <xref ref-type="fig" rid="Ch1.F2"/> and Table <xref ref-type="table" rid="Ch1.T4"/>a show the
three models that are available both in WRR1 and WRR2, whereas
Table <xref ref-type="table" rid="Ch1.T4"/>b also provides the performance statistics for the models
that are available only in WRR1, as well as the results using the mean of the
seven-member ensemble based on the models in WRR1. The different results
demonstrate the improvement of model simulations for stations with a large
upstream catchment area, when compared to those with smaller ones. This can
be best observed by looking at the NSE statistic, from which it is evident
that the models are generally able to capture the hydrology for stations with
an upstream catchment area that is larger than 2500 km<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for WRR1
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>a) and larger than 520 km<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for WRR2
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>d). This provides an indication of the catchment size at
which the models are capable of capturing the hydrology and also illustrates
the difference in forcing, resolution and the improvements made in WRR2 as
compared to WRR1. The NSE values in Table 4a show that for WRR1 as well as
for WRR2 the HTESSEL-CaMa and WaterGAP3 models both perform reasonably well
and had roughly equal NSE values, even though the structure of the models is
quite different, as the former is a land surface model, while the latter is a
global hydrological model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2945">Occurrence of flood events of increasing severity classes at the
Spookspruit gauge (252 km<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; <bold>a</bold>) and in the main Limpopo River
(98 240 km<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; <bold>b</bold>). Model flood events were identified using model
climatology (MM1 and MM2) or observed climatology (MO1 and MO2) and were
compared to benchmarks based on a compiled disaster impact database (Rep) and
observed river discharge data (Obs). The index value refers to models with
0.5<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution (MM1 and MO1) and 0.25<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution (MM2 and
MO2). Results are shown for the WaterGAP3 model, which is available in the
eartH2Observe Water Resources Reanalysis dataset.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f03.png"/>

        </fig>

      <?pagebreak page4674?><p id="d1e2997">PBIAS (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b and e, and Table <xref ref-type="table" rid="Ch1.T4"/>) largely shows
negative values, indicating an overestimation of the models compared to the
observed discharges. This overestimation is visible for all models and is
more dominant at the stations with the smallest upstream catchment areas.
This can be expected, as the models take the discharge accumulated over a
large area (approximately 2600 and 650 km<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for WRR1 and WRR2,
respectively) as the value for one model grid cell, whereas the true upstream
catchment areas of the stations may be as small as 4 km<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The models for
which the overestimation is lower, and which thus generally perform better,
are again HTESSEL-CaMa and WaterGAP3, both in WRR1 and WRR2. Furthermore,
HTESSEL-CaMa is the only model that frequently under-predicted the
discharges, reflected by a positive PBIAS value. The seven models and model
ensemble mean that were available in WRR1 (Table 4) have quite distinct
differences. The models in WRR1 ranked from best to worst for NSE and PBIAS
for only the largest catchment areas were HTESSEL-CaMa, SURFEX-TRIP,
WaterGAP3, the ensemble mean, ORCHIDEE, PCR-GLOBWB, LISFLOOD and W3RA. The
poor performance of W3RA was attributed to consistent severe overestimation
of modelled discharges.</p>
      <p id="d1e3022">The last error statistic considered is Pearson's correlation coefficient,
<inline-formula><mml:math id="M146" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, displayed in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c, f and Table <xref ref-type="table" rid="Ch1.T4"/>. This error
statistic shows relatively consistent correlations for each model,
irrespective of the upstream catchment areas. For WRR1, the models that
performed best are SURFEX-TRIP, LISFLOOD, the model ensemble
mean and WaterGAP3, whereas the poorest performance is found for PCR-GLOBWB
and to a lesser extent HTESSEL-CaMa. For WRR2, WaterGAP3 performs
significantly better, and also the improvement of WRR2 over WRR1 is notable
for both HTESSEL-CaMa and SURFEX-TRIP. LISFLOOD, on the other hand, has a
lower <inline-formula><mml:math id="M147" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> value for WRR2 compared to WRR2. The WRR1 model scores differently
for the <inline-formula><mml:math id="M148" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values when compared to ranking for NSE and PBIAS. The order
ranking from best to poorest order is SURFEX-TRIP, LISFLOOD, the ensemble
mean, WaterGAP3, W3RA, ORCHIDEE, HTESSEL-CaMa and lastly PCR-GLOBWB.</p>
      <p id="d1e3051">Even though some models perform relatively well, the overall performance of
the models is, however, quite poor. Average NSE remains negative for all
models and upstream catchment areas. Average PBIAS was below 25 % in only
a few instances for the models HTESSEL-CaMa and WaterGAP3, and the average
<inline-formula><mml:math id="M149" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>
value rarely exceeded 0.5.</p>
</sec>
<?pagebreak page4675?><sec id="Ch1.S3.SS2">
  <title>Hydrological extremes</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Flood frequency analysis</title>
      <p id="d1e3072">The ability of the models in predicting hydrological extremes was analysed by
comparing the modelled hydrological extremes to the hydrological extremes
that were observed at the river gauging stations (Spookspruit and Limpopo
River), as well to the chronology of reported damaging flood events. Results
are illustrated for two stations selected as an example in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Modelled extremes were analysed using the discharge
thresholds derived from either observed climatology or the modelled
climatology. The locations of the two river gauging stations are shown in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>, and the model selected is the WaterGAP3 model. Similar
patterns were observed at stations with similar sizes and for the other
models. Comparing the pattern of flood events identified by MM1 (WRR1 using
the modelled climatology), as well as by MM2 (WRR2 using the modelled
climatology), to the observed (Obs) or reported (Rep) flood events, it is
clear that the WaterGAP3 model is relatively well capable of capturing the
variation of the discharge in the observed data, as well as the occurrence of
reported damaging events, particularly at the station with a large upstream
catchment area, though even at the station with a small upstream catchment
area the correspondence in the patterns is reasonable.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e3081">The critical success index (CSI) using different annual exceedance
probability thresholds averaged over all gauging stations for the seven
models and ensemble mean available in WRR1 <bold>(a)</bold>, and the four models
that are also available in WRR2 <bold>(b)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f04.png"/>

          </fig>

      <p id="d1e3096">Another result derived from Fig. <xref ref-type="fig" rid="Ch1.F3"/> is the ability of the models
to capture the actual intensity of the identified flood events. This is
indicated in the bottom two lines, MO1 and MO2, in which the severity
thresholds were established using the observed climatology. The frequency of
flood events for WaterGAP3 is quite a bit higher than the observed frequency,
with the severity when observed and simulated events do line up also being
quite a bit higher. This is clearly the result of the over-prediction of
observed discharges. However, there is a marked improvement from the station
situated in the river with a small upstream catchment area to the station
with a large upstream catchment area, as well as when comparing the
higher-resolution WRR2 to WRR1. Similar results were found for other models and
stations pairs, and accordingly also in the model performance statistics
discussed in the previous section.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Skill scores</title>
      <p id="d1e3107">The upper panel in Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the CSI for each of the models
in WRR1, as well as for the seven-model ensemble mean, with discharge
thresholds based on model climatology. The score for the models in WRR1 was
found to be quite constant for discharges that occur more frequently, i.e.
annual exceedance probabilities higher than 0.09, equivalent to a return
period of 10 years. The relative performance of the models is listed from best to worst
for these discharges as follows: W3RA, the ensemble mean, SURFEX-TRIP, LISFLOOD,
WaterGAP3, PCR-GLOBWB, HTESSEL-CaMa and ORCHIDEE. The pattern, however,
changes for the more extreme (low probability) discharges. The discharges
with an annual exceedance probability that was less than 0.09 showed a
greater spread, as well as changes in the order of performance of the models.
For example, SURFEX-TRIP<?pagebreak page4676?> and LISFLOOD now perform better, while W3RA performs
worse for these more extreme discharge events. The model ensemble mean though
has a remarkably high CSI score which is independent of the return period.</p>
      <p id="d1e3112">The differences in performance of WRR2 compared to WRR1 as a result of
increased spatial resolution, different forcing and model improvements,
becomes evident from the lower panel of Fig. <xref ref-type="fig" rid="Ch1.F4"/>. For WaterGAP3,
HTESSEL-CaMa and SURFEX-TRIP, using WRR2 yields higher CSI values. For
LISFLOOD, on the other hand, the performance of WRR1 is better than that in
WRR2. Again, it appears that WaterGAP3 WRR2 performs best overall. These same
patterns are observed regarding the error statistics, as shown in
Fig. <xref ref-type="fig" rid="Ch1.F2"/> and discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>.</p>
      <p id="d1e3121">The underlying reason for the observed patterns of the CSI can be explained
by taking a closer look at the POD and FAR. The performances of all three
skill scores with respect to the upstream catchment area of each individual
station are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. Skill scores are shown here for
events with an annual exceedance probability of 0.164, equivalent to a return
period of 5 years. As can be observed by looking at the models in WRR1 (upper
panel), the average POD is around 25 % and the average FAR is around
70 %, resulting in an average CSI of roughly 15 %. The CSI, POD and
FAR all have a relatively large spread, with little relationship to the
upstream catchment area of the stations. Stations with a larger upstream
catchment area do not necessarily result in better skill scores. An
explanation for the lack of a relationship with catchment areas is that the
three skill scores are based on model climatology and thus the relative
flood intensity, while the error statistics are based on the observed
climatology and thus the absolute intensities. This clarifies the notable
difference with the error statistics, such as the NSE (as shown in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>a and d), where the improvement of stations with a larger
upstream catchment area is clear. This suggests that the performance of the
models in estimating the relative intensity is not highly influenced by the
upstream catchment area of the river gauging stations. The difference in
performance between WRR1 and WRR2 is, however, apparent. Both HTESSEL-CaMa
and WaterGAP3 display improved values for the CSI, POD and FAR. Again, the
notable exception is LISFLOOD, where WRR1 performs better than WRR2,
independent of the skill score. This again reflects the error statistics
discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/> and is in correspondence
with Arduini et al. (2017) and Dutra et al. (2017). There are a number of
factors that could contribute to this observation, such as the model
modifications (see Table 1) and that the same calibration parameterization
were used as in WRR1, even though the alterations to the model require an
updated calibration (Arduini et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3132">The critical success index, probability of detection and false alarm
ratio determined using the annual exceedance probability threshold of 0.164
(return period of 5 years) for all gauging stations for the three models
available in WRR1 <bold>(a–c)</bold>, and the models that are also available in
WRR2 <bold>(d–f)</bold>.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f05.png"/>

          </fig>

</sec>
</sec>
<?pagebreak page4677?><sec id="Ch1.S3.SS3">
  <title>Damaging hydrological extremes</title>
      <p id="d1e3154">Scatter plots were used to demonstrate the relationship between the reported
severity of the reported flood events with the severity of the corresponding
events identified in the observed as well as the modelled discharges. These
scatter plots are shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/>, illustrating the reported
flood severity in discrete classes (<inline-formula><mml:math id="M150" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis), as well as the annual
exceedance probability for the events identified using the maximum of the
modelled or observed discharges in a 7-day window around the reported
event (<inline-formula><mml:math id="M151" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis). The exceedance probability found at each station is
plotted. Ideally the events should be clustered along the diagonal from top
left (higher probability, lower severity) to bottom right (lower
probability, higher severity), reflecting that lower-impact flood events
typically occur in only a few stations and have higher probabilities (low
return periods), while high-impact severe flood events are often basin wide,
occurring at most stations across the basin with lower probabilities. For
medium-severity reported events, a wider scatter would be expected, as these
events may occur only in a part of the basin.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e3175">The relationship of the flood event severity for the reported flood
events, and the corresponding annual exceedance probabilities that were
observed and modelled for <bold>(a)</bold> HTESSEL-CaMa, <bold>(b)</bold> LISFLOOD,
<bold>(c)</bold> SURFEX-TRIP and <bold>(d)</bold> WaterGAP3.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://hess.copernicus.org/articles/22/4667/2018/hess-22-4667-2018-f06.png"/>

        </fig>

      <p id="d1e3196">The figure shows that, when a reported flood event is classified at the most
severe category 5, impacts were observed throughout the basin, as all
observed as well as modelled probabilities indicate above-normal river
discharge, many with extreme (low probability) discharges.
Small-scale flood events that resulted in low as well as localized damages,
on the other hand, were classified either as category 0 or 1. As can be seen
in Fig. <xref ref-type="fig" rid="Ch1.F6"/>, the annual exceedance probabilities corresponding to
these events have a larger spread. The reason for this is that small-scale
events are not noticeable throughout the entire region, but instead only locally, as
many gauges were still measuring normal flow, while those where the event
does occur show more extreme discharges. It can be observed though that part
of the gauges measured an above-normal discharge, whereas this was frequently
not observed by the models. Only WaterGAP3 was able to detect extreme
discharges for the floods with a severity level of zero. Apart from that, the
four different models displayed comparable results, although HTESSEL-CaMa
generally had lower annual exceedance probabilities for the same flood events
when compared to the other models.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p id="d1e3208">The potential of the global Water Resources Reanalysis dataset was assessed
by studying the hydrological performance, identification of hydrological
extremes, as well as of damaging flood events, and was evaluated by means of
commonly used error statistics and verification skill scores (CSI, POD and
FAR). The verification of the models within the WRR dataset was largely
dependent on the observed river discharge data. Access to these data proved
to be quite challenging, and the quality of the discharge data that were
obtained was often insufficient. Only 75 of the 196 river gauging stations
for which at least some data were available in the Limpopo for the desired time
range were used in this research, with most of these in South Africa. This
has implications for the conclusions drawn from the research, especially for
the PBIAS as it is highly influenced by the uncertainty in the observed data
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.66"/>. Despite these limitations, this research shows that the
discharges that were estimated by the different global models are to some
extent able to capture the variability of observed discharges, as indicated
by the different error statistics. For instance, the<?pagebreak page4678?> NSE demonstrated that
for WRR1 as well as WRR2, both the HTESSEL-CaMa and the WaterGAP3 models
performed well with roughly similar NSE values, despite the different
structure of these models. HTESSEL-CaMa is a LSM and does not include lakes
and reservoirs or water usage, whereas WaterGAP3 is a GHM and does include
both lakes and reservoirs, as well as water usage (Table <xref ref-type="table" rid="Ch1.T1"/>). The
differences between the model structures are illustrated by the PBIAS and <inline-formula><mml:math id="M152" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>
values. HTESSEL-CaMa has reasonable PBIAS, while WaterGAP3 has a relatively
good <inline-formula><mml:math id="M153" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>. As noted in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>, the basin is highly altered
due to human influences, in particular by a large number of storage
reservoirs. Models that capture only natural flow conditions, and do not take
the reservoirs and water usage into account, may be able to reasonably
estimate run-off volumes, though they do tend to largely overestimate the
actual magnitude of the discharges. Not including human influences such as
regulation, however, results in low correlations. The relative intensity of
flood events, on the other hand, can still be well captured by the same model
when using the model climatology instead of the observed climatology as a
reference. An example of such a model is W3RA, which performs poorly when
considering the error statistics, but relatively well for the CSI.</p>
      <p id="d1e3232">Global models are best suited for the modelling of large-scale processes, but
poorly represent the small-scale ones such as the variability associated with
convection <xref ref-type="bibr" rid="bib1.bibx9" id="paren.67"/>. These conclusions have been drawn in similar
research, such as <xref ref-type="bibr" rid="bib1.bibx5" id="text.68"/>, <xref ref-type="bibr" rid="bib1.bibx56" id="text.69"/> and
<xref ref-type="bibr" rid="bib1.bibx59" id="text.70"/>. This study indicates that the small-scale flood events
were generally not well captured by the global models that were analysed in
this research. The results do show, however, that the performance of these
global models improves with model developments in terms of resolution,
forcing and model parameterization. The statistics for model performance
measures for the higher-resolution WRR2 starts to approach reasonable values
for gauges with upstream areas of some 500 km<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, while for the lower-resolution WRR1
these same values are attained only at areas of some
2500 km<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The higher-resolution WRR2 also shows for two of the three
models better skill in identifying reported flood events, represented in the
chronology of reported flood events developed. Whether the improved
performance of the higher resolution is due to the improved and
higher-resolution MSWEP forcing data <xref ref-type="bibr" rid="bib1.bibx9" id="paren.71"/> or due to improved
representation of hydrological processes is unclear. However, as the
improvements vary between the models, it is clear that model structure has an
influence.</p>
      <?pagebreak page4679?><p id="d1e3269">That there is skill in these global models in identifying flood events that
have impacts and that this skill improves as the resolution of these
large-scale models improves is significant. Global-scale forecasting systems
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.72"/> as well as those at continental scale <xref ref-type="bibr" rid="bib1.bibx54" id="paren.73"/>
typically employ such large-scale models for developing forecasts, using
thresholds based on model climatology to inform the severity of predicted
events and subsequent issuing of flood warnings. Such warnings may be issued
where there are no (reliable) river gauges, as is the case in much of the
Limpopo basin, making calibration of a local model difficult. The ability of
these global and or continental models to predict the occurrence of flood
events that have impacts bolsters the confidence of using these warnings to
initiate a response, though the high false alarm rate found could again
diminish confidence.</p>
      <p id="d1e3278">It is important to note, though, that likely not all small-scale flood events
that occurred between 1980 and 2012 will have been included in the chronology
of reported flood events that was developed. As has more often been found to be
the case in the Global South <xref ref-type="bibr" rid="bib1.bibx12" id="paren.74"/>, the availability of
disaster data in the Limpopo River basin is fairly limited. In order to
construct a basin-wide timeline of historic damaging floods, events reported
in the EM-DAT, GAALFE and NatCatSERVICE databases were collated. Even though
the three used here are currently the most comprehensive databases containing
reported damaging historic flood events in Africa <xref ref-type="bibr" rid="bib1.bibx2" id="paren.75"/>, several
shortcomings are noted. These include inconsistencies between events
reported, gaps, and limited reporting in some areas <xref ref-type="bibr" rid="bib1.bibx24" id="paren.76"/>.
Additionally, most disaster databases are available at the country scale,
whereas flood events occur at the basin or finer scales. It is recommended to
enhance the reporting of flood disasters by providing more details on the
losses that were incurred as well as a more precise description of the
location and extent of the floods. The basin-wide approach to identify past
flood events by using empirical disaster databases used in this research has
also been applied in other research (<xref ref-type="bibr" rid="bib1.bibx2" id="altparen.77"/>;
<xref ref-type="bibr" rid="bib1.bibx5" id="altparen.78"/>; <xref ref-type="bibr" rid="bib1.bibx10" id="altparen.79"/>; <xref ref-type="bibr" rid="bib1.bibx28" id="altparen.80"/>;
<xref ref-type="bibr" rid="bib1.bibx56" id="altparen.81"/>), noting similar deficiencies.</p>
      <p id="d1e3307">The flood classification that was used in this research is a discrete
classification, taking the number of fatalities and overall losses into
account. However, it is expected that a continuous flood severity
classification would be better able to reveal the relationship between
extreme river discharges and the intensity of reported damaging flood events.
However, due to the gaps in the reported damaging flood event data as well as
broad area descriptions, this could not be assessed at this point. In order
to identify the added value of such a classification, additional research is
required in addition to improving disaster loss data.</p>
      <p id="d1e3310">In this study, the Gumbel distribution is used to determine the annual
exceedance probability thresholds of both the modelled and observed discharge
data. Different extreme value distributions, however, can significantly
influence the probability of the extreme discharges <xref ref-type="bibr" rid="bib1.bibx15" id="paren.82"/>. The
Gumbel distribution is a two-parameter distribution and was applied due to its
simplicity and robustness, though some authors (e.g. <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.83"/>)
argue that a three-parameter distribution such as the generalized extreme value (GEV) or
the log-Pearson type III should be used for flood frequency analysis. However, the goodness
of fit of the distributions found was tested using the Kolmogorov–Smirnov
test, with stations that did not meet the 5 % significance threshold not
considered. Further inspection of these stations revealed that these were
often directly downstream of a dam, or otherwise strongly influenced by human
activities. Additional research could additionally explore the influence of
using more complex extreme value distributions. This could also consider the
influence of the length of the moving window that was used to identify the
maximum discharge in the observed and modelled time series. This moving
window was chosen to allow for the travel time from the upstream parts of the
sub-catchment. In reality, however, the catchment upstream of each gauging
station has its own time of concentration, and the window used could be made
specifically for each station accordingly.</p>
      <?pagebreak page4680?><p id="d1e3319">Of the global models considered in this study, the higher-resolution
WaterGAP3 in WRR2 demonstrated the best performance, both for capturing the
hydrological behaviour across the Limpopo basin, as indicated by good values
for the error statistics, and for identifying the occurrence and
severity of hydrological extremes, which was indicated by the skill scores.
It was also observed that WaterGAP3 in WRR2 is reasonably good at estimating
low annual exceedance probabilities for the damaging flood events for the
stations with a large upstream catchment area. One reason for this improved
performance may be the inclusion of lakes and reservoirs, as well as water
abstractions in the model. However, results for other models, such as W3RA,
which has the worst model performance error statistics, may rank higher than
other models when used to identify the occurrence of flood events, where
these are identified using the model's own climatology. It is also important
to note that, if similar research were to be applied elsewhere, the ranking of
model performance may be quite different. The ranking of the models also
clearly depends on the aim of the research. WaterGAP3 for instance performed
poorly with respect to other global hydrological models in research focussing
on a snowmelt-driven catchment <xref ref-type="bibr" rid="bib1.bibx13" id="paren.84"/>. Furthermore, when the key
interest is the relative performance of the model for the Limpopo River
basin, taking only the model climatology into account, the W3RA model would
be the preferred model, as it has a high CSI. However, when the main goal
is the absolute magnitude of discharges, the W3RA model would not be
considered, as it is found to severely overestimate the discharges in the
Limpopo River basin. The seven-model ensemble mean, on the other hand, proved
to be quite consistent in its performance. For the CSI values particularly it
scores remarkably high, but it also scores relatively well for
Pearson's correlation coefficient <inline-formula><mml:math id="M156" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>. Although which model would be the
best applicable for each instance should carefully be assessed, the model
ensemble mean would be the safest bet in an area where no model clearly
stands out.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusion</title>
      <p id="d1e3339">The study explores the use of a global reanalysis dataset developed within
the EU-FP7 EarH2Obverve (E2O) project, which is constructed using a set of
global hydrological and land surface models, to support flood risk analysis
in data-sparse regions, such as the Limpopo River basin. There is a necessity
for such reanalysis data, since measured river discharge data in this basin
and others like it are currently insufficient, poorly spatially distributed,
have an insufficient period of record or are partly inaccessible. The E2O
reanalysis dataset provides hydro-meteorological data of sufficient length
and coverage required for statistical analysis. When the variability of the
discharge results of the ensemble of models included in the reanalysis
dataset is evaluated, the error statistics found show that the models all
have reasonable skill in capturing the variability of the observed
discharges, though there may be significant bias in magnitude. This was
indicated by strong correlations, low Nash–Sutcliffe efficiency and high
percent bias values. Furthermore, the error statistics revealed that the
variability is better captured by the models at hydrological gauging stations
that have larger upstream catchment areas compared to those in smaller
catchments. The upstream catchment areas of the river gauging stations at
which WRR1 and WRR2 are able to provide representation of the hydrological
behaviour that is better than the average of the observed are found for
catchment areas of some 2500 and 520 km<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and above respectively, with
significantly poorer performance for smaller catchment sizes. This shows that
the continued improvements in the global models with a higher resolution,
either due to improved higher-resolution forcing or due to improved model
structures, can be expected to lead in most cases to better capabilities of
capturing the variability of the observed discharge as well as the magnitude
of observed discharges.</p>
      <p id="d1e3351">A novel aspect of this study is the exploration of the skill of the global models
in identifying the occurrence and severity of flood events in two benchmark
chronologies of flood events. The first was developed through flood frequency
analysis, with flood events identified to occur at selected probabilities,
while the second was developed through collating reported flood events in
three disaster impact databases. This shows that the global models do have
skill in capturing the observed as well as reported damaging floods. This is,
however, only the case when the thresholds of the discharges corresponding to
the flood events are determined using the model climatology, and not the
observed climatology. The simulated discharges of these global models are
thus found to better represent the variability of the observed discharges
than the magnitude; though this is less an issue for the better-performing
higher-resolution models of WRR2.</p>
      <p id="d1e3354">Despite the absence of high-quality data in the Limpopo River basin and the
coarse resolution of the models in the global reanalysis dataset, this
research shows that, regardless these limitations, the global reanalysis
dataset can provide valuable information for flood risk assessment in
data-sparse regions. The skill of the models to predict flood events in the basin
that have led to flood damage, as recorded in the chronology of reported
floods, is an important finding, as global models such as those assessed here
are often used in global and continental forecasting systems to generate
flood forecasts and issue warnings in basins with little or no gauged data,
but where floods and consequent impacts do occur. This indicates (i) that openly
available global-scale hydro-meteorological data can provide valuable
information regarding extreme events in data-sparse regions and may therefore
be of use to local decision makers in mitigating the negative consequences of
future flood events and (ii) that this may improve as the resolution of these
global models improves.</p>
</sec>

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

      <p id="d1e3361">Modelled river discharge outputs are available from
eartH2Observe (<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.85"/>; <ext-link xlink:href="https://doi.org/10.5281/zenodo.167070" ext-link-type="DOI">10.5281/zenodo.167070</ext-link>).
Observed river discharges are available from the Department of Water and
Sanitation of the Republic of South Africa (DWAF,
<uri>http://www.dwa.gov.za/Hydrology/Verified/hymain.aspx</uri>, last access:
15 April 2017) and the Global Runoff Data Centre (GRDC). Reported damages are
available from the Emergency Events Database
(EM-DAT, <uri>https://www.emdat.be/emdat_db/</uri>, last access: 30 June 2017), the Global
Active Archive of Large Flood Events from the Dartmouth Flood Observatory
(<uri>http://floodobservatory.colorado.edu/Version3/MasterListrev.htm</uri>, last
access: 30 June 2017) and the NatCatSERVICE database from Munich Re
(<uri>www.munichre.com/natcatservice</uri>, last access: 30 June 2017).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3383"><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/hess-22-4667-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/hess-22-4667-2018-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p id="d1e3389">The authors declare that they have no competing
interests.</p>
  </notes><notes notes-type="sistatement">

      <p id="d1e3395">This article is part of the special issue “Integration of Earth
observations and models for global water resource assessment”. It is not
associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3401">This work received funding from the European Union Seventh Framework
Programme (FP7/2007-2013) under grant agreement no. 603608, Global Earth
Observation<?pagebreak page4681?> for Integrated Water Resource Assessment (eartH2Observe). We are
grateful to Munich Re for providing historic flood events from their
NatCatSERVICE database in the framework of NWO VIDI, grant 016-161-324, and the
EU-FP7 IMPREX project, grant agreement no. 641811. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: Jean-Christophe Calvet <?xmltex \hack{\newline}?> Reviewed
by: two anonymous referees</p></ack><ref-list>
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<abstract-html><p>Sufficient and accurate hydro-meteorological data are essential to manage
water resources. Recently developed global reanalysis datasets have
significant potential in providing these data, especially in regions such as
Southern Africa that are both vulnerable and data poor. These global
reanalysis datasets have, however, not yet been exhaustively validated and it
is thus unclear to what extent these are able to adequately capture the
climatic variability of water resources, in particular for extreme events
such as floods. This article critically assesses the potential of a recently
developed global Water Resources Reanalysis (WRR) dataset developed in the
European Union's Seventh Framework Programme (EU-FP7) eartH2Observe (E2O)
project for identifying floods, focussing on the occurrence of floods in the
Limpopo River basin in Southern Africa. The discharge outputs of seven global
models and ensemble mean of those models as available in the WRR dataset are
analysed and compared against two benchmarks of flood events in the Limpopo
River basin. The first benchmark is based on observations from the available
stations, while the second is developed based on flood events that have led
to damages as reported in global databases of damaging flood events. Results
show that, while the WRR dataset provides useful data for detecting the
occurrence of flood events in the Limpopo River basin, variation exists
amongst the global models regarding their capability to identify the
magnitude of those events. The study also reveals that the models are better
able to capture flood events at stations with a large upstream catchment
area. Improved performance for most models is found for the 0.25°
resolution global model, when compared to the lower-resolution 0.5°
models, thus underlining the added value of increased-resolution global
models. The skill of the global hydrological models (GHMs) in identifying the
severity of flood events in poorly gauged basins such as the Limpopo can be
used to estimate the impacts of those events using the benchmark of reported
damaging flood events developed at the basin level, though this could be
improved if further details on location and impacts are included in disaster
databases. Large-scale models such as those included in the WRR dataset are
used by both global and continental forecasting systems, and this study sheds
light on the potential these have in providing information useful for
local-scale flood risk management. In conclusion, this study offers valuable
insights in the applicability of global reanalysis data for identifying
impacting flood events in data-sparse regions.</p></abstract-html>
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