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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-24-5279-2020</article-id><title-group><article-title>Evaluating a landscape-scale daily water balance model to<?xmltex \hack{\break}?> support spatially continuous representation of flow intermittency throughout stream networks</article-title><alt-title>Evaluating a daily water balance model to represent streamflow intermittency</alt-title>
      </title-group><?xmltex \runningtitle{Evaluating a daily water balance model to represent streamflow intermittency}?><?xmltex \runningauthor{S. Yu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Yu</surname><given-names>Songyan</given-names></name>
          <email>sunny.yu@griffith.edu.au</email>
        <ext-link>https://orcid.org/0000-0001-5765-7060</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff4">
          <name><surname>Do</surname><given-names>Hong Xuan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9169-579X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>van Dijk</surname><given-names>Albert I. J. M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6508-7480</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bond</surname><given-names>Nick R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Lin</surname><given-names>Peirong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kennard</surname><given-names>Mark J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Australian Rivers Institute and School of Environment and Science,
Griffith University, Nathan, Queensland, Australia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Civil, Environmental and Mining Engineering, University of Adelaide, Adelaide, Australia</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Faculty of Environment and Natural Resources, Nong Lam University, Ho Chi Minh City, Vietnam</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School for Environment and Sustainability, University of Michigan, Ann Arbor, Michigan, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Fenner School of Environment &amp; Society, The Australian National
University, Canberra, Australia</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Centre for Freshwater Ecosystems, La Trobe University, Wodonga,
Victoria, Australia</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Civil and Environmental Engineering, Princeton
University, Princeton, New Jersey, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Songyan Yu (sunny.yu@griffith.edu.au)</corresp></author-notes><pub-date><day>12</day><month>November</month><year>2020</year></pub-date>
      
      <volume>24</volume>
      <issue>11</issue>
      <fpage>5279</fpage><lpage>5295</lpage>
      <history>
        <date date-type="received"><day>17</day><month>January</month><year>2020</year></date>
           <date date-type="rev-request"><day>4</day><month>February</month><year>2020</year></date>
           <date date-type="rev-recd"><day>3</day><month>September</month><year>2020</year></date>
           <date date-type="accepted"><day>2</day><month>October</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Songyan Yu et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <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/24/5279/2020/hess-24-5279-2020.html">This article is available from https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e169">There is a growing interest globally in the spatial distribution and
temporal dynamics of intermittently flowing streams and rivers, and how this
varies in relation to climatic and other environmental factors. However,
biases in the distribution of stream gauges may give a misleading impression
of spatial-temporal variations in streamflow intermittency within river
networks. Here, we developed an approach to quantify catchment-wide
streamflow intermittency over long time frames and in a spatially explicit
manner, using readily accessible and spatially contiguous daily runoff data
from a national-scale water balance model. We examined the ability of the
water balance model to simulate streamflow in two hydro-climatically
distinctive (subtropical and temperate) regions in Australia, with a
particular focus on low-flow simulations. We also evaluated the effect of
model time step (daily vs. monthly) on flow intermittency estimation to
inform future model selection. The water balance model showed better
performance in the temperate region characterised by steady baseflow than in
the subtropical region with flashy hydrographs and frequent cease-to-flow
periods. The model tended to overestimate low-flow magnitude mainly due to
overestimation of gains (e.g. groundwater release to baseflow) during
low-flow periods. Modelled patterns of flow intermittency revealed highly
dynamic behaviour in space and time, with cease-to-flow events affecting
between 29 and 80 % of the river network over the period of
1911–2016, using a daily streamflow model. The daily flow model did not
perform better than the monthly flow model in quantifying flow intermittency
at a monthly time step, and model selection should depend on the intended
application of the model outputs. Our general approach to quantifying
spatio-temporal patterns of flow intermittency is transferable to other
parts of the world, and it can inform hydro-ecological understanding and
management of intermittent streams where limited gauging data are available.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e181">Intermittent streams that cease to flow for some period of most years are
prevalent within river networks globally (Acuña et al.,
2014; Datry et al., 2014). Their spatial extent is projected to increase in
regions experiencing drying trends related to climate change and water
extraction for human uses (Larned et al., 2010). Intermittent
streams have seen increasing research interest over the past decade (e.g.
Costigan et al., 2016; Fritz et al., 2013; Gallart et al., 2017; Leigh et
al., 2016), and there is a growing interest in conserving these unique
ecosystems. The scarcity of spatially explicit information on flow
intermittency has been<?pagebreak page5280?> identified as one of the key issues confronting
intermittent stream management (Acuña et al., 2017). Flow
intermittency exerts primary control on the transfer of energy, materials
and organisms by surface water through river networks
(Jaeger et al., 2019) and is a key driver of
riverine ecosystems (Stanley et al., 1997; Datry et al., 2017; Poff et al.,
1997). Therefore, improved understanding of temporal and spatial patterns in
flow intermittency is fundamentally important for effective river
management.</p>
      <p id="d1e184">Previous studies have predominantly relied on the use of gauged streamflow
data to make inferences about the distribution of intermittent streams in
many regions, including France (Snelder et al., 2013), Australia
(Kennard et al., 2010b; Bond and Kennard, 2017), Spain, and
North America (de Vries et al., 2015). However, spatial biases in the
distribution of stream gauges used in such studies may give misleading
impressions of spatial patterns and the extent of streamflow intermittency
(Snelder et al., 2013). Alternative methods for quantifying the extent
of intermittent flow include citizen observation networks supported by
regular reports from trained volunteers (Datry et al., 2016; Turner and
Richter, 2011), the use of electrical arrays by measuring the electrical
conductivity of the streambed (Jaeger and Olden, 2012), development of
predictive models for intermittent streams (González-Ferreras and
Barquín, 2017), and deployment of unmanned aerial systems (Spence
and Mengistu, 2016). These alternatives are generally appropriate over small
spatial extents and short time frames but are difficult to scale up to
larger areas to quantify flow intermittency in space and time. Satellite
remote-sensing-based quantification of flow intermittency
(Hou et al., 2019) can cover larger spatial extents
but, for now, remains applicable only to relatively large rivers
(<inline-formula><mml:math id="M1" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 30 m in the case of Landsat imagery) and can be affected by
factors such as vegetation and cloud obstruction.</p>
      <p id="d1e194">Spatially contiguous runoff data derived from water balance models provide
another potential alternative to quantify spatio-temporal variations in flow
intermittency. For example, Yu et al. (2018) used runoff simulations
obtained from a water balance model, WaterDyn (Raupach et al.,
2009), to generate spatially explicit and catchment-wide estimates of
streamflow intermittency, but only at a relatively coarse monthly time step.
Depending on the application, flow simulations at a finer temporal scale
(e.g. daily) may be necessary to capture the dynamic aspects of hydrological
processes. These kinds of simulations are important to better understand the
causes of flow intermittency at multiple spatial scales and enable
ecologically relevant characterisation of streamflow properties such as the
magnitude, frequency, duration, and rate of change in high- or low-flow
events. However, there are few examples of studies quantifying spatial and
temporal variation in flow intermittency across river networks using
spatially contiguous daily flow data. That is partly because streamflow
simulation is more challenging at a daily versus monthly time step due to
higher uncertainties in input data at this finer temporal scale
(Wang et al., 2011).</p>
      <p id="d1e197">Water balance models at a daily time step have been increasingly developed
around the world (Lin et al., 2019; Bierkens et al., 2015). One prominent
regional example is the Australian Water Resource Assessment Landscape
(AWRA-L) model (van Dijk, 2010). The AWRA-L model has been
developed by the Commonwealth Scientific and Industrial Research
Organisation (CSIRO) and the Australian Bureau of Meteorology (BoM) to
simulate the terrestrial water balance across Australia at a daily time step
(van Dijk, 2010; Frost et al., 2016). The model yields
spatially contiguous daily water availability values gridded at a spatial
resolution of 0.05 arcdeg spatial resolution (approximately 5 km <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5 km) (Frost et al., 2016). The development of such water balance
models in Australia and other parts of the world provides the potential to
quantify spatial and temporal variation in runoff, and hence flow
intermittency, at a daily time step. However, this requires an effective and
efficient conversion process to translate gridded runoff estimates to
accumulated streamflow estimates down the river network. This is especially
challenging for large study areas due to lags in runoff, which can influence
the timing of flow peaks and rates of recession. Additionally, many
national-scale water balance models, including AWRA-L, were calibrated on a
large domain that covers multiple climate conditions (Viney et al.,
2015), providing a best “average” response but potentially inconsistent
accuracy of runoff simulations within particular climate domains. As the
predictive performance for ungauged basins strongly depends on climate
settings, this compromise raises the question as to whether such models can
be used to quantify flow intermittency over multiple climate conditions.
Although substantial efforts have been made in evaluating hydrological
models in different climate conditions (Do et al., 2020; Gudmundsson et
al., 2012; Zaherpour et al., 2018; Lin et al., 2019), a limited number of such
studies have focused particularly on model performance during low-flow
conditions, which is particularly important for flow intermittency
quantification.</p>
      <p id="d1e208">In this study, we sought to apply spatially contiguous daily runoff outputs
from the AWRA-L water balance model to quantify the spatial extent and
temporal patterns of flow intermittency. To assess the accuracy of the
AWRA-L model for daily flow simulations, we first developed a simple but
effective technique to convert runoff to streamflow for two
hydro-climatically distinctive regions. The translation of gridded runoff to
aggregated streamflow/discharge on vector river flow lines makes AWRA-L
outputs more accessible to fluvial geomorphologists and ecologists, who may
intend to relate daily hydrologic characteristics of rivers to a broad range
of physical and ecological phenomena. We further assessed the uncertainty of
the AWRA-L model in capturing patterns of flow intermittency. Lastly, we
evaluated the effect of time step (daily vs. monthly) on the relative
performance of the model in replicating observed patterns of<?pagebreak page5281?> cease-to-flow
periods at reference gauges. A previous study conducted at the monthly time
step (Yu et al., 2018) was used to benchmark flow intermittency
estimated from the AWRA-L model.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study areas</title>
      <p id="d1e219">This research was conducted in two hydro-climatically distinctive regions:
south-east Queensland and the Tamar River catchment in Tasmania (Fig. 1).
The south-east Queensland (SEQ) region is located in the eastern part of
Australia (Fig. 1a) and comprises five major coastal river basins with a
total area of 21 331 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 1b). SEQ has 7229 stream segments and their corresponding sub-catchments
according to the Australian Hydrologic Geospatial Fabric (Geofabric), with
a minimum upstream drainage area of 1.5 km<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. SEQ is a region of
transitional temperate to subtropical climate (Fig. 1a) with substantial
inter- and intra-annual variation in rainfall. The majority of rainfall and
streamflow usually occurs in the summer months of January to March, often
followed by a second minor discharge peak between April and June, but high
and low flows may occur at any time of year (Kennard et al.,
2007). Thus, there are a range of flow regimes, with many streams being
intermittent to varying degrees. The Tamar River catchment (Tamar) is
located in Tasmania, an island state off Australia's south coast (Fig. 1a,
c). It drains a catchment area of approximately 11 215 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>, comprising
over one-fifth of Tasmania's land mass and is located in north-east and
central Tasmania. According to climate data from BoM
(<uri>http://www.bom.gov.au/climate/data</uri>, last access: 10 November 2020), Tamar is characterised by a temperate
climate condition, with rainfall relatively evenly distributed
throughout the year.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e254">Locations of the two climatically and hydrologically distinctive
regions in Australia <bold>(a)</bold>, south-east Queensland (SEQ) <bold>(b)</bold> and the Tamar River catchment (Tamar) <bold>(c)</bold>, with Geofabric river networks and selected stream gauges (25 and 15 gauges for SEQ and Tamar, respectively). The climate classification in panel <bold>(a)</bold> is based on the Köppen classification
system (Australian Bureau of Meteorology, 2014).</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data and methodology</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Streamflow gauge data</title>
      <p id="d1e290">Gauged daily streamflow data were sourced from the BoM water data website
(<uri>http://www.bom.gov.au/waterdata</uri>, last access: 10 November 2020) and were used to assess accuracy of AWRA-L-modelled streamflow (Sect. 3.3) and to estimate an appropriate zero-flow
threshold of modelled streamflow data for quantifying patterns of streamflow
intermittency (Sect. 3.4). A total of 25 gauges in SEQ and 15 gauges in
Tamar were selected (Fig. 1b, c) to assess modelled streamflow accuracy.
These gauges had less than 0.5 % missing values over the period from
1 January 2005 to 31 December 2017 and had minimal hydrologic modification due to
human activities. A larger set of 43 gauges in SEQ (including 21 of the 25
gauges used by us for streamflow validation) was used to estimate the
zero-flow threshold for this region (see Yu et al., 2018, for details of
stream gauges). The gauges were widely dispersed throughout each study area
and encompassed a range of stream sizes, catchment areas (22–3881 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> in SEQ; 33–3294 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> in Tamar), and flow regime types,
ranging from highly intermittent to perennial streams (see results).
However, the set of stream gauges used in our analyses under-represented the
frequency of small low-order streams in both regions. Therefore, we regard
the selected gauges to be representative of the range of environmental and
hydrological conditions in the regions, except for extremely small
catchments with an area <inline-formula><mml:math id="M8" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 22 km<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> that likely have higher
cease-to-flow occurrence.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Conversion from spatially contiguous runoff to streamflow</title>
      <p id="d1e338">AWRA-L is a daily 0.05<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid-based distributed water balance model
that is conceptualised as a small catchment. It simulates the water flow
through the landscape from the rainfall entering the grid cell through the
vegetation and soil and then out of the grid cell through
evapotranspiration, surface water flow, or lateral flow of groundwater to the
neighbouring grid cells (Viney et al., 2015). AWRA-L was calibrated and
validated at the national scale during its development by CSIRO and BoM,
with 301 gauges used for calibration and a different set of 304 gauges used
for validation (Zhang et al., 2013). Simulated daily runoff from the
AWRA-L model (version 5) was downloaded from BoM
(<uri>http://www.bom.gov.au/water/landscape</uri>, last access: 28 November 2018). These data are in gridded format
and require conversion to streamflow for each sub-catchment by aggregating
the gridded runoff data with a hierarchically nested catchment to simulate
streamflow throughout river networks. The conversion process may or may not
need to use a river routing model to propagate streamflow through river
networks, partly depending on the size of the catchment of interest
(Robinson et al., 1995). If streamflow simulated with a routing
model shows little difference to that without a routing model, then the
conversion process is more efficient without a routing model, and the
readily available runoff data can be more accessible for potential
applications, such as flow characterisation for ungauged stream segments. In
addition, a conversion process involving a routing model can be
computationally intensive and usually requires parallel computing to speed
up the calculations (David et al., 2011b). Therefore, in this study,
we applied two approaches to determine an effective and efficient
runoff–streamflow conversion. The first approach coupled a river routing
model to the water balance model, and its effects on flow simulations are
compared to the model performance of a lumped model, which was operated
without any river routing (Fig. 2). As the conversion process was achieved
using the “<italic>catchstats</italic>” package (<uri>https://github.com/nickbond/catchstats</uri>, last access: 10 November 2020) in the R
programming language (R Development Core Team, 2017), the second
approach was to speed up the conversion process by incorporating a parallel
algorithm to exiting functions of that package. The conversion process was
run on a Griffith University<?pagebreak page5282?> high-performance computing node with 12 cores
and 12 GB of RAM.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e361">Model configurations and their applications in this study. AWRA-L
runoff outputs are translated to accumulated streamflow estimates with the river
routing algorithm (coupled model) and without (lumped model). These two
model configurations are applied to test the effect of river routing on
streamflow simulation accuracy. Based on the lumped model, we simulate daily
streamflow throughout river networks (daily AWRA-L) and further convert the
daily stimulations to monthly outputs (monthly AWRA-L). Both simulations are
used to quantify streamflow intermittency, while results from a different
monthly model (monthly WaterDyn) are used to benchmark the flow
intermittency estimates from monthly AWRA-L.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f02.png"/>

        </fig>

      <p id="d1e370">The hierarchically nested catchment dataset used in this study was sourced
from the Geofabric dataset (Stein et al., 2014), which provides a
fully connected and directed stream network derived from the national 9 arcsec DEM and flow direction grid (<inline-formula><mml:math id="M11" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 250 m resolution),
and associated catchment hierarchy at the national scale. The routing model
applied in this study was the Routing Application for Parallel computatIon
of Discharge (RAPID) model (David et al., 2011b). RAPID solves the
matrix-based Muskingum equation to route flow through each stream of the
river network and performs streamflow computation for every stream segment
of a river network, including ungauged streams. Various water balance models
have been used in combination with RAPID (Follum et al., 2017; Lawrence et
al., 2011; Lin et al., 2019).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e384">Flow metrics used to describe average-, high-, and low-flow
conditions across key components of hydrological variation. Note that a
spell independence criterion of 5 d was applied to regard periods between
spells of less than 5 d as “in spell”.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Conditions</oasis:entry>
         <oasis:entry colname="col2">Component</oasis:entry>
         <oasis:entry colname="col3">Abbreviation</oasis:entry>
         <oasis:entry colname="col4">Definition</oasis:entry>
         <oasis:entry colname="col5">Units</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Average flow</oasis:entry>
         <oasis:entry colname="col2">Magnitude</oasis:entry>
         <oasis:entry colname="col3">Avg.magnitude</oasis:entry>
         <oasis:entry colname="col4">Mean daily flow for entire period</oasis:entry>
         <oasis:entry colname="col5">m<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Variability</oasis:entry>
         <oasis:entry colname="col3">Avg.magnitude.cv</oasis:entry>
         <oasis:entry colname="col4">Coefficient of variation in mean daily flow</oasis:entry>
         <oasis:entry colname="col5">%</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">High flow</oasis:entry>
         <oasis:entry colname="col2">Magnitude</oasis:entry>
         <oasis:entry colname="col3">H.magnitude</oasis:entry>
         <oasis:entry colname="col4">The average annual maximum flow</oasis:entry>
         <oasis:entry colname="col5">m<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Timing</oasis:entry>
         <oasis:entry colname="col3">H.timing</oasis:entry>
         <oasis:entry colname="col4">The mean Julian date of annual maximum</oasis:entry>
         <oasis:entry colname="col5">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Variability</oasis:entry>
         <oasis:entry colname="col3">H.timing.cv</oasis:entry>
         <oasis:entry colname="col4">Coefficient of variation in Julian date of annual maximum flow</oasis:entry>
         <oasis:entry colname="col5">%</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Frequency</oasis:entry>
         <oasis:entry colname="col3">H.frequency</oasis:entry>
         <oasis:entry colname="col4">Mean of annual count of spells above the 90th-percentile flow</oasis:entry>
         <oasis:entry colname="col5">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Duration</oasis:entry>
         <oasis:entry colname="col3">H.duration</oasis:entry>
         <oasis:entry colname="col4">Mean duration of all spells above the 90th-percentile flow</oasis:entry>
         <oasis:entry colname="col5">days</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Rate of rise</oasis:entry>
         <oasis:entry colname="col3">H.rise</oasis:entry>
         <oasis:entry colname="col4">Mean rate of positive changes in flow from one day to the next</oasis:entry>
         <oasis:entry colname="col5">m<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Rate of fall</oasis:entry>
         <oasis:entry colname="col3">H.fall</oasis:entry>
         <oasis:entry colname="col4">Mean rate of negative changes in flow from one day to the next</oasis:entry>
         <oasis:entry colname="col5">m<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Low flow</oasis:entry>
         <oasis:entry colname="col2">Magnitude</oasis:entry>
         <oasis:entry colname="col3">L.magnitude</oasis:entry>
         <oasis:entry colname="col4">The average annual minimum flow</oasis:entry>
         <oasis:entry colname="col5">m<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Timing</oasis:entry>
         <oasis:entry colname="col3">L.timing</oasis:entry>
         <oasis:entry colname="col4">The mean Julian date of annual minimum</oasis:entry>
         <oasis:entry colname="col5">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Variability</oasis:entry>
         <oasis:entry colname="col3">L.timing.cv</oasis:entry>
         <oasis:entry colname="col4">Coefficient of variation in Julian date of annual minimum flow</oasis:entry>
         <oasis:entry colname="col5">%</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Frequency</oasis:entry>
         <oasis:entry colname="col3">L.frequency</oasis:entry>
         <oasis:entry colname="col4">Mean of annual count of spells below the 10th-percentile flow</oasis:entry>
         <oasis:entry colname="col5">unitless</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Duration</oasis:entry>
         <oasis:entry colname="col3">L.duration</oasis:entry>
         <oasis:entry colname="col4">Mean duration of all spells below the 10th-percentile flow</oasis:entry>
         <oasis:entry colname="col5">days</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e770">To test the effects of river routing, we first calculated a series of flow
metrics (Table 1) for flow simulations from both the lumped and coupled
models. The calculated flow metrics are commonly used to describe the
critical components of flow regimes across average-, high-, and low-flow
conditions, including flow magnitude and variability; the timing, frequency,
and duration of high and low flows; and rates of changes in flow events
(Poff et al., 1997; Olden and Poff, 2003). Calculation of these streamflow
characteristics allows a comprehensive assessment of the effects of river
routing on streamflow simulations in the two regions. We then applied
the Wilcoxon rank sum test for each flow metric to determine whether the
inclusion of river routing can improve model accuracy based on a
significance level of 5 %. We used the 10th and 90th percentiles of daily
flows to respectively describe low-flow and high-flow thresholds
(Leigh and Datry, 2016; Gudmundsson et al., 2019). The
calculation process was conducted with the “<italic>hydrostats</italic>” package in the R language
(Bond, 2019).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Accuracy assessment of modelled streamflow</title>
      <?pagebreak page5284?><p id="d1e784">To evaluate overall model performance in streamflow simulations, we
calculated the modified Kling–Gupta efficiency (KGE; Kling et al.,
2012) between the observed and modelled streamflow for all gauges in SEQ and
Tamar (Eq. 1). KGE is an integrated skill metric which measures the
Euclidean distance between a point and the optimal point that has the
maximum correlation coefficient, zero variability error, and zero bias error
between the simulated and observed streamflow (Kling et
al., 2012; Gupta et al., 2009). KGE takes values from <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to 1: KGE <inline-formula><mml:math id="M23" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1
indicates perfect agreement between simulations and observations, and KGE <inline-formula><mml:math id="M24" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula> indicates that the mean of observations provides better
estimates than simulations (Knoben et al., 2019). To evaluate model
performance in different components of flow regimes, we also calculated each
summary flow metric (Table 1) for observed and
modelled streamflow data at all gauges in SEQ and Tamar and visually
compared their frequency distributions. The use of KGE provides an overall
assessment of AWRA-L model performance, and the flow metrics in Table 1 are
used to comprehensively evaluate the model accuracy for various components
of flow regimes, including the flow metrics related to low flows. Only six
of the 25 gauges in SEQ and three of the 15 gauges in Tamar were the same as
those used to calibrate the AWRA-L water balance model. This small overlap
between the AWRA-L calibration gauge set (<inline-formula><mml:math id="M26" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 301) and the streamflow model
validation gauge set (<inline-formula><mml:math id="M28" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 25 in SEQ and 15 in Tamar) means that potential
overestimation of streamflow model performance is likely to be minimal.
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M30" display="block"><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">KGE</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msqrt><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>;</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CV</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">CV</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where KGE is the modified KGE statistic (dimensionless); <inline-formula><mml:math id="M31" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the
correlation coefficient between simulated and observed runoff
(dimensionless); <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> is the bias ratio (dimensionless); <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is
the variability ratio (dimensionless); <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the mean runoff in cubic metres per second
(m<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>s<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>); CV is the coefficient of variation (dimensionless);
<inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> is the standard deviation of runoff in cubic metres per second (m<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>); and
subscripts s and o refer to simulated and observed runoff values,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1070">Comparison of the observed and modelled hydrograph with the
rainfall time series at gauges 143010 in SEQ and 181.1 in Tamar. The
over-responsiveness of the model to rainfall is illustrated in the
noticeable increase in modelled streamflow when a rainfall event occurred,
while there is no obvious increase in observed streamflow. Rainfall data
were sourced from the AWRA-L input.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f03.png"/>

        </fig>

      <p id="d1e1079">Furthermore, considering that this study aims to apply flow simulations to
quantify flow intermittency, the model accuracy of low-flow simulation is
particularly important. The study period (1 January 2005–31 December 2017) was
considered sufficient to assess low flows. The 13-year study period is close
to a discharge record length of 15 years, which Kennard et al. (2010a) concluded
is sufficient to enable accurate estimation of low-flow
metrics. In addition, our study period begins in the middle of the
Australian Millennium drought (2001–2009) and includes a significant
low-flow period. A preliminary analysis showed that AWRA-L-modelled
streamflow was sensitive to rainfall events, relative to the response of
observed flow (Fig. 3). This finding indicates that over-responsiveness of
AWRA-L to rainfall may potentially contribute to overestimation of low flow.
We hypothesised that this over-responsiveness is partly due to
overestimation of in situ gains to low-flow discharge (e.g. groundwater release
to baseflow) as well as underestimation of transmission losses (e.g.
depression filling and evapotranspiration) during water movement through
various flow paths in the stream network (Davison and van der Kamp,
2008). Given that we do not have access to the AWRA-L model to directly
adjust model parameters, we instead compared the observed and modelled low-flow
magnitude at all gauges in the two study areas along the gradient of
their catchment areas (22–3881 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> in SEQ; 33–3294 km<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in Tamar)
to test this hypothesis. We expect that (1) if the difference in low-flow
magnitude occurs at all gauges, then low-flow overestimation can be at least
attributed to the overestimation of gains to low-flow discharge.
Alternatively, (2) if the difference in low-flow magnitude occurs towards the
downstream of the catchment, then low-flow overestimation may be related to
underestimation of transmission losses.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Quantifying flow intermittency using spatially contiguous flow
simulations</title>
      <p id="d1e1108">Given the fact that water balance models often over-predict the magnitude of
very low flows due to the difficulties of quantifying hydrological processes
influencing low-flow discharge (Ye et al., 1997; Smakhtin, 2001; Staudinger
et al., 2011), we adopted the same method used in Yu et al. (2018) to estimate a threshold of zero flow from the model that related
measured zero-flow duration at each gauge to catchment environment
variables. We used linear regression to model the mean annual zero-flow
duration (daily time step) at each gauge as a function of catchment
environment variables. This regression analysis was only conducted in SEQ as
most gauges in the Tamar catchment had perennial flow. The environmental
variables were the same as those in Yu et al. (2018) and included variables
related to climate (annual daily maximum temperature), catchment geology
topography (catchment area, catchment average slope, and catchment average
elevation), and catchment soil properties (catchment average saturated
hydraulic conductivity). Regression models were developed using all possible
predictor variable combinations, and we selected the “best” model for
predicting zero-flow duration based on the corrected Akaike's information
criterion (AICc) (Hurvich and Tsai, 1989). To estimate the prediction
error of the selected model, we applied leave-one-out cross-validation on
the selected 43 gauges and reported prediction error (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) to estimate
the model prediction performance. Regression model development and
cross-validation were conducted with the <italic>MuMIn</italic> and <italic>boot</italic> packages in R (R Development Core Team,
2017). Regression analyses were performed on all combinations of predictor
variables, and the best model with the lowest AICc (<inline-formula><mml:math id="M43" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>54.2) retained five
covariates, including annual daily maximum temperature, catchment area,
slope, average elevation, and average saturated hydraulic conductivity. The
developed predictive model showed a good model fit with an adjusted <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
of 0.71, and the leave-one-out cross-validation on the regression model
showed relatively good model performance with an average <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.64. We
checked for spatial autocorrelation of the regression model residuals (as
recommended by Dormann et al., 2007) and found they
were not significantly autocorrelated (Moran's <inline-formula><mml:math id="M46" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06, <inline-formula><mml:math id="M49" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.69).
Examination of spatial residual maps further supported this conclusion, with
no spatial trends in model residuals apparent.</p>
      <p id="d1e1193">Next, we used the predictive models to extrapolate estimates of overall flow
intermittency (in terms of the proportion of days with zero flow) to each
segment throughout the river network. Finally, for each segment, the
time series of daily runoff was truncated (flows below the threshold were
set to “0”) by adopting an appropriate threshold of “zero flow” that
preserved the proportion of days with flow as estimated in the previous
step. The adopted thresholds ranged from 0 to 1.668 m<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with a median
value of 0.002 m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. We recognise several sources of uncertainty in our
approach to estimating the zero-flow thresholds. The unexplained variation
in the predictive model may be due to the limited number of environmental
attribute covariates used in the model and hence ability to adequately
represent the range of environmental processes that influence streamflow
intermittency. Additional uncertainty in model predictions may arise because
the distribution of stream gauges used for model calibration
under-represented the frequency of extremely small catchments that likely
had higher cease-to-flow occurrence.</p>
      <p id="d1e1238">Based on the modelled daily streamflow from AWRA-L, we calculated annual
flow intermittency as the number of zero-flow days per year over the period
of 2005–2016. To evaluate the effect of time step (daily vs. monthly) on the
relative performance of AWRA-L in replicating observed<?pagebreak page5285?> patterns of
cease-to-flow periods, we compared model outputs with those derived from a
monthly water balance model – the WaterDyn model (Fig. 2). Monthly flow
intermittency estimated from WaterDyn was thus used to benchmark results
from the monthly AWRA-L. To do this, we aggregated daily outputs to a
monthly time step (termed “monthly AWRA-L” hereafter, Fig. 2). We tried two
different aggregation methods. One considered that the flows for a month
were zero when at least one day in that month had zero flow (termed “monthly
AWRA-L_01” hereafter), and the other considered that all days
in a month must have zero flow for that month to be zero (termed “monthly
AWRA-L_30” hereafter). These two methods together should
provide both upper and lower bounds of comparing daily and monthly models in
estimating flow intermittency. The WaterDyn model was developed to provide
monthly spatially contiguous water balance data at the Australian
continental scale by CSIRO and BoM with a similar model structure to AWRA-L
(Raupach et al., 2018), and it has been used to quantify the spatial and
temporal patterns of flow intermittency in SEQ following similar methods to
this study (Yu et al., 2018). Modelled flow intermittency from
all three sources (i.e. daily and monthly AWRA-L, and monthly WaterDyn) was
also tested against the measured flow intermittency derived respectively
from daily and monthly observed streamflow data at gauged locations in SEQ.</p>
      <p id="d1e1241">Taking advantage of the modelled long-term runoff data from AWRA-L over the
period of 1911–2016, we further quantified spatial and temporal dynamics of
flow intermittency for every stream segment within SEQ, and compared the
results with those from the WaterDyn model over the same period
(Yu et al., 2018). The spatial pattern of flow intermittency was
represented by the mean annual number of zero-flow days across the period of
1911–2016 for AWRA-L and by the mean annual number of calendar months for
WaterDyn. The temporal pattern of flow intermittency was expressed as the
proportion of streams with flow intermittency <inline-formula><mml:math id="M55" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 30 d and 1 month (termed “intermittent streams” hereafter) for AWRA-L and WaterDyn, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Negligible effects of river routing on daily flow simulations</title>
      <p id="d1e1267">The lumped and coupled (i.e. with routing) models using AWRA-L-simulated
runoff were run in both SEQ and Tamar, and produced similar values for
various flow metrics between the lumped and coupled models in both regions (Fig. 4;
<inline-formula><mml:math id="M56" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values were greater than 0.50 for most flow metrics based on the Wilcoxon test
results). There were noticeable but not statistically significant
differences for two flow metrics related to low flows (the variability in
timing and the frequency of low-flow spells), and only the duration of low-flow spells was statistically significant (<inline-formula><mml:math id="M57" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M58" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03). These results
suggested that the routing algorithm has nearly negligible effects on flow
simulations in our study areas, which is reasonable because of the small
size of the two watersheds. Therefore, in the subsequent analysis, we only
used the results from the AWRA-L lumped model as it is relatively less
computationally intensive and was able to maintain a comparable model
performance to that of the coupled model taking into account the routing
effect.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1293">Comparison of hydrological characteristics between the lumped and
coupled models in SEQ and Tamar. Refer to Table 1 for measurement
description for each flow metric. Metrics are grouped according to average
(Avg), high (H) and low (L) flow conditions. The values of <inline-formula><mml:math id="M59" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> statistic and
associated <inline-formula><mml:math id="M60" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values are also shown to indicate whether there is any
significant difference between the coupled and lumped simulations.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Accuracy assessment of modelled streamflow in SEQ and Tamar</title>
      <p id="d1e1324">The overall accuracy of streamflow estimated by the AWRA-L lumped model
(referred to as “modelled streamflow” in this section) was evaluated for 25
gauges in SEQ and 15 gauges in Tamar. Results suggested a fair to good
explanatory value across all gauges (Fig. 5). The KGE values varied across
the 25 gauges in SEQ, ranging from <inline-formula><mml:math id="M61" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19 (gauge no. 145103) to 0.76
(gauge no. 143901), with a median value of 0.42, while the model generally performed
better in Tamar and the KGE values ranged from 0.11 (gauge no. 18219.1) to 0.71
(gauge no. 852.1) across 15 gauges, with a median value of 0.47 (Fig. 5). However, no
significant difference was found in the overall model performance between
the two<?pagebreak page5286?> hydro-climatically distinctive regions, according to the Wilcoxon test
(<inline-formula><mml:math id="M62" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M63" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 247, <inline-formula><mml:math id="M64" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.10).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1364">Scatter plots of the measured and modelled (lumped) streamflow for
each gauge station in SEQ and Tamar. The modified Kling–Gupta efficiency
(KGE) is presented in each panel. The <inline-formula><mml:math id="M66" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axes are log-transformed
(<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) to aid interpretation.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e1410">Variation in observed and modelled (lumped) hydrologic
characteristics in SEQ and Tamar (<inline-formula><mml:math id="M69" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 25 and 15 gauge locations,
respectively). Refer to Table 1 for measurement
description for each flow metric. Metrics are grouped according to average
(Avg), high (H) and low (L) flow conditions. The <inline-formula><mml:math id="M71" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis is on a log scale
for better interpretation.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f06.png"/>

        </fig>

      <p id="d1e1441">Concerning model performance in simulating different components of flow
regimes, the modelled streamflow in SEQ revealed a generally good match with
the observed streamflow across all high-flow metrics and the magnitude of
average flow, but the model tended to overestimate the variation in the
magnitude of average flow (almost 2 times higher on average), report
earlier timing of low flows, overestimate the frequency (48 % higher),
and underestimate the duration (74 % lower) of low flows (Fig. 6).
Compared to the model performance in SEQ, the flow simulations in Tamar
showed slightly better performance, predicting well not only for the
high-flow metrics but also for the metrics related to average flows (Fig. 6). However, flow simulations in Tamar also exhibited slightly earlier
estimations for the timing of low-flow spells (13 % earlier),
overestimations for low-flow spell frequency (92 % lower on average), and
underestimation for low-flow spell duration (58 % lower) (Fig. 6).</p>
      <p id="d1e1444">Varying degrees of difference in the magnitude of low flow between the
observed and simulation were found among the gauges. There appeared to be a
tendency toward larger differences with increasing catchment area in SEQ but
not in Tamar (Fig. 7). The models appeared to overestimate in situ gains to low
flow in some reaches in both regions, while underestimating transmission
losses in SEQ, suggesting that overestimation of in situ gains in AWRA-L likely
contributes to the overall overestimation of low flow in downstream
catchments.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e1449">Scatter plot of gauged catchment areas and percentage difference
in low-flow magnitude between the observation and simulation in SEQ (solid
grey triangle) and Tamar (black cross). The regression line for each region
is also shown as a solid line (grey line for SEQ and black line for Tamar)
with the regression function and <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Quantifying flow intermittency using flow simulations</title>
      <p id="d1e1477">We calculated annual flow intermittency at gauged locations in SEQ using
three sources of modelled flow (daily and monthly AWRA-L, and monthly
WaterDyn). Annual flow intermittency calculated using daily AWRA-L flow
(i.e. the average number of cease-to-flow days per year) was tested against
annual flow intermittency estimated using observed data (Fig. 8a). The
AWRA-L model displayed the potential to be used to estimate flow
intermittency at a daily time step, with a fair match with the observed flow
intermittency (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.56) in SEQ. Nonetheless, the model tended<?pagebreak page5287?> to
overestimate flow intermittency for gauges located in relatively wet areas
(e.g. <inline-formula><mml:math id="M75" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 40 d of flow intermittency per year) while underestimating it
for gauges located in relatively dry areas (e.g. <inline-formula><mml:math id="M76" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 40 d of flow
intermittency per year).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e1514">Scatter plots of the observed and modelled flow intermittency by
the two models (AWRA-L and WaterDyn model) for SEQ. Daily AWRA-L and monthly
WaterDyn are derived from the original data from the two models, while
AWRA-L monthly_01 and monthly_30 are flow
intermittency estimates using the two different aggregation methods with
different thresholds (1 and 30 d, respectively) to classify a month as
zero-flowing. The solid line represents the regression line for each model.
The 1 : 1 line (dashed line) is plotted for reference.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f08.png"/>

        </fig>

      <p id="d1e1523">Figure 8b shows annual flow intermittency calculated using monthly AWRA-L
flow and monthly WaterDyn flow. In this case, annual flow intermittency was
defined as the average number of months characterised with zero flow. The
WaterDyn model showed much more accuracy than the two aggregation methods
based on the monthly AWRA-L model in estimating flow intermittency (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M78" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.53, 0.43, and 0.32 respectively for monthly WaterDyn, monthly
AWRA-L_01, and monthly AWRA-L_30). More
specifically, the WaterDyn model displayed a similar estimation pattern to
the daily AWRA-L model: overestimation in relatively wet areas and
underestimation in relatively dry areas. By contrast, not surprisingly, the
two aggregation methods showed the upper and lower bounds of flow
intermittency estimates from the monthly AWRA-L model: monthly
AWRA-L_01 overestimated flow intermittency and monthly
AWRA-L_30 underestimated flow intermittency at nearly all
gauges (Fig. 8b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e1547">Comparison of the spatial pattern of average annual flow
intermittency in SEQ derived from <bold>(a)</bold> daily flow simulations from the AWRA-L model and <bold>(b)</bold> monthly flow simulations from the WaterDyn model. Stream segments in both figures are coloured using the same frame but different units. Line thicknesses show the stream orders. Frequency distributions of variations in the total stream length for each of 12 flow intermittency classes are also shown for <bold>(c)</bold> the AWRA-L model and <bold>(d)</bold> the WaterDyn model.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f09.png"/>

        </fig>

      <?pagebreak page5288?><p id="d1e1568">The spatial patterns of flow intermittency derived from the daily AWRA-L and
monthly WaterDyn flow simulations aligned well for the main stems and some
coastal streams, which were predicted to flow for most of the time (Fig. 9a,
b). There were noticeable spatial differences between model predictions of
streamflow intermittency for low-order inland streams. For example, in the
western Brisbane River catchment and the South Coast River catchment, most
inland streams were predicted by the daily model to flow for a longer period
than by the monthly model; while in the Pine River catchment and the
Logan–Albert River catchment, many inland streams were predicted by the
daily model to flow for a shorter period (Fig. 9a). Compared to the monthly
WaterDyn model, fewer streams were predicted by the daily AWRA-L to
experience extremely long dry events as well as less than 1 month of zero
flows (Fig. 9c, d). However, more streams on average (60 and 49 %
for the AWRA-L and WaterDyn model, respectively) were predicted to flow
intermittently (<inline-formula><mml:math id="M79" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 30 d or <inline-formula><mml:math id="M80" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 month) to varying
degrees in SEQ, which suggests that flow intermittency was prevalent in SEQ,
irrespective of the water balance model used.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e1587">Comparison of intra-annual variation of the proportion of
intermittent streams in length from 1911 to 2016 across SEQ, derived from
streamflow simulations from the daily flow model (lumped, solid grey line)
and monthly flow model (dashed grey line). Three severe droughts in Australia
were also presented as transparent grey rectangles: Widespread drought
(1914–1920), WWII drought (1939–1946), and Millennium drought (2001–2009). The time series of annual mean precipitation is shown for reference.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/24/5279/2020/hess-24-5279-2020-f10.png"/>

        </fig>

      <?pagebreak page5289?><p id="d1e1596">Temporally, the daily model estimated that the proportion of intermittent
streams in SEQ varied from 29 to 80 % over the study period
(1911–2016), while the monthly model estimated the range to be from 3
to 80 % estimated during the same time span (Fig. 10). The two temporal
patterns were temporally correlated (<inline-formula><mml:math id="M81" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M82" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.71), and similar predictions
with higher proportions of intermittent streams were estimated for the dry
years by both models. Compared to dry years, the two models exhibited
greater differences in predictions for the wet years, where the daily model
tended to predict a higher proportion of intermittent streams. Overall, the
daily model suggested a drier history in SEQ in terms of flow intermittency
than the monthly model. The models successfully identified the extensive
drying associated with severe drought periods. Notably, the Widespread
drought (1914–1920), WWII drought (1939–1946), and Millennium drought
(2001–2009) were all visible in both two sets of model predictions.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d1e1624">The scarcity of information on the spatial and temporal extent of flow
intermittency has been identified as a major barrier for ecologists and
managers to understand and protect intermittent stream ecosystems
(Acuña et al., 2017). This barrier has been partly overcome in
previous studies by using statistical models relating flow intermittency to
surrounding environmental variables (Snelder et al., 2013; Jaeger et al.,
2019; González-Ferreras and Barquín, 2017; Bond and Kennard, 2017),
but most of these studies focused on only the spatial variations in flow
intermittency, except for Jaeger et al. (2019), overlooking its temporal
aspects. This issue becomes particularly urgent in a time when flow
regimes of streams are changing worldwide, mainly in response to climate
change and water extraction for human uses (Jaeger et al., 2014; Chiu et
al., 2017). Monthly runoff data have been recently used to quantify flow
intermittency for entire river networks (Yu et al., 2018), and
the current study takes one step further to use daily runoff data in flow
intermittency estimation, which is especially needed for studies aimed at
quantifying ecological responses to short-term flow events (e.g. frequent
zero-flow events within a month). In this study, we comprehensively examined
the ability of a daily water balance model to simulate streamflow, with a
particular focus on low-flow simulations. We also investigated how to better
choose water balance models to estimate flow intermittency by answering the
question of whether daily flow models outperform monthly flow models at
both daily and monthly scales. Our study can not only inform the estimation
of the spatial distribution of intermittent flow but also reveal the
temporal dynamics of intermittent streams over long time frames.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Efficient runoff–streamflow conversion for eco-hydrological research</title>
      <p id="d1e1634">Effects of river routing on daily flow simulations were found to be negligible in
SEQ and Tamar, most probably due to the relatively small size of the two
catchments and the relatively short length of even the longest streams
(Cunha et al., 2012). This can be verified with the concept of time
of concentration, which is commonly used to measure the time needed for
water to flow from the most remote point in a catchment to the catchment
outlet. By following the formula for calculating the time of concentration
proposed by Pilgrim and McDermott (1982) that has been widely used in
Australia, we found the time of concentration in SEQ is around 33 h,
only slightly more than a daily time step (24 h). This illustrates why
it is difficult for a daily time-step routing model to effectively capture
routing lags in our study domain. A negligible effect of river routing on flow
simulations was also observed in previous studies (David et al.,
2011a). Robinson et al. (1995) found that catchment size is a
primary factor in determining which process, the hillslope or the<?pagebreak page5290?> channel
network transport component, characterises lags in catchment runoff down the
river network. In areas such as SEQ and Tamar that have a relatively small
catchment size, the inclusion of channel network transport contributes
little to the improvement of flow simulations. The negligible effect of
river routing in SEQ and Tamar allowed us to simplify the simulation of
daily flows without coupling with a river routing model. Hence we were able
to use existing runoff outputs from the daily AWRA-L model. Arguably,
similar opportunities exist in other small catchments.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Accuracy assessment of modelled daily streamflow in two
hydro-climatically distinctive regions</title>
      <p id="d1e1645">Daily streamflow estimates showed a fair to good overall alignment with the
observed flows in both SEQ and Tamar, with all gauges showing that flow
simulations were better estimates than the mean of observations (KGE <inline-formula><mml:math id="M83" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41 at all gauges). Interestingly, although streamflow was more accurately
simulated in the Tamar than in SEQ (the median values of KGE were 0.47 and
0.42, respectively), the differences between the two hydro-climatically
distinctive regions were relatively small. Despite ongoing efforts to
calibrate AWRA-L against a set of reference scales distributed across the
continent (Viney et al., 2015), this finding was reassuring given the
much higher variability in rainfall and soil moisture in SEQ, factors that
typically can lead to a more non-linear streamflow response to rainfall
(Poncelet et al., 2017), which possibly undermines the ability of water
balance models to reliably predict runoff (Sheng et al., 2017). These
results hence bode well for the application of AWRA-L outputs across diverse
hydroclimatic regions.</p>
      <p id="d1e1662">When looking into the model performance for specific components of the flow
regime, average- and high-flow metrics were both modelled well in Tamar,
while only high-flow metrics were modelled well in SEQ. However, in both
regions, the AWRA-L model showed poor performance in low-flow metrics:
overestimating the frequency and<?pagebreak page5291?> underestimating the duration of low flows,
consistent with previous studies (Costelloe et al., 2005; Ivkovic et al.,
2014; Ye et al., 1997; Staudinger et al., 2011). This suggests that the AWRA-L
model is a generally robust model in predicting average and high flows but
still needs some improvement to better simulate low flows. Runoff generation
processes can vary substantially through space and time due to such factors
as variations in soil depth, antecedent soil moisture, and groundwater
connectivity, and this can influence spatio-temporal variations in low-flow
characteristics, including streamflow intermittency (Zimmer and
McGlynn, 2017). However, it is unknown to what extent this contributed
to uncertainty in the simulation of low flows and estimation in streamflow
intermittency in this study. The uncertainty of AWRA-L in low-flow
simulations can be linked to its over-responsiveness to rainfall, partly
caused by overestimation of in situ gains and underestimation of transmission
losses to low-flow discharge, as shown in SEQ. Previous studies found that
lateral flow exchange between grid cells of land surface models (e.g.
AWRA-L) plays a significant role in redistributing soil water (Kim and
Mohanty, 2016), and thus may improve in situ surface/subsurface runoff
simulations (Lee and Choi, 2017). On the other hand, hydrological
processes involved in transmission losses have been extensively discussed
(Jarihani et al., 2015; Konrad, 2006), and studies have
developed methods to calculate transmission losses for better flow
simulations (Lange, 2005; Costa et al., 2012). Therefore, low-flow
simulations by AWRA-L can possibly be improved by incorporating lateral
flow exchange algorithms and better accounting for hydrological process such
as evapotranspiration from riparian vegetation and infiltration into channel
beds. This improvement is made more likely as AWRA-L has been released as a
community modelling system (<uri>https://github.com/awracms/awra_cms</uri>, last access: 10 November 2020), which allows co-development by the research community.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Choose appropriate water balance model to quantify spatio-temporal dynamics of flow intermittency</title>
      <p id="d1e1676">Our results suggest that the temporal resolution of analysis should be
dictated by the resolution of input streamflow data. More specifically, the
daily AWRA-L flow showed promise for estimating flow intermittency at a
daily time step, while the monthly WaterDyn model was better than the
monthly AWRA-L model in flow intermittency estimation at a monthly time
step. This suggests that monthly flow models can sometimes outperform daily
flow models in quantifying flow intermittency, depending on the intended
temporal resolution of the analysis. For example, daily flow models may be
appropriate for studies aimed at quantifying ecological responses to
short-term flow events, while monthly flow models are more suitable for research
requiring the average degree of flow intermittency at a large spatial or
temporal scale, such as examining the effect of flow intermittency on
aquatic/streamside vegetation or species distributions
(Stromberg et al., 2005). In addition, our study also suggested
that the suitability of a monthly model (WaterDyn) for monthly resolution of
analysis was not challenged by a daily model (AWRA-L) simply through
aggregating daily streamflow simulations to a monthly time step. The
aggregation methods used here applied 1 or 30 d as a threshold<?pagebreak page5292?> and,
respectively, either substantially overestimated or underestimated flow
intermittency.</p>
      <p id="d1e1679">Spatially contiguous runoff data were used in this study to quantify spatial
and temporal dynamics of flow intermittency, shedding light on the temporal
aspect of flow intermittency that has been often overlooked in previous
studies. Annual flow intermittency in SEQ was shown to vary significantly
from year to year, ranging from 29 to 80 % of total stream length
for the AWRA-L model. However, given the limited spatial resolution of the
Geofabric stream network data (9 arcsec longitude–latitude resolution,
with a minimum upstream drainage area of 1.5 km<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) and hence ability
to resolve the smallest streams, and that small streams are more likely to
be intermittent, the proportion of predicted intermittent streams in SEQ may
be underestimated in our study. Although there are differences in the
temporal patterns of estimated flow intermittency between the AWRA-L and
WaterDyn models, neither model estimated intermittency to have a clear trend
over the past century. However, there is still the concern about the
potential shift of some perennial streams to intermittent streams due to
climate change and intense human activities, as it has been evident in
several regions where the number of low-flow and/or no-flow days is
increasing (King et al., 2015; Ruhí et al., 2016; Sabo, 2014).
Jaeger et al. (2014) investigated the effect of climate change on flow
intermittency patterns and found that annual zero-flow days frequency were
projected to increase by 27 % by mid-century in the Lower Colorado River
basin of the United States. Research looking into projected changes in regional
climate regimes can provide insights into future scenarios people may face,
but such research is still scarce.</p>
      <p id="d1e1691">The approach developed here to generate spatially continuous estimates of
streamflow characteristics (including flow intermittency) throughout stream
networks has potential applicability to other regions of Australia and
globally. All the data used in this study are available for the Australian
national scale, and similar datasets also exist in other countries. For
example, similar to the Geofabric data (Stein et al., 2014) used
here, the National Hydrography Dataset Plus (NHDPlus) and HydroATLAS
(Linke et al., 2019) provide hydrographic datasets and
hydro-environmental attributes for national (USA) and global scales,
respectively. In addition, similar to the daily flow model AWRA-L used in
this study, other global- and national-scale hydrologic models are also
available, such as the global WaterGAP model (Döll et al.,
2003), the community Noah land surface model (Noah-MP) (Niu et al.,
2011) in the USA, and the HYPE model (Lindström et al., 2010)
in Sweden.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e1703">In this study, we presented an approach to quantifying spatially explicit
and catchment-wide flow intermittency over long time frames based on
spatially contiguous daily runoff data from a readily accessible water
balance simulation. This research builds upon previous studies using monthly
runoff data, and paves the way for ecological research looking for metrics
of flow intermittency at a daily time step. By testing this approach in
eastern Australia, we not only confirmed our previous finding that
intermittent flow conditions prevailed in the majority of streams, but also
provided more detailed information on their spatio-temporal variability at a
daily time step. The proposed approach has potential applicability to other
catchments globally, but our results also highlighted some complexities that
future research should address to help improve the reliability of model
outputs.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1710">The data used in this study are available publicly online, and the access websites have been listed in the main text where they were first mentioned.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1716">AIJMvD, HXD, MJK, and SY designed the research, and SY and HXD carried it out. SY wrote the original draft, and HXD, AIJMvD, PL, NRB, and MJK contributed to writing of subsequent drafts.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1722">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1728">The project was supported by the Australian Climate and Water Summer
Institute organised by the Australian Energy and Water Exchange Research
Initiative (OzEWEX) and partners. This research was undertaken at the NCI
National Facility in Canberra, Australia, which is supported by the
Australian Commonwealth Government. We also gratefully acknowledge the
support of the Griffith University eResearch Services team and the use of
the high-performance computing cluster “Gowonda” to complete this research.
We would like to thank the Editor Christa Kelleher for handling our submitted
manuscript, and thank George Allen and three anonymous reviewers for their
comments and suggestions that much improved the final manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1733">This research has been supported by the China Scholarship Council and Griffith University (grant no. 201506040057) and the University of Michigan (grant no. U064474).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1739">This paper was edited by Christa Kelleher and reviewed by George Allen and three anonymous referees.</p>
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<abstract-html><p>There is a growing interest globally in the spatial distribution and
temporal dynamics of intermittently flowing streams and rivers, and how this
varies in relation to climatic and other environmental factors. However,
biases in the distribution of stream gauges may give a misleading impression
of spatial-temporal variations in streamflow intermittency within river
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water balance model to simulate streamflow in two hydro-climatically
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particular focus on low-flow simulations. We also evaluated the effect of
model time step (daily vs. monthly) on flow intermittency estimation to
inform future model selection. The water balance model showed better
performance in the temperate region characterised by steady baseflow than in
the subtropical region with flashy hydrographs and frequent cease-to-flow
periods. The model tended to overestimate low-flow magnitude mainly due to
overestimation of gains (e.g. groundwater release to baseflow) during
low-flow periods. Modelled patterns of flow intermittency revealed highly
dynamic behaviour in space and time, with cease-to-flow events affecting
between 29 and 80&thinsp;% of the river network over the period of
1911–2016, using a daily streamflow model. The daily flow model did not
perform better than the monthly flow model in quantifying flow intermittency
at a monthly time step, and model selection should depend on the intended
application of the model outputs. Our general approach to quantifying
spatio-temporal patterns of flow intermittency is transferable to other
parts of the world, and it can inform hydro-ecological understanding and
management of intermittent streams where limited gauging data are available.</p></abstract-html>
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