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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 GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-19-3217-2015</article-id><title-group><article-title>Impacts of climate change on temperature, precipitation and hydrology in Finland – studies using bias corrected Regional Climate Model data</article-title>
      </title-group><?xmltex \runningtitle{Impacts of climate change on temperature, precipitation and hydrology}?><?xmltex \runningauthor{T.~Olsson et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Olsson</surname><given-names>T.</given-names></name>
          <email>taru.olsson@fmi.fi</email>
        <ext-link>https://orcid.org/0000-0001-9703-4896</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Jakkila</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Veijalainen</surname><given-names>N.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Backman</surname><given-names>L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1501-2958</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kaurola</surname><given-names>J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Vehviläinen</surname><given-names>B.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Finnish Meteorological Institute, Erik Palménin aukio 1, 00101, Helsinki, Finland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Freshwater Centre, Finnish Environment Institute, Mechelininkatu 34a, P.O. Box 140, 00251, Helsinki, Finland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">T. Olsson (taru.olsson@fmi.fi)</corresp></author-notes><pub-date><day>24</day><month>July</month><year>2015</year></pub-date>
      
      <volume>19</volume>
      <issue>7</issue>
      <fpage>3217</fpage><lpage>3238</lpage>
      <history>
        <date date-type="received"><day>19</day><month>January</month><year>2015</year></date>
           <date date-type="rev-request"><day>3</day><month>March</month><year>2015</year></date>
           <date date-type="rev-recd"><day>11</day><month>June</month><year>2015</year></date>
           <date date-type="accepted"><day>23</day><month>June</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/.html">This article is available from https://hess.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Assessment of climate
change impacts on climate and hydrology on catchment scale requires reliable
information about the average values and climate fluctuations of the past,
present and future. Regional climate models (RCMs) used in impact studies
often produce biased time series of meteorological variables. In this study
bias correction (BC) of RCM temperature and precipitation for Finland is
carried out using different versions of the distribution based scaling (DBS)
method. The DBS-adjusted RCM data are used as input of a hydrological model
to simulate changes in discharges of four study catchments in different parts
of Finland. The annual mean discharges and seasonal variation simulated with
the DBS-adjusted temperature and precipitation data are sufficiently close to
observed discharges in the control period 1961–2000 and produce more
realistic projections for mean annual and seasonal changes in discharges than
the uncorrected RCM data. Furthermore, with most scenarios the DBS method
used preserves the temperature and precipitation trends of the uncorrected
RCM data during 1961–2100. However, if the biases in the mean or the
standard deviation of the uncorrected temperatures are large, significant
biases after DBS adjustment may remain or temperature trends may change,
increasing the uncertainty of climate change projections. The DBS method
influences especially the projected seasonal changes in discharges and the
use of uncorrected data can produce unrealistic seasonal discharges and
changes. The projected changes in annual mean discharges are moderate or
small, but seasonal distribution of discharges will change significantly.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Climate in Finland is boreal with temperate and sub-arctic
features and four distinct seasons (Castro et al., 2007; Jylhä et
al., 2009a). Winters are mostly cold and snowy and summers rather short, cool
and rainy. Precipitation is moderate in all seasons. Hydrology in Finland is
characterized by seasonal variation with snow accumulation and low flow
during winter, snowmelt with runoff peak in spring, another low flow season
in summer and increasing runoffs towards autumn. Climate change is expected
to significantly influence the hydrology in Finland. Climate zones are
expected to shift towards the north during this century, and the prevailing
climate type will become more temperate and wet (Jylhä et al., 2009a).
According to Jylhä et al. (2009b) annual mean temperature is likely to
increase by 3–6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by the end of this century, compared to
1971–2000. Precipitation is expected to increase 12–22 % in Finland by
the end of the century (Jylhä et al., 2009b), but the spatial
distribution or the temporal cycle of the seasonal precipitation will not
change significantly.</p>
      <p>Changes in temperature will inevitably affect the snow and ice accumulation
and melt processes as well as the extent of snow and ice cover. In southern
Finland permanent snow cover will become rare by the end of the century
(Ruosteenoja et al., 2011). Changes in temperature and precipitation and
consequent changes in snow accumulation and melt will affect seasonal
variation of river discharges and water levels of lakes. Because the
temperature in winter will more frequently rise above zero degrees, winter
discharges and water levels will increase, while spring snowmelt discharges
decrease especially in southern and central Finland due to decreased snow
accumulation (Vehviläinen and Huttunen, 1997; Veijalainen et al., 2010).
The changes in river discharge and lake water levels will cause adaptation
needs in water power production, flood protection and lake regulation
(Veijalainen, 2012).</p>
      <p>Regional and local climate change scenarios are needed for assessments of
climate change impacts on hydrology and other sectors in Finland. The spatial
resolution of global climate models (GCM) (100–300 km) is insufficient to
simulate regional scale events that are needed to capture different weather
phenomena in a catchment scale. Projections of GCMs can be dynamically
downscaled with regional climate models (RCMs) to scales of 25–50 km, which
represents the Finnish catchment scales better. Though nested models are more
computationally demanding, dependent on GCM forcing and need detailed surface
data, they are able to produce more detailed information on temporal and
spatial scales than GCMs (Hewitson and Crane, 1996). This information is
necessary when RCM data are used as input for impact models such as
hydrological models.</p>
      <p>Although increased horizontal resolution can improve the simulation of
regional and local climate features, RCMs still produce biases in the time
series of climate variables (Christensen et al., 2008; Rauscher et
al., 2010). RCMs are found to have lower skill to reproduce temperature and
precipitation in colder regions (Teutschbein and Seibert, 2012) and have
difficulties to reproduce realistic values near the coast line and lakes in
Finland (Jylhä et al., 2009b). Hydrological simulations using the RCM
data as direct input are sensitive to RCM biases (Wood et al., 2004), and
especially regions such as Finland are sensitive to temperature bias, where
seasonal snowpack causes a time shift in runoff generation (Wood et
al., 2004; Veijalainen et al., 2012). Therefore, an efficient bias correction
(BC) method for both precipitation and temperature should be applied to the
RCM data.</p>
      <p>Several approaches are available for adjusting RCM variables; these can be
divided into delta change (DC) and BC methods. The DC
approach adjusts observations with the RCM climate change signal, whereas
the BC approach adjusts the daily RCM simulated variables based on the
difference between observed and simulated climate in the control period.
Compared to the DC method the BC approach usually better preserves the
future variability in temperature and precipitation produced by the RCMs,
enables representation of complex changes in climate related to changes in
mesoscale weather conditions and enables transient scenarios instead of
comparison between time slices (Graham et al., 2007; Lenderink et al., 2007;
Beldring et al., 2008; Yang et al., 2010). Bias correction methods have been
proved to improve daily mean, standard deviation (SD), and distribution of
the RCM temperature and precipitation when compared to observed climate
statistics (e.g. Yang et al., 2010; Teutschbein and Seibert, 2012;
Räisänen and Räty, 2013; Räty et al., 2014).</p>
      <p>In this paper, bias corrected RCM data sets of precipitation and temperature
covering the area of Finland are produced. Two versions of a distribution
based bias correction method are evaluated for temperature and
precipitation. In addition, a simple mean bias correction is applied for
daily wind speed and specific humidity, which are used in simulation of lake
evaporation in the hydrological model. These bias corrected values are then
used as input of the hydrological model to simulate discharges and their
changes due to climate change in selected catchments. The goal is to
evaluate the DBS method in climate change impact studies of river discharges
in Finland. This article focuses on annual and seasonal mean values, while
the
second part of the study in a separate paper will focus on extremes,
especially heavy precipitation and floods, and their changes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Schematic presentation of application procedure used in this study
for hydrological modelling of climate change impact with bias corrected RCM
data.</p></caption>
        <?xmltex \igopts{width=256.074803pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f01.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Map of the study catchments.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f02.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
      <p>In this study, climate scenarios from RCMs are first bias corrected using
observations of temperature, precipitation, wind speed and humidity and then
used to produce hydrological scenarios for the study catchments (Fig. 1).</p>
<sec id="Ch1.S2.SS1">
  <title>Study catchments</title>
      <p>Four catchments located in different parts of Finland were selected as study
catchments (Fig. 2). These represent different hydrological regions in
Finland. Loimijoki (Maurialankoski observation station, catchment area
2650 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>; lake percentage 3.1) is a medium sized river with high
proportion of cultivated area on clay soils. Nilakka (catchment area
2160 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>; 18 % lake percentage) and Lentua (2050 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>;
13 %) observation stations are located at lake outlets in central Finland
characterized by numerous lakes. Ounasjoki (Marraskoski observation station,
12 300 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>; 2.6 %) is a large river in northern Finland
(Fig. 2) (Korhonen and Kuusisto, 2010). All the study
catchments have long water level and discharge observation series, the longest
from 1912 onwards (Lentua) and the shortest from 1935 onwards (Loimijoki).</p>
      <p>Annual mean runoff in the study catchments varies from 280 to 370 mm. Runoff
has a distinct seasonal variation with low values during winter and summer
and a maximum in spring due to snowmelt. The average maximum snow water
equivalent varies from 80 to 100 mm in the southern catchment (Loimijoki) to
180 mm in the northern Ounasjoki catchment (Perälä and Reuna, 1990).
Annual soil and lake evaporation gradually decrease from southern Loimijoki
(soil 400 mm; lake 540 mm) to northern Ounasjoki (soil 220 mm; lake 310 mm)
(Hyvärinen et al., 1995). Autumn precipitation causes a second runoff
peak, which is usually smaller than the spring peak. The spring floods are
more pronounced in northern and central Finland (Ounasjoki, Lentua, Nilakka),
while in southern Finland (Loimijoki) heavy rains in summer and autumn or
rains with snowmelt in winter may cause major floods as well.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Observations and RCM data</title>
      <p>Bias corrections were calculated for the entire Finland including
transboundary watershed areas in Norway, Sweden and Russia. The gridded data
sets needed for the bias correction were calculated using observations from
approximately 190 stations with daily temperature measurements at 2 m height
and 250 stations with daily precipitation measurements from the Finnish
Meteorological Institute (FMI). Additional observations from 11 temperature
and 16 precipitation observation stations in Norway, Sweden and Russia were
provided by the Norwegian Meteorological Institute, the Swedish
Meteorological and Hydrological Institute (SMHI) and the Hydrometeorological
Centre of Russia. Observations from 1961 to 2000 were used although the
observation network varies during this period.</p>
      <p>Gauge precipitation observations especially for snowfall contain various
systematic measurement errors (Førland et al., 1996; Taskinen, 2015),
which need to be corrected before they can be used for bias correction of RCM
data. The correction of precipitation measurements consisted of the exposure
method for aerodynamic correction as well as wetting and evaporation
corrections (Taskinen, 2015). The areal values of the meteorological
observations are calculated for each sub-basin of the hydrological model from
three closest observation stations by inverse distance weighting taking into
account the elevation differences. The areal values were converted to the
same regular <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>0.25</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>lat <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn>0.25</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>long grid as the RCM
data.</p>
      <p>The observations of relative humidity at 2 m and wind speed at 10 m are
used in the simulation of lake evaporation, which is an important
hydrological variable for catchments in the lake area. The areal values are
calculated in a similar way as temperature and precipitation and the effect of
fetch to the wind speed on a lake is calculated as in Resio and Vincent
(1977).</p>
      <p>Five climate scenarios are used from four different RCMs forced with four different GCMs as given in Table 1 with acronyms used hereinafter.
Selected RCM projections are the same as used in Veijalainen et al. (2012),
excluding RCA-ECHAM5 (see Table 4), to enable
comparison of results. The data were retrieved from the ENSEMBLE
(ENSEMBLE-based Predictions of Climate Changes and their Impacts) project's research team 3
database (<uri>ensemblesrt3.dmi.dk</uri>; van der Linden and Mitchell, 2009). The
GCMs were run under historic (1961–2000) and with A1B scenario (2001–2100)
forcing. The GCM output was then used as boundary conditions to force RCMs
over a common European domain in a regular <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>0.25</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>lat <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn>0.25</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>long grid (van der Linden and Mitchell, 2009).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Regional climate model (RCM) data used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="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">Name/Acronym</oasis:entry>  
         <oasis:entry colname="col2">RCM</oasis:entry>  
         <oasis:entry colname="col3">GCM</oasis:entry>  
         <oasis:entry colname="col4">Emission</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">scenario</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">HIRHAM-A</oasis:entry>  
         <oasis:entry colname="col2">HIRHAM5</oasis:entry>  
         <oasis:entry colname="col3">ARPEGE</oasis:entry>  
         <oasis:entry colname="col4">A1B</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HIRHAM-B</oasis:entry>  
         <oasis:entry colname="col2">HIRHAM5</oasis:entry>  
         <oasis:entry colname="col3">BCM</oasis:entry>  
         <oasis:entry colname="col4">A1B</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">REMO</oasis:entry>  
         <oasis:entry colname="col2">REMO</oasis:entry>  
         <oasis:entry colname="col3">ECHAM5</oasis:entry>  
         <oasis:entry colname="col4">A1B</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RCA</oasis:entry>  
         <oasis:entry colname="col2">RCA</oasis:entry>  
         <oasis:entry colname="col3">ECHAM5</oasis:entry>  
         <oasis:entry colname="col4">A1B</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HadRM</oasis:entry>  
         <oasis:entry colname="col2">HadRM3Q0</oasis:entry>  
         <oasis:entry colname="col3">HadCM3Q0</oasis:entry>  
         <oasis:entry colname="col4">A1B</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>HIRHAM5 is a combination of the HIRLAM (High Resolution Limited
Area Model) and ECHAM; REMO is the Max Planck Institute's REgional MOdel; RCA
is the
Rossby Center Regional Atmospheric Model; HadRM3Q0 is the Hadley Centre Regional
Model, version 3 (normal sensitivity);<?xmltex \hack{\\}?>ARPEGE is the Action de Recherche Petite Echelle Grande Echelle; BCM is the Bergen
Climate Model; ECHAM5 is the European Centre Hamburg model, version 5; HadCM3Q0
is the Hadley Centre Coupled Model, version 3 (normal sensitivity).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Bias correction methods</title>
      <p>The distribution based scaling (DBS) method described, e.g., in Yang et
al. (2010) and Teutschbein and Seibert (2012) was used to scale temperature
and precipitation time series to better represent observed distributions. The
correction procedures using cumulative distribution functions (CDFs) are shown
in Fig. 3. In this study CDFs are constructed on a daily basis for
temperature and for all days with certain months for precipitation. The method
of maximum likelihood is used to estimate distribution parameters.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Procedure of the distribution based mapping. Upper panels for
temperature adjustment and lower panels for precipitation (pr) adjustment.
For temperature, Gaussian adjustment without wet–dry state separation (left)
and with wet–dry separation (right) is shown. For precipitation, gamma
adjustment with single gamma (left) and double gamma divided at 95th
percentile (right) is shown. (1) Locate the cumulative probability value of
RCM simulated daily temperature/precipitation. (2) Locate the observed
temperature/precipitation value corresponding the same cumulative probability
value as in (1). (3) This value is used as corrected value for RCM
simulation.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f03.png"/>

        </fig>

      <p>Temperature (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) is described by a Gaussian (normal) distribution with daily
mean (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>) and standard deviation (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>). The DBS approach for
temperature included four steps: (1) to take into account the dependence
between precipitation and temperature, the temperature data were divided into
wet and dry days resulting in two sets of parameters; (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for wet days and (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
for dry days, hereafter referred to as (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>w–d</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>w–d</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The separation was conducted after excessive drizzle
days were removed (described below; Eqs. 5, 6). In this study we also use the
distribution parameters without wet–dry state separation (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>).
(2) To take into account seasonal variations, daily mean and standard
deviation were calculated using a 15-day moving window and (3) were further
smoothed with Fourier series with five harmonics on a daily basis over the
control period 1961–2000, as in Yang et al. (2010). (4) These smoothed
daily mean and standard deviation for each grid point were then used to
calculate the daily (<inline-formula><mml:math display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>) CDFs for observations (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and RCMs (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>contr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>contr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) for
the control period (Fig. 3). DBS parameters for the control period were used
also to adjust the scenario (scen) runs. DBS procedure expressed in terms of
the Gaussian CDF without wet–dry separation:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:msub><mml:mi>T</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mfenced open="(" close=""><mml:mi>F</mml:mi><mml:mfenced open="(" close=""><mml:msub><mml:mi>T</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mfenced open="|" close=")"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>contr</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mfenced close=")" open="|"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>obs</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:msub><mml:mi>T</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mfenced open="(" close=""><mml:mi>F</mml:mi><mml:mfenced open="(" close=""><mml:msub><mml:mi>T</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mfenced close=")" open="|"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>contr</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mfenced open="|" close=")"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>obs</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            DBS procedure expressed in terms of Gaussian CDF with wet–dry separation:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>contr, w–d</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8}{8}\selectfont$\displaystyle}?><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=""><mml:mi>F</mml:mi><mml:mfenced close="" open="("><mml:msub><mml:mi>T</mml:mi><mml:mtext>contr, w–d</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mfenced close=")" open="|"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>contr, w–d</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>contr, w–d</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mfenced close=")" open="|"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>obs, w–d</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>obs, w–d</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>scen, w–d</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8}{8}\selectfont$\displaystyle}?><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=""><mml:mi>F</mml:mi><mml:mfenced open="(" close=""><mml:msub><mml:mi>T</mml:mi><mml:mtext>scen, w–d</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mfenced open="|" close=")"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>contr, w–d</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>contr, w–d</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mfenced close=")" open="|"><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mtext>obs, w–d</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>obs, w–d</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mfenced><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            For precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) single and double gamma distributions were used in
four steps. In contrast to Yang et al. (2010) where the DBS parameters (shape
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and scale <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>) were estimated seasonally, we estimated DBS
parameters on a monthly basis. Single CDF for certain month is used for the
whole time slice (1961–2000). Also seasonally optimized parameters were
tried out, but these produced too high monthly precipitation sums for Finland
(not shown) and thus were not used. (1) For both distributions, excessive
drizzle days in the RCM data were first removed by defining a cut-off value
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>th,contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> that reduced the percentage of wet days in the RCMs
to that of the observations on a monthly (<inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>) basis. In this study only days
with observed precipitation larger than 0.1 mm (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>th,obs</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were
considered wet days, and the rest dry days. A monthly precipitation threshold
value for each RCM control run (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>th,contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was then set to the
cut-off value so that the percentage of RCM simulated and observed wet days
matched (Eq. 5). Due to the stationary assumption the same threshold value
was used to reduce the drizzle days for a future period to enable the scenario
run to have different wet day frequency than the control run (Eq. 6).
Precipitation amounts smaller than the threshold value were not redistributed
to the remaining wet days.

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="cases" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>th, contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>otherwise</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="cases" rowspacing="0.2ex" columnspacing="1em" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>th, contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>otherwise</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            (2) The remaining daily precipitation was adjusted to match the observed
frequency distribution using single gamma distribution (Eq. 7). (3) To better
capture the extreme precipitation events a double gamma distribution was also
used, then the observed and RCM generated precipitation distributions were
separated into two by the 95th percentile of CDF (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>obs,95th</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), resulting into two sets of parameters: (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) for below the 95th percentile precipitation and (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) above it. (4) These monthly parameters for each grid point were
then used to calculate the CDFs for observations (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and RCMs (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>contr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>contr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) during
the control period (Eqs. 9, 10; Fig. 3). Monthly DBS parameters for the
control period and the 95th percentile threshold (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) were
also used for the scenario (scen) runs (Eqs. 8, 11, 12). The DBS procedure
expressed in terms of single gamma CDF:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The DBS procedure expressed in terms of double gamma CDF:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,1</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mi>F</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,2</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mi>F</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>≥</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>sken, 1</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mi>F</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs1</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E11"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>sken,2</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>F</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>⋅</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mi>F</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>contr2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>contr2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:mtext>obs2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>obs2</mml:mtext><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E12"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>scen</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>)</mml:mo><mml:mo>≥</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>contr,95th</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Wind speed and specific humidity of the RCM data were corrected by adding the
monthly mean differences between the observations and the RCMs. The same
corrections were used in the scenario periods. Since the wind speed and
specific humidity affect only the calculation of lake evaporation in the
hydrological model, it is assumed that this simple bias correction works
sufficiently well to achieve corresponding water level and discharge
distribution as with observed input variables.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Hydrological model and modelling approaches</title>
      <p>The hydrological model used in this paper was from the watershed simulation
and forecasting system (WSFS). It is a conceptual hydrological model
developed and operated at Finnish Environment Institute (SYKE)
(Vehviläinen et al., 2005). The WSFS is used as the national hydrological
forecasting and flood warning system (Finnish Environment Institute, 2015) as
well as for research purposes (e.g. Veijalainen et al., 2012; Jakkila et
al., 2014; Huttunen et al., 2015). The conceptual rainfall–runoff model in
the WSFS is based on the HBV (Hydrologiska Byråns Vattenbalansavdelning)
model structure developed at SMHI (Bergström, 1976), but the models
differ from each other, e.g., in the river routing, catchment description and
in some process models such as the snow model (Vehviläinen, 1992;
Vehviläinen et al., 2005). HBV-type models have been used in several
climate change impacts studies in different parts of the world (e.g.
Steele-Dunne et al., 2008; van Pelt et al., 2009), most commonly in
Scandinavia (e.g. Andréasson et al., 2004; Beldring et al., 2008)</p>
      <p>The WSFS hydrological model consists of small sub-basins, numbering over 6000
in Finland with an average size of 60 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (20–500 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)
(Vehviläinen et al., 2005). The water balance is simulated for each
sub-basin, and sub-basin are connected to produce the water balance and
simulate water storage and transfer in the river and lake network within the
entire catchment. The sub-models in WSFS include a precipitation model
calculating areal value and form for precipitation, a snow accumulation and
melt model based on the temperature-index (degree-day) approach, a
rainfall–runoff model with soil moisture, sub-surface and groundwater
storages, and models for lake and river routing.</p>
      <p>The WSFS was calibrated against water level, discharge and snow line water
equivalent observations from 1981 to 2012. The Nash–Sutcliffe efficiency
criterion <inline-formula><mml:math 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> (Nash and Sutcliffe, 1970) for the control period 1961–2000
in the four case study catchments was 0.78 for Loimijoki, 0.80 for Nilakka,
0.87 for Lentua and 0.87 for Ounasjoki. The <inline-formula><mml:math 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> values within the
calibration period 1981–2000 are considerably better than in the validation
period 1961–1980: 0.84 and 0.71 for Loimijoki, 0.91 and 0.68 for Nilakka,
0.92 and 0.81 for Lentua and 0.87 and 0.88 for Ounasjoki, respectively, for
calibration and validation periods. The reasons for remarkably lower values
in the validation period are the possible changes in rating curves in
Loimijoki and Nilakka and the change of the rain station gauges from Wild to
Tretjakov-type gauges. The measurement errors for different gauge types are
done separately (Taskinen, 2015), but the uncertainty range of wind effect on
snowfalls is much larger for Wild than Tretjakov.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>A distinct seasonal cycle can be seen in both temperature and precipitation
in Finland (Fig. 4). Annual mean temperature varies from above 5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in southern Finland to below <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in northern Finland with
maximum monthly mean temperatures in July (ca. 15 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and minimum in
January–February (ca. <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The primary peak in seasonal
precipitation accumulation occurs in summer (ca. 220 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">season</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
and secondary in autumn (ca. 180 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">season</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), spring being the
driest season (ca. 110 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">season</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In this study we define
torrential precipitation to be daily precipitation accumulation exceeding
20 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> which is the official threshold value used in FMI.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Monthly mean precipitation accumulation (left) and temperature
(right) in observations and RCMs in Finland during the control period
1961–2000. Observations (black) and uncorrected RCMs (colours) in solid
lines, adjusted RCMs in dashed and dotted lines. Monthly mean precipitation
adjusted with single gamma (1-gamma) are presented as dashed lines, and with
double gamma (2-gamma) as dotted lines (left panel). Monthly mean
temperatures adjusted with wet–dry state separation (w–d Gaussian) are
presented as dashed lines and without wet–dry separation (Gaussian) as dotted
lines (right panel). All adjusted values follow closely the observations and
no big differences can be seen between the two bias correction procedures.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f04.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Cumulative distribution functions for daily temperature in Lentua
catchment during the control period 1961–2000. Observations and uncorrected
RCM data in left column, daily RCM temperatures adjusted with wet–dry state
separation (w–d Gaussian) are presented in middle column and without wet–dry
separation (Gaussian) in right column. Winter is shown in first row, spring
in second row, summer in third row and autumn in bottom row. All the adjusted
values closely follow the observed distribution and no big differences can be
seen between the two bias correction procedures.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f05.png"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><caption><p>Distribution of daily precipitation amounts during the control period
1961–2000 spring in Nilakka catchment in observations and uncorrected RCM
data (top panel), single Gamma-adjusted RCM data (middle panel) and double
Gamma-adjusted RCM data (bottom panel). Notice the uneven precipitation
division and different scaling for precipitation amounts greater than
20 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f06.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>RCM temperature and precipitation in control period</title>
      <p>The five RCMs used in this study are able to capture the annual cycle of
temperature in the control period quite well, but monthly temperatures are
commonly underestimated throughout the year except in winter by RCA and REMO
and in autumn by HIRHAM-A (Fig. 4). The CDFs
show that all RCMs cumulate too much below 0 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
temperatures and too little above 0 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperatures especially
in spring, although also in winter and autumn (Fig. 5).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Deviation between observed and RCM accumulated seasonal
precipitation during control period 1961–2000 in uncorrected and DBS-adjusted (single gamma is 1 gamma, double gamma is 2 gamma)
precipitation in percent. Values are shown for Loimijoki in southern Finland
and Ounasjoki in northern Finland to demonstrate the spatial variation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

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

         <oasis:entry rowsep="1" colname="col4">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">2 Gamma</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry rowsep="1" colname="col7">Uncorrected</oasis:entry>

         <oasis:entry rowsep="1" colname="col8">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col9">2 Gamma</oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry namest="col3" nameend="col5" align="center">Loimijoki </oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry namest="col7" nameend="col9" align="center">Ounasjoki </oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Winter</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">53.04</oasis:entry>

         <oasis:entry colname="col4">0.23</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">45.27</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.55</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">12.22</oasis:entry>

         <oasis:entry colname="col4">0.52</oasis:entry>

         <oasis:entry colname="col5">0.19</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">34.55</oasis:entry>

         <oasis:entry colname="col8">0.04</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">5.42</oasis:entry>

         <oasis:entry colname="col4">0.04</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">5.93</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.59</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.57</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.76</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">12.37</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.49</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.88</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">2.11</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.69</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.65</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.85</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.86</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Spring</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">77.04</oasis:entry>

         <oasis:entry colname="col4">0.73</oasis:entry>

         <oasis:entry colname="col5">0.39</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">80.50</oasis:entry>

         <oasis:entry colname="col8">1.58</oasis:entry>

         <oasis:entry colname="col9">0.74</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">29.71</oasis:entry>

         <oasis:entry colname="col4">1.04</oasis:entry>

         <oasis:entry colname="col5">0.59</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">54.51</oasis:entry>

         <oasis:entry colname="col8">1.58</oasis:entry>

         <oasis:entry colname="col9">0.73</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">30.91</oasis:entry>

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

         <oasis:entry colname="col5">0.26</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">23.75</oasis:entry>

         <oasis:entry colname="col8">0.44</oasis:entry>

         <oasis:entry colname="col9">0.16</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">42.41</oasis:entry>

         <oasis:entry colname="col4">0.22</oasis:entry>

         <oasis:entry colname="col5">0.15</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">35.76</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.55</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">40.80</oasis:entry>

         <oasis:entry colname="col4">0.93</oasis:entry>

         <oasis:entry colname="col5">0.57</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">39.34</oasis:entry>

         <oasis:entry colname="col8">1.31</oasis:entry>

         <oasis:entry colname="col9">0.64</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Summer</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.75</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.72</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.26</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">16.81</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.16</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">2.90</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>

         <oasis:entry colname="col5">0.03</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">16.44</oasis:entry>

         <oasis:entry colname="col8">0.15</oasis:entry>

         <oasis:entry colname="col9">0.09</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">27.19</oasis:entry>

         <oasis:entry colname="col4">1.29</oasis:entry>

         <oasis:entry colname="col5">0.56</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">17.31</oasis:entry>

         <oasis:entry colname="col8">0.51</oasis:entry>

         <oasis:entry colname="col9">0.23</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">1.27</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">26.88</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.67</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.20</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.53</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.47</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.63</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.38</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.47</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.60</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry colname="col1" morerows="4">Autumn</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">24.27</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54</oasis:entry>

         <oasis:entry colname="col5">0.01</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">55.70</oasis:entry>

         <oasis:entry colname="col8">0.59</oasis:entry>

         <oasis:entry colname="col9">0.49</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">6.65</oasis:entry>

         <oasis:entry colname="col4">0.35</oasis:entry>

         <oasis:entry colname="col5">0.42</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">41.47</oasis:entry>

         <oasis:entry colname="col8">1.08</oasis:entry>

         <oasis:entry colname="col9">0.78</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">22.94</oasis:entry>

         <oasis:entry colname="col4">0.91</oasis:entry>

         <oasis:entry colname="col5">0.68</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">34.23</oasis:entry>

         <oasis:entry colname="col8">1.22</oasis:entry>

         <oasis:entry colname="col9">0.72</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.56</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.12</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">18.65</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.53</oasis:entry>

         <oasis:entry colname="col9">0.06</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">17.17</oasis:entry>

         <oasis:entry colname="col4">0.87</oasis:entry>

         <oasis:entry colname="col5">0.85</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">21.96</oasis:entry>

         <oasis:entry colname="col8">0.26</oasis:entry>

         <oasis:entry colname="col9">0.31</oasis:entry>

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

      <p>There are prominent differences in the ability of RCMs to capture the annual
cycle of precipitation during the control period (Fig. 4). All models in this
study heavily overestimate precipitation accumulation almost throughout the
year with some exceptions in summer and winter. In particular, HIRHAM-A and
HIRHAM-B produce too much precipitation in spring and autumn and are too dry
in summer. The overestimation in accumulated precipitation is relatively
largest in spring, varying from 2.6–61 % in Nilakka to 24–81 % in
Ounasjoki (Table 2). All RCMs show a higher percentage of wet days than
observed, which is caused by too high percentage of light precipitation
(<inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Fig. 6). Occurrence of torrential
(<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) precipitation events is overestimated in RCMs
in every catchment and season.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Comparison between uncorrected (black) and DBS-adjusted (pink
without wet–dry state separation and green with wet–dry state separation)
daily temperatures during control period 1961–2000 in Lentua. Red line corresponds to the observations.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f07.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Changes in uncorrected and DBS-adjusted RCM seasonal precipitation
sums in % and daily mean temperatures as <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C between control
(1961–2000) and scenario periods (2051–2090). Values are shown for winter
and spring in Loimijoki catchment in southern Finland.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center">Precipitation (%) </oasis:entry>

         <oasis:entry namest="col6" nameend="col8" align="center">Temperature (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) </oasis:entry>

         <oasis:entry rowsep="1" colname="col9"/>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

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

         <oasis:entry colname="col4">1 Gamma</oasis:entry>

         <oasis:entry colname="col5">2 Gamma</oasis:entry>

         <oasis:entry colname="col6"/>

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

         <oasis:entry colname="col8">W–D Gaussian</oasis:entry>

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

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Winter</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">11.0</oasis:entry>

         <oasis:entry colname="col4">12.3</oasis:entry>

         <oasis:entry colname="col5">11.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.9</oasis:entry>

         <oasis:entry colname="col8">3.0</oasis:entry>

         <oasis:entry colname="col9">2.7</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">12.7</oasis:entry>

         <oasis:entry colname="col4">15.7</oasis:entry>

         <oasis:entry colname="col5">13.9</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">3.4</oasis:entry>

         <oasis:entry colname="col8">5.1</oasis:entry>

         <oasis:entry colname="col9">4.5</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">19.0</oasis:entry>

         <oasis:entry colname="col4">21.0</oasis:entry>

         <oasis:entry colname="col5">19.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">3.6</oasis:entry>

         <oasis:entry colname="col8">4.7</oasis:entry>

         <oasis:entry colname="col9">4.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">9.3</oasis:entry>

         <oasis:entry colname="col4">8.9</oasis:entry>

         <oasis:entry colname="col5">8.6</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">4.4</oasis:entry>

         <oasis:entry colname="col8">5.0</oasis:entry>

         <oasis:entry colname="col9">4.5</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">23.6</oasis:entry>

         <oasis:entry colname="col4">25.4</oasis:entry>

         <oasis:entry colname="col5">26.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">4.9</oasis:entry>

         <oasis:entry colname="col8">4.3</oasis:entry>

         <oasis:entry colname="col9">3.8</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Spring</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.6</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.0</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.6</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.7</oasis:entry>

         <oasis:entry colname="col8">2.6</oasis:entry>

         <oasis:entry colname="col9">2.5</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">9.2</oasis:entry>

         <oasis:entry colname="col4">13.2</oasis:entry>

         <oasis:entry colname="col5">11.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.8</oasis:entry>

         <oasis:entry colname="col8">3.4</oasis:entry>

         <oasis:entry colname="col9">3.3</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">16.7</oasis:entry>

         <oasis:entry colname="col4">17.1</oasis:entry>

         <oasis:entry colname="col5">17.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.7</oasis:entry>

         <oasis:entry colname="col8">3.8</oasis:entry>

         <oasis:entry colname="col9">3.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">6.7</oasis:entry>

         <oasis:entry colname="col4">7.3</oasis:entry>

         <oasis:entry colname="col5">6.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">4.5</oasis:entry>

         <oasis:entry colname="col8">4.3</oasis:entry>

         <oasis:entry colname="col9">4.1</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">27.1</oasis:entry>

         <oasis:entry colname="col4">37.7</oasis:entry>

         <oasis:entry colname="col5">34.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">3.8</oasis:entry>

         <oasis:entry colname="col8">3.5</oasis:entry>

         <oasis:entry colname="col9">3.4</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Summer</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.8</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.1</oasis:entry>

         <oasis:entry colname="col8">2.4</oasis:entry>

         <oasis:entry colname="col9">2.4</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">13.7</oasis:entry>

         <oasis:entry colname="col4">14.0</oasis:entry>

         <oasis:entry colname="col5">13.6</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.3</oasis:entry>

         <oasis:entry colname="col8">2.9</oasis:entry>

         <oasis:entry colname="col9">2.7</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">11.4</oasis:entry>

         <oasis:entry colname="col4">13.9</oasis:entry>

         <oasis:entry colname="col5">13.3</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.0</oasis:entry>

         <oasis:entry colname="col8">3.3</oasis:entry>

         <oasis:entry colname="col9">3.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">8.9</oasis:entry>

         <oasis:entry colname="col4">7.5</oasis:entry>

         <oasis:entry colname="col5">7.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">4.0</oasis:entry>

         <oasis:entry colname="col8">4.3</oasis:entry>

         <oasis:entry colname="col9">4.2</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">17.0</oasis:entry>

         <oasis:entry colname="col4">16.4</oasis:entry>

         <oasis:entry colname="col5">15.9</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">1.4</oasis:entry>

         <oasis:entry colname="col8">1.4</oasis:entry>

         <oasis:entry colname="col9">1.5</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry colname="col1" morerows="4">Autumn</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">1.0</oasis:entry>

         <oasis:entry colname="col4">0.4</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">1.4</oasis:entry>

         <oasis:entry colname="col8">1.4</oasis:entry>

         <oasis:entry colname="col9">1.4</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">11.2</oasis:entry>

         <oasis:entry colname="col4">11.8</oasis:entry>

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

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.8</oasis:entry>

         <oasis:entry colname="col8">3.9</oasis:entry>

         <oasis:entry colname="col9">3.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">11.7</oasis:entry>

         <oasis:entry colname="col4">13.4</oasis:entry>

         <oasis:entry colname="col5">11.9</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">2.8</oasis:entry>

         <oasis:entry colname="col8">3.8</oasis:entry>

         <oasis:entry colname="col9">3.5</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">4.5</oasis:entry>

         <oasis:entry colname="col4">4.5</oasis:entry>

         <oasis:entry colname="col5">3.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">4.2</oasis:entry>

         <oasis:entry colname="col8">4.3</oasis:entry>

         <oasis:entry colname="col9">4.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">6.4</oasis:entry>

         <oasis:entry colname="col4">7.3</oasis:entry>

         <oasis:entry colname="col5">7.0</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">3.0</oasis:entry>

         <oasis:entry colname="col8">2.7</oasis:entry>

         <oasis:entry colname="col9">2.5</oasis:entry>

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

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Comparison between uncorrected (black) and DBS-adjusted daily
precipitation (single gamma in green and double gamma in pink) during control
period 1961–2000 in Nilakka. Red line corresponds to the observations.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f08.png"/>

        </fig>

      <p>After applying the DBS method, biases in seasonally calculated daily mean
temperatures in uncorrected RCM data are significantly reduced (Figs. 4, 5),
from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.7–5.3 to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2–0.5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Also the standard deviation of
the DBS-adjusted values is closer to observed values than that of uncorrected
RCM data (not shown). DBS scaling preserves the RCM temperature variability
in CDFs. The strong temperature increase around 0 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C found in the
uncorrected RCM data is reduced after DBS scaling but can still be found from
the CDFs (Fig. 5), although shifted towards observed values and higher
temperatures. Daily temperatures adjusted with wet–dry separation produce
more frequently higher winter maxima (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and lower minima
(<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) than adjustment without the separation (Fig. 7).
These extrema are originated from the separation of days to dry and wet which
especially affects the CDF of dry days due to the small number of days
(approx. 7–16 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">days</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) available. Otherwise there are no
distinct differences between the two DBS approaches (Figs. 4, 5, 7), both
give distributions that are similar to the observations. Due to the cases
where daily winter maxima were excessively too high (e.g. <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in January) in DBS with wet–dry state separated data, we decided to use the
DBS method without separation in further analysis of hydrological
simulations.</p>
      <p>Both single and double gamma DBS approaches for precipitation are able to
reduce biases in seasonal precipitation accumulation from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22–81 to
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.0–1.7 % (Figs. 4, 6; Table 2) in all catchments. Distribution of
drizzle and torrential precipitation is shifted towards observations and the
number of dry days is forced to match observed values (Fig. 6).</p>
      <p>There are no considerable differences in monthly mean accumulated
precipitation between single and double gamma DBS. The largest differences
are found in the treatment of heavy (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95th percentile of CDF)
precipitation (Figs. 6, 8). Considering daily mean precipitation amounts in
the heavy precipitation distribution, DBS with double gamma overestimates
daily mean heavy precipitation amounts in July by 0.2–6.5 % and DBS with
single gamma by 12.0–21.7 % in Loimijoki and in Ounasjoki by <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3–1.3
and by 3.4–14.8 %, respectively, compared to observed values. Due to a
longer tail in the single gamma distribution in the heavy precipitation end
of the distribution, the high values are in many cases larger and more
frequent with single gamma than with double gamma DBS. In some cases the
single gamma DBS approach even increases heavy precipitation values compared
to observed values. Nevertheless, single gamma distribution was slightly
better than double gamma, e.g., in winter and spring in northern Finland
(root mean square error (RMSE) 2.78–3.10 in single gamma and 3.07–3.10 in
double gamma in January in Ounasjoki). Still, in most cases the double gamma
distribution produces heavy precipitation values closer to observed values
than single gamma.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>RCM temperature and precipitation in the future</title>
      <p>Finland is expected to experience a warmer and wetter climate towards the end
of this century. Future changes in seasonal precipitation and mean
temperature in Loimijoki catchment are shown in Table 3. After DBS
adjustment, seasonal temperature increase varies from 1.4 to 5.1 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in Loimijoki and from 1.3 to 6.6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in Ounasjoki in the latter part
of this century, being the largest in winter. As for the control period, the
DBS approach with wet–dry day separation produces higher temperature maxima
for the scenario period compared to DBS approach without separation. Thus, it
also produces higher seasonal mean values than DBS scaling without wet–dry
separation. No distinct differences between the single and double gamma DBS
approaches can be found for monthly and seasonal mean precipitation sums.
Again, the greatest differences can be found from torrential precipitation,
which are more frequent and intense in single gamma than in double gamma
DBS-adjusted values. Future changes in seasonal precipitation sums vary more
than temperature depending on RCM as well as season and area of
investigation, and can even decrease by the end of this century. After DBS
adjustment the change in seasonal precipitation sums varies from
1.7–39 % in Nilakka to <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5–37.7 % in Loimijoki by the end of
this century, being largest in winter.</p>
      <p>The DBS method preserves the temperature trend of the uncorrected RCM data
during 1961–2100 relatively well (Table 4; Fig. 9). The projected
temperature trends in uncorrected RCM data vary between 0.3 and
0.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the used scenarios. The
differences between uncorrected RCM
and DBS-adjusted seasonal trends are
mainly less than <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Table 4). The
largest differences between temperature trends in uncorrected and
DBS-adjusted data can be seen in the scenarios of REMO and RCA, which produce
more than 0.1 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> larger temperature rise after
DBS (Fig. 9). This is probably due to a too narrow temperature distribution
(low standard deviation) in the control period compared to observed values
(not shown). In the scenario period the standard deviation decreases even
further, with increasing daily temperatures, causing more pronounced warming
after DBS adjustment. Other climate models in this study do not produce any
prominent decrease in standard deviation during the scenario period and thus
the trends are better preserved.</p>
      <p>Also trends in precipitation are preserved sufficiently well among RCMs after
DBS adjustment and no distinct differences between RCMs or the two DBS
methods can be found. In Loimijoki and Ounasjoki catchments most of the
uncorrected scenarios show positive precipitation trends from 1.1 to
4.2 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Table 4). Only HIRHAM-A in Loimijoki and REMO in
Ounasjoki do not show significant trends. The differences between RCM and
adjusted seasonal trends are mainly from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6 to
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.3 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Table 4). The largest differences between
trends of uncorrected and DBS-adjusted RCM data can be seen in seasonal
precipitation simulated by HadRM in Ounasjoki (from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9 to
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.6 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Fig. 10). The trend simulated by HIRHAM-B is
largest in spring in all catchments, which causes the large increase in
precipitation accumulation (Table 3). Even though the trends are largest in
winter or spring, the summer and autumn remain the wettest seasons of the
year.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Seasonal trends in observed (red, 1961–2000) and RCM simulated
daily temperatures in Lentua basin during 1961–2090. Uncorrected RCM daily
temperatures in black, temperatures adjusted with wet–dry separation in blue
and without wet–dry separation in green.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Impact of bias correction on simulated hydrology</title>
      <p>The discharges simulated with uncorrected RCM values (Fig. 11) show large
differences compared to the observed discharges and discharges simulated with
observed meteorological input values in the control period (hereinafter
referred to as “control simulation”). The differences in simulated mean
discharges in the control simulation and using RCM data with and without DBS
adjustment for Loimijoki and Ounasjoki test sites are shown in Table 3. In
the four test sites the annual mean discharges simulated with uncorrected RCM
inputs were 16–104 % larger than annual mean discharges of the control
simulation. The higher annual mean discharges are mainly caused by
overestimation of precipitation in RCMs.</p>
      <p>The seasonal differences are more pronouncedly affected by temperature biases
in the RCM data. The HadRM and HIRHAM-B have negative temperature biases
during winter, which cause smaller winter discharges in southern and central
Finland. The negative temperature biases in spring (HIRHAM-B) cause a delay
in the spring flood peak (Fig. 11). This delay causes negative biases to mean
spring discharges in northern Finland even though the snowmelt floods are
larger due to greater snow accumulation caused by positive precipitation and
negative temperature biases. Summer mean discharges become larger with all
uncorrected RCM outputs due to positive precipitation biases and larger
recession flows caused by greater and delayed spring floods.</p>
      <p>Using single gamma or double gamma precipitation corrections and temperature
corrections without wet–dry separation, the biases in simulated mean
discharges can be effectively reduced (Table 5). The differences in annual
mean discharges decreased to less than 12 % in all test sites with
DBS-adjusted RCM outputs. The difference is at the same level as the
difference between control simulation discharges and observed discharges
(less than 13 %), which indicates that biases in annual mean discharges
are partly explained by the model sensitivity on input variables and partly
by the residual biases in corrected RCM outputs.</p>
      <p>The differences in seasonal mean discharges between simulations with
DBS-adjusted RCM data and control simulation are in many cases larger than
differences between observed discharges and discharges in the control
simulation. Differences larger than 30 % are only found in winter and
summer, when the discharges are low. But the remaining biases larger than
20 % during high flow season in Loimijoki found in REMO and RCA and
larger than 50 % during the low flow season in HadRM and HIRHAM-B may
have significant effect on the seasonal changes and changes in extreme
discharges in climate change projections. The main reason for large and in
some cases even larger remaining biases in winter discharges than in
uncorrected data is the sensitivity of the hydrological model on near-zero
temperatures. Even though the DBS method corrects the mean temperatures
efficiently close to observations, the remaining biases in winter temperature
extremes, which in control period are slightly above zero, cause remarkable
biases in winter discharges and snow accumulation in the hydrological
simulation. However, the seasonal variations in mean discharges after the DBS
adjustment are remarkably closer to variations of control simulation
(Fig. 11), highlighting the fact that the bias correction is required for RCM
data used in studies of climate change effects on hydrology.</p>
      <p>In addition to biases in RCM temperature and precipitation data, the
biases in wind speed (WS) and specific humidity (SH) also affect the WSFS
discharge simulations for catchments with high lake percentages. Biases in WS
and SH of RCMs affect the lake evaporation in the hydrological model and
typically cause a 5–45 % bias in the annual lake evaporation sums. In
most of the study catchments the bias is largest in the RCA scenario giving
25–35 % negative bias caused by positive bias of SH and negative bias of
WS. The bias in lake evaporation can be effectively decreased to 0–13 %
by the simple mean bias correction method (Fig. 12).</p>
      <p>The uncorrected WS and SH of RCMs cause a 0–11 % bias in annual mean
discharges, and a 0–20 % bias in autumn mean discharges in the outlet of
Nilakka, which has the highest lake percentage of the study catchments
(18 %). In the catchments of Loimijoki and Lentua the biases in mean
discharges (0–2 and 0–4 %) and autumn discharges (0–7 and 0–8 %)
are smaller, and in the most northern located catchment of Ounasjoki the bias
is insignificant.</p>
      <p>The effect of different correction methods on annual and seasonal discharges
as well as on the changes in discharges by the 2051–2090 period are shown in
Fig. 13. The deviations of the simulated discharges with RCM data compared to
control simulations in four test sites using all five scenarios without
corrections, only with temperature corrections, precipitation corrections and
with both temperature and precipitation corrections are shown in the upper
part of the box plot. The lower figure shows the results of the climate change impacts
on mean discharges with different corrections. The results show that the
effect of precipitation correction affects more the annual discharges and the
temperature correction affects more the seasonal discharges. However, without
temperature correction the annual discharges still have positive biases due
to cold biases, which decrease evapotranspiration. All four combinations of
DBS temperature and precipitation correction methods used in this study
produce similar results and none of the different DBS approaches are found to
be superior with respect to mean discharges. Thus, the selection of the best
methods is based on the performance of the correction method in decreasing
the extreme temperature and precipitation biases, in which the temperature
correction without wet–dry separation and double gamma for precipitation
work significantly better.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Trends in seasonal precipitation sum (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and
temperature (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in uncorrected and DBS-adjusted
RCM simulations. Values are shown for spring in Loimijoki and Ounasjoki to
demonstrate the spatial variation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry rowsep="1" namest="col1" nameend="col3" align="center">Precipitation (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">Temperature (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">decade</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Spring</oasis:entry>  
         <oasis:entry colname="col2">Loimijoki</oasis:entry>  
         <oasis:entry colname="col3">Ounasjoki</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Spring</oasis:entry>  
         <oasis:entry colname="col6">Loimijoki</oasis:entry>  
         <oasis:entry colname="col7">Ounasjoki</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">HIRHAM-A</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>  
         <oasis:entry colname="col3">1.1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">HIRHAM-A</oasis:entry>  
         <oasis:entry colname="col6">0.3</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 gamma</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col3">1.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">w–d Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.3</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 gamma</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col3">1.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.3</oasis:entry>  
         <oasis:entry colname="col7">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">REMO</oasis:entry>  
         <oasis:entry colname="col2">1.4</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">REMO</oasis:entry>  
         <oasis:entry colname="col6">0.3</oasis:entry>  
         <oasis:entry colname="col7">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 gamma</oasis:entry>  
         <oasis:entry colname="col2">1.6</oasis:entry>  
         <oasis:entry colname="col3">0.1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">w–d Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 gamma</oasis:entry>  
         <oasis:entry colname="col2">1.4</oasis:entry>  
         <oasis:entry colname="col3">0.1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RCA</oasis:entry>  
         <oasis:entry colname="col2">2.3</oasis:entry>  
         <oasis:entry colname="col3">1.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">RCA</oasis:entry>  
         <oasis:entry colname="col6">0.3</oasis:entry>  
         <oasis:entry colname="col7">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 gamma</oasis:entry>  
         <oasis:entry colname="col2">1.8</oasis:entry>  
         <oasis:entry colname="col3">1.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">w–d Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 gamma</oasis:entry>  
         <oasis:entry colname="col2">1.9</oasis:entry>  
         <oasis:entry colname="col3">1.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HadRM</oasis:entry>  
         <oasis:entry colname="col2">1.1</oasis:entry>  
         <oasis:entry colname="col3">4.9</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">HadRM</oasis:entry>  
         <oasis:entry colname="col6">0.5</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 gamma</oasis:entry>  
         <oasis:entry colname="col2">0.8</oasis:entry>  
         <oasis:entry colname="col3">3.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">w–d Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.5</oasis:entry>  
         <oasis:entry colname="col7">0.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 gamma</oasis:entry>  
         <oasis:entry colname="col2">0.7</oasis:entry>  
         <oasis:entry colname="col3">3.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.5</oasis:entry>  
         <oasis:entry colname="col7">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HIRHAM-B</oasis:entry>  
         <oasis:entry colname="col2">4.2</oasis:entry>  
         <oasis:entry colname="col3">3.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">HIRHAM-B</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 gamma</oasis:entry>  
         <oasis:entry colname="col2">4.7</oasis:entry>  
         <oasis:entry colname="col3">3.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">w–d Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2 gamma</oasis:entry>  
         <oasis:entry colname="col2">4.4</oasis:entry>  
         <oasis:entry colname="col3">3.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Gaussian</oasis:entry>  
         <oasis:entry colname="col6">0.4</oasis:entry>  
         <oasis:entry colname="col7">0.4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Because of the biases in uncorrected RCM data, the mean discharge peaks
caused by snowmelt (Fig. 11) are significantly larger than the control
simulation discharge peaks, and the seasonal variation of discharges is also
altered. Without effective bias correction the results of climate change
impact studies could easily lead to false conclusions. The effect of DBS
adjustment on changes in seasonal mean discharges is more pronounced than on
annual discharges, because the temperature biases of uncorrected data have
significant influence on seasonal discharges. The changes in mean winter and
spring discharges may be 2 or even 3 times larger than without
temperature correction (Fig. 13). If only temperature bias is corrected,
the relative changes are close to the changes in temperature and
precipitation corrected data, but the absolute changes are much larger due
to wet bias in RCM data.</p>
      <p>The temperature correction is essential especially when the high and low
flows are studied. The difference between the changes in mean high discharges
(MHQ) and mean low discharges (MNQ) by using uncorrected RCM data can be even
to the other direction when the uncorrected RCM data are used compared to
changes in the DBS-adjusted data. This can also be seen in summer mean
discharges with HIRHAM-B scenario. The uncorrected scenario shows 35 %
decrease in summer discharges in Loimijoki due to large recession flow after
spring flood in the control period, which caused over 300 % wet bias in
mean summer discharges (Tables 5, 6). The DBS-adjusted data of HIRHAM-B show
a slight increase in summer discharges because a large precipitation increase
compensates the increased evapotranspiration in this scenario.</p>
      <p>The ability of the DBS method to preserve the precipitation and temperature
trends (Figs. 9, 10) in most cases leads to similar changes in simulated
annual mean discharges with uncorrected and DBS-adjusted RCM data (Fig. 13
and Table 6). In the HadRM-scenario, the DBS-adjusted data produce a lower
increase than the uncorrected scenario in northern Finland, due to a smaller
increase in precipitation trends after DBS adjustment. In northern Finland
the differences between the results from simulations with uncorrected and
DBS-adjusted data are clearest in spring, when the absolute biases in mean
discharges in the control period are highest. The uncorrected HIRHAM-A and
HIRHAM-B produce negative bias in mean spring discharges in the control
period due to delayed spring floods. Thus, without bias corrections these
scenarios produce too high increases in mean spring discharges.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Seasonal trends in observed (red, 1961–2000) and RCM simulated
seasonal precipitation accumulation in Ounasjoki catchment during 1961–2090.
Uncorrected RCM precipitation in black, precipitation adjusted with single
gamma in blue and with double gamma in green.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Hydrographs of simulated daily mean discharges in 1961–2000 with
uncorrected RCM outputs (dashed lines) and corrected temperatures (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>
Gaussian) and precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> double gamma) (solid lines) compared to
control simulation discharges (blue line).</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Model mean lake evaporation sums and simulated daily mean discharges
of Lake Nilakka and Lake Lentua with RCA uncorrected WS and SH (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is
Gaussian, <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is 2gamma) in red, with corrected WS and SH (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is Gaussian,
<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is double gamma) in green and control simulation in blue.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f12.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>The minimum, maximum, 1st and 3rd quartile and median deviations of
the simulated mean discharges with RCM data compared to control simulations
(above) and climate change impacts (below) in four test sites using all five
scenarios without corrections (unc), only with temperature correction (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>
w–d is wet–dry separation and <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> cor is without separation) or
precipitation corrections (1-G is single gamma and 2-G is double gamma)
and with both temperature and precipitation corrections.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f13.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Deviation of simulated annual and seasonal mean discharges (MQ)
between observed, uncorrected and DBS-adjusted temperature (Gaussian) and
precipitation (1 or 2 gamma) as input for hydrological simulations during
control period 1961–2000 in %. Values are shown for Loimijoki in
southern Finland and Ounasjoki in northern Finland to demonstrate the spatial
variation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

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

         <oasis:entry rowsep="1" colname="col4">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">2 Gamma</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry rowsep="1" colname="col7">Uncorrected</oasis:entry>

         <oasis:entry rowsep="1" colname="col8">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col9">2 Gamma</oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry namest="col3" nameend="col5" align="center">Loimijoki </oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry namest="col7" nameend="col9" align="center">Ounasjoki </oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Year</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">85.7</oasis:entry>

         <oasis:entry colname="col4">9.5</oasis:entry>

         <oasis:entry colname="col5">10.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">104.2</oasis:entry>

         <oasis:entry colname="col8">3.3</oasis:entry>

         <oasis:entry colname="col9">3.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">58.0</oasis:entry>

         <oasis:entry colname="col4">12.3</oasis:entry>

         <oasis:entry colname="col5">11.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">78.6</oasis:entry>

         <oasis:entry colname="col8">5.7</oasis:entry>

         <oasis:entry colname="col9">5.1</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">89.0</oasis:entry>

         <oasis:entry colname="col4">12.7</oasis:entry>

         <oasis:entry colname="col5">11.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">48.5</oasis:entry>

         <oasis:entry colname="col8">4.9</oasis:entry>

         <oasis:entry colname="col9">4.4</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">35.3</oasis:entry>

         <oasis:entry colname="col4">9.4</oasis:entry>

         <oasis:entry colname="col5">9.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">48.9</oasis:entry>

         <oasis:entry colname="col8">1.9</oasis:entry>

         <oasis:entry colname="col9">2.8</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">63.3</oasis:entry>

         <oasis:entry colname="col4">10.0</oasis:entry>

         <oasis:entry colname="col5">9.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">56.6</oasis:entry>

         <oasis:entry colname="col8">2.9</oasis:entry>

         <oasis:entry colname="col9">3.1</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Winter</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">86.7</oasis:entry>

         <oasis:entry colname="col4">22.9</oasis:entry>

         <oasis:entry colname="col5">22.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">85.7</oasis:entry>

         <oasis:entry colname="col8">12.5</oasis:entry>

         <oasis:entry colname="col9">12.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">16.4</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.4</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">73.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.9</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.3</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">33.5</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.1</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.3</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">67.5</oasis:entry>

         <oasis:entry colname="col8">3.8</oasis:entry>

         <oasis:entry colname="col9">3.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43.3</oasis:entry>

         <oasis:entry colname="col4">60.3</oasis:entry>

         <oasis:entry colname="col5">61.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">18.8</oasis:entry>

         <oasis:entry colname="col8">34.2</oasis:entry>

         <oasis:entry colname="col9">35.5</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>46.1</oasis:entry>

         <oasis:entry colname="col4">79.1</oasis:entry>

         <oasis:entry colname="col5">79.0</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">19.1</oasis:entry>

         <oasis:entry colname="col8">46.7</oasis:entry>

         <oasis:entry colname="col9">46.7</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Spring</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">92.9</oasis:entry>

         <oasis:entry colname="col4">10.0</oasis:entry>

         <oasis:entry colname="col5">10.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">57.0</oasis:entry>

         <oasis:entry colname="col4">27.6</oasis:entry>

         <oasis:entry colname="col5">26.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">39.0</oasis:entry>

         <oasis:entry colname="col8">1.2</oasis:entry>

         <oasis:entry colname="col9">0.9</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">54.6</oasis:entry>

         <oasis:entry colname="col4">23.8</oasis:entry>

         <oasis:entry colname="col5">23.4</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">43.9</oasis:entry>

         <oasis:entry colname="col8">8.7</oasis:entry>

         <oasis:entry colname="col9">8.5</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">67.7</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">12.2</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">64.1</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.6</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>76.4</oasis:entry>

         <oasis:entry colname="col8">3.4</oasis:entry>

         <oasis:entry colname="col9">3.6</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Summer</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">142.8</oasis:entry>

         <oasis:entry colname="col4">7.2</oasis:entry>

         <oasis:entry colname="col5">8.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">231.8</oasis:entry>

         <oasis:entry colname="col8">3.0</oasis:entry>

         <oasis:entry colname="col9">2.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">161.4</oasis:entry>

         <oasis:entry colname="col4">38.6</oasis:entry>

         <oasis:entry colname="col5">35.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">108.3</oasis:entry>

         <oasis:entry colname="col8">20.1</oasis:entry>

         <oasis:entry colname="col9">19.0</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">238.0</oasis:entry>

         <oasis:entry colname="col4">28.6</oasis:entry>

         <oasis:entry colname="col5">22.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">21.6</oasis:entry>

         <oasis:entry colname="col8">0.7</oasis:entry>

         <oasis:entry colname="col9">0.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">140.5</oasis:entry>

         <oasis:entry colname="col4">4.9</oasis:entry>

         <oasis:entry colname="col5">3.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">97.0</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.7</oasis:entry>

         <oasis:entry colname="col9">0.3</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">308.2</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">220.7</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.0</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry colname="col1" morerows="4">Autumn</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">44.3</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7</oasis:entry>

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

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">117.9</oasis:entry>

         <oasis:entry colname="col8">6.7</oasis:entry>

         <oasis:entry colname="col9">6.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">51.4</oasis:entry>

         <oasis:entry colname="col4">1.1</oasis:entry>

         <oasis:entry colname="col5">1.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">99.7</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.1</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.7</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">143.0</oasis:entry>

         <oasis:entry colname="col4">5.7</oasis:entry>

         <oasis:entry colname="col5">3.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">92.2</oasis:entry>

         <oasis:entry colname="col8">5.96.0</oasis:entry>

         <oasis:entry colname="col9">4.7</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3</oasis:entry>

         <oasis:entry colname="col4">7.3</oasis:entry>

         <oasis:entry colname="col5">8.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">46.6</oasis:entry>

         <oasis:entry colname="col8">0.0</oasis:entry>

         <oasis:entry colname="col9">1.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">57.7</oasis:entry>

         <oasis:entry colname="col4">11.5</oasis:entry>

         <oasis:entry colname="col5">11.0</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">32.6</oasis:entry>

         <oasis:entry colname="col8">10.8</oasis:entry>

         <oasis:entry colname="col9">11.2</oasis:entry>

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

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p>Relative changes (%) in simulated annual and seasonal mean
discharges (MQ) in Loimijoki and Ounasjoki between control period
1961–2000 and future period 2051–2090 using uncorrected and DBS-adjusted temperature (Gaussian) and precipitation (1 or 2 gamma).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

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

         <oasis:entry rowsep="1" colname="col4">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col5">2 Gamma</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry rowsep="1" colname="col7">Uncorrected</oasis:entry>

         <oasis:entry rowsep="1" colname="col8">1 Gamma</oasis:entry>

         <oasis:entry rowsep="1" colname="col9">2 Gamma</oasis:entry>

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

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry namest="col3" nameend="col5" align="center">Loimijoki </oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry namest="col7" nameend="col9" align="center">Ounasjoki </oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Year</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.8</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.9</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">9.1</oasis:entry>

         <oasis:entry colname="col8">9.1</oasis:entry>

         <oasis:entry colname="col9">9.0</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">7.4</oasis:entry>

         <oasis:entry colname="col4">10.5</oasis:entry>

         <oasis:entry colname="col5">6.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.5</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.3</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">10.1</oasis:entry>

         <oasis:entry colname="col4">9.8</oasis:entry>

         <oasis:entry colname="col5">8.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">8.6</oasis:entry>

         <oasis:entry colname="col8">3.4</oasis:entry>

         <oasis:entry colname="col9">3.4</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.8</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.8</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.6</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">15.3</oasis:entry>

         <oasis:entry colname="col8">5.0</oasis:entry>

         <oasis:entry colname="col9">6.1</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">16.0</oasis:entry>

         <oasis:entry colname="col4">25.6</oasis:entry>

         <oasis:entry colname="col5">24.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">17.7</oasis:entry>

         <oasis:entry colname="col8">18.7</oasis:entry>

         <oasis:entry colname="col9">18.0</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Winter</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3">69.8</oasis:entry>

         <oasis:entry colname="col4">65.2</oasis:entry>

         <oasis:entry colname="col5">63.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">71.1</oasis:entry>

         <oasis:entry colname="col8">90.3</oasis:entry>

         <oasis:entry colname="col9">89.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">104.2</oasis:entry>

         <oasis:entry colname="col4">151.5</oasis:entry>

         <oasis:entry colname="col5">141.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">68.6</oasis:entry>

         <oasis:entry colname="col8">40.9</oasis:entry>

         <oasis:entry colname="col9">40.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">107.6</oasis:entry>

         <oasis:entry colname="col4">143.2</oasis:entry>

         <oasis:entry colname="col5">140.0</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">73.8</oasis:entry>

         <oasis:entry colname="col8">76.4</oasis:entry>

         <oasis:entry colname="col9">76.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">204.5</oasis:entry>

         <oasis:entry colname="col4">37.7</oasis:entry>

         <oasis:entry colname="col5">36.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">76.1</oasis:entry>

         <oasis:entry colname="col8">128.9</oasis:entry>

         <oasis:entry colname="col9">131.8</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">148.0</oasis:entry>

         <oasis:entry colname="col4">50.7</oasis:entry>

         <oasis:entry colname="col5">51.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">44.9</oasis:entry>

         <oasis:entry colname="col8">74.9</oasis:entry>

         <oasis:entry colname="col9">68.4</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Spring</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.6</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.2</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.3</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">134.3</oasis:entry>

         <oasis:entry colname="col8">26.0</oasis:entry>

         <oasis:entry colname="col9">26.0</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.6</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.9</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.4</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">24.2</oasis:entry>

         <oasis:entry colname="col8">20.2</oasis:entry>

         <oasis:entry colname="col9">19.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.9</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.8</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1</oasis:entry>

         <oasis:entry colname="col8">11.5</oasis:entry>

         <oasis:entry colname="col9">12.0</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.3</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.6</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29.4</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">72.3</oasis:entry>

         <oasis:entry colname="col8">4.2</oasis:entry>

         <oasis:entry colname="col9">5.2</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">21.2</oasis:entry>

         <oasis:entry colname="col4">17.5</oasis:entry>

         <oasis:entry colname="col5">14.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">206.3</oasis:entry>

         <oasis:entry colname="col8">16.5</oasis:entry>

         <oasis:entry colname="col9">18.1</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="4">Summer</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.7</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.9</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39.1</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39.7</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.0</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.7</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.6</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43.9</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.8</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.9</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.4</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35.8</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.3</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41.3</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>41.2</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.4</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.4</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.5</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.7</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.3</oasis:entry>

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

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.5</oasis:entry>

         <oasis:entry colname="col4">2.2</oasis:entry>

         <oasis:entry colname="col5">1.3</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.1</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.7</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.7</oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry colname="col1" morerows="4">Autumn</oasis:entry>

         <oasis:entry colname="col2">HIRHAM-A</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.6</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.2</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">28.3</oasis:entry>

         <oasis:entry colname="col8">21.9</oasis:entry>

         <oasis:entry colname="col9">21.5</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">13.0</oasis:entry>

         <oasis:entry colname="col4">18.0</oasis:entry>

         <oasis:entry colname="col5">11.5</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">18.8</oasis:entry>

         <oasis:entry colname="col8">19.1</oasis:entry>

         <oasis:entry colname="col9">19.6</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">12.5</oasis:entry>

         <oasis:entry colname="col4">12.2</oasis:entry>

         <oasis:entry colname="col5">8.2</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">26.2</oasis:entry>

         <oasis:entry colname="col8">27.5</oasis:entry>

         <oasis:entry colname="col9">26.8</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.0</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.1</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.7</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">37.5</oasis:entry>

         <oasis:entry colname="col8">23.0</oasis:entry>

         <oasis:entry colname="col9">24.4</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">HIRHAM-B</oasis:entry>

         <oasis:entry colname="col3">23.1</oasis:entry>

         <oasis:entry colname="col4">9.5</oasis:entry>

         <oasis:entry colname="col5">9.1</oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">55.6</oasis:entry>

         <oasis:entry colname="col8">36.1</oasis:entry>

         <oasis:entry colname="col9">34.2</oasis:entry>

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

</sec>
<sec id="Ch1.S3.SS4">
  <title>Future scenarios for discharges</title>
      <p>The results show that climate change will have a significant impacts on
seasonality of discharges in Finland due to increasing precipitation and
shorter wintertime, which influence snow accumulation and increase
evapotranspiration (Fig. 14). The springtime snowmelt floods will occur
earlier and the average wintertime discharges will increase because the
temperature will rise more often above zero in winter increasing rainfall and
causing occasional snowmelt. The summer discharges will decrease due to
earlier snowmelt and increased evapotranspiration, while the changes in
autumn depend on the climate scenario, location and hydrological
characteristics such as lake percentage of the study catchments. The DBS
method influences significantly the projected changes of the seasonal
discharges and in some cases even the annual discharges of the scenarios with
large temperature biases.</p>
      <p>The changes in annual mean discharges between the control and 2051–2090
periods in all study catchments are between <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 and 26 % (Table 6). For
the period 2051–2090 HIRHAM-B produces the largest increases in annual mean
discharges in all study catchments due to the largest increases in annual mean
precipitation. Most of the scenarios show an increase in annual discharges,
but especially for southern and central Finland some scenarios project
decrease because the longer and warmer summers will cause a larger increase in
evapotranspiration than the projected increase in precipitation.</p>
      <p>In the study catchments all DBS-adjusted scenarios predict on average
2–4 weeks earlier snowmelt discharge peaks in spring for the 2051–2090
period compared to the control period 1961–2000. Figure 14 shows the results
for three scenarios producing the largest variation of changes in mean discharges
out of five scenarios used in this study. Because the snowmelt discharge
peaks occur earlier, the recession flows in summer season decrease. The
summer discharges decrease 20–50 % in all scenarios except in Nilakka
and Loimijoki in the HIRHAM-B-scenario, which predicts a greater increase in
precipitation than the other scenarios. The decrease in mean summer
discharges is caused by the increase of the annual evapotranspiration by
10–40 % and lake evaporation by 10–80 %.</p>
      <p>In addition to earlier spring discharge peaks and a decrease in summer
discharges, all scenarios predict increase in winter discharges. The increase
is more pronounced in the catchments of Loimijoki and Ounasjoki
(40–150 %), which have lower lake percentage than Nilakka and Lentua, in
which the winter discharges increase 10–70 %, depending on the used
scenario.</p>
      <p>The results show an increase in autumn mean discharges in northern Finland,
where the autumn runoff peaks – typical in southern Finland at present –
become more frequent. In the catchments with large lake percentages in
southern and central Finland, the autumn mean discharges decrease in all
scenarios due to an increase in evapotranspiration and larger soil moisture
deficit in the beginning of autumn. In the southern catchments with low lake
percentages, the change in mean autumn discharges depends on the scenario.
Different autumn precipitation changes between the scenarios are the main
reason for different changes in autumn discharges, but also the soil moisture
content after summer has an influence and varies depending on temperature and
precipitation changes during summer.</p>
      <p>The relative changes in mean discharges, MHQ and MNQ together with changes in
mean maximum snow water equivalent (SWE), mean maximum soil moisture deficit
(SMD), mean evapotranspiration (ET) and mean runoff (<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) in four test sites
are shown in Fig. 15. The changes in annual high flows are mostly negative,
due to decreased maximum SWE and consequently decreasing spring snowmelt
floods. Only in the HIRHAM-B scenario the MHQ increase or remains the same in
most test sites due to large increase in precipitation. The annual low flows
decrease in southern Finland due to increased ET and maximum SMD, due to
decrease in low flows in summer season. In northern Finland the annual MNQ
increase, because the annual low flows normally occur in winter in the
control period.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><caption><p>Hydrographs of simulated daily mean discharges with DBS-adjusted
temperatures (<inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> Gaussian without separation) and precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> double
gamma) of RCMs in 1961–2000 (solid lines) and in 2051–2090 (dashed lines)
compared to control simulation discharges (blue line).</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f14.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><caption><p>The minimum, maximum, 1st and 3rd quartile and median changes by
2051–2090 period in mean discharges (MQ), mean high discharges (MHQ), mean
low discharges (MNQ), mean maximum snow water equivalent (maxSWE), mean
maximum soil moisture deficit (maxSMD), mean annual evapotranspiration (ET)
and runoff (<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) in four test catchments and five scenarios with Gaussian and
double gamma-adjusted RCM data.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/19/3217/2015/hess-19-3217-2015-f15.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p>All five climate scenarios used in this study contain systematic biases, and
hydrological simulations with the uncorrected RCM data for the four study
catchments therefore differ significantly from observations. Bias correction
is necessary since RCM biases not only affect the absolute discharges, but
also can influence the relative changes (Leander et al., 2008). As shown in
the previous section the projected seasonal changes of the mean discharges
in Finland are especially sensitive to RCM biases, because both the
temperature and precipitation biases significantly influence the mean
discharges.</p>
      <p>Several studies comparing different bias correction methods have concluded
that generally it is not possible to establish one single method, which would
outperform others in all circumstances, but some methods outperform other
methods more frequently (Teutschbein and Seibert, 2012; Räisänen and
Räty, 2013). Teutschbein and Seibert (2012) validated five different bias
correction methods with 11 RCMs and found DBS to perform best for temperature
and precipitation. Räisänen and Räty (2013) found a combination of
two quantile–quantile mapping (QM) methods to outperform each individual
method when adjusting daily temperature from six RCMs. The disadvantage of
the QM method is the need to extrapolate data in both ends of the QM function
(e.g. Veijalainen et al., 2012; Räisänen and Räty, 2013). With
DBS used in this study no extrapolation is needed because continuous
distribution functions are used to adjust temperature and precipitation, and
DBS is thus considered to be more sophisticated method.</p>
      <p>Although bias correction methods usually improve the RCM simulations
substantially, other uncertainties still remain, especially for future
simulations. Biases in RCMs, changing trends due to different correction
procedures, and non-stationarity of climate conditions have been
investigated, e.g., by Teutschbein and Seibert (2013), Maraun (2012) and
Maraun (2013). One disadvantage of bias correction is that the physical
cause of precipitation and temperature bias is not taken into account. For
instance a few degrees bias in temperature in winter affects the form of
precipitation and snowmelt, which have significant impact on snow
accumulation in hydrological models. A recent study by Räisänen et
al. (2014) found that during the snowmelt period in the ECHAM5 model, the air
temperature rarely rises above zero as long as there is snow on the ground,
leading to too low temperatures during the snowmelt period. This study
shows that even after the DBS adjustment the biases in the near-zero
temperatures remain. Especially with the RCA and REMO, which were driven by
boundary conditions from ECHAM5, these biases influence the magnitude of
winter and spring runoff and floods in the hydrological model simulations.
Maraun (2013) stated that bias correction can even deteriorate future
simulations and increase the future bias especially in areas where biased
responses of surface albedo, soil moisture or cloud cover affected RCM
simulations. According to Maraun (2013), biases are however relatively
stable and bias correction on average considerably improves climate
scenarios.</p>
      <p>Another source of uncertainties with bias correction methods is the
stationarity assumption of model biases, which means that the RCM biases do
not change in time and the same correction algorithm is assumed to be valid
also for future conditions. However, Teutschbein and Seibert (2013) found
DBS to perform relatively well even in changing climate conditions. They
separated the coldest and warmest years as well as driest and wettest years
to evaluate the performance of six different bias correction procedures
under systematically varying climate conditions. They found DBS performed
the best out of the studied bias correction methods under changing conditions and
questioned the use of simple bias correction methods such as delta change
and linear scaling. Without the possibility to validate future scenarios
against observed values the best policy, according to Teutschbein and
Seibert (2012), is to use an ensemble of RCMs with the best available bias
correction method.</p>
      <p>The current study shows that the effect of DBS adjustment on temperature and
precipitation trends is generally small. But with a large bias in
standard deviation of the uncorrected temperature data, the DBS may cause a
significant change in temperature trends, increasing the uncertainty for the
climate change projections. Also since the precipitation and temperature
corrections are not interdependent, in some cases the bias in the snow
accumulation remains considerably large, which leaves biases in spring
discharges during the control period and certainly affects the relative
changes in the future. Räisänen and Räty (2013) and Räty et
al. (2014) concluded that since no single BC method outperforms others in
all circumstances, the use of a few different but well-performing correction
methods will give a more realistic range of uncertainty. In the hydrological
studies the assessment of the performance should be based on the remaining
biases in discharges during the control period to avoid unnecessary large
uncertainty range and false conclusions about the impacts of climate change.</p>
      <p>The DBS adjustment used in this study principally follows the method
introduced by Yang et al. (2010). The method was tested using two versions of
both temperature and precipitation corrections. The results show that the
temperature correction in Finland works better without classification into
wet and dry days. The classification is not straightforward and depends on
season and area of investigation. A threshold value of observed
precipitation, used to classify days to dry and wet, varies from
0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Teutschbein and Seibert, 2012) to as high as
1 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Räty et al., 2014). In Finland RCMs produced too
few days with 0 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and thus a threshold value to cut-off
the spurious drizzle is needed. Nevertheless, a high threshold would cut too
many precipitation days from both observations and RCMs and thus influence
the precipitation and temperature distributions. On the other hand, when
using a low threshold, e.g., 0.1 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, only 20–30 % of
days in autumn and winter in Finland are considered to be dry. For
precipitation distribution the removal of drizzle days is important, but for
temperature it is questionable whether the simulated temperature for drizzle
days represents the temperature for dry days. Separation of days according to
wet–dry state reduces the number of days available for the temperature
distribution on wet–dry days, which can cause biases in CDFs especially in
the lower and upper tails of the distribution. Due to the tendency of wet–dry
separation to produce too low minima and too high maxima the DBS approach
without wet–dry separation produces better fit with observed values in most
cases in Finland.</p>
      <p>The DBS method with wet–dry separation roughly takes into account the
correlation between temperature and precipitation, but precipitation is still
adjusted without knowledge of temperature. It would not be rational to divide
precipitation events according to near surface temperature since it does not
determine the precipitation phase, but instead temperature at 850 hPa could
be used. Also separation according to weather types could take stratiform and
torrential precipitation events better into account. The problem with these
methods is the lack of comprehensive observational data and thus some
reanalysis or other climate models should be used as observational data in
the adjustment.</p>
      <p>Two distributions, single and double gamma, were used for precipitation
corrections. The double gamma distribution is expected to produce better fit
with observed precipitation, compared to single gamma, due to better
performance with torrential precipitation. However, depending on season and
area of investigation single gamma distribution fitted observed values and
RCM simulations better than double gamma distribution (e.g. RMSE 4.8–5.8 in
single gamma and 5.4–5.6 in double gamma in Loimijoki and 2.8–3.0 in single
gamma and 3.1 in double gamma in Ounasjoki in January). In these cases the
area of investigation had not experienced many torrential precipitation
events and a large part of the distribution consisted of drizzle days.
Although double gamma usually reproduces torrential precipitation events
better than single gamma, the cut-off value of 95 % does not always
produce the best results. At least for colder regions like Finland where
torrential precipitation events are relatively rare, the cut-off value could
be even higher (e.g. 98 %) to get better gamma fit also for the
torrential values. After applying the 95 % cut-off value, the torrential
5 % means roughly precipitation values higher than
10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, although by definition 20 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is
the threshold for torrential precipitation in Finland. In addition, the
highest 5 % of precipitation distribution does not in most cases produce
real gamma function and thus the gamma fit might not be valid. One problem
with double gamma distribution occurred near (below and above) the cut-off
value for heavy precipitation because it caused discontinuity in the
distribution and thus cumulated too much precipitation around this point. In
Finland this means an increase in near 10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> precipitation
amounts compared to observed values. Considering accumulated monthly mean
precipitation amounts below and above the 95 % cut-off value, we observed
that in most cases DBS with double gamma accumulated more precipitation below
the 95 % cut-off value and less above the 95 % cut-off value than
single gamma (e.g. from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3 to 7.8 % below the 95 % cut-off value
and from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.2 to 0.7 % above the 95 % cut-off value in March in
Loimijoki). Nevertheless, the monthly total accumulated precipitation is
better represented by DBS with double gamma distribution when compared to
observed values. For example DBS with double gamma gives 0.3–0.8 %
higher monthly mean precipitation accumulation than observations in March in
Loimijoki and DBS with single gamma 0.3–1.3 %.</p>
      <p>Precipitation varies considerably on spatial and temporal scales and thus to
use either single or double gamma distribution alone is a somewhat
rigid procedure. The importance of the torrential precipitation is more
pronounced in the impact studies of flash floods and floods in small river
catchments, which respond quickly to extreme precipitation. In the larger
watersheds, the high discharges usually correlate better with 5–15-day
extreme precipitation sums than torrential values due to the delay caused by
soil moisture deficit, river transport, lake storage and wetlands inside the
catchment. Thus, the tendency of double gamma correction to increase the near
10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> precipitation may deteriorate the DBS ability to
reproduce the observed extreme discharges compared to single gamma
distribution. A trade-off tool to see whether single or double gamma
distribution fits better could be developed, but problems would occur when
either observed or RCM simulated precipitation would not produce the same
selection of gamma distribution.</p>
      <p>Previously the most commonly used method to estimate climate change impacts
on hydrology was the delta change method (e.g. Andréasson et al., 2004;
Steele-Dunne et al., 2008; Veijalainen et al., 2010). Often a very simple
version of this method, where only the monthly mean changes of temperature
and precipitation from climate model simulations were used to modify the
observed temperature and precipitation records, was used (Hay et al., 2000).
Compared to delta change methods, the BC methods better preserve the
variability in temperature and precipitation produced by the RCMs (Lenderink
et al., 2007; Graham et al., 2007; Beldring et al., 2008; Yang et al., 2010).
Veijalainen (2012) showed that with delta change and with the QM method, the
changes in discharges for four catchments in Finland were similar for annual
means. However, larger differences were found in flood estimates and in
seasonal values. Especially during spring in northern Finland, the delta
change method produced earlier snowmelt than the bias corrected RCM data. The
changes in annual and seasonal discharges, as well as in timing of the spring
discharge peaks, with DBS-adjusted RCM data of this study are in good
agreement with results of the QM method used by Veijalainen et al. (2012). The
result supports the idea to use both methods in future studies to better
cover the uncertainty range caused by bias correction. On the other hand the
extrapolation of the data in the QM method may increase the uncertainty of the
climate projections.</p>
      <p>The uncertainties in estimation of climate change impacts on hydrology remain
large, since the process of estimation is complicated and each step contains
uncertainties. The results show large differences between the five climate
scenarios used in this study and climate scenarios have been shown to be a
major source of the uncertainties in the climate change assessments
(Steele-Dunne et al., 2008; Prudhomme and Davies, 2009). The hydrological
model and its sub-models also cause uncertainties in the results.
Hydrological model structure and parameter uncertainties are not considered,
but other studies indicate that these can be substantial, although not among
the largest sources of uncertainty (Steele-Dunne et al., 2008; Prudhomme and
Davies, 2009). Within the WSFS hydrological model, the snow model and
evapotranspiration model are the most important sub-models influencing the
results, and the evaluation of different versions of these sub-models would
be required for the proper estimation of the hydrological model and overall
estimation of the uncertainties.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p>The use of bias corrected RCM data as
input to impact models is becoming a common practice. The choice of bias
correction method significantly affects estimation of climate change impacts
on hydrology. The DBS algorithm has been shown to perform well under changing
conditions and outperform other methods in many cases (Teutschbein and
Seibert, 2012; Räty et al., 2014) and was therefore selected for this
study. Two different DBS methods for temperature (with and without dry/wet
day separation) and two for precipitation (single and double gamma
distribution) were compared. This paper focuses on mean values of
temperature, precipitation and discharges simulated with the hydrological model
of WSFS in four catchments. The DBS adjustment significantly improves RCM
data and simulated discharges compared to observations, but the magnitude of
the biases of the uncorrected RCM data still influence the success of the DBS
method.</p>
      <p>Both gamma distributions used in the DBS method for precipitation provide
reasonable results for Finland, where precipitation extremes are moderate in
all seasons. Double gamma distribution reproduces monthly precipitation
amounts and torrential values better than single gamma distribution, but the
cut-off value in 95th percentile is too low in some cases and it could be
better to determine specifically for northern climate conditions. For
temperature, the small fraction of dry days during some seasons affects the
DBS temperature adjustment with dry/wet separation, and thus for temperature
the method without dry/wet separation performs better. With most scenarios
the DBS method preserves temperature and precipitation trends projected by
uncorrected RCMs data sufficiently well. However, in cases when the simulated
seasonal cycle of precipitation in RCM is not correct, the DBS adjustment
changes the trend more than for cases with a correct seasonal cycle. Also, too
narrow standard deviation of uncorrected RCM data compared to observed
deviation leads to increased temperature trends after DBS adjustment with two
scenarios. The cold bias found in RCMs during snowmelt can be reduced by DBS
method, but the remaining biases are found to influence the timing of snowmelt and the magnitude of winter and spring discharges in hydrological
simulations.</p>
      <p>The projected changes in annual mean discharges by 2051–2090 are moderate,
but seasonal distribution of discharges will change significantly. The most
notable changes are increasing winter discharges, decreased and earlier
spring discharge peaks, and decreasing summer discharges due to longer and
warmer summer and increased evapotranspiration. The autumn discharges are
projected to increase in northern Finland and decrease in the catchments
with high lake percentage in southern Finland. The different RCMs produce a
wide range of variability on magnitude of the changes. Contrary to the other
scenarios used in this study, the HIRHAM-B scenario produces an increase in
summer discharges due to greater precipitation increase. Also the effect of
different scenarios on mean autumn discharge in the fast responding southern
catchments is scenario dependent.</p>
      <p>For relative changes in future discharges, the bias correction mainly affects
the seasonal results. The differences between changes in seasonal discharges
with corrected and uncorrected RCM data are significant especially in the
scenarios with large temperature biases. The correct seasonal changes are
important when any detailed analysis of adaptation strategies, for example in
lake regulation rules or flood risk analysis, are considered. Especially the
extremes – floods and droughts – are sensitive to both temperature and
precipitation biases and without bias correction even the results of
relative changes in floods can be misleading. The impact of the bias
correction on precipitation extremes and on simulated extreme discharges
will be examined in the next phase of this study and published in a separate
paper.</p>
      <p>Since the choice of the bias correction method influences the results and
the best method cannot usually be assessed, an ensemble of bias correction
methods to incorporate this uncertainty to the other sources of uncertainty
such as choice of emission scenario, climate or hydrological model could be
used in the future. However, the evaluation of sufficiently well-performing
bias correction methods is required to avoid unrealistic results in the
climate change impact assessments. The remaining biases in temperature and
precipitation data, independent adjustments for meteorological variables or
changing temperature and precipitation trends in some climate scenarios
after the DBS adjustment cause additional uncertainty in the hydrological
simulations and these should be considered when the results are interpreted.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>This study was carried out within the project Climate Change and Water Cycle:
Effect to Water Resources and their Utilization in Finland (ClimWater)
(no. 140930) financed by the Finnish Academy as part of the Research
Programme for climate change FICCA. The ENSEMBLES data used in this work were
funded by the EU FP6 Integrated Project ENSEMBLES (contract number 505539)
whose support is gratefully acknowledged. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: E. Morin</p></ack><ref-list>
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