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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">TC</journal-id>
<journal-title-group>
<journal-title>The Cryosphere</journal-title>
<abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1994-0424</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/tc-9-1567-2015</article-id><title-group><article-title>Melt pond fraction and spectral sea ice albedo retrieval from MERIS data – Part 2: Case studies and trends of sea ice albedo <?xmltex \hack{\newline}?> and melt ponds in the Arctic for years 2002–2011</article-title>
      </title-group><?xmltex \runningtitle{Melt pond fraction and spectral sea ice albedo retrieval from MERIS data -- Part~2}?><?xmltex \runningauthor{L.~Istomina et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Istomina</surname><given-names>L.</given-names></name>
          <email>lora@iup.physik.uni-bremen.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Heygster</surname><given-names>G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Huntemann</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Marks</surname><given-names>H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Melsheimer</surname><given-names>C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zege</surname><given-names>E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Malinka</surname><given-names>A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0651-5115</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Prikhach</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Katsev</surname><given-names>I.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Environmental Physics, University of Bremen, Bremen, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, Minsk, Belarus</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">L. Istomina (lora@iup.physik.uni-bremen.de)</corresp></author-notes><pub-date><day>12</day><month>August</month><year>2015</year></pub-date>
      
      <volume>9</volume>
      <issue>4</issue>
      <fpage>1567</fpage><lpage>1578</lpage>
      <history>
        <date date-type="received"><day>5</day><month>September</month><year>2014</year></date>
           <date date-type="rev-request"><day>15</day><month>October</month><year>2014</year></date>
           <date date-type="rev-recd"><day>11</day><month>July</month><year>2015</year></date>
           <date date-type="accepted"><day>27</day><month>July</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://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015.html">This article is available from https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015.html</self-uri>
<self-uri xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015.pdf</self-uri>


      <abstract>
    <p>The spatial and temporal dynamics of melt ponds and sea ice albedo contain
information on the current state and the trend of the climate of the Arctic
region. This publication presents a study on melt pond fraction (MPF) and
sea ice albedo spatial and temporal dynamics obtained with the Melt Pond
Detection (MPD) retrieval scheme for the Medium Resolution Imaging
Spectrometer (MERIS) satellite data. This study compares sea ice albedo and
MPF to surface air temperature reanalysis data, compares MPF retrieved from
the Moderate Resolution Imaging Spectroradiometer (MODIS), and examines
albedo and MPF trends. Weekly averages of MPF for 2007 and 2011 showed
different MPF dynamics while summer sea ice minimum was similar for both
years. The gridded MPF and albedo products compare well to independent
reanalysis temperature data and show melt onset when the temperature gets
above zero; however MPD shows an offset at low MPFs of about 10 % most
probably due to unscreened high clouds. Weekly averaged trends show
pronounced dynamics of both, MPF and albedo: a negative MPF trend in the
East Siberian Sea and a positive MPF trend around the Queen Elizabeth Islands.
The negative MPF trend appears due to a change of the absolute MPF value in
its peak, whereas the positive MPF trend is created by the earlier melt
onset, with the peak MPF values unchanged. The MPF dynamics in the East
Siberian Sea could indicate a temporal change of ice type prevailing in the
region, as opposed to the Queen Elizabeth Islands, where MPF dynamics react
to an earlier seasonal onset of melt.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>In the last few decades, the sea ice extent (defined as the total area with
at least 15 % of ice cover) and area of multiyear ice (MYI) has been
declining at even faster rate than that of the total perennial ice (Comiso,
2012). This tendency of the sea ice towards thinner and younger ice has a
strong impact on the energy balance of the system atmosphere–sea ice–ocean
(Perovich et al., 2011; Wang et al., 2014), where 96 % of the total annual
solar heat input through sea ice occurs during the melt season from May to
August (Arndt and Nicolaus, 2014). The above-mentioned effects are of
importance within the context of a changing Arctic due to the sensitivity of
the regional climate balance and its importance for the global climate
(Shindell and Faluvegi, 2009).</p>
      <p>The extent of the Arctic sea ice cover has a pronounced seasonal cycle with
the maximum typically in March (in February in 2015) and the minimum in
September. The main feature of the sea ice in summer is the presence of melt
ponds. Knowing their spatial and temporal dynamics during the melt season
and over several years can help improve understanding of the current state
and trends of the energy balance in the region. The sea ice extent has been
showing a general declining trend ever since the beginning of continuous
satellite observations in the late 1970s. This decline has been stronger for
the September minimum than for the March maximum (Cavalieri and Parkinson,
2012; Stroeve et al., 2011). The decline of the minimum sea ice extent has
become very significant since 2007: in September 2007, the minimum sea ice
extent of 4.15 million km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> was about 39 % below the average minimum of
1981–2000, and in 2012 the minimum (3.41 million km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was 49 % below
the 1981–2000 average (Perovich et al., 2012). While the minima of Arctic
sea ice extent were less dramatic in the years following 2007, it has to
be noted that all minima after 2007 were below all yearly minima observed
before 2007 (since beginning of satellite observations). What is the role of
melt ponds in the above-mentioned yearly dynamics of the sea ice cover? The
clear connection between the area of melt ponds in spring and sea ice extent
during the sea ice minimum in autumn is highlighted in Schröder et al. (2014).</p>
      <p>The temporal dynamics of melt can be subdivided into four stages (Eicken et
al., 2002). Stage 1 occurs after the onset of positive air temperatures and
is characterized by widespread ponding and lateral melt water flow. During stage 2 both the surface albedo and melt pond fraction (MPF) decrease due to removal of snow
cover and due to pond drainage. During stage 3, as the meltwater
penetrates deeper into the ice, the pond coverage continues to evolve and
MPF to grow. Stage 4 corresponds to freeze-up. This publication is dedicated
to the application of the algorithm to retrieve MPF and sea ice albedo
described and validated in the companion publications (Istomina et al.,
2015; Zege et al., 2015). As the Melt Pond Detection (MPD) retrieval does
not see separate ponds, but detects the spectral signature of melt ponds in
the measured top-of-atmosphere signal, the retrieved MPF dynamics will
somewhat deviate from above-mentioned stages of melt observed in the field.
The reason for this deviation is the ambiguity of the top-of-atmosphere
signal, where e.g. the spectrum of melting sea ice (before stage 1) can be
represented as a linear mixture of pond spectrum and non-melting ice
spectrum, as can be seen from field spectra in e.g. Istomina
et al. (2013). The problem is addressed in MPD by setting boundary
conditions on optical parameters given in Eq. (18) in Zege et al. (2015).
However, as the MPD uses only a limited amount of spectral bands in the
visible (VIS) and near infrared (NIR) surfaces which are similar in these channels may all be retrieved
as MPF, e.g. submerged ice, blue ice and water-saturated ice without yet
actual meltwater on it. This may introduce a bias in the MPF product (not
sea ice albedo); however, it does not imply limitations on the usage of the
MPD product for the studies of radiative balance and global circulation
models. Another source of bias of the MPD product are the unscreened thin clouds.</p>
      <p>All available Medium Resolution Imaging Spectrometer (MERIS) reduced
resolution data for the Arctic summers from 2002 to 2011 are processed and
compiled in lower resolution in daily and weekly averages to increase the
coverage and quality of the data. As the temporal evolution of the MPF and
the surface albedo is naturally correlated with the evolution in air
temperature at the surface, a comparison to National Centers for
Environmental Prediction (NCEP) reanalysis temperature data for various ice
types was performed to check the performance of the algorithm. This has been
done for extended periods of time (over the whole summer); also, in the
context of the above-mentioned connection of the MPF and sea ice extent, the
MPF dynamics have been studied for the 2 years 2007 and 2011 and also
compared to the data by Rösel and Kaleschke (2012) for selected cases.
The performed comparisons showed clear agreement both to reanalysis data and
to the MPF by Rösel and Kaleschke (2012).</p>
      <p>The manuscript is structured as follows: Sect. 2
is dedicated to the comparison of the MPF and albedo data to the reanalysis
air temperature for various locations. Global applications of the MPD
algorithms over the whole MERIS data set (2002–2011) are given in Sect. 3.
There the weekly averages for 2007 and 2011 are
analyzed (Sect. 3.1); for these cases a comparison
to another MPF retrieval is performed (Sect. 3.2) and MPF (Sect. 3.3) and sea ice albedo trends (Sect. 3.4) are presented.
The conclusions are given in Sect. 4.</p>
</sec>
<sec id="Ch1.S2">
  <title>Comparisons between surface air temperature and time series of MPF and albedo: case studies of FYI and MYI</title>
      <p>The processed swath MERIS Level 1b data obtained with the MPD algorithm as
described in the companion publications (Istomina et al., 2015; Zege et al.,
2015) have been gridded daily into the 12.5 km polar stereographic grid (the
so-called National Snow and Ice Data Center (NSIDC) grid) with the criterion
of more than 50 % valid pixels (both spatially and temporally) within a
grid cell to produce a valid grid cell. The standard deviation of such a
mixed spatial and temporal average is also provided. Thus, the resulting
NetCDF file contains four data sets: MPF, broadband albedo and their standard deviations (STDs). On
average, there were around 13 overflights per day, with the density of
overlapping swaths highest at about 80<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N latitude. Even from a
single overflight, there are at least 100 up to about 1000 data points for
averaging into a single grid cell. Assuming a stable retrieval and low
variations within a single day, the STD gives information about the spatial
variation of MPF and broadband albedo within the grid cell. This kind of
averaging does not provide a guarantee of a valid data point for every
single day and grid point. The gridding method with a threshold on the
amount of cloud-free pixels allowed to form a valid grid cell assists with
cloud screening because it does not allow partly screened out clouds or
potentially unscreened cloud edges to appear in the end product. However,
since the Arctic is one of the most cloud-covered regions with up to 80 %
cloud cover throughout the year (Serreze and Barry, 2005), some of
unscreened clouds will still affect the gridded product. The amplitude of
this effect tends to be the greatest (up to 15 % MPF bias) before melt
onset as it is the most challenging to separate clouds and bright snow/sea
ice. Later in the season the surface becomes darker due to melt, which aids
the cloud screening, and the bias in MPF and albedo introduced by unscreened
clouds decreases.</p>
      <p><?xmltex \hack{\newpage}?>The weekly resolution has been obtained by averaging the gridded daily
product. As in the case of daily resolution, a weekly averaged grid cell is
obtained from no less than 50 % of valid (cloud-free) pixels. Should a
given grid cell contain more than 50 % of invalid pixels, it is assigned
not a number value. No weight or threshold on STDs is applied. The resulting
STD is then written into the resulting NetCDF file together with the
averaged value for the broadband albedo and MPF.</p>
      <p>These weekly averages have a much higher data density since there is a
higher probability for the satellite to observe cloud-free areas within 1
week than it is the case for 1 day.</p>
      <p>For this study, the daily averaged product was taken in the area 75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 155<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W
(Beaufort Sea) and 84.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (North Greenland) and it was compared to the
time sequence of daily averaged air temperature at the surface (0.995 sigma
level) from NCEP reanalysis data (Kalnay et al., 1996). The difference
between melt evolution in the selected location is mainly that melt onset
happens about a month earlier in lower latitudes: beginning of June on FYI
as opposed to beginning of July for MYI. Then, due to FYI roughness being
much less than that of MYI, the maximum MPF on FYI can be about 4 times
higher than that on MYI (maximum melt 0.2 on MYI as opposed to up to 0.8 on
FYI, Fig. 1 in Istomina et al., 2015). While the melt onset occurs
rapidly on both ice types, the later stage of melt – drainage of melt ponds – happens
much sooner on FYI than on MYI. On MYI, this stage is generally
substituted with MPF decrease due to freezing and snowfall events. One more
difference between the two chosen locations is the sea ice concentration:
for the MYI, the ice concentration stays very high throughout the whole
summer, whereas for the FYI region, the effect of ice concentration and also
ice drift (in the swath data for consecutive days separate floes and their
drift is clearly visible) can affect the time sequence analysis, affecting
the noisiness of the retrieved values.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Schematic depiction of the case study locations (the size of the labels does not
correspond to the real size of the studied area, see text for area sizes). White circles depict
locations for the time sequence analysis in summer 2009, in the Beaufort Sea, FYI (red curves
in Fig. 2) and North Greenland, MYI (blue curves in Fig. 2). Yellow squares show
locations for two sites in both 2007 and 2011, namely in Barents Sea (E) and north to the
Queen Elizabeth Islands (W) (Fig. 5). Red squares depict the locations of two sites between
the Queen Elizabeth Islands (Fig. 10) and in the East Siberian Sea (Fig. 9), where the MPF
temporal behaviour was compared for years 2002–2011.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f01.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Time sequence of MPF, broadband albedo and NCEP air temperature at the surface
for two regions: FYI area in Beaufort Sea near Barrow (75<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 155<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, shown in red) and MYI
area around North Greenland (84.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 35<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, shown in blue) May to September 2009.
Locations are shown in Fig. 1 with white circles tagged “FYI” and “MYI”, respectively.
The albedo and MPF curves in the FYI area are interrupted as the area becomes completely
ice free on the 1st of August 2009.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f02.pdf"/>

      </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><caption><p>Retrieved weekly averaged MPF for summer 2007 and 2011.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f03.pdf"/>

      </fig>

      <p>Overall, the comparison of the retrieved MPFs and albedos to the surface air
temperature (Fig. 2) shows a clear connection during the melt onset: as soon as air temperature assumes
constantly positive values, sea ice albedo drops down and MPF increases
abruptly. For both FYI and MYI, the maximum MPF is around 0.35, with melt
onset happening in the beginning of June for FYI and beginning of July for
MYI. This corresponds to the knowledge about melt onset and dynamics from
field measurements (Fig. 1 in Istomina et al., 2015). The evolution of
melt on MYI follows the air temperature dynamics and goes on till first
snowfalls and freezing temperatures around mid August. The FYI region,
however, is closer to the ice edge and therefore features a greater range of
ice concentrations within the study area. As a result, the corresponding
curve appears noisier and interrupts with the area becoming ice free
starting 1 August. For periods before melt onset, the retrieved
MPFs range from 0 to 10–15 % with relatively high albedos; both might
be the effect of unscreened clouds which tend to increase retrieved pond
fraction in case of small true pond fraction and decrease it in case of high
true pond fractions. The difference of the sea ice type is also visible in
the albedo values before the melt onset (Fig. 2):
higher albedo of 90 % for MYI region and lower albedo of about 80 %) for
the coastal region of Beaufort Sea. For MPF before melt onset, the effect of
subpixel ice floes and greater open water fraction as compared to the MYI
region may have caused the difference in MPF offset with respect to expected
value near zero before melt (Fig. 2).</p>
</sec>
<sec id="Ch1.S3">
  <title>Temporal and spatial analysis over the whole MERIS data set</title>
      <p>This chapter presents the main highlights of the processed MERIS data for
2002–2011. Weekly averages have been used for this study due to better data
coverage; therefore the shown trends are produced with the weekly resolution.</p>
      <p>The most striking and characteristic stage of the melt season is the melt
onset and the first stage of melt evolution. Such dynamics are ice type
specific, e.g. on FYI this is the rapid melt pond formation followed by a
rapid drainage, during which the MPF changes drastically up and down within
a scale of days to weeks. MYI features later (starts in July) and slower
melt onset, less extreme pond fractions with the absence of rapid melt
evolution stages. The pond fractions in the melt maximum on MYI are close to
pond fractions of the melt evolution (after melt onset and drainage) on FYI.
Thus, the difference of MPF on FYI and MYI is most prominent in June.
Therefore in this work we study the temporal variation of MPF and albedo for
June of each year of the available MERIS data set.</p>
<sec id="Ch1.S3.SS1">
  <title>Weekly averages of June 2007 and 2011: how the record ice minimum in 2007 started</title>
      <p>It is interesting to compare the evolution of melt ponds right after the
onset of melt for the record sea ice minimum in 2007 and a similar one by
the ice minimum extent year 2011, to see how the patterns of melt changed
within these 5 years to reach the same resulting ice extent during the sea
ice minimum. In Fig. 3 the evolution of the MPFs
from the last 2 weeks of May up to first 2 weeks of September 2007 and 2011
is shown. Both the onset of melt and melt stage 1 occur in the fourth week of
May at the shore of Beaufort Sea (2007) and East Siberian Sea (2011).</p>
      <p>The melt stage 1 during the first week of June has much more local character
in 2011 than in 2007, being centred near point Barrow and the shore of
Beaufort Sea, as opposed to 2007 when the melt onset began already at a more
global scale. The second week of June 2007 featured drastic melt which
corresponds to the last phase of melt stage 1 with MPF values up to about
50 % in the Beaufort Sea and the western part of the FYI covered Arctic
Ocean (top row panels in Fig. 4), whereas in 2011 the
situation was more or less stable relative to the first week of June.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Main differences of weekly MPF averages 2007 and 2011 (Fig. 3). Comparison
of the weekly average pond fraction for the second week of June 2007 and 2011 (top row panels, left
and right correspondingly) and for the second week of July 2007 and 2011 (bottom row panels, left
and right correspondingly). Note the drastic melt onset in the 2nd week of June 2007, but
lower MPFs in the 2nd week of July 2007 compared to 2011.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f04.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Daily averages of MPF (top panel) and NCEP air temperature at the surface (bottom
panel) for two locations with the similar melt dynamics (“reference”) and diverse melt
dynamics (“characteristic”): reference location to the north to the Queen Elizabeth Islands,
83<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 110<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (tag “W” in the legend), 2007 (blue curves) and 2011 (red curves) and
characteristic location in the Barents Sea, 85<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 65<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (tag “E” in the legend), 2007 (green
curves) and 2011 (black curves). Locations are shown in Fig. 1.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Comparison of the MPD MPF (8-day average, left column panels) to the MPF from (Rösel
and Kaleschke, 2012) (8-day composite, right column) for 18 June 2007 (top row panels) and
18 June 2011 (bottom row panels).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f06.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Comparison to MPF from MODIS data (R\"{o}sel et al., 2012)}?><title>Comparison to MPF from MODIS data (Rösel et al., 2012)</title>
      <p>For this comparison, two examples presented in Rösel and Kaleschke (2012)
are taken: 8-day composites starting on 18 June 2007 and 18 June 2011.
These are the cases of prominent difference in melt pond patterns in
2007 and 2011. In order to compare the two data sets, the 8-day composites
from MODIS (pond fraction relative to ice area) available at the web page of
University of Hamburg: <uri>http://icdc.zmaw.de/arctic_meltponds.html?&amp;L= 1</uri> have been converted into pond
fraction relative to pixel area using the provided ice concentration.
Corresponding 8-day averages have been created from the MPD daily gridded
data. The selection of valid grid cells in the data set by Rösel et al. (2012)
is the following: not less than 50 % valid pixels for a valid grid cell, ice concentration
greater than 25 %, STD of MPF less than 15 %. The comparison plot is
shown in Fig. 6. It is apparent that for the
18 June 2007 both data sets show similar spatial patterns with higher MPF between
the Queen Elizabeth Islands and Beaufort Sea, and lower MPF in the MYI
region north to Greenland and eastern part of the Arctic Ocean. This pond
fraction distribution seems plausible when considering the date of
observation, before melt onset in the MYI region, and such a spatial
distribution is confirmed by both algorithms. The MPF values slightly differ
in amplitude (note the distribution of higher and lower MPF in both data sets
e.g. in the Beaufort Sea). The primary reason for this difference is likely
the contrast in cloud screening methods between the two data sets, with MODIS
much better suited to cloud screening over snow, resulting in differences in
the fraction of unscreened clouds between both data sets. The second reason
is the different averaging method, with data by Rösel et al. (2012)
being produced as a composite (best or most characteristic observation
within the period), whereas MPD data is obtained by unweighted averaging.
And finally the third reason for the difference is the positive 8 % offset
of the data set by Rösel et al. (2012) as provided in the “Data
quality” section at the data source <uri>http://icdc.zmaw.de/arctic_meltponds.html?&amp;L= 1</uri>. It is unclear whether this bias is
constant over the whole range of MPFs and if it is possible to correct for
it. Mäkynen et al. (2014) suggest that the bias stems from possibly
inaccurate assumption about sea ice optical properties, which would mean
that the bias varies not only with MPF, but also with weather conditions and
location in the Arctic ocean.</p>
      <p>The second row of Fig. 6 shows the same
comparison, but for 18 June 2011. Here again, both algorithms agree on the
spatial distribution of the melt ponds, with slight differences in the
amplitude, and thus confirm the plausibility of results presented both in
Sect. 3.1 and in Rösel and Kaleschke (2012).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Spatial trends of MPFs for the Arctic Ocean over the whole MERIS data set (2002–2011)</title>
      <p>As seen from the comparison to in situ data and reanalysis temperature data,
the MPD retrieval is affected by unscreened high thin clouds, to which none
of the available cloud filters are sensitive but which affect the retrieved
MPF and albedo because clouds tend to increase the albedo/decrease pond
fraction for areas of high true MPF and increase MPF/decrease albedo for
areas of no or little melt. This produces an offset at the low MPFs and is
mainly visible at the beginning of the melt season. It affects also the
maximum reachable MPFs at the peak of the melt and the minimum MPFs before
and after the season. The performance of the algorithm is compromised during
the end of the melt season due to the presence of over-frozen, snow covered
or melted through melt ponds.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Melt pond fraction trends (trend in MPF %) for the 4 weeks of June for the whole
investigation period 2002–2011.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f07.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p><inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> values for the weekly MPF trends (see Fig. 7).</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f08.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Time sequence of MPF for the studied years for the area of negative MPF trend in
the East Siberian Sea (74<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 160<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, marked with the red square “ES” in Fig. 1). In the
2nd–3rd week of June the MPF in the earlier years of the MERIS data set reached high (up to 0.5)
peak values as the melt onset started, which is typical for the first year ice. In the later years,
however, the behaviour of the MPF more resembles that of the MYI: no rapid melt onset,
lower peak values of MPF. Running mean with window size 3 has been applied to the data.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f09.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Time sequence of MPF for the studied years for the area of positive MPF trend in
the Queen Elizabeth Islands (78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 108<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, marked with the red square “QE” in Fig. 1). In
the 3rd–4th week of June the MPF in the earlier years of the MERIS data set reached peak
values later in the summer as compared to later years, and melt onset in the later year happens
earlier than before. Running mean with window size 3 has been applied to the data.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f10.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Broadband sea ice albedo trends (trend in albedo %) for the 4 weeks of June for
the whole investigation period 2002–2011.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f11.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p><inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> values for the weekly broadband albedo trends (see Fig. 11).</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://tc.copernicus.org/articles/9/1567/2015/tc-9-1567-2015-f12.pdf"/>

        </fig>

      <p>Nevertheless, for the MERIS data the temporal dynamics of the retrieved
quantities compares well with the NCEP surface air temperature data and the
weekly averages show pronounced spatial variability of the retrieved pond
fractions for different years which cannot be explained by thin cloud cover.
This gives us the possibility to study the trends of the retrieved
quantities as a potential systematic offset due to clouds would be cancelled
out and only the variability of the true value shows up in the trend
(Fig. 7). The trend significance given by the map
of the MPF trend <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value (Fig. 8) confirms this
finding: the strongest positive or negative trends are the most significant
ones with the <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value of about 0.05–0.1. Given the small size of the studied
sample (10 points), the statistically significant <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value is expected to be
greater than that of the larger samples. Therefore the <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values obtained
here can be used to select the trend candidates. One more criterion that
supports the statistical significance of the discovered trends is the
spatial continuity of the <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value that suggests the non-random nature of the effect.</p>
      <p>There is no trend for the first week of June throughout the years
(Fig. 7), except for a slight positive trend of
MPF near Point Barrow. This feature disappears for the second week, and a
positive trend of 1–2 % during the early melt season is found near the
Queen Elizabeth Islands. This trend remains until the end of June.
Explanation for this finding is not the increase in the absolute value of
the MPF, but rather the melt onset shifting towards spring in these areas
throughout the MERIS data set (Fig. 10). A negative trend in the East Siberian Sea has yet to be explained: either it
is the opposite temporal shift of melt evolution towards summer, or a shift
of melt evolution towards spring with e.g. drainage phase of melt observed
instead of maximum melt, or a fluctuation in the weather conditions or in
the ice type in the area within the studied years. It is important to
understand that the trend of the MPF can as likely occur due to temporal
shift of the melt process towards spring or autumn, as well as change of
maximum possible pond fraction due to ice type change. The maximum and
average MPFs depend not only on the air temperature, but also on the sea ice
roughness on various scales and other ice properties (Polashenski et al.,
2012), so an increasing air temperature trend in the area would not
necessarily produce an increasing MPF trend. The time sequence of MPF for
the studied years for the location of interest in the East Siberian Sea
(74<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 160<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E averaged 50 km around the point) is shown in Fig. 9.</p>
      <p>The MPF curves for different years hardly show any temporal shift, but
display a change of absolute MPF and of temporal behaviour of the melt
evolution, which is an indication of an ice type change from FYI to MYI.
E.g. the curve corresponding to 2011 in Fig. 9
(red curve) shows a clear MYI MPF dynamics. The presence of MYI in the area
is confirmed by analyzing the maps of ice concentration for the autumn
before in the region of interest (not shown here, for details see AMSR-E ice
concentration maps provided by Uni Bremen,
<uri>http://www.iup.uni-bremen.de:8084/databrowser.html</uri>). At the same time, a
similar plot (Fig. 10) for the Queen Elizabeth
Islands (50 km around 78<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 108<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) displays the exact
opposite: the peak of MPF for the melt onset shifts towards spring in the
later years of the MERIS data set, whereas the absolute value of the MPF peak
stays the same. This is the sign of warm air masses appearing earlier in the
summer than before, producing the positive MPF trend for the area.</p>
      <p>The MPF trend for the 4th week of June features earlier melt onset in
the MYI regions and further melt overall in the Arctic ocean with occasional
hints of longitudinal oscillations, e.g. in week 4 of June (Fig. 7).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Spatial trends of broadband sea ice albedo for the Arctic Ocean over the whole MERIS data set (2002–2011)</title>
      <p>The MPF and the broadband albedo of the pixel are joint products, i.e. an
increasing trend for MPF gives a decreasing trend of the albedo. A
decreasing albedo trend around the Queen Elizabeth Islands and increasing
trend in the East Siberian Sea (see Fig. 11)
correspond well to dynamics of the apparent MPF weekly trends
(Fig. 7) and are confirmed by low <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values
(Fig. 12). The slight differences in spatial
patterns of albedo and MPF trends can be explained by different sensitivity
of both retrievals to different ice types and their respective optical properties: the albedo
retrieval translates the change of ice reflectance into the albedo of the
pixel, whereas the MPF retrieval only retrieves MPF. The albedo trend
significance which a displays similar spatial pattern as the significance of
the MPF trend (Fig. 8) is shown in Fig. 12. As can be seen from the albedo trend
significance, the remaining areas did not show clear albedo trend within the
studied period of time.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>This publication presents a detailed analysis of the MPD product (Istomina
et al., 2015; Zege et al., 2015) consisting of a comparison to reanalysis
air surface temperatures, detailed analysis of weekly averages for 2007 and
2011 (which both showed different dynamics of MPF, but resulted in similar minimum
sea ice extent), a comparison to the data by Rösel et al. (2012), and an analysis of albedo and MPF trends. The gridded products compare well to
independent reanalysis temperature data and show melt onset when the
temperature gets above zero degrees Celsius (Fig. 2); however MPD results show an offset at low MPF of about 10 % most
probably due to unscreened high clouds. This makes the application of the MPD
algorithm to a sensor with a more precise cloud mask desirable
(Visible Infrared Imaging Radiometer Suite (VIIRS) onboard Suomi NPP or Ocean Land Colour Instrument (OLCI) onboard Sentinel3). Though absolute daily values
of MPF and albedo may be affected by unscreened clouds, relative MPF and
albedo differences through the temporal axis are significant and the
temporal MPF dynamics correspond to that observed in the field for FYI and
MYI (Fig. 2). This is also applicable to weekly
averages based on analysis of MPF behaviour in 2007 and 2011
(Figs. 3 and 4) and on the comparison of the MPD product to data by Rösel et al. (2012)
(Fig. 6). Thus, the MPD products are suitable for
analyzing temporal and spatial dynamics of MPF and sea ice albedo.</p>
      <p>Weekly averaged trends show pronounced dynamics of both MPF and albedo: a
negative MPF trend in the East Siberian Sea connected to a change of
absolute MPF value in its peak but no temporal shift, a positive MPF trend
around the Queen Elizabeth Islands connected to the earlier melt onset but
with peak MPF values staying the same (Figs. 7, 9 and 10). The
MPF dynamics in the East Siberian Sea could indicate a change of ice type
prevailing in the region, as opposed to the Queen Elizabeth Island, where
the MPF dynamics react to earlier onset of melt. This will be analyzed
further in a follow-up publication.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>NCEP Reanalysis data provided by the NOAA/OAR/ESRL PSD, Boulder, Colorado,
USA, from their web site at <uri>http://www.esrl.noaa.gov/psd/</uri>.</p><p>Arctic melt pond cover fractions were obtained for June 2007 and 2011 from
the Integrated Climate Data Center (ICDC, <uri>http://icdc.zmaw,de/</uri>),
University of Hamburg, Hamburg, Germany, March 2015.</p><p>The authors are grateful to the two anonymous reviewers and the editor
H. Eicken for their effort and valuable comments on the manuscript.</p><p>This work has been funded as a part of EU project SIDARUS. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication
were covered by the University of Bremen. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: H. Eicken</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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