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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 Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/tc-15-5473-2021</article-id><title-group><article-title>Perspectives on future sea ice and navigability in the Arctic</article-title><alt-title>Perspectives on future sea ice and navigability in the Arctic</alt-title>
      </title-group><?xmltex \runningtitle{Perspectives on future sea ice and navigability in the Arctic}?><?xmltex \runningauthor{J.~Chen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Jinlei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Kang</surname><given-names>Shichang</given-names></name>
          <email>shichang.kang@lzb.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Du</surname><given-names>Wentao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Guo</surname><given-names>Junming</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xu</surname><given-names>Min</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Yulan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1839-4987</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zhong</surname><given-names>Xinyue</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Wei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Jizu</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Cryospheric Science, Northwest Institute of
Eco-Environment and Resources,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Lanzhou 730000,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University of Chinese Academy of Sciences, Beijing 100039, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Key Laboratory of Remote Sensing of Gansu Province, Northwest
Institute of Eco-Environment and Resources,<?xmltex \hack{\break}?> Chinese Academy of Sciences,
Lanzhou 730000, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Shichang Kang (shichang.kang@lzb.ac.cn)</corresp></author-notes><pub-date><day>8</day><month>December</month><year>2021</year></pub-date>
      
      <volume>15</volume>
      <issue>12</issue>
      <fpage>5473</fpage><lpage>5482</lpage>
      <history>
        <date date-type="received"><day>29</day><month>January</month><year>2021</year></date>
           <date date-type="rev-request"><day>1</day><month>February</month><year>2021</year></date>
           <date date-type="rev-recd"><day>13</day><month>October</month><year>2021</year></date>
           <date date-type="accepted"><day>29</day><month>October</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://tc.copernicus.org/articles/.html">This article is available from https://tc.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e171">The retreat of sea ice has been found to be very
significant in the Arctic under global warming. It is projected to continue
and will have great impacts on navigation. Perspectives on the changes in
sea ice and navigability are crucial to the circulation pattern and future
of the Arctic. In this investigation, the decadal changes in sea ice
parameters were evaluated by the multi-model from the Coupled Model
Inter-comparison Project Phase 6, and Arctic navigability was assessed under
two shared socioeconomic pathways (SSPs) and two vessel classes with the
Arctic transportation accessibility model. The sea ice extent shows a high
possibility of decreasing along SSP5-8.5 under current emissions and climate
change. The decadal rate of decreasing sea ice extent will increase in March
but decrease in September until 2060, when the oldest ice will have
completely disappeared and the sea ice will reach an irreversible tipping
point. Sea ice thickness is expected to decrease and transit in certain
parts, declining by <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> m per decade after September 2060. Both the sea
ice concentration and volume will thoroughly decline at decreasing decadal
rates, with a greater decrease in volume in March than in September. Open
water ships will be able to cross the Northern Sea Route and Northwest Passage
between August and October during the period from 2045 to 2055, with a maximum
navigable percentage in September. The time for Polar Class 6 (PC6) ships
will shift to October–December during the period from 2021 to 2030, with a
maximum navigable percentage in October. In addition, the central passage
will be open for PC6 ships between September and October during 2021–2030.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e193">The Arctic has experienced significant warming since the 1970s (Connolly et
al., 2017). Along with the increasing surface air temperature, Arctic
communities have experienced unprecedented changes, such as reduction of sea
ice extent and thickness, loss of the Greenland ice sheet, decrease in snow
coverage, and thawing of permafrost (Biskaborn et al., 2019; Box et al.,
2019; Brown et al., 2017; Loomis et al., 2019). The sea ice extent has
declined at a rate of approximately 3.8 % per decade. In comparison,
perennial ice had a higher proportion of loss of approximately 11.5 % per
decade during the period from 1979 to 2012 (Comiso and Hall, 2014). The
average ice thickness near the end of the melt season decreased by 2.0 m or
66 % between the pre-1990 submarine period (1958–1976) and the
CryoSat-2 period (2011–2018) (Kwok, 2018). Continued declines in sea ice
have been projected by the Coupled Model Inter-comparison Project Phase 5 in
the Arctic through the end of the century (Meredith et al., 2019).</p>
      <p id="d1e196">Sea ice reflects a significant fraction of the solar radiation because it
has a high albedo. It also reduces the heat transfer between the ocean and
the atmosphere as it acts as an insulator (Screen and Simmonds, 2010). With
the retreat of sea ice, thermohaline circulation has changed (Jourdain
et al., 2017), and global warming has intensified (Abe et al., 2016).
However, climate change has led to prolonged open water conditions and
large-scale Arctic shipping that will involve ice channels (Barnhart et al.,
2015; Huang et al., 2020a). The Northern Sea Route (NSR) extends along the
northern coast<?pagebreak page5474?> of Eurasia from Iceland to the Bering Strait, which shortens
the transit distance by approximately 15 %–50 % relative to the
southern routes through the Suez Canal (Buixadé Farré et al., 2014).
It is navigable for approximately 3 months per year for ice-strengthened
ships at the end of summer and the beginning of autumn (Yu et al., 2021).
The end of shipping season for open water (OW) vessels has reached 24 October
since 2010 (Chen et al., 2019). However, navigability is still affected
by the ice regime, such as ice thickness and concentration, around the
Severnaya Zemlya islands, the Novosibirsk islands, and the East Siberian
Sea. The Northwest Passage (NWP) follows the northern coast of North America
and crosses the Canadian Arctic archipelago. Compared to the traditional
Panama Canal route from western Europe to the Far East, the NWP shortens the
transit distance by 9000 km (Howell and Yackel, 2004). The shortest
navigable period was up to 69 d during 2006–2015 (Liu et al., 2017), and
the first time of its being completely free of ice was reported to occur in
September 2007 (Cressey, 2007). Geographical and political factors also pose
some challenges to the navigability of passages and choice of routes (Ryan
et al., 2020). The straits along the NWP are at times narrow and shallow,
which are easily clogged by free floating ice. NSR is greater than NWP in
terms of geography, while it still has several choke points where ships must
pass through shallow straits between islands and the Russian mainland
(Ostreng et al., 2013). Apart from the geographical factor, the various
organizations and groups formed between the surrounding Arctic nations, as well
as the disputes and agreements, give impetuses for adopting the NSR. Russia
has committed several large infrastructure projects to support the NSR, such
as the Yamal-Nenets railway and emergency rescue centers (Serova and
Serova, 2019). China, which is characterized as a near-Arctic state,
also outlined the plans to build a Polar Silk Road by building
infrastructure and conducting trial voyages (Tillman et al., 2019). For the
development of socioeconomics and marine transportation, future projections
of ice conditions and Arctic passages are increasingly important, for which
climatic changes should be considered (Gascard et al., 2017). Smith and
Stephenson (2013) investigated the potential of Arctic passages under
representative concentration pathway (RCP) 4.5 and RCP 8.5 and found that
OW ships and Polar Class 6 (PC6) ships (Table 1) will be able to cross NSR and
NWP in September by the mid-century, respectively. The areas of the Arctic
accessible to PC3, PC6, and OW ships would rise to 95 %, 78 %, and
49 %, respectively, of the circumpolar International Marine Organization
Guidelines Boundary area by the late 21st century (Stephenson et al., 2013).
Melia et al. (2017) suggested that the Arctic passages from Europe to Asia
would be 10 d faster than conventional routes by the mid-century and 13 d faster by the late century. Recent research has shown that NSR might be
accessible earlier for OW ships in September 2021–2025, and the navigable
window would extend to August–October during 2026–2050 under shared
socioeconomic pathways (SSPs) 2–4.5 (Chen et al., 2020). However,
evaluating sea ice conditions and Arctic navigability by a single climate
model, even one with a higher resolution, is insufficient.</p>
      <p id="d1e199">This prospective study was designed to obtain further insight into the
future changes in sea ice in the Arctic and the navigability of the Arctic
during this century with up-to-date ensemble climate models in the Coupled
Model Inter-comparison Project Phase 6 (CMIP6). To reduce uncertainties of a
single high-resolution model and multi-model average, models were filtered
by comparing the historical simulations and observations of sea ice extent,
and the possible SSPs were investigated with the average of multiple models.
The distributions of the linear trend of sea ice extent, concentration, and
thickness were explored in three stages (2021–2040, 2041–2060, and
2061–2100). In addition, the changes in sea ice volume and age were
analyzed. The accessibility of the Arctic and the navigable area were
evaluated with the Arctic Transportation Accessibility Model (ATAM) from the
Arctic Ice Regime Shipping System (AIRSS) for OW ships and PC6 ships under
SSP2–45 and SSP5–85 in 2021–2030 and 2045–2055.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data and model selection</title>
      <p id="d1e217">The new scenario framework SSP in CMIP6 was designed to carry out research
on climate change impacts and adaption by combining pathways of future
radiative forcing and climate changes with socioeconomic development
(O'Neill et al., 2014). SSP1 indicates a sustainable development, which
proceeds at a reasonably high pace. Technological change is rapid, and
inequalities are lessened and directed toward environmentally friendly
processes. Unmitigated emissions are high in SSP3. It is due to a rapidly
growing population, moderate economic growth, and slow technological change
in the energy sector. SSP2 is an intermediate case between SSP1 and SSP3.
SSP5 occurs in the absence of climate policies, energy demand is high, and
most of this demand is met with carbon-based fuels.</p>
      <p id="d1e220">Compared with CMIP5 models, the CMIP6 multi-model ensemble mean provides a
more realistic estimate of the Arctic sea ice extent (SIMIP Community,
2020), but the biases of the models are still large (Shu et al., 2020). This
study selected models by comparing the historical trend of Arctic sea ice
extent in simulations with remote sensing observations during 1979–2012. The
observation data come from the Sea Ice Index of the National Snow and Ice Data
Center. The selected models are those that have a correlation coefficient
between the original simulations and observations greater than 0.8 (0.7 for
March). Five-point moving averages of the simulated and observed sea ice
extent are displayed in Fig. 1. The models passing the test are CESM2,
MPI-ESM1-2-HR, MPI-ESM1-2-LR, NorESM2-LM, NorESM2-MM,<?pagebreak page5475?> ACCESS-ESM1-5,
AWI-CM-1-1-MR, and AWI-ESM-1-1-LR in September and CESM2, MPI-ESM1-2-LR,
ACCESS-ESM1-5, AWI-CM-1-1-MR, INM-CM5-0, MPI-ESM-1-2-HAM, and AWI-ESM-1-1-LR
in March. The mean of the selected models corresponds well with the
observations, and the correlation coefficients are 0.884 and 0.817 in
September and March, respectively. However, sea ice datasets in SSP1-2.6,
SSP2-4.5, SSP3-7.0, and SSP5-8.5 after 2020 have not been released for
CESM2, MPI-ESM-1-2-HAM, and AWI-ESM-1-1-LR until now. In addition,
AWI-CM-1-1-MR was excluded from analyzing the navigability of the Arctic in
the absence of sea ice concentration. The spatial resolution of monthly sea
ice concentration and thickness was normalized to <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by bilinear interpolation. Variables in figures and tables were
from the ensemble means of selected models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e245">The observations and five-point moving averages of sea
ice extent in March and September during 1979–2012.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Accessibility evaluation</title>
      <p id="d1e262">Safety and pollution are two of the opposite factors considered in
developing regulatory transport standards. AIRSS was designed to minimize
the risk of pollution in the Arctic due to damage to vessels by ice
(Transport Canada, 1998). ATAM, developed by AIRSS, is commonly used to
quantify the temporal and spatial accessibility in the Arctic, in which
the ice number (IN) represents the ability of a ship to enter ice-covered
water:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M3" display="block"><mml:mrow><mml:mi mathvariant="normal">IN</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">IM</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the sea ice concentration in grid <inline-formula><mml:math id="M5" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>. IM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mi>a</mml:mi></mml:msub></mml:math></inline-formula> is the ice
multiplier. It indicates the severity of each ice type for the vessel and
ranges from <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> to 2. Positive IM and IN represent less risk to the vessel and a
safe region for navigation, respectively. Vessel class reflects the
structural strength, displacement, and power of a ship to break ice. PC6
ships and OW ships are vessels with moderate ice strengthening and without
ice strengthening, respectively (IMO, 2002). In this paper, the navigability
of the Arctic for these two kinds of ships was investigated under SSP2-45
and SSP5-85. The corresponding IMs for the OW and PC6 ships are as follows (SIT signifies sea ice thickness):
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M8" display="block"><mml:mtable class="array" columnalign="left left left left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">IM</mml:mi><mml:mi mathvariant="normal">OW</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">120</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">151</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">SIT</mml:mi><mml:mi mathvariant="italic">&gt;=</mml:mi><mml:mn mathvariant="normal">151</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M9" display="block"><mml:mtable class="array" columnalign="left left left left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">IM</mml:mi><mml:mrow><mml:mi mathvariant="normal">PC</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">120</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">151</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">151</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SIT</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">189</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">SIT</mml:mi><mml:mi mathvariant="italic">&gt;=</mml:mi><mml:mn mathvariant="normal">189</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e727">Vessel classes versus operating ice thickness.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Vessel class</oasis:entry>
         <oasis:entry colname="col2">Maximum allowable</oasis:entry>
         <oasis:entry colname="col3">Ice thickness</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ice type</oasis:entry>
         <oasis:entry colname="col3">(cm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Polar Class 3</oasis:entry>
         <oasis:entry colname="col2">Second year</oasis:entry>
         <oasis:entry colname="col3">No limit</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Polar Class 6</oasis:entry>
         <oasis:entry colname="col2">Medium first year</oasis:entry>
         <oasis:entry colname="col3">0–120</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ordinary merchant</oasis:entry>
         <oasis:entry colname="col2">Open water/gray</oasis:entry>
         <oasis:entry colname="col3">0–15</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Future changes in sea ice area and extent</title>
      <p id="d1e822">The extent and area are the most reliable products of sea ice from satellite
retrieval (Comiso, 2012; Notz, 2014). Therefore, the sea ice extent was taken
as an indicator to evaluate models and future scenarios. As shown in Fig. 2, the observation trend was made with least square regression of sea ice
extent from 1979 to 2019, in which sea ice might completely disappear in
September after 2073. In addition to the classical pathways, such as
SSP1-2.6, SSP2-4.5, and SSP5-8.5, CMIP6 provides a variety of new
selections. However, SSP1-1.9, SSP4-34, and SSP4-6.0 were not discussed in
the multi-scenario evaluation for the less common models. According to
historical development and scenarios, sea ice will retreat in the future
with a more significant decreasing trend in September. The difference
between SSPs and observation trends is greater in March than in September,
while both have large dispersions among pathways after 2050. Compared with
others, SSP5-8.5 has the greatest correlation coefficients, which are 0.784
and 0.712 in September and March, respectively, with the observation trend;
SSP2-4.5 comes second. This suggests that Arctic sea ice might be the worst
scenario in the future under the current emission and climate change trends.
The Arctic is regarded as “ice free” when the sea ice area is less than 1 million km<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Lenton et al., 2019). The extrapolated observed time
series suggests “ice free” will occur in September 2060, and ice will
almost completely disappear under SSP2-4.5, SSP3-7.0, and SSP5-8.5 by the
end of the century.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e836">Sea ice extent under multiple scenarios and observation trends in
March and September.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f02.png"/>

        </fig>

      <p id="d1e845">“Ice free” was taken as one of the tipping points of climate change with
significant irreversible effects (Lenton et al., 2019). Three stages were
extracted for the changes in sea ice extent in Fig. 3. Decadal linear
trends and probability distributions with an interval of 0.4 million km<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per decade were calculated to evaluate the decline in sea ice and the
difference in models. Sea ice linear trends are less than zero in both March
and September in 2021–2100, while the retreat will be more remarkable in
September before 2060, especially during 2021–2040, after which the decline
is mainly shown in March because the extent might be close to “ice free”
in September. The dispersion of SSPs will increase in March over time, as
will the absolute decadal trends of SSP3-7.0 and SSP5-8.5. However, it is
aggregated in September, and the<?pagebreak page5476?> decadal variability in SSPs, especially
SSP2-4.5 and SSP5-8.5, has a decreasing trend. Multi-model simulations
mainly range from <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> to 0 million km<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per decade in March, in which
the distributions of SSP5-8.5 are chiefly [<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>, 0), [<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>), and
[<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>) million km<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per decade during 2021–2040, 2041–2060, and
2061–2100, respectively. A relatively even distribution is shown in
September before the mid-century, while it is concentrated in [<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>, 0) in
the late century. This indicates that the difference among models is still
great in September before 2060, while the trends are consistent in
2061–2100.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e949">Linear trends and probability distributions (PDs) of Arctic sea
ice extent (SIE) in March and September.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Future changes in other sea ice parameters</title>
      <p id="d1e966">In addition to the extent and area, thickness, concentration, volume, and
age are important indicators of changes in sea ice in the future. Figures 4
and 5 show the linear trends of ice thickness and concentration and the
changes in sea ice volume and age, respectively, under SSP5-85 in
2021–2100. Ice thickness has a negative trend within the Arctic
Archipelago, in coastal water, and in the sector to the north of the Arctic
Archipelago and Greenland in September, while the other parts will slightly
increase in the next 20 years. The trend is reversed in the Arctic Ocean,
and the decreasing area near the shore will extend to the north in
2041–2060, after which almost all sea ice will be reduced with an average
trend of <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> m per decade in the Arctic. Sea ice concentration<?pagebreak page5477?> will
decrease throughout the rest of this century. The significant area is to the
north of the Arctic Archipelago and Greenland and the Arctic Basin in
September 2021–2040. The extent will shrink, and the decadal linear rate
will decrease until the second half of the century, when the rate of
decrease will be even and small in the Arctic. The average decadal rates of
sea ice concentration are <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.39</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.26</mml:mn></mml:mrow></mml:math></inline-formula> %, and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula> % in the
three stages. Sea ice volume will decrease in both March and September
2021–2100. The rate of decrease is higher in March, and sea ice might
completely disappear in September before 2090. Ice age is also a key
descriptor of the state of sea ice cover. Compared to younger ice, older ice
tends to be thicker and more resilient to changes in atmospheric and oceanic
forcing (Richter-Menge et al., 2019). As displayed in Fig. 5, the oldest
ice (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> years old) currently comprises just a small fraction in
March, and it might eventually disappear by approximately the mid-century.
With the degeneration of older ice, the extent of the younger ice will
increase over a period, such as 3- to 4-year-old ice in the next 10 years,
2- to 3-year-old ice before 2035, and 1- to 2-year-old ice before 2050,
after which it will degrade into the next younger ice. First-year ice dominates
the sea ice cover in the present and future. It increases mainly before 2060
and remains stable until 2090, after which it starts to decrease due to the
lack of supplementation from degraded older ice.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1021">Linear trends of sea ice thickness and concentration under
SSP5-85 in September.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1032">The changes in sea ice volume and age under SSP5-85.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Future changes in arctic navigability</title>
      <p id="d1e1049">With the retreat of sea ice, the possibility for navigation is rising in
the Arctic. The opening of passages will be profitable for ocean shipping
companies (Chang et al., 2015). The most likely navigable window is in
September. Figure 6 shows Arctic accessibility for the OW ships under
SSP5-8.5 in September. Panel (a) indicates that the probability of crossing
NSR and NWP is low in the next 10 years. The impassable areas for NSR are
mainly in the East Siberian Sea and northwestern Laptev Sea, but nearshore
waters might be navigable for vessels with shallow drafts. Four crucial
straits, the Vilkitsky Strait, Shokalsky Strait, Dmitry Laptev Strait,
and Sannikov Strait, are accessible for OW ships. NWP is impassable in the
sectors west of Banks Island and Queen Elizabeth Island, as well as the
M'Clure Strait, Viscount Melville Sound, Barrow Strait, and Lancaster Strait
within the Parry Channel. All routes provided in the Arctic marine shipping
assessment report (AMSA, 2009) are under restrictions for OW ships. By the
mid-century, both NSR and NWP will open for OW ships under SSP5-8.5 in
September.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1054">INs for OW ships under SSP5-8.5 in September.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f06.png"/>

        </fig>

      <?pagebreak page5478?><p id="d1e1063">The opening of the Arctic passages mainly depends on the connectivity among
grid cells, during which the overall navigable potential in a region can be
measured by the percentage of accessible grid cells with total grid cells.
Figure 7 displays the Arctic navigable grid cells for OW ships and PC6 ships
under SSP2-4.5 and SSP5-8.5 in 2021–2030 and 2045–2055. It is the
percentage of grid cells in which INs are greater than 0. The totally navigable
percentage for OW ships is shown as a unimodal curve in both stages, with
the peak in September and the valley in April and March. It is an irregular
curve for PC6 ships with the minimum value in June. The maximum values are
shown in October 2021–2030, while they will have a range in November and December by
the mid-century. Actually, the Arctic would be navigable for PC6 ships from
October to December. It is very strange that an abnormal decrease occurs in
September in 2045–2055. The navigable grid cells within every 5<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude from 65 to 90<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N are plotted in Fig. 8 for
further study. This indicates that the abnormal point results from the
decrease within 80–90<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, but the reason is hard to
explain. The navigable grid cells are mainly concentrated at 65–75<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N for OW ships in the next 10 years, and they will extend
to 80<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N by the mid-century. The central passage might be
accessible for PC6 ships in September and October, and the open window would
be from October to January in 2045–2055. The routes of NSR and NWP are
mainly distributed in 70–75<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The possibility for
OW ships crossing two passages is low until August–October 2045–2055,
while it is high for PC6 ships during October–December 2021–2030, and the
open window would extend to August–January in 2045–2055.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1124">The percentage of totally navigable grid cells for OW
ships and PC6 ships under SSP2-4.5 and SSP5-8.5.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1135">The percentage of navigable grid cells for OW ships and
PC6 ships under SSP2-4.5 and SSP5-8.5 within different latitudes.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://tc.copernicus.org/articles/15/5473/2021/tc-15-5473-2021-f08.png"/>

        </fig>

</sec>
</sec>
<?pagebreak page5479?><sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion and concluding remarks</title>
      <p id="d1e1153">The Arctic warming rate is more than double the global average, and it has
had great impacts on the Arctic and globe (Cohen et al., 2020). This paper
investigated the future changes in sea ice and navigability of passages in
the Arctic under two kinds of shared socioeconomic pathways. It provides a
vision of the earth's future and has great significance for navigation
planning. The following results were found.
<list list-type="order"><list-item>
      <p id="d1e1158">The changes in sea ice would occur along SSP5-8.5 with a higher
possibility under the current trend. “Ice free” might appear in September
2060, and sea ice would completely disappear by the end of the century.</p></list-item><list-item>
      <p id="d1e1162">The retreat of sea ice is more significant in September before 2060,
after which the decline is mainly shown in March. The decadal rate of sea
ice extent will increase under SSP5-8.5 in March, while it will decrease in
September.</p></list-item><list-item>
      <p id="d1e1166">The decrease in sea ice thickness will transit from the Arctic Ocean
north of the Arctic Archipelago and Greenland to the seas along Russia and
North America and will totally decline with an average decadal trend of
<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula> m in September after 2060. Sea ice concentration will thoroughly
decline with decreasing decadal rates.</p></list-item><list-item>
      <p id="d1e1180">Sea ice volume will decrease at a higher decadal rate in March than in
September. The oldest ice might eventually disappear by approximately the
mid-century. First-year ice dominates the sea ice cover. It increases mainly
before 2060 and remains stable until 2090, after which it starts to
decrease.</p></list-item><list-item>
      <p id="d1e1184">The probability for OW ships crossing NSR and NWP is low in 2021–2030,
while it is high in August–October<?pagebreak page5480?> 2045–2055, with maximum and minimum
navigable grid cells in September and March, respectively.</p></list-item><list-item>
      <p id="d1e1188">The passages along the coast and crossing the Arctic might open for PC6
ships during October–December and September–October 2021–2030,
respectively, with maximum navigable grid cells in October. The open
window would extend to August–January and October–January in 2045–2055,
respectively, and the maximum navigable grid cells have a range in November and
December.</p></list-item></list></p>
      <p id="d1e1191">The navigable window for OW ships and PC6 ships along the NSR were
investigated in our previous work (Chen et al., 2020), but it is insufficient
to evaluate Arctic navigability by a single climate model, even with a high
resolution. This study serves as a reference for future changes in sea ice
and navigability in the Arctic, including NSR, NWP, and central passage.
However, the uncertainty of the models might have affected the results and
their reliability in this research. Approximated physical processes and
unreal parameters in models are inevitable problems in the geosciences.
Differences still existed even when the models were filtered by comparing
the historical simulations with the observations of sea ice extent. The
abnormal decrease in navigable area at high latitudes (80–90<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) in September might be an example. This is against
conventional wisdom, but it could be true. The uncertainty of the models is
expected to decrease in future prospective research. Different ice types do
make a big difference to ship navigability. For example, for the same sea
ice thickness (SIT) <inline-formula><mml:math id="M34" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> sea ice concentration (SIC) (e.g., SIT <inline-formula><mml:math id="M35" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> SIC <inline-formula><mml:math id="M36" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.3),
pack ice (say SIT <inline-formula><mml:math id="M37" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.6 m thick and SIC <inline-formula><mml:math id="M38" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 50 %) has a high degree of
freedom that level ice (say SIT <inline-formula><mml:math id="M39" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.3 m and SIC <inline-formula><mml:math id="M40" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 100 %) does not have.
Thus, ships are easier to navigate in broken ice floes (Huang et al., 2020b).
ATAM is unable to clearly distinguish ice types at first, and this might be
a future direction. The percentage of the number of navigable cells (points)
was used to measure the navigable potential in a region. However, the
percentage of the navigable area makes a lot more sense because the area of
the grid cells is not constant in space at a latitude–longitude grid even if it can be
indicated by the percentage of navigable points which are uniformly distributed
at each latitude to a certain extent. Equidistant projection could be used
in the further research.</p>
</sec>

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

      <p id="d1e1258">All the data used in this paper are
available online. The simulations of sea ice can be accessed from the CMIP6
(<uri>https://esgf-node.llnl.gov/search/cmip6/</uri>, World Climate Research Programme, 2021). The observations of sea ice
extent are available from the National Snow and Ice Data Center
(<ext-link xlink:href="https://doi.org/10.7265/N5K072F8" ext-link-type="DOI">10.7265/N5K072F8</ext-link>, Fetterer et al., 2017).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1270">JinC and SK developed the concept and
investigated the methods of this paper. JinC and WD analyzed the data and
wrote the original draft. JG, MX, YZ, XZ, WZ, and JizC reviewed and edited the
manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1276">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1282">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1288">We are thankful for the data from CMIP6 and NSIDC.
Our cordial gratitude should be extended to the reviewers and the
editors for their professional and pertinent comments on this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1293">This work was financially supported by the
International Partnership Program of Chinese Academy of Sciences (grant no. 131B62KYSB20180003), the Key Research Program of Frontier Sciences, CAS (grant no. QYZDY-SSW-DQC021), the Frontier Science Key Project of CAS (grant no.<?pagebreak page5481?> QYZDJ-SSW-DQC039), the China National Key Research and Development Program (grant no. 2020YFA0608500), and the State Key Laboratory of Cryospheric Science (grant no. SKLCS-ZZ-2021).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1299">This paper was edited by Yevgeny Aksenov and reviewed by Bjørn Åge Hjøllo, Hajime Yamaguchi, Luofeng Huang, and one anonymous referee.</p>
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