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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</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/acp-26-14843-2026</article-id><title-group><article-title>Western Arctic wintertime mixed-phase clouds: Observed modulation by sea ice conditions,  long-term variabilities and trends</article-title><alt-title>Western Arctic wintertime mixed-phase clouds</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Saavedra Garfias</surname><given-names>Pablo</given-names></name>
          <email>pablo.saavedra@uni-leipzig.de</email>
        <ext-link>https://orcid.org/0000-0002-4596-946X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kalesse-Los</surname><given-names>Heike</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6699-7040</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Faculty of Physics and Earth System Sciences, Institute for Meteorology, Leipzig University, Leipzig, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Leibniz Institute of Atmospheric Physics at the Universiy of Rostock, Kühlungsborn, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Pablo Saavedra Garfias (pablo.saavedra@uni-leipzig.de)</corresp></author-notes><pub-date><day>22</day><month>October</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>20</issue>
      <fpage>14843</fpage><lpage>14865</lpage>
      <history>
        <date date-type="received"><day>17</day><month>May</month><year>2025</year></date>
           <date date-type="rev-request"><day>18</day><month>July</month><year>2025</year></date>
           <date date-type="rev-recd"><day>3</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>14</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Pablo Saavedra Garfias</copyright-statement>
        <copyright-year>2026</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://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026.html">This article is available from https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e100">To assess the long-term interaction between sea ice conditions and Arctic mixed-phase cloud (MPC) properties, fourteen winter seasons of observations from the North Slope of Alaska are analysed. MPC properties are contextualized with respect to sea ice conditions by identifying the most relevant upstream sea ice sector influencing the observed clouds. A conical sector with a 6° azimuthal width and a 50 km radius, based on the direction of maximum water vapour transport (WVT) within the atmospheric boundary layer, is considered. The height of the WVT is used as indicator of its interaction with the cloud, enabling classification as either cloud-coupled or decoupled. MPC properties are further classified according to the presence of high or low pressure systems and analysed as a function of sea ice concentration (SIC). Results indicate which MPC properties exhibit significant changes as SIC decreases. The long-term time series reveal both positive and negative trends in MPC properties, depending on the WVT coupling status and the prevailing atmospheric pressure system. Statistically significant positive trends are found, suggesting increases in sea ice-MPC coupled liquid water path (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">35.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade), cloud base height (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">44.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> m per decade) and cloud top temperature (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> K per decade) under low pressure weather systems. Additionally, the evolution of MPC properties display cyclical characteristics, which are hypothesized to be in phase with climate oscillations like ENSO or PDO. Although the results support this hypothesis, establishing a direct causal link remains non-trivial.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>268020496</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e166">Climate physics has long established that increasing atmospheric greenhouse gas concentrations warms the atmosphere <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx11" id="paren.1"/>. Observations over recent decades indicate that the Arctic is warming two to four times faster than the global average <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx68 bib1.bibx61" id="paren.2"/>, a phenomenon known as Arctic amplification (AA) <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx49" id="paren.3"/>. Climate models attribute AA primary to external forcing, primarily the atmospheric lapse-rate feedback and sea ice loss. However, uncertainty in the magnitude of AA persist, largerly due to models' limited ability to simulate the sensitivity of Arctic sea ice loss to rising global temperatures <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx36" id="paren.4"/>.</p>
      <p id="d2e181">During Polar night, Arctic mixed-phase clouds (MPC) exert a positive cloud radiative effect (CRE), enhancing surface warming and contributing to sea ice decline <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx7" id="paren.5"/>. The strength of this feedback depends on micro- and macro-physical cloud properties <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx60" id="paren.6"/>. As a result, improving the understanding of MPC's role in a changing Arctic – both in terms of their role in climate feedbacks and their representation in models – is a major research priority  <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx20 bib1.bibx61 bib1.bibx62 bib1.bibx47 bib1.bibx12" id="paren.7"/>.</p>
      <p id="d2e193">Recent studies highlight the importance of realistic cloud representation for simulating sea ice trend. <xref ref-type="bibr" rid="bib1.bibx5" id="text.8"/>, though focused on Antarctica, found that prescribing wind fields in climate models improves the simulation of sea ice and clouds variability compared to satellite observations. They emphasized that accurate cloud representation is crucial to capture the observed sea ice trends–challenge that current climate models still face. Large scale Pan-Arctic studies reveal contrasting cloud characteristics over sea ice versus open water: <xref ref-type="bibr" rid="bib1.bibx33" id="text.9"/> reported higher cloudiness frequency and geometric thickness of low level clouds over open ocean, while they found an increase of cloud geometrical thickness over open water. <xref ref-type="bibr" rid="bib1.bibx23" id="text.10"/> found that newly re-frozen sea ice areas can mitigate low level cloud development due to imbalanced heat and moisture fluxes. Furthermore, sea ice concentration (SIC) changes can alter the thermodynamic phase of wintertime MPC through convective heat transfer over leads and polynyas <xref ref-type="bibr" rid="bib1.bibx1" id="paren.11"/>. <xref ref-type="bibr" rid="bib1.bibx34" id="text.12"/> found more ice crystals in low-level clouds over sea ice than over open water, attributing this to surface-specific aerosol types. While sea ice leads are identified as main sources of sea spray aerosols, their emission rates and drivers remain poorly quantified <xref ref-type="bibr" rid="bib1.bibx21" id="paren.13"/>.</p>
      <p id="d2e215">Using synergistic atmospheric observations on-board the research vessel (RV) <italic>Polarstern</italic> during the year-long Multidisciplinary drifting Observatory for the Study of Arctic Climate MOSAiC expedition (2019–2020) <xref ref-type="bibr" rid="bib1.bibx57" id="paren.14"/>, <xref ref-type="bibr" rid="bib1.bibx44" id="text.15"/> proposed a physical mechanism linking local sea ice states in the vicinity of RV <italic>Polarstern</italic> to MPC properties above the ship. By leveraging a high-quality, high-resolution, satellite-derived sea ice lead fraction product specifically developed for MOSAiC along the RV <italic>Polarstern</italic> drifting path <xref ref-type="bibr" rid="bib1.bibx67" id="paren.16"/>, <xref ref-type="bibr" rid="bib1.bibx44" id="text.17"/> found that MPC properties – particularly liquid water path (LWP) – are positively correlated with upstream lead fraction when clouds are coupled to the sea ice leads via the water vapour transport (WVT). In contrast, ice water path (IWP) showed no significant correlation with lead fraction.</p>
      <p id="d2e241">Most prior studies linking MPC and sea ice rely on either large-scale or short-term observations, limiting their utility for climate model evaluation. While models can capture some aspects of MPC, they often fail to accurately represent thermodynamic phase and ice/liquid water path <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx35" id="paren.18"/>. Moreover, current climate models inadequately simulate how MPC properties evolve under a warming climate <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx29" id="paren.19"/>. Thus, long-term, high-quality observations are paramount for climate model validation. <xref ref-type="bibr" rid="bib1.bibx25" id="text.20"/> analysed over 20 years of multi-satellite data to estimate global liquid water path (LWP) trends over oceans, comparing them with CMIP5 models. Although their study excluded polar regions, their results are one of the few references for the long-term rate of change of LWP. They reported a positive LWP trends of about 1–2 g m<sup>−2</sup> per decade in the Southern Ocean and the North Pacific. They found that removing inter-annual variability, e.g. El Niño Southern Oscilation (ENSO), did not resolve model-observation discrepancies, suggesting ENSO is not the dominant driver–though other modes (e.g., Pacific Decanal Oscillation, PDO) may play a larger role.</p>
      <p id="d2e265">This brings up two questions: Firstly, can the MOSAiC-based findings of <xref ref-type="bibr" rid="bib1.bibx44" id="text.21"/> – derived from a single winter in the central Arctic – be confirmed using for long-term observations in the Western Arctic? Secondly, are Arctic MPC properties modulated by climate variability modes not evident in short-term studies? Answering these questions advances our understanding of ocean-sea ice-atmosphere interaction and their feedbacks on Arctic cloud properties, providing critical insights for improving MPC representation in weather and climate models. To address this, the present study applies the methodology of <xref ref-type="bibr" rid="bib1.bibx44" id="text.22"/> to 14 winter seasons (2011–2024) of wintertime MPC observations at the ARM North Slope of Alaska (NSA) site in the Western Arctic.</p>
      <p id="d2e274">The manuscript is structured as follows: Sect. <xref ref-type="sec" rid="Ch1.S2"/> details the measurement site, instrumentation, data processing, and analysis methods. Section <xref ref-type="sec" rid="Ch1.S3"/> presents results, including the modulation of MPC properties by sea ice conditions for the entire 14 years (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>), the year-to-year-variability (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>), and trends (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS3"/>), respectively. Section <xref ref-type="sec" rid="Ch1.S4.SS2.SSSx3"/> discusses these findings in the context of MOSAiC results and their implications. Supplement includes detailed descriptions of data availability, statistical methods, climatological analysis, nomenclature description, and ancillary results.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methodology</title>
      <p id="d2e298">The U.S. Department of Energy's Atmospheric Radiation Measurement (ARM) program (<uri>https://www.arm.gov/</uri>, last access: 9 May 2026.) provides long-term, high-quality observations for clouds and radiation at multiple sites around the world. For Arctic reseach, one of the few sources of quasi continuous, long-term observations is the ARM North Slope of Alaska (NSA) site, located in Utqiaǵvik, Alaska (71.323° N and 156.609° W), in the Western Arctic (Fig. <xref ref-type="fig" rid="F1"/>). In this study, we use 14  winter seasons (1 November to 30 April) of NSA site observations to characterize mixed-phase clouds (MPC) and investigate how their properties are influenced by upstream sea ice conditions. To this end, we adapt and apply the methodology developed by <xref ref-type="bibr" rid="bib1.bibx44" id="text.23"/>, hereafter referred to PSG23, to the ARM NSA site instrument suite, as described in the following section.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e311">ARM's North Slope of Alaska NSA site (red cross: 71.23° N, 156.61° W) in Utqiaǵvik, Alaska (top right inlet). Right-bottom colour scale indicates the AMSR2 sea ice concentration (SIC) from 19 January  2019. Red-dashed 50 km semi-circle marks the sub-sector around NSA site considered in this study. The coloured radial arrows depict the direction of <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> at selected times throughout the day for visualization purposes (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>) as observed above NSA site. AMSR2 data courtesy of JAXA.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f01.png"/>

      </fig>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>ARM atmospheric remote sensing instrumentation</title>
      <p id="d2e342">The primary instruments used to characterize MPC are the ARM Ka-band zenith-pointing cloud radar (KAZR), the Vaisala CL31 cloud ceilometer (lidar), and a dual-frequency microwave radiometer (MWR). Moreover, atmospheric boundary layer (ABL) parameters and thermodynamic states are estimated from synergy between the ground-based infrared radiometer (GND_IRT) and regular radiosondes launched from the NSA site. Table <xref ref-type="table" rid="T1"/> summarizes the instruments, relevant data products, spatial and temporal resolutions, and their corresponding references. A detailed timeline of data over the study period is provided in Fig. S14 (Sect. S4 in the Supplement). Additionally, satellite-derived sea ice observations are required to complement the atmospheric data for the application of the PSG23 method. The processing and merging of sea ice data with the atmospheric observations are explained in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e352">Specifications of instrumentation, data products and their references used for this study. VAP refers to ARM's Value Added Product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col6">NSA site observatory </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Instrument/VAP</oasis:entry>
         <oasis:entry colname="col2">Full name</oasis:entry>
         <oasis:entry colname="col3">Variables/Producs<sup>2</sup></oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">Resolution </oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">time</oasis:entry>
         <oasis:entry colname="col5">range</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MWR RET</oasis:entry>
         <oasis:entry colname="col2">passive microwave radiometer</oasis:entry>
         <oasis:entry colname="col3">LWP, IWV</oasis:entry>
         <oasis:entry colname="col4">1 s</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx69" id="text.24"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MWR LOS<sup>1</sup></oasis:entry>
         <oasis:entry colname="col2">passive microwave radiometer</oasis:entry>
         <oasis:entry colname="col3">LWP, IWV</oasis:entry>
         <oasis:entry colname="col4">1 s</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx3" id="text.25"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KAZR ARSCL</oasis:entry>
         <oasis:entry colname="col2">Ka-band cloud radar</oasis:entry>
         <oasis:entry colname="col3">Ze, <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, LDR</oasis:entry>
         <oasis:entry colname="col4">3 s</oasis:entry>
         <oasis:entry colname="col5">30 m</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx15" id="text.26"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KAZR CORRGE<sup>1</sup></oasis:entry>
         <oasis:entry colname="col2">Ka-band cloud radar</oasis:entry>
         <oasis:entry colname="col3">Ze, <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, LDR</oasis:entry>
         <oasis:entry colname="col4">3 s</oasis:entry>
         <oasis:entry colname="col5">30 m</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx65" id="text.27"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CEIL10m</oasis:entry>
         <oasis:entry colname="col2">Ceilometer 10 m</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>, CBH</oasis:entry>
         <oasis:entry colname="col4">16 s</oasis:entry>
         <oasis:entry colname="col5">10 m</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx70" id="text.28"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">INTERPSONDE</oasis:entry>
         <oasis:entry colname="col2">Interpolated Radiosonde</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M17" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="bold-italic">V</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1 min</oasis:entry>
         <oasis:entry colname="col5">20 m</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx14" id="text.29"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FLUXRAD</oasis:entry>
         <oasis:entry colname="col2">Down/upwelling longwave radiation</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>skin</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>i</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, PBLH</oasis:entry>
         <oasis:entry colname="col4">1 min</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx37" id="text.30"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GND_IRT<sup>1</sup></oasis:entry>
         <oasis:entry colname="col2">Ground Infrared Thermometer</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>skin</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>i</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, PBLH</oasis:entry>
         <oasis:entry colname="col4">1 min</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx53" id="text.31"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Space-borne sensor </oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AMSR2</oasis:entry>
         <oasis:entry colname="col2">region Chukchi-Beaufort</oasis:entry>
         <oasis:entry colname="col3">n3125 SIC</oasis:entry>
         <oasis:entry colname="col4">1 d</oasis:entry>
         <oasis:entry colname="col5">3.2 km</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx27" id="text.32"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AMSR2<sup>1</sup></oasis:entry>
         <oasis:entry colname="col2">region North West Passage</oasis:entry>
         <oasis:entry colname="col3">n3125 SIC</oasis:entry>
         <oasis:entry colname="col4">1 d</oasis:entry>
         <oasis:entry colname="col5">3.2 km</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx27" id="text.33"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">SSMIS17<sup>1</sup></oasis:entry>
         <oasis:entry colname="col2">region North West Passage</oasis:entry>
         <oasis:entry colname="col3">n3125 SIC</oasis:entry>
         <oasis:entry colname="col4">1 d</oasis:entry>
         <oasis:entry colname="col5">3.2 km</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx27" id="text.34"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">Ancillary data </oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ECMWF</oasis:entry>
         <oasis:entry colname="col2">Cloudnet Numerical Prediction</oasis:entry>
         <oasis:entry colname="col3">all</oasis:entry>
         <oasis:entry colname="col4">1 h</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx32" id="text.35"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">–</oasis:entry>
         <oasis:entry colname="col2">Arctic Oscillation index</oasis:entry>
         <oasis:entry colname="col3">AO</oasis:entry>
         <oasis:entry colname="col4">1 d</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx30" id="text.36"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">–</oasis:entry>
         <oasis:entry colname="col2">El Niño Southern Oscillation</oasis:entry>
         <oasis:entry colname="col3">ENSO</oasis:entry>
         <oasis:entry colname="col4">1 week</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx16" id="text.37"/>
                    </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">–</oasis:entry>
         <oasis:entry colname="col2">Pacific Decadal Oscillation</oasis:entry>
         <oasis:entry colname="col3">PDO</oasis:entry>
         <oasis:entry colname="col4">1 week</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">
                      <xref ref-type="bibr" rid="bib1.bibx17" id="text.38"/>
                    </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e355"><sup>1</sup> Used as alternative to reduce data gaps. <sup>2</sup> See Appendix <xref ref-type="sec" rid="App1.Ch1.S5"/> for full definition of acronyms.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Characterization of the cloudy atmosphere</title>
      <p id="d2e1020">Figure <xref ref-type="fig" rid="F2"/> illustrate the synergy of KAZR, ceilometer, and MWR observations for a case on 19 January 2019. These data, combined with thermodynamic profiles from the ECMWF numerical weather model <xref ref-type="bibr" rid="bib1.bibx32" id="paren.39"/> or radiosonde soundings, form the basis for classifying cloud thermodynamic phase and hydrometeor type. The retrieval algorithm used in this study is the state-of-the-art Cloudnet target classification algorithm <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx66" id="paren.40"/> version CloudnetPy 1.68.1 (Fig. <xref ref-type="fig" rid="F2"/>d). Since ARM data are not natively compatible with CloudnetPy, the raw instrumentation data (Table <xref ref-type="table" rid="T1"/>) were pre-processed and adapted to meet input requirements <xref ref-type="bibr" rid="bib1.bibx39" id="paren.41"/>. Beyond standard Cloudnet products, additional cloud and atmospheric properties are computed: atmospheric boundary layer height, cloud base and top heights, and cloud top temperature for each cloud layer. Readers are referred to PSG23 for details.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1041">Synergistic ground-based remote sensing observations at NSA on 19 January 2019. Ka-band cloud radar (KAZR) reflectivity factor <bold>(a)</bold>, ceilometer Vaisala CL31 attenuated backscattering coefficient <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <bold>(b)</bold>, dual-frequency MWR liquid water path <bold>(c)</bold>, Cloudnet target classification <bold>(d)</bold> with supercooled liquid (SCL) in blue.  Panels <bold>(a)</bold>, <bold>(b)</bold> and <bold>(d)</bold> include profiles of the ECMWF numerical weather prediction model horizontal wind vector (arrows) and temperature (isotherms).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f02.png"/>

        </fig>

      <p id="d2e1079">Accurate characterization of low-level Arctic stratus clouds is compromised when the liquid-containing cloud base lies below the radar's lowest detection range. As noted by <xref ref-type="bibr" rid="bib1.bibx9" id="text.42"/>, if the lidar signal is attenuated by a low-level liquid layer and no higher liquid layer is detected, Cloudnet classifies the entire profile as ice, leading a complete omission of LWP from the MWR (e.g., Fig. <xref ref-type="fig" rid="F2"/> 02:00–03:30 UTC). However, if a higher liquid layer is present, the MWR LWP is distributed accordingly. <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx10" id="text.43"/> report that for the MOSAiC expedition such low-level stratus cases occur in over 25 % of observation time, with higher frequency in summer than winter. At the NSA site, the lidar can detect liquid clouds down to 10 m altitude, whereas the KAZR has a lowest detection range of 160 m (ARSCL) and 100 m (CORRGE), respectively (see references in Table <xref ref-type="table" rid="T1"/>). The present study finds that low-level clouds below the radar's detection threshold (160 m for ARSCL, 100 m for CORRGE) account for approximately 26 % and 22.5 % of observations, respectively. To mitigate this limitation, the dataset is adjusted via a flat extrapolation of radar reflectivity down to the lidar's lowest liquid detection altitude (10 m) prior to cloud characterization.</p>
      <p id="d2e1093">A key limitation of the Cloudnet target classification algorithm is its reliance on valid lidar signal for liquid cloud detection. As shown in Fig. <xref ref-type="fig" rid="F2"/> (02:00–04:00 UTC), complete attenuation of the lidar signal by low-level liquid layers results in the misclassification of higher supercooled liquid layer as ice. Consequently, liquid water content is underestimated, and ice-only clouds are overestimated.  More advanced cloud radar Doppler spectra-based tools – such as those introduced by <xref ref-type="bibr" rid="bib1.bibx18" id="text.44"/> and <xref ref-type="bibr" rid="bib1.bibx48" id="text.45"/> – can detect liquid beyond lidar signal attenuation, but their application would require extensive retraining on the NSA dataset and significant computation resources, which are beyond the scope of this study. As a result, the Cloudnet derived MPC dataset used here exhibits a low bias in liquid-phase detection, while ice-only clouds are overestimated.</p>
      <p id="d2e1104">The Cloudnet processing chain – applied to 14 years of NSA data – forms the basis for a merged dataset of macro- and micro-physical cloud properties, combined with sea ice conditions (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). This approach follows <xref ref-type="bibr" rid="bib1.bibx42" id="text.46"/>, where MPC are retained only when both LWP and IWP exceed 5 g m<sup>−2</sup> in a single layer, minimizing uncertainties from retrieval algorithms due to instrument detection thresholds.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Characterization of sea ice conditions around NSA site</title>
      <p id="d2e1132">The PSG23 method originally used high-resolution (700 m) sea ice lead fraction (LF) derived from sea ice divergence from Synthetic Aperture Radar (SAR) satellite imagery specifically developed for the MOSAiC expedition <xref ref-type="bibr" rid="bib1.bibx67" id="paren.47"/>. However, such high-resolution LF products are not available for the multi-year NSA site observations. Instead, we use sea ice concentration (SIC) from the University of Bremen's publicly available satellite-based Arctic sea ice products (<uri>https://www.seaice.uni-bremen.de/start/</uri>, last access: 9 May 2026, e.g.  <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx27" id="altparen.48"/>) to characterize the ocean conditions surrounding the NSA site. The SIC product is retrieved from brightness temperatures measured by the Advanced Microwave Scanning Radiometer-2 (AMSR2) onboard the Global Change Observation Mission 1st GCOM-W1 satellite since autumn 2012. AMSR2 sea ice (ASI) provides daily SIC at 3.124 km polar stereographic grid resolution (see “Space-borne sensor” in Table <xref ref-type="table" rid="T1"/>) <xref ref-type="bibr" rid="bib1.bibx59" id="paren.49"/>. For this study, we use the “Chukchi-Beaufort” region (Fig. <xref ref-type="fig" rid="F1"/>), centred at the NSA site and covering the western and eastern part of the Chukchi and Beaufort Seas.  To identify the most relevant sea ice conditions for cloud interaction, we defined a 50 km radius semi-circular sector centred at NSA site (red dashed line in Fig. <xref ref-type="fig" rid="F1"/>) spanning azimuths from <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula> to 110°. This sector excludes the landward side (i.e. southerly inflow), ensuring that only clouds, with CTH <inline-formula><mml:math id="M31" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 3 km, advected from open or ice-covered ocean areas are considered. This exclusion removes <inline-formula><mml:math id="M32" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8.1 % of the data, corresponding to clouds originating from land.</p>
      <p id="d2e1178">The mean and standard deviation of SIC are used. SIC is assumed to follow a truncated normal distribution with lower and upper truncation limits of 0 % and 100 %, respectively. The PSG23 method further restricts analysis to a <inline-formula><mml:math id="M33" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3° conical sector extending from the NSA site outwards up to 50 km and aligned with the upwind direction <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of maximum vertical gradient of water vapour transport (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula>), as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>. The mean sea ice concentration within the conical sector is denoted by SIC, whereas the mean sea ice concentration over the full 50 km semi-circular sector is denoted as <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>⊙</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>). The annual differences between these two metrics are shown in Fig. S1 (Sect. S1.1 in the Supplement).</p>
      <p id="d2e1228">Between 2011 and 2025, the Chuckchi-Beafort region experienced several winters with extraordinary low SIC (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>≲</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> % in Figs. <xref ref-type="fig" rid="F3"/> and S1), including 2012/13, 2016/17, 2017/18, 2019/20, 2023/24, and 2024/25. These anomalies are likely linked to climatological variability and/or low latitude forcing. For example, <xref ref-type="bibr" rid="bib1.bibx71" id="text.50"/> found that increased frequency of atmospheric rivers in winter correlates with reduced sea ice in the Barents-Kara seas. Atmospheric rivers prevent the sea ice recovering from summer melt and from growing to the climatologically expected sea ice coverage in winter. For the Chukchi-Beaufort region (2011 to 2020), atmospheric river frequency (averaged over November to April) has maximum values of 5.3 % in 2018/19, with intermediate value (2.6 %) in 2013/14, 2014/15, and 2019/20, and a minimum value of 0.2 % in 2015/16 (personal communication with Pengfei Zahng on 13 February 2024). The wintertime 2018–2019, despite moderate atmospheric river activity, saw a less frequent but still noticeable <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>⊙</mml:mo></mml:msub><mml:mo>≲</mml:mo></mml:mrow></mml:math></inline-formula> 50 % (Fig. S1), likely due to anomalous warm ocean waters driven by southerly winds and episodic atmospheric blocking over the Bering Sea in September 2018 – directly observed by the RV <italic>Mirai</italic> Arctic Expedition in November 2018 <xref ref-type="bibr" rid="bib1.bibx19" id="paren.51"/>.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1269">Wintertime climatology for the NSA site as time series from 2011 to 2024 for: <bold>(a)</bold> 2 m air temperature, <bold>(b)</bold> surface atmospheric pressure, <bold>(c)</bold> average <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>⊙</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> within the whole 50 km semi-circle around NSA site, <bold>(d)</bold> standard deviation of <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>⊙</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(e)</bold> ENSO index, <bold>(f)</bold> PDO index. For visualization purposes the data is shown as weekly averages (circles), the solid black line is the weekly moving average. The vertical dashed lines indicate the jump from end of April to November, thus the apparent discontinuity at these lines is not physical. On the right of each panel the whole data distribution is shown as boxplot separated according to Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) for H- and L-pressure systems in light-red and light-blue, respectively.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Sea ice – atmosphere coupling via water vapour transport</title>
      <p id="d2e1329">Winter sea ice leads and polynyas act as localized sources of heat and moisture released to the atmosphere. Through convection and advection, these plumes can be transported downstream and influence cloud properties. To establish a physical link between sea ice and clouds, we apply the PSG23 methodology, using the water vapour transport (WVT) as a physical mechanism to link, akind a conveyor belt, the upstream sea ice conditions and the measured cloud properties above the NSA site <xref ref-type="bibr" rid="bib1.bibx44" id="paren.52"/>. WVT is derived from radiosonde profiles and represents the magnitude and direction of water vapour flux and consists of several bands of different magnitudes along the vertical profile.</p>
      <p id="d2e1335">The PSG23 method identifies the most relevant WVT layer using its vertical profile gradient (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> [kg m<sup>−2</sup> s<sup>−1</sup>]) within the planetary boundary layer height (PBLH). The PBLH is constrained when the bulk Richardson number <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>i</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. The vertical gradient of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> is calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>)  (a detailed derivation is given in <xref ref-type="bibr" rid="bib1.bibx44" id="altparen.53"/>).

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M46" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>|</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> indicates the vertical gradient, <inline-formula><mml:math id="M48" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the constant of gravity, with the specific humidity <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [g kg<sup>−1</sup>], horizontal wind speed <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [m s<sup>−1</sup>], and air pressure <inline-formula><mml:math id="M53" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> [Pa] at altitudes <inline-formula><mml:math id="M54" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> [m].</p>
      <p id="d2e1548">A cloud is classified as coupled (co) to the sea ice-WVT system if <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> has a local maximum within the cloud mixing layer – defined by the cumulative variance of virtual potential temperature <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from cloud base/top height downwards/upwards until a threshold is exceeded. Otherwise, the cloud is classified as decoupled (de).</p>
      <p id="d2e1575">Within the ASI grid cells a conical sector (<inline-formula><mml:math id="M57" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 3°) is aligned with the upwind direction at the altitude of maximum <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> (e.g., Fig. <xref ref-type="fig" rid="F1"/> where the radial arrows depict the direction of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> and their colour the magnitude). Only SIC values within this sector are used for analysis. At a given time the azimuth of the conical sector is governed by the upwind direction obtained from the altitude where <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> reaches its maximum. Southerly winds (landward flow) are excluded. Figure S1 highlight a critical distinction: sea ice conditions in the full semi-circular sector differ significantly from those in the upwind conical sector.  Thus, using large-scale SIC to infer cloud properties may lead to ill-posed correlations since not all sea ice conditions play a relevant role to explain observed cloud properties  (e.g. <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx22 bib1.bibx23" id="altparen.54"/>).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>NSA site atmospheric pressure systems and climatology</title>
      <p id="d2e1638">The NSA site climatology is influenced by the persistent cyclonic activity in the north-western Pacific Ocean and anticyclonic systems over the Beaufort/Chukchi seas <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx50" id="paren.55"/>. Surface pressure serves as a proxy for synoptic-scale high (H-) or low (L-) pressure systems over NSA site (Fig. <xref ref-type="fig" rid="F3"/>). Atmospheric air temperature and pressure are closely related to stability or instability in the atmosphere which strongly influences the formation of clouds. Local pressure systems are classified by the following steps: (i) a reference virtual isobaric surface <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is assumed to separate the H- or L-pressure observations, (ii) from the measured surface pressure and temperature, the relative height of the virtual isobar <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is determined. The relative height of <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is expressed in terms of geopotential height difference derived from the equation of state <xref ref-type="bibr" rid="bib1.bibx38" id="paren.56"/>:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M64" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>R</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>log⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M65" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the specific gas constant 287.05 J kg<sup>−1</sup> K<sup>−1</sup>, <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>g</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> the acceleration of gravity at the surface 9.81 m s<sup>−2</sup>, <inline-formula><mml:math id="M70" display="inline"><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> the mean temperature within the layer [K], <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> the reference isobar surface (in this case the mean sea level pressure of 101.32 k Pa), and <inline-formula><mml:math id="M72" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is the measured local surface pressure [kPa] at a given time. <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>Z</mml:mi></mml:mrow></mml:math></inline-formula> is negative for H-pressure systems (i.e. <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and positive for L-pressure (i.e. <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M76" display="inline"><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is assumed to be the measured 2 m air temperature, and its effect is to adjust the magnitude of <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>Z</mml:mi></mml:mrow></mml:math></inline-formula> when <inline-formula><mml:math id="M78" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> departures considerably from the reference <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1890">From 2011 to 2024, surface pressures at NSA were slightly biased towards H-pressure (median: 101.69 kPa; and Inter-Quantile Region (IQR): 100.95–102.50 kPa), with H-pressure systems occurring 56.3 % of the time and L-pressure systems 43.7 % of the time.  The distribution of <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>Z</mml:mi></mml:mrow></mml:math></inline-formula> differs significantly between coupled and decoupled cases: Coupled: median <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.45</mml:mn></mml:mrow></mml:math></inline-formula> m (IQR: <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">65.05</mml:mn></mml:mrow></mml:math></inline-formula> to 44.72 m); Decoupled: median -30.98 m (IQR: <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">86.95</mml:mn></mml:mrow></mml:math></inline-formula> to 18.74 m). This indicates that H-pressure systems favour decoupled cloud formation. Note that <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Z</mml:mi></mml:mrow></mml:math></inline-formula> reflects local conditions and does not replace synoptic-scale pressure systems from Western Arctic weather maps.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e1960">NSA site wintertime (1 November  to 30 April) observations from 2011 to 2024 were analysed in accordance with the methodology outlined in the previous sections. Results are presented after observations from the instruments listed in Table <xref ref-type="table" rid="T1"/> were resampled to a common 1 min time resolution and clustered by high (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Z</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and low (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Z</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) pressure weather systems, as well as by coupled (co), and decoupled (de) status. Wintertime cloud properties are reported using two approaches: as a function of SIC, following <xref ref-type="bibr" rid="bib1.bibx44" id="text.57"/> (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>), and as time series over the 14 years (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>). Descriptive statistics are presented using the median (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and variability quantified by the median absolute deviation (MAD) defined as <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>±</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">median</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:mfenced open="|" close="|"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mfenced></mml:mrow></mml:math></inline-formula>. Additional statistical descriptors include the geometric mean (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the 25th, and 75th percentiles. Unless otherwise specified, results are reported as <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>±</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. </p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Modulation of MPC properties as a function of SIC, coupling status, and pressure system</title>
      <p id="d2e2107">For the considered time period the cloud frequency of occurrence (FoO) were analysed. The total cloud FoO (Fig. <xref ref-type="fig" rid="F4"/>, left bars) remains approximately constant at <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % throughout the winter, with a dependency on SIC in the monthly distribution. For MPC (Fig. <xref ref-type="fig" rid="F4"/>, right bars) the FoO decreases from <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">56</mml:mn></mml:mrow></mml:math></inline-formula> % in November to <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % in April, with the largest contribution from SIC <inline-formula><mml:math id="M95" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 % occurring in January. Total cloud FoO (left bars) is derived from all observations with CTH <inline-formula><mml:math id="M96" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 3 km and either MWR-LWP <inline-formula><mml:math id="M97" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 g m<sup>−2</sup> or IWP <inline-formula><mml:math id="M99" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 g m<sup>−2</sup>, indicating detection of liquid or ice clouds. MPC occurrence is defined by simultaneous detection of liquid and ice by both MWR and radar. The persistent presence of SIC <inline-formula><mml:math id="M101" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 % in every month indicates the continuous occurrence of polynyas and leads during winter along the SIC semi-cone around the NSA site. It is important to note that the SIC values in Fig. <xref ref-type="fig" rid="F4"/> represent the average within a 50 km radius, 6° wide semi-cone, with the azimuth determined by direction of the maximum WVT.</p>
      <p id="d2e2207">The absolute values for total cloud and MPC are consistent with previous studies: <xref ref-type="bibr" rid="bib1.bibx56" id="text.58"/> reported an annual total cloud FoO of <inline-formula><mml:math id="M102" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 % at NSA, and <xref ref-type="bibr" rid="bib1.bibx55" id="text.59"/> reported a MPC FoO of <inline-formula><mml:math id="M103" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 % in fall.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e2232">FoO for total (left bars) and mixed-phase clouds (right bars) per month for wintertime from 2011 to 2025. The FoO is based on cloud events in a month versus total days in a month.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f04.png"/>

        </fig>

      <p id="d2e2242">To investigate the relationship between sea ice and cloud properties, the data were binned by SIC with bins centred at every 20th percentile. MPC properties are represented by the median <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and its MAD <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> within each SIC bin.  For the following analysis, MPC detection were restricted to cases with LWP and IWP above 5 g m<sup>−2</sup> to reduce noise from minimum detectable retrieval uncertainties, similar as in PSG23.</p>
      <p id="d2e2284">Figure <xref ref-type="fig" rid="F5"/> presents the liquid water path (LWP), cloud droplet effective radius <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, ice water path (IWP), and ice particle effective radius <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as functions of upwind sea ice concentration along <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>° of the maximum <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="monospace">WVT</mml:mi></mml:mrow></mml:math></inline-formula> direction. Observations under H-pressure systems are shown on the left (Fig. <xref ref-type="fig" rid="F5"/>a, c, e, g), and L-pressure on the right (Fig. <xref ref-type="fig" rid="F5"/>b, d, f, i). Coupled (blue-circles) and decoupled (orange triangles) cases are indicated, with data points from the same SIC bin offset by <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> % for clarity.</p>
      <p id="d2e2349">To describe the data behaviour, the best fit empirical model is shown as solid coloured lines, with the 95 % confidence interval (CI) shaded around them. The coefficient of determination <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and goodness-of-fit <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> are provided for coupled (blue) and decoupled (orange) cases, as defined in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>, Eqs. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E6"/>) and (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E5"/>), respectively.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2382">Cloud microphysical properties as a function of SIC (for SIC <inline-formula><mml:math id="M114" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5 %) for coupled (blue circles) and decoupled (orange triangles) classes during the wintertime period from 2012 to 2024. H-/L-pressure systems are arranged on the left/right columns, respectively. Liquid water path <bold>(a, b)</bold>; droplet effective radius <bold>(c, d)</bold>; ice water path <bold>(e, f)</bold>; ice effective radius <bold>(g, i)</bold>. Symbols/bars represent the median<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for the distribution within SIC bins of every 20th percentile. Lines indicate the best fit with 95 % confidence interval (CI) shading around the solid lines. The <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> are the best fit indicators for the model Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) for coupled/decoupled. Note that <inline-formula><mml:math id="M118" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis ticks and labels are not equidistant.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f05.png"/>

        </fig>

      <p id="d2e2457">The results in Fig. <xref ref-type="fig" rid="F5"/> reveal that several microphysical cloud properties increase in magnitude as SIC decreases. The best-fitting empirical model is given by Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>), which asymptotically approaches <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as SIC <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>→</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:math></inline-formula>0 %. This empirical model was specifically optimized for coupled cases; thus, poor fits for decoupled cases highlight differences between coupling regimes. For decoupled cases, only few cloud properties show a clear relationship with SIC, and many variables exhibit no significant correlation.

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M121" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="script">F</mml:mi><mml:mi mathvariant="normal">var</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mtext>sic</mml:mtext><mml:mo>;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="bold-italic">β</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msup><mml:mtext>sic</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mtext>sic</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>∈</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula> is normalized sea ice concentration,  <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="script">F</mml:mi><mml:mtext>var</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the observed cloud property (e.g. LWP, IWP, droplet <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, ice particle <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are empirically derived coefficients from non-linear curve fitting. Equation (<xref ref-type="disp-formula" rid="Ch1.E3"/>) was preferred over the power-law form <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi mathvariant="script">F</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>a</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">SIC</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> (PSG23) because the MOSAiC wintertime observations were predominantly above 90 % SIC, whereas this study spans SIC observations from 0 % to 100 % over 14 years, providing a more complete picture of cloud properties sensitive to SIC.</p>
      <p id="d2e2646">Specifically, Fig. <xref ref-type="fig" rid="F5"/> panels (a) and (b) reveal a clear increase in LWP with decreasing SIC in coupled cases (blue circles), levelling off at a median of <inline-formula><mml:math id="M129" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 to 120 g m<sup>−2</sup> for SIC <inline-formula><mml:math id="M131" display="inline"><mml:mo>≲</mml:mo></mml:math></inline-formula> 30 %. When the observations are sorted according to weather system, the fit to Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) is better for H-pressure cases (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>) than for L-pressure cases (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.80</mml:mn></mml:mrow></mml:math></inline-formula> but <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula>). For L-pressure, LWP exhibits higher variability, resulting in larger uncertainties in <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) (wider shaded CI in Fig. <xref ref-type="fig" rid="F5"/>b), particularly due to outliers near 90 % SIC–80 % SIC. The decoupled LWP behaviour (orange triangles), align with <xref ref-type="bibr" rid="bib1.bibx44" id="text.60"/>, confirming no significant relationship with SIC. This is supported by reduced <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.51 (H-pressure) and 0.52 (L-pressure). Similarly, droplet effective radius (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="F5"/>c and d shows a strong negative correlation with SIC in coupled cases, but no significant relationship in decoupled cases.</p>
      <p id="d2e2794">Regarding IWP (Fig. <xref ref-type="fig" rid="F5"/>e and f) no consistent change with SIC is observed in general. However, coupled cases show a strong positive correlation with decreasing SIC, particularly under H-pressure systems (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula>). Decoupled cases show no statistically significant difference changes with SIC. These findings are consistent with pan-Arctic satellite observations by <xref ref-type="bibr" rid="bib1.bibx4" id="text.61"/>, who reported a negative correlation between SIC and ice cloud cover, and mixed-phase cloud cover, though differences in spatial and temporal scales exist.</p>
      <p id="d2e2817">For ice effective radius (Ice <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F5"/>g and i), a significant relationship with SIC is observed in coupled cases (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.65</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula> for H- and L-pressure cases), though the magnitude of change is smaller than for droplet <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In decoupled cases, a similar trend is observed but with greater scatter, reducing <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> to 0.24 for H-pressure systems. Notably, all MPC macro- and micro-physical properties are systematically lower in decoupled cases compares to their coupled counterparts.</p>
      <p id="d2e2894">Key MPC macrophysical properties are displayed in Fig. <xref ref-type="fig" rid="F6"/>: Cloud geometrical depth (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:math></inline-formula>CTH – CBH; Fig. <xref ref-type="fig" rid="F6"/>a and b), liquid layer cloud base height (CBH; Fig. <xref ref-type="fig" rid="F6"/>c and d), cloud top temperature (CTT; Fig. <xref ref-type="fig" rid="F6"/>e and f), and cloud-layer temperature lapse-rate (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="F6"/>g and i).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2936">Same as Fig. <xref ref-type="fig" rid="F5"/> but for cloud depth <bold>(a, b)</bold>; liquid layer cloud base height <bold>(c, d)</bold>; cloud top temperature <bold>(e, f)</bold>; cloud layer temperature lapse-rate <bold>(g, i)</bold>. Symbols (bars) represent the distribution's median (<inline-formula><mml:math id="M148" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> MAD) for SIC bin widths at every 20th percentile.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f06.png"/>

        </fig>

      <p id="d2e2968">For decoupled MPC, no clear correlation with SIC is evident. This is reflected in low <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values (0.38 for <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, 0.15 for CBH) under H-pressure systems. In contrast, coupled cases  show a clear decrease in <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with decreasing SIC (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>), indicating shallower clouds. These results confirm findings from the MOSAiC expedition: coupled MPC are generally thicker and have lower CBH than decoupled cases, independent of SIC – except for higher liquid CBH in coupled cases under H-pressure systems.</p>
      <p id="d2e3019">CTT (Fig. <xref ref-type="fig" rid="F6"/>e and f) shows significant differences between coupled and decoupled cases, with a noticeable dependency on SIC: colder CTT for sea ice-covered ocean and warmer CTT over regions with open water. The model (Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) fits decoupled cases better (<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula> and H-pressure) than coupled cases (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>). Coupled cases generally exhibit slightly higher CTT than decoupled cases.</p>
      <p id="d2e3056">The cloud-layer temperature lapse-rate (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">CBH</mml:mi></mml:mrow><mml:mi mathvariant="normal">CTH</mml:mi></mml:msubsup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>z</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mrow><mml:mi>z</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula>) is the only macrophysical property that showed pronounced modulation by SIC (Fig. <xref ref-type="fig" rid="F6"/>g and i). Decoupled cases show systematically larger <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values than coupled cases. The empirical model (Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) fits the data with a robust coefficient of determination of <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> for the L-pressure and coupled cases. For H-pressure and L-pressure systems with SIC <inline-formula><mml:math id="M159" display="inline"><mml:mo>≳</mml:mo></mml:math></inline-formula> 95 %, the median <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (blue dots in Fig. <xref ref-type="fig" rid="F6"/>g and i SIC <inline-formula><mml:math id="M161" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 %) shows that approximately half of the distribution is negative – indicating a temperature inversion within the cloud layer (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). As SIC decreases (e.g. SIC <inline-formula><mml:math id="M163" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 95 %), <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> becomes clearly positive (i.e. <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">top</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), indicating cooling with height and a tendency towards a moist adiabatic lapse-rate.</p>
      <p id="d2e3255">The results suggesting an apparent contradiction that shallower clouds with increasing LWP and IWP as SIC decreases, is resolved by the concurrent increase in liquid- and ice <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>c, d, g, i). Furthermore, surface air temperature (T2m) shows a positive correlation with several micro- and micro-physical properties, particularly in coupled cases. The physical explanation for the observed increase in LWP and IWP with the decrease of SIC (i.e. warmer surface) lies in enhanced latent and sensible heat fluxes from sea ice openings, which promote convection and sea salt aerosol release. When coupled to clouds, this drives increased cloud water content. These findings align with in-situ measurements in Svalbard, which suggesting that a warming Arctic enhances ice nucleating particles, enabling formation of ice-containing clouds at warmer temperatures <xref ref-type="bibr" rid="bib1.bibx64" id="paren.62"/>. Similarly, <xref ref-type="bibr" rid="bib1.bibx46" id="text.63"/> found in Arctic MPC simulations that a warming climate increases cloud ice water content via enhanced ice-nucleating particles and secondary ice production (e.g. rime splintering).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Year-to-year variability and trends</title>
      <p id="d2e3285">MPC properties are analysed as a time series across 14 years wintertime (WT) seasons <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi mathvariant="normal">WT</mml:mi><mml:mo>=</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">2011</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2012</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2024</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula>, with each data point representing descriptive statistics (median, MAD) from observations within a given WT (e.g. “2012/13” <inline-formula><mml:math id="M168" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 November 2012 to 30 April 2013). No SIC-based separation is applied here.</p>
      <p id="d2e3336">A first attempt to analyse MPC time series observations at NSA site has been reported by <xref ref-type="bibr" rid="bib1.bibx43" id="text.64"/>. They previously analysed a 10 year subset of coupled<inline-formula><mml:math id="M169" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>decoupled MPC at NSA site, reporting the oscillatory nature of some MPC properties with time but no statistically significant trends using Ordinary Linear Regression (OLR). However, OLR is limited by two major shortcomings: i.e. heteroskedasticity (increased variance with higher median values) and residuals' bias with skewed distributions due to oscillatory signals – e.g. a local maximum LWP was found at 2016/17 between two local minima in 2013/2014 and 2018/2019 – violating OLR's assumption of normally distributed residuals.</p>
      <p id="d2e3349">To address these shortcomings, two robust methods are applied, both using weighted linear regression (WLR) with weights inversely proportional to the variance (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>) within wintertime <xref ref-type="bibr" rid="bib1.bibx6" id="paren.65"/>: <list list-type="custom"><list-item><label>i.</label>
      <p id="d2e3359">A 10 year running window smooths the time series (e.g. 2016/17 averaged over <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> winters), then a weighted linear regression is applied. This reduces noise and mitigates heteroskedasticity.</p></list-item><list-item><label>ii.</label>
      <p id="d2e3373">The signal is modelled as following a natural cycle with a frequency occurring within the 14 years period. A fixed frequency <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [yr<sup>−1</sup>] is applied to fit the data via non-linear regression following Eq. (4).</p></list-item></list> Both methods use weighted regression to account for varying cloud properties within a wintertime variability. The time series WLR fitting model to be applied for the methods <italic>i</italic> and <italic>ii</italic> are given by:

            <disp-formula id="Ch1.Ex1"><mml:math id="M173" display="block"><mml:mrow><mml:mi mathvariant="script">Y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold-italic">β</mml:mi><mml:mo>)</mml:mo><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left right"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mspace width="2em" linebreak="nobreak"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mi mathvariant="normal">method</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>i</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="normal">a</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>cos⁡</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd><mml:mtd/></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mspace width="2em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">method</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>i</mml:mi><mml:mi>i</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="normal">b</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi mathvariant="script">Y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>;</mml:mo><mml:mi mathvariant="bold-italic">β</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the time dependent cloud parameter (e.g. LWP, IWP, cloud droplet/ice particle <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, etc.). In Eq. (4), <inline-formula><mml:math id="M176" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> runs over the sequence of wintertime WT and the coefficient to fit is denoted by the vector <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> represents the model residuals. In both Eq. (4a, b) the time series trend is determined from <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="script">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>≡</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. For Eq. (4b), <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the dominant frequency of the oscillating signal with phase shift <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Note that in Eq. (4b), <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is not determined by the regression but rather a so-called “free parameter”. <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is obtained from an external source; the selection of this free parameter is presented in detail later in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/>.</p>
      <p id="d2e3712">The results are presented in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS1"/> (method <italic>i</italic>) and Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/> (method <italic>ii</italic>), followed by a comparative analysis.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Method <italic>i</italic>: Trend estimation using moving-average time series</title>
      <p id="d2e3737">After smoothing the MPC time series with 10 year moving average, data are fitted to Eq. (4a) using WLR. The trend is derived from the fitted coefficient <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and the results are sorted by the cloud coupling class and pressure system at NSA site.</p>
      <p id="d2e3751">Figure <xref ref-type="fig" rid="F7"/> depicts the time series of selected MPC properties that exhibit the largest variability along the years: LWP, liquid CBH and CTT. Coupled (blue circles), and decoupled (orange triangles) case are separated by pressure system. LWP exhibits strong inter-annual variability. Coupled LWP shows significant positive trends: <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade under H-pressure and <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">24.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade under L-pressure (Fig. <xref ref-type="fig" rid="F7"/>a and b). Decoupled LWP remains lower overall and displays higher stochastic variability, resulting in a less pronounced and negative trend of <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade under L-pressure. </p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3840">MPC time series for coupled (blue circles) and decoupled (orange triangles) represented by the median (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (bars) of wintertime distributions. H-pressure (left column) and L-pressure (right column) for LWP <bold>(a, b)</bold>, liquid layer CBH <bold>(c, d)</bold>, and cloud top temperature <bold>(e, f)</bold>. The linear trends (<inline-formula><mml:math id="M193" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> uncertainty) are indicated with the solid lines (shared area is 95 % confidence interval) and trend values in units per decade, the coefficient of determination <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> are presented in legend.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f07.png"/>

          </fig>

      <p id="d2e3916">Liquid layer CBH also shows clear trends (Fig. <xref ref-type="fig" rid="F7"/>c and d). Under H-pressure, both coupled and decoupled CBH increase at similar rates (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">54.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">54.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> m per decade, respectively). Under L-pressure, trends reverse: coupled CBH shows small change (<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> m per decade), while decoupled CBH decrease sharply (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">134.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> m per decade).</p>
      <p id="d2e3977">CTT (Fig. <xref ref-type="fig" rid="F7"/>e and f) shows no significant difference between coupled and decoupled cases, consistent with Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>. In general, CTT median values slightly decrease over time, with the strongest reduction under H-pressure and coupled cases (trend: <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> K per decade), and the weakest (non-significant) trend under L-pressure and decoupled cases (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> K per decade).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Method <italic>ii</italic>: Trends estimation considering cyclical time series</title>
      <p id="d2e4024">Given the oscillatory nature of MPC time series – first reported by <xref ref-type="bibr" rid="bib1.bibx43" id="text.66"/>–, we hypothesize that these oscillations are driven by intra-decadal climate variability. Climate teleconnections can influence Arctic sea ice formation/melting, thereby modulating MPC properties, as shown in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>. This suggest that observed MPC fluctuations may be linked to large-scale climate modes. The hypothesis is supported by two lines of evidence: Firsty, extensive literature confirms climate teleconnections between Tropical Pacific, sub-tropical regions and the Arctic <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx19 bib1.bibx71 bib1.bibx8 bib1.bibx73" id="paren.67"/>; and secondly, MPC time series (e.g. LWP, CTT, <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and CBH) exhibit patterns resembling ENSO or PDO cycles – e.g., LWP peaks align with strong El Niño events (positive ENSO in 2016 and 2023), and minima with La Niña events (negative ENSO in 2020 to 2022), with phase shift and amplitude differences across MPC variables.</p>
      <p id="d2e4046">To test this, we consider three major climate indices: Arctic Oscillation (AO), PDO, and ENSO. The free parameter <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (frequency of signal in Eq. 4b) is selected from relevant harmonics of these indices, identified via discrete Fourier analysis performed over the ENSO, PDO and AO signals (details in Appendix <xref ref-type="sec" rid="App1.Ch1.S4"/>). Only frequencies with Fourier amplitudes larger than 100 were considered (red triangles over the <inline-formula><mml:math id="M204" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis of Fig. <xref ref-type="fig" rid="FD1"/>c in Appendix <xref ref-type="sec" rid="App1.Ch1.S4"/>): <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>={0.093, 0.155, 0.186, 0.217, 0.248, 0.279, 0.341, 0.434} yr<sup>−1</sup>, corresponding to periods of {10.8, 6.5, 5.4, 4.6, 4.0, 3.6, 2.9, 2.3} yr – consistent with know climate modes e.g., 2.8, 4.3, and 5.7 yr for AO; 12 yr for ENSO; <xref ref-type="bibr" rid="bib1.bibx72" id="paren.68"/>. All <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are common harmonics for ENSO, PDO and AO, though with varying levels of contributions. For each <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the time series are fitted to Eq.  (4b), and three goodness of fit metrics are calculated: <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, coefficient of determination <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and the normalized root mean square error <inline-formula><mml:math id="M211" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE. The optimal <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is selected via a cost function (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E8"/>) minimizing <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE while maximizing <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/> and Fig. <xref ref-type="fig" rid="FA1"/> for example).</p>
      <p id="d2e4199">The time series of MPC properties fitted to Eq. (4b) to obtain the coefficients <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="bold-italic">β</mml:mi></mml:math></inline-formula> are shown in Fig. <xref ref-type="fig" rid="F8"/> for H-pressure systems; L-pressure results are in Appendix Fig. <xref ref-type="fig" rid="FB1"/>. The best-fit frequency (<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in legend) and corresponding <inline-formula><mml:math id="M218" display="inline"><mml:mi mathvariant="bold-italic">β</mml:mi></mml:math></inline-formula> coefficients (dashed lines in Fig. <xref ref-type="fig" rid="F8"/>) represent the optimal model.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4237">Same as in Fig. <xref ref-type="fig" rid="F7"/> but applying method <italic>ii</italic> for H-pressure systems. With LWP <bold>(a)</bold> and <bold>(b)</bold>, liquid layer CBH <bold>(c, d)</bold>, and CTT <bold>(e, f)</bold>. Left column panels <bold>(a, c, e)</bold> show decoupled MPC (orange triangles) cases and right column <bold>(b, d, f)</bold> coupled MPC cases (blue circles). The best fit curves are dashed-lines and linear trends are the solid lines (shared area is 95 % CI). The goodness of fit coefficient <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, the period of the cyclical curve <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and trend values, in units per decade, are indicated in legend.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f08.png"/>

          </fig>

      <p id="d2e4297">Under H-pressure systems: <list list-type="bullet"><list-item>
      <p id="d2e4302">Decoupled LWP best fit by a 6.5 yr cycle (linked to AO/DPO), yielding a weak negative trend (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade).</p></list-item><list-item>
      <p id="d2e4332">Coupled LWP follows a 10.8 year cycle (strongly tided to ENSO/PDO), with a significant positive trend (<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade).</p></list-item></list></p>
      <p id="d2e4361">For liquid cloud base height (CBH; Fig. <xref ref-type="fig" rid="F8"/>c and d): <list list-type="bullet"><list-item>
      <p id="d2e4368">Decoupled CBH fits a 3.6 year cycle, with a trend of <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">228.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> m per decade.</p></list-item><list-item>
      <p id="d2e4386">Coupled CBH fits a 6.5 year cycle, with a trend of <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">119.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> m per decade.</p></list-item></list> Cloud top temperature CTT (Fig. <xref ref-type="fig" rid="F8"/> e and f) shows slightly positive, non-significant trends (decoupled: <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> K per decade, and coupled: <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> K per decade)), best fit by 10.8 year (ENSO/PDO) and 5.4 year (ENSO) cycles, respectively. The 5.4 year cycle is the predominant intra-decadal ENSO signal and second strongest for PDO, but absent in AO (Appendix <xref ref-type="sec" rid="App1.Ch1.S4"/>).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Comparison of trends obtained by the two methods</title>
      <p id="d2e4445">Trends were estimated for all SIC <inline-formula><mml:math id="M229" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 %, and separately for the lower and upper 50th percentiles of SIC: SIC <inline-formula><mml:math id="M230" display="inline"><mml:mo>∈</mml:mo></mml:math></inline-formula> {(0, 95], (95, 100]} %. The notation (0, 95], indicates data with 0 % <inline-formula><mml:math id="M231" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> SIC <inline-formula><mml:math id="M232" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 95 %.  Results are summarized in Fig. <xref ref-type="fig" rid="F9"/>, where “All” refers to the full SIC range (Figs. <xref ref-type="fig" rid="F7"/> and <xref ref-type="fig" rid="F8"/>).</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e4485">LWP trends for SIC subsets as indicated in the abscissae. The hollow symbols indicate the trend using method <italic>i</italic> (Eq. 4a), coloured symbols show results using method <italic>ii</italic> (Eq. 4b), grey shadows behind symbols indicate the trend is statistically significant (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), and the number next to the coloured symbols are the period in years for the best fit Eq. (4b). The colour bar represents the goodness of fit <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value. MPC observed in the presence of H-pressure systems in panel <bold>(a)</bold> and <bold>(c)</bold> for coupled and decoupled cases, respectively. MPC in the presence of L-pressure systems in panels <bold>(b)</bold> and <bold>(d)</bold> for coupled (upper row) and decoupled (lower row) cases, respectively.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f09.png"/>

          </fig>

      <p id="d2e4536">Coupled cases are shown in the top row Fig. <xref ref-type="fig" rid="F9"/>a and b, decoupled in the bottom row (c and d). Hollow symbols represent method <italic>i</italic> (moving average WLR); coloured symbols denote method <italic>ii</italic> (harmonic fit), where the colour indicates <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (the lower <inline-formula><mml:math id="M236" display="inline"><mml:mo>≡</mml:mo></mml:math></inline-formula> better fit). The period of best fit <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> in Eq. (4b) is labeled next to each coloured symbol.</p>
      <p id="d2e4583">For coupled MPC-LWP, both methods agree well, especially under SIC <inline-formula><mml:math id="M238" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 %. For SIC <inline-formula><mml:math id="M239" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 95 %, discrepancies emerge: trends reach <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> (method <italic>i</italic>) and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">86</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade  (method <italic>ii</italic>) under L-pressure in the lower 50th percentile SIC. Most coupled LWP trends align with PDO/ENSO periods (4.6, 5.4, and 10.8 years).</p>
      <p id="d2e4643">In contrast, decoupled MPC-LWP shows high variability. Under H-pressure, method <italic>ii</italic> reveals a reversal in trend sign with increasing SIC – positive at low SIC, negative at high SIC. Under L-pressure, both methods yield slightly negative trends (Fig. <xref ref-type="fig" rid="F9"/>d). Oscillations are dominated by AO and ENSO (i.e. 2.3, 2.9, 4.0, 6.5 years), with shorter periods than for coupled cases.</p>
      <p id="d2e4651">For ice properties, IWP in coupled clouds shows no significant trend under L-pressure (method <italic>i</italic>), nor does ice effective radius (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Fig. S2b, c, d). However, method <italic>ii</italic> reveals a significant positive IWP trend under L-pressure (2.9 years ENSO cycle, Fig. S5b) and H-pressure (10.8 years ENSO/PDO cycle, (Fig. S4b). This suggests that cloud responses are driven by weather patterns and warm-air intrusions from lower latitudes – consistent with finding by <xref ref-type="bibr" rid="bib1.bibx4" id="text.69"/> in the Bearing Sea using satellite observations.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e4684">The main objective of this study is to extend and validate our understanding of the physical link between Arctic sea ice conditions and mixed-phase cloud (MPC) properties – originally established for data obtained at the MOSAiC expedition in the Central Arctic – to 14 years of multi-sensor observations from the ARM North Slope of Alaska (NSA) site in the Western Arctic. This is achieved by two approaches: first, by applying the PSG23 method developed for wintertime observations during MOSAiC to multi-year observations at the NSA site (in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>); and second, by performing a multi-year time series analysis of the MPC properties (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>). In the following, results are set into context with the MOSAiC expedition, and the long-term time series analysis.</p>
<sec id="Ch1.S4.SS2.SSSx1" specific-use="unnumbered">
  <title>On the MPC properties modulated as a function of SIC, coupling status, and pressure system</title>
      <p id="d2e4696">Section <xref ref-type="sec" rid="Ch1.S3.SS1"/> along with Figs. <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F6"/> are only partially comparable to the findings reported by PSG23 for the MOSAiC expedition. This is because the MOSAiC study mainly relies on the sea ice lead fraction (LF) to represent the sea ice states. For the present study, long-term and continues LF data are not available. Furthermore, SIC MOSAiC winter was above 90 %, in contrast to NSA site observations during the 14 years where a larger variation in SIC was covered. Keeping these caveats in mind, the following phenomena reported by <xref ref-type="bibr" rid="bib1.bibx44" id="text.70"/> can be confirmed: <list list-type="bullet"><list-item>
      <p id="d2e4710">LWP of coupled clouds increases as the sea ice states trend to larger openings, whereas LWP of decoupled clouds has no relationship with SIC. The present study confirms MOSAiC findings and extends its validity for SIC as low as 5 %.</p></list-item><list-item>
      <p id="d2e4714">Cloud layers for coupled cases are thicker and have a lower liquid layer base height than the decoupled cases.</p></list-item><list-item>
      <p id="d2e4718">For coupled cases with SIC <inline-formula><mml:math id="M244" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 %, cloud layer temperature lapse-rate (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) ranges from negative to positive values, whereas decoupled cases show a distribution predominantly above zero. For SIC <inline-formula><mml:math id="M246" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 95 %, <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases with increasing sea ice opening, regardless  of coupling status.</p></list-item></list></p>
      <p id="d2e4757">Conversely, new findings that the study from the MOSAiC expedition did not conclude can be summarized as follows: <list list-type="bullet"><list-item>
      <p id="d2e4762">Under L-pressure systems and for all SIC, coupled clouds have a lower liquid cloud base height than decoupled clouds. This difference is only evident for H-pressure systems when SIC <inline-formula><mml:math id="M248" display="inline"><mml:mo>≳</mml:mo></mml:math></inline-formula> 95 %.</p></list-item><list-item>
      <p id="d2e4773">A negative relationship between IWP and SIC was found, albeit only for coupled MPC.</p></list-item><list-item>
      <p id="d2e4777">The liquid and ice effective radii (<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), which <xref ref-type="bibr" rid="bib1.bibx44" id="text.71"/> reported for MOSAiC showed no clear difference when sorted by coupling status or lead fraction, were found to exhibit a strong dependence on SIC in coupled cases. Specifically, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased with decreasing SIC.</p></list-item><list-item>
      <p id="d2e4806">For coupled MPC, a negative <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (in-cloud temperature inversion) is possible at SIC <inline-formula><mml:math id="M252" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 %. At lower SIC, <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> shows a tendency toward a moist adiabatic lapse-rate. Decoupled cases consistently exhibit a moist adiabatic lapse-rate, with increasing magnitude as SIC decreases-particularly under L-pressure systems.</p></list-item></list></p>
</sec>
<sec id="Ch1.S4.SS2.SSSx2" specific-use="unnumbered">
  <title>On the long-term trends of MPC properties</title>
      <p id="d2e4848">Two trend estimation methodologies highlight method-dependent biases. Method <italic>i</italic>, a standard approach for stochastic periodic signals, is sensitive to edge effects and moving window width. Disagreements arise, particularly in L-pressure decoupled LWP trends: method <italic>i</italic> shows a decline of <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade, while method <italic>ii</italic> indicates a slight increase of <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade. This discrepancy stems from Method <italic>i</italic>'s fixed window size, which over-smooth the data, whereas method <italic>ii</italic> captures a dominant 6.5 years cycle -shorter than the 10 years window- leading to more accurate trend representation.</p>
      <p id="d2e4919">Disagreement also occurs for the liquid cloud base height of decoupled MPC. Method <italic>i</italic> detects a trend of <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">54.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> m per decade, while method <italic>ii</italic> reveals a negative trend of <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">228.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> m per decade – both statistically significant. Figure <xref ref-type="fig" rid="F8"/>c shows how method <italic>ii</italic> captures a periodic signal of <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula> years, which better fits the low CBH values observed during negative ENSO phases (e.g. 2018/19, 2022/23), whereas method <italic>i</italic> effectively suppresses these short-term variations.</p>
      <p id="d2e4975">Both methods agree on IWP trends under H-pressure, showing coupled case trends of <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade (method <italic>i</italic>) and <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> g m<sup>−2</sup> per decade (method <italic>ii</italic>) with a 10.8 year period characteristic for ENSO and PDO (Sect. S2.2).</p>
      <p id="d2e5037">Based on time series of surface skin temperature as indicator of coupled clouds radiative feedback, we found that a continuing warming in the Western Arctic can only be attributed to L-pressure systems associated with observations under SIC <inline-formula><mml:math id="M265" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 95 %. In contrast, under H-pressure systems and SIC <inline-formula><mml:math id="M266" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 95 %, our results show a decrease in cloud radiative-induced surface temperature.</p>
      <p id="d2e5055">Hypothesizing the influence of climate modes on MPC variability, we fit the data to Eq. (4b) with one relevant harmonic as a free parameter <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The NSA site time series are best explained by ENSO's 5.4 and 10.8 years, PDO's 6.5 and 10.8 years, and AO's 2.3 and 2.9 year periods. ENSO and PDO (10.8, 5.4 year) dominate most MPC parameters, with AO (2.3, 2.9 year) and PDO (6.5 year) as secondary contributions. Decoupled MPC under H-pressure varies on intermediate periods (3.6, 4.0, 5.4 years), while coupled MPC shows longer cycles (6.5, 10.8 years). Under L-pressure, decoupled MPC oscillates at 2.3 to 6.5 years, and coupled MPC at 2.9, and 10.8 years, depending on the specific MPC property.</p>
</sec>
<sec id="Ch1.S4.SS2.SSSx3" specific-use="unnumbered">
  <title>Discussion</title>
      <p id="d2e5075">The MOSAiC's derived distinction between coupled and decoupled MPCs, based on water vapour transport-sea ice interaction, is confirmed at the NSA site. The multi-year NSA dataset further enabled the assessment of the influence of atmospheric pressure systems. Results show that MPC properties depend not only on coupling status but also on the prevailing weather pressure system. Under L-pressure systems, coupled LWP, cloud top temperature, and liquid layer base height exhibit positive long-term trends. In contrast, decoupled cases show no significant trend in LWP or CTT, while liquid layer base height was found to decrease. Under H-pressure systems, similar directional trends are observed, albeit with differing magnitudes.</p>
      <p id="d2e5078">A limitation of this study is that the current remote sensing capabilities at the NSA site do not provide vertical distribution of aerosols, which hinders the investigation of marine aerosol effects on LWP and IWP in conjunction to SIC changes. Moreover, only the local atmospheric pressure has been used to assess the relevant pressure system for NSA site, which does not necessary represent meso-scale synoptic weather pattern for the western Arctic.</p>
      <p id="d2e5081">This study uses empirical mathematical models derived from long-term observations to parameterize atmospheric boundary layer MPC ascribed to Arctic sea ice conditions; revealing that MPC properties are strongly modulated by sea ice concentration, cloud coupling status, atmospheric pressure systems, and intra-decadal climate variability – providing  critical constraints for improving cloud and climate model representation. We argue that MPC in Arctic climate models need to capture the complexity revealed here – beyond small-scale horizontal moist air mass transport linking sea ice leads to downstream clouds – by incorporating weather patterns, large-scale circulation, intra- and multi-decadal climate oscillations, and Arctic-lower latitude teleconnections. Recent studies highlight the implications of this complexity for decadal climate predictability <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx26 bib1.bibx5" id="paren.72"/>, with similar findings reported by <xref ref-type="bibr" rid="bib1.bibx24" id="text.73"/>, who linked long-term LWP and CRE (1999–2024) to large-scale circulation and atmospheric rivers. Our findings are aligned with those studies providing a robust observational verification, underscoring the critical role of sustained, long-term high-quality Arctic monitoring networks like the ARM NSA site for enabling such insights.</p>
</sec>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Statistical parameters used in the data analysis</title>
      <p id="d2e5103">The statistics for cloud properties are represented by the geometric mean, median or 1st and 3rd quantile. The variability within the distribution is expressed by the standard deviation (<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) or MAD (<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). When the data mean or median is used to fit an analytical model, the variability within the distribution is taken into account by performing a weighted fitting either by linear or non-linear regression. The weights are modelled as

          <disp-formula id="App1.Ch1.S1.E4" content-type="numbered"><label>A1</label><mml:math id="M270" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mo mathsize="1.1em">〈</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mo mathsize="1.1em">〉</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

        with <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is the inverse of the variance (with <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>mad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo mathsize="1.1em">〈</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup><mml:mo mathsize="1.1em">〉</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is the inverse variance mean. The index <inline-formula><mml:math id="M276" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> represents a distribution of cloud properties, which for the case of Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/> <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>∈</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">SIC</mml:mi><mml:mo>=</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula> is the distribution within binned sea ice concentration, and for the case of Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/> <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>∈</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">WT</mml:mi><mml:mo>=</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:mn mathvariant="normal">2011</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2024</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo mathvariant="italic">}</mml:mo></mml:mrow></mml:math></inline-formula> for the wintertime. In both cases <inline-formula><mml:math id="M279" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the length of <inline-formula><mml:math id="M280" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> set. The Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>) penalize large variability within the distribution <inline-formula><mml:math id="M281" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and will influence less the fitting algorithm.</p>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Model Goodness of fit test</title>
      <p id="d2e5381">To quantify the degree of a fitted model can represent the observations, the following parameters for goodness of fit are used: <list list-type="bullet"><list-item>
      <p id="d2e5386"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>: is the sum over residuals square divided by the fitting model degrees of freedom <inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula>, which indicates how close the model prediction is from the data,<disp-formula id="App1.Ch1.S1.E5" content-type="numbered"><label>A2</label><mml:math id="M284" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>where <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the residuals (difference between model prediction <inline-formula><mml:math id="M286" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> and observed value <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in Eqs. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) and (4a, b); with <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, 2, and 4, respectively. The closer <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is to zero, the better the fir curve represent the data.</p></list-item><list-item>
      <p id="d2e5535"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>: is the coefficient of determination, which quantifies how good the model explains the change in observed value,<disp-formula id="App1.Ch1.S1.E6" content-type="numbered"><label>A3</label><mml:math id="M291" display="block"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>j</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mfenced close="〉" open="〈"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>where <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mfenced open="〈" close="〉"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is the average over all observed values <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Worth to note that <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is generally a valid parameter for linear relationships, while for non-linear regression it could produce unexpected results like negative values or larger than one <xref ref-type="bibr" rid="bib1.bibx58" id="paren.74"/>.</p></list-item><list-item>
      <p id="d2e5648"><inline-formula><mml:math id="M295" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE: is the normalized root mean square error, which is the overall mean squared residual between model fitted and observed value,<disp-formula id="App1.Ch1.S1.E7" content-type="numbered"><label>A4</label><mml:math id="M296" display="block"><mml:mrow><mml:mi>n</mml:mi><mml:mtext>RMSE</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:mfenced open="(" close=")"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>j</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>j</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt><mml:mtext>IQR</mml:mtext></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>with IQR is the distribution inter-quantile region, and <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the weights as in Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E4"/>). Values of <inline-formula><mml:math id="M298" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE larger than one signalize a very poor agreement between fitted model and observations.</p></list-item></list></p>
      <p id="d2e5724">Given a set of fitted parameters to Eq. (4b) corresponding to the six <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, a goodness of fit test is performed to determine which single <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the data the best. This is done by minimizing a cost function which is dependent of all three goodness of fit parameter <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M302" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE, and the reciprocal of <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> i.e. <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, thus all three parameters range from zero (best) to higher values (worst):

            <disp-formula id="App1.Ch1.S1.E8" content-type="numbered"><label>A5</label><mml:math id="M305" display="block"><mml:mrow><mml:mi mathvariant="script">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msqrt><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>n</mml:mi><mml:msup><mml:mtext>RMSE</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

          As an example of how the minimum is found, in Fig. <xref ref-type="fig" rid="FA1"/> can be seen the cost function for two MPC parameters: LWP and CTT, with the minimum of the cost function <inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="script">L</mml:mi></mml:math></inline-formula> indicated by the vertical thick line.</p>

      <fig id="FA1" specific-use="star"><label>Figure A1</label><caption><p id="d2e5853">Determination of the best <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value, from the combination of all three goodness of fit parameters. LWP coupled <bold>(a)</bold> and decoupled <bold>(b)</bold>, cloud top temperature coupled <bold>(c)</bold> and decoupled <bold>(d)</bold>. The <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is shown as crosses, <inline-formula><mml:math id="M309" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>RMSE as squares, and the reciprocal of <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> as circles. The thick vertical line is the value of <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that minimizes the cost function <inline-formula><mml:math id="M312" display="inline"><mml:mi mathvariant="script">L</mml:mi></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f10.png"/>

        </fig>


</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Results for trend estimation</title>
      <p id="d2e5944">To complement Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/>, the equivalent of Fig. <xref ref-type="fig" rid="F8"/> but for L-pressure systems is shown in Fig. <xref ref-type="fig" rid="FB1"/> with LWP in panels (a) and (b), liquid CBH in panels (c) and (d), and cloud top temperature in panels (e) and (f). Further results of time series trends of other MPC properties can be found in the Supplement.</p>

      <fig id="FB1"><label>Figure B1</label><caption><p id="d2e5955">Same as in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/>, Fig. <xref ref-type="fig" rid="F8"/> but for time series comprised of L-pressure systems.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f11.png"/>

      </fig>

<sec id="App1.Ch1.S2.SS1">
  <label>B1</label><title>Time series for the lower/upper 50th percentile SIC decomposition</title>
      <p id="d2e5975">The time series' trend analysed by method <italic>ii</italic> are decomposed by the lower and upper 50th percentile of sea ice concentration. For the period of 14 years observations the lower 50th percentile comprises of data with SIC between 0 % and 95 %, whereas the upper half from SIC above 95 % to 100 %. Figure <xref ref-type="fig" rid="FB2"/> shows the LWP SIC decomposition.</p>
</sec>
<sec id="App1.Ch1.S2.SS2">
  <label>B2</label><title>Surface skin temperature trend results after SIC decomposition</title>
      <p id="d2e5992">Time series analysis for the surface skin temperature <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, estimated from the net down- and up-welling longwave radiation flux <xref ref-type="bibr" rid="bib1.bibx45" id="paren.75"/>, or by down-welling infrared radiometer when the former data is not available, after being decomposed in SIC subsets of 50th percentiles (shown in Sect. S2.3, Fig. S8) applied to methods in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS1"/> and <xref ref-type="sec" rid="Ch1.S3.SS2.SSS2"/> are displayed in Fig. <xref ref-type="fig" rid="FB3"/>. These results are discussed in Sect. <xref ref-type="sec" rid="Ch1.S3"/> in relation to the warming in the western Arctic.</p><fig id="FB2"><label>Figure B2</label><caption><p id="d2e6020">Time series of LWP for coupled and decoupled clouds under H-pressure systems. The time series are decomposed by the range of SIC: <bold>(a)</bold> and <bold>(b)</bold> all SIC considered, <bold>(c)</bold> and <bold>(d)</bold> for SIC <inline-formula><mml:math id="M314" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 95 % and SIC <inline-formula><mml:math id="M315" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 100 %, and <bold>(e)</bold> and <bold>(f)</bold> for SIC <inline-formula><mml:math id="M316" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 % and SIC <inline-formula><mml:math id="M317" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 95 %.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f12.png"/>

        </fig>

<fig id="FB3"><label>Figure B3</label><caption><p id="d2e6080"><inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rate of change for SIC subsets in the abscissae. The hollow symbols are trends using method <italic>i</italic> (Eq. 4a), coloured symbols use method <italic>ii</italic> (Eq. 4b), grey shadows behind symbols indicate the trend is statistically significant (<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>), and the number next to the coloured symbols is the period in years for the best fit Eq. (4b). The colour table represents the goodness of fit <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value. H-pressure systems in panel <bold>(a)</bold> and <bold>(c)</bold> for coupled and decoupled cases. L-pressure systems in panels <bold>(b)</bold> and <bold>(d)</bold> for coupled and decoupled, respectively.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f13.png"/>

        </fig>


</sec>
</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Sensitivity to radius of semi-circle around NSA site for SIC parameter</title>
      <p id="d2e6152">To investigate how sensitive the results are to the choice of sea ice area (red cone in Fig. <xref ref-type="fig" rid="F1"/>) to compute the average SIC associated to be coupled/decoupled to the MPC parameters, in addition to the 50 km used for the results in Sect. <xref ref-type="sec" rid="Ch1.S3"/>, a different radius of 75 km has been tested. The procedure indicated in Sect. <xref ref-type="sec" rid="Ch1.S2"/> was repeated for 75 km and the results for LWP trend are summarized in Table <xref ref-type="table" rid="TC1"/> as compared to the results for 50 km. It has been found that there is a small difference between results from 50  and 75 km radius (second column in Table <xref ref-type="table" rid="TC1"/>), but the differences are more noticeable for decoupled cases in particular when grouped to 0 <inline-formula><mml:math id="M321" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> SIC <inline-formula><mml:math id="M322" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 95 %.</p>
      <p id="d2e6180">In  Sect. S3 the associated Figure for 75 km radius around NSA site can be found. A noticeable difference is mostly seen for the results associated to decoupled cases and SIC between 0 % and 95 %. For coupled cases the results are robust and consistent either by selecting SIC within 50 or 75 km.</p>

<table-wrap id="TC1"><label>Table C1</label><caption><p id="d2e6187">Comparison for 2011 to 2024 wintertime LWP trends when considering SIC within two sectors of radius 50 or 75 km.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry namest="col1" nameend="col9">High Pressure systems (<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Z</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>

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

         <oasis:entry colname="col1">SIC</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sic</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">Decoupled </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">Coupled </oasis:entry>

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

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">LWP</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">LWP</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col9"/>

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

         <oasis:entry colname="col1">[%]</oasis:entry>

         <oasis:entry colname="col2">[km]</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> [yr]</oasis:entry>

         <oasis:entry colname="col5">[g m<sup>−2</sup> per decade]</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> [yr]</oasis:entry>

         <oasis:entry colname="col8">[g m<sup>−2</sup> per decade]</oasis:entry>

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

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">0–100</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">1.09</oasis:entry>

         <oasis:entry colname="col4">6.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6">0.19</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col9"><xref ref-type="fig" rid="F8"/>a, b</oasis:entry>

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

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">1.26</oasis:entry>

         <oasis:entry colname="col4">2.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6">0.17</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col9">S13a, b</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">95–100</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">1.37</oasis:entry>

         <oasis:entry colname="col4">6.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M337" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7 <inline-formula><mml:math id="M338" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>

         <oasis:entry colname="col6">0.12</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M339" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.8 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>  0.9</oasis:entry>

         <oasis:entry colname="col9"><xref ref-type="fig" rid="FB2"/>c, d</oasis:entry>

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

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">1.44</oasis:entry>

         <oasis:entry colname="col4">6.5</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col6">0.15</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M343" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.1 <inline-formula><mml:math id="M344" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>

         <oasis:entry colname="col9">S13c, d</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">0–95</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">0.82</oasis:entry>

         <oasis:entry colname="col4">2.9</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M345" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6.2 <inline-formula><mml:math id="M346" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.1</oasis:entry>

         <oasis:entry colname="col6">0.40</oasis:entry>

         <oasis:entry colname="col7">5.4</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M348" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col9"><xref ref-type="fig" rid="FB2"/>e, f</oasis:entry>

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

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">1.30</oasis:entry>

         <oasis:entry colname="col4">2.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>

         <oasis:entry colname="col6">0.39</oasis:entry>

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

         <oasis:entry colname="col8"><inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M352" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0</oasis:entry>

         <oasis:entry colname="col9">S13e, f</oasis:entry>

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

         <oasis:entry namest="col1" nameend="col9">Low Pressure systems (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>Z</mml:mi><mml:mo>&gt;</mml:mo></mml:mrow></mml:math></inline-formula> 0) </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SIC</oasis:entry>

         <oasis:entry colname="col2"><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sic</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">Decoupled </oasis:entry>

         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">Coupled </oasis:entry>

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

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">LWP</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">LWP</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col9"/>

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

         <oasis:entry colname="col1">[%]</oasis:entry>

         <oasis:entry colname="col2">[km]</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> [yr]</oasis:entry>

         <oasis:entry colname="col5">[g m<sup>−2</sup> per decade]</oasis:entry>

         <oasis:entry colname="col6"><inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> [yr]</oasis:entry>

         <oasis:entry colname="col8">[g m<sup>−2</sup> per decade]</oasis:entry>

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

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">0–100</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">0.42</oasis:entry>

         <oasis:entry colname="col4">2.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M364" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col6">0.20</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">35.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>

         <oasis:entry colname="col9">S8a, b</oasis:entry>

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

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">0.49</oasis:entry>

         <oasis:entry colname="col4">3.6</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M368" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col6">0.21</oasis:entry>

         <oasis:entry colname="col7">10.8</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">34.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M370" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>

         <oasis:entry colname="col9">S12a, b</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">95–100</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">0.94</oasis:entry>

         <oasis:entry colname="col4">2.3</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M372" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col6">0.13</oasis:entry>

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

         <oasis:entry colname="col8"><inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>  0.8</oasis:entry>

         <oasis:entry colname="col9">S8c, d</oasis:entry>

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

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">1.35</oasis:entry>

         <oasis:entry colname="col4">2.9</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M376" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>

         <oasis:entry colname="col6">0.11</oasis:entry>

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

         <oasis:entry colname="col8"><inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">17.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M378" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7</oasis:entry>

         <oasis:entry colname="col9">S12c, d</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">0–95</oasis:entry>

         <oasis:entry colname="col2">50</oasis:entry>

         <oasis:entry colname="col3">1.37</oasis:entry>

         <oasis:entry colname="col4">4.0</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M380" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>

         <oasis:entry colname="col6">0.64</oasis:entry>

         <oasis:entry colname="col7">4.6</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">86.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M382" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7</oasis:entry>

         <oasis:entry colname="col9">S8e, f</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">75</oasis:entry>

         <oasis:entry colname="col3">1.13</oasis:entry>

         <oasis:entry colname="col4">2.9</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M384" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17.9</oasis:entry>

         <oasis:entry colname="col6">0.32</oasis:entry>

         <oasis:entry colname="col7">4.6</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">79.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>

         <oasis:entry colname="col9">S12e, f</oasis:entry>

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


</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Frequency decomposition for climate indicators</title>
      <p id="d2e7357">A discrete Fourier analysis has been performed to obtain the frequency harmonics <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from three climate indicators: Arctic oscillation (AO), Pacific Decadal Oscillation (PDO), and El Niño Southern Oscillation (ENSO). The power spectrum as a function of the signal harmonics expressed as periods (<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) is shown in Fig. <xref ref-type="fig" rid="FD1"/>, with the set of harmonics used to test the fitting of Eq. (4b) indicated by a red triangle at the bottom of panel (c) in Fig. <xref ref-type="fig" rid="FD1"/>.</p>
      <p id="d2e7391">Note that the limits of the abscess in Fig. <xref ref-type="fig" rid="FD1"/> is intentionally cut for the range relevant to the 12 year of observation period, the signal can contain multi-decadal harmonics that excesses the 12 years period.</p>

      <fig id="FD1"><label>Figure D1</label><caption><p id="d2e7398">Power spectrum per frequency bandwidth for three climate indicators: <bold>(a)</bold> Arctic Oscillation, <bold>(b)</bold> Pacific Decadal Oscillation, <bold>(c)</bold> El Niño Southern Oscillation. The relevant frequencies are indicated by red triangles at the bottom of panel <bold>(c)</bold>. Note, the peak at 10.5 year in panel <bold>(b)</bold> is cut at 300 for comparison reasons.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/14843/2026/acp-26-14843-2026-f14.png"/>

      </fig>


</app>

<app id="App1.Ch1.S5">
  <label>Appendix E</label><title>List of Acronyms and variables</title>

        <table-wrap position="anchor"><oasis:table><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><bold>Acronym</bold></oasis:entry>
         <oasis:entry colname="col2"><bold>Description</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AMSR2</oasis:entry>
         <oasis:entry colname="col2">Advanced Microwave Scanning</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Radiometer 2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AO</oasis:entry>
         <oasis:entry colname="col2">Arctic Oscillation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ASI</oasis:entry>
         <oasis:entry colname="col2">Arctic sea ice algorithm</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CEIL10m</oasis:entry>
         <oasis:entry colname="col2">Ceilometer 10 m resolution</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CRE</oasis:entry>
         <oasis:entry colname="col2">Cloud Radiative Effect</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ENSO</oasis:entry>
         <oasis:entry colname="col2">El Niño Southern Oscillation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">INTERPSONDE</oasis:entry>
         <oasis:entry colname="col2">Interpolated Radiosonde</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KAZR</oasis:entry>
         <oasis:entry colname="col2">Ka Zenith Radar</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MPC</oasis:entry>
         <oasis:entry colname="col2">Mixed-phase Clouds</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NSA</oasis:entry>
         <oasis:entry colname="col2">North Slope of Alaska</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MWR</oasis:entry>
         <oasis:entry colname="col2">Microwave Radiometer</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PDO</oasis:entry>
         <oasis:entry colname="col2">Pacific Decadal Oscillation</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TE1"><label>Table E1</label><caption><p id="d2e7577">Physical quantities and corresponding units relevant in this study.</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 rowsep="1">
         <oasis:entry colname="col1">Symbol</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
         <oasis:entry colname="col3">Unit</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">LWP</oasis:entry>
         <oasis:entry colname="col2">liquid water path</oasis:entry>
         <oasis:entry colname="col3">g m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IWP</oasis:entry>
         <oasis:entry colname="col2">ice water path</oasis:entry>
         <oasis:entry colname="col3">g m<sup>−2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>WVT</oasis:entry>
         <oasis:entry colname="col2">vertical gradient of water</oasis:entry>
         <oasis:entry colname="col3">kg m<sup>−2</sup> s<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">vapour transport</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CBH</oasis:entry>
         <oasis:entry colname="col2">liquid cloud base height</oasis:entry>
         <oasis:entry colname="col3">m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTH</oasis:entry>
         <oasis:entry colname="col2">cloud top height</oasis:entry>
         <oasis:entry colname="col3">m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CMLH</oasis:entry>
         <oasis:entry colname="col2">cloud mixing-layer height</oasis:entry>
         <oasis:entry colname="col3">m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CTT</oasis:entry>
         <oasis:entry colname="col2">cloud top temperature</oasis:entry>
         <oasis:entry colname="col3">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SIC</oasis:entry>
         <oasis:entry colname="col2">sea ice concentration</oasis:entry>
         <oasis:entry colname="col3">%</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ze</oasis:entry>
         <oasis:entry colname="col2">radar equivalent reflectivity factor</oasis:entry>
         <oasis:entry colname="col3">dBz</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M394" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">lidar attenuated backscattering</oasis:entry>
         <oasis:entry colname="col3">m<sup>−1</sup> sr<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">coefficient</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M397" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">atmospheric pressure</oasis:entry>
         <oasis:entry colname="col3">Pa</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">specific humidity</oasis:entry>
         <oasis:entry colname="col3">g g<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">horizontal wind speed</oasis:entry>
         <oasis:entry colname="col3">m s<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">wind direction from North</oasis:entry>
         <oasis:entry colname="col3">°</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">virtual potential temperature</oasis:entry>
         <oasis:entry colname="col3">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>i</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">bulk Richardson number</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">skin</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">skin surface temperature</oasis:entry>
         <oasis:entry colname="col3">K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi mathvariant="normal">cloud</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">cloud layer temperature lapse rate</oasis:entry>
         <oasis:entry colname="col3">K km<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">cloud layer average effective radius</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M409" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e8068">Code and data available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.7245670" ext-link-type="DOI">10.5281/zenodo.7245670</ext-link> <xref ref-type="bibr" rid="bib1.bibx39" id="paren.76"/>, <ext-link xlink:href="https://doi.org/10.5281/zenodo.22871849" ext-link-type="DOI">10.5281/zenodo.22871849</ext-link> <xref ref-type="bibr" rid="bib1.bibx40" id="paren.77"/>, and <ext-link xlink:href="https://doi.org/10.5281/zenodo.22905666" ext-link-type="DOI">10.5281/zenodo.22905666</ext-link> <xref ref-type="bibr" rid="bib1.bibx41" id="paren.78"/> and references listed in Table <xref ref-type="table" rid="T1"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e8092">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-14843-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-14843-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e8101">PSG conceptualized the research idea, performed the data processing, and analysis of results. HKL conceptualized the research idea, provided advise and supervision. Both authors were involved in the manuscript preparation.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e8107">The contact author has declared that neither of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e8113">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e8119">Our gratitude to the DOE ARM program for openly provide the data from its North Slope of Alaska site in Utqiagvik Alaska, and to the open Sea Ice data repository from the University of Bremen. We acknowledge ACTRIS and Finnish Meteorological Institute for providing the data set which is available for download from <uri>https://cloudnet.fmi.fi</uri> (last access: 9 May 2025). We acknowledge ECMWF for providing IFS model data.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e8127">This research has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation (grant no. 268020496 – TRR 172)), within the Transregional Collaborative Research Center “ArctiC Amplification: Climate Relevant Atmospheric and SurfaCe Processes, and Feedback Mechanisms (AC)3”. Supported by the Open Access Publishing Fund  of Leipzig University.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e8138">This paper was edited by Martina Krämer and Minghuai Wang and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Andreas and Cash(1999)</label><mixed-citation>Andreas, E. L. and Cash, B. A.: Convective heat transfer over wintertime leads and polynyas, J. Geophys. Res.-Oceans, 104, 25721–25734, <ext-link xlink:href="https://doi.org/10.1029/1999JC900241" ext-link-type="DOI">10.1029/1999JC900241</ext-link>,  1999.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Arrhenius(1897)</label><mixed-citation>Arrhenius, S.: On the influence of carbonic acid in the air upon the temperature of the Earth, Publ. Astron. Soc. Pac., 9, 14, <ext-link xlink:href="https://doi.org/10.1086/121158" ext-link-type="DOI">10.1086/121158</ext-link>,  1897.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Cadeddu et al.(2024)Cadeddu, Morris, and Tuftedal</label><mixed-citation>Cadeddu, M., Morris, V., and Tuftedal, M.: Microwave Radiometer (MWRLOS), Atmospheric Radiation Measurement (ARM) user facility,   <ext-link xlink:href="https://doi.org/10.5439/1999490" ext-link-type="DOI">10.5439/1999490</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Cesana et al.(2024)Cesana, Pierpaoli, Ottaviani, Vu, Jin, and Silber</label><mixed-citation>Cesana, G. V., Pierpaoli, O., Ottaviani, M., Vu, L., Jin, Z., and Silber, I.: The correlation between Arctic sea ice, cloud phase and radiation using A-Train satellites, Atmos. Chem. Phys., 24, 7899–7909, <ext-link xlink:href="https://doi.org/10.5194/acp-24-7899-2024" ext-link-type="DOI">10.5194/acp-24-7899-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Cesana et al.(2025)Cesana, Roach, and Blanchard-Wrigglesworth</label><mixed-citation>Cesana, G. V., Roach, L. A., and Blanchard-Wrigglesworth, E.: Clouds Are Crucial to Capture Antarctic Sea Ice Variability, Geophys. Res. Lett., 52, e2024GL113322, <ext-link xlink:href="https://doi.org/10.1029/2024GL113322" ext-link-type="DOI">10.1029/2024GL113322</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Chang et al.(2021)Chang, Schultz, Lan, McClure-Begley, Petropavlovskikh, Xu, and Ziemke</label><mixed-citation>Chang, K.-L., Schultz, M. G., Lan, X., McClure-Begley, A., Petropavlovskikh, I., Xu, X., and Ziemke, J. R.: Trend detection of atmospheric time series: Incorporating appropriate uncertainty estimates and handling extreme events, Elementa: Science of the Anthropocene, 9, 00035, <ext-link xlink:href="https://doi.org/10.1525/elementa.2021.00035" ext-link-type="DOI">10.1525/elementa.2021.00035</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Cox et al.(2015)Cox, Walden, Rowe, and Shupe</label><mixed-citation>Cox, C. J., Walden, V. P., Rowe, P. M., and Shupe, M. D.: Humidity trends imply increased sensitivity to clouds in a warming Arctic, Nat. Commun., 6, 10117, <ext-link xlink:href="https://doi.org/10.1038/ncomms10117" ext-link-type="DOI">10.1038/ncomms10117</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Deng and Dai(2024)</label><mixed-citation>Deng, J. and Dai, A.: Arctic sea ice–air interactions weaken El Niño–Southern Oscillation, Sci. Adv., 10, eadk3990, <ext-link xlink:href="https://doi.org/10.1126/sciadv.adk3990" ext-link-type="DOI">10.1126/sciadv.adk3990</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Griesche et al.(2020)Griesche, Seifert, Ansmann, Baars, Barrientos Velasco, Bühl, Engelmann, Radenz, Zhenping, and Macke</label><mixed-citation>Griesche, H. J., Seifert, P., Ansmann, A., Baars, H., Barrientos Velasco, C., Bühl, J., Engelmann, R., Radenz, M., Zhenping, Y., and Macke, A.: Application of the shipborne remote sensing supersite OCEANET for profiling of Arctic aerosols and clouds during <italic>Polarstern</italic> cruise PS106, Atmos. Meas. Tech., 13, 5335–5358, <ext-link xlink:href="https://doi.org/10.5194/amt-13-5335-2020" ext-link-type="DOI">10.5194/amt-13-5335-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Griesche et al.(2024)Griesche, Barrientos-Velasco, Deneke, Hünerbein, Seifert, and Macke</label><mixed-citation>Griesche, H. J., Barrientos-Velasco, C., Deneke, H., Hünerbein, A., Seifert, P., and Macke, A.: Low-level Arctic clouds: a blind zone in our knowledge of the radiation budget, Atmos. Chem. Phys., 24, 597–612, <ext-link xlink:href="https://doi.org/10.5194/acp-24-597-2024" ext-link-type="DOI">10.5194/acp-24-597-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Hegerl(2022)</label><mixed-citation>Hegerl, G. C.: Climate change is physics, Commun. Earth Environ., 3, 1–3, <ext-link xlink:href="https://doi.org/10.1038/s43247-022-00342-8" ext-link-type="DOI">10.1038/s43247-022-00342-8</ext-link>,  2022.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Hofer et al.(2024)Hofer, Hahn, Shaw, McGraw, Bruno, Hellmuth, Pietschnig, Mostue, David, Carlsen, and Storelvmo</label><mixed-citation>Hofer, S., Hahn, L. C., Shaw, J. K., McGraw, Z. S., Bruno, O., Hellmuth, F., Pietschnig, M., Mostue, I. A., David, R. O., Carlsen, T., and Storelvmo, T.: Realistic representation of mixed-phase clouds increases projected climate warming, Commun. Earth Environ., 5, 1–12, <ext-link xlink:href="https://doi.org/10.1038/s43247-024-01524-2" ext-link-type="DOI">10.1038/s43247-024-01524-2</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Illingworth et al.(2007)Illingworth, Hogan, O'Connor, Bouniol, Brooks, Delanoé, Donovan, Eastment, Gaussiat, Goddard, Haeffelin, Baltink, Krasnov, Pelon, Piriou, Protat, Russchenberg, Seifert, Tompkins, van Zadelhoff, Vinit, Willén, Wilson, and Wrench</label><mixed-citation>Illingworth, A. J., Hogan, R. J., O'Connor, E. J., Bouniol, D., Brooks, M. E., Delanoé, J., Donovan, D. P., Eastment, J. D., Gaussiat, N., Goddard, J. W. F., Haeffelin, M., Baltink, H. K., Krasnov, O. A., Pelon, J., Piriou, J.-M., Protat, A., Russchenberg, H. W. J., Seifert, A., Tompkins, A. M., van Zadelhoff, G.-J., Vinit, F., Willén, U., Wilson, D. R., and Wrench, C. L.: CloudnetContinuous Evaluation of Cloud Profiles in Seven Operational Models Using Ground-Based Observations, Bull. Amer. Meteor. Soc., 88, 883–898, <ext-link xlink:href="https://doi.org/10.1175/BAMS-88-6-883" ext-link-type="DOI">10.1175/BAMS-88-6-883</ext-link>,  2007.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Jensen et al.(2024)Jensen, Giangrande, Fairless, and Zhou</label><mixed-citation>Jensen, M., Giangrande, S., Fairless, T., and Zhou, A.: Interpolated Sonde (INTERPOLATEDSONDE), Atmospheric Radiation Measurement (ARM) user facility, <ext-link xlink:href="https://doi.org/10.5439/1095316" ext-link-type="DOI">10.5439/1095316</ext-link>,  2024.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Johnson et al.(2024)Johnson, Giangrande, and Toto</label><mixed-citation>Johnson, K., Giangrande, S., and Toto, T.: Active Remote Sensing of CLouds (ARSCL) product using Ka-band ARM Zenith Radars (ARSCLKAZR1KOLLIAS), Atmospheric Radiation Measurement (ARM) user facility, <ext-link xlink:href="https://doi.org/10.5439/1393437" ext-link-type="DOI">10.5439/1393437</ext-link>,  2024.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>JPL ENSO(2025)</label><mixed-citation>JPL ENSO: El Niño Southern Oscillation index, Jet Propulsion Laboratory, California Institute of Technology, <uri>https://sealevel.jpl.nasa.gov/data/vital-signs/el-nino/</uri> (last access: 30 April 2025), 2025.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>JPL PDO(2025)</label><mixed-citation>JPL PDO: Pacific Decadal Oscillation index, Jet Propulsion Laboratory, California Institute of Technology, <uri>https://sealevel.jpl.nasa.gov/data/vital-signs/pacific-decadal-oscillation</uri> (last access: 30 April 2025), 2025.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Kalesse-Los et al.(2022)Kalesse-Los, Schimmel, Luke, and Seifert</label><mixed-citation>Kalesse-Los, H., Schimmel, W., Luke, E., and Seifert, P.: Evaluating cloud liquid detection against Cloudnet using cloud radar Doppler spectra in a pre-trained artificial neural network, Atmos. Meas. Tech., 15, 279–295, <ext-link xlink:href="https://doi.org/10.5194/amt-15-279-2022" ext-link-type="DOI">10.5194/amt-15-279-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Kodaira et al.(2020)Kodaira, Waseda, Nose, and Inoue</label><mixed-citation>Kodaira, T., Waseda, T., Nose, T., and Inoue, J.: Record high Pacific Arctic seawater temperatures and delayed sea ice advance in response to episodic atmospheric blocking, Sci. Rep., 10, 20830, <ext-link xlink:href="https://doi.org/10.1038/s41598-020-77488-y" ext-link-type="DOI">10.1038/s41598-020-77488-y</ext-link>,  2020.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Korolev and Milbrandt(2022)</label><mixed-citation>Korolev, A. and Milbrandt, J.: How are mixed-phase clouds mixed?, Geophys. Res. Lett., 49, e2022GL099578, <ext-link xlink:href="https://doi.org/10.1029/2022GL099578" ext-link-type="DOI">10.1029/2022GL099578</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Lapere et al.(2024)Lapere, Marelle, Rampal, Brodeau, Melsheimer, Spreen, and Thomas</label><mixed-citation>Lapere, R., Marelle, L., Rampal, P., Brodeau, L., Melsheimer, C., Spreen, G., and Thomas, J. L.: Modeling the contribution of leads to sea spray aerosol in the high Arctic, Atmos. Chem. Phys., 24, 12107–12132, <ext-link xlink:href="https://doi.org/10.5194/acp-24-12107-2024" ext-link-type="DOI">10.5194/acp-24-12107-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Li et al.(2020a)Li, Krueger, Strong, and Mace</label><mixed-citation>Li, X., Krueger, S. K., Strong, C., and Mace, G. G.: Relationship Between Wintertime Leads and Low Clouds in the Pan-Arctic, J. Geophys. Res.-Atmos., 125, e2020JD032595, <ext-link xlink:href="https://doi.org/10.1029/2020JD032595" ext-link-type="DOI">10.1029/2020JD032595</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Li et al.(2020b)Li, Krueger, Strong, Mace, and Benson</label><mixed-citation>Li, X., Krueger, S. K., Strong, C., Mace, G. G., and Benson, S.: Midwinter Arctic leads form and dissipate low clouds, Nat. Commun., 11, 206, <ext-link xlink:href="https://doi.org/10.1038/s41467-019-14074-5" ext-link-type="DOI">10.1038/s41467-019-14074-5</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Lubin et al.(2026)Lubin, Zou, Mülmenstädt, Vogelmann, Cadeddu, and Zhang</label><mixed-citation>Lubin, D., Zou, X., Mülmenstädt, J., Vogelmann, A., Cadeddu, M., and Zhang, D.: Surface radiation trends at North Slope of Alaska influenced by large-scale circulation and atmospheric rivers, Atmos. Chem. Phys., 26, 295–311, <ext-link xlink:href="https://doi.org/10.5194/acp-26-295-2026" ext-link-type="DOI">10.5194/acp-26-295-2026</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Manaster et al.(2017)Manaster, O’Dell, and Elsaesser</label><mixed-citation>Manaster, A., O’Dell, C. W., and Elsaesser, G.: Evaluation of Cloud Liquid Water Path Trends Using a Multidecadal Record of Passive Microwave Observations, J. Climate,  <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0399.1" ext-link-type="DOI">10.1175/JCLI-D-16-0399.1</ext-link>,  2017.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Mann et al.(2020)Mann, Steinman, and Miller</label><mixed-citation>Mann, M. E., Steinman, B. A., and Miller, S. K.: Absence of internal multidecadal and interdecadal oscillations in climate model simulations, Nat. Commun., 11, 49, <ext-link xlink:href="https://doi.org/10.1038/s41467-019-13823-w" ext-link-type="DOI">10.1038/s41467-019-13823-w</ext-link>,  2020.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Melsheimer and Spreen(2019)</label><mixed-citation>Melsheimer, C. and Spreen, G.: AMSR-E ASI sea ice concentration data, Arctic, version 5.4 (NetCDF) (June 2002–September 2011), Pangaea, <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.899090" ext-link-type="DOI">10.1594/PANGAEA.899090</ext-link>,  2019.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Morrison et al.(2012)Morrison, de Boer, Feingold, Harrington, Shupe, and Sulia</label><mixed-citation>Morrison, H., de Boer, G., Feingold, G., Harrington, J., Shupe, M. D., and Sulia, K.: Resilience of persistent Arctic mixed-phase clouds, Nat. Geosci., 5, 11–17, <ext-link xlink:href="https://doi.org/10.1038/ngeo1332" ext-link-type="DOI">10.1038/ngeo1332</ext-link>,  2012.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Nakanishi and Michibata(2025)</label><mixed-citation>Nakanishi, M. and Michibata, T.: How Does Cloud Emissivity Feedback Affect Present and Future Arctic Warming?, Ocean-Land-Atmosphere Research, 4, 0089, <ext-link xlink:href="https://doi.org/10.34133/olar.0089" ext-link-type="DOI">10.34133/olar.0089</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>NOAA AO(2025)</label><mixed-citation>NOAA AO: Artic Oscillation index, National Ocean and Atmospheric Administration, <uri>ftp://ftp.cpc.ncep.noaa.gov/cwlinks/norm.daily.ao.cdas.z1000.19500101_current.csv</uri> (last access: 30 April 2025), 2025.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Notz and Community(2020)</label><mixed-citation>Notz, D. and and SIMIP Community: Arctic Sea Ice in CMIP6, Geophys. Res. Lett., 47, e2019GL086749, <ext-link xlink:href="https://doi.org/10.1029/2019GL086749" ext-link-type="DOI">10.1029/2019GL086749</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>O'Connor(2025)</label><mixed-citation>O'Connor, E.: Model data from Barrow from 1 November 2011 to 30 April 2025, ACTRIS Cloud remote sensing data centre unit (CLU), <uri>https://hdl.handle.net/21.12132/1.b1fac6f389b740e7</uri> (last access: 30 April, 2025), 2025.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Palm et al.(2010)Palm, Strey, Spinhirne, and Markus</label><mixed-citation>Palm, S. P., Strey, S. T., Spinhirne, J., and Markus, T.: Influence of Arctic sea ice extent on polar cloud fraction and vertical structure and implications for regional climate, J. Geophys. Res.-Atmos., 115, <ext-link xlink:href="https://doi.org/10.1029/2010JD013900" ext-link-type="DOI">10.1029/2010JD013900</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Papakonstantinou-Presvelou et al.(2022)Papakonstantinou-Presvelou, Sourdeval, and Quaas</label><mixed-citation>Papakonstantinou-Presvelou, I., Sourdeval, O., and Quaas, J.: Strong Ocean/Sea-Ice Contrasts Observed in Satellite-Derived Ice Crystal Number Concentrations in Arctic Ice Boundary-Layer Clouds, Geophys. Res. Lett., 49, e2022GL098207, <ext-link xlink:href="https://doi.org/10.1029/2022GL098207" ext-link-type="DOI">10.1029/2022GL098207</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Pithan et al.(2014)Pithan, Medeiros, and Mauritsen</label><mixed-citation>Pithan, F., Medeiros, B., and Mauritsen, T.: Mixed-phase clouds cause climate model biases in Arctic wintertime temperature inversions, Clim. Dynam., 43, 289–303, <ext-link xlink:href="https://doi.org/10.1007/s00382-013-1964-9" ext-link-type="DOI">10.1007/s00382-013-1964-9</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Rantanen et al.(2022)Rantanen, Karpechko, Lipponen, Nordling, Hyvärinen, Ruosteenoja, Vihma, and Laaksonen</label><mixed-citation>Rantanen, M., Karpechko, A. Y., Lipponen, A., Nordling, K., Hyvärinen, O., Ruosteenoja, K., Vihma, T., and Laaksonen, A.: The Arctic has warmed nearly four times faster than the globe since 1979, Commun. Earth Environ., 3, 1–10, <ext-link xlink:href="https://doi.org/10.1038/s43247-022-00498-3" ext-link-type="DOI">10.1038/s43247-022-00498-3</ext-link>,  2022.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Riihimaki et al.(2024)Riihimaki, Zhang, and Gaustad</label><mixed-citation>Riihimaki, L., Zhang, D., and Gaustad, K.: Radiative Flux Analysis (RADFLUX1LONG), North Slope Alaska (NSA), Central Facility, Barrow AK (C1), Tech. rep., <ext-link xlink:href="https://doi.org/10.5439/1395159" ext-link-type="DOI">10.5439/1395159</ext-link>,  2024.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Rogers and Yau(1991)</label><mixed-citation> Rogers, R. and Yau, M.: A Short Course in Clouds Physics, Pergamon Press, 3rd edn., ISBN 0-08-034863-7, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Saavedra Garfias(2022)</label><mixed-citation>Saavedra Garfias, P.: CloudnetTools.jl: Julia toolbox to apply Cloudnet to data from the Atmospheric Radiation Measurement (ARM) facility, Zenodo [code], <ext-link xlink:href="https://doi.org/10.5281/zenodo.7245670" ext-link-type="DOI">10.5281/zenodo.7245670</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Saavedra Garfias(2026a)</label><mixed-citation>Saavedra Garfias, P.: Source code for processing and long-term trend analysis of the interaction between mixed-phase clouds and sea ice at the ARM NSA site,  Zenodo [code],  <ext-link xlink:href="https://doi.org/10.5281/zenodo.22871849" ext-link-type="DOI">10.5281/zenodo.22871849</ext-link>, 2026a.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Saavedra Garfias(2026b)</label><mixed-citation>Saavedra Garfias, P.: Wintertime Arctic cloud properties coupled to sea ice at the ARM NSA site from 2011 to 2025,  Zenodo [data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.22905666" ext-link-type="DOI">10.5281/zenodo.22905666</ext-link>, 2026b.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Saavedra Garfias and Kalesse-Los(2023)</label><mixed-citation>Saavedra Garfias, P. and Kalesse-Los, H.: Wintertime Arctic cloud properties coupled to sea ice leads during MOSAiC expedition, Harvard Dataverse, <ext-link xlink:href="https://doi.org/10.7910/DVN/DZSUV7" ext-link-type="DOI">10.7910/DVN/DZSUV7</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Saavedra Garfias and Kalesse-Los(2024)</label><mixed-citation>Saavedra Garfias, P. and Kalesse-Los, H.: Long-term statistical analysis of wintertime cloud thermodynamic phase and micro-physical properties in relation to sea ice condition at NSA Utqiaǵvik site, ESS Open Archive, <ext-link xlink:href="https://doi.org/10.22541/essoar.170516166.65463592/v1" ext-link-type="DOI">10.22541/essoar.170516166.65463592/v1</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Saavedra Garfias et al.(2023)Saavedra Garfias, Kalesse-Los, von Albedyll, Griesche, and Spreen</label><mixed-citation>Saavedra Garfias, P., Kalesse-Los, H., von Albedyll, L., Griesche, H., and Spreen, G.: Asymmetries in cloud microphysical properties ascribed to sea ice leads via water vapour transport in the central Arctic, Atmos. Chem. Phys., 23, 14521–14546, <ext-link xlink:href="https://doi.org/10.5194/acp-23-14521-2023" ext-link-type="DOI">10.5194/acp-23-14521-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Saavedra Garfias et al.(2024)Saavedra Garfias, Kalesse-Los, and Ebell</label><mixed-citation>Saavedra Garfias, P., Kalesse-Los, H., and Ebell, K.: Estimation of wintertime cloud radiative effects in the Western Arctic, a function of cloud-moisture-coupling and sea ice conditions, AIP Conference Proceedings, 2988, 070008, <ext-link xlink:href="https://doi.org/10.1063/5.0182751" ext-link-type="DOI">10.1063/5.0182751</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Schäfer et al.(2025)Schäfer, David, Hodnebrog, and Storelvmo</label><mixed-citation>Schäfer, B., David, R. O., Hodnebrog, Ø., and Storelvmo, T.: Response of an Arctic Mixed-Phase Cloud to Ice-Nucleating Particle Perturbations and Warming, Geophys. Res. Lett., 52, e2024GL114467, <ext-link xlink:href="https://doi.org/10.1029/2024GL114467" ext-link-type="DOI">10.1029/2024GL114467</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Schemann and Ebell(2020)</label><mixed-citation>Schemann, V. and Ebell, K.: Simulation of mixed-phase clouds with the ICON large-eddy model in the complex Arctic environment around Ny-Ålesund, Atmos. Chem. Phys., 20, 475–485, <ext-link xlink:href="https://doi.org/10.5194/acp-20-475-2020" ext-link-type="DOI">10.5194/acp-20-475-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Schimmel et al.(2022)Schimmel, Kalesse-Los, Maahn, Vogl, Foth, Garfias, and Seifert</label><mixed-citation>Schimmel, W., Kalesse-Los, H., Maahn, M., Vogl, T., Foth, A., Garfias, P. S., and Seifert, P.: Identifying cloud droplets beyond lidar attenuation from vertically pointing cloud radar observations using artificial neural networks, Atmos. Meas. Tech., 15, 5343–5366, <ext-link xlink:href="https://doi.org/10.5194/amt-15-5343-2022" ext-link-type="DOI">10.5194/amt-15-5343-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Serreze and Barry(2011)</label><mixed-citation>Serreze, M. C. and Barry, R. G.: Processes and impacts of Arctic amplification: A research synthesis, Global Planet. Change, 77, 85–96, <ext-link xlink:href="https://doi.org/10.1016/j.gloplacha.2011.03.004" ext-link-type="DOI">10.1016/j.gloplacha.2011.03.004</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Serreze and Barry(2014)</label><mixed-citation> Serreze, M. C. and Barry, R. G.: The Arctic climate system, Cambridge atmospheric and space science series, Cambridge university press, New York, 2nd edn., ISBN 9781107037175 9781139950367, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Serreze and Francis(2006)</label><mixed-citation>Serreze, M. C. and Francis, J. A.: The Arctic Amplification Debate, Clim. Change, 76, 241–264, <ext-link xlink:href="https://doi.org/10.1007/s10584-005-9017-y" ext-link-type="DOI">10.1007/s10584-005-9017-y</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Serreze et al.(1993)Serreze, Box, Barry, and Walsh</label><mixed-citation>Serreze, M. C., Box, J. E., Barry, R. G., and Walsh, J. E.: Characteristics of Arctic synoptic activity, 1952–1989, Meteorol. Atmos. Phys., 51, 147–164, <ext-link xlink:href="https://doi.org/10.1007/BF01030491" ext-link-type="DOI">10.1007/BF01030491</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Shi et al.(2024)Shi, Howie, Goldberger, and Morris</label><mixed-citation>Shi, Y., Howie, J., Goldberger, L., and Morris, V.: Infrared Thermometer (GNDIRT), North Slope Alaska (NSA), Central Facility, Barrow AK (C1), <ext-link xlink:href="https://doi.org/10.5439/1366509" ext-link-type="DOI">10.5439/1366509</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Shupe and Intrieri(2004)</label><mixed-citation>Shupe, M. D. and Intrieri, J. M.: Cloud Radiative Forcing of the Arctic Surface: The Influence of Cloud Properties, Surface Albedo, and Solar Zenith Angle, J. Climate, 17, 616–628, <ext-link xlink:href="https://doi.org/10.1175/1520-0442(2004)017&lt;0616:CRFOTA&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(2004)017&lt;0616:CRFOTA&gt;2.0.CO;2</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Shupe et al.(2006)Shupe, Matrosov, and Uttal</label><mixed-citation> Shupe, M. D., Matrosov, S. Y., and Uttal, T.: Arctic mixed-phase cloud properties derived from surface-based sensors at SHEBA, J. Atmos. Sci., 63, 697–711, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Shupe et al.(2011)Shupe, Walden, Eloranta, Uttal, Campbell, Starkweather, and Shiobara</label><mixed-citation>Shupe, M. D., Walden, V. P., Eloranta, E., Uttal, T., Campbell, J. R., Starkweather, S. M., and Shiobara, M.: Clouds at Arctic Atmospheric Observatories. Part I: Occurrence and Macrophysical Properties, J. Appl. Meteorol. Climatol., 50, 626–644, <ext-link xlink:href="https://doi.org/10.1175/2010JAMC2467.1" ext-link-type="DOI">10.1175/2010JAMC2467.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Shupe et al.(2022)Shupe, Rex, Blomquist, Persson, Schmale, Uttal, Althausen, Angot, and et al.</label><mixed-citation>Shupe, M. D., Rex, M., Blomquist, B., Persson, P. O. G., Schmale, J., Uttal, T., Althausen, D., Angot, H., Archer, S., Bariteau, L., Beck, I., Bilberry, J., Bucci, S., Buck, C., Boyer, M., Brasseur, Z., Brooks, I. M., Calmer, R., Cassano, J., Castro, V., Chu, D., Costa, D., Cox, C. J., Creamean, J., Crewell, S., Dahlke, S., Damm, E., de Boer, G., Deckelmann, H., Dethloff, K., Dütsch, M., Ebell, K., Ehrlich, A., Ellis, J., Engelmann, R., Fong, A. A., Frey, M. M., Gallagher, M. R., Ganzeveld, L., Gradinger, R., Graeser, J., Greenamyer, V., Griesche, H., Griffiths, S., Hamilton, J., Heinemann, G., Helmig, D., Herber, A., Heuzé, C., Hofer, J., Houchens, T., Howard, D., Inoue, J., Jacobi, H.-W., Jaiser, R., Jokinen, T., Jourdan, O., Jozef, G., King, W., Kirchgaessner, A., Klingebiel, M., Krassovski, M., Krumpen, T., Lampert, A., Landing, W., Laurila, T., Lawrence, D., Lonardi, M., Loose, B., Lüpkes, C., Maahn, M., Macke, A., Maslowski, W., Marsay, C., Maturilli, M., Mech, M., Morris, S., Moser, M., Nicolaus, M., Ortega, P., Osborn, J., Pätzold, F., Perovich, D. K., Petäjä, T., Pilz, C., Pirazzini, R., Posman, K., Powers, H., Pratt, K. A., Preußer, A., Quéléver, L., Radenz, M., Rabe, B., Rinke, A., Sachs, T., Schulz, A., Siebert, H., Silva, T., Solomon, A., Sommerfeld, A., Spreen, G., Stephens, M., Stohl, A., Svensson, G., Uin, J., Viegas, J., Voigt, C., von der Gathen, P., Wehner, B., Welker, J. M., Wendisch, M., Werner, M., Xie, Z., and Yue, F.:: Overview of the MOSAiC expedition – Atmosphere, Elementa: Science of the Anthropocene, 10, 00060, <ext-link xlink:href="https://doi.org/10.1525/elementa.2021.00060" ext-link-type="DOI">10.1525/elementa.2021.00060</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Spiess and Neumeyer(2010)</label><mixed-citation>Spiess, A.-N. and Neumeyer, N.: An evaluation of R2 as an inadequate measure for nonlinear models in pharmacological and biochemical research: a Monte Carlo approach, BMC Pharmacol., 10, 6, <ext-link xlink:href="https://doi.org/10.1186/1471-2210-10-6" ext-link-type="DOI">10.1186/1471-2210-10-6</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Spreen et al.(2008)Spreen, Kaleschke, and Heygster</label><mixed-citation>Spreen, G., Kaleschke, L., and Heygster, G.: Sea ice remote sensing using AMSR-E 89-GHz channels, J. Geophys. Res.-Oceans, 113, <ext-link xlink:href="https://doi.org/10.1029/2005JC003384" ext-link-type="DOI">10.1029/2005JC003384</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Tan and Storelvmo(2019)</label><mixed-citation>Tan, I. and Storelvmo, T.: Evidence of Strong Contributions From Mixed-Phase Clouds to Arctic Climate Change, Geophys. Res. Lett., 46, 2894–2902, <ext-link xlink:href="https://doi.org/10.1029/2018GL081871" ext-link-type="DOI">10.1029/2018GL081871</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Tan et al.(2023)Tan, Sotiropoulou, Taylor, Zamora, and Wendisch</label><mixed-citation>Tan, I., Sotiropoulou, G., Taylor, P. C., Zamora, L., and Wendisch, M.: A Review of the Factors Influencing Arctic Mixed-Phase Clouds: Progress and Outlook, Chap. 5, pp. 103–132, American Geophysical Union (AGU), ISBN 9781119700357, <ext-link xlink:href="https://doi.org/10.1002/9781119700357.ch5" ext-link-type="DOI">10.1002/9781119700357.ch5</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Tan et al.(2025)Tan, Zhou, Lamy, and Stauffer</label><mixed-citation>Tan, I., Zhou, C., Lamy, A., and Stauffer, C. L.: Moderate climate sensitivity due to opposing mixed-phase cloud feedbacks, npj Clim. Atmos. Sci., 8, 1–6, <ext-link xlink:href="https://doi.org/10.1038/s41612-025-00948-7" ext-link-type="DOI">10.1038/s41612-025-00948-7</ext-link>,  2025.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Timmermann et al.(2018)Timmermann, An, Kug, Jin, Cai, Capotondi, and et. alli</label><mixed-citation>Timmermann, A., An, S.-I., Kug, J.-S., Jin, F.-F., Cai, W., Capotondi, A., Cobb, K. M., Lengaigne, M., McPhaden, M. J., Stuecker, M. F., Stein, K., Wittenberg, A. T., Yun, K.-S., Bayr, T., Chen, H.-C., Chikamoto, Y., Dewitte, B., Dommenget, D., Grothe, P., Guilyardi, E., Ham, Y.-G., Hayashi, M., Ineson, S., Kang, D., Kim, S., Kim, W., Lee, J.-Y., Li, T., Luo, J.-J., McGregor, S., Planton, Y., Power, S., Rashid, H., Ren, H.-L., Santoso, A., Takahashi, K., Todd, A., Wang, G., Wang, G., Xie, R., Yang, W.-H., Yeh, S.-W., Yoon, J., Zeller, E., and Zhang, X.:: El Niño–Southern Oscillation complexity, Nature, 559, 535–545, <ext-link xlink:href="https://doi.org/10.1038/s41586-018-0252-6" ext-link-type="DOI">10.1038/s41586-018-0252-6</ext-link>,   2018.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Tobo et al.(2024)Tobo, Adachi, Kawai, Matsui, Ohata, Oshima, Kondo, Hermansen, Uchida, Inoue, and Koike</label><mixed-citation>Tobo, Y., Adachi, K., Kawai, K., Matsui, H., Ohata, S., Oshima, N., Kondo, Y., Hermansen, O., Uchida, M., Inoue, J., and Koike, M.: Surface warming in Svalbard may have led to increases in highly active ice-nucleating particles, Commun. Earth  Environ., 5, 516, <ext-link xlink:href="https://doi.org/10.1038/s43247-024-01677-0" ext-link-type="DOI">10.1038/s43247-024-01677-0</ext-link>,   2024.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Toto and Giangrande(2024)</label><mixed-citation>Toto, T. and Giangrande, S.: Ka-Band ARM Zenith RADAR (KAZR) CF-Radial, Corrected VAP (KAZRCFRCORGE), <ext-link xlink:href="https://doi.org/10.5439/1560129" ext-link-type="DOI">10.5439/1560129</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Tukiainen et al.(2020)Tukiainen, O'Connor, and Korpinen</label><mixed-citation>Tukiainen, S., O'Connor, E., and Korpinen, A.: CloudnetPy: A Python package for processing cloud remote sensing data, J. Open Source Softw., 5, 2123, <ext-link xlink:href="https://doi.org/10.21105/joss.02123" ext-link-type="DOI">10.21105/joss.02123</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>von Albedyll et al.(2024)von Albedyll, Hendricks, Hutter, Murashkin, Kaleschke, Willmes, Thielke, Tian-Kunze, Spreen, and Haas</label><mixed-citation>von Albedyll, L., Hendricks, S., Hutter, N., Murashkin, D., Kaleschke, L., Willmes, S., Thielke, L., Tian-Kunze, X., Spreen, G., and Haas, C.: Lead fractions from SAR-derived sea ice divergence during MOSAiC, The Cryosphere, 18, 1259–1285, <ext-link xlink:href="https://doi.org/10.5194/tc-18-1259-2024" ext-link-type="DOI">10.5194/tc-18-1259-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Wendisch et al.(2023)Wendisch, Brückner, Crewell, Ehrlich, Notholt, Lüpkes, Macke, Burrows, Rinke, Quaas, Maturilli, Schemann, Shupe, and et al.</label><mixed-citation>Wendisch, M., Brückner, M., Crewell, S., Ehrlich, A., Notholt, J., Lüpkes, C., Macke, A., Burrows, J. P., Rinke, A., Quaas, J., Maturilli, M., Schemann, V., Shupe, M. D., Akansu, E. F., Barrientos-Velasco, C., Bärfuss, K., Blechschmidt, A.-M., Block, K., Bougoudis, I., Bozem, H., Böckmann, C., Bracher, A., Bresson, H., Bretschneider, L., Buschmann, M., Chechin, D. G., Chylik, J., Dahlke, S., Deneke, H., Dethloff, K., Donth, T., Dorn, W., Dupuy, R., Ebell, K., Egerer, U., Engelmann, R., Eppers, O., Gerdes, R., Gierens, R., Gorodetskaya, I. V., Gottschalk, M., Griesche, H., Gryanik, V. M., Handorf, D., Harm-Altstädter, B., Hartmann, J., Hartmann, M., Heinold, B., Herber, A., Herrmann, H., Heygster, G., Höschel, I., Hofmann, Z., Hölemann, J., Hünerbein, A., Jafariserajehlou, S., Jäkel, E., Jacobi, C., Janout, M., Jansen, F., Jourdan, O., Jurányi, Z., Kalesse-Los, H., Kanzow, T., Käthner, R., Kliesch, L. L., Klingebiel, M., Knudsen, E. M., Kovács, T., Körtke, W., Krampe, D., Kretzschmar, J., Kreyling, D., Kulla, B., Kunkel, D., Lampert, A., Lauer, M., Lelli, L., von Lerber, A., Linke, O., Löhnert, U., Lonardi, M., Losa, S. N., Losch, M., Maahn, M., Mech, M., Mei, L., Mertes, S., Metzner, E., Mewes, D., Michaelis, J., Mioche, G., Moser, M., Nakoudi, K., Neggers, R., Neuber, R., Nomokonova, T., Oelker, J., Papakonstantinou-Presvelou, I., Pätzold, F., Pefanis, V., Pohl, C., van Pinxteren, M., Radovan, A., Rhein, M., Rex, M., Richter, A., Risse, N., Ritter, C., Rostosky, P., Rozanov, V. V., Ruiz Donoso, E., Saavedra Garfias, P., Salzmann, M., Schacht, J., Schäfer, M., Schneider, J., Schnierstein, N., Seifert, P., Seo, S., Siebert, H., Soppa, M. A., Spreen, G., Stachlewska, I. S., Stapf, J., Stratmann, F., Tegen, I., Viceto, C., Voigt, C., Vountas, M., Walbröl, A., Walter, M., Wehner, B., Wex, H., Willmes, S., Zanatta, M., and Zeppenfeld, S.:: Atmospheric and Surface Processes, and Feedback Mechanisms Determining Arctic Amplification: A Review of First Results and Prospects of the (AC)3 Project, B. Am. Meteorol.l Soc., 104, E208–E242, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-21-0218.1" ext-link-type="DOI">10.1175/BAMS-D-21-0218.1</ext-link>, 2023. </mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Zhang(2024)</label><mixed-citation>Zhang, D.: MWR Retrievals (MWRRET1LILJCLOU), Atmospheric Radiation Measurement (ARM) user facility, <ext-link xlink:href="https://doi.org/10.5439/1027369" ext-link-type="DOI">10.5439/1027369</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Zhang et al.(2024)Zhang, Morris, and Ermold</label><mixed-citation>Zhang, D., Morris, V., and Ermold, B.: Ceilometer (CEIL10M), North Slope Alaska (NSA), Central Facility, Barrow AK (C1), <ext-link xlink:href="https://doi.org/10.5439/1497398" ext-link-type="DOI">10.5439/1497398</ext-link>,  2024.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Zhang et al.(2023)Zhang, Chen, Ting, Ruby Leung, Guan, and Li</label><mixed-citation>Zhang, P., Chen, G., Ting, M., Ruby Leung, L., Guan, B., and Li, L.: More frequent atmospheric rivers slow the seasonal recovery of Arctic sea ice, Nat. Clim. Change, 13, 266–273, <ext-link xlink:href="https://doi.org/10.1038/s41558-023-01599-3" ext-link-type="DOI">10.1038/s41558-023-01599-3</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Zhang and Moore(2011)</label><mixed-citation>Zhang, Z. and Moore, J.: New significance test methods for Fourier analysis of geophysical time series, Nonlin. Processes Geophys., 18, 643–652, <ext-link xlink:href="https://doi.org/10.5194/npg-18-643-2011" ext-link-type="DOI">10.5194/npg-18-643-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Zhong et al.(2024)Zhong, Shi, Yang, Liu, and Yang</label><mixed-citation>Zhong, W., Shi, Q., Yang, Q., Liu, J., and Yang, S.: Wintertime Arctic Sea-Ice Decline Related to Multi-Year La Niña Events, Adv. Atmos. Sci., 41, 1680–1690, <ext-link xlink:href="https://doi.org/10.1007/s00376-024-3194-y" ext-link-type="DOI">10.1007/s00376-024-3194-y</ext-link>, 2024.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Western Arctic wintertime mixed-phase clouds: Observed modulation by sea ice conditions,  long-term variabilities and trends</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Andreas and Cash(1999)</label><mixed-citation>
      
Andreas, E. L. and Cash, B. A.: Convective heat transfer over wintertime leads
and polynyas, J. Geophys. Res.-Oceans, 104, 25721–25734,
<a href="https://doi.org/10.1029/1999JC900241" target="_blank">https://doi.org/10.1029/1999JC900241</a>,  1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Arrhenius(1897)</label><mixed-citation>
      
Arrhenius, S.: On the influence of carbonic acid in the air upon the
temperature of the Earth, Publ. Astron. Soc.
Pac., 9, 14, <a href="https://doi.org/10.1086/121158" target="_blank">https://doi.org/10.1086/121158</a>,  1897.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Cadeddu et al.(2024)Cadeddu, Morris, and Tuftedal</label><mixed-citation>
      
Cadeddu, M., Morris, V., and Tuftedal, M.: Microwave Radiometer (MWRLOS),
Atmospheric Radiation Measurement (ARM) user facility,   <a href="https://doi.org/10.5439/1999490" target="_blank">https://doi.org/10.5439/1999490</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Cesana et al.(2024)Cesana, Pierpaoli, Ottaviani, Vu, Jin, and
Silber</label><mixed-citation>
      
Cesana, G. V., Pierpaoli, O., Ottaviani, M., Vu, L., Jin, Z., and Silber, I.: The correlation between Arctic sea ice, cloud phase and radiation using A-Train satellites, Atmos. Chem. Phys., 24, 7899–7909, <a href="https://doi.org/10.5194/acp-24-7899-2024" target="_blank">https://doi.org/10.5194/acp-24-7899-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Cesana et al.(2025)Cesana, Roach, and
Blanchard-Wrigglesworth</label><mixed-citation>
      
Cesana, G. V., Roach, L. A., and Blanchard-Wrigglesworth, E.: Clouds Are
Crucial to Capture Antarctic Sea Ice Variability, Geophys. Res.
Lett., 52, e2024GL113322, <a href="https://doi.org/10.1029/2024GL113322" target="_blank">https://doi.org/10.1029/2024GL113322</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Chang et al.(2021)Chang, Schultz, Lan, McClure-Begley,
Petropavlovskikh, Xu, and Ziemke</label><mixed-citation>
      
Chang, K.-L., Schultz, M. G., Lan, X., McClure-Begley, A., Petropavlovskikh,
I., Xu, X., and Ziemke, J. R.: Trend detection of atmospheric time series:
Incorporating appropriate uncertainty estimates and handling extreme
events, Elementa: Science of the Anthropocene, 9, 00035,
<a href="https://doi.org/10.1525/elementa.2021.00035" target="_blank">https://doi.org/10.1525/elementa.2021.00035</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Cox et al.(2015)Cox, Walden, Rowe, and Shupe</label><mixed-citation>
      
Cox, C. J., Walden, V. P., Rowe, P. M., and Shupe, M. D.: Humidity trends imply
increased sensitivity to clouds in a warming Arctic, Nat. Commun.,
6, 10117, <a href="https://doi.org/10.1038/ncomms10117" target="_blank">https://doi.org/10.1038/ncomms10117</a>,
2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Deng and Dai(2024)</label><mixed-citation>
      
Deng, J. and Dai, A.: Arctic sea ice–air interactions weaken El
Niño–Southern Oscillation, Sci. Adv., 10, eadk3990,
<a href="https://doi.org/10.1126/sciadv.adk3990" target="_blank">https://doi.org/10.1126/sciadv.adk3990</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Griesche et al.(2020)Griesche, Seifert, Ansmann, Baars,
Barrientos Velasco, Bühl, Engelmann, Radenz, Zhenping, and
Macke</label><mixed-citation>
      
Griesche, H. J., Seifert, P., Ansmann, A., Baars, H., Barrientos Velasco, C., Bühl, J., Engelmann, R., Radenz, M., Zhenping, Y., and Macke, A.: Application of the shipborne remote sensing supersite OCEANET for profiling of Arctic aerosols and clouds during <i>Polarstern</i> cruise PS106, Atmos. Meas. Tech., 13, 5335–5358, <a href="https://doi.org/10.5194/amt-13-5335-2020" target="_blank">https://doi.org/10.5194/amt-13-5335-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Griesche et al.(2024)Griesche, Barrientos-Velasco, Deneke,
Hünerbein, Seifert, and Macke</label><mixed-citation>
      
Griesche, H. J., Barrientos-Velasco, C., Deneke, H., Hünerbein, A., Seifert, P., and Macke, A.: Low-level Arctic clouds: a blind zone in our knowledge of the radiation budget, Atmos. Chem. Phys., 24, 597–612, <a href="https://doi.org/10.5194/acp-24-597-2024" target="_blank">https://doi.org/10.5194/acp-24-597-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Hegerl(2022)</label><mixed-citation>
      
Hegerl, G. C.: Climate change is physics, Commun. Earth Environ.,
3, 1–3, <a href="https://doi.org/10.1038/s43247-022-00342-8" target="_blank">https://doi.org/10.1038/s43247-022-00342-8</a>,  2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Hofer et al.(2024)Hofer, Hahn, Shaw, McGraw, Bruno, Hellmuth,
Pietschnig, Mostue, David, Carlsen, and Storelvmo</label><mixed-citation>
      
Hofer, S., Hahn, L. C., Shaw, J. K., McGraw, Z. S., Bruno, O., Hellmuth, F.,
Pietschnig, M., Mostue, I. A., David, R. O., Carlsen, T., and Storelvmo, T.:
Realistic representation of mixed-phase clouds increases projected climate
warming, Commun. Earth Environ., 5, 1–12,
<a href="https://doi.org/10.1038/s43247-024-01524-2" target="_blank">https://doi.org/10.1038/s43247-024-01524-2</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Illingworth et al.(2007)Illingworth, Hogan, O'Connor, Bouniol,
Brooks, Delanoé, Donovan, Eastment, Gaussiat, Goddard, Haeffelin, Baltink,
Krasnov, Pelon, Piriou, Protat, Russchenberg, Seifert, Tompkins, van
Zadelhoff, Vinit, Willén, Wilson, and
Wrench</label><mixed-citation>
      
Illingworth, A. J., Hogan, R. J., O'Connor, E. J., Bouniol, D., Brooks, M. E.,
Delanoé, J., Donovan, D. P., Eastment, J. D., Gaussiat, N., Goddard, J.
W. F., Haeffelin, M., Baltink, H. K., Krasnov, O. A., Pelon, J., Piriou,
J.-M., Protat, A., Russchenberg, H. W. J., Seifert, A., Tompkins, A. M., van
Zadelhoff, G.-J., Vinit, F., Willén, U., Wilson, D. R., and Wrench, C. L.:
CloudnetContinuous Evaluation of Cloud Profiles in Seven
Operational Models Using Ground-Based Observations, Bull. Amer.
Meteor. Soc., 88, 883–898, <a href="https://doi.org/10.1175/BAMS-88-6-883" target="_blank">https://doi.org/10.1175/BAMS-88-6-883</a>,  2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Jensen et al.(2024)Jensen, Giangrande, Fairless, and
Zhou</label><mixed-citation>
      
Jensen, M., Giangrande, S., Fairless, T., and Zhou, A.: Interpolated Sonde
(INTERPOLATEDSONDE), Atmospheric Radiation Measurement (ARM) user facility,
<a href="https://doi.org/10.5439/1095316" target="_blank">https://doi.org/10.5439/1095316</a>,  2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Johnson et al.(2024)Johnson, Giangrande, and Toto</label><mixed-citation>
      
Johnson, K., Giangrande, S., and Toto, T.: Active Remote Sensing of CLouds
(ARSCL) product using Ka-band ARM Zenith Radars (ARSCLKAZR1KOLLIAS),
Atmospheric Radiation Measurement (ARM) user facility,
<a href="https://doi.org/10.5439/1393437" target="_blank">https://doi.org/10.5439/1393437</a>,  2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>JPL ENSO(2025)</label><mixed-citation>
      
JPL ENSO: El Niño Southern Oscillation index, Jet Propulsion Laboratory,
California Institute of Technology,
<a href="https://sealevel.jpl.nasa.gov/data/vital-signs/el-nino/" target="_blank"/> (last access: 30 April 2025), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>JPL PDO(2025)</label><mixed-citation>
      
JPL PDO: Pacific Decadal Oscillation index, Jet Propulsion Laboratory,
California Institute of Technology,
<a href="https://sealevel.jpl.nasa.gov/data/vital-signs/pacific-decadal-oscillation" target="_blank"/> (last access: 30 April 2025), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Kalesse-Los et al.(2022)Kalesse-Los, Schimmel, Luke, and
Seifert</label><mixed-citation>
      
Kalesse-Los, H., Schimmel, W., Luke, E., and Seifert, P.: Evaluating cloud liquid detection against Cloudnet using cloud radar Doppler spectra in a pre-trained artificial neural network, Atmos. Meas. Tech., 15, 279–295, <a href="https://doi.org/10.5194/amt-15-279-2022" target="_blank">https://doi.org/10.5194/amt-15-279-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Kodaira et al.(2020)Kodaira, Waseda, Nose, and
Inoue</label><mixed-citation>
      
Kodaira, T., Waseda, T., Nose, T., and Inoue, J.: Record high Pacific
Arctic seawater temperatures and delayed sea ice advance in response to
episodic atmospheric blocking, Sci. Rep., 10, 20830,
<a href="https://doi.org/10.1038/s41598-020-77488-y" target="_blank">https://doi.org/10.1038/s41598-020-77488-y</a>,  2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Korolev and Milbrandt(2022)</label><mixed-citation>
      
Korolev, A. and Milbrandt, J.: How are mixed-phase clouds mixed?, Geophys.
Res. Lett., 49, e2022GL099578, <a href="https://doi.org/10.1029/2022GL099578" target="_blank">https://doi.org/10.1029/2022GL099578</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Lapere et al.(2024)Lapere, Marelle, Rampal, Brodeau, Melsheimer,
Spreen, and Thomas</label><mixed-citation>
      
Lapere, R., Marelle, L., Rampal, P., Brodeau, L., Melsheimer, C., Spreen, G., and Thomas, J. L.: Modeling the contribution of leads to sea spray aerosol in the high Arctic, Atmos. Chem. Phys., 24, 12107–12132, <a href="https://doi.org/10.5194/acp-24-12107-2024" target="_blank">https://doi.org/10.5194/acp-24-12107-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Li et al.(2020a)Li, Krueger, Strong, and
Mace</label><mixed-citation>
      
Li, X., Krueger, S. K., Strong, C., and Mace, G. G.: Relationship Between
Wintertime Leads and Low Clouds in the Pan-Arctic, J.
Geophys. Res.-Atmos., 125, e2020JD032595,
<a href="https://doi.org/10.1029/2020JD032595" target="_blank">https://doi.org/10.1029/2020JD032595</a>, 2020a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Li et al.(2020b)Li, Krueger, Strong, Mace, and
Benson</label><mixed-citation>
      
Li, X., Krueger, S. K., Strong, C., Mace, G. G., and Benson, S.: Midwinter
Arctic leads form and dissipate low clouds, Nat. Commun., 11, 206,
<a href="https://doi.org/10.1038/s41467-019-14074-5" target="_blank">https://doi.org/10.1038/s41467-019-14074-5</a>, 2020b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Lubin et al.(2026)Lubin, Zou, Mülmenstädt, Vogelmann, Cadeddu,
and Zhang</label><mixed-citation>
      
Lubin, D., Zou, X., Mülmenstädt, J., Vogelmann, A., Cadeddu, M., and Zhang, D.: Surface radiation trends at North Slope of Alaska influenced by large-scale circulation and atmospheric rivers, Atmos. Chem. Phys., 26, 295–311, <a href="https://doi.org/10.5194/acp-26-295-2026" target="_blank">https://doi.org/10.5194/acp-26-295-2026</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Manaster et al.(2017)Manaster, O’Dell, and
Elsaesser</label><mixed-citation>
      
Manaster, A., O’Dell, C. W., and Elsaesser, G.: Evaluation of Cloud
Liquid Water Path Trends Using a Multidecadal Record of
Passive Microwave Observations, J. Climate,  <a href="https://doi.org/10.1175/JCLI-D-16-0399.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0399.1</a>,  2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Mann et al.(2020)Mann, Steinman, and Miller</label><mixed-citation>
      
Mann, M. E., Steinman, B. A., and Miller, S. K.: Absence of internal
multidecadal and interdecadal oscillations in climate model simulations,
Nat. Commun., 11, 49, <a href="https://doi.org/10.1038/s41467-019-13823-w" target="_blank">https://doi.org/10.1038/s41467-019-13823-w</a>,  2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Melsheimer and Spreen(2019)</label><mixed-citation>
      
Melsheimer, C. and Spreen, G.: AMSR-E ASI sea ice concentration data,
Arctic, version 5.4 (NetCDF) (June 2002–September 2011), Pangaea,
<a href="https://doi.org/10.1594/PANGAEA.899090" target="_blank">https://doi.org/10.1594/PANGAEA.899090</a>,  2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Morrison et al.(2012)Morrison, de Boer, Feingold, Harrington, Shupe,
and Sulia</label><mixed-citation>
      
Morrison, H., de Boer, G., Feingold, G., Harrington, J., Shupe, M. D., and
Sulia, K.: Resilience of persistent Arctic mixed-phase clouds, Nat.
Geosci., 5, 11–17, <a href="https://doi.org/10.1038/ngeo1332" target="_blank">https://doi.org/10.1038/ngeo1332</a>,  2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Nakanishi and Michibata(2025)</label><mixed-citation>
      
Nakanishi, M. and Michibata, T.: How Does Cloud Emissivity Feedback
Affect Present and Future Arctic Warming?, Ocean-Land-Atmosphere
Research, 4, 0089, <a href="https://doi.org/10.34133/olar.0089" target="_blank">https://doi.org/10.34133/olar.0089</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>NOAA AO(2025)</label><mixed-citation>
      
NOAA AO: Artic Oscillation index, National Ocean and Atmospheric
Administration,
<a href="ftp://ftp.cpc.ncep.noaa.gov/cwlinks/norm.daily.ao.cdas.z1000.19500101_current.csv" target="_blank"/> (last access: 30 April 2025), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Notz and Community(2020)</label><mixed-citation>
      
Notz, D. and and SIMIP Community: Arctic Sea Ice in CMIP6, Geophys. Res.
Lett., 47, e2019GL086749, <a href="https://doi.org/10.1029/2019GL086749" target="_blank">https://doi.org/10.1029/2019GL086749</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>O'Connor(2025)</label><mixed-citation>
      
O'Connor, E.: Model data from Barrow from 1 November 2011 to 30 April 2025,
ACTRIS Cloud remote sensing data centre unit (CLU),
<a href="https://hdl.handle.net/21.12132/1.b1fac6f389b740e7" target="_blank"/> (last access: 30 April, 2025), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Palm et al.(2010)Palm, Strey, Spinhirne, and
Markus</label><mixed-citation>
      
Palm, S. P., Strey, S. T., Spinhirne, J., and Markus, T.: Influence of Arctic
sea ice extent on polar cloud fraction and vertical structure and
implications for regional climate, J. Geophys. Res.-Atmos., 115, <a href="https://doi.org/10.1029/2010JD013900" target="_blank">https://doi.org/10.1029/2010JD013900</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Papakonstantinou-Presvelou et al.(2022)Papakonstantinou-Presvelou,
Sourdeval, and Quaas</label><mixed-citation>
      
Papakonstantinou-Presvelou, I., Sourdeval, O., and Quaas, J.: Strong
Ocean/Sea-Ice Contrasts Observed in Satellite-Derived Ice
Crystal Number Concentrations in Arctic Ice Boundary-Layer
Clouds, Geophys. Res. Lett., 49, e2022GL098207,
<a href="https://doi.org/10.1029/2022GL098207" target="_blank">https://doi.org/10.1029/2022GL098207</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Pithan et al.(2014)Pithan, Medeiros, and Mauritsen</label><mixed-citation>
      
Pithan, F., Medeiros, B., and Mauritsen, T.: Mixed-phase clouds cause climate
model biases in Arctic wintertime temperature inversions, Clim. Dynam.,
43, 289–303, <a href="https://doi.org/10.1007/s00382-013-1964-9" target="_blank">https://doi.org/10.1007/s00382-013-1964-9</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Rantanen et al.(2022)Rantanen, Karpechko, Lipponen, Nordling,
Hyvärinen, Ruosteenoja, Vihma, and Laaksonen</label><mixed-citation>
      
Rantanen, M., Karpechko, A. Y., Lipponen, A., Nordling, K., Hyvärinen, O.,
Ruosteenoja, K., Vihma, T., and Laaksonen, A.: The Arctic has warmed nearly
four times faster than the globe since 1979, Commun. Earth
Environ., 3, 1–10, <a href="https://doi.org/10.1038/s43247-022-00498-3" target="_blank">https://doi.org/10.1038/s43247-022-00498-3</a>,  2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Riihimaki et al.(2024)Riihimaki, Zhang, and
Gaustad</label><mixed-citation>
      
Riihimaki, L., Zhang, D., and Gaustad, K.: Radiative Flux Analysis
(RADFLUX1LONG), North Slope Alaska (NSA), Central Facility, Barrow AK (C1),
Tech. rep., <a href="https://doi.org/10.5439/1395159" target="_blank">https://doi.org/10.5439/1395159</a>,  2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Rogers and Yau(1991)</label><mixed-citation>
      
Rogers, R. and Yau, M.: A Short Course in Clouds Physics, Pergamon Press, 3rd
edn., ISBN 0-08-034863-7, 1991.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Saavedra Garfias(2022)</label><mixed-citation>
      
Saavedra Garfias, P.: CloudnetTools.jl: Julia toolbox to apply Cloudnet to data
from the Atmospheric Radiation Measurement (ARM) facility,
Zenodo [code], <a href="https://doi.org/10.5281/zenodo.7245670" target="_blank">https://doi.org/10.5281/zenodo.7245670</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Saavedra Garfias(2026a)</label><mixed-citation>
      
Saavedra Garfias, P.: Source code for processing and long-term trend analysis
of the interaction between mixed-phase clouds and sea ice at the ARM NSA
site,  Zenodo [code],  <a href="https://doi.org/10.5281/zenodo.22871849" target="_blank">https://doi.org/10.5281/zenodo.22871849</a>, 2026a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Saavedra Garfias(2026b)</label><mixed-citation>
      
Saavedra Garfias, P.: Wintertime Arctic cloud properties coupled to sea ice at
the ARM NSA site from 2011 to 2025,  Zenodo [data set], <a href="https://doi.org/10.5281/zenodo.22905666" target="_blank">https://doi.org/10.5281/zenodo.22905666</a>,
2026b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Saavedra Garfias and Kalesse-Los(2023)</label><mixed-citation>
      
Saavedra Garfias, P. and Kalesse-Los, H.: Wintertime Arctic cloud properties
coupled to sea ice leads during MOSAiC expedition, Harvard Dataverse,
<a href="https://doi.org/10.7910/DVN/DZSUV7" target="_blank">https://doi.org/10.7910/DVN/DZSUV7</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Saavedra Garfias and Kalesse-Los(2024)</label><mixed-citation>
      
Saavedra Garfias, P. and Kalesse-Los, H.: Long-term statistical analysis of
wintertime cloud thermodynamic phase and micro-physical properties in
relation to sea ice condition at NSA Utqiaǵvik site, ESS Open Archive,
<a href="https://doi.org/10.22541/essoar.170516166.65463592/v1" target="_blank">https://doi.org/10.22541/essoar.170516166.65463592/v1</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Saavedra Garfias et al.(2023)Saavedra Garfias, Kalesse-Los, von
Albedyll, Griesche, and Spreen</label><mixed-citation>
      
Saavedra Garfias, P., Kalesse-Los, H., von Albedyll, L., Griesche, H., and Spreen, G.: Asymmetries in cloud microphysical properties ascribed to sea ice leads via water vapour transport in the central Arctic, Atmos. Chem. Phys., 23, 14521–14546, <a href="https://doi.org/10.5194/acp-23-14521-2023" target="_blank">https://doi.org/10.5194/acp-23-14521-2023</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Saavedra Garfias et al.(2024)Saavedra Garfias, Kalesse-Los, and
Ebell</label><mixed-citation>
      
Saavedra Garfias, P., Kalesse-Los, H., and Ebell, K.: Estimation of wintertime
cloud radiative effects in the Western Arctic, a function of
cloud-moisture-coupling and sea ice conditions, AIP Conference Proceedings,
2988, 070008, <a href="https://doi.org/10.1063/5.0182751" target="_blank">https://doi.org/10.1063/5.0182751</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Schäfer et al.(2025)Schäfer, David, Hodnebrog, and
Storelvmo</label><mixed-citation>
      
Schäfer, B., David, R. O., Hodnebrog, Ø., and Storelvmo, T.: Response of
an Arctic Mixed-Phase Cloud to Ice-Nucleating Particle Perturbations and
Warming, Geophys. Res. Lett., 52, e2024GL114467,
<a href="https://doi.org/10.1029/2024GL114467" target="_blank">https://doi.org/10.1029/2024GL114467</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Schemann and Ebell(2020)</label><mixed-citation>
      
Schemann, V. and Ebell, K.: Simulation of mixed-phase clouds with the ICON large-eddy model in the complex Arctic environment around Ny-Ålesund, Atmos. Chem. Phys., 20, 475–485, <a href="https://doi.org/10.5194/acp-20-475-2020" target="_blank">https://doi.org/10.5194/acp-20-475-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Schimmel et al.(2022)Schimmel, Kalesse-Los, Maahn, Vogl, Foth,
Garfias, and Seifert</label><mixed-citation>
      
Schimmel, W., Kalesse-Los, H., Maahn, M., Vogl, T., Foth, A., Garfias, P. S., and Seifert, P.: Identifying cloud droplets beyond lidar attenuation from vertically pointing cloud radar observations using artificial neural networks, Atmos. Meas. Tech., 15, 5343–5366, <a href="https://doi.org/10.5194/amt-15-5343-2022" target="_blank">https://doi.org/10.5194/amt-15-5343-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Serreze and Barry(2011)</label><mixed-citation>
      
Serreze, M. C. and Barry, R. G.: Processes and impacts of Arctic
amplification: A research synthesis, Global Planet. Change, 77,
85–96, <a href="https://doi.org/10.1016/j.gloplacha.2011.03.004" target="_blank">https://doi.org/10.1016/j.gloplacha.2011.03.004</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Serreze and Barry(2014)</label><mixed-citation>
      
Serreze, M. C. and Barry, R. G.: The Arctic climate system, Cambridge
atmospheric and space science series, Cambridge university press, New York,
2nd edn., ISBN 9781107037175 9781139950367, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Serreze and Francis(2006)</label><mixed-citation>
      
Serreze, M. C. and Francis, J. A.: The Arctic Amplification Debate, Clim.
Change, 76, 241–264, <a href="https://doi.org/10.1007/s10584-005-9017-y" target="_blank">https://doi.org/10.1007/s10584-005-9017-y</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Serreze et al.(1993)Serreze, Box, Barry, and
Walsh</label><mixed-citation>
      
Serreze, M. C., Box, J. E., Barry, R. G., and Walsh, J. E.: Characteristics of
Arctic synoptic activity, 1952–1989, Meteorol. Atmos. Phys.,
51, 147–164, <a href="https://doi.org/10.1007/BF01030491" target="_blank">https://doi.org/10.1007/BF01030491</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Shi et al.(2024)Shi, Howie, Goldberger, and Morris</label><mixed-citation>
      
Shi, Y., Howie, J., Goldberger, L., and Morris, V.: Infrared Thermometer
(GNDIRT), North Slope Alaska (NSA), Central Facility, Barrow AK (C1),
<a href="https://doi.org/10.5439/1366509" target="_blank">https://doi.org/10.5439/1366509</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Shupe and Intrieri(2004)</label><mixed-citation>
      
Shupe, M. D. and Intrieri, J. M.: Cloud Radiative Forcing of the Arctic
Surface: The Influence of Cloud Properties, Surface Albedo, and
Solar Zenith Angle, J. Climate, 17, 616–628,
<a href="https://doi.org/10.1175/1520-0442(2004)017&lt;0616:CRFOTA&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0442(2004)017&lt;0616:CRFOTA&gt;2.0.CO;2</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Shupe et al.(2006)Shupe, Matrosov, and Uttal</label><mixed-citation>
      
Shupe, M. D., Matrosov, S. Y., and Uttal, T.: Arctic mixed-phase cloud
properties derived from surface-based sensors at SHEBA, J. Atmos. Sci., 63,
697–711, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Shupe et al.(2011)Shupe, Walden, Eloranta, Uttal, Campbell,
Starkweather, and Shiobara</label><mixed-citation>
      
Shupe, M. D., Walden, V. P., Eloranta, E., Uttal, T., Campbell, J. R.,
Starkweather, S. M., and Shiobara, M.: Clouds at Arctic Atmospheric
Observatories. Part I: Occurrence and Macrophysical Properties, J.
Appl. Meteorol. Climatol., 50, 626–644,
<a href="https://doi.org/10.1175/2010JAMC2467.1" target="_blank">https://doi.org/10.1175/2010JAMC2467.1</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Shupe et al.(2022)Shupe, Rex, Blomquist, Persson, Schmale, Uttal,
Althausen, Angot, and et al.</label><mixed-citation>
      
Shupe, M. D., Rex, M., Blomquist, B., Persson, P. O. G., Schmale, J., Uttal, T., Althausen, D., Angot, H., Archer, S., Bariteau, L., Beck, I., Bilberry, J., Bucci, S., Buck, C., Boyer, M., Brasseur, Z., Brooks, I. M., Calmer, R., Cassano, J., Castro, V., Chu, D., Costa, D., Cox, C. J., Creamean, J., Crewell, S., Dahlke, S., Damm, E., de Boer, G., Deckelmann, H., Dethloff, K., Dütsch, M., Ebell, K., Ehrlich, A., Ellis, J., Engelmann, R., Fong, A. A., Frey, M. M., Gallagher, M. R., Ganzeveld, L., Gradinger, R., Graeser, J., Greenamyer, V., Griesche, H., Griffiths, S., Hamilton, J., Heinemann, G., Helmig, D., Herber, A., Heuzé, C., Hofer, J., Houchens, T., Howard, D., Inoue, J., Jacobi, H.-W., Jaiser, R., Jokinen, T., Jourdan, O., Jozef, G., King, W., Kirchgaessner, A., Klingebiel, M., Krassovski, M., Krumpen, T., Lampert, A., Landing, W., Laurila, T., Lawrence, D., Lonardi, M., Loose, B., Lüpkes, C., Maahn, M., Macke, A., Maslowski, W., Marsay, C., Maturilli, M., Mech, M., Morris, S., Moser, M., Nicolaus, M., Ortega, P., Osborn, J., Pätzold, F., Perovich, D. K., Petäjä, T., Pilz, C., Pirazzini, R., Posman, K., Powers, H., Pratt, K. A., Preußer, A., Quéléver, L., Radenz, M., Rabe, B., Rinke, A., Sachs, T., Schulz, A., Siebert, H., Silva, T., Solomon, A., Sommerfeld, A., Spreen, G., Stephens, M., Stohl, A., Svensson, G., Uin, J., Viegas, J., Voigt, C., von der Gathen, P., Wehner, B., Welker, J. M., Wendisch, M., Werner, M., Xie, Z., and Yue, F.:: Overview of the MOSAiC
expedition – Atmosphere, Elementa: Science of the Anthropocene, 10,
00060, <a href="https://doi.org/10.1525/elementa.2021.00060" target="_blank">https://doi.org/10.1525/elementa.2021.00060</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Spiess and Neumeyer(2010)</label><mixed-citation>
      
Spiess, A.-N. and Neumeyer, N.: An evaluation of R2 as an inadequate measure
for nonlinear models in pharmacological and biochemical research: a Monte
Carlo approach, BMC Pharmacol., 10, 6, <a href="https://doi.org/10.1186/1471-2210-10-6" target="_blank">https://doi.org/10.1186/1471-2210-10-6</a>,
2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Spreen et al.(2008)Spreen, Kaleschke, and
Heygster</label><mixed-citation>
      
Spreen, G., Kaleschke, L., and Heygster, G.: Sea ice remote sensing using
AMSR-E 89-GHz channels, J. Geophys. Res.-Oceans, 113,
<a href="https://doi.org/10.1029/2005JC003384" target="_blank">https://doi.org/10.1029/2005JC003384</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Tan and Storelvmo(2019)</label><mixed-citation>
      
Tan, I. and Storelvmo, T.: Evidence of Strong Contributions From Mixed-Phase
Clouds to Arctic Climate Change, Geophys. Res. Lett., 46,
2894–2902, <a href="https://doi.org/10.1029/2018GL081871" target="_blank">https://doi.org/10.1029/2018GL081871</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Tan et al.(2023)Tan, Sotiropoulou, Taylor, Zamora, and
Wendisch</label><mixed-citation>
      
Tan, I., Sotiropoulou, G., Taylor, P. C., Zamora, L., and Wendisch, M.: A
Review of the Factors Influencing Arctic Mixed-Phase Clouds: Progress and
Outlook, Chap. 5, pp. 103–132, American Geophysical Union (AGU), ISBN
9781119700357, <a href="https://doi.org/10.1002/9781119700357.ch5" target="_blank">https://doi.org/10.1002/9781119700357.ch5</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Tan et al.(2025)Tan, Zhou, Lamy, and Stauffer</label><mixed-citation>
      
Tan, I., Zhou, C., Lamy, A., and Stauffer, C. L.: Moderate climate sensitivity
due to opposing mixed-phase cloud feedbacks, npj Clim. Atmos.
Sci., 8, 1–6, <a href="https://doi.org/10.1038/s41612-025-00948-7" target="_blank">https://doi.org/10.1038/s41612-025-00948-7</a>,  2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Timmermann et al.(2018)Timmermann, An, Kug, Jin, Cai, Capotondi, and
et. alli</label><mixed-citation>
      
Timmermann, A., An, S.-I., Kug, J.-S., Jin, F.-F., Cai, W., Capotondi, A., Cobb, K. M., Lengaigne, M., McPhaden, M. J., Stuecker, M. F., Stein, K., Wittenberg, A. T., Yun, K.-S., Bayr, T., Chen, H.-C., Chikamoto, Y., Dewitte, B., Dommenget, D., Grothe, P., Guilyardi, E., Ham, Y.-G., Hayashi, M., Ineson, S., Kang, D., Kim, S., Kim, W., Lee, J.-Y., Li, T., Luo, J.-J., McGregor, S., Planton, Y., Power, S., Rashid, H., Ren, H.-L., Santoso, A., Takahashi, K., Todd, A., Wang, G., Wang, G., Xie, R., Yang, W.-H., Yeh, S.-W., Yoon, J., Zeller, E., and Zhang, X.:: El Niño–Southern Oscillation complexity, Nature, 559,
535–545, <a href="https://doi.org/10.1038/s41586-018-0252-6" target="_blank">https://doi.org/10.1038/s41586-018-0252-6</a>,   2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Tobo et al.(2024)Tobo, Adachi, Kawai, Matsui, Ohata, Oshima, Kondo,
Hermansen, Uchida, Inoue, and Koike</label><mixed-citation>
      
Tobo, Y., Adachi, K., Kawai, K., Matsui, H., Ohata, S., Oshima, N., Kondo, Y.,
Hermansen, O., Uchida, M., Inoue, J., and Koike, M.: Surface warming in
Svalbard may have led to increases in highly active ice-nucleating
particles, Commun. Earth  Environ., 5, 516,
<a href="https://doi.org/10.1038/s43247-024-01677-0" target="_blank">https://doi.org/10.1038/s43247-024-01677-0</a>,   2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Toto and Giangrande(2024)</label><mixed-citation>
      
Toto, T. and Giangrande, S.: Ka-Band ARM Zenith RADAR (KAZR) CF-Radial,
Corrected VAP (KAZRCFRCORGE), <a href="https://doi.org/10.5439/1560129" target="_blank">https://doi.org/10.5439/1560129</a>,
2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Tukiainen et al.(2020)Tukiainen, O'Connor, and
Korpinen</label><mixed-citation>
      
Tukiainen, S., O'Connor, E., and Korpinen, A.: CloudnetPy: A Python
package for processing cloud remote sensing data, J. Open Source
Softw., 5, 2123, <a href="https://doi.org/10.21105/joss.02123" target="_blank">https://doi.org/10.21105/joss.02123</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>von Albedyll et al.(2024)von Albedyll, Hendricks, Hutter, Murashkin,
Kaleschke, Willmes, Thielke, Tian-Kunze, Spreen, and Haas</label><mixed-citation>
      
von Albedyll, L., Hendricks, S., Hutter, N., Murashkin, D., Kaleschke, L., Willmes, S., Thielke, L., Tian-Kunze, X., Spreen, G., and Haas, C.: Lead fractions from SAR-derived sea ice divergence during MOSAiC, The Cryosphere, 18, 1259–1285, <a href="https://doi.org/10.5194/tc-18-1259-2024" target="_blank">https://doi.org/10.5194/tc-18-1259-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Wendisch et al.(2023)Wendisch, Brückner, Crewell, Ehrlich, Notholt,
Lüpkes, Macke, Burrows, Rinke, Quaas, Maturilli, Schemann, Shupe, and et
al.</label><mixed-citation>
      
Wendisch, M., Brückner, M., Crewell, S., Ehrlich, A., Notholt, J., Lüpkes, C., Macke, A., Burrows, J. P., Rinke, A., Quaas, J., Maturilli, M., Schemann, V., Shupe, M. D., Akansu, E. F., Barrientos-Velasco, C., Bärfuss, K., Blechschmidt, A.-M., Block, K., Bougoudis, I., Bozem, H., Böckmann, C., Bracher, A., Bresson, H., Bretschneider, L., Buschmann, M., Chechin, D. G., Chylik, J., Dahlke, S., Deneke, H., Dethloff, K., Donth, T., Dorn, W., Dupuy, R., Ebell, K., Egerer, U., Engelmann, R., Eppers, O., Gerdes, R., Gierens, R., Gorodetskaya, I. V., Gottschalk, M., Griesche, H., Gryanik, V. M., Handorf, D., Harm-Altstädter, B., Hartmann, J., Hartmann, M., Heinold, B., Herber, A., Herrmann, H., Heygster, G., Höschel, I., Hofmann, Z., Hölemann, J., Hünerbein, A., Jafariserajehlou, S., Jäkel, E., Jacobi, C., Janout, M., Jansen, F., Jourdan, O., Jurányi, Z., Kalesse-Los, H., Kanzow, T., Käthner, R., Kliesch, L. L., Klingebiel, M., Knudsen, E. M., Kovács, T., Körtke, W., Krampe, D., Kretzschmar, J., Kreyling, D., Kulla, B., Kunkel, D., Lampert, A., Lauer, M., Lelli, L., von Lerber, A., Linke, O., Löhnert, U., Lonardi, M., Losa, S. N., Losch, M., Maahn, M., Mech, M., Mei, L., Mertes, S., Metzner, E., Mewes, D., Michaelis, J., Mioche, G., Moser, M., Nakoudi, K., Neggers, R., Neuber, R., Nomokonova, T., Oelker, J., Papakonstantinou-Presvelou, I., Pätzold, F., Pefanis, V., Pohl, C., van Pinxteren, M., Radovan, A., Rhein, M., Rex, M., Richter, A., Risse, N., Ritter, C., Rostosky, P., Rozanov, V. V., Ruiz Donoso, E., Saavedra Garfias, P., Salzmann, M., Schacht, J., Schäfer, M., Schneider, J., Schnierstein, N., Seifert, P., Seo, S., Siebert, H., Soppa, M. A., Spreen, G., Stachlewska, I. S., Stapf, J., Stratmann, F., Tegen, I., Viceto, C., Voigt, C., Vountas, M., Walbröl, A., Walter, M., Wehner, B., Wex, H., Willmes, S., Zanatta, M., and Zeppenfeld, S.:: Atmospheric and Surface Processes, and
Feedback Mechanisms Determining Arctic Amplification: A Review of First
Results and Prospects of the (AC)3 Project, B. Am.
Meteorol.l Soc., 104, E208–E242, <a href="https://doi.org/10.1175/BAMS-D-21-0218.1" target="_blank">https://doi.org/10.1175/BAMS-D-21-0218.1</a>,
2023.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Zhang(2024)</label><mixed-citation>
      
Zhang, D.: MWR Retrievals (MWRRET1LILJCLOU), Atmospheric Radiation Measurement
(ARM) user facility, <a href="https://doi.org/10.5439/1027369" target="_blank">https://doi.org/10.5439/1027369</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Zhang et al.(2024)Zhang, Morris, and Ermold</label><mixed-citation>
      
Zhang, D., Morris, V., and Ermold, B.: Ceilometer (CEIL10M), North Slope Alaska
(NSA), Central Facility, Barrow AK (C1), <a href="https://doi.org/10.5439/1497398" target="_blank">https://doi.org/10.5439/1497398</a>,  2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Zhang et al.(2023)Zhang, Chen, Ting, Ruby Leung, Guan, and
Li</label><mixed-citation>
      
Zhang, P., Chen, G., Ting, M., Ruby Leung, L., Guan, B., and Li, L.: More
frequent atmospheric rivers slow the seasonal recovery of Arctic sea ice,
Nat. Clim. Change, 13, 266–273, <a href="https://doi.org/10.1038/s41558-023-01599-3" target="_blank">https://doi.org/10.1038/s41558-023-01599-3</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Zhang and Moore(2011)</label><mixed-citation>
      
Zhang, Z. and Moore, J.: New significance test methods for Fourier analysis of geophysical time series, Nonlin. Processes Geophys., 18, 643–652, <a href="https://doi.org/10.5194/npg-18-643-2011" target="_blank">https://doi.org/10.5194/npg-18-643-2011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Zhong et al.(2024)Zhong, Shi, Yang, Liu, and
Yang</label><mixed-citation>
      
Zhong, W., Shi, Q., Yang, Q., Liu, J., and Yang, S.: Wintertime Arctic
Sea-Ice Decline Related to Multi-Year La Niña Events,
Adv. Atmos. Sci., 41, 1680–1690,
<a href="https://doi.org/10.1007/s00376-024-3194-y" target="_blank">https://doi.org/10.1007/s00376-024-3194-y</a>, 2024.

    </mixed-citation></ref-html>--></article>
