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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2026.1760724</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Brief Research Report</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Sea-ice discontinuity in ERA5 during 1978&#x2013;1979 and its impacts in the Sea of Okhotsk</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Iwabuchi</surname><given-names>Yusuke</given-names></name>
<uri xlink:href="https://loop.frontiersin.org/people/3175906/overview"/>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Iwasaki</surname><given-names>Shinsuke</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<aff id="aff1"><institution>Muroran Institute of Technology, 27-1 Mizumoto-cho</institution>, <city>Muroran-shi</city>, <state>Hokkaido</state>,&#xa0;<country country="jp">Japan</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Shinsuke Iwasaki, <email xlink:href="mailto:iwasaki-s@muroran-it.ac.jp">iwasaki-s@muroran-it.ac.jp</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-27">
<day>27</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>13</volume>
<elocation-id>1760724</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>09</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Iwabuchi and Iwasaki.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Iwabuchi and Iwasaki</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-27">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>The European Centre for Medium-Range Weather Forecasts (ECMWF) Reanalysis version 5 (ERA5) is one of the most widely used atmospheric reanalysis datasets provided by the ECMWF. However, the transition in the sea ice dataset between 1978 and 1979 may introduce inconsistencies that affect various surface meteorological variables. This study evaluated ERA5 sea ice data in the Sea of Okhotsk (SO), focusing on the years 1978 and 1979. Furthermore, the impact of this sea ice transition on meteorological variables was evaluated. In 1979, ERA5 sea ice coverage reached the coastal areas of Hokkaido in the southern SO, with an extent of approximately 1.1 &#xd7; 10<sup>6</sup> km&#xb2;. In contrast, an unrealistically low sea ice cover of approximately 0.5 &#xd7; 10<sup>6</sup> km&#xb2; was observed before 1978. This discontinuity in sea ice stems primarily from issues with assimilated sea ice data used in ERA5. In 1978, the unrealistic negative bias in sea ice cover arguably contributed to positive biases in significant wave height, sea surface temperature, surface air temperature, and surface winds. In the case of wave observations, from 1975 to 1978, ERA5 overestimated significant wave height by more than 60% compared to observations from February to April when sea ice was present. These findings highlight the need for caution when analyzing long-term changes in ice-covered areas when using ERA5 data, particularly for periods before 1979.</p>
</abstract>
<kwd-group>
<kwd>ERA5</kwd>
<kwd>ocean surface wave</kwd>
<kwd>sea ice</kwd>
<kwd>Sea of Okhotsk</kwd>
<kwd>surface meteorological variables</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="4"/>
<table-count count="0"/>
<equation-count count="2"/>
<ref-count count="25"/>
<page-count count="7"/>
<word-count count="3789"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Coastal Ocean Processes</meta-value>
</custom-meta>
</custom-meta-group>
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</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The Sea of Okhotsk (SO) is a seasonal sea-ice region, where sea ice forms from November to March before retreating. It is recognized as the world&#x2019;s lowest-latitude sea-ice area (<xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1A&#x2013;G</bold></xref>). Although sea ice in the SO exhibits significant interannual variability, its maximum annual extent has decreased by 3.4% per decade since the 1970s when considered over the long term<xref ref-type="fn" rid="fn1"><sup>1</sup></xref>. Furthermore, sea ice is projected to continue decreasing in the future (<xref ref-type="bibr" rid="B16">Narita and Iwasaki, 2026</xref>). Sea ice is considered to act as a natural breakwater floating on the sea due to its wave-attenuating effect (<xref ref-type="bibr" rid="B11">Iwasaki, 2022</xref>). Recent studies have revealed that the reduction in sea ice in the SO has led to an increase in wave power in this region during winter, at a rate of 12&#x2013;15% per decade (<xref ref-type="bibr" rid="B12">Iwasaki, 2023</xref>). Waves are not only indicators of climate but also critical factors influencing interactions between the atmosphere and the ocean at a climatic scale. Understanding long-term trends in sea surface waves is crucial for the effective management of coastal areas and the safety and efficiency of offshore operations. In particular, in the modern era, where the impacts of climate change are becoming increasingly pronounced, long-term changes in sea surface waves are receiving increasing attention.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p><bold>(A&#x2013;G)</bold> Monthly average sea ice concentration (%) from December to June based on 46 years (1979&#x2013;2024) of ERA5 data, with contours indicating sea ice concentration at 10% intervals. <bold>(H)</bold> is an enlarged view of the red square in <bold>(G)</bold>, showing the location of the NOWPHAS Monbetsu Port buoy (44.416&#xb0;N, 143.432&#xb0;E) marked by a red circle.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1760724-g001.tif">
<alt-text content-type="machine-generated">Seven regional maps (A&#x2013;G) depict monthly sea ice concentration percentages from December to June, using blue gradients and contour lines for percentages. Panel H shows a detailed map highlighting Monbetsu Area in red with coordinates.</alt-text>
</graphic></fig>
<p>The role of reanalysis in climate monitoring applications is widely recognized (e.g., <xref ref-type="bibr" rid="B14">Keller and Wahl, 2021</xref>; <xref ref-type="bibr" rid="B25">Zandler et&#xa0;al., 2019</xref>). Among the widely used reanalysis datasets is the European Centre for Medium-Range Weather Forecasts (ECMWF) Reanalysis version 5 (ERA5), a next-generation product from ECMWF (<xref ref-type="bibr" rid="B7">Hersbach et&#xa0;al., 2020</xref>). Reanalyses provide consistent historical climate data by applying a fixed data assimilation system to all available observations, enabling the assessment of observational network changes, validation of model improvements, and evaluation of forecast skill against a homogeneous reference.</p>
<p>Studies on long-term wave characteristics using ERA5 have been conducted for various marine areas, including the coastal regions of China (<xref ref-type="bibr" rid="B4">Du et&#xa0;al., 2024</xref>), India (<xref ref-type="bibr" rid="B2">Anusree and Sanil Kumar, 2024</xref>), the Eastern Tropical Atlantic (<xref ref-type="bibr" rid="B18">Omonigbehin et&#xa0;al., 2024</xref>), the Mediterranean Sea (<xref ref-type="bibr" rid="B3">Barbariol et&#xa0;al., 2021</xref>), the South China Sea (<xref ref-type="bibr" rid="B15">Liu et&#xa0;al., 2022</xref>), coastal waters around Japan (<xref ref-type="bibr" rid="B22">Tanaka et&#xa0;al., 2023</xref>), and global ocean (<xref ref-type="bibr" rid="B6">Erikson et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B19">Patra et&#xa0;al., 2020</xref>). However, to date, no studies have focused on long-term wave changes in SO using ERA5. Furthermore, since ERA5 provides data from 1940 onward, it has the advantage of enabling wave analyses spanning more than 80 years. <xref ref-type="bibr" rid="B12">Iwasaki (2023)</xref> examined a 40-year period starting in the 1980s, leaving trends before that period unresolved.</p>
<p>When analyzing long-term wave fluctuations in sea-ice regions, such as the SO, using ERA5, the following concerns arise. Performing wave calculations for sea-ice regions requires both surface winds and sea-ice data. Although ERA5 uses sea-ice data as the sea-surface boundary condition, the data source varies by period (<xref ref-type="bibr" rid="B8">Hirahara et&#xa0;al., 2016</xref>). The earlier period (January 1940&#x2013;December 1978) relies solely on HadISST2 (<xref ref-type="bibr" rid="B23">Titchner and Rayner, 2014</xref>). For the latter period (January 1979&#x2013;August 2007), data created by the Ocean and Sea Ice Satellite Application Facilities (OSI-SAF) of the European Organisation for the Exploitation of Meteorological Satellites (OSI-409-a) are introduced (<xref ref-type="bibr" rid="B5">Eastwood et&#xa0;al., 2014</xref>). Due to differences in factors such as satellite data usage, the spatiotemporal resolution differs significantly between HadISST2 and OSI-409-a (HadISST2: monthly, 1&#xb0;; OSI-409-a: daily, 10 km). Switching between these datasets raises concerns about introducing artificial discontinuities in sea ice, which could, in turn, affect wave fields that use sea ice as a surface boundary condition. Furthermore, sea ice is thought to influence not only wave fields but also various meteorological variables such as sea surface temperature, surface air temperature, and surface winds. Since the period before 1979 predates the satellite observation era, limited data is available for this timeframe. Therefore, results based on pre-satellite observation data should be interpreted with caution.</p>
<p>This study analyzes long-term changes in sea ice in the SO using ERA5 data from 1940 onward, with a particular focus on the 1978&#x2013;1979 period, when the sea ice dataset was changed. Since ERA5 uses different sea-ice datasets around 1979, this period represents a key turning point for verifying the consistency of the reanalysis data. In addition, to evaluate whether the switch in sea ice data affects the reliability of wave fields, we compared ERA5 wave fields with observational data from the Nationwide Port and Coastal Wave Information Network (NOWPHAS). Furthermore, in addition to the impact of sea ice on wave fields, we also evaluated its contribution to sea surface temperature, surface air temperature, and surface winds.</p>
</sec>
<sec id="s2">
<title>Methods</title>
<p>In this study, we used ERA5 data for the entire SO (135&#xb0;&#x2013;165&#xb0;E, 42&#xb0;&#x2013;63&#xb0;N; Entire region in <xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1A&#x2013;G</bold></xref>). The dataset includes sea-ice concentration, significant wave height (SWH) encompassing both wind waves and swells, mean wave period (MWP), sea surface temperature, 2-m air temperature, and surface winds (10-m winds). The data cover 85 years, from 1940 to 2024, with a temporal resolution of monthly averages. The spatial resolution is 0.5&#xb0; &#xd7; 0.5&#xb0;for wave fields and 0.25&#xb0; &#xd7; 0.25&#xb0;for other meteorological variables. However, for SWH and MWP, hourly data were used when comparing with NOWPHAS wave observations. The ERA5 wave parameters, SWH (Hs) and MWP (Tm), were determined using the following equations:</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>H</mml:mtext><mml:mtext>s</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:msqrt><mml:mrow><mml:msub><mml:mtext>m</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>T</mml:mtext><mml:mtext>m</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>m</mml:mtext><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="eq1">Equations 1</xref> and <xref ref-type="disp-formula" rid="eq2">2</xref>, <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the moment of order <italic>n</italic> of the wave spectrum <italic>F</italic>(f, &#x3b8;), which describes the distribution of wave energy as a function of frequency <italic>f</italic> and propagation direction <italic>&#x3b8;</italic>. The mean period used in this study is based on the second moment of the wave spectrum.</p>
<p>The ERA5 wave model calculates wave generation and propagation only when sea-ice concentration is below 30%, solving wind-generated waves using a discrete spectrum of 24 directions &#xd7; 30 frequencies. However, wave&#x2013;sea-ice interactions are not explicitly parameterized (<xref ref-type="bibr" rid="B9">Ho&#x161;ekov&#xe1; et&#xa0;al., 2021</xref>). Therefore, when the sea ice concentration is &#x2265; 30%, wave field calculations are not performed.</p>
<p>Furthermore, for the validation of ERA5 wave data, observational data from NOWPHAS, operated by the Ministry of Land, Infrastructure, Transport and Tourism&#x2019;s Port and Harbor Bureau, were used, particularly data from coastal areas in northern Hokkaido (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1H</bold></xref>). In this study, we used two-hourly SWH and MWP data obtained from NOWPHAS, which were calculated based on zero-crossing analysis. The observation is located at 44.416&#xb0;N, 143.432&#xb0;E, with an observation depth of 52 m and a distance from the coast of 9,590 m. Observational data for 27 years, from 1975 to 2001, were used. However, because this study focused on the period from 1978 to 1979, the analysis primarily used data from the preceding and following years, specifically from 1975 to 1982. Although the observational records do not cover the entire long-term period, data up to 2001 are available. Therefore, data up to 2001 were used for trend comparisons with ERA5. The observational data were measured using a bottom-mounted ultrasonic wave (USW) gauge, a widely employed instrument (jointly developed by the Kaijo Co. and PHRI in the1960s), which determines wave surface elevation precisely by measuring the time for an ultrasonic wave to travel between the seabed and water surface. Only normal data with flag &#x201c;0&#x201d; were used for the NOWPHAS observation data. Wave observation data are also available at a site located just south (44.318&#xb0;N, 143.607&#xb0;E) of the study observation point. However, this data covers the period after 2000 and therefore fall outside the focus period of this study and was not used.</p>
<p>As noted in the Introduction, the data sources for ERA5 sea ice differ around 1979. Therefore, to obtain the assimilated data for ERA5 sea-ice, HadISST version 2.1.0.0 (<xref ref-type="bibr" rid="B23">Titchner and Rayner, 2014</xref>) was used. The data period is 1978 and 1979, before and after the addition of OSI-409-a. Additionally, although not incorporated in ERA5, we used the latest update of HadISST for the same period (1978 and 1979), HadISST version 2.2.2.0 (<ext-link ext-link-type="uri" xlink:href="https://www.metoffice.gov.uk/hadobs/hadisst2/data/download.html">https://www.metoffice.gov.uk/hadobs/hadisst2/data/download.html</ext-link>).</p>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Sea ice</title>
<p>Long-term changes in sea-ice area (1940&#x2013;2024) based on ERA5 data showed that the 1978 sea-ice area was approximately 0.5&#xd7;10<sup>6</sup> km&#xb2;, while in 1979 it increased to approximately 1.1&#xd7;10<sup>6</sup> km&#xb2;, more than double (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2A</bold></xref>). Furthermore, the amplitude of interannual variations before 1979 was significantly smaller compared to that observed thereafter.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p><bold>(A)</bold> Average time series of sea-ice area (blue line) and 2-m air temperature (red line) over the Sea of Okhotsk (135&#xb0;E&#x2013;165&#xb0;E, 42&#xb0;N&#x2013;63&#xb0;N) during winter (January&#x2212;April), derived from ERA5. The period spans 1940&#x2013;2024. The black vertical line indicates the year 1979. The correlation coefficient between sea ice and 2-m air temperature from 1940 to 1978 (1979 to 2024) are shown in the upper left (right) corner. The bold value denotes significant at a 99% confidence level. <bold>(B&#x2013;D)</bold> Spatial distribution (%) of average sea-ice concentration during winter (January&#x2013;April) based on ERA5. <bold>(B)</bold> 1940&#x2013;1978, <bold>(C)</bold> 1979&#x2013;2024, and <bold>(D)</bold> difference between the two periods <bold>(B, C)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1760724-g002.tif">
<alt-text content-type="machine-generated">Panel A shows a line graph with annual sea ice area in blue and two-meter air temperature in red from 1940 to 2020, with correlation values of negative zero point three six and negative zero point eight. Panel B is a map depicting sea ice concentration percentages across a region, shaded in blue gradients. Panel C is a similar map with different sea ice distributions by percentage. Panel D displays the difference in sea ice concentration between the two periods, using blue for decreases and red for increases, with values labeled in contours.</alt-text>
</graphic></fig>
<p>Sea-ice retreat has been reported to promote near-surface warming, and warming drives ice retreat (i.e., two-way), whereas sea-ice expansion leads to temperature decreases (<xref ref-type="bibr" rid="B20">Screen and Simmonds, 2010</xref>; <xref ref-type="bibr" rid="B17">Olonscheck et&#xa0;al., 2019</xref>). In the winter Arctic, a significant negative correlation exists between sea-ice extent and 2-m air temperature, with increases in surface temperature attributed to changes in sea-ice concentration (<xref ref-type="bibr" rid="B10">Huo et&#xa0;al., 2025</xref>). Indeed, the correlation coefficient between sea-ice extent and 2-m air temperature was &#x2212;0.36 from 1940 to 1978, while from 1979 to 2024, it was &#x2212;0.80 (significant with 99% confidence level). This indicates a strong correlation between sea-ice extent and 2-m air temperature after 1979, whereas the correlation was weak before 1979. As noted in the Introduction, this change is likely attributable to the change in the ERA5 sea-ice data in 1979.</p>
<p>Focusing on the spatial distribution of sea ice, in 1978, sea ice was nearly absent south of 54&#xb0;N (especially in eastern Sakhalin) (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2B</bold></xref>). In contrast, in 1979, sea ice appeared extensively in the eastern waters off Sakhalin, reaching as far as the coastal areas of Hokkaido (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2C</bold></xref>). Comparing the two periods (<xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2B, C</bold></xref>), a difference exceeding 50% is observed south of 54&#xb0;N (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2D</bold></xref>). According to observation reports from the Japan Meteorological Agency, drift ice was confirmed along the Monbetsu coast of Hokkaido even before 1979. Furthermore, drift ice has been reported over extended periods not only at Monbetsu but also at multiple coastal locations in northern Hokkaido (<xref ref-type="bibr" rid="B24">Toyoda et&#xa0;al., 2022</xref>). Additionally, a difference of &#x2212;40% is observed north of 50&#xb0;N along the western Kamchatka Peninsula (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2D</bold></xref>).</p>
<p>As expected, examination of the February sea-ice concentration for 1978 and 1979 in ERA5 showed that in 1979, when OSI-409-a was introduced, the effective resolution was higher, and sea ice extended south of 54&#xb0;N compared to that of the previous year (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;1A, B</bold></xref>). This result is consistent with the findings presented in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>. However, regardless of the presence of OSI-409-a, gaps in sea ice also occurred south of 54&#xb0;N in HadISST version 2.1.0.0 (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;1C, D</bold></xref>). Therefore, the increase in sea-ice area in 1979 is attributed to consistency issues in the HadISST version 2.1.0.0 data rather than to the introduction of OSI-409-a.</p>
<p>In recent years, HadISST version 2.2.0.0 has been released as an update to HadISST version 2.1.0.0. This dataset incorporates several improvements in the reanalysis of sea ice and sea surface temperature. Specifically, it assimilates higher-resolution satellite observations and reevaluates ship and buoy data compared to those of previous versions, and applies an improved interpolation method that accounts for spatiotemporal correlation structures when filling missing data. Based on this dataset, sea ice exists south of 54&#xb0;N even in 1978, and no significant discrepancies are observed in either 1978 or 1979 (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;1E, F</bold></xref>).</p>
</sec>
<sec id="s3_2">
<title>Wave fields</title>
<p>Such discontinuities in sea ice are also expected to affect wave fields (SWH and MWP) when calculated using this data as input. A comparison of SWH between NOWPHAS and ERA5 is presented in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>. In this comparison, ERA5 data from the point closest to the NOWPHAS location were used. To examine the impact of discontinuities in sea ice, we compared the monthly averages by dividing the periods into before 1978 (1975&#x2013;1978) and after 1979 (1979&#x2013;1982). In this comparison, only periods with data available from both NOWPHAS and ERA5 were used.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of SWH between ERA5 (blue line) and NOWPHAS Mombetsu Port observations (red line). The relative error is defined as <inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:mfrac><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mo>&#xa0;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>o</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#xd7;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></inline-formula>, where <italic>Xs</italic> represents the ERA5 data (SWH), and <italic>X<sub>o</sub></italic> represents the observed SWH from NOWPHAS. The periods considered are <bold>(A)</bold> 1975&#x2013;1978 and <bold>(B)</bold> 1979&#x2013;1982. Only times when both NOWPHAS and ERA5 data are available are included in the comparison.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1760724-g003.tif">
<alt-text content-type="machine-generated">Two-panel figure with monthly data comparing significant wave height (SWH, green bars, left y-axis) and relative error percentages (solid red and dashed blue lines, right y-axis) from July to June; panel A and panel B show differing seasonal patterns and error trends.</alt-text>
</graphic></fig>
<p>From these results, irrespective of the period, it can be confirmed that ERA5 SWH reproduces the seasonal variation observed in the measurements, with lower values in summer and higher values in winter (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). However, when investigating the period before 1978, between February and April, when sea ice existed around the observation area, ERA5 overestimated SWH, with relative errors reaching over 60% (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>). In contrast, from 1979 onward, the overestimation of ERA5 SWH between February and April was minor (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>).</p>
<p>As expected, the overestimation of ERA5 before 1978 is considered to result from the absence of sea ice in the southern SO. Examination of monthly data acquisition rates from NOWPHAS observations shows a low acquisition rate from February to April in both 1978 and 1979, due to the influence of sea ice (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;2A</bold></xref>); the data acquisition rate denotes the sampling rate of data (i.e., SWH) per month, and is computed as <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#xd7;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></inline-formula>, where <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> denotes the number of 2-hourly data for observation or ERA5 (their number if there are no missing values). However, examination of the ERA5 data acquisition rates shows that from 1979 to 1982, similar to NOWPHAS observations, the acquisition rate decreases during winter. In contrast, from 1975 to 1978, the data acquisition rate remains at 100% throughout winter (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;2B</bold></xref>), likely because the influence of sea ice is not accounted for. As shown in <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;2A</bold></xref>, the observation rate of NOWPHAS is low during the winter season. Rather than representing a four-year average, the data acquisition rate for NOWPHAS varies from year to year (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;3A, B</bold></xref>). A similar pattern is observed for ERA5 data after 1979 (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;3C, D</bold></xref>). Therefore, the results shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref> reflect the data from 1976 for the earlier period (1975&#x2013;1978) and from the data of 1979 and 1982 for the later period (1979&#x2013;1982) (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;4</bold></xref>).</p>
<p>The impact of sea ice affects not only SWH but also MWP (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;5</bold></xref>). Sea ice contributes to the reduction of MWP as well as the attenuation of SWH (<xref ref-type="bibr" rid="B11">Iwasaki, 2022</xref>; <xref ref-type="bibr" rid="B13">Iwasaki and Otsuka, 2021</xref>). From 1975 to 1978, before 1979, ERA5&#x2019;s MWP exceeded the observed values from February to April, with a relative error of over 15% (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;5A</bold></xref>). In contrast, during the period 1979&#x2013;1982, ERA5&#x2019;s MWP closely matched the observed MWP (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;5B</bold></xref>).</p>
<p>The spatial distribution of SWH and MWP during the winters (January to April) of 1978 and 1979 is shown in <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;6</bold></xref>. In 1978, with sea ice limited to north of 54&#xb0;N, few areas were missing data for SWH and MWP (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;6A, D</bold></xref>). However, in 1979, as the sea ice extended to the eastern part of Sakhalin, the missing areas for SWH and MWP expanded (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;6B, E</bold></xref>). Differences between the two years show that, in the largest affected areas, SWH reached 0.6 m, and MWP reached 1.0 s (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;6C, F</bold></xref>).</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>In this study, we examined the discontinuity in ERA5 sea ice representation in the Sea of Okhotsk around 1978&#x2013;1979 and assessed its impacts on wave variables. We found that the effects of sea ice discontinuity are spreading to sea surface temperature, surface air temperature, and surface winds (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>). The extreme increase in sea ice from 1978 to 1979 was reflected not only in lower sea surface and air temperatures but also in reduced surface winds (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>). This result indicates that the unrealistic negative bias in sea ice in 1978 imported a positive bias to sea surface temperature, surface air temperature, and surface winds. The reductions in surface winds are thought to result from reduced sea ice, causing a decrease in local atmospheric stability (i.e., more unstable). Therefore, sea ice and surface wind have a negative correlation (e.g., <xref ref-type="bibr" rid="B1">Alkama et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B11">Iwasaki, 2022</xref>). Indeed, the correlation coefficient between sea-ice extent and surface wind was 0.00 from 1940 to 1978, while from 1979 to 2024, it was &#x2212;0.38 (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;7</bold></xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Spatial distribution of [left panels; <bold>(A&#x2212;C)</bold>] sea surface temperature, [middle panels; <bold>(D&#x2212;F)</bold>] 2-m air temperature, and [right panels; <bold>(G&#x2212;I)</bold>] surface winds for ERA5 during winter January&#x2212;April) of (upper panels) 1978 and (middle panels) 1979, and (lower panels) their difference. Spatial distribution of the difference between 1979 and 1978 (i.e., 1979&#x2212;1978).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1760724-g004.tif">
<alt-text content-type="machine-generated">Nine-panel scientific figure compares sea surface temperature, two-meter air temperature, and surface wind speed around a peninsula region, each column showing a different variable. Top and middle rows present absolute values for two different periods, and the bottom row shows differences between periods. Each map features color gradients, contour lines, latitudinal and longitudinal coordinates, and corresponding color bars for measurement units.</alt-text>
</graphic></fig>
<p>Based on the above results, caution is required when analyzing sea ice, wave fields (SWH and MWP), and meteorological variables (sea surface temperature, 2-m air temperature, and surface winds) using ERA5 data for the SO before 1979. For example, <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;8</bold></xref> shows the long-term trend in SWH and surface winds for two periods (1940&#x2013;2024 and 1979&#x2013;2024). For 1940&#x2013;2024, SWH exhibited an overall positive trend, except for a slightly negative trend in eastern Sakhalin (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;8A</bold></xref>, color). Although not statistically significant, this negative trend coincided with the increase in sea-ice area in eastern Sakhalin (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;8A</bold></xref>, color and contour map). In contrast, for 1979&#x2013;2024, SWH exhibited an overall positive trend (particularly pronounced in the northeast), and sea ice also showed a decreasing trend (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;8B</bold></xref>). The negative SWH trend observed in eastern Sakhalin for 1940&#x2013;2024 is likely a spurious result caused by missing sea-ice data before 1979. In addition, the extreme increase in sea ice in eastern Sakhalin in 1979 also affected the decrease in surface wind (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figures&#xa0;8C, D</bold></xref>). This observation indicates that an increase in sea ice and a decrease in surface wind have an indirect influence on the reduction in SWH. However, even if the sea ice data were accurate throughout the entire period, the trends for the two periods would not necessarily coincide. Despite the limited observation period from 1975 to 2001, a comparison with observations was conducted. The results show that excluding data before 1979 brings the ERA5 trend values into closer alignment with the observed trend (&#x2013;0.14 m/decade for observation and &#x2013;0.15 m/decade for ERA5) (<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Figure&#xa0;9</bold></xref>).</p>
<p>As shown in the results, the discontinuity in Sea ICE is improved by the update to HadISST. In the future, incorporating HadISST v2.2.2.0 for sea-ice concentration in ERA5 could help reduce unrealistic sea-ice distributions and improve the associated wave fields and meteorological variables such as sea surface temperature, surface air temperature, and surface winds. Additionally, although the present study focused on the SO as one of the sea-ice areas, caution is warranted because gaps in sea-ice coverage may also occur in other regions. Furthermore, the data used for this ERA5 validation was limited to a single coastal location in northern Hokkaido. Given the ongoing concern about increased wave activity in the SO, associated with sea ice reduction, further expansion of long-term wave observations utilizing systems such as NOWPHAS and small GPS buoys (e.g., <xref ref-type="bibr" rid="B21">Shimura et&#xa0;al., 2022</xref>) is necessary. In addition, although this study focused on wave bias caused by sea ice, it should be noted that the coarse spatial resolution of ERA5 may also contribute the observed bias when compared with single-point observations in coastal areas. Our findings highlight the need for caution when conducting long-term analyses of sea-ice variability using ERA5 data. Moreover, while this study focused on ERA5, the lack of satellite data before 1979 is a common issue with other reanalysis data. Therefore, regardless of ERA5, extreme caution is required when using reanalysis data for periods before 1979.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Material</bold></xref>. Further inquiries can be directed to the corresponding author.</p></sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>YI: Formal analysis, Investigation, Software, Validation, Visualization, Writing &#x2013; original draft. SI: Conceptualization, Funding acquisition, Methodology, Project administration, Supervision, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p></sec>
<ack>
<title>Acknowledgments</title>
<p>This work was conducted as part of Theme 4 of the Advanced Studies of Climate Change Projection (SENTAN Program), Grant Number JPMXD0722678534, supported by the Ministry of Education, Culture, Sports, Science, and Technology (MEXT), Japan. We thank the editor and reviewers for their constructive comments.</p>
</ack>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s9" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2026.1760724/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2026.1760724/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf"/></sec>
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<fn-group>
<fn id="n1" fn-type="custom" custom-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1618000">Merc&#xe8; Casas-Prat</ext-link>, Environment and Climate Change Canada (ECCC), Canada</p></fn>
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<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3278143">Tyler Miesse</ext-link>, George Mason University, United States</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3313975">Margarita Markina</ext-link>, National Center for Atmospheric Research (NCAR), United States</p></fn>
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<fn id="fn1"><label>1</label>
<p><uri xlink:href="https://www.data.jma.go.jp/kaiyou/english/seaice_okhotsk/series_okhotsk_e.html">https://www.data.jma.go.jp/kaiyou/english/seaice_okhotsk/series_okhotsk_e.html</uri></p></fn>
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