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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">WES</journal-id><journal-title-group>
    <journal-title>Wind Energy Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WES</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Wind Energ. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2366-7451</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/wes-8-1-2023</article-id><title-group><article-title>Offshore wind energy forecasting sensitivity to sea surface temperature input in the Mid-Atlantic</article-title><alt-title>Offshore wind energy forecasting sensitivity to sea surface temperature input in the Mid-Atlantic</alt-title>
      </title-group><?xmltex \runningtitle{Offshore wind energy forecasting sensitivity to sea surface temperature input in the Mid-Atlantic}?><?xmltex \runningauthor{S.~Redfern et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Redfern</surname><given-names>Stephanie</given-names></name>
          <email>stephanie.redfern@nrel.gov</email>
        <ext-link>https://orcid.org/0000-0002-5948-9555</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Optis</surname><given-names>Mike</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xia</surname><given-names>Geng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5039-5061</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Draxl</surname><given-names>Caroline</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5532-6268</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>National Renewable Energy Laboratory, Golden, Colorado 80401, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Veer Renewables, Inc., Courtenay, BC, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Stephanie Redfern (stephanie.redfern@nrel.gov)</corresp></author-notes><pub-date><day>2</day><month>January</month><year>2023</year></pub-date>
      
      <volume>8</volume>
      <issue>1</issue>
      <fpage>1</fpage><lpage>23</lpage>
      <history>
        <date date-type="received"><day>2</day><month>December</month><year>2021</year></date>
           <date date-type="accepted"><day>7</day><month>November</month><year>2022</year></date>
           <date date-type="rev-recd"><day>3</day><month>November</month><year>2022</year></date>
           <date date-type="rev-request"><day>21</day><month>December</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Stephanie Redfern et al.</copyright-statement>
        <copyright-year>2023</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://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023.html">This article is available from https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023.html</self-uri><self-uri xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023.pdf">The full text article is available as a PDF file from https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e114">As offshore wind farm development expands, accurate wind resource forecasting over the ocean is needed. One important yet relatively unexplored aspect of offshore wind resource assessment is the role of sea surface temperature (SST). Models are generally forced with reanalysis data sets, which employ daily SST products. Compared with observations, significant variations in SSTs that occur on finer timescales are often not captured. Consequently, shorter-lived events such as sea breezes and low-level jets (among others), which are influenced by SSTs, may not be
correctly represented in model results. The use of hourly SST products may improve the forecasting of these events. In this study, we examine the
sensitivity of model output from the Weather Research and Forecasting model (WRF) 4.2.1 to different SST products. We first evaluate three different
data sets: the Multiscale Ultrahigh Resolution (MUR25) SST analysis, a daily, 0.25<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution product; the
Operational Sea Surface Temperature and Ice Analysis (OSTIA), a daily, 0.054<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.054<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution product; and SSTs from
the Geostationary Operational Environmental Satellite 16 (GOES-16), an hourly, 0.02<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M8" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.02<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution product. GOES-16 is not processed at the same level as OSTIA and MUR25; therefore, the product requires gap-filling using an interpolation method to create a complete map with no missing data points. OSTIA and GOES-16 SSTs validate markedly better against buoy observations than MUR25, so these two products are selected for use with model simulations, while MUR25 is at this point removed from consideration. We run the model for June and July of 2020 and find that for this time period, in the Mid-Atlantic, although OSTIA SSTs overall validate better against in situ observations taken via a buoy array in the area, the two products result in comparable hub-height (140 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind characterization performance on monthly timescales. Additionally, during hours-long flagged events (<inline-formula><mml:math id="M11" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> each) that show statistically significant wind speed deviations between the two simulations, both simulations once again demonstrate similar validation performance (differences in bias, earth mover's distance, correlation, and root mean square error on the order of 10<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or less), with GOES-16 winds validating nominally better than OSTIA winds. With a more refined GOES-16 product, which has been not only gap-filled but also assimilated with in situ SST measurements in the region, it is likely that hub-height winds characterized by GOES-16-informed simulations would definitively validate better than those informed by OSTIA SSTs.</p>
  </abstract>
    </article-meta>
  <notes notes-type="copyrightstatement">
  
      <p id="d1e236">This work was authored in part by the National Renewable Energy Laboratory, operated by Alliance for Sustainable Energy, LLC, for the U.S. Department of Energy (DOE) under contract no. DE-AC36-08GO28308. Funding provided by the U.S. Department of Energy Office of Energy Efficiency and Renewable Energy Wind Energy Technologies Office and by the National Offshore Wind Research and Development Consortium under agreement no. CRD-19-16351. The views expressed in the article do not necessarily represent the views of the DOE or the U.S. Government. The U.S. Government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for U.S. Government purposes.</p>
</notes></front>
<body>
      


<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e247">The United States Atlantic coast is a development site for upcoming offshore wind projects. There are 15 leasing areas located throughout the Atlantic
Outer Continental Shelf, where a number of offshore wind farms are planned to be developed <xref ref-type="bibr" rid="bib1.bibx4" id="paren.1"/>. Therefore, characterizing offshore
boundary layer winds in the region has risen in importance. Accurate forecasting will provide developers with a better understanding of local wind
patterns, which can inform wind farm planning and layout decisions <xref ref-type="bibr" rid="bib1.bibx3" id="paren.2"/>. Additionally, improved weather prediction will allow
for real-time adjustments of turbine operation to increase their operating efficiency and protect them against unnecessary wear and tear
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx17 bib1.bibx10" id="paren.3"/>.</p>
      <p id="d1e259">The Mid-Atlantic Bight (MAB) is an offshore cold pool region spanning the eastern United States coast from North Carolina up through Cape Cod,
Massachusetts, and it overlies the offshore wind leasing areas. The cold pool forms during the summer months, when the ocean becomes strongly
stratified and the thermocline traps colder water near the ocean floor. During the transition to winter, as sea surface temperatures (SSTs) drop, the
stratification weakens and the cold pool breaks down. Thus, the cold pool generally persists from the spring through the fall. Southerly winds that
drive surface currents offshore will result in coastal upwelling of this colder water, and, at times, strong winds associated with storm development
can mix the cold pool upward, cooling the surface and influencing near-surface temperatures and winds
<xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx7 bib1.bibx28" id="paren.4"/>.</p>
      <p id="d1e265">Accurate representation of the MAB in forecasting models is important because SSTs are closely tied to offshore winds. Horizontal temperature gradients between land and the ocean, as well as vertical temperature gradients over the ocean – which can form, for example, when SSTs are anomalously cold, as with the MAB – help define offshore airflow. In particular, variations in temperature can lead to or impact short-lived offshore events occurring on hourly timescales, such as sea breezes and low-level jets (LLJs). Sea breezes are driven by the land–sea temperature difference, which, if strong enough (around 5 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> or greater), can generate a circulation between the water and the land <xref ref-type="bibr" rid="bib1.bibx45" id="paren.5"/>. With a relatively colder ocean, as during summer months, this leads to a near-ground breeze blowing landward, with a weak recirculation toward the ocean aloft <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx25" id="paren.6"/>. Similarly, the near-surface horizontal and air–sea temperature differences dictate the
strength of stratification over the ocean. Studies have found a robust link between atmospheric stability and LLJ development, so accurately representing SSTs is key to modeling near-surface stability and, accordingly, LLJs <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx20 bib1.bibx22 bib1.bibx10" id="paren.7"/>. A Weather Research and Forecasting model (WRF) analysis of the region conducted by <xref ref-type="bibr" rid="bib1.bibx1" id="text.8"/> found that in the MAB leasing areas specifically LLJs occurred in 12 % of the hours in June 2010–2011. Both LLJs and sea breezes can affect individual wind turbine and whole farm operation, so forecasting them correctly can improve power output and turbine
reliability <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx36 bib1.bibx27 bib1.bibx47" id="paren.9"/>.</p>
      <p id="d1e296">Typical climate and weather model initialization and forcing inputs are reanalysis products, such as ERA5 and MERRA-2, which are global data sets that
assimilate model output with observations to create a comprehensive picture of climate at each time step considered
<xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx18" id="paren.10"/>. These data sets primarily include global SST products that are produced at lower temporal and
spatial resolutions than what can be available via regional, geostationary satellites. These coarser-resolution data sets, therefore, do not capture
observed hourly and, in many cases, diurnal fluctuations in SSTs, which may influence their ability to properly force sea breezes and LLJs. Some
preliminary comparisons between weather simulations, forced with different SST products, indicate that this particular input can have a significant
impact on modeled offshore wind speeds <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6 bib1.bibx12 bib1.bibx22" id="paren.11"/>.</p>
      <p id="d1e306">Few studies have examined the impact of finer-temporal-resolution SST products specifically on wind forecasting, and to the authors' knowledge, none so far have focused on the Mid-Atlantic. There have been studies looking at numerical weather prediction model (NWP) sensitivity to SST, but they have
considered other regions or different, often coarser-spatial- and coarser-temporal-resolution products
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx35 bib1.bibx43 bib1.bibx12 bib1.bibx22 bib1.bibx24" id="paren.12"/>. In this article, we explore the effects of forcing the Weather Research and Forecasting model (WRF), an NWP used for research and operational weather forecasting, with different SST data sets characterized by different spatial and temporal resolutions in the Mid-Atlantic region during the summer months. Specifically, we address differences in model performance on monthly timescales and then contrast characterization effectiveness during shorter wind events. Section <xref ref-type="sec" rid="Ch1.S2"/> lays out the data, model setup, and methods used in this study. Section <xref ref-type="sec" rid="Ch1.S3"/> explains the findings of our simulations, and Sect. <xref ref-type="sec" rid="Ch1.S4"/> explores their implications. Finally, Sect. <xref ref-type="sec" rid="Ch1.S5"/> summarizes the intent of the study as well as its findings.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e322">The WRF domains <bold>(a)</bold> and a zoomed-in, more detailed look at a subset of the nested domain, with markers indicating the lidars (stars) and buoys (hollow circles) that were used in this study <bold>(b)</bold>. The Atlantic Shores and two NYSERDA locations each host both a buoy and a lidar. Planning areas are outlined in white.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
      <p id="d1e345">We first validate three different SST data sets against observations taken at an array of buoys off the Mid-Atlantic coast during the months of June
and July 2020. Following validation, we select two of the three data sets for use as inputs to two different model simulations in the MAB region,
which are identically configured aside from the SST data. August is not considered due to data availability constraints at the time of the study. The
output data are compared with in situ measurements taken at buoys (SSTs) and floating lidars (winds) in the region. A 140 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub height is
assumed, based on the analysis of regions with moderate wind resource by <xref ref-type="bibr" rid="bib1.bibx23" id="text.13"/>. We evaluate performance primarily via a set of
validation metrics calculated on monthly timescales. We then flag specific events during which the model generally captures regional winds, but
output from the two simulations deviate significantly (defined in this study as 1 or more standard deviations from their mean differences) from one
another. Again, validation analysis is performed for these periods.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e362">Buoy and lidar locations, owner, and data availability.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Buoy or lidar</oasis:entry>
         <oasis:entry colname="col2">Name</oasis:entry>
         <oasis:entry colname="col3">Latitude (<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Longitude (<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">SST depth (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">% data available</oasis:entry>
         <oasis:entry colname="col7">Owner</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Lidar and buoy</oasis:entry>
         <oasis:entry colname="col2">E05</oasis:entry>
         <oasis:entry colname="col3">40.1614</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>72.7396</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
         <oasis:entry colname="col6">100.0</oasis:entry>
         <oasis:entry colname="col7">NYSERDA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lidar and buoy</oasis:entry>
         <oasis:entry colname="col2">E06</oasis:entry>
         <oasis:entry colname="col3">39.6273</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.4123</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
         <oasis:entry colname="col6">100.0</oasis:entry>
         <oasis:entry colname="col7">NYSERDA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lidar and buoy</oasis:entry>
         <oasis:entry colname="col2">ASOW-6</oasis:entry>
         <oasis:entry colname="col3">39.2717</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.8892</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">84.89</oasis:entry>
         <oasis:entry colname="col7">Atlantic Shores</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44017</oasis:entry>
         <oasis:entry colname="col3">40.693</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>72.049</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">96.32</oasis:entry>
         <oasis:entry colname="col7">NDBC</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44025</oasis:entry>
         <oasis:entry colname="col3">40.251</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M23" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.164</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">96.46</oasis:entry>
         <oasis:entry colname="col7">NDBC</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44065</oasis:entry>
         <oasis:entry colname="col3">40.369</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M24" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.703</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">96.51</oasis:entry>
         <oasis:entry colname="col7">NDBC</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44075</oasis:entry>
         <oasis:entry colname="col3">40.363</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M25" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70.883</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">29.66</oasis:entry>
         <oasis:entry colname="col7">Ocean Observatories Initiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44076</oasis:entry>
         <oasis:entry colname="col3">40.137</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M26" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70.775</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">29.58</oasis:entry>
         <oasis:entry colname="col7">Ocean Observatories Initiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44077</oasis:entry>
         <oasis:entry colname="col3">39.940</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70.883</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">100.0</oasis:entry>
         <oasis:entry colname="col7">Ocean Observatories Initiative</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44091</oasis:entry>
         <oasis:entry colname="col3">39.768</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M28" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.770</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">100.0</oasis:entry>
         <oasis:entry colname="col7">U.S. Army Corps of Engineers</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Buoy</oasis:entry>
         <oasis:entry colname="col2">44097</oasis:entry>
         <oasis:entry colname="col3">40.967</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>71.126</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">100.0</oasis:entry>
         <oasis:entry colname="col7">Ocean Observatories Initiative</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>In situ and lidar data</title>
      <p id="d1e791">This study makes use of both SST and wind profile observational data for model validation. SSTs are provided by the National Buoy Data Center (NBDC)
at several locations along the Mid-Atlantic coast, as listed in Table <xref ref-type="table" rid="Ch1.T1"/> and shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. Buoy data located at the Atlantic
Shores Offshore Wind ASOW-6 location are also used (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). Wind data have been taken from the Atlantic Shores Offshore Wind floating lidar
and the two New York State Energy Research and Development Authority (NYSERDA) floating lidars, whose locations are listed in Table <xref ref-type="table" rid="Ch1.T1"/>. These
lidars provide wind speed and wind direction at 10 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> intervals from either 10 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Atlantic Shores) or 40 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (NYSERDA) up
through 250 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above sea level. There are periods of missing data for all buoys and lidars.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e838">Model setup.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">WRF parameter</oasis:entry>
         <oasis:entry colname="col2">Selection</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Number of domains</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Domain resolution</oasis:entry>
         <oasis:entry colname="col2">6 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (parent), 2 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (nest)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Output time resolution</oasis:entry>
         <oasis:entry colname="col2">5 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vertical levels</oasis:entry>
         <oasis:entry colname="col2">61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reanalysis data</oasis:entry>
         <oasis:entry colname="col2">ERA5 <xref ref-type="bibr" rid="bib1.bibx18" id="paren.14"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Microphysics</oasis:entry>
         <oasis:entry colname="col2">Ferrier <xref ref-type="bibr" rid="bib1.bibx42" id="paren.15"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Radiation scheme</oasis:entry>
         <oasis:entry colname="col2">RRTMG (longwave and shortwave) <xref ref-type="bibr" rid="bib1.bibx19" id="paren.16"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Planetary boundary layer</oasis:entry>
         <oasis:entry colname="col2">Nakanishi and Niino (MYNN) <xref ref-type="bibr" rid="bib1.bibx29" id="paren.17"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface layer parameterization</oasis:entry>
         <oasis:entry colname="col2">MYNN <xref ref-type="bibr" rid="bib1.bibx30" id="paren.18"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Land surface scheme</oasis:entry>
         <oasis:entry colname="col2">Unified Noah land-surface model <xref ref-type="bibr" rid="bib1.bibx46" id="paren.19"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cumulus parameterization</oasis:entry>
         <oasis:entry colname="col2">Kain–Fritsch <xref ref-type="bibr" rid="bib1.bibx21" id="paren.20"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Upper-level damping</oasis:entry>
         <oasis:entry colname="col2">Rayleigh at 5 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> depth</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Model setup</title>
      <p id="d1e1029">WRF version 4.2.1 is the NWP employed in this study <xref ref-type="bibr" rid="bib1.bibx38" id="paren.21"/>. WRF is a fully compressible, non-hydrostatic model that is used for
both research and operational applications. Our model setup, including key physics and dynamics options, is outlined in Table <xref ref-type="table" rid="Ch1.T2"/>.</p>
      <p id="d1e1037">The study area spans the majority of the MAB, with the nested domain (grid spacing of 2 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) running from the
mid-Virginia coast to the south up through Cape Cod to the north (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1068">SST data sets used in this study.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="65mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="65mm"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">MUR25</oasis:entry>
         <oasis:entry colname="col3">OSTIA</oasis:entry>
         <oasis:entry colname="col4">GOES-16</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Satellite coverage</oasis:entry>
         <oasis:entry colname="col2">Global</oasis:entry>
         <oasis:entry colname="col3">Global</oasis:entry>
         <oasis:entry colname="col4">Regional</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temporal resolution</oasis:entry>
         <oasis:entry colname="col2">Daily</oasis:entry>
         <oasis:entry colname="col3">Daily</oasis:entry>
         <oasis:entry colname="col4">Hourly</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spatial resolution</oasis:entry>
         <oasis:entry colname="col2">0.25<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.054<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.02<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature type</oasis:entry>
         <oasis:entry colname="col2">Foundation</oasis:entry>
         <oasis:entry colname="col3">Foundation</oasis:entry>
         <oasis:entry colname="col4">SST</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Processing level</oasis:entry>
         <oasis:entry colname="col2">Gridded and assimilated with in situ observations</oasis:entry>
         <oasis:entry colname="col3">Gridded and assimilated with in situ observations</oasis:entry>
         <oasis:entry colname="col4">Gridded only</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gap-filling</oasis:entry>
         <oasis:entry colname="col2">Released product is filled</oasis:entry>
         <oasis:entry colname="col3">Released product is filled</oasis:entry>
         <oasis:entry colname="col4">DINEOF needed</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Sea surface temperature data</title>
      <p id="d1e1229">We compare how well three different SST data sets validate against buoy observations and subsequently select the two best-performing data sets to force our simulations (Table <xref ref-type="table" rid="Ch1.T3"/>). Aside from these different SST product inputs, the rest of the model parameters in the simulations remain identical.</p>
      <p id="d1e1234">We have selected the ERA5 global reanalysis data set to force our simulations. The Operational Sea Surface Temperature and Ice Analysis (OSTIA) is the SST data set native to this product <xref ref-type="bibr" rid="bib1.bibx18" id="paren.22"/>. As such, when included as part of ERA5, OSTIA's resolution has been adjusted to match ERA5's 31 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> spatial resolution and hourly temporal resolution. For our simulations, however, we overwrite these SSTs with the OSTIA data set at its original resolution of 0.05<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, MUR25 data set at its 0.25<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, and GOES-16 data set at its resolution of 0.02<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1275">The coarsest-resolution product we consider is the 0.25<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> Multi-scale Ultra-high Resolution SST analysis (MUR25). MUR25 is a daily product that
assimilates observations and model data to render a complete global grid with SSTs. MUR25 has undergone pre- and post-processing, and the SSTs in the
data set are foundation temperatures, which are measured deep enough in the water to discount diurnal temperature fluctuations. MUR25 has a spatial
resolution of 0.25<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx8" id="paren.23"/>, which is significantly coarser than either of the other two SST
data sets we evaluate.</p>
      <p id="d1e1315">Our next SST selection, the Operational Sea Surface Temperature and Sea Ice Analysis (OSTIA) system, is a daily global product that combines in situ
observations taken from buoys and ships, model output, and multiple remotely sensed SST data sets
<xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx11" id="paren.24"/>. Similar to MUR25, it is a complete product in that it has no missing data. OSTIA has a spatial
resolution of 0.05<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.05<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Additionally, as a daily product like MUR25, OSTIA provides foundation SSTs
<xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx11 bib1.bibx13" id="paren.25"/>.</p>
      <p id="d1e1350">Our finest-resolution product is taken via GOES-16, which is a geostationary, regional satellite with a spatial resolution of
0.02<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.02<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx41" id="paren.26"/>. This product does not assimilate its measurements with in
situ data. While GOES-16 does not offer global coverage and, therefore, cannot be used for certain world regions, it does cover the Mid-Atlantic
Bureau of Ocean Energy Management (BOEM) offshore wind lease areas, which is our region of interest. Because GOES-16 has an hourly resolution, it can
capture diurnal changes in SST and, therefore, measure surface temperature <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx40" id="paren.27"/>.</p>
      <p id="d1e1384">Due to the lesser level of processing in the GOES-16 data set, it contains numerous data gaps that must be filled. These missing data are the result of
a post-processing algorithm that flags pixels that fall below a specified temperature threshold, which is applied prior to release of the data
set. This filter is in place to remove cloud cover. While this method is effective with regard to its defined intent, it can also erroneously discard
valid pixels that capture the cold water upwelling typical to the MAB region during the warmer months, and, although this cold-pixel filter is also a
common practice in global SST data sets (OSTIA), the high level of post-processing applied in those products interpolates over and fills the missing
grid cells prior to release.</p>
      <p id="d1e1387"><?xmltex \hack{\newpage}?>To gap-fill the GOES-16 data set so that we may use it in our simulations, we employ the Data INterpolating Emperical Orthogonal Function algorithm, or DINEOF, which is an open-source application that applies empirical orthogonal function (EOF) analysis to reconstruct incomplete data sets <xref ref-type="bibr" rid="bib1.bibx37" id="paren.28"/>. The program was originally designed to specifically gap-fill remotely observed SSTs that contain missing data due to cloud-flagging and removal algorithms (as is the case with the GOES-16 data) and has demonstrated strong results in past studies <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx37" id="paren.29"/>.</p>
      <p id="d1e1397">We additionally include in the GOES-16 SST data set the sensor-specific error statistics (SSES) bias field that is included with the distributed
product. This component accounts for retrieval bias using a statistical algorithm designed to correct for errors in the SST field. Compared with the
SST values alone, the bias-corrected GOES-16 data offsets an inherent warm bias in the raw data.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Event selection</title>
      <p id="d1e1408">We are particularly interested in understanding how well the model forecasts shorter wind events, as LLJs and sea breezes occur on hourly timescales. We have created a set of parameters that, when met, detect relatively brief time periods (on the order of hours to days) during which one
simulation may be outperforming the other, which we then more closely examine to evaluate differences in their wind profile characterization and SST
validation.</p>
      <p id="d1e1411">For an event to be flagged, it must meet the following criteria.
<list list-type="order"><list-item>
      <p id="d1e1416">Correlation for both models is above 0.5 at hub height for two of the three lidar locations.</p></list-item><list-item>
      <p id="d1e1420">Differences in wind speeds between the two models must be greater than 1 standard deviation from the monthly mean difference.</p></list-item><list-item>
      <p id="d1e1424">Gaps during which the wind speed difference drops below 1 standard deviation must not persist for more than 2 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> during a single
event.</p></list-item><list-item>
      <p id="d1e1436">Events must last for at least 1 h.</p></list-item></list></p>
      <p id="d1e1439">This set of event characteristics first acts to filter out periods during which WRF is generally under-performing – possibly due to model
shortcomings outside of SST forcing – so that the performance difference in the selected events may be with more certainty attributed to SSTs. Then,
events are located during which the two simulations forecast statistically significantly different hub-height wind speeds, which persist for a period
of time long enough to substantially affect power generation.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e1446">Error metrics considered in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Error metric</oasis:entry>
         <oasis:entry colname="col2">Equation</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Bias</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>o</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Unbiased root mean square error (RMSE)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mfenced open="[" close="]"><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:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:mo>[</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>o</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Square of correlation coefficient (<inline-formula><mml:math id="M61" 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>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>o</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>o</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></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wasserstein metric/earth mover's distance (EMD)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:msubsup><mml:msubsup><mml:mo>∑</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:msubsup><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Validation metrics</title>
      <p id="d1e1732">To evaluate which simulation performs best during our study period, we calculate sets of validation metrics, as outlined by
<xref ref-type="bibr" rid="bib1.bibx34" id="text.30"/>. Specifically, we look at SSTs and 140 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (hub-height) wind speeds on both monthly and event timescales. The metrics we
calculate are named and defined in Table <xref ref-type="table" rid="Ch1.T4"/>, and they give a quantification of the error present in each case.</p>
      <p id="d1e1748">The bias provides information on the average simulation performance during the evaluation period – specifically, if the model is consistently over-
or under-predicting the output variable in consideration. Unbiased root mean square error (RMSE) provides a more nuanced look at the spread of the error in the results. The square of the correlation coefficient (referred to from here forward as correlation) quantifies how well the simulations' variables change in coordination with those of the observations. Finally, the Wasserstein metric, also known as earth mover's distance (EMD), measures the difference between the observed and simulated variable distributions.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d1e1760">We first assess how well each SST data set compares with buoy data. Following SST validation, we evaluate the model's wind characterization
performance when forced with different SST data. We assume a hub height of 140 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and compare output winds at this altitude against
measurements taken via floating lidars off the Mid-Atlantic coast. Specifically, we analyze monthly performance and then select several shorter
periods during June and July 2020 during which we compare wind characterization accuracy.</p>
      <p id="d1e1771">After evaluation of the SST data sets, only OSTIA- and GOES-16-forced WRF simulations are compared, as during July – one-half of our study period –
MUR25 SSTs validate significantly worse against buoy measurements than the other two products. OSTIA SSTs validate the best out of the three data
sets. Average, simulated hub-height winds across monthly periods validate similarly for both OSTIA and GOES-16. At an event-scale temporal
resolution – that is, on the order of hours – GOES-16 and OSTIA perform comparably, with GOES-16 marginally outperforming OSTIA.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sea surface temperature performance</title>
      <p id="d1e1782">We evaluate SST performance by linearly interpolating the satellite-based products to 10 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> intervals (the in situ data output resolution)
and making a brief qualitative assessment followed by calculating and comparing at each buoy validation metrics for the different products.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1795">Time series of MUR25, OSTIA, GOES-16, and in situ measurements of SST at the Atlantic Shores buoy for June and July at Atlantic Shores <bold>(a)</bold>, NYSERDA E05 <bold>(b)</bold>, and NYSERDA E06 <bold>(c)</bold>. Specific wind events that are evaluated in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/> are highlighted in gray.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f02.png"/>

        </fig>

      <p id="d1e1815">The time series plots in Fig. <xref ref-type="fig" rid="Ch1.F2"/> show that while GOES-16 tracks the diurnal cycle seen by observations, the other two products do not
(the highlighted time frames in the figure are wind events that are discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>). Despite this feature, however, there exist a
number of periods each month when GOES-16 does not accurately capture observed dips in temperature, and, during many of these times, the daily data
sets, though missing the nuance of GOES-16, better represent the colder SSTs.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e1826">Validation metrics for each remotely sensed data source at Atlantic Shores, NYSERDA E05, and NYSERDA E06 on a 10 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> output interval for July 2020.</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="right"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Data source</oasis:entry>
         <oasis:entry colname="col3">Bias (<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">RMSE (<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M70" 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></oasis:entry>
         <oasis:entry colname="col6">EMD</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Atlantic Shores</oasis:entry>
         <oasis:entry colname="col2">MUR25</oasis:entry>
         <oasis:entry colname="col3">0.41</oasis:entry>
         <oasis:entry colname="col4">0.90</oasis:entry>
         <oasis:entry colname="col5">0.68</oasis:entry>
         <oasis:entry colname="col6">0.49</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OSTIA</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M71" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17</oasis:entry>
         <oasis:entry colname="col4">0.71</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GOES-16</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
         <oasis:entry colname="col4">0.76</oasis:entry>
         <oasis:entry colname="col5">0.76</oasis:entry>
         <oasis:entry colname="col6">0.35</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NYSERDA E05</oasis:entry>
         <oasis:entry colname="col2">MUR25</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4">0.80</oasis:entry>
         <oasis:entry colname="col5">0.76</oasis:entry>
         <oasis:entry colname="col6">0.37</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OSTIA</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry colname="col4">0.59</oasis:entry>
         <oasis:entry colname="col5">0.88</oasis:entry>
         <oasis:entry colname="col6">0.32</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GOES-16</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.13</oasis:entry>
         <oasis:entry colname="col4">0.63</oasis:entry>
         <oasis:entry colname="col5">0.86</oasis:entry>
         <oasis:entry colname="col6">0.31</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NYSERDA NE06</oasis:entry>
         <oasis:entry colname="col2">MUR25</oasis:entry>
         <oasis:entry colname="col3">0.21</oasis:entry>
         <oasis:entry colname="col4">0.83</oasis:entry>
         <oasis:entry colname="col5">0.68</oasis:entry>
         <oasis:entry colname="col6">0.28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OSTIA</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.14</oasis:entry>
         <oasis:entry colname="col4">0.61</oasis:entry>
         <oasis:entry colname="col5">0.83</oasis:entry>
         <oasis:entry colname="col6">0.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GOES-16</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02</oasis:entry>
         <oasis:entry colname="col4">0.64</oasis:entry>
         <oasis:entry colname="col5">0.81</oasis:entry>
         <oasis:entry colname="col6">0.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2144">A comparison of all three products shows markedly poorer validation against the floating lidar buoys, for at least two metrics at each buoy, by MUR25
as compared with GOES-16 and OSTIA during July 2020 (Table <xref ref-type="table" rid="Ch1.T5"/>). Because July 2020 is one-half of our study period, we remove MUR25 from
further analysis.</p>
      <p id="d1e2149">Over the course of June and July combined, looking across the entire buoy array, OSTIA overall outperforms GOES-16, as shown in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Both products have a relatively strong cold bias (between <inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1 and <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.25 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) compared with observations at the
three lidar locations. GOES-16 presents a negative bias at five additional buoys, and OSTIA has a negative bias at one other buoy. Both SST products
display warm biases at buoys 44017 (off the northeast coast of Long Island) and 44076 (the farthest offshore location considered, southeast of Cape
Cod). Although GOES-16 follows the diurnal cycle rather than representing only the daily average SSTs, as is the case with OSTIA, on average the
correlation across all sites is comparable between the two SST products. RMSE is higher for GOES-16 at every buoy (with an
average 0.64 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, compared with 0.52 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for OSTIA), and EMD for GOES-16 is higher than that for OSTIA at every
location except the floating lidars (an average of 0.27, compared with 0.21 for OSTIA).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2207">Mean bias, RMSE, correlation, and EMD for GOES-16 and OSTIA SSTs at each buoy location shown, combined for June and July, along with the average metrics over all sites for each product.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f03.png"/>

        </fig>

      <p id="d1e2216">Although OSTIA on average, across all buoys surveyed, better represents measured SSTs, GOES-16 performs better on average across only the floating
lidar sites – Atlantic Shores, NYSERDA E05, and NYSERDA E06 (Table <xref ref-type="table" rid="Ch1.T6"/>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e2225">Average performance metrics for OSTIA and GOES-16 SSTs across the three floating lidar sites for June and July 2020.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Metric</oasis:entry>
         <oasis:entry colname="col2">OSTIA</oasis:entry>
         <oasis:entry colname="col3">GOES-16</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Bias (<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M84" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RMSE (<inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.67</oasis:entry>
         <oasis:entry colname="col3">0.65</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Correlation</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3">0.97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EMD</oasis:entry>
         <oasis:entry colname="col2">0.31</oasis:entry>
         <oasis:entry colname="col3">0.27</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2343">PDFs of 140 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds at each lidar location, for June (<bold>a</bold>, <bold>c</bold>, and <bold>e</bold>) and July (<bold>b</bold>, <bold>d</bold>, and <bold>f</bold>), taken via observations (gray), GOES-16-forced model output (blue), and OSTIA-forced model output (red).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f04.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Monthly wind speeds</title>
      <p id="d1e2390">The probability distribution functions (PDFs) of hub-height wind speeds at each lidar show that WRF, on a monthly timescale and with a
10 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> output resolution, generally captures the shape of the observed wind speed distribution at each lidar (Fig. <xref ref-type="fig" rid="Ch1.F4"/>), which
suggests that the model itself is performing as it should. The wind speed distributions for each simulation maintain an even closer similarity in
shape to one another, which highlights the biases directly related to the particular SST data set being used. A box plot of wind speeds across the
entire domain for each simulation and for both months (not shown) indicates that although GOES-16 and OSTIA present near-identical average hub-height
wind speeds, GOES-16 winds show a greater spread than OSTIA. Additionally, in both simulations, whole-domain winds in June tend to be significantly
faster than July winds (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2407">Modeled hub-height wind speed bias and correlation for simulations forced with GOES-16 (blue) and OSTIA (red) SSTs during June and July 2020 at the Atlantic Shores lidar <bold>(a–d)</bold>, the NYSERDA E05 lidar <bold>(e–h)</bold>, and the NYSERDA E06 lidar <bold>(i–l)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f05.png"/>

        </fig>

      <p id="d1e2425">A comparison between each of the two simulations of monthly hub-height wind speed bias and correlation shows that they perform quite similarly during
both June and July (bias and correlation shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>). Both products over-predict wind speeds, except at the two NYSERDA lidars
during June. The correlation of each product's forecasted winds with observations, from 100 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above sea level and higher, is above 0.65 at all three lidars during both June and July.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2441">Modeled hub-height (140 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind speed differences, GOES-16 – OSTIA, for June <bold>(a)</bold> and July <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f06.png"/>

        </fig>

      <p id="d1e2464">A map of the domain displaying the June and July average wind speed differences between the GOES-16- and OSTIA-forced simulations, overlaid by wind
barbs indicating the average GOES-16 wind speeds, is shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/>. In general, wind speeds deviate from each other only by small
amounts on a monthly timescale. The results show maximum average wind speed differences between the two simulations of up to 0.25 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
for each month.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e2489">Weather events selected for evaluation.</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">Start date (UTC)</oasis:entry>
         <oasis:entry colname="col2">End date (UTC)</oasis:entry>
         <oasis:entry colname="col3">Event length</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">21 Jun 2020 13:40:00</oasis:entry>
         <oasis:entry colname="col2">22 Jun 2020 15:20:00</oasis:entry>
         <oasis:entry colname="col3">25 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> 40 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10 Jul 2020 06:25:00</oasis:entry>
         <oasis:entry colname="col2">11 Jul 2020 09:00:00</oasis:entry>
         <oasis:entry colname="col3">26 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> 25 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18 Jul 2020 02:05:00</oasis:entry>
         <oasis:entry colname="col2">18 Jul 2020 14:10:00</oasis:entry>
         <oasis:entry colname="col3">12 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> 5 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Event-scale wind speeds</title>
      <p id="d1e2610">Using the event selection algorithm detailed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>, we locate three periods – one in June and two in July – during which
140 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds in the OSTIA and GOES-16 simulations differ from one another by statistically significant amounts and still both validate
relatively well against observations (<inline-formula><mml:math id="M98" 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> <inline-formula><mml:math id="M99" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.6 at two or more lidars), per the criteria outlined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>. These events are
listed in Table <xref ref-type="table" rid="Ch1.T7"/>. Lidars at which there are relatively large observational data gaps during these time periods (<inline-formula><mml:math id="M100" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 20 %) are
not considered. Therefore, data from only two locations for the June event and the second July event are used. For all three cases, at each lidar
being considered, GOES-16 delivers overall stronger characterization of 140 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds than OSTIA. Validation metrics vary at different
heights, so vertical profiles of bias, <inline-formula><mml:math id="M102" 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>, RMSE, and EMD for each event can be found in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>21–22 June 2020 event</title>
      <p id="d1e2682">We have identified an event that meets our criteria beginning on 21 June 2020 at 13:40:00 UTC and ending on 22 June 2020 at 15:20:00 UTC. During this time period, offshore winds near the coast are southerly, with a tendency to follow the coastline as they rotate around a high-pressure system southeast of New Jersey.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2687">Differences (GOES-16 – OSTIA) in average 140 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds <bold>(a)</bold> and SSTs <bold>(b)</bold> over the entire domain for the 21–22 June event.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f07.png"/>

          </fig>

      <p id="d1e2710">Differences in SSTs between the two simulations do not correspond with significant 140 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speed differences at the three lidars; however,
in other areas of the domain, including a region planned for development just south of Rhode Island (Fig. <xref ref-type="fig" rid="Ch1.F1"/>, marked by “RI”), these
differences are larger, with magnitudes reaching over 2 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). There are not significant SST differences noted
within that region, although land surface temperatures may contribute to a stronger temperature gradient.</p>
      <p id="d1e2743">A planar depiction of 140 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds across the entire domain shows that, although the mean of the magnitude of the differences is roughly
0.25 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, they vary by location across the region. The maximum difference in average wind speeds during this event is actually
2.25 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This is noteworthy, as wind speed differences of this size have significant implications regarding power generation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2790">Hub-height (140 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind speeds and wind directions at the NYSERDA E05 <bold>(a, c)</bold> and NYSERDA E06 <bold>(b, d)</bold> lidars during the 21–22 June event. Atlantic Shores is not shown due to a lack of observational data.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f08.png"/>

          </fig>

      <p id="d1e2813">Model output from the two simulations captures the observed trend of a wind speed increase – but model outputted wind speeds deviate significantly
from each another leading into a first ramping event, during a second ramp event, and once wind speeds began to stabilize
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>). Observational data are only available at the two NYSERDA lidars during these periods. The Atlantic Shores lidar has
significant data gaps, so validation at this location is not conducted.</p>
      <p id="d1e2818">Event validation metrics at both lidars indicate stronger performance by the GOES-16 simulation than OSTIA, particularly at vertical levels associated
with typical offshore turbine hub heights. Validation metrics at hub height (140 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) for the two simulations at NYSERDA E05 and NYSERDA E06 are
shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>. Averaged correlation between the two sites is 0.78 for GOES-16 and 0.76 for OSTIA. The bias at each site is comparable
between the two simulations, at <inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26 and <inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for OSTIA and GOES-16, respectively. Model performance across the vertical
should be taken into consideration if the rotor-equivalent wind speed is used to calculate power generation during extreme shear events, as well as
when looking at turbines of varying hub heights. Of note is that both RMSE and EMD are lower for GOES-16 at all heights (Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2867">Hub-height wind speed validation metrics at the NYSERDA E05 and NYSERDA E06 lidars during the 21–22 June event: bias, RMSE, correlation, and EMD.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2879">Differences (GOES-16 – OSTIA) in average 140 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speed <bold>(a)</bold> and average SST <bold>(b)</bold> during the 10–11 July event.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f10.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>10–11 July 2020 event</title>
      <p id="d1e2910">We have next flagged an event that occurred between 10 July 2020 at 06:25:00 UTC and 11 July 2020 at 09:00:00 UTC. Synoptically, Tropical Storm Fay was observed to be moving in a southerly direction through the region during this time. High wind speeds, which peaked on 10 July 2020 at 18:00:00 UTC, may be attributed to this storm. Average wind directions also reflect the storm path (Fig. <xref ref-type="fig" rid="Ch1.F10"/>). Differences in average wind speed between the two simulations peak at only 1.35 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> – which is around 1 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> less than the maximum difference during the June event. The mean difference in the magnitudes of average wind speeds across the domain is 0.2 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e2968">Wind speed validation metrics at a 140 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub height at the Atlantic Shores, NYSERDA E05, and NYSERDA E06 lidars during the 10–11 July event: bias, RMSE, correlation, and EMD.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f11.png"/>

          </fig>

      <p id="d1e2985">With the winds blowing in a south-southeasterly direction across the leasing area and the differences in GOES-16 showing a relatively stronger
temperature gradient across that area in the direction of the wind, the GOES-16 simulation outputs stronger wind speeds compared with OSTIA
(Fig. <xref ref-type="fig" rid="Ch1.F10"/>). This is reflected in the overall bias seen at the three lidars, although both simulations overall underestimate wind speeds
during this time (Fig. <xref ref-type="fig" rid="Ch1.F11"/>).</p>
      <p id="d1e2993">Near-complete wind data sets exist at all three lidars for the duration of this event. Validation metrics show a correlation of 0.45 or greater
between model output and observations, for both simulations, at 140 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at each lidar site. The models perform the best, across all four
metrics, at NYSERDA E06. Average <inline-formula><mml:math id="M120" 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> between the two products is comparable, at 0.62. Bias strength peaks at <inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.29 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Atlantic
Shores in the GOES-16 simulation. The bias is strongly negative at Atlantic Shores but is positive at NYSERDA E05, the northernmost lidar, in the
GOES-16 simulation. On average, bias in the OSTIA simulation is 0.11 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> stronger (more negative) than that in the GOES-16
simulation. Hub-height (140 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) validation metrics for each simulation at each lidar are shown in Fig. <xref ref-type="fig" rid="Ch1.F11"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e3069">Hub-height (140 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind speed and wind direction at the Atlantic Shores lidar <bold>(a, b)</bold>, the NYSERDA E05 lidar <bold>(c, d)</bold>, and the NYSERDA E06 lidar <bold>(e, f)</bold> during the 10–11 July event.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f12.png"/>

          </fig>

      <p id="d1e3095"><?xmltex \hack{\newpage}?>The GOES-16 and OSTIA simulations output statistically significantly different 140 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds during this period. Both generally track the major observed wind speed patterns at each observation site, although the timing and magnitude of some longer-scale changes are missed by the
models. For example, although the models captured the wind speed increase beginning on 10 July 2020 at 09:00:00 UTC at Atlantic Shores, both erroneously forecast a subsequent down-, up-, and then down-ramp event (Fig. <xref ref-type="fig" rid="Ch1.F12"/>a). At NYSERDA E05, the initial spike in observed speeds occurred several hours earlier than the models forecasted (Fig. <xref ref-type="fig" rid="Ch1.F12"/>c), and, at NYSERDA E06, the models miss the timing and magnitude of a dip in wind speeds that was observed between 10 July 2020 at 15:00:00 UTC and 10 July 2020 at 20:00:00 UTC; they forecast a much larger drop in speed, almost 10 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared with the original 6 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, beginning just as the observed dip recovers. These faults all contribute to the relatively lower correlation of model output from both simulations with observations for this event.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e3147">Differences (GOES-16 – OSTIA) in average 140 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds <bold>(a)</bold> and average SSTs <bold>(b)</bold> and  during the 18 July event.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f13.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>18 July 2020 event</title>
      <p id="d1e3179">The last flagged event occurred between 18 July 2020 at 02:05:00 UTC and 18 July 2020 at 14:10:00 UTC. During this time, a high-pressure system was moving westerly into the region, causing a fall in wind speeds throughout the morning. This front spanned eastward into the Atlantic and aligned perpendicular to the New Jersey coast. Hub-height wind speed differences between the two simulations are varied throughout the domain, with a maximum difference in the magnitudes of average event wind speeds of 1.7 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a mean difference of 0.29 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F13"/>). Larger differences, in particular, are found near the coast, and positive/negative differences vary spatially.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e3220">Hub-height (140 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind speed validation metrics at the Atlantic Shores and NYSERDA E06 lidars during the 18 July event: bias, RMSE, correlation, and EMD.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f14.png"/>

          </fig>

      <p id="d1e3237"><?xmltex \hack{\newpage}?>Sufficient data for this event are present at Atlantic Shores and NYSERDA E06 but not at NYSERDA E05. Validation analysis for the event at the two
lidars indicates that overall the products perform comparably, although OSTIA shows an almost 0.5 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> stronger bias at NYSERDA E06. At
lower heights (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F19"/>), there is clear evidence of GOES-16 outperforming OSTIA at Atlantic Shores. Farther north, at NYSERDA
E06, the relative performance of each simulation is variable. Validation metrics at Atlantic Shores and NYSERDA E06 are shown in
Fig. <xref ref-type="fig" rid="Ch1.F14"/>. Of note is that PDFs of 140 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds during this time (not shown) indicate bimodality in the observed wind speed
distribution. Although OSTIA captures this feature, GOES-16 misses it almost entirely – at both lidars.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e3273">Hub-height (140 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) wind speed and wind direction at the Atlantic Shores lidar <bold>(a, c)</bold> and the NYSERDA E06 lidar <bold>(b, d)</bold> during the 18 July event.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f15.png"/>

          </fig>

      <p id="d1e3296">Over this event's time period, 140 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds drop at both locations from over 14 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to less than 3 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, before beginning to increase again. As with the previous two cases, the models capture the general wind speed trend of slowing throughout the duration of the event, although they both present errors in the magnitude of wind speeds and the timing of wind profile changes. In this case, at NYSERDA E06 they predict a shift in wind direction before one was observed (there is insufficient wind direction data at NYSERDA E05 to make a determination about if this holds true at both lidars). Both simulations exhibit greater spread in wind speeds at each lidar than observations, and both have slower average velocities (Fig. <xref ref-type="fig" rid="Ch1.F15"/>).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e3354">In Sect. <xref ref-type="sec" rid="Ch1.S3"/>, we saw varied performance between the two SST products, depending on the variable in consideration (SST or winds) and the timescale (monthly or event scale). SST in OSTIA validated better than GOES-16 across the buoy array. However, hub-height wind speeds at each lidar
location, for each month, point to a similar performance by both data sets. More nuanced events that occurred over hourly-to-daily timescales, which
were selected based on differences between simulation output and overall WRF performance, also indicate comparable performance between the two
simulations, with, in general, a slightly stronger performance using GOES-16 SSTs. Events such as these are of importance to wind energy forecasts
because we found that they often correlate with wind ramps, during which times wind speeds fall below the rated power section of turbine power
curves. In this region, power output is very sensitive to fluctuations in wind speed. Therefore, obtaining the most accurate wind forecast within this
regime is important.</p>
      <p id="d1e3359"><?xmltex \hack{\newpage}?>Although OSTIA SSTs at the lidars validate better than GOES-16, modeled hub-height (140 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) winds do not demonstrate the same trend. Compared
with the 140 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind heat maps for the events (Figs. <xref ref-type="fig" rid="Ch1.F9"/>, <xref ref-type="fig" rid="Ch1.F11"/>, and <xref ref-type="fig" rid="Ch1.F14"/>), good wind characterization
performance does not necessarily correspond to good SST validation (Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>), which implies that SSTs across the full study area, not
just localized temperatures, may have an impact on winds in the leasing area.</p>
      <p id="d1e3388">To further examine the disjointedness between SST and wind speed point validations, we consider model performance during each event in conjunction
with how well their corresponding SSTs validate with observations across the buoy array (where data are available). During the 21–22 June event,
140 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speed bias and EMD in both simulations are the lowest of all the cases considered (Fig. <xref ref-type="fig" rid="Ch1.F9"/>), but there is an overall
cold SST bias (<inline-formula><mml:math id="M142" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.31 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for OSTIA, <inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.84 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for GOES-16) across the buoy arrays, and SST correlation is very poor (Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F20"/>). During the 10–11 July event, OSTIA SSTs validate better than GOES-16 (Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F21"/>), but the two simulation's hub-height wind speeds validate similarly, with relatively poor performance across all validation metrics compared with the other flagged events. During the 18 July event, while SSTs from both products validated the best out of the three events (Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F22"/>) and the models captured the overall trend in wind speeds with correlations of 0.88 for both simulations, EMD and the magnitude of the bias were both greater than the 21–22 June event.</p>
      <p id="d1e3446">Across all three events there is no clear relationship between wind forecasting ability and SST correctness. However, as with the monthly analysis, the
relatively larger differences between SST and wind speed validations in the GOES-16 event simulations compared with those of OSTIA suggest that
GOES-16's finer temporal and spatial resolutions may more accurately influence larger-scale dynamics throughout the region, leading to greater
forecasting skill. Though beyond the scope of this study, more widespread in situ observations and validation of the two data sets against
observations would help address how large of an effect this is. Such a study would additionally allow for a better understanding of how much a nuanced
representation of diurnal SST cycling (as in the GOES-16 product, Fig. <xref ref-type="fig" rid="Ch1.F2"/>) influences the accuracy of wind forecasting in the region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16" specific-use="star"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e3454">Differences (GOES-16 – OSTIA) in average SST for June <bold>(a)</bold> and July <bold>(c)</bold>, and in modeled 140 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind speeds for June <bold>(b)</bold> and July <bold>(d)</bold>.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f16.png"/>

      </fig>

      <p id="d1e3483">Rapid fluctuations in wind speed, on the order of minutes to hours, are overall not well captured by either simulation. This is most evident during
the 10–11 July event, when the magnitude and timing of wind speed changes are most misaligned. Correlation in particular is low (0.62), and RMSE is
high (3 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In comparison, during the 18 July event, when wind speeds slow without any ramping, both simulations perform better; in
particular, correlation is relatively strong for both (0.88). Similarly, during the 21–22 June event, which lacks any sharp ramping, correlation is
also above 0.75 for both GOES-16 and OSTIA. Shorter, weaker fluctuations in wind speed during this event are not well captured by either simulation
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>), although GOES-16 validates with nominally less error (Fig. <xref ref-type="fig" rid="Ch1.F9"/>). It is possible that GOES-16's finer
resolution may contribute to its slightly stronger performance in this case, as the product does capture hourly fluctuations in SSTs. In contrast,
during the 10–11 July storm, winds are so strong and variable that SST resolution does not appear to make a significant difference, and the two
simulations both show significant error.</p>
      <p id="d1e3507">Also of note are the differences in weather between June and July in the Mid-Atlantic region. June average wind speeds are faster than those in July
for both simulations. Overall cooler SSTs throughout the region are also present in June, with a weaker temperature gradient in the cold bubble
offshore of Cape Cod than in July. The difference in temperature in this region between GOES-16 and OSTIA is more pronounced in July, with GOES-16
showing warmer monthly average SSTs (Fig. <xref ref-type="fig" rid="Ch1.F16"/>). The corresponding average wind speed and surface pressure differences between the
products are also more distinct in July. While the two simulations validated similarly for each month, in the more turbulent July environment, OSTIA
outperforms GOES-16. However, due to the greater number of missing pixels that required gap-filling in July as compared with June (36.86 % more
over the course of each month, resulting from the increased cloud cover – and the possible stronger coastal cold pool), this indication of product
superiority may be questionable. The addition of more refined post-processing to account for incorrectly cloud-filtered pixels, as shown in
<xref ref-type="bibr" rid="bib1.bibx28" id="text.31"/>, has been demonstrated to improve the accuracy of GOES-16 SSTs. A comparison of simulations using OSTIA against those
using the sophisticated GOES-16 product should be conducted in the future to evaluate the level of improvement delivered using the latter's more
computationally expensive data set.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3523">In this study, we evaluated how SST inputs affect how well WRF forecasts winds off the Mid-Atlantic coast. We initially considered three
remotely sensed SST data sets and validated them against in situ observations taken at various buoys in the region. The first data set, OSTIA, has a
0.05<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, is output at a daily interval, and is assimilated with in situ observations. The second product, GOES-16, has a finer
resolution of 0.02<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and is generated on an hourly interval but does not have the same level of post-processing as OSTIA. The data set
contains gaps and lacks assimilation with in situ observations. To account for missing data, we ran an EOF process to statistically analyze trends in
each monthly data set and fill its gaps. The third SST data set, MUR25, has a 0.2<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial resolution and a daily temporal resolution, and
similar to OSTIA it is assimilated with in situ observations. MUR25 was removed from further analysis after SST validation, as its performance
compared with the other two data sets was notably poor.</p>
      <p id="d1e3553">Following SST validation, WRF was run for June and July of 2020 in the Mid-Atlantic domain depicted in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. The simulation setups were
identical with the exception of the input SST field (key model parameters presented in Table <xref ref-type="table" rid="Ch1.T2"/>). We compared the characterized
140 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (hub-height) winds against lidar observations by calculating correlation, bias, RMSE, and EMD on both monthly and event-length (hourly)
timescales. Times during which there was significant difference in wind speed output from the two simulations and the general WRF performance was
satisfactory were flagged as events. Our findings indicated that while OSTIA SSTs validated better against buoy measurements, the model validated
comparably when forced with each SST data set, with GOES-16 having output nominally more accurate wind speeds. These findings suggest that the
differences in temporal and spatial resolution between the two SST products influence wind speed characterization, with finer resolutions leading to
better forecasting skill.</p>
      <p id="d1e3568">Overall, this study shows that SST inputs to WRF do affect forecasted winds and how well they validate against observations in future leasing areas in
the Mid-Atlantic. Although GOES-16 SSTs validate worse against buoy observations than OSTIA SSTs, on both monthly and event timescales, the wind
characterization produced using GOES-16 inputs validates as well as, or in some cases better than, the OSTIA characterization, indicating that finer
temporal and spatial SST resolution may contribute to improved wind forecasts in this region. To further explore this, a higher-quality post-processed
GOES-16 data set assimilated with in situ observations, such as that created by <xref ref-type="bibr" rid="bib1.bibx28" id="text.32"/>, could be evaluated in future studies;
generating a comparable data set was beyond the scope of this study.</p>
      <p id="d1e3574">This step of the research is in its early stages, and more cases need to be considered – on both monthly and event scales. Future work should focus on
identifying and analyzing more promising events – in particular, wind ramps and low-pressure systems, as they have shown to produce larger
differences between GOES-16- and OSTIA-forced model output. Wind direction validation, as well, should be considered in the future, as it was beyond
the scope of this study.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><?xmltex \opttitle{Average validation metrics through 200\,{$\unit{{m}}$} for flagged cases}?><title>Average validation metrics through 200 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for flagged cases</title>
      <p id="d1e3597">Contents of this Appendix include plots of horizontally averaged bias, correlation, RMSE, and EMD from sea level through a vertical height of
200 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for each flagged case at each relevant lidar. Figure <xref ref-type="fig" rid="App1.Ch1.S1.F17"/> shows metrics at the two NYSERDA lidars for the 21–22 June
event, Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F18"/> shows metrics at all three lidars for the 10–11 July event, and Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F19"/> shows metrics at Atlantic Shores
and NYSERDA E06 for the 18 July event. The GOES-16 simulations are indicated by the blue lines and labeled with “G”, while the OSTIA simulations are
shown in red and labeled with “O”. The labels AS, E05, and E06 refer to Atlantic Shores, NYSERDA E05, and NYSERDA E06, respectively.</p>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F17"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e3616">Validation metrics at NYSERDA E05 and NYSERDA E06 during the 21–22 June event: bias <bold>(a)</bold>, RMSE <bold>(b)</bold>, correlation <bold>(c)</bold>, and EMD <bold>(d)</bold>. Hub height is marked by a horizontal line at 140 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The label “G” refers to GOES-16 simulations, while “O” refers to OSTIA simulations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f17.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F18"><?xmltex \currentcnt{A2}?><?xmltex \def\figurename{Figure}?><label>Figure A2</label><caption><p id="d1e3648">Validation metrics at Atlantic Shores, NYSERDA E05, and NYSERDA E06 during the 10–11 July event: bias <bold>(a)</bold>, RMSE <bold>(b)</bold>, correlation <bold>(c)</bold>, and EMD <bold>(d)</bold>. Hub height is marked by a horizontal line at 140 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The label “G” refers to GOES-16 simulations, while “O” refers to OSTIA simulations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f18.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F19"><?xmltex \currentcnt{A3}?><?xmltex \def\figurename{Figure}?><label>Figure A3</label><caption><p id="d1e3679">Validation metrics at Atlantic Shores and NYSERDA E06 during the 18 July event: bias <bold>(a)</bold>, RMSE <bold>(b)</bold>, correlation <bold>(c)</bold>, and EMD <bold>(d)</bold>. Hub height is marked by a horizontal line at 140 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The label “G” refers to GOES-16 simulations, while “O” refers to OSTIA simulations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f19.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</app>

<app id="App1.Ch1.S2">
  <?xmltex \currentcnt{B}?><label>Appendix B</label><title>Sea surface temperature validation metrics for the flagged events</title>
      <p id="d1e3718">Contents of this Appendix include heat maps of SST validation metrics for each of the three events flagged in this study. Each plot includes a
different subset of the buoy array; locations with missing data were removed from analysis on a case by case basis. The average value for each metric
across all buoys considered is located on the far right side of each row. The validation metrics considered are bias, RMSE, correlation, and
EMD. Figure <xref ref-type="fig" rid="App1.Ch1.S2.F20"/> shows SST validation metrics for the 21–22 June event, Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F21"/> shows SST validation metrics for the
10–11 July event, and Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F22"/> shows SST validation metrics for the 18 July event.</p><?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S2.F20"><?xmltex \currentcnt{B1}?><?xmltex \def\figurename{Figure}?><label>Figure B1</label><caption><p id="d1e3729">SST validation metrics (bias, RMSE, correlation, EMD) during the 21–22 June event, calculated across a subset of the buoy array. Omitted buoys are absent due to missing observational data at those locations.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f20.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S2.F21"><?xmltex \currentcnt{B2}?><?xmltex \def\figurename{Figure}?><label>Figure B2</label><caption><p id="d1e3742">SST validation metrics (bias, RMSE, correlation, EMD) during the 10–11 July event, calculated across a subset of the buoy array. Omitted buoys are absent due to missing observational data at those locations.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f21.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S2.F22"><?xmltex \currentcnt{B3}?><?xmltex \def\figurename{Figure}?><label>Figure B3</label><caption><p id="d1e3757">SST validation metrics (bias, RMSE, correlation, EMD) during the 18 July event, calculated across a subset of the buoy array. Omitted buoys are absent due to missing observational data at those locations.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f22.png"/>

      </fig>

</app>

<app id="App1.Ch1.S3">
  <?xmltex \currentcnt{C}?><label>Appendix C</label><?xmltex \opttitle{Wind speed validation heat maps at 100\,{$\unit{{m}}$} and 120\,{$\unit{{m}}$}}?><title>Wind speed validation heat maps at 100 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and 120 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e3792">Although this study considered a hub height of 140 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and therefore analyzed wind speeds primarily at that height, we include here validation
metrics for each flagged event, at each lidar, for 100 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and 120 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub heights. The 140 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub heights are expected to be close to
the standard for offshore wind development <xref ref-type="bibr" rid="bib1.bibx23" id="paren.33"/>, but shorter turbines may also be constructed; additionally, having a better
understanding of model performance across the rotor-swept area and not just at hub height can better inform wind power potential characterization.</p>
      <p id="d1e3830">Below, Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F23"/> presents 100 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> model performance at the two NYSERDA lidars for the 21–22 June event, and
Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F24"/> shows performance metrics for the same event and lidars at 120 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. At both heights, GOES-16 performs slightly better
than OSTIA.</p><?xmltex \hack{\newpage}?>
      <p id="d1e3854"><?xmltex \hack{\vspace*{120mm}}?>Figure <xref ref-type="fig" rid="App1.Ch1.S3.F25"/> shows 100 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> model performance at all three lidars for the 10–11 July event, and Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F26"/> presents
performance metrics at all three lidars for the 10–11 July event at 120 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. While GOES-16 shows a higher average wind speed bias than OSTIA, the results from GOES-16 have a lower average RMSE and a higher average correlation than OSTIA. The wind speed bias at all three lidars is notably strong, with a negative bias at Atlantic Shores (over 1 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> slower than observed) and a positive bias at both NYSERDA lidars (well over 1 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at a 120 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub height at NYSERDA E05).</p>
      <p id="d1e3922">Figure <xref ref-type="fig" rid="App1.Ch1.S3.F27"/> depicts 100 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> model performance at Atlantic Shores and NYSERDA E06 for the 18 July event, and
Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F28"/> shows performance metrics at Atlantic Shores and NYSERDA E06 for the 18 July event at 120 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Although both
simulations' hub-height wind speeds show comparable correlation with observations, OSTIA has an over 0.1 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> stronger wind speed bias
than GOES-16, and GOES-16 validates with lower RMSE and EMD values.</p>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S3.F23"><?xmltex \currentcnt{C1}?><?xmltex \def\figurename{Figure}?><label>Figure C1</label><caption><p id="d1e3964">The 100 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at NYSERDA E05 and NYSERDA E06 during the 21–22 June event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f23.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

      <?xmltex \floatpos{h}?><fig id="App1.Ch1.S3.F24"><?xmltex \currentcnt{C2}?><?xmltex \def\figurename{Figure}?><label>Figure C2</label><caption><p id="d1e3985">The 120 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at NYSERDA E05 and NYSERDA E06 during the 21–22 June event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f24.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

      <?xmltex \floatpos{h}?><fig id="App1.Ch1.S3.F25"><?xmltex \currentcnt{C3}?><?xmltex \def\figurename{Figure}?><label>Figure C3</label><caption><p id="d1e4006">The 100 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at NYSERDA E05 and NYSERDA E06 during the 10–11 July event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f25.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

      <?xmltex \floatpos{h}?><fig id="App1.Ch1.S3.F26"><?xmltex \currentcnt{C4}?><?xmltex \def\figurename{Figure}?><label>Figure C4</label><caption><p id="d1e4028">The 120 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at NYSERDA E05 and NYSERDA E06 during the 10–11 July event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f26.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

      <?xmltex \floatpos{h}?><fig id="App1.Ch1.S3.F27"><?xmltex \currentcnt{C5}?><?xmltex \def\figurename{Figure}?><label>Figure C5</label><caption><p id="d1e4049">The 100 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at Atlantic Shores and NYSERDA E06 during the 18 July event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f27.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S3.F28"><?xmltex \currentcnt{C6}?><?xmltex \def\figurename{Figure}?><label>Figure C6</label><caption><p id="d1e4070">The 120 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> hub-height validation metrics at Atlantic Shores and NYSERDA E06 during the 18 July event: bias, RMSE, correlation, and EMD.</p></caption>
        <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://wes.copernicus.org/articles/8/1/2023/wes-8-1-2023-f28.png"/>

        <?xmltex \hack{\vspace*{3mm}}?>
      </fig>

<?xmltex \hack{\newpage}?>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4095">Buoy data outside of the Atlantic Shores and NYSERDA floating lidars were collected via the National Oceanic and Atmospheric Administration's NBDC (<uri>https://www.ndbc.noaa.gov</uri>; <xref ref-type="bibr" rid="bib1.bibx31" id="altparen.34"/>). Satellite data were collected via the Physical Oceanography Distributed Active Archive Center. The WRF namelist may be obtained at <ext-link xlink:href="https://doi.org/10.5281/zenodo.7275214" ext-link-type="DOI">10.5281/zenodo.7275214</ext-link> <xref ref-type="bibr" rid="bib1.bibx33" id="paren.35"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4113">SR downloaded and processed the GOES-16 data, ran the model for this SST input, and led the data analysis with contributions from MO, GX, and CD. MO designed the model setup, ran the model with OSTIA data, and contributed to the data analysis.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4119">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4125">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4131">We thank Patrick Hawbecker (National Center for Atmospheric Research) for providing code to overwrite ERA5 SSTs with those of each satellite product. We also thank Sarah C. Murphy (Department of Marine and Coastal Sciences, Rutgers University), Travis Miles (Department of Marine and Coastal Sciences, Rutgers University), and Joseph F. Brodie (Department of Atmospheric Research, Rutgers University) for providing help and guidance with the DINEOF software.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4136">This research has been supported by the U.S. Department of Energy Office of Energy Efficiency and Renewable Energy Wind Energy Technologies Office and by the National Offshore Wind Research and Development Consortium under agreement no. CRD-19-16351.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4143">This paper was edited by Sara C. Pryor and reviewed by two anonymous referees.</p>
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