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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">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-12-3489-2020</article-id><title-group><article-title>A satellite-derived database for stand-replacing windthrow events in boreal forests <?xmltex \hack{\break}?> of European Russia in 1986–2017</article-title><alt-title>Windthrow events in boreal
forests of European Russia</alt-title>
      </title-group><?xmltex \runningtitle{Windthrow events in boreal
forests of European Russia}?><?xmltex \runningauthor{A.~N. Shikhov et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Shikhov</surname><given-names>Andrey N.</given-names></name>
          <email>shikhovan@gmail.com</email>
        <ext-link>https://orcid.org/0000-0003-2489-8436</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Chernokulsky</surname><given-names>Alexander V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3635-6263</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Azhigov</surname><given-names>Igor O.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Semakina</surname><given-names>Anastasia V.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Faculty of Geography, Perm State University, Perm, 614990, Russia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of
Sciences, Moscow, 119017, Russia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andrey N. Shikhov (shikhovan@gmail.com)</corresp></author-notes><pub-date><day>17</day><month>December</month><year>2020</year></pub-date>
      
      <volume>12</volume>
      <issue>4</issue>
      <fpage>3489</fpage><lpage>3513</lpage>
      <history>
        <date date-type="received"><day>9</day><month>April</month><year>2020</year></date>
           <date date-type="rev-request"><day>7</day><month>May</month><year>2020</year></date>
           <date date-type="rev-recd"><day>26</day><month>August</month><year>2020</year></date>
           <date date-type="accepted"><day>9</day><month>November</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Andrey N. Shikhov et al.</copyright-statement>
        <copyright-year>2020</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://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020.html">This article is available from https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e115">Severe winds are among the main causes of disturbances in
boreal and temperate forests. Here, we present a new geographic information system (GIS) database of stand-replacing windthrow events in the forest zone of European Russia (ER) for the 1986–2017 period. The delineation of windthrow areas was based on the full Landsat archive and two Landsat-derived products on forest cover change, namely the Global Forest Change and the Eastern Europe's forest cover change datasets. Subsequent verification and analysis of each windthrow was carried out manually to determine the type of related storm event, its date or date range, and geometrical characteristics. The database contains 102 747 elementary areas of damaged forest that were combined into 700 windthrow events caused by 486 convective or non-convective storms. The database includes stand-replacing windthrows only with an area <inline-formula><mml:math id="M1" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 and <inline-formula><mml:math id="M2" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.25 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for the events caused by tornadoes and other storms, respectively. Additional information such as weather station reports and event descriptions from media sources is also provided. The total area of stand-replacing windthrows amounts to 2966 km<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, which is 0.19 % of the forested area of the study region. Convective windstorms contribute 82.5 % to the total wind-damaged area, while tornadoes and non-convective windstorms are responsible for 12.9 % and 4.6 % of this area, respectively. Most of the windthrow events in ER happened in summer, which is in contrast to Western and Central Europe, where they mainly occur in autumn and winter. Due to several data and method limitations, the compiled database is spatially and temporally inhomogeneous and hence incomplete. Despite this incompleteness, the presented database provides a valuable source of spatial and temporal information on windthrow in ER and can be used by both science and management. The database is available at <ext-link xlink:href="https://doi.org/10.6084/m9.figshare.12073278.v6" ext-link-type="DOI">10.6084/m9.figshare.12073278.v6</ext-link> (Shikhov et al., 2020).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e162">Forests are a valuable natural resource that are important for the economy,
society, and sustainable development. Forest ecosystems are regularly exposed
to natural disturbance agents such as fires, droughts, insect outbreaks, and
windstorms. Being an intrinsic part of forest ecosystem dynamics (Attiwill,
1994; Seidl et al., 2017), natural disturbances cause substantial
environmental and economic damage (Schelhaas et al., 2003; Gardiner et al.,
2010; van Lierop et al., 2015). In boreal and temperate forests, windstorms
constitute one of the main drivers of natural disturbances (Ulanova, 2000;
Forzieri et al., 2020). In Europe, windthrows contribute more than half of
the total area of natural disturbances, including abiotic and biotic causes
(Schelhaas et al., 2003; Gardiner et al., 2010).</p>
      <p id="d1e165">Recently, disturbance regimes have changed considerably in many forest
ecosystems worldwide (Seidl et al., 2011, 2017; Senf et al., 2018).
In particular, both the occurrence and severity of disturbances have increased
in different regions, including those related to forest fires (Westerling,
2016), insect outbreaks (Kautz et al., 2017), and
droughts<?pagebreak page3490?> (Millar and Stephenson, 2015). Researchers have revealed a statistically
significant increase in wind-related forest disturbances in Western, Central,
and Northern Europe (Seidl et al., 2014; Gregow et al., 2017) and in
European Russia (ER; Potapov et al., 2015).</p>
      <p id="d1e168">The observed increase in the frequency and severity of windthrow events is
associated with changes in forest structure, like increasing growing stock
and median age, primarily in coniferous forests (Schelhaas et al., 2003;
Senf et al., 2018), and with climatic changes (Overpeck et al., 1990; Lassig
and Moĉalov, 2000; Seidl et al., 2011, 2014, 2017). An intensification
of winter windstorms (Gardiner et al., 2010; Usbeck et al., 2010; Gregow et
al., 2017) and an increase in the frequency and intensity of severe
convective storms in the warm season (Overpeck et al., 1990; Diffenbaugh et
al., 2013; Chernokulsky et al., 2017; Radler et al., 2019) can be considered
as the main climatic drivers for increasing wind-related damage in boreal
and temperate forests.</p>
      <p id="d1e171">For the correct attribution of forest windthrow to particular causes, it is
important to obtain corresponding data on such events. Recently, several
long-term databases of windthrow events in boreal and temperate forests,
often together with other types of disturbances, have been collected at a
national and international scale. The longest windthrow data series have
been compiled in Sweden (Nilsson et al., 2004) and Switzerland (Usbeck et
al., 2010) based on literature reviews and forestry services reports.
The European Forest Institute compiled the database of destructive storms in
European forests for 1951–2010 (Gardiner et al., 2010). A new geographic information system (GIS) database
of wind disturbance in European forests has been compiled in 2019 by
aggregating multiple datasets collected by 26 research institutes and
forestry services across Europe (Forzieri et al, 2020). It comprises more
than 80 000 forested areas that were disturbed by wind in 2000–2018. Compared
to other European countries, windthrow events in Russia remain understudied.
Long-term databases of windthrow events have been collected only for
individual regions, for example, for the middle Urals (Lassig and
Moĉalov, 2000) and the Central Forest Reserve in the Tver region
(Ulanova, 2000).</p>
      <p id="d1e175">The main data sources of previously compiled windthrow databases in Russia
were the literature reviews, reports of forestry services, aerial
observations, and field investigations (Skvortsova et al., 1983; Lassig and
Moĉalov, 2000; Ulanova, 2000). Meanwhile, satellite images have become
the important data source for windthrow monitoring in Russian forests in
recent decades (Krylov et al., 2012). Indeed, satellite data can be
especially informative for studying Russian low-populated boreal forests,
known in Russia as the taiga, which represent the largest forested region
globally. They cover approximately 7.63 million km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, which is 22 % of
the world's forested areas (WWF, 2007).</p>
      <p id="d1e187">The use of satellite images for obtaining information on windthrow was proposed
back in 1975 (Sayn-Wittgenstein and Wightman, 1975). However, the widespread
utilization of satellite data to estimate the interannual variability in
wind-related forest damage (e.g., Fraser et al., 2005; Baumann et al., 2014)
became feasible after the opening of the Landsat archive (Wulder et al., 2012)
and two Landsat-based products, namely the Global Forest Change (GFC) map
(Hansen et al., 2013) and Eastern Europe's forest cover change (EEFCC) dataset (Potapov et al., 2015). Thus, GIS databases of windthrow events have been
collected for some Russian regions based on Landsat archive and the GFC data,
i.e., for the Urals and the northeastern part of ER (Shikhov and Zaripov,
2018; Shikhov et al., 2019b), the Kostroma region and adjacent areas (Petukhov
and Nemchinova, 2014), and southern Sakhalin (Korznikov et al., 2019). Shikhov
and Chernokulsky (2018) found 110 previously unknown tornado-induced
windthrow areas in ER based on satellite images. However, for the entire ER,
there are only rough estimates of storm-related forest damage (Potapov et
al., 2015). The contribution of various weather phenomena like convective
and non-convective windstorms, snowstorms, and tornadoes to the total
wind-induced forest damage, as well as the interannual and seasonal distribution
of windthrow events, remains unknown for ER territory. The appearance of
such data can be helpful for forest science and management, as well as for
the investigation of severe storms.</p>
      <p id="d1e190">In this study, we present a detailed GIS database of relatively large
stand-replacing windthrow events in the forest zone of ER for the period
1986–2017. The database contains windthrow areas with an indication of storm
event types and dates, geometrical characteristics of windthrow areas, and
additional information. To determine these characteristics, we use the
Landsat archive, the GFC and EEFCC Landsat-based forest loss data products,
high-resolution satellite images from public map services, supplementary
information including weather station observations, databases on hazardous
weather events, damage reports in the media sources, and reanalysis data. We
describe the data used and the study region in Sect. 2 and explain the
database structure in Sect. 3. Section 4 describes the windthrow
delineation process and assessment of the geometrical parameters of
windthrow areas. Section 5 presents spatiotemporal variability in
wind-damaged areas and distributions of their geometrical characteristics.
Section 6 discusses the main limitations of the method and the compiled
dataset, while Sect. 8 draws the main conclusions of the paper.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e195">Land cover types within the study area according to the
map of vegetation cover of Russia developed by the Space Research Institute
of the Russian Academy of Sciences (Bartalev et al., 2016).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Region and data</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The study region</title>
      <p id="d1e219">The study region includes the forest zone of ER (Fig. 1) between the
forest–steppe transition zone in the south and forest–tundra transition zone
in the north. The availability of the EEFCC dataset determines the eastern
boundary of the study region that broadly coincides with the Ural Ridges.</p>
      <?pagebreak page3491?><p id="d1e222"><?xmltex \hack{\newpage}?>We used the 250 m resolution map of the vegetation cover of Russia (Bartalev
et al., 2016) to estimate forest-covered area and dominant forest species
(Fig. 1). Forests cover 54.6 % of the study region. The most widespread
dominant forest species are dark coniferous (<italic>Picea abies</italic>, <italic>Picea obovata</italic>, <italic>Abies sibirica</italic>), light coniferous (<italic>Pinus sylvestris</italic>),
small-leaved (<italic>Betula pendula</italic>, <italic>Betula pubescens</italic>, <italic>Populus tremula</italic>), and some broadleaved species (<italic>Tilia cordata</italic>, <italic>Quercus robur</italic> and others) (Kalyakin et al., 2004). Secondary (regrown after logging or wildfires) small-leaved and mixed
forests cover approximately 61 % of the total forested area. Old-growth
dark coniferous forests are widespread on the western slope of the northern
Urals and adjacent plain, and pine forests cover the largest area
(<inline-formula><mml:math id="M6" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 100 000 km<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) in the northwest of ER (Fig. 1).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Initial data</title>
      <p id="d1e278">We used multiple data sources to collect information on windthrow events for
the 1986–2017 period. In particular, we utilized satellite data to delineate
windthrow areas and determine a storm event type and used additional
information to determine the dates of storm events.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Primary information for windthrow delineation and verification</title>
      <?pagebreak page3492?><p id="d1e289">The Landsat-based GFC data were utilized to search and delineate forested
areas affected by storm events in 2001–2017. The data come as the integer
raster with a 30 m cell size. It contains information on stand-replacing
forest disturbances at annual temporal resolution. In the boreal forest
regions, the overall accuracy of the forest loss detection in the GFC is
99.3 %, while user's and producer's accuracies are 93.9 % and 88.0 %, respectively (Hansen et al., 2013). Here, producer's accuracy is the ratio of correctly classified forest loss area to the actual forest loss area; user's accuracy is the ratio of correctly classified forest loss area to the same area according to the verified forest loss area. The GFC data were downloaded from <uri>http://earthenginepartners.appspot.com/google.com/gMG7KbLG</uri> (last access: 15 December 2020). The EEFCC dataset was used to search and delineate windthrow areas in 1986–2000. The data come as the integer raster with a 30 m cell size. It contains information on forest loss classified into four broad periods: 1986–1988, 1989–2000, 2001–2006, and 2007–2012. This rough time determination is associated with rareness of the Landsat images between 1989 and 1998. The detection of gross forest loss in the EEFCC has producer's and user's accuracy of 88 % and 89 %, respectively (Potapov et al., 2015). The data were downloaded from
<uri>https://glad.geog.umd.edu/dataset/eastern-europe-forset-cover-dynamics-1985-2012/</uri> (last access: 15 December 2020).</p>
      <p id="d1e298">Landsat images (L1T processing level), i.e., images from the Landsat
Thematic Mapper (TM), the Enhanced Thematic Mapper Plus (ETM<inline-formula><mml:math id="M8" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>), and the
Operational Land Imager (OLI), were used to confirm the wind-related nature
of forest disturbance and determine the storm types and dates (or ranges of dates) of windthrow occurrence in 1986–2017. It addition, many windthrow areas appearing before 2001 were delineated with Landsat images (see Sect. 3.1.3 for details). Sentinel-2 images were used to confirm the wind-related nature of forest disturbance and determine the storm types and dates (or ranges of dates) of windthrow event occurrence for the 2016–2017 period. We downloaded the Landsat and Sentinel-2 images from <uri>https://earthexplorer.usgs.gov/</uri> (last access: 15 December 2020) and
<uri>https://eos.com/landviewer</uri> (last access: 15 December 2020).</p>
      <p id="d1e314">High-resolution (0.5–2 m) satellite images, hereinafter HRIs, were used to
discriminate the type of storm event causing the windthrow (windstorm or
tornado). Usually two to eight high-resolution images are available for the period 2001–2017. No HRIs are available before 2001. To view and analyze the HRIs, we used mainly Google Earth Pro, while other public map services (i.e., Bing Maps, ESRI Imagery, Here) were used to a lesser degree. We should highlight that the availability of the HRIs substantially varies among different parts of ER. In particular, some areas in the northern part of ER are not covered by the HRIs.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e321">Attribute table of the GIS layer of elementary damaged
areas (EDAs).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Field name</oasis:entry>
         <oasis:entry colname="col2">Field alias</oasis:entry>
         <oasis:entry colname="col3">Type, length</oasis:entry>
         <oasis:entry colname="col4">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">OBJECTID</oasis:entry>
         <oasis:entry colname="col2">OBJECTID</oasis:entry>
         <oasis:entry colname="col3">Object ID</oasis:entry>
         <oasis:entry colname="col4">Index number of EDA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Windthrow ID</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Windthrow ID</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Storm_ID</oasis:entry>
         <oasis:entry colname="col2">ID of storm event</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">ID of a storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Area</oasis:entry>
         <oasis:entry colname="col2">Area (km<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">EDA area (km<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e440">Attribute table of the GIS layer of windthrow areas in the
forest zone of ER (1986–2017).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.9}[.9]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="5cm"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="9.3cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Field name</oasis:entry>
         <oasis:entry colname="col2">Field alias</oasis:entry>
         <oasis:entry colname="col3">Type, length</oasis:entry>
         <oasis:entry colname="col4">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">OBJECTID</oasis:entry>
         <oasis:entry colname="col2">OBJECTID</oasis:entry>
         <oasis:entry colname="col3">Object ID</oasis:entry>
         <oasis:entry colname="col4">Index number of windthrows</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">Windthrow ID</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">A windthrow ID</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Storm_ID</oasis:entry>
         <oasis:entry colname="col2">ID of storm event</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">ID of storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Storm_type</oasis:entry>
         <oasis:entry colname="col2">Type of storm</oasis:entry>
         <oasis:entry colname="col3">String, 10</oasis:entry>
         <oasis:entry colname="col4">Type of storm that caused the windthrow: convective windstorm, tornado, non-convective windstorm, or snowstorm</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Certainty</oasis:entry>
         <oasis:entry colname="col2">Event certainty degree</oasis:entry>
         <oasis:entry colname="col3">String, 20</oasis:entry>
         <oasis:entry colname="col4">The degree of certainty of storm type determination: high or medium</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Source_1</oasis:entry>
         <oasis:entry colname="col2">Data source for windthrow delineation</oasis:entry>
         <oasis:entry colname="col3">String, 50</oasis:entry>
         <oasis:entry colname="col4">Data source for windthrow delineation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Source_2</oasis:entry>
         <oasis:entry colname="col2">Data source for defining  <?xmltex \hack{\hfill\break}?>windthrow type</oasis:entry>
         <oasis:entry colname="col3">String, 100</oasis:entry>
         <oasis:entry colname="col4">Data source for defining windthrow type</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">Year</oasis:entry>
         <oasis:entry colname="col3">Short integer</oasis:entry>
         <oasis:entry colname="col4">The year of the windthrow event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Month</oasis:entry>
         <oasis:entry colname="col2">Month</oasis:entry>
         <oasis:entry colname="col3">Short integer</oasis:entry>
         <oasis:entry colname="col4">The month of the windthrow event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Date</oasis:entry>
         <oasis:entry colname="col2">Storm event date</oasis:entry>
         <oasis:entry colname="col3">String, 20</oasis:entry>
         <oasis:entry colname="col4">The date of storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Date_1</oasis:entry>
         <oasis:entry colname="col2">Date of first image</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4">The date of the last Landsat/Sentinel-2 image that lacks the windthrow</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Date_2</oasis:entry>
         <oasis:entry colname="col2">Date of second image</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4">The date of the first Landsat/Sentinel-2 image in which the windthrow was detected</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Time_range</oasis:entry>
         <oasis:entry colname="col2">Time range</oasis:entry>
         <oasis:entry colname="col3">String, 50</oasis:entry>
         <oasis:entry colname="col4">Time range of storm event (UTC)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Time_Src</oasis:entry>
         <oasis:entry colname="col2">Data source to determine storm time range</oasis:entry>
         <oasis:entry colname="col3">String, 255</oasis:entry>
         <oasis:entry colname="col4">Data source or URL that was used to determine the time range of a storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">N_polygons</oasis:entry>
         <oasis:entry colname="col2">Number of single-part polygons</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Number of single-part polygons</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Area</oasis:entry>
         <oasis:entry colname="col2">Area (km<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Windthrow area (km<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Length</oasis:entry>
         <oasis:entry colname="col2">Path length (km)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Length of windthrow (km)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean_width</oasis:entry>
         <oasis:entry colname="col2">Mean width of windthrow excluding<?xmltex \hack{\hfill\break}?>gaps (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Mean width of windthrow (m) – for damaged area only</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Max_width</oasis:entry>
         <oasis:entry colname="col2">Max width of windthrow excluding<?xmltex \hack{\hfill\break}?>gaps (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Maximum width of windthrow (m) – for damaged area only</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean_w_2</oasis:entry>
         <oasis:entry colname="col2">Mean width of windthrow with<?xmltex \hack{\hfill\break}?>gaps (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Mean width of windthrow including gaps (m)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Max_w_2</oasis:entry>
         <oasis:entry colname="col2">Max width of windthrow with gaps (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Maximum width of windthrow including gaps (m)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Direction</oasis:entry>
         <oasis:entry colname="col2">Direction of windthrow</oasis:entry>
         <oasis:entry colname="col3">String, 10</oasis:entry>
         <oasis:entry colname="col4">Elongated direction of windthrow, i.e., direction of storm movement</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Near_WS</oasis:entry>
         <oasis:entry colname="col2">WMO ID of the weather station</oasis:entry>
         <oasis:entry colname="col3">Long</oasis:entry>
         <oasis:entry colname="col4">WMO ID of the nearest weather station – if the distance between the windthrow and weather station is less than 50 km or the weather station is located on the storm track</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS_dist</oasis:entry>
         <oasis:entry colname="col2">Distance to weather station (km)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Distance to the nearest weather station (km)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wind_gust</oasis:entry>
         <oasis:entry colname="col2">Wind gust (m s<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>)</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Maximum wind gust that measured by the weather station on a day when windthrow occurred</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gust_time</oasis:entry>
         <oasis:entry colname="col2">Wind gust time (UTC)</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Time of wind gust report (UTC) with 3 h accuracy</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sum_prec</oasis:entry>
         <oasis:entry colname="col2">Precipitation amount</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Precipitation amount (only for events with heavy rainfall <inline-formula><mml:math id="M14" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 30 mm per 12 h)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS_comment</oasis:entry>
         <oasis:entry colname="col2">Additional data from weather station</oasis:entry>
         <oasis:entry colname="col3">String, 100</oasis:entry>
         <oasis:entry colname="col4">Additional data on the storm event reported by the weather station, i.e., heavy rainfall (<inline-formula><mml:math id="M15" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 30 mm per 12 h), large hail, tornado</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">URL</oasis:entry>
         <oasis:entry colname="col2">External URL</oasis:entry>
         <oasis:entry colname="col3">String, 100</oasis:entry>
         <oasis:entry colname="col4">URL of the additional data source (newspaper report or video)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Additional information on storm events</title>
      <p id="d1e977">Information of 3-hourly weather reports was used to determine storm event
dates and match the reported wind gusts, if any, with windthrow events. We
utilized information on observed wind speed, precipitation, and hail and
thunderstorm occurrence. The routine meteorological observations have been
collected at 402 meteorological stations located within the studied area and
have been initially processed at the All-Russian Research Institute of
Hydrometeorological Information – World Data Center (RIHMI-WDC) from 1966 to
the present (Bulygina et al., 2014). Monthly reviews of hazardous weather
events occurring in Russia, which are published in the Russian Meteorology
and Hydrology journal (<uri>http://mig-journal.ru/en/archive-eng</uri>, last access: 15 December 2020) but not translated, were also used to determine storm event dates for the 2001–2017 period. Additionally, these reviews contain the descriptions of hazardous weather events and damage reports. We included this information in our database. The RIHMI-WDC database of hazardous weather events (Shamin et al., 2019) and information from regional departments of the Russian state weather service were also utilized to determine the dates of several storms that caused windthrow events in 1986–2017. Media news and witness reports in social networks, including photos and videos, were used for obtaining additional information on the type of event, i.e., tornadic or non-tornadic, for the 1986–2017 period. Data from meteorological satellites Terra/Aqua MODIS (from 2001) and Meteosat-8 (from 2016) were used for obtaining additional information on storm events causing windthrows, especially for determining storm date and time. In particular, the Collection 6 MODIS Active Fire data (Giglio et al., 2016) were used to discriminate fire- and wind-related forest disturbances in 2001–2017. Data were downloaded from
<uri>https://earthdata.nasa.gov/data/near-real-time-data/firms</uri> (last access: 15 December 2020). Data from Russian weather radars (Dyaduchenko et al., 2014) were used only for several events occurring in 2012, 2014, and 2016 to determine the time of storm event causing windthrow.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Structure of the GIS database</title>
      <p id="d1e996">The compiled database of stand-replacing windthrow events in the forest zone
of ER in 1986–2017 is publicly available at
<ext-link xlink:href="https://doi.org/10.6084/m9.figshare.12073278.v6" ext-link-type="DOI">10.6084/m9.figshare.12073278.v6</ext-link> (Shikhov et al., 2020). We
divided the spatial and attributive information on windthrow events into
three hierarchical levels that correspond to three GIS layers, i.e., three
shapefiles (.shp), in the database:
<list list-type="bullet"><list-item>
      <p id="d1e1004">“elementary damaged area” (EDA), which is a single-part polygon of
wind-damaged forest;</p></list-item><list-item>
      <p id="d1e1008">“windthrow area”, which represents a group of closely spaced wind-damaged
areas, i.e., a multi-part polygon, associated with one storm event;</p></list-item><list-item>
      <p id="d1e1012">“storm event track”, which is a cluster of windthrow areas having a similar
direction and the same date (or same date range) of occurrence, which were
most likely induced by one convective or non-convective storm.</p></list-item></list>
GIS layers have the WGS84 geographic coordinate system (EPSG:4326). The key
fields <italic>ID</italic> and <italic>storm_ID</italic> associate each damaged area with the spatial features in the
datasets of windthrow and storm event tracks, respectively, using a one-to-many
relation. ID values of windthrow areas are set according to the date of
occurrence of storm events. Within 1 year, numbers are first set for
windthrow areas with known dates and then for ones with unknown dates. If
two or more windthrow areas are caused by one storm event, their numbers are
sequential according to storm movement direction. The numbering of EDAs is
organized according to the numbering of windthrow areas. EDAs related to one
windthrow area are numbered from the lower left corner, that is from
southwest to northeast. The structure of the attribute tables of each
shapefile (stored in .dbf files) is presented in Tables 1–3. The
determination process of the presented characteristics is described in
Section 4 and schematically presented in Fig. 2. Figure 3 shows an example
with all three hierarchical levels of the database.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1025">Attribute table of the GIS layer of storm events tracks.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Field name</oasis:entry>
         <oasis:entry colname="col2">Field alias</oasis:entry>
         <oasis:entry colname="col3">Type, length</oasis:entry>
         <oasis:entry colname="col4">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">OBJECTID</oasis:entry>
         <oasis:entry colname="col2">OBJECTID</oasis:entry>
         <oasis:entry colname="col3">Object ID</oasis:entry>
         <oasis:entry colname="col4">Index number of a storm track</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Storm_ID</oasis:entry>
         <oasis:entry colname="col2">ID of storm event</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">ID of a storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Count</oasis:entry>
         <oasis:entry colname="col2">Number of windthrows</oasis:entry>
         <oasis:entry colname="col3">Short</oasis:entry>
         <oasis:entry colname="col4">Number of windthrows caused by a storm event</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Area_tr</oasis:entry>
         <oasis:entry colname="col2">Area (km<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Total damaged area (km<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Length_tr</oasis:entry>
         <oasis:entry colname="col2">Path length (km)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Total path length with gaps (km)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean_w_tr</oasis:entry>
         <oasis:entry colname="col2">Mean width of storm track (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Mean width of storm track (km)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Max_w_tr</oasis:entry>
         <oasis:entry colname="col2">Max width of storm track (m)</oasis:entry>
         <oasis:entry colname="col3">Float</oasis:entry>
         <oasis:entry colname="col4">Maximum width of storm track (km)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1189">The workflow used for windthrow delineation and
attribution.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f02.png"/>

      </fig>

</sec>
<?pagebreak page3494?><sec id="Ch1.S4">
  <label>4</label><title>Methods: windthrow delineation and parameter determination</title>
      <p id="d1e1206">The process of windthrow identification and attribution to a particular type
includes four stages (Fig. 2): (1) delineation of a windthrow using the
Landsat-based global file system (GFS) and EEFCC products or time series of the Landsat or
Sentinel satellite images, (2) subsequent verification of a windthrow using
the HRIs and the determination of the type of storm event causing a windthrow,
(3) estimation of geometrical characteristics of a windthrow, and (4) determination of storm date or range of dates by utilizing additional
information. Most of the data collection stages were performed manually using
standard GIS tools except for the data extraction from the GFC and EEFCC
products and calculation of the geometrical characteristics of windthrow
areas (which were automated with the Python language). Due to several limitations
of the data sources and the use of expert knowledge at different stages of
the data collection workflow (Fig. 2), the compiled database is spatially
and temporally inhomogeneous and hence incomplete. In particular, the
database lacks small-scale forest disturbances with area below thresholds
(Fig. 2). The main data and method limitations are discussed in Sect. 6.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1211">An example of three hierarchical levels of the database
for the event occurring on 2 August 2017. A scheme for the determination of
geometrical parameters of a storm event is also shown. Parallel (680, 681)
and successive (684, 689, 682, 678) locations of windthrow areas are
indicated as well.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f03.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Delineation of windthrow areas</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>GFC-based delineation (2001–2017)</title>
      <p id="d1e1234">We systematically searched through the GFC dataset for forest loss areas
that have characteristic windthrow-like signatures. The search was performed
for each cell of a supplemental grid with a 50 km cell size that was built for ER. In particular, we looked for forest disturbances with the shape
stretched along the direction of storm or tornado movement. Wind-related
forest disturbances rarely have quasi-circular/elliptic or regular shapes
that are characteristic for fire-related disturbances and logged areas,
respectively (Shikhov and Chernokulsky, 2018, Shikhov et al., 2019b).
Windstorm- or snow- and/or ice-storm-caused windthrow areas have an amorphous spatial structure and a varying degree of forest damage, whereas tornado-induced windthrow areas have a quasi-linear spatial structure and almost total removal of the canopy (Chernokulsky and Shikhov, 2018). After selecting an area affected by a windthrow, we extracted respective pixels from the GFC data and converted them from raster to multi-part vector polygons, which consist of many single-part polygons, so-called elementary damaged areas (EDAs; Figs. 2, 3). We removed all EDAs with an area <inline-formula><mml:math id="M18" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1800 m<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, which equals the area of two GFC pixels. We filtered out such small-scale disturbances since it is virtually impossible to confirm their wind-related origin. Moreover, the area of a local windthrow can be almost 3 times overestimated by Landsat images (Koroleva and Ershov, 2012). We found that the absence of a minimum accepted area for EDAs will increase the area of windthrows by 2 %–3 % on average (up to 6 % for several windthrow areas with an amorphous spatial structure). However, the number of EDAs mistakenly referred to as windthrows can be substantially overestimated.</p>
      <p id="d1e1253">In total, we delineated 450 windthrow areas using the GFC dataset and
clarified contours of 126 of them manually using the Landsat, Sentinel-2, or the high-resolution images (see Sect. 4.2 for details).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1258">Delineation of <bold>(a, b)</bold> storm- and <bold>(c, d)</bold> tornado-induced
windthrows occurring on 4 July 1992 and 24 July 1988, respectively, based on
<bold>(a, c)</bold> the EEFCC dataset and <bold>(b, d)</bold> its subsequent verification by the
Landsat images shown in the RGB combination of the TM5 (1.65 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m), TM4
(0.85 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m), and TM3 (0.66 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) spectral bands.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>EEFCC-based delineation (1986–2000)</title>
      <p id="d1e1312">For the EEFCC data, we performed a similar process to the GFC searching and
delineation of windthrow areas with, however, some limitations. The main
limitation is related to the classification of forest losses into broad
periods, i.e., 1986–1988 and 1989–2000. Thereby, a windthrow area can be
correctly delineated only if it lacks an overlap with other forest
disturbances, namely logging and wildfires, occurring in the same period.
For instance, in highly populated areas, salvage logging is usually
performed in 1–2 years for most of the wind-damaged forests. Such windthrow
areas were delineated by the Landsat images with a semiautomated NDII-based (normalized difference infrared index) method (see Sect. 4.1.3). Based on the EEFCC, we were able to delineate
windthrow areas with high confidence mainly in the low-populated northern
part of ER (Fig. 4). To partially avoid missing windthrow areas,
using Landsat images, we performed additional verifications of all
large-scale forest loss areas (with areas more than 5 km<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) in
highly populated regions independently from their geometry since windthrow
areas can be totally masked out by logged areas. We were able to find three
large-scale windthrow areas (<inline-formula><mml:math id="M24" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 10 km<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) in these regions. However,
some windthrow events could still be missed.</p>
      <p id="d1e1340">In total, we delineated 153 windthrow areas using the EEFCC dataset.
Contours of 32 % of them were then substantially clarified manually
with the Landsat images obtained before and after the storm events. Another
22 windthrow areas that occurred before 2001 were delineated manually using
the Landsat images. As for the GFC data, we removed all EDAs with an area
<inline-formula><mml:math id="M26" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1800 m<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> since it is often impossible to confirm their
wind-related origin.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>NDII-based delineation (1987–2000)</title>
      <p id="d1e1367">We used Landsat TM/ETM<inline-formula><mml:math id="M28" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> images (Level 1T) obtained before and after the
storm event in the growing season to delineate seven large-scale windthrow
occurring before 2001. We used the difference of normalized difference
infrared index (NDII; Hardisky et al., 1983) to detect and delineate
wind-related disturbances. The high efficiency of the NDII-based<?pagebreak page3495?> windthrow
identification in Landsat images has been shown previously (Wang et al.,
2010; Wang and Xu, 2010; Chernokulsky and Shikhov, 2018). The NDII was
formulated as follows:
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M29" display="block"><mml:mrow><mml:mtext>NDII</mml:mtext><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mtext>TM4</mml:mtext><mml:mo>-</mml:mo><mml:mtext>TM5</mml:mtext><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mtext>TM4</mml:mtext><mml:mo>+</mml:mo><mml:mtext>TM5</mml:mtext><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where TM4 and TM5 are the reflectance in bands 4 (0.85 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) and 5
(1.65 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) of the Landsat TM/ETM<inline-formula><mml:math id="M32" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> data, while the difference was
calculate as <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII <inline-formula><mml:math id="M34" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NDII<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mtext>before</mml:mtext></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> NDII<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mtext>after</mml:mtext></mml:msub></mml:math></inline-formula>, in which
subscripts “before” and “after” denote two cloud-free
images closest to an event obtained, respectively, before and after the windthrow occurrence but in the growing season only.</p>
      <p id="d1e1475"><?xmltex \hack{\newpage}?>We applied no atmospheric correction algorithm for preprocessing Landsat
images since the NDII is based on the near-infrared (0.76–0.90 nm) and
middle-infrared (1.55–1.75 nm) spectral bands that are almost insensitive
to atmospheric impact. For the NDII-based delineation process, we used only
images with cloudiness less than 10 % based on the CFMask algorithm (Foga
et al., 2017). For other purposes (verification, type, and date
determination), we visually inspected Landsat images for a lack of clouds over
the area of interest (i.e., a windthrow area).</p>
      <p id="d1e1479">The masking of forested lands was performed on the “before” image with the
use of the iterative self-organizing data analysis technique algorithm's (Ball and
Hall, 1965)<?pagebreak page3496?> unsupervised classification. Then, the NDII was calculated only
within the mask of the forested area. The same technique was successfully
applied previously to delineate windthrow areas caused by the 1984 Ivanovo
tornado outbreak (Chernokulsky and Shikhov, 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1485">Delineation of windthrow caused by the windstorm that
occurred on 21 June 1998 in Moscow region based on the NDII difference
method: the Landsat-5 images obtained <bold>(a)</bold> before and <bold>(b)</bold> after the
storm event on 11 May and 30 July 1998, respectively, <bold>(c)</bold> the NDII
difference within forest-covered area, and <bold>(d)</bold> the areas with the substantial decrease in the NDII.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f05.png"/>

          </fig>

      <p id="d1e1506">Windthrow and other forest disturbances are characterized by a sharp
decrease in the NDII. However, threshold values of <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII for
distinguishing between stand-replacing disturbance and moderately damaged or
undamaged forests differ for each pair of images. We estimated threshold
value from the statistics of the <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII raster. Firstly, we obtained the
mean value and standard deviation of <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII within the entire
forest-covered area in the image. Stand-replacing forest disturbance inherently
has <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII values substantially higher than the image average. To
separate a stand-replacing forest disturbance from other forest-covered areas,
we used the threshold value of 2 standard deviations, which was previously
tested by Koroleva and Ershov (2012). However, in some cases the <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII distribution within the entire image was skewed (e.g., due to the
presence of cloud decks or haze in the post-event image). In such cases, we
lowered the threshold value of <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDII iteratively by comparing the
detected changes with results of visual identification of a windthrow in a
post-event image (using several examples located in different parts of a
windthrow). As a result, actual threshold values ranged from 1.5 to 2
standard deviations. Then, a binary raster of detected changes (i.e., forest
losses) was created (see Fig. 5d) and converted to a shapefile. At the
next step, windthrow areas were separated from logged areas and other
disturbances (see Sect. 3.2). The EDAs <inline-formula><mml:math id="M44" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1800 m<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were removed.
Figure 5 presents the example of the NDII-based identification of the
aftermath of the 21 June 1998 Moscow windstorm (Los Angeles Times, 1998).</p>
</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <label>4.1.4</label><title>Combining delineated polygons to windthrow areas and
windthrow areas to storm event tracks</title>
      <p id="d1e1576">In general, a group of closely spaced EDAs caused by one storm event was
assigned to one windthrow. By “close distance” we meant in most cases a
distance of tens or hundreds of meters between the nearest EDAs. This
distance is determined manually by the proportion of stand-replacing damage
and the presence of treeless areas. The maximum distance between the nearest EDAs
combined as one windthrow area may reach 10 km if a windthrow crossed
treeless areas.</p>
      <p id="d1e1579">Most of the windthrow areas were extracted from the GFC dataset (450), from the EEFCC
dataset (153), or with NDII-based methods (7). These windthrow areas
were first automatically delineated as multi-part polygons, and then we
specified the exact contours of their components – single-part polygons
(EDAs). After that, we correctly merged them to a windthrow itself (Fig. 2).
We delineated other 90 windthrow areas manually using the Landsat images,
Sentinel-2 images, or HRIs – 30, 17, and 43 windthrow areas, respectively.
In this case, we first delineated EDAs and then merged them into a
windthrow.</p>
      <p id="d1e1582">Many storms induced a series of successive windthrow areas, which are
separated from each other by tens or even hundreds of kilometers of
undamaged forests, treeless areas, or water bodies (Fig. 3). In general, we
divided the damaged areas into two separate windthrows (two records in the
dataset) if the gap between them exceeded 10 km. This threshold is based on
the study of Doswell and Burgess (1988), who proposed the 5–10 miles (8–16 km) threshold for the gap to discriminate between one skipping tornado and
two successive tornadoes. A few exceptions were associated with changes in
windthrow direction, with transformations of one windthrow type to another
identified by the HRIs, i.e., tornado-induced to non-tornado-induced, and
with an abrupt change in forest damage degree – from 60 %–80 % to 5 %–10 %
of stand-replacing disturbances. In these cases, the distance between two
distinct windthrow areas was less; for instance, the minimum distance was
about 1 km when a tornado-induced windthrow transformed to a squall-induced
one.</p>
      <p id="d1e1585">If several close windthrow areas have a similar direction, differ by no
more than 30<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and have the same date (or date range) of occurrence,
we assigned them to one storm event. We highlight successive and parallel
windthrow areas (Fig. 3). Successive windthrow areas induced by one storm
event follow downwind one after another and approximately fall on one
straight line (the angle of deviation from this line does not exceed
10–20<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). Such windthrows are presumably induced by one convective
cell generating a sequence of squalls or tornadoes. In contrast, parallel
windthrow areas<?pagebreak page3497?> that are located within one storm event are situated parallel to
each other (with an angle less than 30<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). They are presumably
associated with two or more different convective cells or mesocyclones
generating squalls or tornadoes often embedded into one mesoscale
convective system.</p>
      <p id="d1e1616">The expert-based process of windthrow areas combining to a storm event was
based as well on various additional information including the storm dates
and types (see next sections), information from weather station reports,
eyewitness and newspaper reports, data from meteorological satellites, and
so on. In total, the dataset of storm event tracks contains 486 items.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Verification of windthrow events and determination of their type</title>
      <p id="d1e1629">We verified each windthrow area in the database using pre- and post-event
Landsat/Sentinel-2 images, high-resolution images, and additional
information. This verification was performed to ensure that the forest
disturbance was caused by wind and to determine the type of storm that caused the
windthrow. In total, we verified 54 % of windthrow areas with the HRIs
mainly for the 2001–2015 period. Other events were verified using the
Landsat images (22 % of windthrow), the Sentinel-2 images (9 %), and
additional data sources like weather station and eyewitness reports
(15 %). As a result, the probability that any forest disturbance was
mistakenly referred to as a windthrow is minimal.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e1634">Separation of the windthrow occurring on 18 July 2012 from
logged areas based on <bold>(a)</bold> the GFC data on forest losses and the Landsat
images obtained <bold>(b)</bold> before (i.e., 8 July 2012) and <bold>(c)</bold> after (i.e., 18 August 2012) the storm event.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f06.png"/>

        </fig>

      <p id="d1e1652">In addition, we used the last cloud-free Landsat or Sentinel-2 image
obtained before a storm and the first image obtained after it to separate
windthrow areas from other disturbances, mainly from logged areas. We removed
forest disturbances that were not related to a storm event (Fig. 6). During
the verification, we also found and delineated several storm-damaged areas
that were missed in the GFC/EEFCC data. Such areas are located mainly in
small-leaved or broadleaved forests. After the verification, we determined
the type of windthrow depending on the weather phenomenon inducing this
windthrow. We selected tornado-induced and non-tornado-induced windthrow
areas; the latter were subdivided into those induced by convective and those by
non-convective storms. In turn, non-convective storms include also
snowstorms, which are indicated in the database but not analyzed separately
further in the paper. By convective storms we mean squalls and downbursts;
however, this more detailed division is lacking in the database.</p>
      <p id="d1e1656">To distinguish tornado-induced windthrow areas from other wind-related
disturbances, we determined the direction of fallen trees using the HRIs.
Indeed, the main signature of<?pagebreak page3498?> tornado-induced windthrow is the
counterclockwise, or infrequently clockwise, rotation of the fallen trees
(Beck and Dotzek, 2010; Shikhov and Chernokulsky, 2018). With the lack of
HRIs, we considered three additional signatures of a tornado-induced windthrow, namely (1) a quasi-linear structure of a windthrow with a ratio of length and width <inline-formula><mml:math id="M49" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 10 : 1, (2) a gradual turn of a storm track, and (3) a predominant total removal of forest stands (Shikhov and Chernokulsky,
2018; Shikhov et al., 2019b). Note that the ratio of length and width of a
tornado track <inline-formula><mml:math id="M50" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 10 : 1 is also typical for the United States (Schaefer and Edwards, 1999). Based on these three signatures and additional information from weather station reports, witness reports, photos, and videos, we assigned the high or medium degree of certainty of storm type determination for each windthrow (Table 4).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e1676">The signatures used to assess the degree of certainty of
windthrow type determination.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="2cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="4.5cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="4.5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="4.5cm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Degree of</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center">Windthrow induced by </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">certainty</oasis:entry>
         <oasis:entry colname="col2">Tornado</oasis:entry>
         <oasis:entry colname="col3">Convective storm</oasis:entry>
         <oasis:entry colname="col4">Non-convective storm</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">High (<inline-formula><mml:math id="M51" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 95 %<?xmltex \hack{\hfill\break}?>likelihood of<?xmltex \hack{\hfill\break}?>occurrence)</oasis:entry>
         <oasis:entry colname="col2">Independent confirmation of the<?xmltex \hack{\hfill\break}?>tornado event (photo, video, etc.); <?xmltex \hack{\hfill\break}?>well-detected rotation of the fallen trees (counterclockwise usually); <?xmltex \hack{\hfill\break}?>all three additional signatures are confirmed (with the lack of HRIs).</oasis:entry>
         <oasis:entry colname="col3">Elongated but amorphous (mosaic) spatial structure of forest disturbances and a varying degree of forest damage; the direction of the fallen trees generally corresponds to a storm track direction.</oasis:entry>
         <oasis:entry colname="col4">Independent confirmation of<?xmltex \hack{\hfill\break}?>non-convective storm causing<?xmltex \hack{\hfill\break}?>windthrow by weather station<?xmltex \hack{\hfill\break}?>and/or eyewitness/newspaper<?xmltex \hack{\hfill\break}?>report.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Medium (50 %–95 % likelihood)</oasis:entry>
         <oasis:entry colname="col2">The HRIs are unavailable or do not allow us to determine the direction of the fallen trees, and only two out of three additional signature are confirmed. <?xmltex \hack{\hfill\break}?></oasis:entry>
         <oasis:entry colname="col3">HRIs are unavailable or do not allow us to determine the direction of the fallen trees; quasi-linear structure of a windthrow without turns of a track and a ratio of length and width <inline-formula><mml:math id="M52" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 : 1. <?xmltex \hack{\hfill\break}?></oasis:entry>
         <oasis:entry colname="col4">The date of a storm event indicates a low probability of a convective storm (e.g., autumn season) and lack of elongation along the wind direction (especially for windthrow induced by snowstorms).</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1787">Windthrow areas, caused by non-convective windstorms or snowstorms, have specific geometrical features as well that are seen in satellite images.
Specifically, windthrow areas related to non-convective windstorms typically
have a damage track with an enormous length and width, up to 200 and 45 km,
respectively, with, however, a slight or moderate degree of forest damage.
Stand-replacing disturbances caused by non-convective windstorms usually
occur in dark coniferous forests only (Dobbertin, 2002; Schmoeckel and Kottmeier, 2008). Since non-convective storms affect large areas and last for relatively long period, they are typically<?pagebreak page3499?> well-reported by weather stations, which simplify the attribution of related windthrow. In its turn, snowstorm-induced windthrow areas are distinguishable from other disturbances
primarily based on the dates of occurrence: they happen usually in autumn; although – one severe snowstorm occurred in early summer. It is of note that we found none of the snowstorm-induced stand-replacing windthrows happening in winter.</p>
      <p id="d1e1790">After determining a storm event type, we excluded from the database
tornado-induced windthrows with an area <inline-formula><mml:math id="M53" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.05 km<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and other
windthrows with an area <inline-formula><mml:math id="M55" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.25 km<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. We took into account the
following reasons during the exclusion of such small-scale windthrow areas:
<list list-type="order"><list-item>
      <p id="d1e1827">the difficulty to prove that these disturbances were actually caused by wind,
especially with the lack of HRIs;</p></list-item><list-item>
      <p id="d1e1831">the difficulty to determine storm event dates with the Landsat images for these
windthrow areas;</p></list-item><list-item>
      <p id="d1e1835">the high uncertainty of estimated geometrical characteristics of small-scale
windthrows (Koroleva and Ershov, 2012; Shikhov and Chernokulsky, 2018).</p></list-item></list></p>
      <?pagebreak page3500?><p id="d1e1838"><?xmltex \hack{\newpage}?>Only five squall-induced windthrows with an area <inline-formula><mml:math id="M57" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.25 km<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were stored in the database since they are associated with severe weather
outbreaks with proven dates. It is of note that a typical tornado-induced
windthrow consists of a relatively small number of EDAs with a total removal of
forest stands that are well-detected by the Landsat images. In its turn, a
typical, non-tornado-induced windthrow includes a larger number of small-scale
(i.e., 2–4 Landsat pixels) areas of stand-replacing disturbances that are
poorly detected by satellite images. This difference results in the necessity
of using two distinct thresholds for tornado- and non-tornado-induced
windthrow areas.</p>
      <p id="d1e1859">The threshold values used in Sect. 4.1–4.2 have some subjectivity, and
their modification may substantially change the number of allocated
windthrow areas in the dataset. The optimization of the above-described
threshold values can be evaluated in further studies that should involve
ground-based data.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Estimation of geometrical parameters of windthrow areas and storm tracks and its accuracy</title>
      <p id="d1e1870">We used the Landsat data and the Landsat-based products GFC and EEFCC to
estimate geometrical parameters of windthrow areas. We determined the path
length (<inline-formula><mml:math id="M59" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>), mean and maximum widths (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and damaged
area (<inline-formula><mml:math id="M62" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>) for each windthrow using the technique that had been successfully
implemented for tornado-induced windthrow areas (Shikhov and Chernokulsky,
2018). The calculation of these parameters was performed in the Lambert
equal area and equidistant projection for North Asia to avoid possible
projection-related distortions.</p>
      <p id="d1e1909">We calculated <inline-formula><mml:math id="M63" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> in the ArcGIS 10.4 as the sum of the area of forest damaged plots
which are attributed to one windthrow. We determined <inline-formula><mml:math id="M64" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> as a length of the
central line drawn through a damaged area, i.e., the distance between the two
farthest points of a windthrow. The central line was created automatically
(using a Python tool) as the distance between the two farthest points of a
windthrow. It is insensitive to the allocation of patches to windthrow area.</p>
      <p id="d1e1926">We calculated <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as the mean length of several transects that are
perpendicular to a storm track with a 200 m step; this step had been found
optimal in terms of quality and counting efficiency (Shikhov and
Chernokulsky, 2018). Only stand-replacing windthrow areas were taken into
account in this calculation. In comparison to Shikhov and Chernokulsky (2018), in which <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was calculated manually using the HRI data, in this
study, we assigned the length of the largest transect to <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> because of
the lack of HRIs for many windthrow areas.</p>
      <p id="d1e1962">In addition to windthrow characteristics, we estimated geometric
characteristics of EDAs and those of storm tracks. In particular for EDAs,
we calculated their area <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. For storm tracks, we estimated maximum
and mean width (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmax</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), path length (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mtext>TR</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and
damaged area (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>TR</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. We calculated <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> based on the same
transects that were used to calculate <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> but without excluding
undamaged forests and treeless areas. Similarly, the length of the largest
transect that includes undamaged forests and treeless areas was assigned to
<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmax</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 7). If a track consists of two (or more) parallel windthrow
areas, then its width was calculated within the outermost boundaries of
these windthrow areas (Fig. 3). The same calculation was performed for
<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mtext>TR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the case of two (or more) subsequent windthrow areas (Fig. 3). Thus,
the 10 km threshold used (see Sect. 4.1.4) may influence geometrical
characteristics of a single windthrow area but do not affect those of a storm
event.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e2072">A scheme for the determination of the geometrical parameters
of a windthrow based on the Landsat image using the example of the
windthrow in the Moscow region occurring on 21 June 1998.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e2083">Overlapping of windthrow areas extracted from the GFC
dataset and delineated manually using the HRIs for <bold>(a)</bold> a convective-storm-induced windthrow (18 July 2012) and <bold>(b)</bold> a tornado-induced windthrow (June 2011).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f08.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e2101">Comparison of windthrow geometrical parameters estimated
using the GFC and HRI data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <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:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Total area</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M77" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> (overlapped)</oasis:entry>
         <oasis:entry colname="col4">Producer's</oasis:entry>
         <oasis:entry colname="col5">User's</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M78" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> (km)</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Number</oasis:entry>
         <oasis:entry colname="col2">(GFC/HRI) (km<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">accuracy (%)</oasis:entry>
         <oasis:entry colname="col5">accuracy (%)</oasis:entry>
         <oasis:entry colname="col6">(GFC/HRI)</oasis:entry>
         <oasis:entry colname="col7">(GFC/HRI)</oasis:entry>
         <oasis:entry colname="col8">(GFC/HRI)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">6.08/6.49</oasis:entry>
         <oasis:entry colname="col3">5.04</oasis:entry>
         <oasis:entry colname="col4">77.6</oasis:entry>
         <oasis:entry colname="col5">82.8</oasis:entry>
         <oasis:entry colname="col6">9.4/9.4</oasis:entry>
         <oasis:entry colname="col7">588/612</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">4.36/5.11</oasis:entry>
         <oasis:entry colname="col3">2.98</oasis:entry>
         <oasis:entry colname="col4">58.5</oasis:entry>
         <oasis:entry colname="col5">68.5</oasis:entry>
         <oasis:entry colname="col6">15.9/17.2</oasis:entry>
         <oasis:entry colname="col7">290/405</oasis:entry>
         <oasis:entry colname="col8">860/1798</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">1.74/1.54</oasis:entry>
         <oasis:entry colname="col3">0.75</oasis:entry>
         <oasis:entry colname="col4">48.7</oasis:entry>
         <oasis:entry colname="col5">43.2</oasis:entry>
         <oasis:entry colname="col6">42.5/42.5</oasis:entry>
         <oasis:entry colname="col7">104/87</oasis:entry>
         <oasis:entry colname="col8">542/390</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">1.55/1.31</oasis:entry>
         <oasis:entry colname="col3">0.79</oasis:entry>
         <oasis:entry colname="col4">60.3</oasis:entry>
         <oasis:entry colname="col5">51.3</oasis:entry>
         <oasis:entry colname="col6">9.0/9.1</oasis:entry>
         <oasis:entry colname="col7">178/152</oasis:entry>
         <oasis:entry colname="col8">681/593</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">1.33/0.92</oasis:entry>
         <oasis:entry colname="col3">0.71</oasis:entry>
         <oasis:entry colname="col4">77.0</oasis:entry>
         <oasis:entry colname="col5">53.6</oasis:entry>
         <oasis:entry colname="col6">6.7/6.8</oasis:entry>
         <oasis:entry colname="col7">220/145</oasis:entry>
         <oasis:entry colname="col8">638/510</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">1.00/0.76</oasis:entry>
         <oasis:entry colname="col3">0.41</oasis:entry>
         <oasis:entry colname="col4">53.9</oasis:entry>
         <oasis:entry colname="col5">41.1</oasis:entry>
         <oasis:entry colname="col6">21.8/21.8</oasis:entry>
         <oasis:entry colname="col7">86/70</oasis:entry>
         <oasis:entry colname="col8">343/250</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">0.88/0.76</oasis:entry>
         <oasis:entry colname="col3">0.41</oasis:entry>
         <oasis:entry colname="col4">53.9</oasis:entry>
         <oasis:entry colname="col5">46.6</oasis:entry>
         <oasis:entry colname="col6">14.6/14.7</oasis:entry>
         <oasis:entry colname="col7">112/97</oasis:entry>
         <oasis:entry colname="col8">458/382</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">0.42/0.32</oasis:entry>
         <oasis:entry colname="col3">0.19</oasis:entry>
         <oasis:entry colname="col4">59.7</oasis:entry>
         <oasis:entry colname="col5">44.5</oasis:entry>
         <oasis:entry colname="col6">7.4/7.2</oasis:entry>
         <oasis:entry colname="col7">85/53</oasis:entry>
         <oasis:entry colname="col8">233/179</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">0.27/0.14</oasis:entry>
         <oasis:entry colname="col3">0.11</oasis:entry>
         <oasis:entry colname="col4">77.2</oasis:entry>
         <oasis:entry colname="col5">41.7</oasis:entry>
         <oasis:entry colname="col6">2.1/2.1</oasis:entry>
         <oasis:entry colname="col7">136/79</oasis:entry>
         <oasis:entry colname="col8">306/264</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">0.26/0.25</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">61.4</oasis:entry>
         <oasis:entry colname="col5">60.0</oasis:entry>
         <oasis:entry colname="col6">9.4/9.4</oasis:entry>
         <oasis:entry colname="col7">86/59</oasis:entry>
         <oasis:entry colname="col8">188/206</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2517">We assessed the accuracy of GFC-based estimates of windthrow geometrical
parameters by comparing them with the same parameters calculated manually
with the use of HRIs. We performed just such a procedure for 10 windthrow areas
caused by squalls, whose areas range from 0.26 to 6.09 km<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Table 5).
The distribution of their <inline-formula><mml:math id="M84" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is close to the one for the full dataset.</p>
      <p id="d1e2536">We delineated manually all EDAs within these 10 windthrow areas using the
HRIs. In total, we found 837 and 947 EDAs according to the GFC and the HRI
data, respectively. Owing to the relatively correct georeference of the Landsat
data (USGS, 2019), we found no systematic spatial bias
between contours of GFC-based and HRI-based windthrow areas. Despite their
general matching, there is no complete overlap due to the different spatial
resolutions of<?pagebreak page3501?> the GFS and HRIs (Fig. 8). For example, one GFC-based EDA may
intersect with several HRI-based ones, and vice versa. We found that only
66.5 % of the total area is attributed to windthrow in both GFC and HRIs,
while EDAs with a small area can be missed. In particular, 263 HRI-based EDAs
with the total area of 0.97 km<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were completely missed in the GFC,
while 146 GFC-based EDAs with the total area of 0.52 km<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were missed in
the HRIs. For overlapped EDAs, we found that the mean absolute error and root mean
square error of <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates amounted to 27.6 % and 13.1 %,
respectively. We found that the relative error decreases for large EDAs and
for those having a simple shape, i.e., quasi-circular. The user's and
producer's accuracies increase from 20 %–25 % for EDAs with <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> to 70 %–75 % for EDAs with <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. In general, for the overlapped EDAs, the GFC overestimates
their <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (by 4 % on average) primarily in coniferous forests. The mutual effect of more frequent omissions of small EDAs in the GFC compared to the HRIs
and overestimation of overlapped EDAs results in the approximate equality in the
total area of delineated windthrows, 17.11 and 17.13 km<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, based on the GFC and HRIs, respectively.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e2641">Comparison of windthrow geometrical parameters estimated
using the EEFCC and HRI data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <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:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M94" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> (km<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M96" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> (overlapped)</oasis:entry>
         <oasis:entry colname="col4">Producer's</oasis:entry>
         <oasis:entry colname="col5">User's</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M97" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> (km)</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Number</oasis:entry>
         <oasis:entry colname="col2">(EEFCC/HRI),</oasis:entry>
         <oasis:entry colname="col3">(km<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">accuracy (%)</oasis:entry>
         <oasis:entry colname="col5">accuracy (%)</oasis:entry>
         <oasis:entry colname="col6">(EEFCC/HRI)</oasis:entry>
         <oasis:entry colname="col7">(EEFCC/HRI)</oasis:entry>
         <oasis:entry colname="col8">(EEFCC/HRI)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">3.11/4.18</oasis:entry>
         <oasis:entry colname="col3">2.58</oasis:entry>
         <oasis:entry colname="col4">82.96</oasis:entry>
         <oasis:entry colname="col5">61.72</oasis:entry>
         <oasis:entry colname="col6">14.6/14.2</oasis:entry>
         <oasis:entry colname="col7">308/257</oasis:entry>
         <oasis:entry colname="col8">963/748</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">1.59/2.35</oasis:entry>
         <oasis:entry colname="col3">1.25</oasis:entry>
         <oasis:entry colname="col4">78.62</oasis:entry>
         <oasis:entry colname="col5">53.19</oasis:entry>
         <oasis:entry colname="col6">16.8/16.9</oasis:entry>
         <oasis:entry colname="col7">186/148</oasis:entry>
         <oasis:entry colname="col8">568/491</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">3.48/3.82</oasis:entry>
         <oasis:entry colname="col3">2.68</oasis:entry>
         <oasis:entry colname="col4">77.01</oasis:entry>
         <oasis:entry colname="col5">70.16</oasis:entry>
         <oasis:entry colname="col6">14.2/14.9</oasis:entry>
         <oasis:entry colname="col7">305/288</oasis:entry>
         <oasis:entry colname="col8">1507/1269</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">0.82/1.11</oasis:entry>
         <oasis:entry colname="col3">0.67</oasis:entry>
         <oasis:entry colname="col4">81.71</oasis:entry>
         <oasis:entry colname="col5">60.36</oasis:entry>
         <oasis:entry colname="col6">10.3/10.4</oasis:entry>
         <oasis:entry colname="col7">166/158</oasis:entry>
         <oasis:entry colname="col8">367/332</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">1.09/1.28</oasis:entry>
         <oasis:entry colname="col3">0.94</oasis:entry>
         <oasis:entry colname="col4">86.24</oasis:entry>
         <oasis:entry colname="col5">73.44</oasis:entry>
         <oasis:entry colname="col6">9.5/10.1</oasis:entry>
         <oasis:entry colname="col7">171/161</oasis:entry>
         <oasis:entry colname="col8">380/291</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page3502?><p id="d1e2928">For the entire windthrow area, we calculated the accuracy of their
geometrical characteristic estimates as well. In particular, we calculated the
user's and producer's accuracies of the GFC-based delineation for each of 10 selected windthrows. These accuracies are mainly determined by the
complexity of windthrow shapes and composition. In particular, the accuracy
is higher for a windthrow consisting of a relatively small number of
simple-shape EDAs. Otherwise, the accuracy decreases down to 50 % for a
windthrow having very amorphous spatial structure. In our sample, the GFC
data tends to overestimate the area of a windthrow – 8 cases out of 10
were overestimated. The mean absolute percent error (MAPE) for <inline-formula><mml:math id="M101" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is 14.6 %.
The major overestimation of <inline-formula><mml:math id="M102" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> by the GFC data, as well as <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, was revealed for relatively small windthrow areas. This is in line
with the previous findings by Koroleva and Ershov (2012). They showed that
the reliable estimate (with 15 % accuracy) of the damaged area using the
Landsat images is possible only for windthrow areas exceeding 0.026 km<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. It is of note that for tornado-induced windthrow areas, Shikhov
and Chernokulsky (2018) found that the GFC data generally tend to
underestimate <inline-formula><mml:math id="M106" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, with MAPE amounting for 17.9 %.</p>
      <p id="d1e2984">The assessment of geometrical parameters of windthrow areas appearing before
2000 and being found by the EEFCC is challenging due to the low availability of
the HRIs or other independent data sources, e.g., the data of forestry
services. Windthrow areas induced by storm events that occurred <inline-formula><mml:math id="M107" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 20 years ago can be delineated by the HRIs only if a storm passed through
old-growth forests that have not been affected by other disturbances, i.e.,
timber harvesting or wildfires, in subsequent years. Such forests are
widespread only in the northeastern part of ER (Pakhuchiy, 1997). We
found five EEFCC-based windthrows occurring between 1998 and 2000 that were
most well-detected by the HRIs: four tornado-induced and one
storm–induced windthrow. We delineated them with the EEFCC and HRI and
compared their characteristics (Table 6). We found a general overestimation of
<inline-formula><mml:math id="M108" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the EEFCC that was larger than in the GFC. It may
be related to the inclusion into a windthrow of not only the real wind-damaged area
but also the surrounding pixels where trees died after a storm event mostly
because of bark beetles (Köster et al., 2009). The intensity of this
mortality is highest during the second year after a storm event (Köster et
al., 2009).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Determination of windthrow dates</title>
      <p id="d1e3031">We aimed to establish the exact date or even the exact time for each
windthrow appearance. However, due to data constraints, dates of some
windthrow events were determined with 6 months accuracy. We iteratively
refined a date, or a date range, by using different data. The process, related
to the determination of the date of a tornado-induced windthrow only, was
described previously in Shikhov and Chernokulsky (2018).</p>
      <p id="d1e3034">First, the year of a windthrow can be obtained directly from the Landsat
products but with some limitations. In the GFC, forest disturbances are
accompanied by information on the year of the event's occurrence. However, the
exact year is determined correctly only for 75.2 % of forest loss pixels;
for 24.8 % of them, the date can be either 1–2 years earlier or later
(Hansen et al., 2013). In the EEFCC, a year of windthrow occurrence is not
explicitly determined and came within the ranges of 1986–1988 and 1989–2000.</p>
      <p id="d1e3037">Next, we refined a range of dates based on all available images from the
Landsat and Sentinel-2 satellites. The accuracy of such refinements depends
on the frequency of observations and cloudiness. The availability of cloudless Landsat images varied from year to year. The lowest number of cloud-free images (2–4 images a year on average) is available for 2003–2006 and 2012, when only Landsat-7 data after scan line corrector failure are available (Potapov et al., 2015). Hence, the worse accuracy of windthrow date determination is typical for these years. On average, 8–10 images per year can be used for windthrow date determination. Due to the launch of the Sentinel-2A satellite, the number of images per year had an abrupt increase after the summer of 2016. We used images taken throughout the year. Despite the frequency of cloudless images in autumn and winter being lower than in the summer season, it was sufficient for analysis. Thus, wintertime images (of land covered with snow) were successfully used for windthrow identification, especially if a storm occurred at the end of the summer season, and the autumn season lacked cloud-free images.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e3044">Total number of windthrow events of different types and
corresponding damaged forested areas.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Windthrow type</oasis:entry>
         <oasis:entry colname="col2">Degree of certainty</oasis:entry>
         <oasis:entry colname="col3">Number of windthrows</oasis:entry>
         <oasis:entry colname="col4">Damaged area (km<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Convective storm-induced</oasis:entry>
         <oasis:entry colname="col2">High</oasis:entry>
         <oasis:entry colname="col3">270</oasis:entry>
         <oasis:entry colname="col4">2371.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Medium</oasis:entry>
         <oasis:entry colname="col3">25</oasis:entry>
         <oasis:entry colname="col4">7.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tornado-induced</oasis:entry>
         <oasis:entry colname="col2">High</oasis:entry>
         <oasis:entry colname="col3">295</oasis:entry>
         <oasis:entry colname="col4">300.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Medium</oasis:entry>
         <oasis:entry colname="col3">92</oasis:entry>
         <oasis:entry colname="col4">79.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Non-convective-storm-induced</oasis:entry>
         <oasis:entry colname="col2">High</oasis:entry>
         <oasis:entry colname="col3">12</oasis:entry>
         <oasis:entry colname="col4">131.8</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Medium</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">5.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total</oasis:entry>
         <oasis:entry colname="col2">High</oasis:entry>
         <oasis:entry colname="col3">577</oasis:entry>
         <oasis:entry colname="col4">2803.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Medium</oasis:entry>
         <oasis:entry colname="col3">123</oasis:entry>
         <oasis:entry colname="col4">92.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3210">Further, given the satellite-derived range of possible event dates, we made
the subsequent analysis using additional data, such as weather station
observations, various databases and reviews on hazardous weather events,
damage reports, photos and videos in the media and social networks, and
reanalysis data (see Shikhov and Chernokulsky, 2018, for details). This
analysis allowed us to establish the exact dates for 48.4 % of all windthrow
events, including 39.2 % and 59.7 % of tornado- and non-tornado-induced
windthrow events, respectively.</p>
      <p id="d1e3213">The dates of storm-induced windthrow events were defined more successfully
than those for tornado-induced ones due to the local nature of convective
storms, especially of tornadoes, and the relatively large distance between
Russian weather stations. Specifically, the average and median distance
between the nearest weather stations within the study<?pagebreak page3503?> area amounted to 53.7 and 49.9 km, respectively. Consequently, many storm events were reported by weather stations located on a storm path at a distance of 50–100 km from a
windthrow, while the closest stations did not report strong wind gusts
since they were away from the storm path. In total, we matched storm reports
of weather stations, namely reports with wind gusts ranging from 15 to 34 m s<inline-formula><mml:math id="M112" 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>, with only 34.5 % of windthrow events with known dates.</p>
      <p id="d1e3228">Another reason for the more successful determination of dates of appearance for large-scale windthrow areas than for small-scale ones, e.g., tornado-induced, is an increase in the probability that a corresponding storm
passes through a settlement(s) and is covered in the media. In total, we used media reports, information from regional weather services, witness photos and videos, and existing scientific literature (e.g., Dmitrieva and Peskov, 2013; Petukhov and Nemchinova, 2014; Shikhov and Chernokulsky, 2018; Shikhov et al., 2019a) to specify the date and time of 29.7 % of windthrow events.</p>
      <p id="d1e3231">Dates and times of some cases (7.8 % of all cases) were established using
images from the meteorological satellites Terra/Aqua MODIS and METEOSAT-8 and
Russian weather radar data (Dyaduchenko et al., 2014). However, the routine
usage of these data is time-consuming and limited due to some access
restrictions. The subsequent clarification of the exact time of windthrows can be carried out in further studies.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Results and discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Windthrow type</title>
      <p id="d1e3251">The compiled database includes three shapefiles (.shp) corresponding to
three hierarchical levels such as elementary damaged areas, windthrow, and
storm events. The database includes 102 747, 700, and 486 objects for each
level, respectively. The total area of the spatial features is equal to 2966.1 km<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. It is of note that we cannot determine whether the trees were
felled or broken by the wind based on satellite images that even have very
high resolution. Therefore, we use the single term “windthrow” for all types
of wind-induced forest damage.</p>
      <p id="d1e3263">The overwhelming majority of stand-replacing windthrows found in ER, namely
97.4 % of the events and 95.3 % of wind-damaged area, are associated
with convective storms and tornadoes (Table 7). More than half of all
windthrow events are tornado-induced with, however, a relatively small damaged
area (less than 13 % of the total wind-damaged area). Non-convective
storms and snowstorms are responsible for less than 5 % of the area of
stand-replacing windthrow in ER. This is somewhat in contrast to Western and
Central Europe where most forest damage is induced by non-convective
wind events, namely winter storms, caused by strong extratropical cyclones
(Gardiner et al., 2010; Gregow et al., 2017). Indeed, winter windstorms
affect Eastern Europe less compared to Western and Central Europe (Haylock,
2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3268">Number of windthrows per one storm event. The total damaged
area (in km<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) corresponding to all types of windthrows
is shown in the box for each category.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e3289">Spatial distribution of stand-replacing windthrows in ER in 1986–2017. The 10 most catastrophic windthrows with the largest
damaged area are shown by arrows and indicated by the corresponding dates of the windthrow. Forest-covered area is estimated according to the data from
Bartalev et al. (2016). The inset shows the direction from which the windthrow
originated.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f10.png"/>

        </fig>

      <?pagebreak page3504?><p id="d1e3298">Among 486 storm events that caused windthrow, 381 yielded only one windthrow
area (Fig. 9), primarily tornado-induced. The rest of the 105 storms resulted in a smaller number of windthrow events (319) but larger damaged area – 2276.6 km<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, namely 76.8 % of all damaged area. Most of these storms induced two or three successive or parallely located windthrow areas, and only 14 storms caused 5 or more windthrow events. We found a maximum of 17 separate windthrow areas that related to one storm. We found 71 storm events resulting in two or more successive windthrow areas, while 12 storm events led to the formation of two or more parallel windthrow areas, and 22 storm events include a family of both parallel and successive ones (Fig. 3). The maximum distances between the two nearest successive and two parallel windthrow areas amount to 150 and 26 km, respectively.</p>
      <p id="d1e3310">It should be noted that a single storm may cause both tornado- and
non-tornado-induced windthrow, e.g., a supercell can lead to the formation of a
tornado and a rear-flank downdraft (Karstens et al., 2013), both causing
forest damage. In total, we found 30 storms that resulted in the formation of
two types of windthrow.</p>
      <p id="d1e3313">We managed to match several storm events with storm reports at weather
stations; in particular, the database contains 89 such cases. Among these 89
station reports, we found eight reports with wind gusts <inline-formula><mml:math id="M116" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 30 m s<inline-formula><mml:math id="M117" 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>, 14
reports with wind gusts 25–29 m s<inline-formula><mml:math id="M118" 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>, and 30 reports with wind gusts 20–24 m s<inline-formula><mml:math id="M119" 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>.
This information has been included in the database and can be used in
further studies to estimate the critical wind speed causing windthrow and to
analyze the role of other accompanying weather phenomena, e.g., with snow,
heavy rainfall, large hail, etc.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e3361">Ratio of damaged area to the forest-covered area for <bold>(a)</bold>
all windthrow and <bold>(b)</bold> tornado-induced windthrow only. The ratio of
windthrow area to the forest-covered area was calculated for a 100 km<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
cell and then interpolated with the local polynomial interpolation method from ArcGis Geostatistical Analyst.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Spatial distribution of windthrow areas</title>
      <p id="d1e3393">Windthrow events occur in the entire forest zone of ER (Fig. 10).
However, the highest density is observed near 60<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and
somewhat coincides with the highest percentage of forest-covered area (see
Fig. 1). It is of note that two windthrow areas are located north of
66<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and one of them is even north of the Arctic Circle. The
dominant direction of both tornado-induced and other windthrows is SW–NE
(Fig. 15b), which is in line with previous studies on tornado<?pagebreak page3505?> climatology
in northern Eurasia (Shikhov and Chernokulsky, 2018; Chernokulsky et al.,
2020).</p>
      <p id="d1e3414">Three regions where windthrows have affected more than 0.75 % of forests
can be highlighted (Fig. 11a). Two of them are related to the catastrophic
storms which occurred on 27 June and 29 July 2010. In total, these two
storms have damaged 1140 km<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of forests, which is 38.4 % of the total area of stand-replacing windthrow in ER in 1986–2017. The third area is located on the western slope of the northern Urals and coincides with the
largest extent of dark coniferous forests in ER (Pakhuchiy, 1997). The
most important windthrow events occurred here in June 1993, July 2012, and
October 2016. The latter was induced by a snowstorm. The relatively high
frequency of windthrow in this region was emphasized previously (Lassig and
Mocalov, 2000; Shikhov and Chernokulsky, 2018; Shikhov et al., 2019b). It was
hypothesized that it may be related to the combination of several factors,
namely widespread old-growth forests, a high annual precipitation rate (up
to 1000 mm yr<inline-formula><mml:math id="M124" 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>), and large soil wetness, which all contribute to the
forest's wind susceptibility (Dobbertin, 2002).</p>
      <p id="d1e3438">The highest density of tornado-induced windthrows is found between
59 and 62<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 48 and 56<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (Fig. 11b), which is in good agreement with previous estimates (Shikhov and Chernokulsky, 2018). However, the ratio of the tornado-damaged area to the total forested area is higher in the western part of ER (Fig. 11b). It is of note that higher values of so-called convective instability indices are also observed in this region (Taszarek et al., 2018).</p>
      <p id="d1e3459">The species composition and age of forest stands have substantial influence
on the spatial distribution of windthrow (Dobbertin, 2002, Suvanto et al.,
2016; Gregow et al., 2017). Using the presented dataset, estimates of the
relationship between windthrow area and forest stands characteristics can be
carried out in future studies at a regional scale.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Temporal variability in windthrow and storm events</title>
      <p id="d1e3470">We successfully determined the year of occurrence for all windthrow events
and the month of occurrence for 263 (67.9 %) tornado-induced and 224
(71.5 %) non-tornado-induced windthrow events. We established the dates of
occurrence for 339 windthrow events, including 149 (39.2 %) tornado-induced
and 187 (59.7 %) non-tornado-induced ones. It is of note that
the dates of the most impactful large-scale windthrows with a damage area
<inline-formula><mml:math id="M127" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 km<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were determined for 44 out of 49 cases (90 %).
Windthrow events with known dates have a total area of 2599 km<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, i.e.,
87.7 % of the total wind-damaged area.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e3500">Interannual variability in the number of windthrows,
related damaged area, and number of storm events. Note the logarithmic
scale for the damaged area. Periods for the EEFCC and GFC datasets are
indicated.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f12.png"/>

        </fig>

      <p id="d1e3509">The storm-damaged area has a relatively high interannual variability (Fig. 12). The largest area of windthrow, i.e., <inline-formula><mml:math id="M130" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1200 km<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, is
found in 2010, when two exceptional storm events occurred. An extremely high
number of tornado-induced windthrow events occurred in 2009 and 2017. Storm
events causing windthrows have been observed every year and range from 2 to
36, with the maximum in 2012 and minimum in 2001. In general, the annual number
of windthrows and storm events was lower before 2001, when the EEFCC data were
used to identify windthrow, and higher after 2001, when the GFC data were
utilized. The annual number of windthrow events for these periods amounts to 12.1
and 30.5, respectively; in its turn, the annual number of storm events<?pagebreak page3506?> amounts
to 8.3 and 20.9. This temporal inhomogeneity, related to the different initial
data used, should be taken into account when interannual variability is
analyzed. More details on the dataset limitations are provided in Sect. 6.</p>
      <p id="d1e3529">Windthrow events occur in ER from May to October (Fig. 13). The seasonal
maximum of the number of windthrow events is found in June – both for
tornadoes and for other storm events. This is in concordance with the
previous estimates on tornado climatology (Shikhov and Chernokulsky,
2018; Chernokulsky et al., 2020). The maximum frequency of the occurrence of
storm events causing windthrows is also observed in June. Moreover, more than
90 % of storm events with known dates occur in summer. It is important to
note that we failed to establish the month of appearance for 127
tornado-induced windthrow areas and 98 non-tornado-induced ones, which have a
total area of 245 km<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><label>Figure 13</label><caption><p id="d1e3543">Annual cycle of the number of windthrows, related damaged
area, and number of storm events. Note the logarithmic scale for damaged
area.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f13.png"/>

        </fig>

      <p id="d1e3552">Sometimes, two or more storm events causing windthrows occurred in ER on
the same day. In total, we found 7 outbreaks with more than 10
windthrow areas per day. The most remarkable outbreaks occurred on 18 July 2012 when 9 storms resulted in 25 windthrow areas and on 7 June 2009
when 5 storms resulted in 24 windthrow areas. However, the largest forest
damage is associated with a single storm, namely the long-lived convective
storm “Asta” (Suvanto et al., 2016). This storm passed over the
northwestern part of ER and Finland on 29 July 2010 and damaged 639 km<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of forests in Russia alone.</p>
      <p id="d1e3564">No winter windthrow events were found. It is of note that both GFC and
EEFCC Landsat-based products reveal stand-replacing windthrow areas
regardless of the season of their appearance. In particular, if windthrow
happened in winter, it would be clearly seen in images taken in subsequent
vegetation periods because of a rather slow forest recovery process. Therefore,
the lack of winter windthrow revealed is feasibly due to the climatic
conditions of the study area and is not associated with data limitations.
In particular, winter storms from Western Europe reach the territory of
Russia that is already weakened (Haylock, 2011), In addition, in ER and Northern
Europe, low temperatures and soil freezing also prevent trees from
falling because of windstorms during the winter season (Suvanto et al., 2016).
According to Suvanto et al. (2016), winter windthrows are not typical for
Finland either.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><label>Figure 14</label><caption><p id="d1e3569">Distribution of <bold>(a)</bold> the size of EDAs for different types of
windthrows and of <bold>(b)</bold> a number of EDAs within one windthrow.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f14.png"/>

        </fig>

      <p id="d1e3585">We restored the time of occurrence with 6 h accuracy for 216 windthrow
events, 136 among them using weather station reports and 80 using other
data sources. We found 122 windthrow events (56.4 %) occurring between
15:00 and<?pagebreak page3507?> 21:00 LT (local time), which coincides with the afternoon maximum of the development of a deep convection. However, several more impactful storms, including, for instance, the “Asta” storm, occurred around midnight local time. No windthrows were found between 06:00 and 10:00 LT during the morning minimum of the convection diurnal cycle. A similar diurnal cycle was found for tornado events in northern Eurasia (Chernokulsky et al., 2020).</p>
</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Geometrical parameters of windthrow areas, elementary damaged areas, and storm tracks</title>
      <p id="d1e3596">The area of EDAs varies between 0.0018 and 30.9 km<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Most of the EDAs are less
than 0.01 km<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 14a), but their total area is less than 10 %. In
turn, 1 % of the largest EDAs account for 36.8 % of the total area of
windthrows. Using the Kolmogorov–Smirnov (K–S) test, we found that at the 0.01
significance level, we can reject the null hypothesis that two samples of
<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>EDA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> within each pair of windthrow types are drawn from the same
distribution (at the 0.01 level). Because of the small sample size of windthrow
areas induced by non-convective storms, later in the article, we will not
discuss the results of the K–S test to compare distributions of
characteristics of this type with those of other types.</p>
      <p id="d1e3628">Tornado-induced windthrow areas contain fewer EDAs than windthrow areas
induced by strong wind (Fig. 14b). In particular, most of the tornado-induced
windthrow areas include 10–25 EDAs, and only 2.5 % of them consist of
more than 100 EDAs. In contrast, about 43 % of non-tornado-induced
windthrow areas include more than 100 EDAs, while 5.5 % of them consist
of more than 1000 EDAs. Based on the K–S test, we found that samples of a
number of EDAs in tornado- and convective-storm-induced windthrow areas are
from different distributions.</p>
      <p id="d1e3631">A relatively small number of severe storm events are responsible for most of
the area of windthrow (Fig. 15a). Indeed, the 10 most destructive storm
events occurred in ER over 1986–2017 and damaged 1758 km<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of forests,
namely 59.2 % of the total area of windthrows in the database. This
peculiarity is less pronounced for tornado-induced windthrow areas since
their area usually is less than 10 km<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. In particular, 10 tornadoes
with the largest areas damaged 96.6 km<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of forests – 25.5 % of the
total tornado-damaged area. Thus, the distribution of tornado-damaged areas
is less skewed to high values than the distribution of other windthrow
areas. The K–S test shows that samples of <inline-formula><mml:math id="M140" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> for tornado- and convective-storm-induced windthrow areas are from different distributions.</p>
      <p id="d1e3668">The length of windthrows ranges from 0.8 to 283.6 km (Fig. 15b). More than
44 % of tornado-induced windthrow areas have path length <inline-formula><mml:math id="M141" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 5 km,
while path lengths of 5–15 km are most frequent for non-tornado-induced ones.
Based on the K–S test, we found that samples of the number of <inline-formula><mml:math id="M142" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> for tornado- and
convective-storm-induced windthrow areas are from different distributions.
The maximum length of a storm track, consisting of several subsequent
windthrow areas, reaches 544 km. This damage track was caused by the storm on
27 June 2010. In addition, another nine storm tracks have a length exceeding
250 km – most of them are among the most destructive in terms of
forest-damaged area. Such series of windthrows with exceptionally long
path lengths were likely caused by derechos. Derechos are long-lived
mesoscale convective systems producing widespread damaging winds and causing
large-scale forest damage in the United States (Johns and Hirt, 1987; Peterson, 2000),
Europe (Taszarek et al., 2019), and South America (Negrón-Juárez et
al., 2010), although not a single derecho event has been reported
previously in Russia. A more detailed further analysis of these storm events
should be carried out to confirm their nature.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><label>Figure 15</label><caption><p id="d1e3688">Distribution of geometric parameters of windthrows of
different types and storm tracks: <bold>(a)</bold> area, <bold>(b)</bold> length, <bold>(c)</bold> mean width, and
<bold>(d)</bold> maximum width.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/12/3489/2020/essd-12-3489-2020-f15.png"/>

        </fig>

      <p id="d1e3709">Most of the tornado-induced windthrow areas have <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> less than 200 m (Fig. 15c, d). Instead, the distribution of <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of non-tornado-induced windthrow areas shifted toward larger <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. In particular, 103 windthrow areas (32.9 %) have <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m. The K–S test shows that samples of both <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>mean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for tornado- and convective-storm-induced windthrow areas are from different distributions. The width of storm tracks is several times higher than the width of windthrow areas. Moreover, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmax</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of non-tornadic storms is several times higher than their <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>TRmax</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> exceeds 30 km for the three widest convective storms: two derechos occurred on 27 June and<?pagebreak page3508?> 29 July 2010, and one non-convective storm occurred on 7–8 August 1987.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Data and method limitations</title>
      <p id="d1e3836">Due to several data and method limitations, the presented database is
spatially and temporally inhomogeneous and hence incomplete. Specifically,
since most of the windthrows were delineated from the GFC and EEFCC datasets,
forest loss areas which are initially missed or underestimated in these
datasets could be missed in our database as well. The verification
performed with the Landsat images and the HRIs allows us to reduce these
omissions. In particular, we found several windthrows in small-leaved or
broadleaved forests that were substantially underestimated in the GFC
dataset.</p>
      <p id="d1e3839">The efficiency of the method depends on the percentage of forest-covered
area. In general, our data are more complete for the low-populated northern and eastern part of ER where forests cover 70 %–90 % of the territory and dark coniferous forests are widespread (Bartalev et al., 2016). However, some regions in the northern part of ER are not covered by HRIs, which prevents the thorough verification of some windthrow areas.</p>
      <p id="d1e3842">In the southern part of the study area, the dataset is likely less complete
since some windthrow areas can be overlooked. In particular, it is possible
to miss windthrow area if a storm or tornado passed through areas of
intensive timber harvesting or agricultural lands (Shikhov and Chernokulsky,
2018). Salvage logging performed shortly after a storm event also
complicates the identification of wind-related forest damage (Baumann et
al., 2014). However, in most cases, the time interval between storm event
and salvage logging in ER was quite long, i.e., more than a year, except
for more populated southern regions.</p>
      <p id="d1e3845">Temporal inhomogeneity of our database, especially for small-scale windthrow
areas, comes from the following causes.
<list list-type="order"><list-item>
      <p id="d1e3850">Two different Landsat-based products were used to search for windthrow-like disturbances: the EEFCC before 2001 and the GFC after. The GFC data have a higher accuracy of forest loss detection and of initial time assignment than the EEFCC (see Sect. 4.1 for details), which allows us to detect more windthrow areas. Thus, the annual number of windthrow events is 2.5 times higher in the GFC period compared to the EEFCC period.</p></list-item><list-item>
      <p id="d1e3854">After 2002–2003, the HRIs became available, which made it possible to confirm the tornadic nature of windthrow events. The observed increase in the number of tornado-induced windthrow events after 2003 is very likely related to the appearance of the HRIs.</p></list-item><list-item>
      <p id="d1e3858">The start of the Sentinel-2 mission in 2015 providing images with a 10 m spatial resolution (Drusch et al., 2012) has also increased the possibility for windthrow identification.</p></list-item><list-item>
      <p id="d1e3862">A strong decrease in the volume of timber harvesting occurred in ER, especially in its northeastern part, after the dissolution of the Soviet Union (Potapov et al., 2015). This could lead to more omissions of windthrow<?pagebreak page3509?> areas in the late 1980s compared to the subsequent period because of their overlapping with logged areas.</p></list-item><list-item>
      <p id="d1e3866">The number of windthrow areas and storm events has been determined with the use of arbitrary threshold values. It could have changed substantially due to modifications to these thresholds (see Sect. 4.1.4. and 4.3. for more details). So, the data on the number of windthrow events may be more inhomogeneous than the assessment of the wind-affected area.</p></list-item></list></p>
      <p id="d1e3870">Thus, the presented database should be used for assessing interannual
variability with caution. Special assumptions should be made to estimate
linear trends. For instance, they can be obtained for particular regions,
e.g., for those with little changes in forestry practices, and for relatively
large windthrow areas that are well-detected from both the EEFCC and the
GFC data. For instance, the linear trend in the number of windthrows with an area <inline-formula><mml:math id="M153" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 1 km<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> amounts to 0.27 yr<inline-formula><mml:math id="M155" 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> and is statistically
significant at the 0.05 level<fn id="Ch1.Footn1"><p id="d1e3901">Trends were computed with the Theil–Sen
estimator. Significance was obtained with the nonparametric Mann–Kendall
test.</p></fn>. This increase in wind-related forest disturbances is in line with the
observed increase in such characteristics as convective precipitation (Ye et
al., 2017; Chernokulsky et al., 2019), convective cloudiness (Sun et al.,
2001; Chernokulsky et al., 2011), and convective instability indices
(Riemann-Campe et al., 2009; Chernokulsky et al., 2017) in ER in the
last decades.</p>
      <p id="d1e3905">Currently, the proposed method requires expert verification at almost all
stages, which prevents it being switched into the automatic mode. The possibility
of automated searching throughout the GFC and EEFCC datasets is limited by a
wide variety of windthrow shapes and their overlapping with other forest
disturbances. The data collection process requires the use of numerous and
diverse sources such as the HRIs from various public web services, weather
station reports, eyewitness and media reports, etc.</p>
      <p id="d1e3908">While the algorithms for automated forest disturbance detection based on
satellite data are well-developed and applied from the regional to global
scale (Huo et al., 2019), the automated attribution of forest disturbances to
their causes, namely windstorms, logging, wildfires, insect outbreaks, and
others, remains a critical challenge for satellite-based forest monitoring.
The spectral characteristics of various types of disturbance, e.g.,
windthrow and logged areas, are often similar (Baumann et al., 2014), which
complicates the automated attribution. The promising approaches in this
process is the complex use of spectral, temporal, and topography-related
metrics (Oeser et al., 2017), as well as implementing advanced image
classification/segmentation methods (Oeser et al., 2017; Liu et al., 2018;
Huo et al., 2019). In future studies, such approaches can be applied to
automate the delineation of windthrow areas in ER using satellite data with
various spatial resolutions.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Data availability</title>
      <p id="d1e3920">The data are freely available at
<ext-link xlink:href="https://doi.org/10.6084/m9.figshare.12073278.v6" ext-link-type="DOI">10.6084/m9.figshare.12073278.v6</ext-link> (Shikhov et al., 2020). It
will be periodically updated with new and historical windthrow events.</p>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <label>8</label><title>Conclusions</title>
      <p id="d1e3934">The compiled GIS database contains the most complete information on
relatively large stand-replacing windthrow areas in the forest zone of ER in 1986–2017. The database contains 102 747 elementary damaged areas, combined into 700 windthrow areas, which were caused by 486 storm events. For each windthrow, we determined its type with degree of certainty, dates or date ranges, and geometrical characteristics. The database also contains weather station reports and links to additional information on storm events from the media. We included in the database only the stand-replacing windthrows with an area <inline-formula><mml:math id="M156" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 and <inline-formula><mml:math id="M157" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.25 km<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for the tornado- and non-tornado-induced windthrows, respectively.</p>
      <p id="d1e3960">The total windthrow area amounts to 2966 km<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, namely 0.19 % of the
forested area within the study region. Most of the windthrows in ER, i.e.,
82.5 % of the total wind-damaged area, are related to convective squalls
and downbursts, which occur mainly in June and July. The 10 most impactful
storms are responsible for 59.2 % of the total forest damage. More than
55 % of windthrow events in the database are tornado-induced, but their
contribution to total damaged area is much lower – it is less than 13 %.
Non-convective windstorms and snowstorms caused only 4.6 % of the
storm-damaged area.</p>
      <p id="d1e3972">The largest area of windthrows is assigned to the year 2010, when two
exceptionally destructive storm events occurred: on 27 June and 29 July 2010. An extremely high number of tornado-induced windthrows were
observed in 2009 and 2017: 45 and 40 tornadoes, respectively.</p>
      <p id="d1e3975">The presented method has several limitations resulting in the spatial and
temporal inhomogeneity of the compiled database specifically for small-scale
windthrow areas, and hence the dataset is determined to be incomplete. Because of the
influence of the forested area percentage and forestry practices, such windthrow
areas can be rather missed in the southern part of ER compared to the
northern part. Because of the coarser resolution of the EEFCC data and lack of
HRIs, windthrow areas can be rather missed before 2001. The obtained
increases in the number of windthrow events and affected areas are mainly
artificial.</p>
      <p id="d1e3979">Despite the incompleteness, the compiled database provides a valuable source
of spatial and temporal information on windthrow events in ER. On the
one hand, the database allows us to estimate the role of wind-related disturbances in comparison to other natural disturbances in forests and to improve our understanding of different forest species susceptible to windstorms. On the other hand, the database presents a unique source of information on storm and tornado events<?pagebreak page3510?> causing forest damage in ER. It includes numerous, previously unknown storms and tornadoes which caused forest damage and also clarifies information on the known storm events. Thus, the database substantially contributes to the climatology of severe storms and tornadoes in ER. Based on the compiled database, further studies may be
carried out to determine the contribution of climate variability to the
interannual variability in wind-related forest damage and to quantify the
risk of windthrow to forests in all of ER.</p>
</sec>

      
      </body>
    <back><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3986">ASh and AC designed the study. ASh and ASe performed the
windthrow identification using satellite data. ASh and IA carried out an
analysis of additional information to determine storm event types and dates.
Ash and ACh, with contributions from IA, wrote the initial draft of the paper
and produced the maps and figures.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3992">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3998">The study was funded by the Russian Foundation for Basic Research (projects nos. 19-05-00046 and 20-35-70044). The determination of storm track characteristics was supported by the Russian Science Foundation (project no. 18-77-10076). The authors thank Barry Gardiner and two anonymous reviewers for their comments that helped to improve the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4004">The study was funded by the Russian Foundation for Basic Research (projects nos. 19-05-00046 and 20-35-70044). The determination of storm track characteristics was supported by the Russian Science Foundation (project no. 18-77-10076).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4010">This paper was edited by Birgit Heim and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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    <!--<article-title-html>A satellite-derived database for stand-replacing windthrow events in boreal forests  of European Russia in 1986–2017</article-title-html>
<abstract-html><p>Severe winds are among the main causes of disturbances in
boreal and temperate forests. Here, we present a new geographic information system (GIS) database of stand-replacing windthrow events in the forest zone of European Russia (ER) for the 1986–2017 period. The delineation of windthrow areas was based on the full Landsat archive and two Landsat-derived products on forest cover change, namely the Global Forest Change and the Eastern Europe's forest cover change datasets. Subsequent verification and analysis of each windthrow was carried out manually to determine the type of related storm event, its date or date range, and geometrical characteristics. The database contains 102&thinsp;747 elementary areas of damaged forest that were combined into 700 windthrow events caused by 486 convective or non-convective storms. The database includes stand-replacing windthrows only with an area  &gt; &thinsp;0.05 and  &gt; &thinsp;0.25&thinsp;km<sup>2</sup> for the events caused by tornadoes and other storms, respectively. Additional information such as weather station reports and event descriptions from media sources is also provided. The total area of stand-replacing windthrows amounts to 2966&thinsp;km<sup>2</sup>, which is 0.19&thinsp;% of the forested area of the study region. Convective windstorms contribute 82.5&thinsp;% to the total wind-damaged area, while tornadoes and non-convective windstorms are responsible for 12.9&thinsp;% and 4.6&thinsp;% of this area, respectively. Most of the windthrow events in ER happened in summer, which is in contrast to Western and Central Europe, where they mainly occur in autumn and winter. Due to several data and method limitations, the compiled database is spatially and temporally inhomogeneous and hence incomplete. Despite this incompleteness, the presented database provides a valuable source of spatial and temporal information on windthrow in ER and can be used by both science and management. The database is available at <a href="https://doi.org/10.6084/m9.figshare.12073278.v6" target="_blank">https://doi.org/10.6084/m9.figshare.12073278.v6</a> (Shikhov et al., 2020).</p></abstract-html>
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