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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-20-2785-2023</article-id><title-group><article-title>Burned area and carbon emissions across northwestern boreal North America
from 2001–2019</article-title><alt-title>Burned-area and carbon emissions across northwestern boreal North America</alt-title>
      </title-group><?xmltex \runningtitle{Burned-area and carbon emissions across northwestern boreal North America}?><?xmltex \runningauthor{S. Potter et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Potter</surname><given-names>Stefano</given-names></name>
          <email>spotter@woodwellclimate.org</email>
        <ext-link>https://orcid.org/0000-0002-5141-3409</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Cooperdock</surname><given-names>Sol</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Veraverbeke</surname><given-names>Sander</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1362-5125</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Walker</surname><given-names>Xanthe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Mack</surname><given-names>Michelle C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Goetz</surname><given-names>Scott J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Baltzer</surname><given-names>Jennifer</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7476-5928</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Bourgeau-Chavez</surname><given-names>Laura</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7127-279X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Burrell</surname><given-names>Arden</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Dieleman</surname><given-names>Catherine</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>French</surname><given-names>Nancy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Hantson</surname><given-names>Stijn</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4607-9204</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10 aff17">
          <name><surname>Hoy</surname><given-names>Elizabeth E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0104-5118</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Jenkins</surname><given-names>Liza</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Johnstone</surname><given-names>Jill F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6131-9339</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Kane</surname><given-names>Evan S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Natali</surname><given-names>Susan M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Randerson</surname><given-names>James T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Turetsky</surname><given-names>Merritt R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Whitman</surname><given-names>Ellen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16">
          <name><surname>Wiggins</surname><given-names>Elizabeth</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rogers</surname><given-names>Brendan M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6711-8466</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Woodwell Climate Research Center, Falmouth, MA 02540, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Atmospheric and Oceanic Sciences, University of California, Los Angeles, Los Angeles, CA 90095, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Faculty of Science, Vrije Universiteit Amsterdam, Amsterdam, 1105, the
Netherlands</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Center for Ecosystem Science and Society, Northern Arizona University,
Flagstaff, AZ 86011, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>School of Informatics, Computing, and Cyber Systems, Northern Arizona
University, Flagstaff, AZ 86011, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Wilfrid Laurier University, Waterloo, ON N2L 3C5, Canada</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Michigan Tech Research Institute, Ann Arbor, MI 48105, USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>University of Guelph, Guelph, ON N1G 2W1, Canada</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Universidad del Rosario, Bogotá,  Cundinamarca, 200433, Colombia</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Institute of Arctic Biology, University of Alaska Fairbanks,
Fairbanks, AK 99775, USA</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>12College of Forest Resources and Environmental Sciences, Michigan Tech University, Houghton, MI 49931, USA</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Department of Earth System Science, University of California, Irvine, Irvine, CA 92697, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Institute of Arctic and Alpine Research, University of Colorado Boulder, Boulder CO 80309, USA</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Natural Resources Canada, Canadian Forest Service, Northern Forestry
Centre, Edmonton, AB T6H 3S5, Canada</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>NASA Langley Research Center, Hampton, VA 23666, USA</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>Global Science &amp; Technology, Inc, Greenbelt, MD 20770, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Stefano Potter (spotter@woodwellclimate.org)</corresp></author-notes><pub-date><day>14</day><month>July</month><year>2023</year></pub-date>
      
      <volume>20</volume>
      <issue>13</issue>
      <fpage>2785</fpage><lpage>2804</lpage>
      <history>
        <date date-type="received"><day>20</day><month>May</month><year>2022</year></date>
           <date date-type="rev-request"><day>29</day><month>September</month><year>2022</year></date>
           <date date-type="rev-recd"><day>11</day><month>May</month><year>2023</year></date>
           <date date-type="accepted"><day>1</day><month>June</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Stefano Potter et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023.html">This article is available from https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <?pagebreak page2786?><p id="d1e387">Fire is the dominant disturbance agent in Alaskan and Canadian
boreal ecosystems and releases large amounts of carbon into the atmosphere.
Burned area and carbon emissions have been increasing with climate change,
which have the potential to alter the carbon balance and shift the region
from a historic sink to a source. It is therefore critically important to
track the spatiotemporal changes in burned area and fire carbon emissions
over time. Here we developed a new burned-area detection algorithm between
2001–2019 across Alaska and Canada at 500 m (meters) resolution that
utilizes finer-scale 30 m Landsat imagery to account for land cover
unsuitable for burning. This method strictly balances omission and
commission errors at 500 m to derive accurate landscape- and regional-scale
burned-area estimates. Using this new burned-area product, we developed
statistical models to predict burn depth and carbon combustion for the same
period within the NASA Arctic–Boreal Vulnerability Experiment (ABoVE) core
and extended domain. Statistical models were constrained using a database of
field observations across the domain and were related to a variety of
response variables including remotely sensed indicators of fire severity,
fire weather indices, local climate, soils, and topographic indicators. The
burn depth and aboveground combustion models performed best, with poorer
performance for belowground combustion. We estimate  <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.37</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> ha (2.37 Mha) burned annually between 2001–2019 over the ABoVE domain (2.87 Mha
across all of Alaska and Canada), emitting 79.3 <inline-formula><mml:math id="M2" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 27.96 Tg (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>
standard deviation) of carbon (C) per year, with a mean combustion
rate of 3.13 <inline-formula><mml:math id="M4" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.17 kg C m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Mean combustion and burn depth
displayed a general gradient of higher severity in the northwestern portion
of the domain to lower severity in the south and east. We also found larger-fire years and later-season burning were generally associated with greater
mean combustion. Our estimates are generally consistent with previous
efforts to quantify burned area, fire carbon emissions, and their drivers in
regions within boreal North America; however, we generally estimate higher
burned area and carbon emissions due to our use of Landsat imagery, greater
availability of field observations, and improvements in modeling. The burned
area and combustion datasets described here (the ABoVE Fire Emissions
Database, or ABoVE-FED) can be used for local- to continental-scale
applications of boreal fire science.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>NNX15AU56A</award-id>
<award-id>NX15AT71A</award-id>
<award-id>NNX15AT83A</award-id>
<award-id>80NSSC19M0107</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Gordon and Betty Moore Foundation</funding-source>
<award-id>8414</award-id>
</award-group>
<award-group id="gs3">
<funding-source>U.S. Department of Defense</funding-source>
<award-id>RC18-1183</award-id>
</award-group>
<award-group id="gs4">
<funding-source>European Research Council</funding-source>
<award-id>FireIce - Fire in the land of ice: Climatic drivers and feedbacks (101000987)</award-id>
</award-group>
<award-group id="gs5">
<funding-source>U.S. Forest Service</funding-source>
<award-id>RJVA-PNW-01-JV-11261952-231</award-id>
</award-group>
<award-group id="gs6">
<funding-source>National Science Foundation</funding-source>
<award-id>DEB-1636476</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e450">Fire is the dominant disturbance agent in boreal forests (Stocks et al.,
2003) and places large controls on ecosystem dynamics including vegetation
composition and structure, nutrient cycling, permafrost, and carbon cycling
(Bonan and Shugart, 1989; Bond-Lamberty et al., 2007; Walker et al., 2019).
Fire frequency, intensity, and burned area have been increasing in Alaskan
and Canadian boreal forests over the last several decades (Hanes et al.,
2018; Kasischke et al., 2010; Veraverbeke et al., 2017), and these trends
are expected to continue throughout the 21st century due to a warmer
and drier climate (Balshi et al., 2009; Boulanger et al., 2018; Young et
al., 2017). Changes to the fire regime have been associated with more severe
fires, which burn deeper into the organic soil profile and may be related to
large-fire years and seasonal timing of burn (Turetsky et al., 2011),
although this has not been tested widely. Ultimately, changes in the fire
regime have the potential to transition at least some North American boreal
forests from a carbon sink to a source (Dieleman et al., 2020; Li et al.,
2017; Walker et al., 2019; Wang et al., 2021). To better understand how
changing boreal fire regimes influence carbon dynamics, it is critical to
accurately map burned area and estimate resulting carbon emissions over
time.</p>
      <p id="d1e453">Burned-area mapping in Alaska and Canada over long time frames (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> years) has primarily been based on digitized maps of fire observations
(both by hand and in recent decades using GPS, aerial imagery, and satellite
remote sensing) from the Alaska Large Fire Database (ALFD; Kasischke et al.,
2002), the Canadian National Fire Database (CNFD; Amiro et al., 2001; Stocks
et al., 2003), and more recently the Canadian National Burned Area Composite
(NBAC; Hall et al., 2020). These databases are updated annually in Alaska
and Canada, yet substantial uncertainty remains, particularly as the
databases go further back in time, when aerial and satellite imagery was less
prevalent. Of particular importance is the possibility of commission errors
because the databases do not typically account for unburned patches of
vegetation and waterbodies within the fire perimeters, leading to an
overestimation of burned area (Skakun et al., 2021). At the same time, the
databases are more likely to omit fires due to lost records or missed
detections in earlier decades (Kasischke et al., 2002; Stocks et al., 2003),
leading to omissions. Mapping fire perimeters in recent decades has improved
with the use of satellite remote sensing, particularly from 30 m
Landsat (Epp and Lanoville, 1996) and 500 m Moderate Resolution Imaging
Spectroradiometer (MODIS) imagery. While MODIS imagery is at coarser
resolution than Landsat, its multiple acquisitions per day are highly
amenable to burned-area mapping, although there are known omission errors
due to small (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha) burns as well as an overestimation of burned
area at the pixel level due to the relatively coarse 500 m resolution, which
misses some unburned vegetation patches and waterbodies (Giglio et al.,
2018). Landsat imagery can largely bypass these issues of spatial resolution
(Guindon et al., 2018; Walker et al., 2018), but the relatively infrequent
overpass times and typical cloudy environments in the tundra and boreal
biome result in data gaps, particularly prior to the launch of Landsat 7 (1999) due to data relay issues and limited tasking.</p>
      <p id="d1e476">Traditionally, carbon emissions from wildfires have been calculated as a
function of burned area, fuel consumption, and emission factors (French et
al., 2011; Seiler and Crutzen, 1980). Carbon emissions in these models are
based on observed relationships between fuel consumption, fire weather, and
fuel type. Current models that are built with this framework include the
Wildland Fire Emissions Information System (WFEIS; French et al., 2011,
2014), the Fire Inventory from the National Center for Atmospheric Research (FINN; Wiedinmyer et al., 2011), and the
Global Fire Emission Database (GFED; van der Werf et al., 2017). In addition
to these regional and global products, there are several model products that
provide estimates in boreal ecosystems of Alaska (French et al., 2002;
Kasischke and Hoy, 2012; Tan et al., 2007; Veraverbeke et al., 2015) and
Canada (Amiro et al., 2001; de Groot et al., 2007). Researchers have also
made improvements to process-based models' representation of fire occurrence
and effects (Hantson et al., 2016; Rabin et al., 2017; Zhao et al., 2021).
These models can be used to explore causal relationships and have the
benefit of estimating how burn rates and carbon emissions may vary under
differing future climate change scenarios.</p>
      <p id="d1e479">In addition to simple empirical and process-based models of carbon
combustion, several recent studies have implemented statistical techniques
to model combustion based on field observations, satellite remote sensing
imagery, and other geospatial data (Dieleman et al., 2020; Rogers et al.,
2014; Veraverbeke et al., 2015, 2017; Walker et al., 2018). These advances
are possible due to the increasing volume of field observations of
combustion and have the advantages of unraveling complex relationships
between<?pagebreak page2787?> combustion observations and geospatial information to extrapolate
over space and time. Satellite imagery collected both pre-fire and post-fire
has been particularly useful for these techniques (Hudak et al., 2007; Key
and Benson, 2006). Specifically, the differenced normalized burn ratio
(dNBR) combines the near-infrared and shortwave infrared bands obtained before and
after a fire, and the spectral information retained is sensitive to
reductions in vegetation and moisture content post-fire. Due to these
qualities dNBR correlates relatively strongly with aboveground biomass loss,
but there have been conflicting findings on the strength of the relationship
with belowground fire severity, which is particularly important in boreal
ecosystems (Kasischke and Hoy, 2012; McGuire et al., 2009). Additional
environmental predictors have been combined with dNBR to statistically model
aboveground and belowground combustion across Alaska and Canada, including
quantified uncertainties (Dieleman et al., 2020; Rogers et al., 2014;
Veraverbeke et al., 2015, 2017; Walker et al., 2018). Veraverbeke et al. (2015)
found topographic variables (elevation, slope, northness), pre-fire
vegetation cover (% tree cover), and day of burning to be important
predictors for both aboveground and belowground combustion and more
specifically the combination of dNBR, day of burning, elevation, and tree
cover to be the most informative in Alaska. Walker et al. (2018) considered 71
variables associated with topography, permafrost condition, fire severity,
fire weather, and soil properties and found that dNBR, change in pre- and
post-fire tree cover, terrain ruggedness, topographic wetness, percent black
spruce, and percent sand were the most informative for the 2014 Northwest
Territories fires. Although these results have been encouraging,
extrapolations have been limited to specific regions in Canada and Alaska
and often to specific fire years. It is likely that the inclusion of
additional field data across a more representative selection of field
locations in Alaska and Canada would improve model fits and allow for
extrapolation over a larger domain and longer time periods.</p>
      <p id="d1e483">In this study we first derived a new 500 m burned-area product for all of
Alaska and Canada during 2001–2019. Our approach builds on previous
satellite-based burned-area mapping efforts (Chen et al., 2020; Dieleman et
al., 2020; Loboda et al., 2018; van der Werf et al., 2017; Veraverbeke et
al., 2015; Walker et al., 2018) with 500 m MODIS data but advances these by
using 30 m Landsat imagery to both improve accuracy and account for the
presence of unburnable land cover. Using this burned-area product, along
with a new comprehensive database of combustion observations in Alaska and
central/western Canada (Walker et al., 2020a), we used machine learning to
estimate burn depth and fire carbon emissions across the Arctic–Boreal Vulnerability Experiment (ABoVE) domain. We
compare our product to a suite of previous efforts and use it to test
previously hypothesized relationships between fire severity, annual burned
area, and seasonal timing of burning.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d1e501">The spatial domain of this study includes all of Alaska and Canada for our
burned-area product and the ABoVE
core and extended domain (hereafter the “ABoVE domain”; Loboda et al.,
2019) for our combustion and burn depth product (Fig. 1). The combustion
and burn depth products were not derived beyond the ABoVE domain due to a
lack of field observations in eastern Canada. The temporal domain for all
products is 2001–2019. Our study area includes all natural boreal and arctic
vegetation within the ABoVE domain, including boreal forests, boreal
wetlands, grasslands, tundra, and tundra wetlands. To determine these
locations we derived a vegetation mask using the 2005 Land Cover of North
America product (250 m; CCRS, 2013; Pouliot and Latifovic, 2013; Pouliot et
al., 2014), MODIS land cover type with International Geosphere–Biosphere
Programme (IGBP) classification (Collection 6, year 2005, 500 m; Friedl and
Sulla-Menashe, 2019), the Circumpolar Arctic Vegetation Map (CAVM; Raynolds
et al., 2019), and long-term climate (1970–2000, <inline-formula><mml:math id="M8" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 km;
Fick and Hijmans, 2017), all re-gridded to 500 m resolution on the MODIS
sinusoidal projection (Fig. S1 in the Supplement). Boreal vegetation was distinguished from
temperate using a mean annual temperature threshold of 3 <inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, as
recommended in Wolfe (1979) and implemented in Rogers et al. (2015). Pixels
were designated as urban, crop, crop/natural vegetation mosaic, or water if
they were represented as such in either the Land Cover of North America or
MODIS land cover products. Pixels were designated as tundra if they were
within the CAVM domain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e522">Study domain. Locations of combustion observations (red), the
burned-area product domain (light gray), and the combustion and burned-depth
product domain (dark gray).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f01.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2788?><sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Field data</title>
      <p id="d1e541">Field measurements of burn depth and combustion were derived from numerous
data sources across different research groups that represent a major
synthesis effort sponsored by the NASA ABoVE program (Boby et al., 2010;
Dieleman et al., 2020; de Groot et al., 2009; Hoy et al., 2016; Rogers et
al., 2014; Turetsky et al., 2011; Veraverbeke et al., 2015; Walker et al.,
2018). Detailed descriptions of data collection methods can be found in the
contributing publications. All field site information was standardized and
aggregated into a single publicly available database (Walker et al., 2020a),
which has been used to assess patterns and drivers of ecosystem structure
and combustion across ecoregions (Walker et al., 2020b, c). Although the field database only includes measurements from boreal
ecosystems, our combustion and burn depth predictions include both boreal
and tundra ecosystems. Of all the pixels for which we predicted combustion
and burn depth, only 0.78 % are in tundra landscapes.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Burned-area mapping</title>
      <p id="d1e552">The ABoVE Fire Emissions Database (ABoVE-FED) burned-area product is derived
from a dNBR thresholding approach, which has previously been successfully
employed for burned-area mapping in the region (Rogers et al., 2014;
Veraverbeke et al., 2015; Walker et al., 2018). Our primary approach was to
use Landsat imagery to separate burned from unburned pixels at 30 m.
However, because Landsat imagery was not available for all regions and time
periods, we used MODIS imagery to map burned pixels when necessary and
upscaled our Landsat-based product to 500 m MODIS resolution. More
specifically we used pre- and post-fire near-infrared (NIR) and shortwave
infrared (SWIR) bands from Aqua (MYD09GA Collection 6; Vermote and Wolfe, 2015a), Terra
(MOD09GA Collection 6; Vermote and Wolfe, 2015b), and Landsat 5–8, calculating dNBR as
the difference in pre-fire normalized burn ratio (NBR) and post-fire NBR,
where NBR is near-infrared minus shortwave infrared divided by near-infrared
plus shortwave infrared.</p>
      <p id="d1e555">This approach had the added advantage of accuracy; whereas a Landsat dNBR
threshold tends to be surpassed at the site level in a diffuse manner across
the landscape, due to stochastic site-level disturbances such as tree
mortality, herbivory, flooding, or small-scale dieback, it is much less
common for these small-scale disturbances to influence the majority of a 500 m pixel. We also minimized mapping non-fire disturbances by following the
approach of Veraverbeke et al. (2015) and applying our dNBR approach to (1) mapped fire polygons from the ALFD and CNFD (93 % of total burned pixels;
hereafter collectively referred to as the National Large Fire Databases,
NLFD) and (2) MODIS active-fire acquisitions (MOD14A1 Collection 6 and MYD14A1
Collection 6; Giglio et al., 2018) outside these polygons
(7 % of total burned pixels). In each case we applied a 1 km buffer
(Veraverbeke et al., 2015) to capture burned pixels immediately outside
these areas. Finally, our approach is motivated by a desire to balance
commission and omission errors at both the 30  and 500 m scales, thereby
providing an unbiased estimate of total burned area.</p>
      <p id="d1e558">To map 30 m burned pixels, we first extracted dNBR at both burned and
unburned control sites in our aggregated field database using available
cloud-free Landsat 5, 7, and 8 Tier 1 surface reflectance images in Google
Earth Engine (Gorelick et al., 2017). Landsat 5 and 7 were atmospherically
corrected using the Landsat Ecosystem Disturbance Adaptive Processing System
(LEDPAS; Schmidt et al., 2013), while Landsat 8 was atmospherically corrected
using Land Surface Reflectance Code (LaSRC; Vermote et al., 2016). Pre- and
post-fire normalized burn ratio (NBR) was calculated as the mean of all
available Landsat observations between July and August. Pre-fire values were
extracted 1 year before a given fire, and post-fire values were extracted
1 year after a fire. We then selected a 30 m Landsat dNBR threshold that
most effectively separated burned and unburned control sites. Because there
are many fewer unburned control sites in the Walker et al. (2020a) combustion
database, we derived additional control sites by extracting dNBR at burned
sites 2 years before a given fire, which had the advantage of controlling
for any site-level spectral differences between burned and control sites
represented in the database. This process generated a dNBR threshold of
0.084, which minimized 30 m site-level commission and omission errors to
6.6 % (Fig. S2).</p>
      <p id="d1e561">We then created a mask at 30 m to account for unburnable land cover (i.e.,
non-vegetated pixels). This was created using two sources: the Joint
Research Center's yearly water history product (Pekel et al., 2016) and the 2010 land cover product of the North American Land Change Monitoring System (NALCM) at 30 m resolution (Latifovic et al., 2012). The first product
allowed us to capture transient water pixels in our time series, while the
NALCM land cover product classified each pixel into 19 different land cover
classes, from which we masked out non-vegetated pixels, including ice, water,
barren land, and cropland. These two sources were combined into separate masks for
each year between 2001–2019. Because areas that burned in 2010 were often
classified as barren lands in the 2010 NALCM product, we considered barren
lands to be vegetated in our mask for the year 2010.</p>
      <p id="d1e565">Using the vegetation mask and the dNBR threshold, we created a binary
burned/unburned 30 m Landsat product and upscaled this to the native MODIS
500 m resolution and projection. To determine whether or not a given 500 m
pixel was classified as burned or unburned, we calculated the percentage of
30 m vegetated pixels that burned within its footprint. If more than 50 %
of the 30 m vegetated pixels within the larger 500 m pixel burned (i.e.,
were tripped by the dNBR threshold), the entire pixel was assigned as
burned, and the burned fraction was calculated as the percent of the
burnable land cover (vegetation) in the 500 m pixel. Note we did not use the
percent of burned 30 m pixels to determine burn<?pagebreak page2789?> fraction within a given 500 m pixel, primarily because of limitations imposed by frequently missing
Landsat imagery (detailed below).</p>
      <p id="d1e568">We used this approach whenever 500 m pixels contained 100 % coverage by
Landsat imagery at 30 m. When, however, there was less than 100 % Landsat
coverage, we needed to determine if it was more accurate to classify 500 m
pixels using Landsat (with partial coverage) or MODIS Collection 6 imagery
(Vermote and Wolfe, 2015a, b). To do so, we analyzed all MODIS pixels
with complete Landsat coverage and masked out increasing numbers of Landsat
pixel strips within the larger MODIS footprint (using increments of 5 %).
After each removal of Landsat pixels, we compared the accuracy of the
resulting burned/unburned classification using (i) Landsat imagery with
partial coverage and (ii) MODIS imagery. This procedure suggested that using
MODIS dNBR was more accurate than Landsat when less than 85 % of a 500 m
MODIS pixel was covered by Landsat imagery. We therefore used Landsat to
classify burned pixels when at least 85 % of a 500 m pixel was covered by
Landsat imagery and otherwise used MODIS. Burned pixels were assigned a
quality flag of 0 when there was complete Landsat coverage; a quality
flag of 1 when Landsat coverage was less than 100 % but greater than
85 %; and a quality flag of 2 when Landsat coverage was less than 85 %,
and therefore MODIS imagery was used to classify burn status. Overall,
81 % of total burned pixels were derived using Landsat (66 % from full
coverage and 15 % from partial coverage), although particular regions
(notably Alaska and Newfoundland and Labrador) tend to rely more on MODIS
due to more limited availability of Landsat imagery (Fig. S3).</p>
      <p id="d1e571">We developed a correction factor for MODIS-based dNBR to account for
differences between Landsat and MODIS NIR and SWIR spectra, as well as the
influence of vegetation fraction on 500 m dNBR signals. To do so, we
calculated pre- and post-fire NIR and SWIR bands from MODIS and Landsat
(resampled to 500 m) for a 50 % random sample of burned pixels. We then
differenced the Landsat 500 m resampled bands from the 500 m MODIS bands and
regressed them onto vegetation fraction to obtain a correction factor. The
regression yielded an <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.74 and an equation of <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>,
which was applied to all pixels where burn status was classified by MODIS.
We then calculated a new dNBR threshold to classify pixels at 500 m in an
unbiased manner. To do so, we determined the MODIS dNBR threshold that
evenly split omissions and commissions based on pixels mapped with complete
Landsat coverage. This threshold was determined to be 0.0725, resulting in
an omission/commission error of 14.2 % at 500 m when using MODIS.</p>
      <p id="d1e603">One issue with a burned-area mapping approach such as ours that utilizes
post-fire imagery 1 year after a fire is that it is difficult to determine
the year(s) of burn where overlapping burns occurred in successive years. To
address these cases, we created a seasonal MODIS-based product following the
methodology of Giglio et al. (2018). The dNBR for each day between 15 January
and 15 December was calculated using the 30 preceding days
as pre-fire NBR and the 30 d after as post-fire NBR. Any pixels with fewer
than 10 valid observations in either window were masked out. We used a
similar thresholding approach to that described above for mapping burned
pixels with MODIS, resulting in a seasonal dNBR threshold of 0.23. Any pixel
mapped using the MODIS seasonal approach was assigned a quality flag of
3.</p>
      <p id="d1e606">In addition to determining fire locations, fire year, and the burned
fraction, we also determined the day of burning for each pixel. When
possible, day of burn was taken directly from the thermal-anomaly active-fire detections from MOD14A1 Collection 6 and MYD14A1 Collection 6 (Giglio
et al., 2018) active-fire products. Where an active fire was registered, day
of burn was assigned by taking the earliest active-fire acquisition during
the year. When an active fire was not registered for a given burned pixel,
we utilized a multi-tiered approach to assign day of burn. When possible, we
used a kriging technique to interpolate day of burn using the active-fire
detections within each fire polygon in the NLFD following Veraverbeke et al. (2015). To implement this, we required fire polygons to contain at least
five active-fire acquisitions within their boundaries and have some level of
temporal variation (i.e., not all active-fire acquisitions on the same day).
When this was not the case, day of burn was assigned using the closest
active-fire pixel. Finally, when no active-fire acquisitions were associated
with a given fire polygon, we used our MODIS-based seasonal mapping approach
to determine day of burn by locating the day of maximal dNBR within a given
year. For fires that were detected by MODIS thermal anomalies but were not
contained in the NLFD (7 % of all burned area), we created our own
polygons around the burned pixels (by converting pixels to vectors and
buffering them) and used the same method to assign day of burn. Quality
flags for our burn day product represent this tiered approach, with a flag
of 0 for pixels with direct active-fire hits, a flag of 1 for pixels
whose day of burn was determined by interpolation, and a flag of 2 for
pixels whose day of burn was determined using the MODIS seasonal burned-area
product. A simplified flowchart of burned-area processing methods is shown
in Fig. S4.</p>
      <p id="d1e609">We compared ABoVE-FED burned area to several other products including the
NLFD, NBAC, MCD64A1 Collection 5, MCD64A1 Collection 6, the Alaska Fire
Emissions Database version 2 (AKFED; Veraverbeke et al., 2017), GFED4s (van
der Werf et al., 2017), a 500 m model by van Wees et al. (2022), and the Fire
Model Intercomparison Project (FireMIP; Hantson et al., 2016; Rabin et al.,
2017; Table S1 in the Supplement). NBAC is a Canada-only product and is related to the CNFD
but improves upon it by incorporating multi-sensor remote sensing imagery
(including Landsat) to account for waterbodies and unburned vegetation
patches. FireMIP includes simulations performed by coupled fire–vegetation
models forced with a standardized set of input data. We also visually
compared our product and<?pagebreak page2790?> others to high-resolution imagery of fires from the
WorldView-2 (1.84 m) satellite, available through DigitalGlobe, Inc., a
Maxar company under the NextView license agreement through the National
Geospatial Intelligence Agency (Neigh et al., 2013).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Combustion and burn depth models</title>
      <p id="d1e620">We built and applied statistical models of aboveground combustion,
belowground combustion, and burn depth to every mapped burned pixel in the
ABoVE domain based on field observations across Alaska and western Canada
(Walker et al., 2020a). Because not all field sites included estimates of
both aboveground and belowground combustion, we created two separate combustion
models, one utilizing all available aboveground combustion measurements (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">515</mml:mn></mml:mrow></mml:math></inline-formula>) and one utilizing all available belowground combustion measurements
(<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">769</mml:mn></mml:mrow></mml:math></inline-formula>). Our burn depth model utilized the same field sites as
belowground combustion. Further discussion of models implemented can be
found in the Supplement.</p>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Predictor variables</title>
      <p id="d1e654">Combustion and burn depth measurements from Walker et al. (2020a) were
related to a variety of spatial predictors including remotely sensed
indicators of fire severity, topography, soils, climate, and fire weather. We
initially acquired 75 covariates associated with environmental conditions
such as long-term climate, fire weather, topography, vegetation type, soil
type, remotely sensed vegetation indices (e.g., normalized difference
vegetation index, NDVI; Tucker, 1979), and permafrost condition (Table S2).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Climate variables</title>
      <p id="d1e665">Long-term climate was acquired from ClimateNA (CNA; Wang et al., 2016; Table S2), which provides point estimates of mean climate from 1981–2010 based
on the Climate Research Unit (CRU; Mitchell and Jones, 2005). ClimateNA uses
finer-resolution PRISM (Daly et al., 2002, 2008) and ANUSPLIN (Hutchinson,
1989) climate normals to downscale coarse-resolution monthly climate data to
a <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> km grid, followed by bilinear interpolation and a
locally derived elevation adjustment to estimate point data. CNA variables
were represented as both annual and summer means (June–August) and were
included to capture the influence of long-term climate on vegetation, fuel
loads, and fuel moisture, which drive combustion (Walker et al., 2020b).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><title>Fire weather indices</title>
      <p id="d1e688">Fire weather indices (FWIs) represent the meteorology at the timing of fire
occurrence and have been associated with fire behavior and carbon emissions
due to their influence on fuel moisture and fire spread (e.g., Di Giuseppe et
al., 2018; French et al., 2011; Ivanova et al., 2011; Veraverbeke et al.,
2017). We acquired FWIs from the Global Fire Weather Emissions Database
(GFWED v2.0; Field et al., 2015) at 0.5<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.66<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
resolution. FWI information was extracted for the day of burn for all fires
in the field database. Since FWI data were not available for all burned
pixels in our fire product due to missing data in the shoulder seasons, we
developed two versions of our aboveground combustion, belowground
combustion, and burn depth models: a primary model that included FWIs in
training and a secondary one that did not. Mapped pixels from the primary
model were assigned a quality flag of 0, and pixels from the secondary
model were assigned a flag of 1. Of the 2 123 730 pixels that burned
between 2001–2019, 4.4 % did not have FWI data available and
necessitated the use of these secondary models.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS4">
  <label>2.4.4</label><title>Environmental variables</title>
      <p id="d1e725">We acquired a variety of environmental covariates related to soils,
topography, vegetation type, and permafrost occurrence (Table S2). Soil
properties were taken from SoilGrids at 250 m resolution (Hengl et al.,
2017), including percent clay (0–2 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m), silt (2–50 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m),
sand (50–2000 <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), coarse material (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2000</mml:mn></mml:mrow></mml:math></inline-formula> <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),
bulk density (g cm<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), soil organic carbon stock (t ha<inline-formula><mml:math id="M24" 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
soil water pH. We integrated all variables across the top 30 cm of the soil
profile.</p>
      <p id="d1e795">Topographic variables, including elevation (m), aspect (<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), and
slope (<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), were derived from a 10 m digital elevation model
(DEM) of the ABoVE domain, which, in turn, was derived from a higher-resolution Arctic DEM (Porter et al., 2018) and gap-filled with additional
DEM datasets (Burns et al., 2023). This 10 m DEM was resampled to 500 m, and then aspect and slope were both calculated as the local gradient of
the four connected neighbors of each pixel. After resampling to 500 m we
also calculated a topographic wetness index (TWI) for each pixel that
represents soil drainage patterns based on the slope and upslope area
draining through a particular point (Beven and Kirkby, 1979).</p>
      <p id="d1e816">Vegetation type was represented by the percent cover over seven broad
classes, including black spruce (<italic>Picea mariana</italic>), white spruce (<italic>Picea glauca</italic>), jack pine (<italic>Pinus banksiana</italic>), deciduous
broadleaf species, other conifers, grasslands, and non-vegetated areas (Beaudoin et
al., 2014; Ottmar et al., 2007). We use pre-fire tree cover (Sexton et al.,
2013) from either 2000, 2005, 2010, or 2015, depending on fire year.</p>
      <p id="d1e828">Lastly, we acquired a permafrost zonation and a surface roughness index,
which is a measure of terrain complexity (Gruber, 2012).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS5">
  <label>2.4.5</label><title>Remotely sensed variables</title>
      <p id="d1e839">We derived numerous remotely sensed vegetation indices from Landsat,
including the NDVI, the normalized difference infrared index (NDII;
Hardisky et al., 1983), dNBR (Key and Benson, 2006), the relative
difference normalized burn ratio (RdNBR; Miller and Thode, 2007), the
relativized burn ratio<?pagebreak page2791?> (RBR; Parks et al., 2014), tasseled cap greenness,
wetness and brightness (Kauth and Thomas, 1976), and pre-fire tree cover
(Sexton et al., 2013). NDVI, NDII, and tasseled cap indices were acquired as
a mean composite between 15 May and 15 June in the post-fire
years, while dNBR, RdNBR, and RBR were based on mean composites between 1 June
and 31 August for both the pre- and post-fire years.</p>
      <p id="d1e842">For model training all remotely sensed variables were extracted from Landsat 5–8 Tier 1 surface reflectance at 30 m with clouds, cloud shadows, and snow
masked out using the C Function of Mask algorithm (CFMask; Foga et al., 2017). We
applied corrections due to spectral differences between Landsat 8 and 7
using a regression technique (Roy et al., 2016). Although our model was
trained with Landsat imagery at 30 m, we predicted combustion and burn depth
at 500 m across the domain using MODIS imagery. All MODIS variables were
extracted in Google Earth Engine at ideal MODIS quality flags (bit flag of
0). We then implemented a correction factor to account for sensor and
spatial-scaling issues in model predictions (Sect. 2.4.7).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS6">
  <label>2.4.6</label><title>Feature selection and model comparisons</title>
      <p id="d1e853">We reduced our initial 75 covariates to an optimal number using recursive
feature elimination (Guyon et al., 2002). Recursive feature elimination
iteratively removes variables until a desired number remains, which in this
case is defined by the number of covariates necessary to achieve the minimum
root mean square error (RMSE). Recursive feature elimination achieves this
by fitting a secondary machine learning model that can rank features by
importance and discards the least important ones at each iteration. We used
a random forest (Breiman, 2001) as the measure of importance and repeated our
recursive feature elimination three times across a 5-fold
cross-validation to determine the optimal subset of covariates (Table S2).
For the primary aboveground combustion, belowground combustion, and burn
depth models, the optimal number of variables was 15, 45, and 40 (Fig. S5), respectively, and for the secondary models the optimal number of
variables was 15, 64, and 48. While it is possible a similar RMSE could have
been achieved with reduced model complexity (reduced number of variables),
we chose to directly use RMSE reduction as our threshold for feature
selection.</p>
      <p id="d1e856">We then tested a suite of statistical models across the selected feature
space to compare predictive power. For each model, we searched for optimal
model parameters using a 10-fold cross-validation repeated three times and a
random search grid of length 10 (i.e., for any given model parameter, 10 random numbers were selected per parameter and tested for each parameter
combination). After optimizing model parameters, we compared final model
fits with a 10-fold cross-validation repeated 100 times. After comparing the
median <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> for each model across these 1000 iterations, we selected the
best-performing model and chose it for the final model implementation. All
model training took place in R (R Core Team, 2021). In all cases
the best-performing model was a ranger random forest, although there were
differences in the optimal parameters chosen (Table S3).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS7">
  <label>2.4.7</label><title>Spatial scaling</title>
      <p id="d1e878">Our combustion and burn depth models were developed using site-level data
(most plots utilized a 30 <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 m design) and geospatial predictors
at their native resolution, including a variety of 30 m Landsat indices.
However, our spatial model was applied at 500 m to match the resolution of
our burned-area product, ultimately because missing imagery prevented
comprehensive burned-area mapping at 30 m. To explore potential issues
associated with implementing the model at these different spatial scales, we
randomly sampled two hundred 500 m pixels from each year in 2004, 2006,
2012, 2014, and 2015 for a total of 1000 pixels. We then implemented our
combustion and burn depth models at both 30 and 500 m to assess biases and
errors introduced by both spatial and sensor differences. When models were
assessed at 30 m, all predictor variables were acquired at their native
resolutions (Table S2); when models were assessed at 500 m, all variables
were resampled to 500 m. Any variables described in Sect. 2.4.5 that were
derived from Landsat were instead collected at 500 m from MODIS (using
MOD09A1 Collection 6 and MYD09A1 Collection 6). We used MODIS-provided
quality flags to select pixels that were corrected at ideal quality and
masked out clouds and snow. All other variables were resampled to 500 m
using bilinear interpolation if the native resolution was <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m
and using mean values within pixel boundaries if the native resolution was
<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m. We then compared the predictions at 500 m resolution to the
mean across all the 30 m sub-pixels and built type 2 linear regression
models to correct for potential biases. The coefficients from these models
were then used to adjust the final predictions for the combustion models
across the full domain.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS8">
  <label>2.4.8</label><title>Combustion and burned-depth predictions and quality flags</title>
      <p id="d1e916">Predictor variables for all burn pixels across the domain were collected in
Google Earth Engine. Since the ideal MODIS quality flag criteria (Sect. 2.4.5) left 0.31 % of the total burned pixels missing, we collected
predictors for these pixels with no MODIS quality flag applied and assigned
our own quality flag to distinguish these samples. We provide four separate
quality flags indicating whether our primary or secondary models (no FWIs)
were implemented and whether MODIS quality flags were applied. Our four
flags have the following associations: flag 1 – primary model with MODIS
quality flag criteria (95.32 % of pixels), flag 2 – primary model with
no MODIS quality flag criteria (0.26 % of pixels), flag 3 –
secondary model with MODIS quality flag<?pagebreak page2792?> criteria (4.37 % of pixels), flag
4 – secondary model with no MODIS quality flag criteria (0.05 % of
pixels).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS9">
  <label>2.4.9</label><title>Monte Carlo analysis</title>
      <p id="d1e927">To derive a measure of prediction uncertainty, we implemented a Monte Carlo
analysis with 500 simulations that incorporated uncertainty from both the
field-measured combustion and the random forest models. Our approach was
based on techniques implemented in Rogers et al. (2014), Veraverbeke et al. (2015), Walker et al. (2018), and Dieleman et al. (2020). To account for
uncertainty in field estimates of belowground combustion, we used the
standard error in observed site-level combustion when it was available. In
total, 271 field sites recorded standard error: 22 in Alaska, 47 in
Saskatchewan, and 202 in the Northwest Territories. Standard error was
estimated for both aboveground and belowground combustion in Alaska and
Saskatchewan and only for belowground in the Northwest Territories. For
each Monte Carlo simulation, we derived an adjustment factor by multiplying
a site's standard error by a random number from a normal distribution with a
standard deviation of 1 and centered around 0. This resulting number
was then added to the measured combustion.</p>
      <p id="d1e930">Uncertainty in aboveground combustion in the Northwest Territories was
calculated by first creating a random bias for the percent carbon content of
trees (central estimate of 0.5), which varied randomly within a normal
distribution with 3 % standard deviation systematically across all trees
measured for each Monte Carlo simulation (based on Rogers et al., 2014). We
similarly included a 20 % error in visual estimates of tree consumption
(Dieleman et al., 2020; French, 2004; Walker et al., 2018), which also
varied systematically across all trees measured. Aboveground combustion in
each simulation was then altered using these adjustment terms (adding the
carbon fraction adjuster and multiplying the tree consumption adjuster).</p>
      <p id="d1e933">Since these procedures only accounted for uncertainty of 271 of the possible
samples, uncertainty for the remaining 245 aboveground and 499 belowground
samples was derived using an alternate approach. To do so, we first linearly
regressed the aboveground and belowground combustion standard error derived
from Monte Carlo simulations against measured aboveground and belowground
combustion, respectively. The coefficients from these two separate models
were then used to predict the standard errors for all remaining samples
(Fig. S6).</p>
      <p id="d1e936">In addition to uncertainty in field measurements, there is also uncertainty
in the random forest model used to predict combustion across the ABoVE
domain. To account for this, we leveraged the fact that model residual
errors tended to increase in proportion to combustion level, similar to
Rogers et al. (2014) and Dieleman et al. (2020). To estimate this
relationship, we split the original model predictions (from the 10-fold
cross-validation repeated 100 times) into 15 bins based on quantiles of
total combustion and then calculated the standard deviation of the residual
error within each bin. We then used a general additive model to smooth the
standard deviation of the residuals across the bins (Fig. S7). For each of
the 500 Monte Carlo simulations using adjusted field estimates of combustion
(derived from procedures described above), new random forest model
predictions were assigned a standard error based on total combustion using
the smoothed relationship. These standard errors were then multiplied by a
random bias factor with a standard deviation of 1 centered around 0,
which was then added back into the combustion predictions to derive a final
uncertainty estimate for each predicted combustion pixel across the ABoVE
domain.</p>
      <p id="d1e940">We quantified uncertainty in our predictions in three ways: (1) pixel-level
uncertainty, (2) uncertainty in mean combustion, and (3) uncertainty in total
emissions for a given region of interest. In each case, uncertainties
derived from the Monte Carlo simulations were adjusted by the ratios of mean
combustion from the primary model to that of the Monte Carlo simulations in
order to account for different mean combustion levels, and hence emissions,
between the models (which were minor). (1) Pixel-level uncertainty was
calculated as the standard error in combustion for a given pixel across the
Monte Carlo simulations. (2) Uncertainty in mean combustion for a given
region was calculated as the standard error in mean combustion across the
500 Monte Carlo simulations for that region. In this case note that mean
combustion was calculated by weighting pixels by their vegetated (burned)
fractions. (3) Uncertainty in total emissions for a given region of
interest was calculated as the standard error in total emissions for that
region across the 500 Monte Carlo simulations. A simplified flow chart of
the combustion/burned-depth modeling methodology is shown in Fig. S8.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Relationships between belowground fire severity, annual burned area, and timing of burn</title>
      <p id="d1e953">Turetsky et al. (2011) discovered a positive relationship between burn
depth, annual burned area, and timing of burn (day of year) in black spruce
forests and peatlands of interior Alaska and also noted the influence of
burn timing was more important in small-fire years. To test if these
relationships held true with a larger field database in Alaska (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">286</mml:mn></mml:mrow></mml:math></inline-formula>
for ABoVE-FED compared to <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">178</mml:mn></mml:mrow></mml:math></inline-formula> in Turetsky et al., 2011), we performed
a multiple regression of burn depth and belowground combustion using annual
burned area and day of year as predictor variables. We also tested how burn
depth and belowground combustion varied as a function of day of year within
both small- and large-fire years. To do so, we split the field sites in
Alaska into four quantiles based on annual burned area and then regressed
burn depth and belowground combustion against day of year within each
quantile. We also conducted this analysis using a sample of 500 ABoVE-FED
pixels in Alaska instead of field observations and then<?pagebreak page2793?> repeated both of
these analyses using all available field observations and 500 random pixels
within the broader ABoVE domain. In each case, we sampled 500 pixels instead
of using all available pixels to minimize the effect of large sample sizes
on <inline-formula><mml:math id="M33" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Burned area</title>
      <p id="d1e1003">Temporally there was high variability in burned area year to year (Fig. 2a). Across the domain, ABoVE-FED reported similar burned-area totals
compared to the NLFD (average of 2.87 Mha yr<inline-formula><mml:math id="M34" 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> for ABoVE-FED compared to
2.90 Mha yr<inline-formula><mml:math id="M35" 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> for NLFD; Fig. 3), although there was variability in
this relationship (NLFD estimated larger annual burned area in 11 years and
smaller burned area in 8 years between 2001–2019). This was the net
result of two contrasting patterns: ABoVE-FED tended to report less burned
area within mapped polygons, due to unmapped unburned patches and unburnable
land cover (e.g., small waterbodies) in the government fire databases, but
detected additional burned areas associated with MODIS active-fire
acquisitions well outside mapped fire polygons (7 % of total burned area
in ABoVE-FED, 6 % of total emissions; Fig. S9). The state/territory with
the most burned area detected outside the mapped polygons was British
Columbia (31 % of the 7 % total burned area mapped outside NLFD
polygons; Fig. S9). Exploratory analysis revealed this was likely a
result of commission errors due to logging (i.e., logged areas tripping dNBR
thresholds in conjunction with small fires registered by MODIS active-fire
hits). Across the domain, the mean fire size coincident with NLFD polygons
was much larger (4954 ha) than the mean fire size outside the polygons (166 ha). Because the NBAC product accounts for more of these unburned patches
within polygons (Hall et al., 2020), it tended to report lower total burned
area compared to ABoVE-FED (Fig. S10). ABoVE-FED burned area was higher
than MCD64A1 (Collection 5 and 6; Fig. 3) in all years, which is
consistent with known omissions in these global products for boreal North
America (Giglio et al., 2018; Randerson et al., 2012; Fig. S11). These
large-scale patterns were corroborated by high-resolution imagery of
particular fire events (Figs. 4, S12–S19). ABoVE-FED identified more
burned pixels than MCD64A1 Collection 6 by being more sensitive to
fire-induced spectral changes but also accounted for unburnable portions of
the landscape (Fig. S20). GFED4s burned area was slightly higher (Fig. S21; average of 2.38 Mha yr<inline-formula><mml:math id="M36" 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> during 2001–2016) than both MODIS products
(Fig. 3; average of 2.93 Mha yr<inline-formula><mml:math id="M37" 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> during 2001–2016), but lower than
the NLFD and ABoVE-FED (Fig. 3). The MCD64A1 Collection 5 and Collection 6
and GFED4s databases underestimated burned area by 32 %, 23 %, and 18 %
compared to ABoVE-FED, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1056">Temporal variability in ABoVE-FED burned area <bold>(a)</bold> and emissions <bold>(b)</bold> from 2001–2019.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1073">Comparison of ABoVE-FED burned area across Canada and Alaska to
MODIS MCD64A1 Collection 5 (C5), MCD64A1 Collection 6 (C6), and the Alaskan
and Canadian National Fire Databases (NFDB).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f03.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1085">Comparison of high-resolution imagery and burned-area products for
a fire in Manitoba in 2014 <bold>(a)</bold>. Panels show WorldView-2 imagery (fire
shown in purple shades) <bold>(b)</bold>, ABoVE-FED <bold>(c)</bold>, MODIS Collection 6 <bold>(d)</bold>, MODIS
Collection 5 <bold>(e)</bold>, and the  Canadian National Fire Database <bold>(f)</bold>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f04.jpg"/>

        </fig>

      <p id="d1e1113"><?xmltex \hack{\newpage}?>ABoVE-FED burned area was similar to AKFED where it was available (Alaska,
the Northwest Territories, and the Yukon Territory; Fig. S22; average of
1.27 Mha yr<inline-formula><mml:math id="M38" 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> for ABoVE-FED during 2001–2015 compared to 1.22 Mha yr<inline-formula><mml:math id="M39" 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> for AKFED). All models participating in FireMIP simulated smaller
burned area than ABoVE-FED, and with a very high level of variability
between models (1.34 <inline-formula><mml:math id="M40" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.83 Mha yr<inline-formula><mml:math id="M41" 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> across Alaska and Canada
during 2001–2012; Fig. S23a).</p>
      <p id="d1e1160">Burned area was highly variable interannually (Figs. S21, S24), with the largest-fire years
occurring in 2004 in Alaska and the Yukon Territory; 2015 in Alaska,
Saskatchewan, and Alberta; 2014 in the Northwest Territories; and 2013 in
Manitoba and Quebec. Across states, provinces, and
territories, total burned area was highest in Alaska, the Northwest
Territories, and Saskatchewan. A total of 54 Mha burned across Alaska and
Canada during all years, and 45 Mha burned in the ABoVE domain, with an annual mean
of 2.87 Mha yr<inline-formula><mml:math id="M42" 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> across Alaska and Canada and 2.37 Mha yr<inline-formula><mml:math id="M43" 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> in the
ABoVE domain.</p>
      <p id="d1e1187">Spatially ABoVE-FED estimated the most burned area in Alaska, the
Northwest Territories, and Saskatchewan (Figs. 5a, S21, S24).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1192">Total burned area <bold>(a)</bold>, total carbon emissions <bold>(b)</bold>, mean combustion <bold>(c)</bold>, and mean burn depth <bold>(d)</bold> between 2001–2019 aggregated to a 70 km grid.
Note that burned area <bold>(a)</bold> covers all of Alaska and Canada, whereas all other
metrics cover the ABoVE extended domain.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f05.jpg"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2794?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Combustion and burn depth models</title>
      <p id="d1e1226">Our aboveground and belowground combustion models performed well, although
the aboveground model performed significantly better across the suite of
models examined (Fig. 6a, b). A ranger random forest model (Wright and
Ziegler, 2017) performed best for aboveground and belowground combustion,
with a median <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.46 and 0.25, respectively, across the 10-fold cross-validation repeated 100 times. Our secondary models that did not include
information on FWIs (Sect. 2.4.3) performed similarly to our primary
models, with <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values for aboveground and belowground combustion of 0.45 and
0.24, respectively. Although both the aboveground and belowground models
performed reasonably well at predicting lower and moderate combustion
values, which includes the majority of field observations, they both
struggled to predict larger combustion values (Fig. S25a, b). The burn
depth model performed better than both combustion models, with a median
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.53 using a ranger random forest model (Fig. 6c).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1264">Comparison of the spread and median <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values across a
10-fold cross-validation repeated 100 times for our aboveground combustion <bold>(a)</bold>, belowground combustion <bold>(b)</bold>, and burn depth <bold>(c)</bold> models. Models compared
include a ranger random forest (ranger), a quantile random forest (quantile), radial support vector machines (svmradial), polynomial support vector
machines (svmpoly), linear support vector machines (svmlinear), ridge
regression (ridge), and lasso regression (lasso).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f06.png"/>

        </fig>

      <p id="d1e1293"><?xmltex \hack{\newpage}?>There were notable differences in the feature importance of the aboveground
and belowground models (Fig. S26a, b). The aboveground model was heavily
influenced by its top predictor, pre-fire tree cover, followed by metrics of
relative humidity, with other variables including remotely sensed fire
severity and vegetation moisture content having significant but relatively
low importance. In contrast, the belowground model was influenced strongly
by a number of soil, terrain, climate, and tree cover variables. The most
important features for the burn depth model were similar to the belowground
model, with soil properties, tree cover, and climate being the most
influential (Fig. S26c). Overall, the distribution of variables used in
the training dataset and predicting dataset were similar (Fig. S27), with
the exception of slope. Most field sites were located in relatively flat
terrain, whereas the combustion predictions included locations with steeper
terrain.</p>
      <p id="d1e1298">Spatial patterns of mean burn depth and combustion tended to follow a
gradient of higher burn depth and mean combustion in the western part of the
ABoVE domain (Alaska, Yukon Territory, and Alberta) to lower mean combustion
in central–western Canada (Saskatchewan, Northwest Territories, and
Manitoba) (Figs. 5c, d, S28). There was, however, considerable
fine-scale variability at 500 m within these regions (Fig. 7), and spatial
patterns were relatively consistent with previous combustion mapping
efforts.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1303">Comparison of Alaskan fires in 2004 <bold>(a)</bold> for ABoVE-FED <bold>(b)</bold> and
AKFED <bold>(c)</bold>, the Northwest Territories fires in 2014 <bold>(d)</bold> for ABoVE-FED <bold>(e)</bold> and
Walker et al. (2018) <bold>(f)</bold>, and the Saskatchewan fires in 2015 <bold>(g)</bold> for ABoVE-FED <bold>(h)</bold> and Dieleman et al. (2020) <bold>(i)</bold>. Basemap sources: Esri, ©OpenStreetMap Contributors, HERE, Garmin, USGS, EPA, NPS, NRCran.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f07.jpg"/>

        </fig>

      <p id="d1e1340">Across the ABoVE domain, 1.51 <inline-formula><mml:math id="M48" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.53 Pg C was emitted over the 2001–2019
period, with a mean of 79.3 <inline-formula><mml:math id="M49" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 27.96 Tg C yr<inline-formula><mml:math id="M50" 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>. Mean combustion
across all years and regions was 3.13 <inline-formula><mml:math id="M51" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.17 kg C m<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Pixel-level
uncertainty (Fig. S29) tended to follow spatial patterns of mean
combustion (Fig. 5c) and was relatively consistent across years (Fig. S30), with a mean value of 2.86 kg C m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Seasonally, the majority of
burned area occurred during June, July, and August (Fig. 8), although there
were substantial regional differences, with some regions recording a large
fraction of burned area outside this window (e.g., May fires in Alberta). In
general, monthly patterns in emissions (Fig. S31) followed patterns in
burned area. Overall, combustion tended to be highest in summer compared to
spring and fall fires, although this pattern was most pronounced in the
Yukon Territory, Northwest Territories, Saskatchewan, and Alaska (Fig. S32).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1403">Monthly burned area across states and Canadian provinces and
territories between 2001–2019. January, February, November, and December have
been omitted due to low fire occurrence (less than 2 % of total burned
area between 2001–2019).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2785/2023/bg-20-2785-2023-f08.png"/>

        </fig>

      <?pagebreak page2796?><p id="d1e1412">Estimates of total carbon emissions in ABoVE-FED were similar to AKFED
(Fig. S22, Table S4), with the notable exception of 2014 in the Northwest
Territories: AKFED estimated 164 Tg C, and ABoVE-FED estimated 89.7 Tg C.
This was primarily a result of differences in mean modeled combustion in the
Northwest Territories 2014 fires, with AKFED exhibiting its highest mean
combustion in 2014 (Fig. S21; 4.81 kg C m<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in AKFED compared to 2.89 kg C m<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ABoVE-FED). In general, ABoVE-FED estimated slightly higher
mean combustion levels than AKFED in Alaska (3.34 kg C m<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ABoVE-FED
and 3.03 kg C m<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in AKFED), lower combustion in the Northwest
Territories (3.29 kg C m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ABoVE-FED and 3.44 kg C <inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
AKFED), and substantially higher combustion in the Yukon Territory (3.71 kg C m<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ABoVE-FED and 2.26 kg C m<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in AKFED) (Fig. S22, Table S4). ABoVE-FED carbon emissions were relatively similar to Walker et al. (2018) for the 2014 Northwest Territories fires and to Dieleman et al. (2020) for the 2015 Saskatchewan fires (Fig. 7, Table S4). Total carbon
emissions from ABoVE-FED were substantially higher than GFED4s (Fig. S33),
with the largest differences occurring in Alaska. This was primarily a
function of higher mean combustion values in ABoVE-FED compared to GFED4s
(Fig. S34). Between 2001–2016, ABoVE-FED estimated 80 Tg C yr<inline-formula><mml:math id="M62" 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> total
emissions with a mean combustion value of 3.39 kg C m<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and GFED4s
estimated 51 Tg C yr<inline-formula><mml:math id="M64" 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> total emissions with a mean combustion value of
2.30 kg C m<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Table S4). However, more recently a 500 m model by van
Wees et al. (2022) was completed, and both emissions and combustion match more
closely to ABoVE-FED. Between 2002–2019 this 500 m product estimates 73 Tg C yr<inline-formula><mml:math id="M66" 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> total emissions (Fig. S33) with a mean combustion value of 3.38 kg C m<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. S34). Meanwhile, between 2002–2019 ABoVE-FED
estimates 83 Tg C yr<inline-formula><mml:math id="M68" 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> total emissions with a mean combustion value of
3.16 kg C m<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Compared to GFED4s these larger emission and
combustion estimates in the 500 m product are largely due to increased
estimates of belowground combustion, as the van Wees et al. (2022) model is
informed by the same field measurements used in ABoVE-FED.</p>
      <p id="d1e1610">Differences in combustion and carbon emissions were very large between
ABoVE-FED and fire–vegetation models participating in FireMIP (Fig. S23b).
ABoVE-FED estimated much higher emissions than FireMIP (70.1 Tg C yr<inline-formula><mml:math id="M70" 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>
for ABoVE-FED during 2001–2012 compared to 4.0 Tg C yr<inline-formula><mml:math id="M71" 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> for FireMIP).
This is likely because models in FireMIP mostly combust aboveground
vegetation, whereas combustion from belowground sources (primarily soil
organic matter) comprises 90 % of total carbon emissions in ABoVE-FED
(Fig. S35) and 88 % in the field plots from Walker et al. (2020a).
ABoVE-FED mean aboveground combustion (7.84 Tg C yr<inline-formula><mml:math id="M72" 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> during 2001–2012)
was much more similar to FireMIP's 4.0 Tg C yr<inline-formula><mml:math id="M73" 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>.</p>
      <p id="d1e1661">We found multiple lines of evidence that belowground fire severity (burn
depth and belowground combustion) is positively related to annual burned
area and seasonal day of burn (Tables S5, S6). In general, mean annual burned
area had a stronger relationship with fire severity than did burn day of
year using multiple linear regression. However, within quantiles of annual
burned area (i.e., small- vs. large-fire years), day of year was strongly
related to fire severity (particularly belowground combustion), and the
slope of this relationship was generally larger in small-fire years (Table S6). When assessed using domain-wide mean severity from mapped ABoVE-FED
pixels, we found no significant relationship of burn depth with burned
area or combustion (Fig. S36).</p>
      <p id="d1e1664">There were also no significant (<inline-formula><mml:math id="M74" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M75" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.10) trends in burned
area, combustion, or emissions across the 2001–2019 time series (Figs. 2a, b, S37).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Burned area</title>
      <p id="d1e1697">Our approach to mapping burned area across boreal North America has several
advantages compared to past approaches. Although our burned-area product is
at 500 m resolution, the majority of pixels (81 %) were mapped using 30 m
Landsat imagery. Using finer-scale 30 m imagery allowed us to directly
calibrate dNBR thresholds to site-level information and account for
unburnable fractions of 500 m pixels. We also calibrated these dNBR
thresholds for both 30 m Landsat and 500 m MODIS imagery to most effectively
balance omissions and commissions. This allowed us to provide an unbiased
estimate of burned area, which is a critical variable for understanding the
impacts of fire on arctic–boreal ecosystems and climate.</p>
      <p id="d1e1700">In theory, ABoVE-FED burned area would be expected to be higher than other
available products because of its increased sensitivity to fire-induced
spectral changes (compared to, for example, global MODIS burned-area
products, via our focus on splitting omissions and commissions) and our
accounting for active-fire acquisitions outside mapped fire polygons by the
Alaskan and Canadian government agencies. Alternatively, ABoVE-FED accounts
for sub-pixel heterogeneity of burnable land surfaces, which would otherwise
result in lower burned-area estimates compared to existing products. The net
result is that ABoVE-FED burned area tends to be higher than other products,
but not exclusively.</p>
      <p id="d1e1703">We suggest future research efforts focused on burned-area mapping in
arctic–boreal environments could be conducted at resolutions finer than 500 m. Doing so will allow for improved understanding of fire spread and
behavior patterns<?pagebreak page2797?> and interactions between fire behavior and vegetation/land cover type. Finer-scale mapping should also allow for more accurate
assessments of burned area by accounting for the presence of unburned
patches of vegetation and waterbodies, thereby facilitating increased
understanding of the drivers of fire spread and effects on ecosystem
processes (Hall et al., 2020). Fires have typically been mapped at landscape
scales using 500 m MODIS imagery because of the frequent revisit times
(multiple acquisitions per day). With a resolution of 30 m, Landsat imagery
has been less commonly used for mapping burned area at landscape scales
because the revisit time (16 d) is much longer and because data coverage
can be highly variable regionally and spatially depending on available
downlink stations and cloud cover (Hilker et al., 2009; Ju and Masek, 2016;
Fig. S3), but this revisit frequency is improving with two Landsat
satellites (Landsat 8 and 9) and two Sentinel satellites (2a and 2b) in
orbit, which provide much more frequent overpasses (2–3 d when combined).</p>
      <p id="d1e1706">Similar to ABoVE-FED, approaches for mapping burned area using satellite
imagery have typically relied on image differencing of vegetation indices,
particularly dNBR (French et al., 2015). This requires pre- and post-fire
image pairs and thus compounds issues related to image availability at fine
scales (30 m; Chen et al., 2021). Future burned-area mapping at landscape
scales could potentially be improved by using machine learning. More
specifically, deep learning approaches have been shown to be highly
effective at mapping wildfires across different landscapes and vegetation
types (Jain et al., 2020; Knopp et al., 2020). Convolutional neural
networks, which use a spatial moving window and therefore account for the
spatial characteristics of fire scars (Jain et al., 2020), are particularly
promising. Finally, developing burned-area products in near real time, as
opposed to active-fire-based assessments of hot pixel counts, would help
scientists, fire managers, and society contextualize and potentially
mitigate rapidly progressing fire seasons as they evolve.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Combustion and burn depth models</title>
      <p id="d1e1717">Similar to previous studies (e.g., Veraverbeke et al., 2015), our
aboveground combustion model performed substantially better than our
belowground model. This is due primarily to the challenge of estimating
belowground carbon consumption using remote-sensing-based observations,
which are more sensitive to aboveground properties. For example, the
ABoVE-FED aboveground combustion model was heavily influenced by
remotely sensed properties such as pre-fire tree cover, fire severity
(represented by dNBR), and vegetation wetness (represented by NDII), whereas
the belowground model was strongly influenced by soil metrics, topography,
and solar radiation (Fig. S26). This occurred despite our model utilizing
considerably more field observations (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">515</mml:mn></mml:mrow></mml:math></inline-formula> for aboveground combustion
and 769 for belowground) than past efforts in boreal North America (e.g.,
Dieleman et al., 2020: <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula>; Veraverbeke et al., 2015: <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">126</mml:mn></mml:mrow></mml:math></inline-formula>;
Walker et al., 2018: <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">211</mml:mn></mml:mrow></mml:math></inline-formula>), suggesting an inherently limited capacity
to model belowground combustion using these techniques. Previous analysis of
the field observations we used showed site-level drainage is the dominant
driver of combustion in the ABoVE domain, due in part to the large
contribution towards total combustion from belowground carbon stocks (Walker
et al., 2018, 2020b). We therefore suggest prioritizing the use of
geospatial products that adequately capture drainage, and thereby its impact
on belowground carbon stocks and vulnerability to combustion, for improving
future estimates of carbon emissions from fire disturbance across boreal
North America.</p>
      <p id="d1e1768">Despite these limitations, our model performance is similar to past efforts.
For example, Veraverbeke et al. (2015) reported an aboveground combustion
model fit of <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula> and a belowground fit of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula> for
Alaska. Walker et al. (2018) implemented a 10-fold cross-validation approach
and reported a model fit of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula> for total (aboveground and
belowground) combustion in the Northwest Territories, Canada. Comparatively,
we report a median <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.46 and 0.25 for ABoVE-FED aboveground and
belowground combustion models, respectively. However, model performance was
substantially higher in Dieleman et al. (2020), who reported a
cross-validated <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.73 for total combustion in Saskatchewan. This
is likely due to the higher relative contribution from aboveground
combustion in the younger and more productive boreal forests of southern
Canada, combined with high-quality provincial spatial datasets such as
logging history (Dieleman et al., 2020). In all these cases, spatial
patterns from ABoVE-FED are generally consistent with previous efforts
(Fig. 7), lending confidence to assessments of drivers and spatiotemporal
patterns of combustion.</p>
      <p id="d1e1838">Somewhat surprisingly, our models of burn depth performed better than both
aboveground and belowground combustion models (cross-validated <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula>), which is considerably better than the <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> model fit of 0.40
reported for the burn depth model in Veraverbeke et al. (2015). This suggests
substantial uncertainty in translating burn depth to carbon emissions in
these boreal forests, which underscores the need for improved spatial layers
of soil properties such as bulk density (Houle et al., 2017) and carbon
fraction. The field and laboratory techniques used to calculate carbon
emissions from burn depth also contain uncertainty, which is not always
quantified. These errors are likely compounded when aggregating data across
field campaigns, ecozones, and research groups, such as we did here.
Nevertheless, burn depth is a critical fire severity property in its own
right, with applications ranging from understanding the changing boreal
carbon cycle (Walker et al., 2019) to post-fire succession and vegetation
patterns (Baltzer et al., 2021; Johnstone et al., 2010). Our results suggest
geospatial statistical modeling is well suited for capturing and
extrapolating depth of burn in organic soils, at least within the ABoVE
domain.</p>
      <?pagebreak page2798?><p id="d1e1867">Finally, we assessed the influence of spatial and sensor differences when
building the combustion and burn depth models at 30 m but predicting them at
500 m. Overall, biases introduced by model nonlinearities, sub-grid
heterogeneity, and vegetation fractions were found to be negligible (slope <inline-formula><mml:math id="M87" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.98 for aboveground and 0.97 for belowground combustion when regressing
500 m against aggregated 30 m predictions). This suggests that approaches to
map fire carbon emissions at large scales using 500 m MODIS imagery are not
fundamentally biased because of spatial scale.</p>
      <p id="d1e1878">The machine learning models we employed allow insights into the drivers of
both aboveground and belowground combustion. Partial dependence plots
indicated that aboveground combustion tended to increase when tree cover and
dNBR increased and when relative humidity and vegetation water content
(NDII) decreased (Fig. S38). These patterns are consistent with
understanding of fire behavior and aboveground consumption dynamics, which
are generally driven by aboveground fuels and climate conditions that
facilitate fuel drying and fire spread (Beck et al., 2011; Rogers et al.,
2014; Walker et al., 2020b). Alternatively, belowground combustion increased with
higher silt (and lower sand) content, higher tree cover, and lower relative
humidity (Fig. S39). At moderate slopes (less than 20 %), at which the
majority of field observations were located, belowground combustion was
higher in flatter landscapes. These relationships are consistent with
current understanding about the drivers of soil organic matter accumulation
and vulnerability to combustion (Walker et al., 2018, 2020b; Scholten et
al., 2021). Drivers of burn depth were similar to those for belowground
combustion, with the exception of higher burn depth occurring in areas with
lower extreme maximum temperatures and tasseled cap greenness (Fig. S40).
The former is likely related to deeper burn depths occurring in the northern
portions of the ABoVE domain (Fig. 5d), where long-term maximum
temperatures are generally lower. Tasseled cap greenness was assessed after
a given fire and can therefore be considered to be a metric of fire severity (low
greenness <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> high severity).</p>
      <p id="d1e1888">Total emissions from ABoVE-FED are relatively consistent with past efforts,
including AKFED and GFED4s, but with some important differences. Total
emissions and mean combustion (Fig. S22) in Alaska were similar between
ABoVE-FED and AKFED, which is expected given the similar field observations
from Alaska used to develop these models. However, although AKFED was
extended to the Yukon and Northwest Territories (Veraverbeke et al., 2017),
it did not incorporate field observations from these regions. By utilizing
797 field plots across these provinces (albeit heavily dominated by the
Northwest Territories), our results suggest AKFED tended to underestimate
combustion in the Yukon and overestimate combustion in the Northwest
Territories, especially during the large-fire year of 2014. ABoVE-FED also
includes many more predictor variables than AKFED and is based on a
different statistical model. We did not find large variations in mean
combustion from year to year (Fig. 2), which is likely related to both the
tendency of the random forest models to regress to the mean (Fig. S25) and relatively consistent observed mean combustion across large regions
of the ABoVE domain (Walker et al., 2020a, c).</p>
      <p id="d1e1891">GFED4s is a widely used data source for global and regional burned area and
fire emissions. Our results suggest GFED4s underestimates combustion across
the ABoVE domain by roughly <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (32 %; Fig. S34; mean of 3.39 kg C m<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in ABoVE-FED compared to 2.30 kg C m<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in GFED4s), leading
to 36 % lower total emissions compared to ABoVE-FED (Fig. S33). This is
consistent with previous regional studies noting a consistent
underestimation for GFED4s emissions in Alaska (Veraverbeke et al., 2015)
and the Northwest Territories (Walker et al., 2018). This result has
important implications for quantifying and understanding the role of
arctic–boreal fires in the global carbon cycle and climate. Regional- to
continental-scale upscaling efforts such as ABoVE-FED, including the
underlying field observation database (Walker et al., 2020a), can help
inform further versions of global fire models and thereby improve our
quantification and understanding of the role of wildfire in the global
carbon cycle.</p>
      <p id="d1e1930">In contrast to AKFED and GFED4s, fire carbon emissions in FireMIP were an
order of magnitude lower (94 %) than ABoVE-FED (Fig. S23b). This is
likely due to the fact that most models in FireMIP only combust aboveground
vegetation, whereas combustion of belowground soil organic matter
constitutes the majority of emissions in boreal Alaska and Canada. This
underscores the importance of developing algorithms that accumulate and burn
soil organic matter within global fire models, which is important for both
direct fire emissions and post-fire permafrost thaw and degradation
(Genet et al., 2013; Jafarov et al., 2013; Natali et al., 2021; Treharne et
al., 2022).</p>
      <p id="d1e1933">ABoVE-FED confirms the high interannual variability in fire carbon emissions
in the ABoVE domain, including the large-fire years of 2004 in Alaska and
the Yukon Territory, 2005 in Alaska, 2010 in Saskatchewan, 2014 in the
Northwest Territories, and 2015 in Alaska and Saskatchewan. We also found
general agreement with previous work (Turetsky et al., 2011) that large-fire
years and later-season fires facilitate deeper burning and higher
belowground carbon emissions, including the phenomenon that burn timing has
a stronger influence on severity in small-fire years (i.e., extreme fire years
result in high severity regardless of timing). However, these relationships
varied depending on region and analysis technique and were often confounded
by site-level factors and fire weather at the time of burn. Overall,
however, this underscores the influence that climate change (warming,
drying, and longer fire seasons) has on boreal fire severity.</p>
      <p id="d1e1936">Consistent with previous studies (Rogers et al., 2014; Veraverbeke et al.,
2015; Walker et al., 2018; Dieleman et al., 2020), ABoVE-FED includes high
uncertainty in combustion at the pixel level (2.86 kg C m<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Much of
this uncertainty likely arises from difficulty in predicting<?pagebreak page2799?> large
combustion values, particularly from belowground sources (Fig. S25b). This
suggests ABoVE-FED is underpredicting emissions coming from the most severe
fire events between 2001–2019. We attempted to correct for this bias in a
number of ways, including testing a variety of models (Fig. 6), tuning
model parameters, assigning higher weights to the highest combustion values,
and applying the synthetic minority oversampling technique (SMOTE; Chawla et
al., 2002) to synthetically create more samples with higher combustion
values. Ultimately, none of these approaches were able to correct for the
low bias at high combustion levels without sacrificing performance for low
combustion values. More field observations of high combustion combined with
improved predictor variables (particularly drainage) may improve future
model performance. Also consistent with previous studies, these pixel-level
uncertainties were dampened through spatial averaging, such that domain-wide
mean combustion had comparatively lower uncertainty (3.13 <inline-formula><mml:math id="M93" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.17 kg C m<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e1980">Here we used 30 m Landsat and 500 m MODIS imagery to map burned area across
Alaska and Canada and map fire carbon emissions across the ABoVE domain
over a 19-year period between 2001–2019. We utilized a recent field database
of combustion observations across the ABoVE domain (Walker et al., 2020a),
which represents the largest of its kind for any biome on Earth. We found
burned area and total emissions are highly variable by year, averaging 2.37 Mha of burned area and 79.26 <inline-formula><mml:math id="M95" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28.65 Tg C emitted per year across the
ABoVE domain (2.87 Mha of burned area across all of Alaska and Canada), with
a mean combustion level of 3.13 <inline-formula><mml:math id="M96" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.20 kg C m<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. When compared to
previous products we report more burned area than GFED4s and the MODIS
MC64A1 Collection 5 and 6 products. We report similar carbon emissions to
AKFED, but more emissions than both GFED4s and FireMIP. ABoVE-FED can be
used to understand patterns of fire behavior and effects across central and
western boreal North America and to continue monitoring intensifying fire
regimes in boreal forests.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e2013">The burned-area, combustion, and burned-depth databases associated with this
publication can be found in Potter et al. (2022; <uri>https://doi.org/10.3334/ORNLDAAC/2063</uri>). Code is available upon request from the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2019">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-20-2785-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-20-2785-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2028">SP and BMR contributed to original draft writing. SV, XW, MCM,
SJG, JB, LBC, NF, EEH, LJ, JFJ, ESK, SMN, JTR,
MRT, and BMR contributed to conceptualization. SP, SC, SH, and
BMR contributed to formal analysis. SV, XW, MCM, SJG, LBG,
NF, SMN, JTR, MRT, and BMR contributed to funding acquisition.
SP, SC, SV, XW, JTR, and BMR contributed to investigation.
SP, SC, SV, XW, MCM, SJG, JTR, and BMR contributed to
methodology. BMR was project administrator. EEH contributed project
resources. SV, XW, MCM, SJG, SMN, JTR, and BMR contributed
to project supervision. SP and SC contributed to data curation,
validation and visualization, and software development. All authors
contributed to the writing–review process.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2034">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2040">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e2046">This article is part of the special issue “The role of fire in the Earth system: understanding interactions with the land, atmosphere, and society (ESD/ACP/BG/GMD/NHESS inter-journal SI)”. It is a result of the EGU General Assembly 2020, 4–8 May 2020.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2052">Computing resources for this work were provided by the NASA High-End
Computing Program through the NASA Center for Climate Simulation at Goddard
Space Flight Center.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2057">This work was funded by the National Aeronautics and Space Administration
(NASA) Arctic–Boreal Vulnerability Experiment (ABoVE grants NNX15AU56A and
NX15AT71A to Brendan M. Rogers and Michelle C. Mack and grants NNX15AT83A and 80NSSC19M0107 to Laura Bourgeau-Chavez,
Nancy H. French, and Liza Jenkins), the Gordon and Betty Moore Foundation (grant no. 8414),
the Woodwell Climate Research Center's Fund for Climate Solutions, and the
Department of Defense (DoD) Strategic Environmental Research and Development
Program (SERDP contract RC18-1183). Sander Veraverbeke was supported by the Dutch Research
Council through Vidi grant 016.Vidi.189.070 and by the European Research
Council under the European Union's Horizon 2020 research and innovation
program (grant agreement no. 101000987). In-kind support was provided
through Bonanza Creek LTER with funding from the National Science Foundation
(DEB-1636476) and the USDA Forest Service, Pacific Northwest Research
Station (RJVA-PNW-01-JV-11261952-231).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2063">This paper was edited by Renata Libonati and reviewed by João Silva and three anonymous referees.</p>
  </notes><ref-list>
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